From 4c1fd36cd42323e5a8969a8dc8f64d581733a219 Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 09:17:49 -0400 Subject: [PATCH 1/8] set up benchmark structure --- Project.toml | 2 +- benchmark/Project.toml | 9 +++++++++ 2 files changed, 10 insertions(+), 1 deletion(-) create mode 100644 benchmark/Project.toml diff --git a/Project.toml b/Project.toml index ca18875e4..1b69c520a 100644 --- a/Project.toml +++ b/Project.toml @@ -4,7 +4,7 @@ version = "0.7.0" authors = ["Paul Brehmer", "Lander Burgelman", "Zhengyuan Yue", "Lukas Devos "] [workspace] -projects = ["test", "docs"] +projects = ["test", "docs", "benchmark"] [deps] Accessors = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697" diff --git a/benchmark/Project.toml b/benchmark/Project.toml new file mode 100644 index 000000000..560820bf6 --- /dev/null +++ b/benchmark/Project.toml @@ -0,0 +1,9 @@ +name = "PEPSKitBenchmarks" + +[deps] +BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" +PEPSKit = "52969e89-939e-4361-9b68-9bc7cde4bdeb" +TensorKit = "07d1fe3e-3e46-537d-9eac-e9e13d0d4cec" + +[sources] +PEPSKit = {path = ".."} From a0b6bfe12203b99924b72b8cd6d73bb03fe169de Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 09:39:57 -0400 Subject: [PATCH 2/8] initial CTMRG benchmark implementation --- .../PEPSKitBenchmarks/PEPSKitBenchmarks.jl | 56 +++++++++++++++++++ .../ctmrg/CTMRGBenchmarks.jl | 41 ++++++++++++++ .../ctmrg/ctmrg_iteration_benchmarks.jl | 47 ++++++++++++++++ .../PEPSKitBenchmarks/ctmrg/default.toml | 17 ++++++ .../PEPSKitBenchmarks/utils/BenchUtils.jl | 11 ++++ benchmark/Project.toml | 1 + benchmark/benchmarks.jl | 17 ++++++ 7 files changed, 190 insertions(+) create mode 100644 benchmark/PEPSKitBenchmarks/PEPSKitBenchmarks.jl create mode 100644 benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl create mode 100644 benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl create mode 100644 benchmark/PEPSKitBenchmarks/ctmrg/default.toml create mode 100644 benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl create mode 100644 benchmark/benchmarks.jl diff --git a/benchmark/PEPSKitBenchmarks/PEPSKitBenchmarks.jl b/benchmark/PEPSKitBenchmarks/PEPSKitBenchmarks.jl new file mode 100644 index 000000000..2d41d668e --- /dev/null +++ b/benchmark/PEPSKitBenchmarks/PEPSKitBenchmarks.jl @@ -0,0 +1,56 @@ +module PEPSKitBenchmarks + +using BenchmarkTools +using PEPSKit +using TOML + +include("utils/BenchUtils.jl") + +BenchmarkTools.DEFAULT_PARAMETERS.seconds = 60.0 +BenchmarkTools.DEFAULT_PARAMETERS.samples = 5 +BenchmarkTools.DEFAULT_PARAMETERS.evals = 1 + +const PARAMS_PATH = joinpath(@__DIR__, "etc", "params.json") +const SUITE = BenchmarkGroup() +const MODULES = Dict{String, Symbol}( + "ctmrg" => :CTMRGBenchmarks, +) + +include("ctmrg/CTMRGBenchmarks.jl") + +load!(id::AbstractString; kwargs...) = load!(SUITE, id; kwargs...) + +function load!(group::BenchmarkGroup, id::AbstractString; tune::Bool = false) + modsym = MODULES[id] + mod = Core.eval(@__MODULE__, modsym) + modsuite = @invokelatest getglobal(mod, :SUITE) + group[id] = modsuite + if tune + results = BenchmarkTools.load(PARAMS_PATH)[1] + haskey(results, id) && loadparams!(modsuite, results[id], :evals) + end + return group +end + +loadall!(; kwargs...) = loadall!(SUITE; kwargs...) + +function loadall!(group::BenchmarkGroup; verbose::Bool = true, tune::Bool = false) + for id in keys(MODULES) + if verbose + print("loading group $(repr(id))... ") + time = @elapsed load!(group, id; tune = false) + println("done (took $time seconds)") + else + load!(group, id; tune = false) + end + end + if tune + results = BenchmarkTools.load(PARAMS_PATH)[1] + for (id, suite) in group + haskey(results, id) && loadparams!(suite, results[id], :evals) + end + end + return group +end + +end # module diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl new file mode 100644 index 000000000..0a7079215 --- /dev/null +++ b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl @@ -0,0 +1,41 @@ +module CTMRGBenchmarks + +export CTMRGSpec + +using BenchmarkTools +using TOML +using TensorKit +using PEPSKit +using ..BenchUtils +import ..BenchUtils: tomlify, untomlify + +const SUITE = BenchmarkGroup() + +include("ctmrg_iteration_benchmarks.jl") + +const allparams = Dict( + "default" => TOML.parsefile(joinpath(@__DIR__, "default.toml")), +) + +const CTMRG_ALGS = ( + "SequentialCTMRG_HalfInfinite" => SequentialCTMRG(; projector_alg = :HalfInfiniteProjector), + "SimultaneousCTMRG_HalfInfinite" => SimultaneousCTMRG(; projector_alg = :HalfInfiniteProjector), +) + +T = ComplexF64 + +for (alg_name, alg) in CTMRG_ALGS + g_alg = addgroup!(SUITE, alg_name) + for (scenario, params) in allparams + g_scen = addgroup!(g_alg, scenario) + for (sym_name, specs) in params + g_sym = addgroup!(g_scen, sym_name) + for spec_dict in specs + spec = untomlify(CTMRGSpec, spec_dict) + g_sym[benchname(spec)] = ctmrg_iteration_benchmark(spec, alg; T) + end + end + end +end + +end # module diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl new file mode 100644 index 000000000..3764491b4 --- /dev/null +++ b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl @@ -0,0 +1,47 @@ +struct CTMRGSpec{S <: ElementarySpace} + unitcell::Tuple{Int, Int} + Pspace::S + Dspace::S + chispace::S +end + +function benchname(spec::CTMRGSpec) + return "$(spec.unitcell[1])x$(spec.unitcell[2])_D$(dim(spec.Dspace))_chi$(dim(spec.chispace))" +end + +function setup_problem(spec::CTMRGSpec; T::Type = ComplexF64) + rows, cols = spec.unitcell + Pspaces = fill(spec.Pspace, rows, cols) + Nspaces = fill(spec.Dspace, rows, cols) + Espaces = fill(spec.Dspace, rows, cols) + chis = fill(spec.chispace, rows, cols) + + peps = InfinitePEPS(randn, T, Pspaces, Nspaces, Espaces) + env = CTMRGEnv(randn, T, peps, chis, chis, chis, chis) + network = InfiniteSquareNetwork(peps) + return network, env +end + +function ctmrg_iteration_benchmark(spec::CTMRGSpec, alg; T::Type = ComplexF64) + network, env = setup_problem(spec; T) + return @benchmarkable PEPSKit.ctmrg_iteration($network, $env, $alg) +end + +function tomlify(spec::CTMRGSpec) + return Dict( + "unitcell" => collect(spec.unitcell), + "Pspace" => tomlify(spec.Pspace), + "Dspace" => tomlify(spec.Dspace), + "chispace" => tomlify(spec.chispace), + ) +end + +function untomlify(::Type{CTMRGSpec}, d) + to_space = Base.Fix1(untomlify, VectorSpace) + return CTMRGSpec( + (Int(d["unitcell"][1]), Int(d["unitcell"][2])), + to_space(d["Pspace"]), + to_space(d["Dspace"]), + to_space(d["chispace"]), + ) +end diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml new file mode 100644 index 000000000..7a109e9ce --- /dev/null +++ b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml @@ -0,0 +1,17 @@ +[[Trivial]] +unitcell = [1, 1] +Pspace = "ℂ^2" +Dspace = "ℂ^2" +chispace = "ℂ^8" + +[[Trivial]] +unitcell = [2, 1] +Pspace = "ℂ^2" +Dspace = "ℂ^2" +chispace = "ℂ^8" + +[[Trivial]] +unitcell = [2, 2] +Pspace = "ℂ^2" +Dspace = "ℂ^2" +chispace = "ℂ^8" diff --git a/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl b/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl new file mode 100644 index 000000000..20c722837 --- /dev/null +++ b/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl @@ -0,0 +1,11 @@ +module BenchUtils + +export tomlify, untomlify + +using TensorKit +using TOML + +tomlify(V::VectorSpace) = sprint(show, V; context = :limited => false) +untomlify(::Type{<:VectorSpace}, s::AbstractString) = eval(Meta.parse(s)) + +end diff --git a/benchmark/Project.toml b/benchmark/Project.toml index 560820bf6..73c4c1343 100644 --- a/benchmark/Project.toml +++ b/benchmark/Project.toml @@ -3,6 +3,7 @@ name = "PEPSKitBenchmarks" [deps] BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" PEPSKit = "52969e89-939e-4361-9b68-9bc7cde4bdeb" +TOML = "fa267f1f-6049-4f14-aa54-33bafae1ed76" TensorKit = "07d1fe3e-3e46-537d-9eac-e9e13d0d4cec" [sources] diff --git a/benchmark/benchmarks.jl b/benchmark/benchmarks.jl new file mode 100644 index 000000000..149cce4c8 --- /dev/null +++ b/benchmark/benchmarks.jl @@ -0,0 +1,17 @@ +# Load benchmark code +include("PEPSKitBenchmarks/PEPSKitBenchmarks.jl") +const SUITE = PEPSKitBenchmarks.SUITE + +# Populate benchmarks +# Detect if user supplied extra arguments to load only specific modules +# e.g. julia benchmarks.jl --modules=ctmrg +modules_pattern = r"(?:--modules=)([\w,]+)" +arg_id = findfirst(contains(modules_pattern), ARGS) +if isnothing(arg_id) + PEPSKitBenchmarks.loadall!() +else + modules = split(match(modules_pattern, ARGS[arg_id]).captures[1], ",") + for m in modules + PEPSKitBenchmarks.load!(m) + end +end From e0409d86a8442edf423dc58ade306023fc817733 Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 14:58:18 -0400 Subject: [PATCH 3/8] allow unitcell spaces --- .../ctmrg/ctmrg_iteration_benchmarks.jl | 101 ++++++++++++++---- .../PEPSKitBenchmarks/ctmrg/default.toml | 27 +++++ 2 files changed, 108 insertions(+), 20 deletions(-) diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl index 3764491b4..9c1602d78 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl +++ b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl @@ -1,23 +1,31 @@ struct CTMRGSpec{S <: ElementarySpace} unitcell::Tuple{Int, Int} - Pspace::S - Dspace::S - chispace::S + Pspaces::Matrix{S} + Nspaces::Matrix{S} + Espaces::Matrix{S} + chi_north::Matrix{S} + chi_east::Matrix{S} + chi_south::Matrix{S} + chi_west::Matrix{S} end +_dimtag(spaces) = join(sort!(unique(dim(V) for V in spaces)), "-") + function benchname(spec::CTMRGSpec) - return "$(spec.unitcell[1])x$(spec.unitcell[2])_D$(dim(spec.Dspace))_chi$(dim(spec.chispace))" + rows, cols = spec.unitcell + Dtag = _dimtag(Iterators.flatten((spec.Nspaces, spec.Espaces))) + chitag = _dimtag( + Iterators.flatten((spec.chi_north, spec.chi_east, spec.chi_south, spec.chi_west)) + ) + return "$(rows)x$(cols)_D$(Dtag)_chi$(chitag)" end function setup_problem(spec::CTMRGSpec; T::Type = ComplexF64) - rows, cols = spec.unitcell - Pspaces = fill(spec.Pspace, rows, cols) - Nspaces = fill(spec.Dspace, rows, cols) - Espaces = fill(spec.Dspace, rows, cols) - chis = fill(spec.chispace, rows, cols) - - peps = InfinitePEPS(randn, T, Pspaces, Nspaces, Espaces) - env = CTMRGEnv(randn, T, peps, chis, chis, chis, chis) + peps = InfinitePEPS(randn, T, spec.Pspaces, spec.Nspaces, spec.Espaces) + env = CTMRGEnv( + randn, T, peps, + spec.chi_north, spec.chi_east, spec.chi_south, spec.chi_west, + ) network = InfiniteSquareNetwork(peps) return network, env end @@ -27,21 +35,74 @@ function ctmrg_iteration_benchmark(spec::CTMRGSpec, alg; T::Type = ComplexF64) return @benchmarkable PEPSKit.ctmrg_iteration($network, $env, $alg) end +# Convert a TOML value (scalar string or 2D array of strings) to a Matrix sized to `unitcell`. +function _to_space_matrix(val::AbstractString, unitcell::Tuple{Int, Int}, key::AbstractString) + V = untomlify(VectorSpace, val) + return fill(V, unitcell) +end +function _to_space_matrix(val::AbstractVector, unitcell::Tuple{Int, Int}, key::AbstractString) + rows, cols = unitcell + length(val) == rows || throw( + ArgumentError( + "Field `$key` has $(length(val)) rows but unitcell expects $rows." + ) + ) + for (r, row) in enumerate(val) + length(row) == cols || throw( + ArgumentError( + "Field `$key` row $r has $(length(row)) cols but unitcell expects $cols." + ) + ) + end + return [untomlify(VectorSpace, val[r][c]) for r in 1:rows, c in 1:cols] +end + +# Resolve a per-direction matrix by trying `direct_keys` first, then falling back to `fallback_keys`. +function _resolve_matrix(d, unitcell, direct_keys, fallback_keys, label) + for k in direct_keys + haskey(d, k) && return _to_space_matrix(d[k], unitcell, k) + end + for k in fallback_keys + haskey(d, k) && return _to_space_matrix(d[k], unitcell, k) + end + throw( + ArgumentError( + "Spec is missing `$label`: provide one of $(direct_keys) or a fallback in $(fallback_keys)." + ) + ) +end + function tomlify(spec::CTMRGSpec) return Dict( "unitcell" => collect(spec.unitcell), - "Pspace" => tomlify(spec.Pspace), - "Dspace" => tomlify(spec.Dspace), - "chispace" => tomlify(spec.chispace), + "Pspaces" => _matrix_tomlify(spec.Pspaces), + "Nspaces" => _matrix_tomlify(spec.Nspaces), + "Espaces" => _matrix_tomlify(spec.Espaces), + "chi_north" => _matrix_tomlify(spec.chi_north), + "chi_east" => _matrix_tomlify(spec.chi_east), + "chi_south" => _matrix_tomlify(spec.chi_south), + "chi_west" => _matrix_tomlify(spec.chi_west), ) end +_matrix_tomlify(M::AbstractMatrix{<:ElementarySpace}) = + [[tomlify(M[r, c]) for c in axes(M, 2)] for r in axes(M, 1)] + function untomlify(::Type{CTMRGSpec}, d) - to_space = Base.Fix1(untomlify, VectorSpace) + unitcell = (Int(d["unitcell"][1]), Int(d["unitcell"][2])) + + Pspaces = _resolve_matrix(d, unitcell, ("Pspaces", "Pspace"), (), "physical space") + Nspaces = _resolve_matrix(d, unitcell, ("Nspaces", "Dspace"), (), "north virtual space") + Espaces = _resolve_matrix(d, unitcell, ("Espaces", "Dspace"), ("Nspaces",), "east virtual space") + + chi_north = _resolve_matrix(d, unitcell, ("chi_north", "chispace"), (), "north environment space") + chi_east = _resolve_matrix(d, unitcell, ("chi_east", "chispace"), ("chi_north",), "east environment space") + chi_south = _resolve_matrix(d, unitcell, ("chi_south", "chispace"), ("chi_north",), "south environment space") + chi_west = _resolve_matrix(d, unitcell, ("chi_west", "chispace"), ("chi_north",), "west environment space") + return CTMRGSpec( - (Int(d["unitcell"][1]), Int(d["unitcell"][2])), - to_space(d["Pspace"]), - to_space(d["Dspace"]), - to_space(d["chispace"]), + unitcell, + Pspaces, Nspaces, Espaces, + chi_north, chi_east, chi_south, chi_west, ) end diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml index 7a109e9ce..7da664152 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml +++ b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml @@ -15,3 +15,30 @@ unitcell = [2, 2] Pspace = "ℂ^2" Dspace = "ℂ^2" chispace = "ℂ^8" + +# Non-uniform spaces across the unit cell. Each entry mixes scalar (broadcast) +# and matrix (per-site) fields. See ctmrg_iteration_benchmarks.jl for the +# fallback resolution rules. + +# Mixed virtual bond dimensions across columns; environment uniform. +[[NonUniform]] +unitcell = [2, 2] +Pspace = "ℂ^2" +Nspaces = [["ℂ^2", "ℂ^3"], ["ℂ^2", "ℂ^3"]] +chispace = "ℂ^8" + +# Anisotropic environment: north/south chi differs from east/west chi. +[[NonUniform]] +unitcell = [2, 2] +Pspace = "ℂ^2" +Dspace = "ℂ^2" +chi_north = "ℂ^8" +chi_east = "ℂ^12" + +# Fully heterogeneous 2x1: row-varying D and environment. +[[NonUniform]] +unitcell = [2, 1] +Pspace = "ℂ^2" +Nspaces = [["ℂ^2"], ["ℂ^3"]] +Espaces = [["ℂ^2"], ["ℂ^3"]] +chi_north = [["ℂ^8"], ["ℂ^12"]] From 7fd1714bbafea2dd7c9902a823a606add6f6b565 Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 14:59:40 -0400 Subject: [PATCH 4/8] add SU(3) spaces --- .../ctmrg/CTMRGBenchmarks.jl | 1 + .../PEPSKitBenchmarks/ctmrg/su3_hubbard.toml | 346 ++++++++++++++++++ .../PEPSKitBenchmarks/utils/BenchUtils.jl | 2 + benchmark/Project.toml | 1 + 4 files changed, 350 insertions(+) create mode 100644 benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl index 0a7079215..91d8605cc 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl +++ b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl @@ -15,6 +15,7 @@ include("ctmrg_iteration_benchmarks.jl") const allparams = Dict( "default" => TOML.parsefile(joinpath(@__DIR__, "default.toml")), + "su3_hubbard" => TOML.parsefile(joinpath(@__DIR__, "su3_hubbard.toml")), ) const CTMRG_ALGS = ( diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml b/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml new file mode 100644 index 000000000..a976ed60c --- /dev/null +++ b/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml @@ -0,0 +1,346 @@ +[[f]] +Espaces = [["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)"]] +Nspaces = [["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)"]] +Pspaces = [["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"]] +chi_east = [["Vect[FermionParity](0 => 20, 1 => 12)", "Vect[FermionParity](0 => 19, 1 => 12)", "Vect[FermionParity](0 => 24, 1 => 12)"], ["Vect[FermionParity](0 => 19, 1 => 12)", "Vect[FermionParity](0 => 20, 1 => 15)", "Vect[FermionParity](0 => 20, 1 => 15)"], ["Vect[FermionParity](0 => 20, 1 => 15)", "Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 18, 1 => 12)"]] +chi_north = [["Vect[FermionParity](0 => 19, 1 => 15)", "Vect[FermionParity](0 => 12, 1 => 18)", "Vect[FermionParity](0 => 23, 1 => 12)"], ["Vect[FermionParity](0 => 20, 1 => 12)", "Vect[FermionParity](0 => 20, 1 => 15)", "Vect[FermionParity](0 => 19, 1 => 12)"], ["Vect[FermionParity](0 => 18, 1 => 12)", "Vect[FermionParity](0 => 18, 1 => 12)", "Vect[FermionParity](0 => 19, 1 => 15)"]] +chi_south = [["Vect[FermionParity](0 => 20, 1 => 15)", "Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 12, 1 => 24)"], ["Vect[FermionParity](0 => 20, 1 => 12)", "Vect[FermionParity](0 => 11, 1 => 18)", "Vect[FermionParity](0 => 24, 1 => 12)"], ["Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 19, 1 => 12)", "Vect[FermionParity](0 => 22, 1 => 12)"]] +chi_west = [["Vect[FermionParity](0 => 22, 1 => 12)", "Vect[FermionParity](0 => 12, 1 => 24)", "Vect[FermionParity](0 => 17, 1 => 12)"], ["Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 20, 1 => 15)"], ["Vect[FermionParity](0 => 19, 1 => 12)", "Vect[FermionParity](0 => 12, 1 => 18)", "Vect[FermionParity](0 => 18, 1 => 18)"]] +unitcell = [3, 3] +[[f]] +Espaces = [["Vect[FermionParity](0 => 3, 1 => 2)", "Vect[FermionParity](0 => 3, 1 => 2)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 4, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 4)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 4, 1 => 3)", "Vect[FermionParity](0 => 4, 1 => 3)"]] +Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 1, 1 => 6)", "Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 4, 1 => 3)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 4, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 4)"]] +Pspaces = [["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"]] +chi_east = [["Vect[FermionParity](0 => 18, 1 => 30)", "Vect[FermionParity](0 => 13, 1 => 30)", "Vect[FermionParity](0 => 27, 1 => 18)"], ["Vect[FermionParity](0 => 25, 1 => 24)", "Vect[FermionParity](0 => 25, 1 => 24)", "Vect[FermionParity](0 => 19, 1 => 30)"], ["Vect[FermionParity](0 => 33, 1 => 12)", "Vect[FermionParity](0 => 17, 1 => 30)", "Vect[FermionParity](0 => 12, 1 => 30)"]] +chi_north = [["Vect[FermionParity](0 => 21, 1 => 24)", "Vect[FermionParity](0 => 23, 1 => 24)", "Vect[FermionParity](0 => 37, 1 => 12)"], ["Vect[FermionParity](0 => 24, 1 => 24)", "Vect[FermionParity](0 => 26, 1 => 21)", "Vect[FermionParity](0 => 12, 1 => 36)"], ["Vect[FermionParity](0 => 31, 1 => 18)", "Vect[FermionParity](0 => 27, 1 => 18)", "Vect[FermionParity](0 => 19, 1 => 30)"]] +chi_south = [["Vect[FermionParity](0 => 31, 1 => 18)", "Vect[FermionParity](0 => 27, 1 => 18)", "Vect[FermionParity](0 => 13, 1 => 33)"], ["Vect[FermionParity](0 => 25, 1 => 24)", "Vect[FermionParity](0 => 30, 1 => 18)", "Vect[FermionParity](0 => 27, 1 => 18)"], ["Vect[FermionParity](0 => 24, 1 => 24)", "Vect[FermionParity](0 => 33, 1 => 12)", "Vect[FermionParity](0 => 18, 1 => 24)"]] +chi_west = [["Vect[FermionParity](0 => 19, 1 => 24)", "Vect[FermionParity](0 => 31, 1 => 18)", "Vect[FermionParity](0 => 19, 1 => 30)"], ["Vect[FermionParity](0 => 21, 1 => 24)", "Vect[FermionParity](0 => 27, 1 => 18)", "Vect[FermionParity](0 => 25, 1 => 24)"], ["Vect[FermionParity](0 => 24, 1 => 24)", "Vect[FermionParity](0 => 25, 1 => 24)", "Vect[FermionParity](0 => 19, 1 => 30)"]] +unitcell = [3, 3] +[[f]] +Espaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] +Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] +Pspaces = [["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"]] +chi_east = [["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 39, 1 => 18)", "Vect[FermionParity](0 => 46, 1 => 18)"], ["Vect[FermionParity](0 => 39, 1 => 18)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)"], ["Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 39, 1 => 18)"]] +chi_north = [["Vect[FermionParity](0 => 39, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)"], ["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 18)"], ["Vect[FermionParity](0 => 45, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)"]] +chi_south = [["Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)"], ["Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 39, 1 => 24)"], ["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 46, 1 => 18)"]] +chi_west = [["Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)"], ["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 24)"], ["Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 28, 1 => 36)"]] +unitcell = [3, 3] +[[f]] +Espaces = [["Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"]] +Nspaces = [["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)"]] +Pspaces = [["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"]] +chi_east = [["Vect[FermionParity](0 => 53, 1 => 24)", "Vect[FermionParity](0 => 46, 1 => 30)", "Vect[FermionParity](0 => 44, 1 => 36)"], ["Vect[FermionParity](0 => 54, 1 => 27)", "Vect[FermionParity](0 => 44, 1 => 36)", "Vect[FermionParity](0 => 55, 1 => 24)"], ["Vect[FermionParity](0 => 44, 1 => 36)", "Vect[FermionParity](0 => 53, 1 => 24)", "Vect[FermionParity](0 => 46, 1 => 30)"]] +chi_north = [["Vect[FermionParity](0 => 44, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 30)", "Vect[FermionParity](0 => 53, 1 => 24)"], ["Vect[FermionParity](0 => 46, 1 => 30)", "Vect[FermionParity](0 => 55, 1 => 24)", "Vect[FermionParity](0 => 44, 1 => 36)"], ["Vect[FermionParity](0 => 53, 1 => 24)", "Vect[FermionParity](0 => 44, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 30)"]] +chi_south = [["Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 36, 1 => 42)", "Vect[FermionParity](0 => 51, 1 => 30)"], ["Vect[FermionParity](0 => 38, 1 => 42)", "Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 54, 1 => 24)"], ["Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 38, 1 => 42)"]] +chi_west = [["Vect[FermionParity](0 => 38, 1 => 42)", "Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 51, 1 => 30)"], ["Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 38, 1 => 42)"], ["Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 36, 1 => 42)", "Vect[FermionParity](0 => 54, 1 => 24)"]] +unitcell = [3, 3] +[[f]] +Espaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] +Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 7, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] +Pspaces = [["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"]] +chi_east = [["Vect[FermionParity](0 => 50, 1 => 48)", "Vect[FermionParity](0 => 70, 1 => 30)", "Vect[FermionParity](0 => 74, 1 => 24)"], ["Vect[FermionParity](0 => 70, 1 => 30)", "Vect[FermionParity](0 => 54, 1 => 42)", "Vect[FermionParity](0 => 64, 1 => 36)"], ["Vect[FermionParity](0 => 56, 1 => 42)", "Vect[FermionParity](0 => 58, 1 => 42)", "Vect[FermionParity](0 => 70, 1 => 30)"]] +chi_north = [["Vect[FermionParity](0 => 71, 1 => 27)", "Vect[FermionParity](0 => 64, 1 => 36)", "Vect[FermionParity](0 => 65, 1 => 30)"], ["Vect[FermionParity](0 => 64, 1 => 36)", "Vect[FermionParity](0 => 54, 1 => 42)", "Vect[FermionParity](0 => 70, 1 => 30)"], ["Vect[FermionParity](0 => 55, 1 => 42)", "Vect[FermionParity](0 => 70, 1 => 30)", "Vect[FermionParity](0 => 64, 1 => 36)"]] +chi_south = [["Vect[FermionParity](0 => 68, 1 => 30)", "Vect[FermionParity](0 => 55, 1 => 42)", "Vect[FermionParity](0 => 58, 1 => 42)"], ["Vect[FermionParity](0 => 64, 1 => 36)", "Vect[FermionParity](0 => 50, 1 => 48)", "Vect[FermionParity](0 => 66, 1 => 30)"], ["Vect[FermionParity](0 => 57, 1 => 42)", "Vect[FermionParity](0 => 68, 1 => 30)", "Vect[FermionParity](0 => 63, 1 => 36)"]] +chi_west = [["Vect[FermionParity](0 => 56, 1 => 42)", "Vect[FermionParity](0 => 54, 1 => 45)", "Vect[FermionParity](0 => 64, 1 => 36)"], ["Vect[FermionParity](0 => 50, 1 => 48)", "Vect[FermionParity](0 => 63, 1 => 36)", "Vect[FermionParity](0 => 70, 1 => 30)"], ["Vect[FermionParity](0 => 63, 1 => 36)", "Vect[FermionParity](0 => 68, 1 => 30)", "Vect[FermionParity](0 => 57, 1 => 42)"]] +unitcell = [3, 3] +[[f]] +Espaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 8, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 8, 1 => 3)"]] +Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 7, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 8, 1 => 3)"]] +Pspaces = [["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"], ["Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)", "Vect[FermionParity](0 => 4, 1 => 4)"]] +chi_east = [["Vect[FermionParity](0 => 64, 1 => 54)", "Vect[FermionParity](0 => 84, 1 => 30)", "Vect[FermionParity](0 => 88, 1 => 30)"], ["Vect[FermionParity](0 => 83, 1 => 36)", "Vect[FermionParity](0 => 81, 1 => 39)", "Vect[FermionParity](0 => 72, 1 => 42)"], ["Vect[FermionParity](0 => 79, 1 => 42)", "Vect[FermionParity](0 => 75, 1 => 44)", "Vect[FermionParity](0 => 86, 1 => 30)"]] +chi_north = [["Vect[FermionParity](0 => 86, 1 => 30)", "Vect[FermionParity](0 => 73, 1 => 48)", "Vect[FermionParity](0 => 82, 1 => 36)"], ["Vect[FermionParity](0 => 77, 1 => 44)", "Vect[FermionParity](0 => 78, 1 => 42)", "Vect[FermionParity](0 => 91, 1 => 30)"], ["Vect[FermionParity](0 => 78, 1 => 42)", "Vect[FermionParity](0 => 84, 1 => 30)", "Vect[FermionParity](0 => 72, 1 => 42)"]] +chi_south = [["Vect[FermionParity](0 => 88, 1 => 30)", "Vect[FermionParity](0 => 78, 1 => 42)", "Vect[FermionParity](0 => 60, 1 => 60)"], ["Vect[FermionParity](0 => 71, 1 => 48)", "Vect[FermionParity](0 => 59, 1 => 62)", "Vect[FermionParity](0 => 79, 1 => 42)"], ["Vect[FermionParity](0 => 59, 1 => 60)", "Vect[FermionParity](0 => 76, 1 => 45)", "Vect[FermionParity](0 => 73, 1 => 48)"]] +chi_west = [["Vect[FermionParity](0 => 69, 1 => 48)", "Vect[FermionParity](0 => 60, 1 => 60)", "Vect[FermionParity](0 => 80, 1 => 36)"], ["Vect[FermionParity](0 => 59, 1 => 62)", "Vect[FermionParity](0 => 71, 1 => 48)", "Vect[FermionParity](0 => 84, 1 => 36)"], ["Vect[FermionParity](0 => 63, 1 => 56)", "Vect[FermionParity](0 => 76, 1 => 45)", "Vect[FermionParity](0 => 60, 1 => 60)"]] +unitcell = [3, 3] + +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, -1, 0, 0) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, -2, 0, -2) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 3, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, 1, 1/2, 1) => 1, (1, -1, 1/2, -1) => 1, (1, 1, 0, -2) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (1, -1, 1/2, 1) => 1, (1, -1, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, 1, 1, 4) => 1, (1, 1, 1/2, -5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (1, -1, 1, 2) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 4, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 3, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 3, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 2, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 4, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU2_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 5, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 5, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 5, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +unitcell = [3, 3] + +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, 1, (1, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (1, -1, (1, 0, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (3, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, -1, (0, 0, 0)) => 2, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"]] +unitcell = [3, 3] +[[f_U1_SU3]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 10, (1, -1, (1, 1, 0)) => 10, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 10, (1, -1, (1, 1, 0)) => 10, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 10, (1, -1, (1, 1, 0)) => 10, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 10, (1, -1, (1, 1, 0)) => 10, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 11, (1, -1, (1, 1, 0)) => 11, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 11, (1, -1, (1, 1, 0)) => 11, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, 3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, 3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, 3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"]] +unitcell = [3, 3] + +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, -1, 0, 0) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, -2, 0, -2) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, 1, 1/2, 1) => 1, (1, 1, -1/2, 1) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, 1, 0, -2) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (1, -1, 1/2, 1) => 1, (1, -1, -1/2, 1) => 1, (1, -1, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 0, -1/2, -3) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 5, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, 1, -1, 4) => 1, (1, 1, 1/2, -5) => 1, (1, 1, -1/2, -5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, -1, -1, 2) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, -1, 1, 2) => 1, (1, -1, -1, 2) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 6, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 4, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 6, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (0, -2, -1, -2) => 3, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 2, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 6, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] +unitcell = [3, 3] +[[f_U1_U1_U1]] +Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] +Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] +Pspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] +chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 12, (1, -1, -1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 12, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, 1, -1/2, 1) => 12, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 12, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)"]] +chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, 1, -1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (1, -1, -1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 12, (1, -1, 0, 2) => 12, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, 1, -1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (1, -1, -1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 12, (1, -1, 0, 2) => 12, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"]] +chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] +unitcell = [3, 3] + +[[trivial]] +Espaces = [["ℂ^4", "ℂ^4", "ℂ^4"], ["ℂ^4", "ℂ^4", "ℂ^4"], ["ℂ^4", "ℂ^4", "ℂ^4"]] +Nspaces = [["ℂ^4", "ℂ^4", "ℂ^4"], ["ℂ^4", "ℂ^4", "ℂ^4"], ["ℂ^4", "ℂ^4", "ℂ^4"]] +Pspaces = [["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"]] +chi_east = [["ℂ^32", "ℂ^31", "ℂ^36"], ["ℂ^31", "ℂ^35", "ℂ^35"], ["ℂ^35", "ℂ^36", "ℂ^30"]] +chi_north = [["ℂ^34", "ℂ^30", "ℂ^35"], ["ℂ^32", "ℂ^35", "ℂ^31"], ["ℂ^30", "ℂ^30", "ℂ^34"]] +chi_south = [["ℂ^35", "ℂ^36", "ℂ^36"], ["ℂ^32", "ℂ^29", "ℂ^36"], ["ℂ^36", "ℂ^31", "ℂ^34"]] +chi_west = [["ℂ^34", "ℂ^36", "ℂ^29"], ["ℂ^36", "ℂ^36", "ℂ^35"], ["ℂ^31", "ℂ^30", "ℂ^36"]] +unitcell = [3, 3] +[[trivial]] +Espaces = [["ℂ^5", "ℂ^5", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^7"]] +Nspaces = [["ℂ^7", "ℂ^7", "ℂ^4"], ["ℂ^7", "ℂ^4", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^7"]] +Pspaces = [["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"]] +chi_east = [["ℂ^48", "ℂ^43", "ℂ^45"], ["ℂ^49", "ℂ^49", "ℂ^49"], ["ℂ^45", "ℂ^47", "ℂ^42"]] +chi_north = [["ℂ^45", "ℂ^47", "ℂ^49"], ["ℂ^48", "ℂ^47", "ℂ^48"], ["ℂ^49", "ℂ^45", "ℂ^49"]] +chi_south = [["ℂ^49", "ℂ^45", "ℂ^46"], ["ℂ^49", "ℂ^48", "ℂ^45"], ["ℂ^48", "ℂ^45", "ℂ^42"]] +chi_west = [["ℂ^43", "ℂ^49", "ℂ^49"], ["ℂ^45", "ℂ^45", "ℂ^49"], ["ℂ^48", "ℂ^49", "ℂ^49"]] +unitcell = [3, 3] +[[trivial]] +Espaces = [["ℂ^7", "ℂ^8", "ℂ^7"], ["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] +Nspaces = [["ℂ^7", "ℂ^8", "ℂ^7"], ["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] +Pspaces = [["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"]] +chi_east = [["ℂ^64", "ℂ^57", "ℂ^64"], ["ℂ^57", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^57"]] +chi_north = [["ℂ^57", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^57"], ["ℂ^63", "ℂ^57", "ℂ^64"]] +chi_south = [["ℂ^63", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^63"], ["ℂ^64", "ℂ^63", "ℂ^64"]] +chi_west = [["ℂ^63", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^63"], ["ℂ^64", "ℂ^63", "ℂ^64"]] +unitcell = [3, 3] +[[trivial]] +Espaces = [["ℂ^9", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"], ["ℂ^7", "ℂ^8", "ℂ^7"]] +Nspaces = [["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"], ["ℂ^7", "ℂ^9", "ℂ^7"]] +Pspaces = [["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"]] +chi_east = [["ℂ^77", "ℂ^76", "ℂ^80"], ["ℂ^81", "ℂ^80", "ℂ^79"], ["ℂ^80", "ℂ^77", "ℂ^76"]] +chi_north = [["ℂ^80", "ℂ^76", "ℂ^77"], ["ℂ^76", "ℂ^79", "ℂ^80"], ["ℂ^77", "ℂ^80", "ℂ^76"]] +chi_south = [["ℂ^78", "ℂ^78", "ℂ^81"], ["ℂ^80", "ℂ^81", "ℂ^78"], ["ℂ^81", "ℂ^78", "ℂ^80"]] +chi_west = [["ℂ^80", "ℂ^78", "ℂ^81"], ["ℂ^78", "ℂ^81", "ℂ^80"], ["ℂ^81", "ℂ^78", "ℂ^78"]] +unitcell = [3, 3] +[[trivial]] +Espaces = [["ℂ^7", "ℂ^8", "ℂ^7"], ["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] +Nspaces = [["ℂ^7", "ℂ^9", "ℂ^7"], ["ℂ^10", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] +Pspaces = [["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"], ["ℂ^8", "ℂ^8", "ℂ^8"]] +chi_east = [["ℂ^98", "ℂ^100", "ℂ^98"], ["ℂ^100", "ℂ^96", "ℂ^100"], ["ℂ^98", "ℂ^100", "ℂ^100"]] +chi_north = [["ℂ^98", "ℂ^100", "ℂ^95"], ["ℂ^100", "ℂ^96", "ℂ^100"], ["ℂ^97", "ℂ^100", "ℂ^100"]] +chi_south = [["ℂ^98", "ℂ^97", "ℂ^100"], ["ℂ^100", "ℂ^98", "ℂ^96"], ["ℂ^99", "ℂ^98", "ℂ^99"]] +chi_west = [["ℂ^98", "ℂ^99", "ℂ^100"], ["ℂ^98", "ℂ^99", "ℂ^100"], ["ℂ^99", "ℂ^98", "ℂ^99"]] +unitcell = [3, 3] diff --git a/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl b/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl index 20c722837..c14ba3ab1 100644 --- a/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl +++ b/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl @@ -3,6 +3,8 @@ module BenchUtils export tomlify, untomlify using TensorKit +using PEPSKit +using SUNRepresentations # provides SU3Irrep / SU₃ for parsed space strings using TOML tomlify(V::VectorSpace) = sprint(show, V; context = :limited => false) diff --git a/benchmark/Project.toml b/benchmark/Project.toml index 73c4c1343..bdc9c5bba 100644 --- a/benchmark/Project.toml +++ b/benchmark/Project.toml @@ -3,6 +3,7 @@ name = "PEPSKitBenchmarks" [deps] BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" PEPSKit = "52969e89-939e-4361-9b68-9bc7cde4bdeb" +SUNRepresentations = "1a50b95c-7aac-476d-a9ce-2bfc675fc617" TOML = "fa267f1f-6049-4f14-aa54-33bafae1ed76" TensorKit = "07d1fe3e-3e46-537d-9eac-e9e13d0d4cec" From 9894663cb638022ec3f08da344747927c5ff414e Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 15:16:17 -0400 Subject: [PATCH 5/8] some simplifications --- .../ctmrg/CTMRGBenchmarks.jl | 10 ++-- .../ctmrg/ctmrg_iteration_benchmarks.jl | 41 +++++-------- .../PEPSKitBenchmarks/ctmrg/default.toml | 57 +++++++++++++------ 3 files changed, 59 insertions(+), 49 deletions(-) diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl index 91d8605cc..6bad25eeb 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl +++ b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl @@ -25,12 +25,12 @@ const CTMRG_ALGS = ( T = ComplexF64 -for (alg_name, alg) in CTMRG_ALGS - g_alg = addgroup!(SUITE, alg_name) - for (scenario, params) in allparams - g_scen = addgroup!(g_alg, scenario) +for (scenario, params) in allparams + g_scen = addgroup!(SUITE, scenario) + for (alg_name, alg) in CTMRG_ALGS + g_alg = addgroup!(g_scen, alg_name) for (sym_name, specs) in params - g_sym = addgroup!(g_scen, sym_name) + g_sym = addgroup!(g_alg, sym_name) for spec_dict in specs spec = untomlify(CTMRGSpec, spec_dict) g_sym[benchname(spec)] = ctmrg_iteration_benchmark(spec, alg; T) diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl index 9c1602d78..f10cab4fd 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl +++ b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl @@ -9,15 +9,14 @@ struct CTMRGSpec{S <: ElementarySpace} chi_west::Matrix{S} end -_dimtag(spaces) = join(sort!(unique(dim(V) for V in spaces)), "-") - function benchname(spec::CTMRGSpec) rows, cols = spec.unitcell - Dtag = _dimtag(Iterators.flatten((spec.Nspaces, spec.Espaces))) - chitag = _dimtag( - Iterators.flatten((spec.chi_north, spec.chi_east, spec.chi_south, spec.chi_west)) + Dmin = min(minimum(dim, spec.Nspaces), minimum(dim, spec.Espaces)) + chimin = min( + minimum(dim, spec.chi_north), minimum(dim, spec.chi_east), + minimum(dim, spec.chi_south), minimum(dim, spec.chi_west) ) - return "$(rows)x$(cols)_D$(Dtag)_chi$(chitag)" + return "$(rows)x$(cols)_D$(Dmin)_chi$(chimin)" end function setup_problem(spec::CTMRGSpec; T::Type = ComplexF64) @@ -57,19 +56,9 @@ function _to_space_matrix(val::AbstractVector, unitcell::Tuple{Int, Int}, key::A return [untomlify(VectorSpace, val[r][c]) for r in 1:rows, c in 1:cols] end -# Resolve a per-direction matrix by trying `direct_keys` first, then falling back to `fallback_keys`. -function _resolve_matrix(d, unitcell, direct_keys, fallback_keys, label) - for k in direct_keys - haskey(d, k) && return _to_space_matrix(d[k], unitcell, k) - end - for k in fallback_keys - haskey(d, k) && return _to_space_matrix(d[k], unitcell, k) - end - throw( - ArgumentError( - "Spec is missing `$label`: provide one of $(direct_keys) or a fallback in $(fallback_keys)." - ) - ) +function _get_matrix(d, key, unitcell) + haskey(d, key) || throw(ArgumentError("Spec is missing required key `$key`.")) + return _to_space_matrix(d[key], unitcell, key) end function tomlify(spec::CTMRGSpec) @@ -91,14 +80,14 @@ _matrix_tomlify(M::AbstractMatrix{<:ElementarySpace}) = function untomlify(::Type{CTMRGSpec}, d) unitcell = (Int(d["unitcell"][1]), Int(d["unitcell"][2])) - Pspaces = _resolve_matrix(d, unitcell, ("Pspaces", "Pspace"), (), "physical space") - Nspaces = _resolve_matrix(d, unitcell, ("Nspaces", "Dspace"), (), "north virtual space") - Espaces = _resolve_matrix(d, unitcell, ("Espaces", "Dspace"), ("Nspaces",), "east virtual space") + Pspaces = _get_matrix(d, "Pspaces", unitcell) + Nspaces = _get_matrix(d, "Nspaces", unitcell) + Espaces = _get_matrix(d, "Espaces", unitcell) - chi_north = _resolve_matrix(d, unitcell, ("chi_north", "chispace"), (), "north environment space") - chi_east = _resolve_matrix(d, unitcell, ("chi_east", "chispace"), ("chi_north",), "east environment space") - chi_south = _resolve_matrix(d, unitcell, ("chi_south", "chispace"), ("chi_north",), "south environment space") - chi_west = _resolve_matrix(d, unitcell, ("chi_west", "chispace"), ("chi_north",), "west environment space") + chi_north = _get_matrix(d, "chi_north", unitcell) + chi_east = _get_matrix(d, "chi_east", unitcell) + chi_south = _get_matrix(d, "chi_south", unitcell) + chi_west = _get_matrix(d, "chi_west", unitcell) return CTMRGSpec( unitcell, diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml index 7da664152..0e9f72656 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml +++ b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml @@ -1,44 +1,65 @@ [[Trivial]] unitcell = [1, 1] -Pspace = "ℂ^2" -Dspace = "ℂ^2" -chispace = "ℂ^8" +Pspaces = "ℂ^2" +Nspaces = "ℂ^2" +Espaces = "ℂ^2" +chi_north = "ℂ^8" +chi_east = "ℂ^8" +chi_south = "ℂ^8" +chi_west = "ℂ^8" [[Trivial]] unitcell = [2, 1] -Pspace = "ℂ^2" -Dspace = "ℂ^2" -chispace = "ℂ^8" +Pspaces = "ℂ^2" +Nspaces = "ℂ^2" +Espaces = "ℂ^2" +chi_north = "ℂ^8" +chi_east = "ℂ^8" +chi_south = "ℂ^8" +chi_west = "ℂ^8" [[Trivial]] unitcell = [2, 2] -Pspace = "ℂ^2" -Dspace = "ℂ^2" -chispace = "ℂ^8" +Pspaces = "ℂ^2" +Nspaces = "ℂ^2" +Espaces = "ℂ^2" +chi_north = "ℂ^8" +chi_east = "ℂ^8" +chi_south = "ℂ^8" +chi_west = "ℂ^8" -# Non-uniform spaces across the unit cell. Each entry mixes scalar (broadcast) -# and matrix (per-site) fields. See ctmrg_iteration_benchmarks.jl for the -# fallback resolution rules. +# Non-uniform spaces across the unit cell. Each entry may use either a scalar +# string (broadcast across the unit cell) or a 2D array of strings (per-site). # Mixed virtual bond dimensions across columns; environment uniform. [[NonUniform]] unitcell = [2, 2] -Pspace = "ℂ^2" +Pspaces = "ℂ^2" Nspaces = [["ℂ^2", "ℂ^3"], ["ℂ^2", "ℂ^3"]] -chispace = "ℂ^8" +Espaces = [["ℂ^2", "ℂ^3"], ["ℂ^2", "ℂ^3"]] +chi_north = "ℂ^8" +chi_east = "ℂ^8" +chi_south = "ℂ^8" +chi_west = "ℂ^8" -# Anisotropic environment: north/south chi differs from east/west chi. +# Anisotropic environment: only the east bond differs. [[NonUniform]] unitcell = [2, 2] -Pspace = "ℂ^2" -Dspace = "ℂ^2" +Pspaces = "ℂ^2" +Nspaces = "ℂ^2" +Espaces = "ℂ^2" chi_north = "ℂ^8" chi_east = "ℂ^12" +chi_south = "ℂ^8" +chi_west = "ℂ^8" # Fully heterogeneous 2x1: row-varying D and environment. [[NonUniform]] unitcell = [2, 1] -Pspace = "ℂ^2" +Pspaces = "ℂ^2" Nspaces = [["ℂ^2"], ["ℂ^3"]] Espaces = [["ℂ^2"], ["ℂ^3"]] chi_north = [["ℂ^8"], ["ℂ^12"]] +chi_east = [["ℂ^8"], ["ℂ^12"]] +chi_south = [["ℂ^8"], ["ℂ^12"]] +chi_west = [["ℂ^8"], ["ℂ^12"]] From 1ed709064154543607d93cff8debf908a9ad08de Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 15:16:21 -0400 Subject: [PATCH 6/8] add a readme --- benchmark/README.md | 127 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 127 insertions(+) create mode 100644 benchmark/README.md diff --git a/benchmark/README.md b/benchmark/README.md new file mode 100644 index 000000000..b3073dd06 --- /dev/null +++ b/benchmark/README.md @@ -0,0 +1,127 @@ +# PEPSKit benchmarks + +A [BenchmarkTools.jl](https://github.com/JuliaCI/BenchmarkTools.jl)-based suite that exercises +performance-critical paths in PEPSKit. The suite is organised into modules; the only module +currently registered is `ctmrg`, which times a single `ctmrg_iteration` across several CTMRG +algorithms, problem scenarios, and symmetry sectors. + +## Layout + +``` +bench/benchmark/ +├── benchmarks.jl # entry point: builds the top-level SUITE +├── Project.toml # benchmark environment (depends on local PEPSKit) +└── PEPSKitBenchmarks/ + ├── PEPSKitBenchmarks.jl # module registry (MODULES), load!, loadall! + ├── utils/BenchUtils.jl # TOML <-> VectorSpace conversion helpers + └── ctmrg/ + ├── CTMRGBenchmarks.jl # populates SUITE["ctmrg"] + ├── ctmrg_iteration_benchmarks.jl + ├── default.toml # Trivial + NonUniform scenarios + └── su3_hubbard.toml # SU(3) fermionic scenarios +``` + +New modules are registered in the `MODULES` dict in `PEPSKitBenchmarks.jl`. + +## Quickstart + +Run the full suite from the repository root: + +```sh +julia --project=bench/benchmark -e ' + using Pkg; Pkg.instantiate() + include("bench/benchmark/benchmarks.jl") + results = run(SUITE; verbose=true) +' +``` + +Default per-benchmark budget is 60 s, 5 samples, 1 evaluation (set in `PEPSKitBenchmarks.jl`). +The full suite — in particular the `su3_hubbard` scenarios — is heavy; expect it to run for a +long time. For development, prefer the selective runs below. + +## Selective runs + +### By module (CLI flag) + +`benchmarks.jl` accepts `--modules=[,…]` to load only specific groups: + +```sh +julia --project=bench/benchmark bench/benchmark/benchmarks.jl --modules=ctmrg +``` + +The script only populates `SUITE`; call `run(SUITE)` afterwards (e.g. from an interactive +session) to execute. Available IDs are the keys of `MODULES` in `PEPSKitBenchmarks.jl`. + +### By group key + +`SUITE` is a nested `BenchmarkGroup` indexed as: + +``` +module → scenario → algorithm → symmetry → benchname +``` + +- `scenario` is the TOML basename (`default`, `su3_hubbard`). +- `algorithm` is one of `SequentialCTMRG_HalfInfinite`, `SimultaneousCTMRG_HalfInfinite`. +- `symmetry` is the top-level table name in the TOML (`Trivial`, `NonUniform`, …). +- `benchname` is `"x_D_chi"`, where `Dmin` is the minimum virtual + bond dimension and `chimin` is the minimum environment dimension across the unit cell (see + `benchname` in `ctmrg/ctmrg_iteration_benchmarks.jl`). + +To run a single case interactively: + +```julia +include("bench/benchmark/benchmarks.jl") +run(SUITE["ctmrg"]["default"]["SimultaneousCTMRG_HalfInfinite"]["Trivial"]["1x1_D2_chi8"]) +``` + +## Extending the suite + +### Add a scenario + +Scenarios are TOML files in `PEPSKitBenchmarks/ctmrg/`, parsed into `CTMRGSpec` values. Each +top-level table name becomes a symmetry group. Every spec must set exactly these keys: +`unitcell`, `Pspaces`, `Nspaces`, `Espaces`, `chi_north`, `chi_east`, `chi_south`, +`chi_west`. A minimal uniform spec is: + +```toml +[[Trivial]] +unitcell = [2, 2] +Pspaces = "ℂ^2" +Nspaces = "ℂ^2" +Espaces = "ℂ^2" +chi_north = "ℂ^8" +chi_east = "ℂ^8" +chi_south = "ℂ^8" +chi_west = "ℂ^8" +``` + +Each value may be a scalar string (broadcast across the unit cell) or a `[rows][cols]` +array of space strings (per-site). See the `NonUniform` entries in `default.toml` for +worked examples mixing the two forms. + +To add a brand-new scenario file, drop it into `ctmrg/` and add it to the `allparams` `Dict` +in `CTMRGBenchmarks.jl`: + +```julia +const allparams = Dict( + "default" => TOML.parsefile(joinpath(@__DIR__, "default.toml")), + "su3_hubbard" => TOML.parsefile(joinpath(@__DIR__, "su3_hubbard.toml")), + "my_scenario" => TOML.parsefile(joinpath(@__DIR__, "my_scenario.toml")), +) +``` + +### Add a benchmark module + +1. Create `PEPSKitBenchmarks//Benchmarks.jl` defining a module with + `const SUITE = BenchmarkGroup()` and populate it. +2. `include(...)` the file from `PEPSKitBenchmarks.jl`. +3. Register the module in `MODULES`: + + ```julia + const MODULES = Dict{String, Symbol}( + "ctmrg" => :CTMRGBenchmarks, + "" => :Benchmarks, + ) + ``` + +The new module is then loadable via `--modules=` and addressable as `SUITE[""]`. From 4705ff9ff860968fc0e672fc1dbd94ff8f9c9f3a Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 17:08:06 -0400 Subject: [PATCH 7/8] more cleanup --- .../ctmrg/CTMRGBenchmarks.jl | 14 +-- .../ctmrg/ctmrg_iteration_benchmarks.jl | 43 +++++++-- .../PEPSKitBenchmarks/ctmrg/default.toml | 73 ++++++--------- .../PEPSKitBenchmarks/ctmrg/su3_hubbard.toml | 44 ++------- benchmark/Project.toml | 2 + benchmark/README.md | 69 +++++++++++--- benchmark/scripts/plot_ctmrg.jl | 92 +++++++++++++++++++ 7 files changed, 226 insertions(+), 111 deletions(-) create mode 100644 benchmark/scripts/plot_ctmrg.jl diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl index 6bad25eeb..fc98604fe 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl +++ b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl @@ -18,21 +18,21 @@ const allparams = Dict( "su3_hubbard" => TOML.parsefile(joinpath(@__DIR__, "su3_hubbard.toml")), ) -const CTMRG_ALGS = ( - "SequentialCTMRG_HalfInfinite" => SequentialCTMRG(; projector_alg = :HalfInfiniteProjector), - "SimultaneousCTMRG_HalfInfinite" => SimultaneousCTMRG(; projector_alg = :HalfInfiniteProjector), -) +const RESERVED_KEYS = ("unitcell", "algorithms") T = ComplexF64 for (scenario, params) in allparams + unitcell = (Int(params["unitcell"][1]), Int(params["unitcell"][2])) + algs = [untomlify(PEPSKit.CTMRGAlgorithm, a) for a in params["algorithms"]] g_scen = addgroup!(SUITE, scenario) - for (alg_name, alg) in CTMRG_ALGS - g_alg = addgroup!(g_scen, alg_name) + for alg in algs + g_alg = addgroup!(g_scen, algname(alg)) for (sym_name, specs) in params + sym_name in RESERVED_KEYS && continue g_sym = addgroup!(g_alg, sym_name) for spec_dict in specs - spec = untomlify(CTMRGSpec, spec_dict) + spec = untomlify(CTMRGSpec, spec_dict; unitcell) g_sym[benchname(spec)] = ctmrg_iteration_benchmark(spec, alg; T) end end diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl index f10cab4fd..0c2805c81 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl +++ b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl @@ -1,5 +1,4 @@ struct CTMRGSpec{S <: ElementarySpace} - unitcell::Tuple{Int, Int} Pspaces::Matrix{S} Nspaces::Matrix{S} Espaces::Matrix{S} @@ -9,16 +8,20 @@ struct CTMRGSpec{S <: ElementarySpace} chi_west::Matrix{S} end +unitcell(spec::CTMRGSpec) = size(spec.Pspaces) + function benchname(spec::CTMRGSpec) - rows, cols = spec.unitcell Dmin = min(minimum(dim, spec.Nspaces), minimum(dim, spec.Espaces)) chimin = min( minimum(dim, spec.chi_north), minimum(dim, spec.chi_east), minimum(dim, spec.chi_south), minimum(dim, spec.chi_west) ) - return "$(rows)x$(cols)_D$(Dmin)_chi$(chimin)" + return "D$(Dmin)_chi$(chimin)" end +algname(alg::PEPSKit.CTMRGAlgorithm) = + "$(typeof(alg).name.name)_$(typeof(alg.projector_alg).name.name)" + function setup_problem(spec::CTMRGSpec; T::Type = ComplexF64) peps = InfinitePEPS(randn, T, spec.Pspaces, spec.Nspaces, spec.Espaces) env = CTMRGEnv( @@ -63,7 +66,6 @@ end function tomlify(spec::CTMRGSpec) return Dict( - "unitcell" => collect(spec.unitcell), "Pspaces" => _matrix_tomlify(spec.Pspaces), "Nspaces" => _matrix_tomlify(spec.Nspaces), "Espaces" => _matrix_tomlify(spec.Espaces), @@ -77,9 +79,7 @@ end _matrix_tomlify(M::AbstractMatrix{<:ElementarySpace}) = [[tomlify(M[r, c]) for c in axes(M, 2)] for r in axes(M, 1)] -function untomlify(::Type{CTMRGSpec}, d) - unitcell = (Int(d["unitcell"][1]), Int(d["unitcell"][2])) - +function untomlify(::Type{CTMRGSpec}, d; unitcell::Tuple{Int, Int}) Pspaces = _get_matrix(d, "Pspaces", unitcell) Nspaces = _get_matrix(d, "Nspaces", unitcell) Espaces = _get_matrix(d, "Espaces", unitcell) @@ -90,8 +90,35 @@ function untomlify(::Type{CTMRGSpec}, d) chi_west = _get_matrix(d, "chi_west", unitcell) return CTMRGSpec( - unitcell, Pspaces, Nspaces, Espaces, chi_north, chi_east, chi_south, chi_west, ) end + +# One tomlify method per concrete CTMRG algorithm settings type. Each produces a +# uniform two-key Dict that round-trips via `untomlify(PEPSKit.CTMRGAlgorithm, d)`. + +function tomlify(alg::SequentialCTMRG) + return Dict( + "type" => "SequentialCTMRG", + "projector_alg" => string(typeof(alg.projector_alg).name.name), + ) +end + +function tomlify(alg::SimultaneousCTMRG) + return Dict( + "type" => "SimultaneousCTMRG", + "projector_alg" => string(typeof(alg.projector_alg).name.name), + ) +end + +function untomlify(::Type{<:PEPSKit.CTMRGAlgorithm}, d) + t = d["type"] + pa = Symbol(d["projector_alg"]) + if t == "SequentialCTMRG" + return SequentialCTMRG(; projector_alg = pa) + elseif t == "SimultaneousCTMRG" + return SimultaneousCTMRG(; projector_alg = pa) + end + throw(ArgumentError("Unknown CTMRG algorithm type: $(t)")) +end diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml index 0e9f72656..6a0c970ae 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/default.toml +++ b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml @@ -1,15 +1,10 @@ -[[Trivial]] unitcell = [1, 1] -Pspaces = "ℂ^2" -Nspaces = "ℂ^2" -Espaces = "ℂ^2" -chi_north = "ℂ^8" -chi_east = "ℂ^8" -chi_south = "ℂ^8" -chi_west = "ℂ^8" + +[[algorithms]] +type = "SimultaneousCTMRG" +projector_alg = "HalfInfiniteProjector" [[Trivial]] -unitcell = [2, 1] Pspaces = "ℂ^2" Nspaces = "ℂ^2" Espaces = "ℂ^2" @@ -19,47 +14,37 @@ chi_south = "ℂ^8" chi_west = "ℂ^8" [[Trivial]] -unitcell = [2, 2] Pspaces = "ℂ^2" Nspaces = "ℂ^2" Espaces = "ℂ^2" -chi_north = "ℂ^8" -chi_east = "ℂ^8" -chi_south = "ℂ^8" -chi_west = "ℂ^8" - -# Non-uniform spaces across the unit cell. Each entry may use either a scalar -# string (broadcast across the unit cell) or a 2D array of strings (per-site). +chi_north = "ℂ^12" +chi_east = "ℂ^12" +chi_south = "ℂ^12" +chi_west = "ℂ^12" -# Mixed virtual bond dimensions across columns; environment uniform. -[[NonUniform]] -unitcell = [2, 2] +[[Trivial]] Pspaces = "ℂ^2" -Nspaces = [["ℂ^2", "ℂ^3"], ["ℂ^2", "ℂ^3"]] -Espaces = [["ℂ^2", "ℂ^3"], ["ℂ^2", "ℂ^3"]] -chi_north = "ℂ^8" -chi_east = "ℂ^8" -chi_south = "ℂ^8" -chi_west = "ℂ^8" +Nspaces = "ℂ^3" +Espaces = "ℂ^3" +chi_north = "ℂ^12" +chi_east = "ℂ^12" +chi_south = "ℂ^12" +chi_west = "ℂ^12" -# Anisotropic environment: only the east bond differs. -[[NonUniform]] -unitcell = [2, 2] +[[Trivial]] Pspaces = "ℂ^2" -Nspaces = "ℂ^2" -Espaces = "ℂ^2" -chi_north = "ℂ^8" -chi_east = "ℂ^12" -chi_south = "ℂ^8" -chi_west = "ℂ^8" +Nspaces = "ℂ^3" +Espaces = "ℂ^3" +chi_north = "ℂ^18" +chi_east = "ℂ^18" +chi_south = "ℂ^18" +chi_west = "ℂ^18" -# Fully heterogeneous 2x1: row-varying D and environment. -[[NonUniform]] -unitcell = [2, 1] +[[Trivial]] Pspaces = "ℂ^2" -Nspaces = [["ℂ^2"], ["ℂ^3"]] -Espaces = [["ℂ^2"], ["ℂ^3"]] -chi_north = [["ℂ^8"], ["ℂ^12"]] -chi_east = [["ℂ^8"], ["ℂ^12"]] -chi_south = [["ℂ^8"], ["ℂ^12"]] -chi_west = [["ℂ^8"], ["ℂ^12"]] +Nspaces = "ℂ^4" +Espaces = "ℂ^4" +chi_north = "ℂ^16" +chi_east = "ℂ^16" +chi_south = "ℂ^16" +chi_west = "ℂ^16" diff --git a/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml b/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml index a976ed60c..41774380c 100644 --- a/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml +++ b/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml @@ -1,3 +1,9 @@ +unitcell = [3, 3] + +[[algorithms]] +type = "SimultaneousCTMRG" +projector_alg = "HalfInfiniteProjector" + [[f]] Espaces = [["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)"]] Nspaces = [["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)", "Vect[FermionParity](0 => 1, 1 => 3)"]] @@ -6,7 +12,6 @@ chi_east = [["Vect[FermionParity](0 => 20, 1 => 12)", "Vect[FermionParity](0 => chi_north = [["Vect[FermionParity](0 => 19, 1 => 15)", "Vect[FermionParity](0 => 12, 1 => 18)", "Vect[FermionParity](0 => 23, 1 => 12)"], ["Vect[FermionParity](0 => 20, 1 => 12)", "Vect[FermionParity](0 => 20, 1 => 15)", "Vect[FermionParity](0 => 19, 1 => 12)"], ["Vect[FermionParity](0 => 18, 1 => 12)", "Vect[FermionParity](0 => 18, 1 => 12)", "Vect[FermionParity](0 => 19, 1 => 15)"]] chi_south = [["Vect[FermionParity](0 => 20, 1 => 15)", "Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 12, 1 => 24)"], ["Vect[FermionParity](0 => 20, 1 => 12)", "Vect[FermionParity](0 => 11, 1 => 18)", "Vect[FermionParity](0 => 24, 1 => 12)"], ["Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 19, 1 => 12)", "Vect[FermionParity](0 => 22, 1 => 12)"]] chi_west = [["Vect[FermionParity](0 => 22, 1 => 12)", "Vect[FermionParity](0 => 12, 1 => 24)", "Vect[FermionParity](0 => 17, 1 => 12)"], ["Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 18, 1 => 18)", "Vect[FermionParity](0 => 20, 1 => 15)"], ["Vect[FermionParity](0 => 19, 1 => 12)", "Vect[FermionParity](0 => 12, 1 => 18)", "Vect[FermionParity](0 => 18, 1 => 18)"]] -unitcell = [3, 3] [[f]] Espaces = [["Vect[FermionParity](0 => 3, 1 => 2)", "Vect[FermionParity](0 => 3, 1 => 2)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 4, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 4)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 4, 1 => 3)", "Vect[FermionParity](0 => 4, 1 => 3)"]] Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 3, 1 => 1)"], ["Vect[FermionParity](0 => 1, 1 => 6)", "Vect[FermionParity](0 => 1, 1 => 3)", "Vect[FermionParity](0 => 4, 1 => 3)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 4, 1 => 3)", "Vect[FermionParity](0 => 3, 1 => 4)"]] @@ -15,7 +20,6 @@ chi_east = [["Vect[FermionParity](0 => 18, 1 => 30)", "Vect[FermionParity](0 => chi_north = [["Vect[FermionParity](0 => 21, 1 => 24)", "Vect[FermionParity](0 => 23, 1 => 24)", "Vect[FermionParity](0 => 37, 1 => 12)"], ["Vect[FermionParity](0 => 24, 1 => 24)", "Vect[FermionParity](0 => 26, 1 => 21)", "Vect[FermionParity](0 => 12, 1 => 36)"], ["Vect[FermionParity](0 => 31, 1 => 18)", "Vect[FermionParity](0 => 27, 1 => 18)", "Vect[FermionParity](0 => 19, 1 => 30)"]] chi_south = [["Vect[FermionParity](0 => 31, 1 => 18)", "Vect[FermionParity](0 => 27, 1 => 18)", "Vect[FermionParity](0 => 13, 1 => 33)"], ["Vect[FermionParity](0 => 25, 1 => 24)", "Vect[FermionParity](0 => 30, 1 => 18)", "Vect[FermionParity](0 => 27, 1 => 18)"], ["Vect[FermionParity](0 => 24, 1 => 24)", "Vect[FermionParity](0 => 33, 1 => 12)", "Vect[FermionParity](0 => 18, 1 => 24)"]] chi_west = [["Vect[FermionParity](0 => 19, 1 => 24)", "Vect[FermionParity](0 => 31, 1 => 18)", "Vect[FermionParity](0 => 19, 1 => 30)"], ["Vect[FermionParity](0 => 21, 1 => 24)", "Vect[FermionParity](0 => 27, 1 => 18)", "Vect[FermionParity](0 => 25, 1 => 24)"], ["Vect[FermionParity](0 => 24, 1 => 24)", "Vect[FermionParity](0 => 25, 1 => 24)", "Vect[FermionParity](0 => 19, 1 => 30)"]] -unitcell = [3, 3] [[f]] Espaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] @@ -24,7 +28,6 @@ chi_east = [["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => chi_north = [["Vect[FermionParity](0 => 39, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)"], ["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 18)"], ["Vect[FermionParity](0 => 45, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)"]] chi_south = [["Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)"], ["Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 39, 1 => 24)"], ["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 46, 1 => 18)"]] chi_west = [["Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)"], ["Vect[FermionParity](0 => 28, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 24)"], ["Vect[FermionParity](0 => 46, 1 => 18)", "Vect[FermionParity](0 => 39, 1 => 24)", "Vect[FermionParity](0 => 28, 1 => 36)"]] -unitcell = [3, 3] [[f]] Espaces = [["Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"]] Nspaces = [["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)"]] @@ -33,7 +36,6 @@ chi_east = [["Vect[FermionParity](0 => 53, 1 => 24)", "Vect[FermionParity](0 => chi_north = [["Vect[FermionParity](0 => 44, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 30)", "Vect[FermionParity](0 => 53, 1 => 24)"], ["Vect[FermionParity](0 => 46, 1 => 30)", "Vect[FermionParity](0 => 55, 1 => 24)", "Vect[FermionParity](0 => 44, 1 => 36)"], ["Vect[FermionParity](0 => 53, 1 => 24)", "Vect[FermionParity](0 => 44, 1 => 36)", "Vect[FermionParity](0 => 46, 1 => 30)"]] chi_south = [["Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 36, 1 => 42)", "Vect[FermionParity](0 => 51, 1 => 30)"], ["Vect[FermionParity](0 => 38, 1 => 42)", "Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 54, 1 => 24)"], ["Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 38, 1 => 42)"]] chi_west = [["Vect[FermionParity](0 => 38, 1 => 42)", "Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 51, 1 => 30)"], ["Vect[FermionParity](0 => 54, 1 => 24)", "Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 38, 1 => 42)"], ["Vect[FermionParity](0 => 51, 1 => 30)", "Vect[FermionParity](0 => 36, 1 => 42)", "Vect[FermionParity](0 => 54, 1 => 24)"]] -unitcell = [3, 3] [[f]] Espaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 7, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 3)"]] @@ -42,7 +44,6 @@ chi_east = [["Vect[FermionParity](0 => 50, 1 => 48)", "Vect[FermionParity](0 => chi_north = [["Vect[FermionParity](0 => 71, 1 => 27)", "Vect[FermionParity](0 => 64, 1 => 36)", "Vect[FermionParity](0 => 65, 1 => 30)"], ["Vect[FermionParity](0 => 64, 1 => 36)", "Vect[FermionParity](0 => 54, 1 => 42)", "Vect[FermionParity](0 => 70, 1 => 30)"], ["Vect[FermionParity](0 => 55, 1 => 42)", "Vect[FermionParity](0 => 70, 1 => 30)", "Vect[FermionParity](0 => 64, 1 => 36)"]] chi_south = [["Vect[FermionParity](0 => 68, 1 => 30)", "Vect[FermionParity](0 => 55, 1 => 42)", "Vect[FermionParity](0 => 58, 1 => 42)"], ["Vect[FermionParity](0 => 64, 1 => 36)", "Vect[FermionParity](0 => 50, 1 => 48)", "Vect[FermionParity](0 => 66, 1 => 30)"], ["Vect[FermionParity](0 => 57, 1 => 42)", "Vect[FermionParity](0 => 68, 1 => 30)", "Vect[FermionParity](0 => 63, 1 => 36)"]] chi_west = [["Vect[FermionParity](0 => 56, 1 => 42)", "Vect[FermionParity](0 => 54, 1 => 45)", "Vect[FermionParity](0 => 64, 1 => 36)"], ["Vect[FermionParity](0 => 50, 1 => 48)", "Vect[FermionParity](0 => 63, 1 => 36)", "Vect[FermionParity](0 => 70, 1 => 30)"], ["Vect[FermionParity](0 => 63, 1 => 36)", "Vect[FermionParity](0 => 68, 1 => 30)", "Vect[FermionParity](0 => 57, 1 => 42)"]] -unitcell = [3, 3] [[f]] Espaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 8, 1 => 3)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 8, 1 => 3)"]] Nspaces = [["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 5, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 7, 1 => 4)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)"], ["Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 6, 1 => 1)", "Vect[FermionParity](0 => 8, 1 => 3)"]] @@ -51,7 +52,6 @@ chi_east = [["Vect[FermionParity](0 => 64, 1 => 54)", "Vect[FermionParity](0 => chi_north = [["Vect[FermionParity](0 => 86, 1 => 30)", "Vect[FermionParity](0 => 73, 1 => 48)", "Vect[FermionParity](0 => 82, 1 => 36)"], ["Vect[FermionParity](0 => 77, 1 => 44)", "Vect[FermionParity](0 => 78, 1 => 42)", "Vect[FermionParity](0 => 91, 1 => 30)"], ["Vect[FermionParity](0 => 78, 1 => 42)", "Vect[FermionParity](0 => 84, 1 => 30)", "Vect[FermionParity](0 => 72, 1 => 42)"]] chi_south = [["Vect[FermionParity](0 => 88, 1 => 30)", "Vect[FermionParity](0 => 78, 1 => 42)", "Vect[FermionParity](0 => 60, 1 => 60)"], ["Vect[FermionParity](0 => 71, 1 => 48)", "Vect[FermionParity](0 => 59, 1 => 62)", "Vect[FermionParity](0 => 79, 1 => 42)"], ["Vect[FermionParity](0 => 59, 1 => 60)", "Vect[FermionParity](0 => 76, 1 => 45)", "Vect[FermionParity](0 => 73, 1 => 48)"]] chi_west = [["Vect[FermionParity](0 => 69, 1 => 48)", "Vect[FermionParity](0 => 60, 1 => 60)", "Vect[FermionParity](0 => 80, 1 => 36)"], ["Vect[FermionParity](0 => 59, 1 => 62)", "Vect[FermionParity](0 => 71, 1 => 48)", "Vect[FermionParity](0 => 84, 1 => 36)"], ["Vect[FermionParity](0 => 63, 1 => 56)", "Vect[FermionParity](0 => 76, 1 => 45)", "Vect[FermionParity](0 => 60, 1 => 60)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] @@ -61,7 +61,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, -2, 0, -2) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 3, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, 1, 1/2, 1) => 1, (1, -1, 1/2, -1) => 1, (1, 1, 0, -2) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (1, -1, 1/2, 1) => 1, (1, -1, 0, -2) => 1)"]] @@ -70,7 +69,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (1, 1, 1/2, 1) => 4, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, 1, 1, 4) => 1, (1, 1, 1/2, -5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 1, 2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (1, -1, 1, 2) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] @@ -79,7 +77,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -88,7 +85,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] @@ -97,7 +93,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 4, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] @@ -106,7 +101,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 3, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 3, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 2, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -115,7 +109,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -124,7 +117,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 4, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_SU2_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -133,7 +125,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 5, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 5, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, 3/2, 1) => 1, (1, -1, 1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, -1, 3/2, -1) => 1, (0, 0, 1/2, -3) => 5, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 3, (0, -2, 0, -2) => 4, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, 2, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₂] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (1, -3, 0, 0) => 1, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, 2, 1, 2) => 2, (0, -2, 0, -2) => 5, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"]] @@ -143,7 +134,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, 1, (1, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 1, (1, -1, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (1, -1, (1, 0, 0)) => 1)"]] @@ -152,7 +142,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 1, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (3, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 2, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 3, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (1, 1, (2, 2, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] @@ -161,7 +150,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 4, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 3, (1, -1, (1, 1, 0)) => 3, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] @@ -170,7 +158,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 5, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 2, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"]] @@ -179,7 +166,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 4, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 1, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 6, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"]] @@ -188,7 +174,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 7, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 3, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 8, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 2, (0, -2, (1, 0, 0)) => 2, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 4, (1, -1, (1, 1, 0)) => 4, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, -1, (0, 0, 0)) => 2, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2, (0, -2, (1, 1, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] @@ -197,7 +182,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 5, (1, -1, (1, 1, 0)) => 5, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 9, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 2, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] @@ -206,7 +190,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 6, (1, -1, (1, 1, 0)) => 6, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 4, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 3, (0, -2, (1, 0, 0)) => 3, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_SU3]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 2, (1, -1, (1, 1, 0)) => 1, (0, -2, (1, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, -2, (1, 1, 0)) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (1, -1, (0, 0, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 0, 0)) => 2, (1, 1, (1, 1, 0)) => 1, (0, 2, (0, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (1, 1, 0)) => 1, (1, 1, (0, 0, 0)) => 1, (0, 2, (1, 0, 0)) => 1)"]] @@ -215,7 +198,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 10, (1, -1, (1, 1, 0)) => 10, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 10, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 11, (1, -1, (1, 1, 0)) => 11, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 11, (1, -1, (1, 1, 0)) => 11, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 13, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 3, (0, -2, (2, 2, 0)) => 1, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, 3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, 3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, 3, (0, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 11, (0, 0, (2, 1, 0)) => 5, (1, 1, (1, 0, 0)) => 7, (1, -1, (1, 1, 0)) => 7, (1, 1, (2, 2, 0)) => 1, (0, 2, (1, 1, 0)) => 4, (0, -2, (1, 0, 0)) => 4, (1, -1, (2, 0, 0)) => 1, (0, -2, (2, 2, 0)) => 3, (0, 2, (2, 0, 0)) => 3, (1, 1, (3, 1, 0)) => 1, (1, -1, (3, 2, 0)) => 1, (1, -3, (0, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 14, (0, 0, (2, 1, 0)) => 7, (1, 1, (1, 0, 0)) => 8, (1, -1, (1, 1, 0)) => 8, (1, 1, (2, 2, 0)) => 3, (0, 2, (1, 1, 0)) => 6, (0, -2, (1, 0, 0)) => 6, (1, -1, (2, 0, 0)) => 3, (0, 2, (2, 0, 0)) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[SU₃])]((0, 0, (0, 0, 0)) => 12, (0, 0, (2, 1, 0)) => 6, (1, 1, (1, 0, 0)) => 9, (1, -1, (1, 1, 0)) => 9, (1, 1, (2, 2, 0)) => 2, (0, 2, (1, 1, 0)) => 5, (0, -2, (1, 0, 0)) => 5, (1, -1, (2, 0, 0)) => 2, (0, -2, (2, 2, 0)) => 2, (0, 2, (2, 0, 0)) => 2, (1, 3, (0, 0, 0)) => 1, (1, -3, (0, 0, 0)) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 2, 0, 0) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] @@ -225,7 +207,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, -2, 0, -2) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 4, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 5, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 1, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, 1, 1/2, 1) => 1, (1, 1, -1/2, 1) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, 1, 0, -2) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 1, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (1, -1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (1, -1, 1/2, 1) => 1, (1, -1, -1/2, 1) => 1, (1, -1, 0, -2) => 1)"]] @@ -234,7 +215,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 8, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 0, -1/2, -3) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 1, (0, 0, -1, 0) => 1, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 1, (1, 1, 0, -2) => 5, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 1, (0, 0, -1/2, 3) => 1, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 1, (1, 1, 1, -2) => 1, (1, 1, -1, -2) => 1, (1, 1, 0, 4) => 1, (1, 1, 1, 4) => 1, (1, 1, -1, 4) => 1, (1, 1, 1/2, -5) => 1, (1, 1, -1/2, -5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, -1, -1, 2) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 2, (1, 1, -1/2, 1) => 2, (1, -1, 1/2, -1) => 2, (1, -1, -1/2, -1) => 2, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 2, (1, -1, 0, 2) => 2, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, -1, 1, 2) => 1, (1, -1, -1, 2) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 6, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 7, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 0, -1/2, -3) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"]] @@ -243,7 +223,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 3, (1, 1, -1/2, 1) => 3, (1, -1, 1/2, -1) => 3, (1, -1, -1/2, -1) => 3, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 3, (1, -1, 0, 2) => 3, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 9, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -252,7 +231,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 11, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 10, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 2, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 1, (0, -2, -1/2, 1) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 1, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 1, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 2, (0, 0, -1, 0) => 2, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 2, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 2, (0, 0, -1/2, 3) => 2, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 2, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 4, (1, 1, -1/2, 1) => 4, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 4, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 1, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 1, (0, -2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] @@ -261,7 +239,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 4, (1, -1, -1/2, -1) => 4, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 4, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 13, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 12, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 2, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 2, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 2, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 14, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 2, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 2, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 2, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (1, 1, 0, 4) => 1, (1, -1, 0, -4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 1, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 1, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"]] @@ -270,7 +247,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (0, -2, 0, -2) => 4, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 5, (1, 1, -1/2, 1) => 5, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 5, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 6, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (0, -2, -1, -2) => 3, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 19, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 5, (1, -1, -1/2, -1) => 5, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 5, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (1, 1, 0, 4) => 2, (1, -1, 0, -4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 15, (0, 0, 1, 0) => 3, (0, 0, -1, 0) => 3, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 3, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 3, (0, 0, -1/2, 3) => 3, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 3, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 16, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 6, (1, 1, -1/2, 1) => 6, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 6, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 2, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -279,7 +255,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 6, (1, -1, -1/2, -1) => 6, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 6, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 23, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 6, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 17, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 7, (1, 1, -1/2, 1) => 7, (1, -1, 1/2, -1) => 7, (1, -1, -1/2, -1) => 7, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 7, (1, -1, 0, 2) => 7, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 20, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 3, (0, -2, 1/2, 1) => 3, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 3, (0, -2, -1/2, 1) => 3, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 3, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 3, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 2, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -288,7 +263,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (0, -2, 0, -2) => 5, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (0, -2, -1, -2) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 8, (1, 1, -1/2, 1) => 8, (1, -1, 1/2, -1) => 8, (1, -1, -1/2, -1) => 8, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 8, (1, -1, 0, 2) => 8, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 9, (1, 1, -1/2, 1) => 9, (1, -1, 1/2, -1) => 9, (1, -1, -1/2, -1) => 9, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 9, (1, -1, 0, 2) => 9, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 4, (0, -2, 1/2, 1) => 4, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 4, (0, -2, -1/2, 1) => 4, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 4, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 4, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 18, (0, 0, 1, 0) => 4, (0, 0, -1, 0) => 4, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 4, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 4, (0, 0, -1/2, 3) => 4, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 4, (0, 2, 0, 2) => 5, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 22, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 5, (0, -2, 1/2, 1) => 5, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 5, (0, -2, -1/2, 1) => 5, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 5, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 5, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)"]] -unitcell = [3, 3] [[f_U1_U1_U1]] Espaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 2, (1, -1, 1/2, -1) => 1, (1, -1, -1/2, -1) => 1, (0, -2, 1/2, 1) => 2, (1, -1, 0, 2) => 1, (0, -2, -1/2, 1) => 2, (0, -2, 0, -2) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 1, (0, 0, -1/2, 1) => 1, (1, -1, 0, 0) => 1, (0, 0, 0, -2) => 1, (0, -2, 1/2, -1) => 1, (0, -2, -1/2, -1) => 1, (0, -2, 0, 2) => 1)"]] Nspaces = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (1, -1, 0, 0) => 1, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 1/2, 1) => 2, (0, 0, -1/2, 1) => 2, (0, 2, 0, 0) => 2, (0, 0, 0, -2) => 2, (1, 1, 1/2, -1) => 1, (1, 1, -1/2, -1) => 1, (1, 1, 0, 2) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((1, 1, 0, 0) => 1, (0, 0, 1/2, -1) => 1, (0, 0, -1/2, -1) => 1, (0, 0, 0, 2) => 1, (0, 2, 1/2, 1) => 1, (0, 2, -1/2, 1) => 1, (0, 2, 0, -2) => 1)"]] @@ -297,7 +271,6 @@ chi_east = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁ chi_north = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 7, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, 1, -1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (1, -1, -1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 12, (1, -1, 0, 2) => 12, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 12, (1, 1, -1/2, 1) => 12, (1, -1, 1/2, -1) => 12, (1, -1, -1/2, -1) => 12, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 12, (1, -1, 0, 2) => 12, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 1, (1, -1, 1, 2) => 1, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 1, (1, -1, -1, 2) => 1, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 1, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 1, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 27, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 25, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] chi_south = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (0, -2, 1, -2) => 1, (1, 1, 0, 4) => 3, (0, -2, -1, -2) => 1, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1, (0, -2, 0, 4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"]] chi_west = [["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 26, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 6, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 6, (0, -2, -1/2, 1) => 6, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 6, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)"], ["Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 21, (0, 0, 1, 0) => 5, (0, 0, -1, 0) => 5, (1, 1, 1/2, 1) => 10, (1, 1, -1/2, 1) => 10, (1, -1, 1/2, -1) => 10, (1, -1, -1/2, -1) => 10, (0, 0, 1/2, 3) => 5, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 10, (1, 1, 3/2, 1) => 1, (1, -1, 0, 2) => 10, (0, 0, 1/2, -3) => 5, (0, 0, -1/2, 3) => 5, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, 1, -3/2, 1) => 1, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 5, (0, 2, 0, 2) => 7, (1, -1, 3/2, -1) => 1, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (1, -1, -3/2, -1) => 1, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 3, (0, 2, -1, 2) => 3, (0, -2, 1, -2) => 3, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 3, (1, -1, 0, -4) => 2, (1, 1, 1, 4) => 1, (0, 2, 0, -4) => 3, (0, -2, 0, 4) => 3, (1, 1, -1, 4) => 1, (1, -1, 1, -4) => 1, (1, 1, 1/2, -5) => 1, (1, -1, 1/2, 5) => 1, (1, -1, -1, -4) => 1, (1, 1, -1/2, -5) => 1, (1, -1, -1/2, 5) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 28, (0, 0, 1, 0) => 7, (0, 0, -1, 0) => 7, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 7, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 6, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (0, 0, 1/2, -3) => 7, (0, 0, -1/2, 3) => 7, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 6, (0, 0, -1/2, -3) => 7, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 3, (1, -1, 1, 2) => 3, (0, -2, 0, -2) => 6, (1, 1, -1, -2) => 3, (1, -1, -1, 2) => 3, (0, 2, 1, 2) => 1, (0, 2, -1, 2) => 1, (1, 1, 0, 4) => 3, (1, -1, 0, -4) => 3, (0, 2, 0, -4) => 1)", "Vect[(FermionParity ⊠ Irrep[U₁] ⊠ Irrep[U₁] ⊠ Irrep[U₁])]((0, 0, 0, 0) => 24, (0, 0, 1, 0) => 6, (0, 0, -1, 0) => 6, (1, 1, 1/2, 1) => 11, (1, 1, -1/2, 1) => 11, (1, -1, 1/2, -1) => 11, (1, -1, -1/2, -1) => 11, (0, 0, 1/2, 3) => 6, (0, 2, 1/2, -1) => 7, (0, -2, 1/2, 1) => 7, (1, 1, 0, -2) => 11, (1, -1, 0, 2) => 11, (1, 3, 0, 0) => 1, (0, 0, 1/2, -3) => 6, (0, 0, -1/2, 3) => 6, (0, 2, -1/2, -1) => 7, (0, -2, -1/2, 1) => 7, (1, -3, 0, 0) => 1, (0, 0, -1/2, -3) => 6, (0, 2, 0, 2) => 7, (1, 1, 1, -2) => 2, (1, -1, 1, 2) => 2, (0, -2, 0, -2) => 7, (1, 1, -1, -2) => 2, (1, -1, -1, 2) => 2, (0, 2, 1, 2) => 2, (0, 2, -1, 2) => 2, (0, -2, 1, -2) => 2, (1, 1, 0, 4) => 2, (0, -2, -1, -2) => 2, (1, -1, 0, -4) => 2, (0, 2, 0, -4) => 2, (0, -2, 0, 4) => 2)"]] -unitcell = [3, 3] [[trivial]] Espaces = [["ℂ^4", "ℂ^4", "ℂ^4"], ["ℂ^4", "ℂ^4", "ℂ^4"], ["ℂ^4", "ℂ^4", "ℂ^4"]] @@ -307,7 +280,6 @@ chi_east = [["ℂ^32", "ℂ^31", "ℂ^36"], ["ℂ^31", "ℂ^35", "ℂ^35"], [" chi_north = [["ℂ^34", "ℂ^30", "ℂ^35"], ["ℂ^32", "ℂ^35", "ℂ^31"], ["ℂ^30", "ℂ^30", "ℂ^34"]] chi_south = [["ℂ^35", "ℂ^36", "ℂ^36"], ["ℂ^32", "ℂ^29", "ℂ^36"], ["ℂ^36", "ℂ^31", "ℂ^34"]] chi_west = [["ℂ^34", "ℂ^36", "ℂ^29"], ["ℂ^36", "ℂ^36", "ℂ^35"], ["ℂ^31", "ℂ^30", "ℂ^36"]] -unitcell = [3, 3] [[trivial]] Espaces = [["ℂ^5", "ℂ^5", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^7"]] Nspaces = [["ℂ^7", "ℂ^7", "ℂ^4"], ["ℂ^7", "ℂ^4", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^7"]] @@ -316,7 +288,6 @@ chi_east = [["ℂ^48", "ℂ^43", "ℂ^45"], ["ℂ^49", "ℂ^49", "ℂ^49"], [" chi_north = [["ℂ^45", "ℂ^47", "ℂ^49"], ["ℂ^48", "ℂ^47", "ℂ^48"], ["ℂ^49", "ℂ^45", "ℂ^49"]] chi_south = [["ℂ^49", "ℂ^45", "ℂ^46"], ["ℂ^49", "ℂ^48", "ℂ^45"], ["ℂ^48", "ℂ^45", "ℂ^42"]] chi_west = [["ℂ^43", "ℂ^49", "ℂ^49"], ["ℂ^45", "ℂ^45", "ℂ^49"], ["ℂ^48", "ℂ^49", "ℂ^49"]] -unitcell = [3, 3] [[trivial]] Espaces = [["ℂ^7", "ℂ^8", "ℂ^7"], ["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] Nspaces = [["ℂ^7", "ℂ^8", "ℂ^7"], ["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] @@ -325,7 +296,6 @@ chi_east = [["ℂ^64", "ℂ^57", "ℂ^64"], ["ℂ^57", "ℂ^64", "ℂ^64"], [" chi_north = [["ℂ^57", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^57"], ["ℂ^63", "ℂ^57", "ℂ^64"]] chi_south = [["ℂ^63", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^63"], ["ℂ^64", "ℂ^63", "ℂ^64"]] chi_west = [["ℂ^63", "ℂ^64", "ℂ^64"], ["ℂ^64", "ℂ^64", "ℂ^63"], ["ℂ^64", "ℂ^63", "ℂ^64"]] -unitcell = [3, 3] [[trivial]] Espaces = [["ℂ^9", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"], ["ℂ^7", "ℂ^8", "ℂ^7"]] Nspaces = [["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"], ["ℂ^7", "ℂ^9", "ℂ^7"]] @@ -334,7 +304,6 @@ chi_east = [["ℂ^77", "ℂ^76", "ℂ^80"], ["ℂ^81", "ℂ^80", "ℂ^79"], [" chi_north = [["ℂ^80", "ℂ^76", "ℂ^77"], ["ℂ^76", "ℂ^79", "ℂ^80"], ["ℂ^77", "ℂ^80", "ℂ^76"]] chi_south = [["ℂ^78", "ℂ^78", "ℂ^81"], ["ℂ^80", "ℂ^81", "ℂ^78"], ["ℂ^81", "ℂ^78", "ℂ^80"]] chi_west = [["ℂ^80", "ℂ^78", "ℂ^81"], ["ℂ^78", "ℂ^81", "ℂ^80"], ["ℂ^81", "ℂ^78", "ℂ^78"]] -unitcell = [3, 3] [[trivial]] Espaces = [["ℂ^7", "ℂ^8", "ℂ^7"], ["ℂ^8", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] Nspaces = [["ℂ^7", "ℂ^9", "ℂ^7"], ["ℂ^10", "ℂ^7", "ℂ^7"], ["ℂ^7", "ℂ^7", "ℂ^8"]] @@ -343,4 +312,3 @@ chi_east = [["ℂ^98", "ℂ^100", "ℂ^98"], ["ℂ^100", "ℂ^96", "ℂ^100"], [ chi_north = [["ℂ^98", "ℂ^100", "ℂ^95"], ["ℂ^100", "ℂ^96", "ℂ^100"], ["ℂ^97", "ℂ^100", "ℂ^100"]] chi_south = [["ℂ^98", "ℂ^97", "ℂ^100"], ["ℂ^100", "ℂ^98", "ℂ^96"], ["ℂ^99", "ℂ^98", "ℂ^99"]] chi_west = [["ℂ^98", "ℂ^99", "ℂ^100"], ["ℂ^98", "ℂ^99", "ℂ^100"], ["ℂ^99", "ℂ^98", "ℂ^99"]] -unitcell = [3, 3] diff --git a/benchmark/Project.toml b/benchmark/Project.toml index bdc9c5bba..c9e3c3345 100644 --- a/benchmark/Project.toml +++ b/benchmark/Project.toml @@ -2,7 +2,9 @@ name = "PEPSKitBenchmarks" [deps] BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" +CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" PEPSKit = "52969e89-939e-4361-9b68-9bc7cde4bdeb" +Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" SUNRepresentations = "1a50b95c-7aac-476d-a9ce-2bfc675fc617" TOML = "fa267f1f-6049-4f14-aa54-33bafae1ed76" TensorKit = "07d1fe3e-3e46-537d-9eac-e9e13d0d4cec" diff --git a/benchmark/README.md b/benchmark/README.md index b3073dd06..9a9290c4a 100644 --- a/benchmark/README.md +++ b/benchmark/README.md @@ -11,6 +11,8 @@ algorithms, problem scenarios, and symmetry sectors. bench/benchmark/ ├── benchmarks.jl # entry point: builds the top-level SUITE ├── Project.toml # benchmark environment (depends on local PEPSKit) +├── scripts/ +│ └── plot_ctmrg.jl # CairoMakie plotting: one PNG per scenario └── PEPSKitBenchmarks/ ├── PEPSKitBenchmarks.jl # module registry (MODULES), load!, loadall! ├── utils/BenchUtils.jl # TOML <-> VectorSpace conversion helpers @@ -60,32 +62,70 @@ session) to execute. Available IDs are the keys of `MODULES` in `PEPSKitBenchmar module → scenario → algorithm → symmetry → benchname ``` -- `scenario` is the TOML basename (`default`, `su3_hubbard`). -- `algorithm` is one of `SequentialCTMRG_HalfInfinite`, `SimultaneousCTMRG_HalfInfinite`. -- `symmetry` is the top-level table name in the TOML (`Trivial`, `NonUniform`, …). -- `benchname` is `"x_D_chi"`, where `Dmin` is the minimum virtual - bond dimension and `chimin` is the minimum environment dimension across the unit cell (see +- `scenario` is the TOML basename (`default`, `su3_hubbard`). The unit cell and the + algorithm list are scenario-level (top of the TOML); every spec in a scenario shares + them. +- `algorithm` is `"_"`, derived from the algorithm's concrete + Julia types — e.g. `"SimultaneousCTMRG_HalfInfiniteProjector"`. +- `symmetry` is the top-level table name in the TOML (`Trivial`, `NonUniform`, `f`, …). +- `benchname` is `"D_chi"`, where `Dmin` is the minimum virtual bond + dimension and `chimin` is the minimum environment dimension across the unit cell (see `benchname` in `ctmrg/ctmrg_iteration_benchmarks.jl`). To run a single case interactively: ```julia include("bench/benchmark/benchmarks.jl") -run(SUITE["ctmrg"]["default"]["SimultaneousCTMRG_HalfInfinite"]["Trivial"]["1x1_D2_chi8"]) +run(SUITE["ctmrg"]["default"]["SimultaneousCTMRG_HalfInfiniteProjector"]["Trivial"]["D2_chi8"]) +``` + +## Plotting results + +Save the trial output from `run(SUITE)` to JSON and feed it to the plotting script under +`scripts/`. The script uses [CairoMakie](https://docs.makie.org/) and shares the benchmark +project env. + +```julia +# in the same session as the benchmark run +using BenchmarkTools +BenchmarkTools.save("bench/benchmark/data/results.json", results) +``` + +```sh +julia --project=bench/benchmark bench/benchmark/scripts/plot_ctmrg.jl +``` + +`plot_ctmrg.jl` reads `bench/benchmark/data/results.json` (override with a positional +argument) and writes **one PNG per scenario** next to the input. The x-axis is the +minimal bond dimension D (parsed from the benchname); each `(symmetry, χ)` pair is its +own colored scatter series. Multiple markers in a series at the same D come from +differing unit cells and/or CTMRG algorithms. The y-axis is the log-scale minimum time +per benchmark. To send the PNGs elsewhere: + +```sh +julia --project=bench/benchmark bench/benchmark/scripts/plot_ctmrg.jl path/to/results.json path/to/outdir ``` ## Extending the suite ### Add a scenario -Scenarios are TOML files in `PEPSKitBenchmarks/ctmrg/`, parsed into `CTMRGSpec` values. Each -top-level table name becomes a symmetry group. Every spec must set exactly these keys: -`unitcell`, `Pspaces`, `Nspaces`, `Espaces`, `chi_north`, `chi_east`, `chi_south`, -`chi_west`. A minimal uniform spec is: +Scenarios are TOML files in `PEPSKitBenchmarks/ctmrg/`. Each file has two scenario-level +keys at the top — `unitcell` and `[[algorithms]]` — followed by one array-of-tables per +symmetry group (`[[Trivial]]`, `[[NonUniform]]`, `[[f]]`, …). Every spec under a symmetry +must set: `Pspaces`, `Nspaces`, `Espaces`, `chi_north`, `chi_east`, `chi_south`, +`chi_west`. The unit cell from the top is shared across every spec. + +A minimal scenario: ```toml -[[Trivial]] unitcell = [2, 2] + +[[algorithms]] +type = "SimultaneousCTMRG" +projector_alg = "HalfInfiniteProjector" + +[[Trivial]] Pspaces = "ℂ^2" Nspaces = "ℂ^2" Espaces = "ℂ^2" @@ -95,9 +135,10 @@ chi_south = "ℂ^8" chi_west = "ℂ^8" ``` -Each value may be a scalar string (broadcast across the unit cell) or a `[rows][cols]` -array of space strings (per-site). See the `NonUniform` entries in `default.toml` for -worked examples mixing the two forms. +Each space-field value may be a scalar string (broadcast across the unit cell) or a +`[rows][cols]` array of space strings (per-site). `[[algorithms]]` is an array of tables, +so add more to benchmark a scenario across several CTMRG/projector combinations — each +gets its own `algname(alg)` group under the scenario. To add a brand-new scenario file, drop it into `ctmrg/` and add it to the `allparams` `Dict` in `CTMRGBenchmarks.jl`: diff --git a/benchmark/scripts/plot_ctmrg.jl b/benchmark/scripts/plot_ctmrg.jl new file mode 100644 index 000000000..1e195031f --- /dev/null +++ b/benchmark/scripts/plot_ctmrg.jl @@ -0,0 +1,92 @@ +# Plot timings for the `ctmrg` benchmark group. +# +# Usage: +# julia --project=bench/benchmark bench/benchmark/scripts/plot_ctmrg.jl [results.json] [outdir] +# +# `results.json` is a file produced by `BenchmarkTools.save(path, results)`. +# Defaults to `bench/benchmark/data/results.json`. One PNG is written per +# scenario under `outdir` (default: same directory as the input). The x-axis is +# the minimal bond dimension D parsed from the benchname (`D_chi<χ>`); each +# (symmetry, χ) pair is a separate series. Multiple markers in a series at the +# same D come from multiple algorithms in the scenario. + +using BenchmarkTools +using CairoMakie + +const DEFAULT_INPUT = normpath(joinpath(@__DIR__, "..", "data", "results.json")) +const BENCHNAME_RE = r"^D(\d+)_chi(\d+)$" + +function load_ctmrg(path::AbstractString) + isfile(path) || error("results file not found: $(abspath(path))") + results = BenchmarkTools.load(path)[1] + haskey(results, "ctmrg") || error("no `ctmrg` group in $(path)") + return results["ctmrg"] +end + +function parse_benchname(bn::AbstractString) + m = match(BENCHNAME_RE, bn) + isnothing(m) && return nothing + return (D = parse(Int, m[1]), chi = parse(Int, m[2])) +end + +function plot_one(g_scen::BenchmarkGroup, scenario::AbstractString; outdir::AbstractString) + # (symmetry, χ) -> Vector{(D, time_ms)} over all algorithms and unit cells. + series = Dict{Tuple{String, Int}, Vector{Tuple{Int, Float64}}}() + + for alg_name in keys(g_scen) + for sym_name in keys(g_scen[alg_name]) + sym_str = String(sym_name) + for (bn, trial) in g_scen[alg_name][sym_name] + meta = parse_benchname(String(bn)) + isnothing(meta) && continue + key = (sym_str, meta.chi) + t_ms = minimum(trial).time / 1e6 + pts = get!(series, key, Tuple{Int, Float64}[]) + push!(pts, (meta.D, t_ms)) + end + end + end + isempty(series) && return nothing + + sorted_keys = sort!(collect(keys(series))) + all_D = sort!(collect(unique(p[1] for pts in values(series) for p in pts))) + colors = Makie.wong_colors() + + fig = Figure(; size = (700, 480)) + ax = Axis( + fig[1, 1]; + title = "ctmrg / $(scenario)", + xlabel = "minimal D", + ylabel = "minimum time (ms)", + yscale = log10, + xticks = (all_D, string.(all_D)), + ) + + for (i, key) in enumerate(sorted_keys) + sym, chi = key + pts = sort(series[key]; by = first) + xs = [p[1] for p in pts] + ys = [p[2] for p in pts] + scatterlines!(ax, xs, ys; + color = colors[mod1(i, length(colors))], + label = "$sym, χ=$chi", + markersize = 12, + ) + end + Legend(fig[1, 2], ax) + + mkpath(outdir) + out = joinpath(outdir, "ctmrg_$(scenario).png") + save(out, fig) + println("wrote $(out)") + return out +end + +function (@main)(args::AbstractVector{<:AbstractString}) + input = isempty(args) ? DEFAULT_INPUT : args[1] + outdir = length(args) >= 2 ? args[2] : dirname(abspath(input)) + g_ctmrg = load_ctmrg(input) + for scenario in sort!(String.(collect(keys(g_ctmrg)))) + plot_one(g_ctmrg[scenario], scenario; outdir) + end +end From 56c8b90cdd0ffbf2593e01e1908d081db4abac46 Mon Sep 17 00:00:00 2001 From: lkdvos Date: Sun, 17 May 2026 17:09:47 -0400 Subject: [PATCH 8/8] runic formatting --- benchmark/scripts/plot_ctmrg.jl | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/benchmark/scripts/plot_ctmrg.jl b/benchmark/scripts/plot_ctmrg.jl index 1e195031f..82cd03027 100644 --- a/benchmark/scripts/plot_ctmrg.jl +++ b/benchmark/scripts/plot_ctmrg.jl @@ -40,7 +40,7 @@ function plot_one(g_scen::BenchmarkGroup, scenario::AbstractString; outdir::Abst meta = parse_benchname(String(bn)) isnothing(meta) && continue key = (sym_str, meta.chi) - t_ms = minimum(trial).time / 1e6 + t_ms = minimum(trial).time / 1.0e6 pts = get!(series, key, Tuple{Int, Float64}[]) push!(pts, (meta.D, t_ms)) end @@ -67,7 +67,8 @@ function plot_one(g_scen::BenchmarkGroup, scenario::AbstractString; outdir::Abst pts = sort(series[key]; by = first) xs = [p[1] for p in pts] ys = [p[2] for p in pts] - scatterlines!(ax, xs, ys; + scatterlines!( + ax, xs, ys; color = colors[mod1(i, length(colors))], label = "$sym, χ=$chi", markersize = 12, @@ -89,4 +90,5 @@ function (@main)(args::AbstractVector{<:AbstractString}) for scenario in sort!(String.(collect(keys(g_ctmrg)))) plot_one(g_ctmrg[scenario], scenario; outdir) end + return end