CSBBasic/Experts.php at master · AdamGarnsworthy/CSBBasic · GitHub

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<?php
   $c=299792458; // m/s

    $Element=array(" ","H","He","Li","Be","B","C","N","O","F","Ne"
                  ,"Na","Mg","Al","Si","P","S","Cl","Ar","K","Ca"
                  ,"Sc","Ti","V","Cr","Mn","Fe","Co","Ni","Cu","Zn"
                  ,"Ga","Ge","As","Se","Br","Kr","Rb","Sr","Y","Zr"
                  ,"Nb","Mo","Tc","Ru","Rh","Pd","Ag","Cd","In","Sn"
                  ,"Sb","Te","I","Xe","Cs","Ba","La","Ce","Pr","Nd"
                  ,"Pm","Sm","Eu","Gd","Tb","Dy","Ho","Er","Tm","Yb"
                  ,"Lu","Hf","Ta","W","Re","Os","Ir","Pt","Au","Hg"
                  ,"Tl","Pb","Bi","Po","At","Rn","Fr","Ra","Ac","Th"
		   ,"Pa","U");

$BadZ[1]=array(1,2,6,7,8,9,10,12,13,17,18,22,24,26,28,30,31,33,34,35,36,42,47,49,50,54,55);
$BadZ[2]=array(1,2,6,7,8,9,10,12,13,17,18,22,24,26,28,30,31,33,34,35,36,42,47,49,50,54,55);
$StableZ=array( 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9,10,10,10,
		11,12,12,12,13,14,14,14,15,16,16,16,16,17,17,18,18,18,19,19,19,20,20,20,20,20,20,
		21,22,22,22,22,22,23,23,24,24,24,24,25,26,26,26,26,27,28,28,28,28,28,29,29,30,30,30,30,30,
		31,31,32,32,32,32,32,33,34,34,34,34,34,34,35,35,36,36,36,36,36,36,37,37,38,38,38,38,39,40,40,40,40,40,
		41,42,42,42,42,42,42,42,44,44,44,44,44,44,44,45,
		46,46,46,46,46,46,47,47,48,48,48,48,48,48,48,48,49,49,50,50,50,50,50,50,50,50,50,50,
		51,51,52,52,52,52,52,52,52,52,53,54,54,54,54,54,54,54,54,54,55,
		56,56,56,56,56,56,56,57,57,58,58,58,58,59,60,60,60,60,60,60,60,
		62,62,62,62,62,62,62,63,63,64,64,64,64,64,64,64,65,
		66,66,66,66,66,66,66,67,68,68,68,68,68,68,69,70,70,70,70,70,70,70,
		71,71,72,72,72,72,72,72,73,73,74,74,74,74,74,75,75,
                76,76,76,76,76,76,76,77,77,78,78,78,78,78,78,79,80,80,80,80,80,80,80,
                81,81,82,82,82,82,83,90,92,92,92);

$StableA=array( 1, 2, 3, 4, 6, 7, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,
		23,24,25,26,27,28,29,30,31,32,33,34,36,35,37,36,38,40,39,40,41,40,42,43,44,46,48,
		45,46,47,48,49,50,50,51,50,52,53,54,55,54,56,57,58,59,58,60,61,62,64,63,65,64,66,67,68,70,
		69,71,70,72,73,74,76,75,74,76,77,78,80,82,79,81,78,80,82,83,84,86,85,87,84,86,87,88,89,90,91,92,94,96,
		93,92,94,95,96,97,98,100,96,98,99,100,101,102,104,103,
		102,104,105,106,108,110,107,109,106,108,110,111,112,113,114,116,113,115,112,114,115,116,117,118,119,120,122,124,
		121,123,120,122,123,124,125,126,128,130,127,124,126,128,129,130,131,132,134,136,133,
		130,132,134,135,136,137,138,138,139,136,138,140,142,141,142,143,144,145,146,148,150,
		144,147,148,149,150,152,154,151,153,152,154,155,156,157,158,160,159,
		156,158,160,161,162,163,164,165,162,164,166,167,168,170,169,168,170,171,172,173,174,176,
		175,176,174,176,177,178,179,180,180,181,180,182,183,184,186,185,187,
                184,186,187,188,189,190,192,191,193,190,192,194,195,196,198,197,196,198,199,200,201,202,204,
                203,205,204,206,207,208,209,232,234,235,238);


$emass=0.0005485799; // AMU
$emassMeV=0.510999; // MeV

$masses00=array(2,1,2.0141017778, 3,1,3.0160492777, 3,2,3.0160293191, 3,Li,3.030780, 4,1,4.027810, 4,2,4.00260325415, 4,3,4.027190, 5,1,5.035310, 5,2,5.012220, 5,3,5.012540, 5,4,5.040790, 6,1,6.044940, 6,2,6.0188891, 6,3,6.015122795, 6,4,6.019726, 6,5,6.046810, 7,1,7.052750, 7,2,7.028021, 7,3,7.01600455, 7,4,7.01692983, 7,5,7.029920, 8,2,8.033922, 8,3,8.02248736, 8,4,8.00530510, 8,5,8.0246072, 8,6,8.037675, 9,2,9.043950, 9,3,9.0267895, 9,4,9.0121822, 9,5,9.0133288, 9,6,9.0310367, 10,2,10.052400, 10,3,10.035481, 10,4,10.0135338, 10,5,10.0129370, 10,6,10.0168532, 10,7,10.041650, 11,3,11.043798, 11,4,11.021658, 11,5,11.0093054, 11,6,11.0114336, 11,7,11.026090, 12,3,12.053780, 12,4,12.026921, 12,5,12.0143521, 12,6,12.0000000, 12,7,12.0186132, 12,8,12.034405, 13,4,13.035690, 13,5,13.0177802, 13,6,13.0033548378, 13,7,13.00573861, 13,8,13.024812, 14,4,14.042890, 14,5,14.025404, 14,6,14.003241989, 14,7,14.0030740048, 14,8,14.00859625, 14,9,14.035060, 15,4,15.053460, 15,5,15.031103, 15,6,15.0105993, 15,7,15.0001088982, 15,8,15.0030656, 15,9,15.018010, 16,4,16.061920, 16,5,16.039810, 16,6,16.014701, 16,7,16.0061017, 16,8,15.99491461956, 16,9,16.011466, 16,10,16.025761, 17,5,17.046990, 17,6,17.022586, 17,7,17.008450, 17,8,16.99913170, 17,9,17.00209524, 17,10,17.017672, 18,5,18.056170, 18,6,18.026760, 18,7,18.014079, 18,8,17.9991610, 18,9,18.0009380, 18,10,18.0057082, 18,11,18.025970, 19,5,19.063730, 19,6,19.034810, 19,7,19.017029, 19,8,19.003580, 19,9,18.99840322, 19,10,19.0018802, 19,11,19.013877, 19,12,19.035470);
$masses20=array(20,6,20.040320, 20,7,20.023370, 20,8,20.0040767, 20,9,19.99998132, 20,10,19.9924401754, 20,11,20.007351, 20,12,20.018863, 21,6,21.049340, 21,7,21.027110, 21,8,21.008656, 21,9,20.9999490, 21,10,20.99384668, 21,11,20.9976552, 21,12,21.011713, 21,13,21.028040, 22,6,22.057200, 22,7,22.034390, 22,8,22.009970, 22,9,22.002999, 22,10,21.991385114, 22,11,21.9944364, 22,12,21.9995738, 22,13,22.019520, 22,14,22.034530, 23,7,23.041220, 23,8,23.015690, 23,9,23.003570, 23,10,22.99446690, 23,11,22.9897692809, 23,12,22.9941237, 23,13,23.007267, 23,14,23.025520, 24,7,24.051040, 24,8,24.020470, 24,9,24.008120, 24,10,23.9936108, 24,11,23.99096278, 24,12,23.985041700, 24,13,23.9999389, 24,14,24.011546, 24,15,24.034350, 25,7,25.060660, 25,8,25.029460, 25,9,25.012100, 25,10,24.997737, 25,11,24.9899540, 25,12,24.98583692, 25,13,24.9904281, 25,14,25.004106, 25,15,25.020260, 26,8,26.038340, 26,9,26.019620, 26,10,26.000461, 26,11,25.992633, 26,12,25.982592929, 26,13,25.98689169, 26,14,25.992330, 26,15,26.011780, 26,16,26.027880, 27,8,27.048260, 27,9,27.026760, 27,10,27.007590, 27,11,26.994077, 27,12,26.98434059, 27,13,26.98153863, 27,14,26.98670491, 27,15,26.999230, 27,16,27.018830, 28,8,28.057810, 28,9,28.035670, 28,10,28.012070, 28,11,27.998938, 28,12,27.9838768, 28,13,27.98191031, 28,14,27.9769265325, 28,15,27.992315, 28,16,28.004370, 28,17,28.028510, 29,9,29.043260, 29,10,29.019390, 29,11,29.002861, 29,12,28.988600, 29,13,28.9804450, 29,14,28.976494700, 29,15,28.9818006, 29,16,28.996610, 29,17,29.014110, 30,9,30.052500, 30,10,30.024800, 30,11,30.008976, 30,12,29.990434, 30,13,29.982960, 30,14,29.97377017, 30,15,29.9783138, 30,16,29.984903, 30,17,30.004770, 30,18,30.021560, 31,9,31.060430, 31,10,31.033110, 31,11,31.013590, 31,12,30.996546, 31,13,30.983947, 31,14,30.97536323, 31,15,30.97376163, 31,16,30.9795547, 31,17,30.992410, 31,18,31.012120, 32,10,32.040020, 32,11,32.020470, 32,12,31.998975, 32,13,31.988120, 32,14,31.97414808, 32,15,31.97390727, 32,16,31.97207100, 32,17,31.985690, 32,18,31.9976380, 32,19,32.021920, 33,10,33.049380, 33,11,33.026720, 33,12,33.005254, 33,13,32.990840, 33,14,32.978000, 33,15,32.9717255, 33,16,32.97145876, 33,17,32.9774519, 33,18,32.9899257, 33,19,33.007260, 34,10,34.057030, 34,11,34.035170, 34,12,34.009460, 34,13,33.996850, 34,14,33.978576, 34,15,33.973636, 34,16,33.96786690, 34,17,33.97376282, 34,18,33.9802712, 34,19,33.998410, 34,20,34.014120, 35,11,35.042490, 35,12,35.017340, 35,13,34.999860, 35,14,34.984580, 35,15,34.9733141, 35,16,34.96903216, 35,17,34.96885268, 35,18,34.9752576, 35,19,34.988010, 35,20,35.004940, 36,11,36.051480, 36,12,36.023000, 36,13,36.006210, 36,14,35.986600, 36,15,35.978260, 36,16,35.96708076, 36,17,35.96830698, 36,18,35.967545106, 36,19,35.981292, 36,20,35.993090, 36,21,36.014920, 37,11,37.059340, 37,12,37.031400, 37,13,37.010680, 37,14,36.992940, 37,15,36.979610, 37,16,36.97112557, 37,17,36.96590259, 37,18,36.96677632, 37,19,36.97337589, 37,20,36.985870, 37,21,37.003050, 38,12,38.037570, 38,13,38.017230, 38,14,37.995630, 38,15,37.984160, 38,16,37.971163, 38,17,37.96801043, 38,18,37.9627324, 38,19,37.9690812, 38,20,37.976318, 38,21,37.994700, 38,22,38.009770, 39,12,39.046770, 39,13,39.022970, 39,14,39.002070, 39,15,38.986180, 39,16,38.975130, 39,17,38.9680082, 39,18,38.964313, 39,19,38.96370668, 39,20,38.9707197, 39,21,38.984790, 39,22,39.001610);
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173,68,172.942400, 173,69,172.939604, 173,70,172.9382108, 173,71,172.9389306, 173,72,172.940510, 173,73,172.943750, 173,74,172.947690, 173,75,172.953240, 173,76,172.959808, 173,77,172.967502, 173,78,172.976440, 173,79,172.986237, 173,80,172.997240, 174,67,173.951150, 174,68,173.944230, 174,69,173.942170, 174,70,173.9388621, 174,71,173.9403375, 174,72,173.940046, 174,73,173.944450, 174,74,173.946080, 174,75,173.953120, 174,76,173.957062, 174,77,173.966861, 174,78,173.972819, 174,79,173.984760, 174,80,173.992864, 175,67,174.954050, 175,68,174.947770, 175,69,174.943840, 175,70,174.9412765, 175,71,174.9407718, 175,72,174.941509, 175,73,174.943740, 175,74,174.946720, 175,75,174.951380, 175,76,174.956946, 175,77,174.964113, 175,78,174.972421, 175,79,174.981270, 175,80,174.991420, 176,68,175.950080, 176,69,175.946990, 176,70,175.9425717, 176,71,175.9426863, 176,72,175.9414086, 176,73,175.944860, 176,74,175.945630, 176,75,175.951620, 176,76,175.954810, 176,77,175.963649, 176,78,175.968945, 176,79,175.980100, 176,80,175.987355, 176,81,176.000590, 177,68,176.954050, 177,69,176.949040, 177,70,176.9452608, 177,71,176.9437581, 177,72,176.9432207, 177,73,176.944472, 177,74,176.946640, 177,75,176.950330, 177,76,176.954965, 177,77,176.961302, 177,78,176.968469, 177,79,176.976865, 177,80,176.986280, 177,81,176.996427, 178,69,177.952640, 178,70,177.946647, 178,71,177.945955, 178,72,177.9436988, 178,73,177.945778, 178,74,177.945876, 178,75,177.950990, 178,76,177.953251, 178,77,177.961082, 178,78,177.965649, 178,79,177.976030, 178,80,177.982483, 178,81,177.994900, 178,82,178.003830, 179,69,178.955340, 179,70,178.950170, 179,71,178.947327, 179,72,178.9458161, 179,73,178.9459295, 179,74,178.947070, 179,75,178.949988, 179,76,178.953816, 179,77,178.959122, 179,78,178.965363, 179,79,178.973213, 179,80,178.981834, 179,81,178.991090, 179,82,179.002150);
$masses180=array(180,70,179.952330, 180,71,179.949880, 180,72,179.9465500, 180,73,179.9474648, 180,74,179.946704, 180,75,179.950789, 180,76,179.952379, 180,77,179.959229, 180,78,179.963031, 180,79,179.972521, 180,80,179.978266, 180,81,179.989910, 180,82,179.997918, 181,70,180.956150, 181,71,180.951970, 181,72,180.9491012, 181,73,180.9479958, 181,74,180.948197, 181,75,180.950068, 181,76,180.953240, 181,77,180.957625, 181,78,180.963097, 181,79,180.970079, 181,80,180.977819, 181,81,180.986257, 181,82,180.996620, 182,71,181.955040, 182,72,181.950554, 182,73,181.9501518, 182,74,181.9482042, 182,75,181.951210, 182,76,181.952110, 182,77,181.958076, 182,78,181.961171, 182,79,181.969618, 182,80,181.974690, 182,81,181.985670, 182,82,181.992672, 183,71,182.957570, 183,72,182.953530, 183,73,182.9513726, 183,74,182.9502230, 183,75,182.950820, 183,76,182.953130, 183,77,182.956846, 183,78,182.961597, 183,79,182.967593, 183,80,182.974450, 183,81,182.982193, 183,82,182.991870, 184,71,183.960910, 184,72,183.955450, 184,73,183.954008, 184,74,183.9509312, 184,75,183.952521, 184,76,183.9524891, 184,77,183.957480, 184,78,183.959922, 184,79,183.967452, 184,80,183.971713, 184,81,183.981870, 184,82,183.988142, 184,83,184.001120, 185,72,184.958820, 185,73,184.955559, 185,74,184.9534193, 185,75,184.9529550, 185,76,184.9540423, 185,77,184.956700, 185,78,184.960620, 185,79,184.965789, 185,80,184.971899, 185,81,184.978790, 185,82,184.987610, 185,83,184.997630, 186,72,185.960890, 186,73,185.958550, 186,74,185.9543641, 186,75,185.9549861, 186,76,185.9538382, 186,77,185.957946, 186,78,185.959351, 186,79,185.965953, 186,80,185.969362, 186,81,185.978330, 186,82,185.984239, 186,83,185.996600, 187,72,186.964590, 187,73,186.960530, 187,74,186.9571605, 187,75,186.9557531, 187,76,186.9557505, 187,77,186.957363, 187,78,186.960590, 187,79,186.964568, 187,80,186.969814, 187,81,186.975906, 187,82,186.983918, 187,83,186.993158, 188,72,187.966850, 188,73,187.963700, 188,74,187.958489, 188,75,187.9581144, 188,76,187.9558382, 188,77,187.958853, 188,78,187.959395, 188,79,187.965324, 188,80,187.967577, 188,81,187.976010, 188,82,187.980874, 188,83,187.992270, 188,84,187.999422, 189,73,188.965830, 189,74,188.961910, 189,75,188.959229, 189,76,188.9581475, 189,77,188.958719, 189,78,188.960834, 189,79,188.963948, 189,80,188.968190, 189,81,188.973588, 189,82,188.980810, 189,83,188.989200, 189,84,188.998481, 190,73,189.969230, 190,74,189.963180, 190,75,189.961820, 190,76,189.9584470, 190,77,189.9605460, 190,78,189.959932, 190,79,189.964700, 190,80,189.966322, 190,81,189.973880, 190,82,189.978082, 190,83,189.988300, 190,84,189.995101, 191,74,190.966600, 191,75,190.963125, 191,76,190.9609297, 191,77,190.9605940, 191,78,190.961677, 191,79,190.963700, 191,80,190.967157, 191,81,190.971786, 191,82,190.978270, 191,83,190.985786, 191,84,190.994574, 192,74,191.968170, 192,75,191.965960, 192,76,191.9614807, 192,77,191.9626050, 192,78,191.9610380, 192,79,191.964813, 192,80,191.965634, 192,81,191.972230, 192,82,191.975785, 192,83,191.985460, 192,84,191.991335, 193,75,192.967470, 193,76,192.9641516, 193,77,192.9629264, 193,78,192.9629874, 193,79,192.964150, 193,80,192.966665, 193,81,192.970670, 193,82,192.976170, 193,83,192.982960, 193,84,192.991030, 193,85,192.999840, 194,75,193.970420, 194,76,193.9651821, 194,77,193.9650784, 194,78,193.9626803, 194,79,193.965365, 194,80,193.965439, 194,81,193.971200, 194,82,193.974012, 194,83,193.982830, 194,84,193.988186, 194,85,193.998730, 195,76,194.968130, 195,77,194.9659796, 195,78,194.9647911, 195,79,194.9650346, 195,80,194.966720, 195,81,194.969774, 195,82,194.974542, 195,83,194.980651, 195,84,194.988110, 195,85,194.996268, 195,86,195.005440, 196,76,195.969640, 196,77,195.968400, 196,78,195.9649515, 196,79,195.966570, 196,80,195.965833, 196,81,195.970481, 196,82,195.972774, 196,83,195.980667, 196,84,195.985535, 196,85,195.995790, 196,86,196.002115, 197,77,196.969653, 197,78,196.9673402, 197,79,196.9665687, 197,80,196.967213, 197,81,196.969575, 197,82,196.973431, 197,83,196.978864, 197,84,196.985660, 197,85,196.993190, 197,86,197.001580, 198,77,197.972280, 198,78,197.967893, 198,79,197.9682423, 198,80,197.9667690, 198,81,197.970480, 198,82,197.972034, 198,83,197.979210, 198,84,197.983389, 198,85,197.992840, 198,86,197.998679, 199,77,198.973800, 199,78,198.970593, 199,79,198.9687652, 199,80,198.9682799, 199,81,198.969880, 199,82,198.972917, 199,83,198.977672, 199,84,198.983666, 199,85,198.990530, 199,86,198.998370, 199,87,199.007260);
$masses200=array(200,78,199.971441, 200,79,199.970730, 200,80,199.9683260, 200,81,199.970963, 200,82,199.971827, 200,83,199.978132, 200,84,199.981799, 200,85,199.990351, 200,86,199.995699, 200,87,200.006570, 201,78,200.974510, 201,79,200.971657, 201,80,200.9703023, 201,81,200.970819, 201,82,200.972885, 201,83,200.977009, 201,84,200.982260, 201,85,200.988417, 201,86,200.995630, 201,87,201.003860, 202,78,201.975740, 202,79,201.973810, 202,80,201.9706430, 202,81,201.972106, 202,82,201.972159, 202,83,201.977742, 202,84,201.980758, 202,85,201.988630, 202,86,201.993263, 202,87,202.003370, 202,88,202.009890, 203,79,202.975155, 203,80,202.9728725, 203,81,202.9723442, 203,82,202.973391, 203,83,202.976876, 203,84,202.981420, 203,85,202.986942, 203,86,202.993387, 203,87,203.000925, 203,88,203.009270, 204,79,203.977720, 204,80,203.9734939, 204,81,203.9738635, 204,82,203.9730436, 204,83,203.977813, 204,84,203.980318, 204,85,203.987251, 204,86,203.991429, 204,87,204.000653, 204,88,204.006500, 205,79,204.979870, 205,80,204.976073, 205,81,204.9744275, 205,82,204.9744818, 205,83,204.977389, 205,84,204.981203, 205,85,204.986074, 205,86,204.991720, 205,87,204.998594, 205,88,205.006270, 206,80,205.977514, 206,81,205.9761103, 206,82,205.9744653, 206,83,205.978499, 206,84,205.980481, 206,85,205.986667, 206,86,205.990214, 206,87,205.998670, 206,88,206.003827, 206,89,206.014500, 207,80,206.982590, 207,81,206.977419, 207,82,206.9758969, 207,83,206.9784707, 207,84,206.981593, 207,85,206.985784, 207,86,206.990734, 207,87,206.996950, 207,88,207.003800, 207,89,207.011950, 208,80,207.985940, 208,81,207.9820187, 208,82,207.9766521, 208,83,207.9797422, 208,84,207.9812457, 208,85,207.986590, 208,86,207.989642, 208,87,207.997140, 208,88,208.001840, 208,89,208.011550, 209,80,208.991040, 209,81,208.985359, 209,82,208.9810901, 209,83,208.9803987, 209,84,208.9824304, 209,85,208.986173, 209,86,208.990415, 209,87,208.995954, 209,88,209.001990, 209,89,209.009490, 209,90,209.017720, 210,80,209.994510, 210,81,209.990074, 210,82,209.9841885, 210,83,209.9841204, 210,84,209.9828737, 210,85,209.987148, 210,86,209.989696, 210,87,209.996408, 210,88,210.000495, 210,89,210.009440, 210,90,210.015075, 211,81,210.993480, 211,82,210.9887370, 211,83,210.987269, 211,84,210.9866532, 211,85,210.9874963, 211,86,210.990601, 211,87,210.995537, 211,88,211.000898, 211,89,211.007730, 211,90,211.014930, 212,81,211.998230, 212,82,211.9918975, 212,83,211.9912857, 212,84,211.9888680, 212,85,211.990745, 212,86,211.990704, 212,87,211.996202, 212,88,211.999794, 212,89,212.007810, 212,90,212.012980, 212,91,212.023200, 213,82,212.996581, 213,83,212.994385, 213,84,212.992857, 213,85,212.992937, 213,86,212.993883, 213,87,212.996189, 213,88,213.000384, 213,89,213.006610, 213,90,213.013010, 213,91,213.021110, 214,82,213.9998054, 214,83,213.998712, 214,84,213.9952014, 214,85,213.996372, 214,86,213.995363, 214,87,213.998971, 214,88,214.000108, 214,89,214.006902, 214,90,214.011500, 214,91,214.020920, 215,82,215.004810, 215,83,215.001770, 215,84,214.9994200, 215,85,214.998653, 215,86,214.998745, 215,87,215.000341, 215,88,215.002720, 215,89,215.006454, 215,90,215.011730, 215,91,215.019190, 216,83,216.006306, 216,84,216.0019150, 216,85,216.002423, 216,86,216.000274, 216,87,216.003198, 216,88,216.003533, 216,89,216.008720, 216,90,216.011062, 216,91,216.019110, 217,83,217.009470, 217,84,217.006335, 217,85,217.004719, 217,86,217.003928, 217,87,217.004632, 217,88,217.006320, 217,89,217.009347, 217,90,217.013114, 217,91,217.018320, 217,92,217.024370, 218,83,218.014320, 218,84,218.0089730, 218,85,218.008694, 218,86,218.0056013, 218,87,218.007578, 218,88,218.007140, 218,89,218.011640, 218,90,218.013284, 218,91,218.020042, 218,92,218.023540, 219,84,219.013740, 219,85,219.011162, 219,86,219.0094802, 219,87,219.009252, 219,88,219.010085, 219,89,219.012420, 219,90,219.015540, 219,91,219.019880, 219,92,219.024920);
$masses220=array(220,84,220.016600, 220,85,220.015410, 220,86,220.0113940, 220,87,220.012327, 220,88,220.011028, 220,89,220.014763, 220,90,220.015748, 220,91,220.021880, 220,92,220.024720, 221,85,221.018050, 221,86,221.015537, 221,87,221.014255, 221,88,221.013917, 221,89,221.015590, 221,90,221.018184, 221,91,221.021880, 221,92,221.026400, 222,85,222.022330, 222,86,222.0175777, 222,87,222.017552, 222,88,222.015375, 222,89,222.017844, 222,90,222.018468, 222,91,222.023740, 222,92,222.026090, 223,85,223.025190, 223,86,223.021790, 223,87,223.0197359, 223,88,223.0185022, 223,89,223.019137, 223,90,223.020811, 223,91,223.023960, 223,92,223.027740, 224,86,224.024090, 224,87,224.023250, 224,88,224.0202118, 224,89,224.021723, 224,90,224.021467, 224,91,224.025626, 224,92,224.027605, 225,86,225.028440, 225,87,225.025570, 225,88,225.023612, 225,89,225.023230, 225,90,225.023951, 225,91,225.026130, 225,92,225.029391, 225,93,225.033910, 226,86,226.030890, 226,87,226.029390, 226,88,226.0254098, 226,89,226.026098, 226,90,226.024903, 226,91,226.027948, 226,92,226.029339, 226,93,226.035150, 227,86,227.035410, 227,87,227.031840, 227,88,227.0291778, 227,89,227.0277521, 227,90,227.0277041, 227,91,227.028805, 227,92,227.031156, 227,93,227.034960, 228,86,228.037990, 228,87,228.035730, 228,88,228.0310703, 228,89,228.0310211, 228,90,228.0287411, 228,91,228.031051, 228,92,228.031374, 228,93,228.036180, 228,94,228.038740, 229,87,229.038450, 229,88,229.034958, 229,89,229.033020, 229,90,229.031762, 229,91,229.0320968, 229,92,229.033506, 229,93,229.036260, 229,94,229.040150, 230,87,230.042510, 230,88,230.037056, 230,89,230.036290, 230,90,230.0331338, 230,91,230.034541, 230,92,230.033940, 230,93,230.037830, 230,94,230.039650, 231,87,231.045440, 231,88,231.041220, 231,89,231.038560, 231,90,231.0363043, 231,91,231.0358840, 231,92,231.036294, 231,93,231.038250, 231,94,231.041101, 231,95,231.045560, 232,87,232.049770, 232,88,232.043640, 232,89,232.042030, 232,90,232.0380553, 232,91,232.038592, 232,92,232.0371562, 232,93,232.040110, 232,94,232.041187, 232,95,232.046590, 233,88,233.048060, 233,89,233.044550, 233,90,233.0415818, 233,91,233.0402473, 233,92,233.0396352, 233,93,233.040740, 233,94,233.043000, 233,95,233.046350, 233,96,233.050770, 234,88,234.050700, 234,89,234.048420, 234,90,234.043601, 234,91,234.043308, 234,92,234.0409521, 234,93,234.042895, 234,94,234.043317, 234,95,234.047810, 234,96,234.050160, 235,89,235.051230, 235,90,235.047510, 235,91,235.045440, 235,92,235.0439299, 235,93,235.0440633, 235,94,235.045286, 235,95,235.047950, 235,96,235.051430, 235,97,235.056580, 236,89,236.055300, 236,90,236.049870, 236,91,236.048680, 236,92,236.0455680, 236,93,236.046570, 236,94,236.0460580, 236,95,236.049580, 236,96,236.051410, 236,97,236.057330, 237,90,237.053890, 237,91,237.051150, 237,92,237.0487302, 237,93,237.0481734, 237,94,237.0484097, 237,95,237.050000, 237,96,237.052900, 237,97,237.057000, 237,98,237.062070, 238,90,238.056500, 238,91,238.054500, 238,92,238.0507882, 238,93,238.0509464, 238,94,238.0495599, 238,95,238.051980, 238,96,238.053030, 238,97,238.058280, 238,98,238.061410);

function getthismass($A,$Z)
{
 $mass=$A;
 $ii=0;
 switch($A){
            case  0: case  1: case  2: case  3: case  4: case  5: case  6: case  7: case  8: case  9:
            case 10: case 11: case 12: case 13: case 14: case 15: case 16: case 17: case 18: case 19: global $masses00; $masses=$masses00; break;
            case 20: case 21: case 22: case 23: case 24: case 25: case 26: case 27: case 28: case 29:
            case 30: case 31: case 32: case 33: case 34: case 35: case 36: case 37: case 38: case 39: global $masses20; $masses=$masses20; break;
            case 40: case 41: case 42: case 43: case 44: case 45: case 46: case 47: case 48: case 49:
            case 50: case 51: case 52: case 53: case 54: case 55: case 56: case 57: case 58: case 59: global $masses40; $masses=$masses40; break;
            case 60: case 61: case 62: case 63: case 64: case 65: case 66: case 67: case 68: case 69:
            case 70: case 71: case 72: case 73: case 74: case 75: case 76: case 77: case 78: case 79: global $masses60; $masses=$masses60; break;
            case 80: case 81: case 82: case 83: case 84: case 85: case 86: case 87: case 88: case 89:
            case 90: case 91: case 92: case 93: case 94: case 95: case 96: case 97: case 98: case 99: global $masses80; $masses=$masses80; break;
            case 100: case 101: case 102: case 103: case 104: case 105: case 106: case 107: case 108: case 109:
            case 110: case 111: case 112: case 113: case 114: case 115: case 116: case 117: case 118: case 119: global $masses100; $masses=$masses100; break;
            case 120: case 121: case 122: case 123: case 124: case 125: case 126: case 127: case 128: case 129:
            case 130: case 131: case 132: case 133: case 134: case 135: case 136: case 137: case 138: case 139: global $masses120; $masses=$masses120; break;
            case 140: case 141: case 142: case 143: case 144: case 145: case 146: case 147: case 148: case 149:
            case 150: case 151: case 152: case 153: case 154: case 155: case 156: case 157: case 158: case 159: global $masses140; $masses=$masses140; break;
            case 160: case 161: case 162: case 163: case 164: case 165: case 166: case 167: case 168: case 169:
            case 170: case 171: case 172: case 173: case 174: case 175: case 176: case 177: case 178: case 179: global $masses160; $masses=$masses160; break;
            case 180: case 181: case 182: case 183: case 184: case 185: case 186: case 187: case 188: case 189:
            case 190: case 191: case 192: case 193: case 194: case 195: case 196: case 197: case 198: case 199: global $masses180; $masses=$masses180; break;
            case 200: case 201: case 202: case 203: case 204: case 205: case 206: case 207: case 208: case 209:
            case 210: case 211: case 212: case 213: case 214: case 215: case 216: case 217: case 218: case 219: global $masses200; $masses=$masses200; break;
            case 220: case 221: case 222: case 223: case 224: case 225: case 226: case 227: case 228: case 229:
            case 230: case 231: case 232: case 233: case 234: case 235: case 236: case 237: case 238: case 239: global $masses220; $masses=$masses220; break;
            default: echo "Bad Mass! "; break;
           }
 while($ii<count($masses))
     {
      if($masses[$ii]==$A && $masses[$ii+1]==$Z){ $mass=$masses[$ii+2]; break; }
      $ii+=3;
     }
 return($mass);
}

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2,3.906250e-12,3.417970e-12,3.906250e-12,9.765630e-13,1.000000e-13,1.000000e-13,1.000000e-13,9.765630e-13,1.000000e-13,4.882810e-13,9.765630e-13,2.929690e-12,1.953130e-12,1.464840e-12,3.417970e-12,3.417970e-12,3.417970e-12,2.929690e-12,1.464840e-12,3.906250e-12,2.441410e-12,2.441410e-12,3.906250e-12,9.765630e-13,1.000000e-13,4.882810e-13,4.882810e-13,4.882810e-13,1.000000e-13,4.882810e-13,1.000000e-13,2.929690e-12,2.441410e-12,4.882810e-13,3.417970e-12,2.441410e-12,1.416020e-11,7.226560e-11,1.518550e-10,2.714840e-10,4.169920e-10,6.118160e-10,8.125000e-10,9.755859e-10,1.079590e-09,1.240720e-09,1.450200e-09,1.562990e-09,1.530760e-09,1.498540e-09,1.450200e-09,1.353520e-09,1.176270e-09,7.412110e-10,5.092770e-10,2.958980e-10,1.484380e-10,4.394530e-11,1.953130e-12,1.953130e-12,1.953130e-12,2.929690e-12,2.441410e-12,1.000000e-13,4.882810e-13,1.000000e-13,4.882810e-13,4.882810e-13,1.000000e-13,9.765630e-13,1.464840e-12,2.929690e-12,2.441410e-12,1.953130e-12,3.906250e-12,5.859370e-12,7.812500e-12,8.789060e-12,1.123050e-11,1.318360e-11,1.660160e-11,1.806640e-11,2.099610e-11,2.001950e-11,1.953130e-11,1.904300e-11,1.806640e-11,1.708980e-11,1.318360e-11,9.765630e-12,5.859370e-12,6.835940e-12,5.371090e-12,2.929690e-12,4.394530e-12,2.929690e-12,3.417970e-12,3.417970e-12,4.882810e-13,3.417970e-12,2.441410e-12,2.441410e-12,1.953130e-12,4.882810e-13,1.000000e-13,1.000000e-13,4.882810e-13,1.000000e-13,4.882810e-13,1.000000e-13,1.464840e-12,5.859370e-12,5.371090e-12,5.371090e-12,8.789060e-12,1.025390e-11,1.074220e-11,1.318360e-11,9.765630e-12,1.513670e-11,1.464840e-11,1.367190e-11,1.318360e-11,8.789060e-12,5.371090e-12,4.882810e-12,3.906250e-12,2.441410e-12,1.464840e-12,9.765630e-13,1.000000e-13,2.441410e-12,2.441410e-12,1.953130e-12,2.929690e-12,2.441410e-12,3.417970e-12,2.441410e-12,1.953130e-12,2.441410e-12,2.441410e-12,2.441410e-12,2.929690e-12,1.000000e-13,9.765630e-13,4.882810e-13,1.000000e-13,9.765630e-13,4.882810e-13,1.000000e-13,2.929690e-12,1.000000e-13,2.929690e-12,9.765630e-13,2.441410e-12,1.953130e-12,2.929690e-12,2.441410e-12,1.953130e-12,1.953130e-12,1.953130e-12,2.929690e-12,1.464840e-12,1.000000e-13,1.000000e-13,4.882810e-13,1.000000e-13,4.882810e-13,1.000000e-13,4.882810e-13,1.000000e-13,2.929690e-12,1.953130e-12,1.464840e-12,1.464840e-12,1.464840e-12,2.441410e-12,1.953130e-12,1.464840e-12,4.394530e-12,4.882810e-12,6.835940e-12,7.812500e-12,8.300780e-12,8.789060e-12,1.171870e-11,1.269530e-11,1.562500e-11,1.464840e-11,1.611330e-11,1.513670e-11,1.562500e-11,1.562500e-11,1.367190e-11,9.765630e-12,9.765630e-12,7.324220e-12,5.371090e-12,3.906250e-12,3.906250e-12,1.953130e-12,2.441410e-12,2.929690e-12,1.000000e-13,4.882810e-13,1.000000e-13,1.000000e-13,1.000000e-13,1.000000e-13,1.000000e-13,2.441410e-12,1.000000e-13,2.929690e-12,1.464840e-12,2.929690e-12,1.953130e-12,1.464840e-12,2.441410e-12,1.953130e-12,2.441410e-12,2.441410e-12,1.953130e-12,2.441410e-12,1.000000e-13,4.882810e-13,1.000000e-13,4.882810e-13,1.000000e-13,1.000000e-13,9.765630e-13,1.000000e-13,3.906250e-12,2.929690e-12,2.441410e-12,2.441410e-12,2.441410e-12,2.929690e-12,1.953130e-12,9.765630e-13,2.441410e-12,3.417970e-12,1.464840e-12,2.929690e-12,1.000000e-13,4.882810e-13,4.882810e-13,1.000000e-13,1.464840e-12,3.417970e-12,5.859370e-12,1.123050e-11,7.812500e-12,1.269530e-11,1.367190e-11,1.562500e-11,1.953130e-11,2.050780e-11,2.148440e-11,1.953130e-11,2.197270e-11,2.050780e-11,1.855470e-11,1.611330e-11,1.171870e-11,8.300780e-12,5.371090e-12,9.765630e-13,1.953130e-12,1.464840e-12,1.953130e-12,3.906250e-12,2.441410e-12,4.882810e-13,2.441410e-12,1.953130e-12,1.953130e-12,3.417970e-12,2.441410e-12,1.953130e-12,2.441410e-12,1.464840e-12,2.441410e-12,1.464840e-12,1.464840e-12,3.417970e-12,9.765630e-13,1.464840e-12,3.906250e-12,1.464840e-12,1.953130e-12,9.765630e-13,1.464840e-12,1.464840e-12,9.765630e-13,2.441410e-12,4.394530e-12,2.929690e-12,4.882810e-13,1.953130e-12,1.464840e-12,2.441410e-12,1.464840e-12,1.464840e-12,1.953130e-12,1.953130e-12,1.464840e-12,1.464840e-12,9.765630e-13,4.882810e-12,2.441410e-12,1.953130e-12,1.953130e-12,2.441410e-12,1.464840e-12,4.882810e-13,1.953130e-12,1.464840e-12,9.765630e-13,1.464840e-12,3.417970e-12,1.000000e-13,2.441410e-12,1.953130e-12,2.929690e-12,1.953130e-12,9.765630e-13,2.441410e-12,1.464840e-12,1.464840e-12,4.882810e-13,1.953130e-12,1.464840e-12,1.953130e-12,2.441410e-12,1.953130e-12,9.765630e-13,1.464840e-12,1.953130e-12,1.953130e-12,2.929690e-12,1.953130e-12,2.441410e-12,1.464840e-12,1.464840e-12,1.464840e-12,1.464840e-12,1.464840e-12,4.882810e-13,1.953130e-12,1.464840e-12,1.953130e-12,1.953130e-12,2.441410e-12,3.906250e-12,2.929690e-12,1.953130e-12,1.464840e-12,2.441410e-12,1.464840e-12,2.929690e-12,1.953130e-12,1.953130e-12,2.929690e-12,3.417970e-12,1.953130e-12,1.000000e-13,9.765630e-13,1.953130e-12,1.464840e-12,1.953130e-12,1.464840e-12,1.464840e-12,2.929690e-12,3.906250e-12,1.953130e-12,9.765630e-13,1.953130e-12,2.441410e-12,1.464840e-12,1.464840e-12,1.464840e-12,2.441410e-12,1.953130e-12,1.953130e-12,1.464840e-12,2.441410e-12,1.953130e-12,2.441410e-12,1.464840e-12,4.882810e-13,1.953130e-12,1.953130e-12,2.441410e-12,4.882810e-13,1.464840e-12,9.765630e-13,2.441410e-12,1.953130e-12,2.441410e-12,2.929690e-12,2.929690e-12,2.441410e-12,1.953130e-12,1.953130e-12,1.464840e-12,1.953130e-12,2.929690e-12,1.953130e-12,1.953130e-12,4.882810e-13,2.441410e-12,1.953130e-12,2.929690e-12,1.464840e-12,3.417970e-12,9.765630e-13,1.953130e-12,1.464840e-12,2.441410e-12,4.882810e-13,1.464840e-12,2.441410e-12,1.464840e-12,3.417970e-12,2.441410e-12,1.464840e-12,1.953130e-12,1.464840e-12,1.953130e-12,3.906250e-12,1.953130e-12,9.765630e-13,1.953130e-12,1.953130e-12,1.953130e-12,1.464840e-12,9.765630e-13,1.464840e-12,2.441410e-12,1.464840e-12,4.882810e-13,1.953130e-12,1.000000e-13,1.953130e-12,1.464840e-12,1.464840e-12,1.953130e-12,1.464840e-12,2.441410e-12,1.953130e-12,2.441410e-12,1.953130e-12,4.394530e-12,1.464840e-12,4.882810e-13,1.464840e-12,9.765630e-13,2.441410e-12,1.953130e-12,1.953130e-12,1.464840e-12,1.464840e-12,1.953130e-12,4.882810e-13,1.464840e-12,1.464840e-12,1.464840e-12,1.464840e-12);


function frac($nu,$t,$c){
  $gammax=array(0.1,   0.2,   0.3,   0.4,   0.5,   0.6,   0.7,   0.8,   0.9,
  1.0,   1.1,   1.2,   1.3,   1.4,   1.5,   1.6,   1.7,   1.8,   1.9,
  2.0,   2.1,   2.2,   2.3,   2.4,   2.5,   2.6,   2.7,   2.8,   2.9,
  3.0,   3.1,   3.2,   3.3,   3.4,   3.5,   3.6,   3.7,   3.8,   3.9,
  4.0,   4.1,   4.2,   4.3,   4.4,   4.5,   4.6,   4.7,   4.8,   4.9,
  5.0,   5.1,   5.2,   5.3,   5.4,   5.5,   5.6,   5.7,   5.8,   5.9,
  6.0,   6.1,   6.2,   6.3,   6.4,   6.5,   6.6,   6.7,   6.8,   6.9,
  7.0,   7.1,   7.2,   7.3,   7.4,   7.5,   7.6,   7.7,   7.8,   7.9,
  8.0,   8.1,   8.2,   8.3,   8.4,   8.5,   8.6,   8.7,   8.8,   8.9,
  9.0,   9.1,   9.2,   9.3,   9.4,   9.5,   9.6,   9.7,   9.8,   9.9,
 10.0,  10.1,  10.2,  10.3,  10.4,  10.5,  10.6,  10.7,  10.8,  10.9,
 11.0,  11.1,  11.2,  11.3,  11.4,  11.5,  11.6,  11.7,  11.8,  11.9,
 12.0,  12.1,  12.2,  12.3,  12.4,  12.5,  12.6,  12.7,  12.8,  12.9,
 13.0,  13.1,  13.2,  13.3,  13.4,  13.5,  13.6,  13.7,  13.8,  13.9,
 14.0,  14.1,  14.2,  14.3,  14.4,  14.5,  14.6,  14.7,  14.8,  14.9,
 15.0,  15.1,  15.2,  15.3,  15.4,  15.5,  15.6,  15.7,  15.8,  15.9,
 16.0,  16.1,  16.2,  16.3,  16.4,  16.5,  16.6,  16.7,  16.8,  16.9,
 17.0,  17.1,  17.2,  17.3,  17.4,  17.5,  17.6,  17.7,  17.8,  17.9,
 18.0,  18.1,  18.2,  18.3,  18.4,  18.5,  18.6,  18.7,  18.8,  18.9,
 19.0,  19.1,  19.2,  19.3,  19.4,  19.5,  19.6,  19.7,  19.8,  19.9,
 20.0,  20.1,  20.2,  20.3,  20.4,  20.5,  20.6,  20.7,  20.8,  20.9,
 21.0,  21.1,  21.2,  21.3,  21.4,  21.5,  21.6,  21.7,  21.8,  21.9,
 22.0,  22.1,  22.2,  22.3,  22.4,  22.5,  22.6,  22.7,  22.8,  22.9,
 23.0,  23.1,  23.2,  23.3,  23.4,  23.5,  23.6,  23.7,  23.8,  23.9,
 24.0,  24.1,  24.2,  24.3,  24.4,  24.5,  24.6,  24.7,  24.8,  24.9,
 25.0,  25.1,  25.2,  25.3,  25.4,  25.5,  25.6,  25.7,  25.8,  25.9,
 26.0,  26.1,  26.2,  26.3,  26.4,  26.5,  26.6,  26.7,  26.8,  26.9,
 27.0,  27.1,  27.2,  27.3,  27.4,  27.5,  27.6,  27.7,  27.8,  27.9,
 28.0,  28.1,  28.2,  28.3,  28.4,  28.5,  28.6,  28.7,  28.8,  28.9,
 29.0,  29.1,  29.2,  29.3,  29.4,  29.5,  29.6,  29.7,  29.8,  29.9,
 30.0,  30.1,  30.2,  30.3,  30.4,  30.5,  30.6,  30.7,  30.8,  30.9,
 31.0,  31.1,  31.2,  31.3,  31.4,  31.5,  31.6,  31.7,  31.8,  31.9,
 32.0,  32.1,  32.2,  32.3,  32.4,  32.5,  32.6,  32.7,  32.8,  32.9,
 33.0,  33.1,  33.2,  33.3,  33.4,  33.5,  33.6,  33.7,  33.8,  33.9,
 34.0,  34.1,  34.2,  34.3,  34.4,  34.5,  34.6,  34.7,  34.8,  34.9,
 35.0,  35.1,  35.2,  35.3,  35.4,  35.5,  35.6,  35.7,  35.8,  35.9,
 36.0,  36.1,  36.2,  36.3,  36.4,  36.5,  36.6,  36.7,  36.8,  36.9,
 37.0,  37.1,  37.2,  37.3,  37.4,  37.5,  37.6,  37.7,  37.8,  37.9,
 38.0,  38.1,  38.2,  38.3,  38.4,  38.5,  38.6,  38.7,  38.8,  38.9,
 39.0,  39.1,  39.2,  39.3,  39.4,  39.5,  39.6,  39.7,  39.8,  39.9,
 40.0,  40.1,  40.2,  40.3,  40.4,  40.5,  40.6,  40.7,  40.8,  40.9,
 41.0,  41.1,  41.2,  41.3,  41.4,  41.5,  41.6,  41.7,  41.8,  41.9,
 42.0,  42.1,  42.2,  42.3,  42.4,  42.5,  42.6,  42.7,  42.8,  42.9,
 43.0,  43.1,  43.2,  43.3,  43.4,  43.5,  43.6,  43.7,  43.8,  43.9,
 44.0,  44.1,  44.2,  44.3,  44.4,  44.5,  44.6,  44.7,  44.8,  44.9,
 45.0,  45.1,  45.2,  45.3,  45.4,  45.5,  45.6,  45.7,  45.8,  45.9,
 46.0,  46.1,  46.2,  46.3,  46.4,  46.5,  46.6,  46.7,  46.8,  46.9,
 47.0,  47.1,  47.2,  47.3,  47.4,  47.5,  47.6,  47.7,  47.8,  47.9,
 48.0,  48.1,  48.2,  48.3,  48.4,  48.5,  48.6,  48.7,  48.8,  48.9,
 49.0,  49.1,  49.2,  49.3,  49.4,  49.5,  49.6,  49.7,  49.8,  49.9,
 50.0,  50.1,  50.2,  50.3,  50.4,  50.5,  50.6,  50.7,  50.8,  50.9,
 51.0,  51.1,  51.2,  51.3,  51.4,  51.5,  51.6,  51.7,  51.8,  51.9,
 52.0,  52.1,  52.2,  52.3,  52.4,  52.5,  52.6,  52.7,  52.8,  52.9,
 53.0,  53.1,  53.2,  53.3,  53.4,  53.5,  53.6,  53.7,  53.8,  53.9,
 54.0,  54.1,  54.2,  54.3,  54.4,  54.5,  54.6,  54.7,  54.8,  54.9,
 55.0,  55.1,  55.2,  55.3,  55.4,  55.5,  55.6,  55.7,  55.8,  55.9,
 56.0,  56.1,  56.2,  56.3,  56.4,  56.5,  56.6,  56.7,  56.8,  56.9,
 57.0,  57.1,  57.2,  57.3,  57.4,  57.5,  57.6,  57.7,  57.8,  57.9,
 58.0,  58.1,  58.2,  58.3,  58.4,  58.5,  58.6,  58.7,  58.8,  58.9,
 59.0,  59.1,  59.2,  59.3,  59.4,  59.5,  59.6,  59.7,  59.8,  59.9,
 60.0,  60.1,  60.2,  60.3,  60.4,  60.5,  60.6,  60.7,  60.8,  60.9,
 61.0,  61.1,  61.2,  61.3,  61.4,  61.5,  61.6,  61.7,  61.8,  61.9,
 62.0,  62.1,  62.2,  62.3,  62.4,  62.5,  62.6,  62.7,  62.8,  62.9,
 63.0,  63.1,  63.2,  63.3,  63.4,  63.5,  63.6,  63.7,  63.8,  63.9,
 64.0,  64.1,  64.2,  64.3,  64.4,  64.5,  64.6,  64.7,  64.8,  64.9,
 65.0,  65.1,  65.2,  65.3,  65.4,  65.5,  65.6,  65.7,  65.8,  65.9,
 66.0,  66.1,  66.2,  66.3,  66.4,  66.5,  66.6,  66.7,  66.8,  66.9,
 67.0,  67.1,  67.2,  67.3,  67.4,  67.5,  67.6,  67.7,  67.8,  67.9,
 68.0,  68.1,  68.2,  68.3,  68.4,  68.5,  68.6,  68.7,  68.8,  68.9,
 69.0,  69.1,  69.2,  69.3,  69.4,  69.5,  69.6,  69.7,  69.8,  69.9,
 70.0,  70.1,  70.2,  70.3,  70.4,  70.5,  70.6,  70.7,  70.8,  70.9,
 71.0,  71.1,  71.2,  71.3,  71.4,  71.5,  71.6,  71.7,  71.8,  71.9,
 72.0,  72.1,  72.2,  72.3,  72.4,  72.5,  72.6,  72.7,  72.8,  72.9,
 73.0,  73.1,  73.2,  73.3,  73.4,  73.5,  73.6,  73.7,  73.8,  73.9,
 74.0,  74.1,  74.2,  74.3,  74.4,  74.5,  74.6,  74.7,  74.8,  74.9,
 75.0,  75.1,  75.2,  75.3,  75.4,  75.5,  75.6,  75.7,  75.8,  75.9,
 76.0,  76.1,  76.2,  76.3,  76.4,  76.5,  76.6,  76.7,  76.8,  76.9,
 77.0,  77.1,  77.2,  77.3,  77.4,  77.5,  77.6,  77.7,  77.8,  77.9,
 78.0,  78.1,  78.2,  78.3,  78.4,  78.5,  78.6,  78.7,  78.8,  78.9,
 79.0,  79.1,  79.2,  79.3,  79.4,  79.5,  79.6,  79.7,  79.8,  79.9,
 80.0,  80.1,  80.2,  80.3,  80.4,  80.5,  80.6,  80.7,  80.8,  80.9,
 81.0,  81.1,  81.2,  81.3,  81.4,  81.5,  81.6,  81.7,  81.8,  81.9,
 82.0,  82.1,  82.2,  82.3,  82.4,  82.5,  82.6,  82.7,  82.8,  82.9,
 83.0,  83.1,  83.2,  83.3,  83.4,  83.5,  83.6,  83.7,  83.8,  83.9,
 84.0,  84.1,  84.2,  84.3,  84.4,  84.5,  84.6,  84.7,  84.8,  84.9,
 85.0,  85.1,  85.2,  85.3,  85.4,  85.5,  85.6,  85.7,  85.8,  85.9,
 86.0,  86.1,  86.2,  86.3,  86.4,  86.5,  86.6,  86.7,  86.8,  86.9,
 87.0,  87.1,  87.2,  87.3,  87.4,  87.5,  87.6,  87.7,  87.8,  87.9,
 88.0,  88.1,  88.2,  88.3,  88.4,  88.5,  88.6,  88.7,  88.8,  88.9,
 89.0,  89.1,  89.2,  89.3,  89.4,  89.5,  89.6,  89.7,  89.8,  89.9,
 90.0,  90.1,  90.2,  90.3,  90.4,  90.5,  90.6,  90.7,  90.8,  90.9,
 91.0,  91.1,  91.2,  91.3,  91.4,  91.5,  91.6,  91.7,  91.8,  91.9,
 92.0,  92.1,  92.2,  92.3,  92.4,  92.5,  92.6,  92.7,  92.8,  92.9,
 93.0,  93.1,  93.2,  93.3,  93.4,  93.5,  93.6,  93.7,  93.8,  93.9,
 94.0,  94.1,  94.2,  94.3,  94.4,  94.5,  94.6,  94.7,  94.8,  94.9,
 95.0,  95.1,  95.2,  95.3,  95.4,  95.5,  95.6,  95.7,  95.8,  95.9,
 96.0,  96.1,  96.2,  96.3,  96.4,  96.5,  96.6,  96.7,  96.8,  96.9,
 97.0,  97.1,  97.2,  97.3,  97.4,  97.5,  97.6,  97.7,  97.8,  97.9,
 98.0,  98.1,  98.2,  98.3,  98.4,  98.5,  98.6,  98.7,  98.8,  98.9,
 99.0,  99.1,  99.2,  99.3,  99.4,  99.5,  99.6,  99.7,  99.8,  99.9,
100.0);
  $gammavalue=array(9.51e+00, 4.59e+00, 2.99e+00, 2.22e+00, 1.77e+00, 1.49e+00, 1.30e+00, 1.16e+00, 1.07e+00,
1.00e+00, 9.51e-01, 9.18e-01, 8.97e-01, 8.87e-01, 8.86e-01, 8.94e-01, 9.09e-01, 9.31e-01, 9.62e-01,
1.00e+00, 1.05e+00, 1.10e+00, 1.17e+00, 1.24e+00, 1.33e+00, 1.43e+00, 1.54e+00, 1.68e+00, 1.83e+00,
2.00e+00, 2.20e+00, 2.42e+00, 2.68e+00, 2.98e+00, 3.32e+00, 3.72e+00, 4.17e+00, 4.69e+00, 5.30e+00,
6.00e+00, 6.81e+00, 7.76e+00, 8.86e+00, 1.01e+01, 1.16e+01, 1.34e+01, 1.54e+01, 1.78e+01, 2.07e+01,
2.40e+01, 2.79e+01, 3.26e+01, 3.81e+01, 4.46e+01, 5.23e+01, 6.16e+01, 7.25e+01, 8.56e+01, 1.01e+02,
1.20e+02, 1.42e+02, 1.69e+02, 2.02e+02, 2.41e+02, 2.88e+02, 3.45e+02, 4.13e+02, 4.97e+02, 5.97e+02,
7.20e+02, 8.69e+02, 1.05e+03, 1.27e+03, 1.54e+03, 1.87e+03, 2.28e+03, 2.77e+03, 3.38e+03, 4.12e+03,
5.04e+03, 6.17e+03, 7.56e+03, 9.28e+03, 1.14e+04, 1.40e+04, 1.73e+04, 2.13e+04, 2.63e+04, 3.26e+04,
4.03e+04, 5.00e+04, 6.20e+04, 7.70e+04, 9.58e+04, 1.19e+05, 1.49e+05, 1.86e+05, 2.32e+05, 2.90e+05,
3.63e+05, 4.55e+05, 5.71e+05, 7.16e+05, 9.01e+05, 1.13e+06, 1.43e+06, 1.80e+06, 2.27e+06, 2.87e+06,
3.63e+06, 4.59e+06, 5.82e+06, 7.38e+06, 9.37e+06, 1.19e+07, 1.51e+07, 1.93e+07, 2.45e+07, 3.13e+07,
3.99e+07, 5.10e+07, 6.52e+07, 8.34e+07, 1.07e+08, 1.37e+08, 1.76e+08, 2.25e+08, 2.89e+08, 3.72e+08,
4.79e+08, 6.17e+08, 7.95e+08, 1.03e+09, 1.32e+09, 1.71e+09, 2.21e+09, 2.86e+09, 3.71e+09, 4.80e+09,
6.23e+09, 8.08e+09, 1.05e+10, 1.36e+10, 1.77e+10, 2.31e+10, 3.01e+10, 3.92e+10, 5.11e+10, 6.67e+10,
8.72e+10, 1.14e+11, 1.49e+11, 1.95e+11, 2.55e+11, 3.35e+11, 4.39e+11, 5.76e+11, 7.57e+11, 9.95e+11,
1.31e+12, 1.72e+12, 2.27e+12, 2.98e+12, 3.93e+12, 5.19e+12, 6.85e+12, 9.05e+12, 1.20e+13, 1.58e+13,
2.09e+13, 2.77e+13, 3.67e+13, 4.87e+13, 6.45e+13, 8.56e+13, 1.14e+14, 1.51e+14, 2.01e+14, 2.67e+14,
3.56e+14, 4.74e+14, 6.31e+14, 8.42e+14, 1.12e+15, 1.50e+15, 2.00e+15, 2.67e+15, 3.58e+15, 4.78e+15,
6.40e+15, 8.57e+15, 1.15e+16, 1.54e+16, 2.07e+16, 2.77e+16, 3.72e+16, 5.00e+16, 6.72e+16, 9.04e+16,
1.22e+17, 1.64e+17, 2.21e+17, 2.97e+17, 4.01e+17, 5.41e+17, 7.30e+17, 9.85e+17, 1.33e+18, 1.80e+18,
2.43e+18, 3.29e+18, 4.46e+18, 6.03e+18, 8.18e+18, 1.11e+19, 1.50e+19, 2.04e+19, 2.77e+19, 3.76e+19,
5.11e+19, 6.95e+19, 9.45e+19, 1.29e+20, 1.75e+20, 2.38e+20, 3.25e+20, 4.43e+20, 6.04e+20, 8.24e+20,
1.12e+21, 1.54e+21, 2.10e+21, 2.87e+21, 3.92e+21, 5.36e+21, 7.34e+21, 1.00e+22, 1.38e+22, 1.89e+22,
2.59e+22, 3.55e+22, 4.87e+22, 6.68e+22, 9.17e+22, 1.26e+23, 1.73e+23, 2.38e+23, 3.28e+23, 4.51e+23,
6.21e+23, 8.55e+23, 1.18e+24, 1.62e+24, 2.24e+24, 3.09e+24, 4.26e+24, 5.88e+24, 8.12e+24, 1.12e+25,
1.55e+25, 2.15e+25, 2.97e+25, 4.11e+25, 5.68e+25, 7.87e+25, 1.09e+26, 1.51e+26, 2.10e+26, 2.91e+26,
4.03e+26, 5.60e+26, 7.77e+26, 1.08e+27, 1.50e+27, 2.09e+27, 2.90e+27, 4.04e+27, 5.62e+27, 7.82e+27,
1.09e+28, 1.52e+28, 2.11e+28, 2.95e+28, 4.11e+28, 5.74e+28, 8.01e+28, 1.12e+29, 1.56e+29, 2.18e+29,
3.05e+29, 4.26e+29, 5.96e+29, 8.34e+29, 1.17e+30, 1.64e+30, 2.29e+30, 3.21e+30, 4.50e+30, 6.31e+30,
8.84e+30, 1.24e+31, 1.74e+31, 2.44e+31, 3.43e+31, 4.82e+31, 6.78e+31, 9.53e+31, 1.34e+32, 1.89e+32,
2.65e+32, 3.73e+32, 5.26e+32, 7.41e+32, 1.04e+33, 1.47e+33, 2.07e+33, 2.93e+33, 4.13e+33, 5.83e+33,
8.23e+33, 1.16e+34, 1.64e+34, 2.32e+34, 3.28e+34, 4.63e+34, 6.56e+34, 9.28e+34, 1.31e+35, 1.86e+35,
2.63e+35, 3.73e+35, 5.28e+35, 7.49e+35, 1.06e+36, 1.51e+36, 2.14e+36, 3.03e+36, 4.31e+36, 6.11e+36,
8.68e+36, 1.23e+37, 1.75e+37, 2.49e+37, 3.55e+37, 5.05e+37, 7.18e+37, 1.02e+38, 1.46e+38, 2.07e+38,
2.95e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38, 3.00e+38,
3.00e+38);
  $i=0;
  while($gammax[$i]<($nu/2)){$i++; if($i>999){break;}}
  $gamma=$gammavalue[$i];
  $F=$c*pow((pow(2,($nu/2))*$gamma),-1)*pow($t,(($nu/2)-1))*exp(-$t/2);
  if($F<0.001){$F=0.0;}
  return($F);
}
function charge_fraction($i,$s,$meanQ)
{
  $j=0; $F=0.0;
  while($F<0.001)
    {
      $F=exp((-1.0*(pow($j-$meanQ,2)))/(2.0*$s*$s));
      $j=$j+1;
    }
  $sum=0.0;
  while($F>=0.001)
    {
      $F=exp((-1.0*(pow($j-$meanQ,2)))/(2.0*$s*$s));
      $sum=$sum+$F;
      $j=$j+1;
    }
  // Sum of charge state fractions must equal 1.0 so normalize the height of the mean charge state fraction appropriately.
  $F=exp((-1.0*(pow($meanQ-$meanQ,2)))/(2.0*$s*$s));
   $height=$F/$sum;
   // echo "<BR>"+$height+", "+$F+", "+$sum+"<BR>";

  $F=$height*exp((-1.0*(pow($i-$meanQ,2)))/(2.0*$s*$s));
  $F=$F*100;
  return($F);
}

    function imagethickline($image, $x1, $y1, $x2, $y2, $color, $thick = 1)
{
    /* this way it works well only for orthogonal lines
    imagesetthickness($image, $thick);
    return imageline($image, $x1, $y1, $x2, $y2, $color);
    */
    if ($thick == 1) {
        return imageline($image, $x1, $y1, $x2, $y2, $color);
    }
    $t = $thick / 2 - 0.5;
    if ($x1 == $x2 || $y1 == $y2) {
        return imagefilledrectangle($image, round(min($x1, $x2) - $t), round(min($y1, $y2) - $t), round(max($x1, $x2) + $t), round(max($y1, $y2) + $t), $color);
    }
    $k = ($y2 - $y1) / ($x2 - $x1); //y = kx + q
    $a = $t / sqrt(1 + pow($k, 2));
    $points = array(
        round($x1 - (1+$k)*$a), round($y1 + (1-$k)*$a),
        round($x1 - (1-$k)*$a), round($y1 - (1+$k)*$a),
        round($x2 + (1+$k)*$a), round($y2 - (1-$k)*$a),
        round($x2 + (1-$k)*$a), round($y2 + (1+$k)*$a),
    );
    imagefilledpolygon($image, $points, 4, $color);
    return imagepolygon($image, $points, 4, $color);
}

?>