transitionAmplitude[3/2, 2, 2, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
      {{{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}, {{1.7661872070314646, 0., 0., 0.}}, 
       {{1.7661872070314646, 0., 0., 0.}}, {{1.7661872070314646, 0., 0., 
         0.}}}, {Automatic}][b]
 
transitionAmplitude[3/2, 2, 1, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
      {{{1.2489069820660945, 1.248858919333113, 0., 5.504108236409375*^-6}}, 
       {{1.2727384021972106, 1.2245324900240353, 0., 0.0086250060656384}}, 
       {{1.2961212022265964, 1.1996626067238592, 0., 0.017225256131690205}}, 
       {{1.3189844888529236, 1.1743227502635238, 0., 0.025753575684036415}}, 
       {{1.3412630073317755, 1.1485918436699922, 0., 0.034169754164979915}}, 
       {{1.3628982509067329, 1.1225528136999419, 0., 0.04243569737046747}}, 
       {{1.3838393454408804, 1.0962910420613132, 0., 0.05051601119923231}}, 
       {{1.404043677761452, 1.0698927763627932, 0., 0.058378491813473696}}, 
       {{1.4234772529959834, 1.0434435708212701, 0., 0.06599450731970355}}, 
       {{1.4421147830616985, 1.017026821323013, 0., 0.07333926278689523}}, 
       {{1.4599395238480153, 0.9907224494314971, 0., 0.0803919472365929}}, 
       {{1.4769428911467866, 0.9646057767766889, 0., 0.08713576752182119}}, 
       {{1.4931238942195195, 0.93874661651532, 0., 0.0935578792693722}}, 
       {{1.5084884307803734, 0.9132085937220954, 0., 0.09964922897586384}}, 
       {{1.5230484882511532, 0.8880486930600932, 0., 0.10540432378105452}}, 
       {{1.536821294021526, 0.8633170207708918, 0., 0.11082094644460494}}, 
       {{1.549828452908615, 0.8390567594568878, 0., 0.11589983281351628}}, 
       {{1.5620951038571649, 0.8153042885649838, 0., 0.12064432781785622}}, 
       {{1.573649121092805, 0.7920894405494483, 0., 0.12506003412564906}}, 
       {{1.5845203780053148, 0.7694358622217133, 0., 0.12915446525237984}}, 
       {{1.5947400855993648, 0.7473614521395566, 0., 0.1329367124611936}}, 
       {{1.6043402117314116, 0.7258788475335024, 0., 0.1364171323795134}}, 
       {{1.6133529827124413, 0.7049959377459741, 0., 0.13960706005123194}}, 
       {{1.621810465263693, 0.6847163849994823, 0., 0.14251855021718768}}, 
       {{1.629744224217497, 0.6650401371627264, 0., 0.14516414803213878}}, 
       {{1.6371850496268239, 0.6459639208533017, 0., 0.14755668915995987}}, 
       {{1.644162745969986, 0.627481706478423, 0., 0.14970912824863428}}, 
       {{1.650705975729851, 0.6095851396577289, 0., 0.15163439411898444}}, 
       {{1.6568421496696852, 0.5922639358101646, 0., 0.15334526956575548}}, 
       {{1.6625973564834235, 0.5755062365429041, 0., 0.15485429343792903}}, 
       {{1.6679963250370424, 0.5592989279618156, 0., 0.15617368256299985}}, 
       {{1.6730624131012328, 0.5436279220437559, 0., 0.15731527110828863}}, 
       {{1.6778176171785357, 0.5284784029999012, 0., 0.15829046506223635}}, 
       {{1.6822825987628403, 0.5138350409995105, 0., 0.1591102096736092}}, 
       {{1.6864767230441982, 0.49968217594516173, 0., 0.15978496786123714}}, 
       {{1.6904181067233124, 0.48600397406843265, 0., 0.1603247078065867}}, 
       {{1.6941236721678228, 0.47278456014128295, 0., 0.16073889813679323}}, 
       {{1.6976092056549457, 0.46000812800406915, 0., 0.16103650929954202}}, 
       {{1.7008894178871425, 0.4476590319690262, 0., 0.16122601991520571}}, 
       {{1.7039780053468714, 0.43572186147569, 0., 0.16131542706096472}}, 
       {{1.7068877113712355, 0.4241815011952933, 0., 0.1613122595935541}}, 
       {{1.7096303861002529, 0.4130231785508899, 0., 0.16122359375731585}}, 
       {{1.7122170446647866, 0.4022325004444564, 0., 0.16105607044501888}}, 
       {{1.7146579231651566, 0.39179548076275206, 0., 0.160815913585811}}, 
       {{1.7169625321304558, 0.38169856007028263, 0., 0.16050894922729803}}, 
       {{1.7191397072685126, 0.37192861870530247, 0., 0.16014062495914155}}, 
       {{1.7211976574012264, 0.36247298436331926, 0., 0.15971602939243015}}, 
       {{1.7231440095548667, 0.3533194350898521, 0., 0.15923991146873306}}, 
       {{1.7249858512256337, 0.3444561984896793, 0., 0.15871669942075964}}, 
       {{1.7267297698810193, 0.33587194784658586, 0., 0.15815051924665807}}, 
       {{1.7283818897873546, 0.327555795742739, 0., 0.1575452125963813}}, 
       {{1.7299479062718304, 0.3194972856926347, 0., 0.15690435399425562}}, 
       {{1.7314331175451962, 0.31168638220520967, 0., 0.15623126734797949}}, 
       {{1.7328424542122658, 0.30411345965941894, 0., 0.1555290417098894}}, 
       {{1.7341805066085205, 0.29676929028044996, 0., 0.1548005462750611}}, 
       {{1.7354515500959233, 0.28964503148573356, 0., 0.1540484446104232}}, 
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       {{1.7640213811950938, 0.022405478363451196, 0., 0.08452107138142095}}, 
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       {{1.7641999277074412, 0.01695284066511191, 0., 0.08202723055210777}}, 
       {{1.764226724312607, 0.01608409570693386, 0., 0.08162485753803668}}, 
       {{1.7642527383030124, 0.015226222626316822, 0., 0.08122615229383412}}, 
       {{1.7642779917415612, 0.014379021123688038, 0., 0.08083107007514637}}, 
       {{1.764302505982245, 0.013542295692505597, 0., 0.08043956671783073}}, 
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       {{1.7643493988968924, 0.011899514160487446, 0., 0.07966712280812019}}, 
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       {{1.7644743570265706, 0.0072036457353168385, 0., 
         0.07743126736269716}}, {{1.7644930745481053, 0.006453132621610038, 
         0., 0.0770700800099908}}, {{1.7645112326628618, 
         0.005711375657094515, 0., 0.07671206082681191}}, 
       {{1.7645288464332323, 0.004978223805170698, 0., 0.07635717172836891}}, 
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       {{1.7645785655333714, 0.0028289389138285745, 0., 
         0.07531091186817969}}, {{1.7645941436336456, 0.0021287636457795146, 
         0., 0.07496817258534853}}, {{1.7646092461467022, 
         0.0014364873960180013, 0., 0.07462838065463312}}, 
       {{1.764623885615792, 0.0007519781511245884, 0., 0.07429150102594947}}, 
       {{1.7646380742130756, 0.00007510677552322147, 0., 
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         0., 0.07362634089177977}}, {{1.7646651457000857, 
         0.0012562249827977204, 0., 0.07329799268527991}}, 
       {{1.7646780511890272, 0.001910929929348582, 0., 0.07297242136660845}}, 
       {{1.7646905510273323, 0.002558486275419184, 0., 0.07264959424824101}}, 
       {{1.7647026557103034, 0.00319900987420703, 0., 0.07232947909692863}}, 
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       {{1.76472572008777, 0.0044594100503001525, 0., 0.07169725799714566}}, 
       {{1.7647366992986462, 0.005079506329386393, 0., 0.07138508979874286}}, 
       {{1.7647473224057377, 0.005693009386315093, 0., 0.07107550905559033}}, 
       {{1.7647575984865267, 0.00630002343453637, 0., 0.07076848571501289}}, 
       {{1.7647675363619424, 0.0069006505344748024, 0., 
         0.07046399014253776}}, {{1.7647771446046, 0.007494990648179266, 0., 
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         0., 0.06986246582005176}}, {{1.7647954052879162, 
         0.00866519959633177, 0., 0.06956537983953279}}, 
       {{1.7648040737023154, 0.009241258334825173, 0., 
         0.06927070715464428}}}, {Automatic}][b]
 
transitionAmplitude[3/2, 2, 0, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
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        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
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        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
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        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
      {{{0.7210706570191291, 1.4420858151356213, 0.7210151590721505, 
         6.355917864508365*^-6}}, {{0.7489453173804145, 1.4413806003631093, 
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         0.5366457160125961, 0.06784276638249105}}, 
       {{0.9461128609292052, 1.3984935123587632, 0.5124375798599144, 
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         0.09420383033839343}}, {{1.0279473277596212, 1.3620817863895616, 
         0.4438261364882467, 0.10243587940363068}}, 
       {{1.0543915398075558, 1.347997755883942, 0.4223729734961843, 
         0.11035783821598033}}, {{1.0803246042138228, 1.3330695365083405, 
         0.4016571025442013, 0.11795415474279289}}, 
       {{1.1056969122673288, 1.3173788161825686, 0.38168911998388944, 
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         0.36247539839480897, 0.13212155993986863}}, 
       {{1.1545874542727452, 1.284042685603614, 0.34401825823146737, 
         0.13867544940915388}}, {{1.1780339620127422, 1.2665638174146943, 
         0.32631617797395873, 0.14486919284150646}}, 
       {{1.2007765547668214, 1.2486537013274015, 0.3093640396336913, 
         0.15070083260165135}}, {{1.2227939994181514, 1.2303917410879663, 
         0.29315340507513915, 0.1561708353820891}}, 
       {{1.2440707756749763, 1.211854407958922, 0.2776728174299027, 
         0.1612819139399647}}, {{1.2645968420239797, 1.193114623808427, 
         0.26290812102050687, 0.1660388261236609}}, 
       {{1.2843673209527258, 1.174241255079862, 0.24884279271263077, 
         0.17044815790665127}}, {{1.3033821199743998, 1.155298720223304, 
         0.2354582775339363, 0.1745180970667293}}, 
       {{1.3216455055009895, 1.1363467088932162, 0.22273432166265497, 
         0.17825820377102103}}, {{1.3391656461840662, 1.1174400075449595, 
         0.21064929648233624, 0.18167918370422628}}, 
       {{1.35595414117251, 1.0986284231239625, 0.19918050822848515, 
         0.18479266859029098}}, {{1.3720255470266727, 1.0799567943964428, 
         0.18830448872973216, 0.1876110080697751}}, 
       {{1.387396914959865, 1.0614650791310647, 0.17799726381034822, 
         0.19014707597743036}}, {{1.402087347872776, 1.0431885047052365, 
         0.16823459696538737, 0.1924140931726044}}, 
       {{1.416117584409302, 1.0251577697312806, 0.15899220693240754, 
         0.19442546824610113}}, {{1.4295096151714979, 1.007399284791688, 
         0.15024595867093618, 0.19619465670115982}}, 
       {{1.4422863343319443, 0.9899354412556065, 0.1419720280284877, 
         0.19773503858566407}}, {{1.4544712282313792, 0.9727848982922082, 
         0.13414704100721034, 0.19905981405681908}}, 
       {{1.466088101197858, 0.9559628794587476, 0.1267481890174752, 
         0.20018191597992624}}, {{1.4771608377335725, 0.9394814715781236, 
         0.11975332185709649, 0.2011139383867944}}, 
       {{1.4877131994025876, 0.9233499199193563, 0.11314102037431621, 
         0.20186807944421672}}, {{1.4977686541643112, 0.9075749149382454, 
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       {{1.5073502355310122, 0.892160866948923, 0.10098240353906922, 
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         0.010545051444982646, 0.09153330115043301}}, 
       {{1.7421949605173277, 0.27524629894948993, 0.0105408498302996, 
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         0.01052516166945284, 0.08989007481210586}}, 
       {{1.7428297231045198, 0.27174077753656484, 0.010518960660167581, 
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         0.010512300587836067, 0.08908941044375543}}, 
       {{1.743133716226162, 0.2700464454562466, 0.010505196743603947, 
         0.08869416990421831}}, {{1.7432825179143163, 0.2692133376957056, 
         0.010497663937625462, 0.08830226992844226}}, 
       {{1.743429244798042, 0.26838940178666965, 0.010489716515544385, 
         0.08791367083991374}}, {{1.7435739369417285, 0.2675744913954191, 
         0.01048136837435158, 0.08752833353040507}}, 
       {{1.7437166334308927, 0.26676846322577075, 0.01047263297762578, 
         0.08714621945164443}}, {{1.743857372400535, 0.26597117694469424, 
         0.010463523370055702, 0.08676729060679636}}, 
       {{1.7439961910634882, 0.26518249510365516, 0.010454052191750161, 
         0.08639150954244018}}, {{1.74413312573662, 0.2644022830701838, 
         0.010444231691542698, 0.08601883934033967}}}, {Automatic}][b]
 
transitionAmplitude[3/2, 2, -1, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
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        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
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       {{0., 1.763798187161411, 0.09014266271188888, 0.017535837788238}}}, 
      {Automatic}][b]
 
transitionAmplitude[3/2, 2, -2, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
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        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
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       {{0., 0., 1.7661872070314641, 0.}}, {{0., 0., 1.7661872070314641, 
         0.}}}, {Automatic}][b]
 
transitionAmplitude[3/2, 1, 1, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
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        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
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        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
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       {{0.027491931544114476, 1.7658899666539536, 0., 
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       {{0.016312913852685962, 1.7660552118188297, 0., 
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         0., 0.013925316265130732}}, {{0.014610823557415154, 
         1.766073573285712, 0., 0.013707948731103323}}, 
       {{0.013775469227017214, 1.7660819307411582, 0., 
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         0., 0.013284784957774479}}, {{0.012135201396318313, 
         1.7660970901010533, 0., 0.013078818955283048}}, 
       {{0.011329924781214272, 1.7661039264883889, 0., 
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         0., 0.012677710961194305}}, {{0.009748209878100768, 
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       {{0.008203824530522923, 1.7661266914865914, 0., 
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         1.7661355332985103, 0., 0.011734517451960606}}, 
       {{0.00595442803564325, 1.7661393674115407, 0., 0.011555515892202165}}, 
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       {{0.004497837847138865, 1.7661459259140615, 0., 
         0.011206610257627397}}, {{0.003782007550898582, 1.7661486745533057, 
         0., 0.011036578912471527}}, {{0.0030743002175843523, 
         1.7661510849358468, 0., 0.010869413034294931}}, 
       {{0.0023745795230445802, 1.7661531681866518, 0., 
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         0., 0.010543440342617338}}, {{0.000998567588452281, 
         1.7661563959397886, 0., 0.010384518542149872}}, 
       {{0.000322018296703006, 1.7661575608798068, 0., 
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         1.7661584395894196, 0., 0.010074527165241274}}, 
       {{0.0010087913202090645, 1.7661590414592712, 0., 
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         1.7661594507048717, 0., 0.009628380307209533}}, 
       {{0.0029510773930937965, 1.7661592753577238, 0., 
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         0., 0.00934292403690061}}, {{0.004211319573701428, 
         1.7661582058199832, 0., 0.009203645136003961}}, 
       {{0.004831385600836154, 1.7661573272711646, 0., 
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       {{0.0072470479628675135, 1.7661516921636369, 0., 
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         0., 0.008413462646231266}}, {{0.008417510920460423, 
         1.7661476973868429, 0., 0.008288956910350328}}, 
       {{0.008993734530291304, 1.766145428023998, 0., 0.008166400108391146}}, 
       {{0.009564075100292096, 1.76614298531605, 0., 0.008045754656429803}}}, 
      {Automatic}][b]
 
transitionAmplitude[3/2, 1, 0, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
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        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
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        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
      {{{1.214068081533708, 0.00005833560810948982, 1.2140412037704484, 
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       {{0.7782527959949428, 1.4982560389154422, 0.4912755297757176, 
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         0.46462516701462864, 0.15415798999373206}}, 
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         0.1653050806571076, 0.03788533348466568}}, 
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         0.16271095804314087, 0.03710920707585951}}, 
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         0.1601939542777844, 0.036361145550856226}}, 
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         0.15775079780164147, 0.03563976078167482}}, 
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         0.1530738115651644, 0.034271887407302935}}, 
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         0.15083427652770656, 0.03362302323330846}}, 
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         0.14865715794678203, 0.03299607396092155}}, 
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         0.14653996113885198, 0.03239001991707326}}, 
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         0.14448031882278586, 0.031803900451396194}}, 
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         0.14247598331769806, 0.031236809917769316}}, 
       {{0.3072073318830243, 1.7332229679197162, 0.1414938841268695, 
         0.030960131607924875}}, {{0.30591652798299046, 1.7335349308611134, 
         0.1405248192907243, 0.03068789396652152}}, 
       {{0.30464304996691555, 1.7338411430222644, 0.13956853834045735, 
         0.030419997653138194}}, {{0.303386563144324, 1.7341417485393944, 
         0.13862479701164107, 0.03015634611972156}}, 
       {{0.302146741149949, 1.7344368870455178, 0.1376933570584761, 
         0.029896845517376112}}, {{0.30092326569392996, 1.734726693837389, 
         0.13677398607426203, 0.02964140460678465}}, 
       {{0.29971582632122745, 1.7350113000352276, 0.13586645731830865, 
         0.029389934672036745}}, {{0.2985241201784072, 1.7352908327358476, 
         0.13497054954874535, 0.02914234943772817}}, 
       {{0.297347851787636, 1.735565415159467, 0.13408604686099101, 
         0.028898564988954226}}, {{0.29618673283215674, 1.735835166789732, 
         0.13321273853174972, 0.028658499694718773}}, 
       {{0.29504048194343496, 1.7361002035088482, 0.13235041886845944, 
         0.028422074133822944}}, {{0.2939088245012913, 1.7363606377261478, 
         0.1314988870636537, 0.028189211023671508}}, 
       {{0.2927914924361737, 1.736616578502134, 0.1306579470542434, 
         0.027959835151771348}}, {{0.2916882240406209, 1.7368681316669985, 
         0.1298274073856288, 0.027733873309531965}}, 
       {{0.2905987637869217, 1.737115399934339, 0.12900708108021855, 
         0.02751125422880181}}, {{0.28952286214964856, 1.7373584830104547, 
         0.12819678551042102, 0.027291908520398964}}, 
       {{0.28846027543488256, 1.7375974776991034, 0.12739634227580374, 
         0.02707576861504391}}, {{0.28741076561557033, 1.7378324780019767, 
         0.12660557708411943, 0.026862768706565506}}, 
       {{0.28637410017016146, 1.7380635752154943, 0.12582431963671023, 
         0.02665284469671427}}, {{0.2853500519311801, 1.7382908580230316, 
         0.1250524035168934, 0.026445934142653765}}, 
       {{0.2843383989314689, 1.738514412584652, 0.12428966608281733, 
         0.026241976205278218}}, {{0.2833389242639025, 1.7387343226219476, 
         0.12353594836314437, 0.026040911600679374}}, 
       {{0.282351415937885, 1.7389506695008419, 0.12279109495627313, 
         0.0258426825520926}}, {{0.2813756667458068, 1.7391635323102614, 
         0.12205495393307704, 0.025647232744398}}, 
       {{0.2804114741317472, 1.7393729879381372, 0.12132737674229066, 
         0.02545450727977059}}, {{0.2794586400643859, 1.7395791111444647, 
         0.12060821811905198, 0.025264452635078417}}, 
       {{0.2785169709136959, 1.7397819746315826, 0.11989733599670323, 
         0.025077016620561787}}, {{0.2775862773323716, 1.7399816491116817, 
         0.11919459142077413, 0.024892148340152114}}, 
       {{0.2766663741407679, 1.7401782033717594, 0.11849984846602123, 
         0.02470979815314518}}, {{0.2757570802153684, 1.7403717043361528, 
         0.11781297415605564, 0.02452991763699426}}, 
       {{0.2748582183795625, 1.7405622171269075, 0.11713383838532114, 
         0.024352459551414244}}, {{0.2739696153000462, 1.7407498051215369, 
         0.11646231384359629, 0.024177377803970328}}, 
       {{0.27309110138605563, 1.7409345300087118, 0.11579827594263725, 
         0.02400462741667497}}, {{0.2722225106878288, 1.7411164518424695, 
         0.11514160274554679, 0.023834164493326874}}, 
       {{0.27136368080496764, 1.741295629093404, 0.11449217489759839, 
         0.02366594618873567}}, {{0.27051445279240677, 1.7414721186987716, 
         0.1138498755597152, 0.023499930678174193}}, 
       {{0.2696746710690907, 1.7416459761107959, 0.11321459034379132, 
         0.023336077128397095}}, {{0.2688441833348638, 1.741817255342389, 
         0.11258620724988923, 0.02317434566943567}}, 
       {{0.26802284048261005, 1.7419860090123431, 0.11196461660535448, 
         0.023014697367177133}}, {{0.26721049651849815, 1.7421522883880498, 
         0.11134971100587901, 0.022857094197046894}}, 
       {{0.26640700848244736, 1.742316143427039, 0.11074138525807962, 
         0.022701499018508542}}, {{0.26561223637071885, 1.7424776228170766, 
         0.1101395363240029, 0.022547875550325988}}, 
       {{0.2648260430607098, 1.7426367740148454, 0.10954406326720308, 
         0.022396188346595916}}, {{0.26404829424102083, 1.7427936432828222, 
         0.10895486720024423, 0.02224640277383413}}, 
       {{0.2632788583373781, 1.7429482757257937, 0.10837185123395307, 
         0.02209848498831333}}, {{0.2625176064483559, 1.743100715324939, 
         0.10779492042808608, 0.021952401914576238}}}, {Automatic}][b]
 
transitionAmplitude[3/2, 1, -1, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
      {{{0., 1.214033891656788, 1.2140787883019843, 0.414187947658382}}, 
       {{0., 1.188440589943543, 1.2379289504763342, 0.41780154143900466}}, 
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       {{0., 0.08754189245142154, 1.7523354216908893, 0.2026678001929272}}}, 
      {Automatic}][b]
 
transitionAmplitude[1/2, 1, 1, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
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        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
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        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
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        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
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       {{0.069226874787119, 0.008414561480226337, 0., 1.764809928928299}}}, 
      {Automatic}][b]
 
transitionAmplitude[1/2, 1, 0, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
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        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
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         1.76320778906725}}, {{0.10062543868208525, 0.009639499046730492, 
         0.013371256862216423, 1.7632413507287352}}, 
       {{0.10013223518001059, 0.009618895208423132, 0.012737951207064595, 
         1.7632742291582084}}, {{0.09964365901997319, 0.0095982189003262, 
         0.012110654990524826, 1.7633064389743371}}, 
       {{0.09915964845494671, 0.009577474983788798, 0.011489287575148487, 
         1.7633379944423149}}, {{0.09868014276128317, 0.009556668163499869, 
         0.010873769676498977, 1.76336890948345}}, 
       {{0.09820508221967897, 0.009535802991745303, 0.010264023340412994, 
         1.7633991976844043}}, {{0.09773440809663883, 0.009514883873421325, 
         0.009659971916049519, 1.7634288723061844}}, 
       {{0.09726806262596639, 0.009493915070487255, 0.009061540031028732, 
         1.7634579462928783}}, {{0.09680598899068764, 0.009472900706500625, 
         0.00846865356667756, 1.7634864322801327}}, 
       {{0.09634813130563083, 0.009451844770665055, 0.007881239635141002, 
         1.7635143426033602}}, {{0.09589443459983299, 0.00943075112214915, 
         0.007299226554936745, 1.763541689305743}}, 
       {{0.09544484479957545, 0.009409623494161499, 0.006722543827741626, 
         1.7635684841459858}}, {{0.09499930871174474, 0.009388465497687829, 
         0.006151122116117176, 1.7635947386058413}}, 
       {{0.09455777400740571, 0.00936728062517595, 0.005584893222202172, 
         1.7636204638974218}}, {{0.09412018920573519, 0.009346072254410396, 
         0.005023790064766817, 1.7636456709703001}}, 
       {{0.09368650365815392, 0.009324843652079487, 0.004467746657365709, 
         1.7636703705184213}}, {{0.0932566675331514, 0.00930359797675288, 
         0.003916698090813032, 1.7636945729867652}}, 
       {{0.09283063180079888, 0.009282338282766351, 0.0033705805087111216, 
         1.7637182885778864}}, {{0.09240834821806454, 0.0092610675229661, 
         0.002829331089815526, 1.7637415272582126}}, 
       {{0.09198976931422255, 0.009239788552080953, 0.002292888028874975, 
         1.763764298764186}}, {{0.09157484837652079, 0.009218504129701346, 
         0.0017611905151615878, 1.7637866126082264}}, 
       {{0.0911635394361532, 0.009197216923095048, 0.0012341787160615946, 
         1.763808478084524}}, {{0.09075579725460141, 0.009175929510059456, 
         0.0007117937575841541, 1.7638299042746608}}, 
       {{0.09035157731005922, 0.009154644381734262, 0.00019397770606440192, 
         1.7638509000530862}}, {{0.0899508357843018, 0.009133363945187482, 
         0.00031932644884502526, 1.7638714740924222}}, 
       {{0.08955352954977386, 0.009112090525904875, 0.0008281748108633828, 
         1.7638916348686253}}, {{0.08915961615678342, 0.009090826370536233, 
         0.001332622596520271, 1.763911390666009}}, 
       {{0.08876905382114908, 0.009069573649000556, 0.001832724148272022, 
         1.7639307495821153}}, {{0.08838180141202033, 0.009048334456989462, 
         0.0023285329538363106, 1.763949719532449}}}, {Automatic}][b]
 
transitionAmplitude[1/2, 1, -1, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
      {{{0., 0.29286568694399406, 0.29288452575475277, 1.716934941768569}}, 
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       {{0., 0.0406315499100799, 0.22126597950815483, 1.7518012711908295}}, 
       {{0., 0.04021900526945121, 0.2207040890904248, 1.7518816703634714}}, 
       {{0., 0.039813110647423454, 0.22014744799300762, 1.7519609777744327}}, 
       {{0., 0.03941372528743517, 0.21959599095154703, 1.752039214543607}}, 
       {{0., 0.0390207120177395, 0.21904965352351938, 1.752116401272033}}, 
       {{0., 0.038633937147901073, 0.21850837208371413, 1.752192558057299}}, 
       {{0., 0.03825327036834682, 0.2179720838218226, 1.7522677045081054}}, 
       {{0., 0.037878584653140125, 0.217440726740126, 1.7523418597582516}}, 
       {{0., 0.03750975616576778, 0.21691423964692638, 1.7524150424806288}}, 
       {{0., 0.03714666416775296, 0.21639256215428943, 1.7524872709001673}}, 
       {{0., 0.03678919093023748, 0.21587563466979273, 1.7525585628070226}}, 
       {{0., 0.036437221648234715, 0.21536339839427213, 1.7526289355685745}}, 
       {{0., 0.03609064435753192, 0.21485579531153506, 1.752698406141943}}, 
       {{0., 0.03574934985423555, 0.21435276818758367, 1.7527669910849315}}, 
       {{0., 0.03541323161672566, 0.21385426055953569, 1.752834706567792}}, 
       {{0., 0.03508218573003791, 0.21336021672954605, 1.7529015683840121}}, 
       {{0., 0.03475611081273007, 0.21287058176001925, 1.7529675919605388}}, 
       {{0., 0.0344349079456312, 0.21238530146222157, 1.7530327923684663}}, 
       {{0., 0.03411848060329985, 0.2119043223930763, 1.7530971843323628}}, 
       {{0., 0.03380673458715065, 0.21142759184405918, 1.7531607822402309}}, 
       {{0., 0.033499577960884284, 0.2109550578353396, 1.7532236001525112}}, 
       {{0., 0.033196920987726655, 0.21048666910607444, 1.7532856518112412}}, 
       {{0., 0.03289867606978493, 0.21002237510844982, 1.7533469506484642}}, 
       {{0., 0.03260475768907943, 0.20956212599668017, 1.7534075097949684}}, 
       {{0., 0.03231508235050594, 0.20910587262172664, 1.753467342088067}}, 
       {{0., 0.03202956852647871, 0.20865356652099254, 1.753526460079711}}, 
       {{0., 0.031748136603036936, 0.20820515990955757, 1.7535848760441783}}, 
       {{0., 0.03147070882815988, 0.2077606056733279, 1.7536426019852824}}, 
       {{0., 0.03119720926096166, 0.20731985735939185, 1.7536996496436932}}, 
       {{0., 0.030927563723014362, 0.2068828691684647, 1.7537560305037831}}, 
       {{0., 0.030661699750600003, 0.20644959594503312, 1.7538117558005317}}, 
       {{0., 0.030399546548813654, 0.2060199931699195, 1.7538668365259382}}, 
       {{0., 0.030141034946934635, 0.20559401695136376, 1.7539212834354152}}, 
       {{0., 0.029886097354959944, 0.20517162401804928, 1.7539751070537721}}, 
       {{0., 0.02963466772162391, 0.20475277170681142, 1.7540283176816198}}, 
       {{0., 0.029386681493637757, 0.20433741795866073, 1.7540809254006449}}, 
       {{0., 0.029142075576011523, 0.20392552130798156, 1.7541329400795123}}, 
       {{0., 0.028900788293854836, 0.2035170408755811, 1.754184371379145}}, 
       {{0., 0.0286627593548335, 0.2031119363579882, 1.7542352287582987}}, 
       {{0., 0.028427929813181124, 0.20271016802209843, 1.7542855214783586}}, 
       {{0., 0.028196242034559265, 0.20231169669562316, 1.7543352586084764}}, 
       {{0., 0.027967639661924667, 0.20191648375923735, 1.754384449030386}}, 
       {{0., 0.027742067582437812, 0.20152449113749754, 
         1.7544331014432075}}}, {Automatic}][b]
 
transitionAmplitude[1/2, 0, 0, b_] = InterpolatingFunction[{{0., 0.0199}}, 
      {5, 3, 0, {200}, {4}, 0, 0, 0, 0, Automatic, {}, {}, False}, 
      {{0., 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, 0.0006, 0.0007, 0.0008, 
        0.0009, 0.001, 0.0011, 0.0012, 0.0013, 0.0014, 0.0015, 0.0016, 
        0.0017, 0.0018, 0.0019, 0.002, 0.0021, 0.0022, 0.0023, 0.0024, 
        0.0025, 0.0026, 0.0027, 0.0028, 0.0029, 0.003, 0.0031, 0.0032, 
        0.0033, 0.0034, 0.0035, 0.0036, 0.0037, 0.0038, 0.0039, 0.004, 
        0.0041, 0.0042, 0.0043, 0.0044, 0.0045, 0.0046, 0.0047, 0.0048, 
        0.0049, 0.005, 0.0051, 0.0052, 0.0053, 0.0054, 0.0055, 0.0056, 
        0.0057, 0.0058, 0.0059, 0.006, 0.0061, 0.0062, 0.0063, 0.0064, 
        0.0065, 0.0066, 0.0067, 0.0068, 0.0069, 0.007, 0.0071, 0.0072, 
        0.0073, 0.0074, 0.0075, 0.0076, 0.0077, 0.0078, 0.0079, 0.008, 
        0.0081, 0.0082, 0.0083, 0.0084, 0.0085, 0.0086, 0.0087, 0.0088, 
        0.0089, 0.009, 0.0091, 0.0092, 0.0093, 0.0094, 0.0095, 0.0096, 
        0.0097, 0.0098, 0.0099, 0.01, 0.0101, 0.0102, 0.0103, 0.0104, 0.0105, 
        0.0106, 0.0107, 0.0108, 0.0109, 0.011, 0.0111, 0.0112, 0.0113, 
        0.0114, 0.0115, 0.0116, 0.0117, 0.0118, 0.0119, 0.012, 0.0121, 
        0.0122, 0.0123, 0.0124, 0.0125, 0.0126, 0.0127, 0.0128, 0.0129, 
        0.013, 0.0131, 0.0132, 0.0133, 0.0134, 0.0135, 0.0136, 0.0137, 
        0.0138, 0.0139, 0.014, 0.0141, 0.0142, 0.0143, 0.0144, 0.0145, 
        0.0146, 0.0147, 0.0148, 0.0149, 0.015, 0.0151, 0.0152, 0.0153, 
        0.0154, 0.0155, 0.0156, 0.0157, 0.0158, 0.0159, 0.016, 0.0161, 
        0.0162, 0.0163, 0.0164, 0.0165, 0.0166, 0.0167, 0.0168, 0.0169, 
        0.017, 0.0171, 0.0172, 0.0173, 0.0174, 0.0175, 0.0176, 0.0177, 
        0.0178, 0.0179, 0.018, 0.0181, 0.0182, 0.0183, 0.0184, 0.0185, 
        0.0186, 0.0187, 0.0188, 0.0189, 0.019, 0.0191, 0.0192, 0.0193, 
        0.0194, 0.0195, 0.0196, 0.0197, 0.0198, 0.0199}}, 
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