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 <ldevos98@gmail.com>"]
 
 [workspace]
-projects = ["test", "docs"]
+projects = ["test", "docs", "benchmark"]
 
 [deps]
 Accessors = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
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..fc98604fe
--- /dev/null
+++ b/benchmark/PEPSKitBenchmarks/ctmrg/CTMRGBenchmarks.jl
@@ -0,0 +1,42 @@
+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")),
+    "su3_hubbard" => TOML.parsefile(joinpath(@__DIR__, "su3_hubbard.toml")),
+)
+
+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 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; unitcell)
+                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..0c2805c81
--- /dev/null
+++ b/benchmark/PEPSKitBenchmarks/ctmrg/ctmrg_iteration_benchmarks.jl
@@ -0,0 +1,124 @@
+struct CTMRGSpec{S <: ElementarySpace}
+    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
+
+unitcell(spec::CTMRGSpec) = size(spec.Pspaces)
+
+function benchname(spec::CTMRGSpec)
+    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 "D$(Dmin)_chi$(chimin)"
+end
+
+algname(alg::PEPSKit.CTMRGAlgorithm) =
+    "$(typeof(alg).name.name)_$(typeof(alg.projector_alg).name.name)"
+
+function setup_problem(spec::CTMRGSpec; T::Type = ComplexF64)
+    peps = InfinitePEPS(randn, T, spec.Pspaces, spec.Nspaces, spec.Espaces)
+    env = CTMRGEnv(
+        randn, T, peps,
+        spec.chi_north, spec.chi_east, spec.chi_south, spec.chi_west,
+    )
+    network = InfiniteSquareNetwork(peps)
+    return network, env
+end
+
+function ctmrg_iteration_benchmark(spec::CTMRGSpec, alg; T::Type = ComplexF64)
+    network, env = setup_problem(spec; T)
+    return @benchmarkable PEPSKit.ctmrg_iteration($network, $env, $alg)
+end
+
+# Convert a TOML value (scalar string or 2D array of strings) to a Matrix sized to `unitcell`.
+function _to_space_matrix(val::AbstractString, unitcell::Tuple{Int, Int}, key::AbstractString)
+    V = untomlify(VectorSpace, val)
+    return fill(V, unitcell)
+end
+function _to_space_matrix(val::AbstractVector, unitcell::Tuple{Int, Int}, key::AbstractString)
+    rows, cols = unitcell
+    length(val) == rows || throw(
+        ArgumentError(
+            "Field `$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 $cols."
+            )
+        )
+    end
+    return [untomlify(VectorSpace, val[r][c]) for r in 1:rows, c in 1:cols]
+end
+
+function _get_matrix(d, key, unitcell)
+    haskey(d, key) || throw(ArgumentError("Spec is missing required key `$key`."))
+    return _to_space_matrix(d[key], unitcell, key)
+end
+
+function tomlify(spec::CTMRGSpec)
+    return Dict(
+        "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; unitcell::Tuple{Int, Int})
+    Pspaces = _get_matrix(d, "Pspaces", unitcell)
+    Nspaces = _get_matrix(d, "Nspaces", unitcell)
+    Espaces = _get_matrix(d, "Espaces", unitcell)
+
+    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(
+        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
new file mode 100644
index 000000000..6a0c970ae
--- /dev/null
+++ b/benchmark/PEPSKitBenchmarks/ctmrg/default.toml
@@ -0,0 +1,50 @@
+unitcell = [1, 1]
+
+[[algorithms]]
+type = "SimultaneousCTMRG"
+projector_alg = "HalfInfiniteProjector"
+
+[[Trivial]]
+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]]
+Pspaces = "ℂ^2"
+Nspaces = "ℂ^2"
+Espaces = "ℂ^2"
+chi_north = "ℂ^12"
+chi_east = "ℂ^12"
+chi_south = "ℂ^12"
+chi_west = "ℂ^12"
+
+[[Trivial]]
+Pspaces = "ℂ^2"
+Nspaces = "ℂ^3"
+Espaces = "ℂ^3"
+chi_north = "ℂ^12"
+chi_east = "ℂ^12"
+chi_south = "ℂ^12"
+chi_west = "ℂ^12"
+
+[[Trivial]]
+Pspaces = "ℂ^2"
+Nspaces = "ℂ^3"
+Espaces = "ℂ^3"
+chi_north = "ℂ^18"
+chi_east = "ℂ^18"
+chi_south = "ℂ^18"
+chi_west = "ℂ^18"
+
+[[Trivial]]
+Pspaces = "ℂ^2"
+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
new file mode 100644
index 000000000..41774380c
--- /dev/null
+++ b/benchmark/PEPSKitBenchmarks/ctmrg/su3_hubbard.toml
@@ -0,0 +1,314 @@
+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)"]]
+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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+[[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)"]]
+
+[[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"]]
+[[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"]]
+[[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"]]
+[[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"]]
+[[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"]]
diff --git a/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl b/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl
new file mode 100644
index 000000000..c14ba3ab1
--- /dev/null
+++ b/benchmark/PEPSKitBenchmarks/utils/BenchUtils.jl
@@ -0,0 +1,13 @@
+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)
+untomlify(::Type{<:VectorSpace}, s::AbstractString) = eval(Meta.parse(s))
+
+end
diff --git a/benchmark/Project.toml b/benchmark/Project.toml
new file mode 100644
index 000000000..c9e3c3345
--- /dev/null
+++ b/benchmark/Project.toml
@@ -0,0 +1,13 @@
+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"
+
+[sources]
+PEPSKit = {path = ".."}
diff --git a/benchmark/README.md b/benchmark/README.md
new file mode 100644
index 000000000..9a9290c4a
--- /dev/null
+++ b/benchmark/README.md
@@ -0,0 +1,168 @@
+# 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)
+├── 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
+    └── 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=<id>[,<id>…]` 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`). The unit cell and the
+  algorithm list are scenario-level (top of the TOML); every spec in a scenario shares
+  them.
+- `algorithm` is `"<CTMRGType>_<ProjectorType>"`, 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<Dmin>_chi<chimin>"`, 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_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/`. 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
+unitcell = [2, 2]
+
+[[algorithms]]
+type = "SimultaneousCTMRG"
+projector_alg = "HalfInfiniteProjector"
+
+[[Trivial]]
+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 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`:
+
+```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/<name>/<Name>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,
+       "<name>" => :<Name>Benchmarks,
+   )
+   ```
+
+The new module is then loadable via `--modules=<name>` and addressable as `SUITE["<name>"]`.
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
diff --git a/benchmark/scripts/plot_ctmrg.jl b/benchmark/scripts/plot_ctmrg.jl
new file mode 100644
index 000000000..82cd03027
--- /dev/null
+++ b/benchmark/scripts/plot_ctmrg.jl
@@ -0,0 +1,94 @@
+# 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<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 / 1.0e6
+                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
+    return
+end