G4ParticleHPFastLegendre_14.cc

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// neutron_hp -- source file
// J.P. Wellisch, Nov-1996
// A prototype of the low energy neutron transport model.
// P. Arce, June-2014 Conversion neutron_hp to particle_hp
//
#include "G4ParticleHPFastLegendre.hh"

const G4double
  G4ParticleHPFastLegendre::l14[3001] = {1, 0.931204, 0.864781,
  0.800676, 0.738836, 0.679211, 0.621748, 0.566398, 0.513111,
  0.461839, 0.412535, 0.36515, 0.319639, 0.275958, 0.23406, 0.193903,
  0.155444, 0.11864, 0.0834497, 0.0498324, 0.017748, -0.0128428,
  -0.0419788, -0.0696977, -0.0960371, -0.121033, -0.144723, -0.16714,
  -0.18832, -0.208297, -0.227105, -0.244775, -0.261341, -0.276833,
  -0.291284, -0.304722, -0.317178, -0.328681, -0.33926, -0.348943,
  -0.357758, -0.365731, -0.372889, -0.379258, -0.384863, -0.38973,
  -0.393883, -0.397346, -0.400142, -0.402294, -0.403825, -0.404757,
  -0.405111, -0.404909, -0.404172, -0.402919, -0.40117, -0.398945,
  -0.396263, -0.393143, -0.389602, -0.385658, -0.381329, -0.376631,
  -0.371582, -0.366198, -0.360493, -0.354485, -0.348187, -0.341615,
  -0.334783, -0.327705, -0.320396, -0.312867, -0.305134, -0.297207,
  -0.2891, -0.280825, -0.272393, -0.263816, -0.255106, -0.246273,
  -0.237328, -0.228282, -0.219144, -0.209924, -0.200632, -0.191277,
  -0.181868, -0.172414, -0.162923, -0.153404, -0.143865, -0.134314,
  -0.124757, -0.115203, -0.105658, -0.0961304, -0.0866255, -0.0771502,
  -0.0677107, -0.0583131, -0.0489633, -0.0396669, -0.0304293,
  -0.0212558, -0.0121515, -0.00312135, 0.00583006, 0.0146981,
  0.0234785, 0.032167, 0.0407596, 0.0492525, 0.0576418, 0.0659241,
  0.0740961, 0.0821543, 0.0900959, 0.0979177, 0.105617, 0.113191,
  0.120638, 0.127954, 0.135138, 0.142188, 0.149101, 0.155876, 0.16251,
  0.169003, 0.175352, 0.181557, 0.187615, 0.193527, 0.199289,
  0.204903, 0.210365, 0.215677, 0.220837, 0.225845, 0.230699, 0.2354,
  0.239947, 0.244341, 0.24858, 0.252664, 0.256594, 0.26037, 0.263992,
  0.267459, 0.270773, 0.273933, 0.27694, 0.279795, 0.282498, 0.285049,
  0.287449, 0.289699, 0.2918, 0.293752, 0.295556, 0.297214, 0.298726,
  0.300093, 0.301316, 0.302396, 0.303336, 0.304134, 0.304794,
  0.305316, 0.305701, 0.305951, 0.306067, 0.306051, 0.305904,
  0.305627, 0.305223, 0.304692, 0.304036, 0.303256, 0.302355,
  0.301334, 0.300195, 0.298938, 0.297567, 0.296082, 0.294486, 0.29278,
  0.290965, 0.289045, 0.28702, 0.284892, 0.282663, 0.280336, 0.277911,
  0.27539, 0.272777, 0.270071, 0.267276, 0.264393, 0.261424, 0.258372,
  0.255236, 0.252021, 0.248727, 0.245357, 0.241913, 0.238396,
  0.234808, 0.231151, 0.227427, 0.223639, 0.219787, 0.215874,
  0.211902, 0.207873, 0.203788, 0.199649, 0.195459, 0.191219,
  0.186931, 0.182596, 0.178218, 0.173797, 0.169335, 0.164835,
  0.160297, 0.155725, 0.151119, 0.146481, 0.141814, 0.137118,
  0.132396, 0.12765, 0.122881, 0.11809, 0.11328, 0.108452, 0.103608,
  0.0987501, 0.0938789, 0.0889965, 0.0841045, 0.0792044, 0.074298,
  0.0693867, 0.0644721, 0.0595557, 0.054639, 0.0497235, 0.0448108,
  0.0399022, 0.0349992, 0.0301033, 0.0252158, 0.0203382, 0.0154718,
  0.010618, 0.00577811, 0.000953485, -0.00385458, -0.00864481,
  -0.0134159, -0.0181667, -0.0228958, -0.0276022, -0.0322846,
  -0.0369418, -0.0415726, -0.0461761, -0.0507509, -0.0552961,
  -0.0598105, -0.0642931, -0.0687428, -0.0731586, -0.0775396,
  -0.0818847, -0.086193, -0.0904635, -0.0946953, -0.0988875,
  -0.103039, -0.10715, -0.111218, -0.115243, -0.119224, -0.123161,
  -0.127052, -0.130897, -0.134695, -0.138446, -0.142148, -0.145801,
  -0.149405, -0.152958, -0.156461, -0.159911, -0.16331, -0.166656,
  -0.169949, -0.173189, -0.176373, -0.179504, -0.182579, -0.185598,
  -0.188561, -0.191468, -0.194318, -0.19711, -0.199845, -0.202521,
  -0.20514, -0.207699, -0.2102, -0.212641, -0.215023, -0.217345,
  -0.219607, -0.221808, -0.22395, -0.22603, -0.22805, -0.230009,
  -0.231906, -0.233743, -0.235518, -0.237231, -0.238883, -0.240474,
  -0.242003, -0.24347, -0.244876, -0.24622, -0.247502, -0.248722,
  -0.249881, -0.250979, -0.252015, -0.252989, -0.253903, -0.254754,
  -0.255545, -0.256275, -0.256944, -0.257553, -0.258101, -0.258588,
  -0.259016, -0.259383, -0.259691, -0.259939, -0.260128, -0.260258,
  -0.26033, -0.260343, -0.260297, -0.260194, -0.260033, -0.259815,
  -0.25954, -0.259209, -0.258821, -0.258377, -0.257877, -0.257323,
  -0.256713, -0.25605, -0.255332, -0.25456, -0.253736, -0.252858,
  -0.251928, -0.250947, -0.249913, -0.248829, -0.247694, -0.24651,
  -0.245275, -0.243992, -0.242659, -0.241279, -0.239851, -0.238376,
  -0.236855, -0.235287, -0.233674, -0.232015, -0.230312, -0.228566,
  -0.226776, -0.224943, -0.223067, -0.221151, -0.219192, -0.217194,
  -0.215155, -0.213077, -0.21096, -0.208805, -0.206613, -0.204383,
  -0.202117, -0.199814, -0.197477, -0.195105, -0.192699, -0.19026,
  -0.187788, -0.185284, -0.182748, -0.180181, -0.177584, -0.174958,
  -0.172302, -0.169618, -0.166907, -0.164168, -0.161403, -0.158611,
  -0.155795, -0.152954, -0.150089, -0.147201, -0.144291, -0.141358,
  -0.138404, -0.135429, -0.132435, -0.12942, -0.126387, -0.123336,
  -0.120268, -0.117182, -0.114081, -0.110964, -0.107831, -0.104685,
  -0.101525, -0.0983521, -0.0951667, -0.0919696, -0.0887614,
  -0.0855427, -0.0823141, -0.0790764, -0.0758301, -0.0725757,
  -0.0693141, -0.0660457, -0.0627713, -0.0594913, -0.0562064,
  -0.0529173, -0.0496246, -0.0463287, -0.0430305, -0.0397304,
  -0.036429, -0.0331269, -0.0298248, -0.0265232, -0.0232227,
  -0.0199239, -0.0166274, -0.0133337, -0.0100434, -0.00675703,
  -0.00347523, -0.000198532, 0.00307252, 0.00633737, 0.00959546,
  0.0128463, 0.0160892, 0.0193238, 0.0225495, 0.0257658, 0.0289721,
  0.0321679, 0.0353527, 0.038526, 0.0416874, 0.0448362, 0.047972,
  0.0510944, 0.0542027, 0.0572966, 0.0603755, 0.0634391, 0.0664867,
  0.069518, 0.0725325, 0.0755298, 0.0785093, 0.0814707, 0.0844136,
  0.0873374, 0.0902417, 0.0931262, 0.0959904, 0.098834, 0.101656,
  0.104457, 0.107236, 0.109993, 0.112727, 0.115438, 0.118126, 0.12079,
  0.123429, 0.126044, 0.128635, 0.1312, 0.133739, 0.136253, 0.138741,
  0.141202, 0.143636, 0.146043, 0.148422, 0.150774, 0.153097,
  0.155393, 0.157659, 0.159897, 0.162106, 0.164285, 0.166434,
  0.168554, 0.170643, 0.172702, 0.17473, 0.176727, 0.178693, 0.180628,
  0.182531, 0.184403, 0.186242, 0.188049, 0.189824, 0.191567,
  0.193276, 0.194953, 0.196597, 0.198207, 0.199784, 0.201327,
  0.202837, 0.204313, 0.205755, 0.207163, 0.208537, 0.209876,
  0.211182, 0.212452, 0.213688, 0.214889, 0.216055, 0.217187,
  0.218283, 0.219345, 0.220371, 0.221363, 0.222319, 0.223239,
  0.224125, 0.224975, 0.22579, 0.226569, 0.227313, 0.228022, 0.228695,
  0.229332, 0.229934, 0.230501, 0.231032, 0.231528, 0.231988,
  0.232413, 0.232803, 0.233157, 0.233476, 0.23376, 0.234009, 0.234223,
  0.234401, 0.234544, 0.234653, 0.234727, 0.234765, 0.23477, 0.234739,
  0.234674, 0.234575, 0.234441, 0.234273, 0.234071, 0.233835,
  0.233565, 0.233262, 0.232924, 0.232554, 0.23215, 0.231712, 0.231242,
  0.230739, 0.230203, 0.229634, 0.229033, 0.2284, 0.227734, 0.227037,
  0.226308, 0.225547, 0.224755, 0.223932, 0.223077, 0.222192,
  0.221277, 0.22033, 0.219354, 0.218348, 0.217312, 0.216246, 0.215151,
  0.214027, 0.212873, 0.211692, 0.210481, 0.209243, 0.207977,
  0.206683, 0.205361, 0.204012, 0.202636, 0.201234, 0.199805,
  0.198349, 0.196868, 0.195361, 0.193829, 0.192271, 0.190689,
  0.189082, 0.18745, 0.185795, 0.184116, 0.182413, 0.180687, 0.178938,
  0.177167, 0.175373, 0.173557, 0.171719, 0.16986, 0.16798, 0.166078,
  0.164157, 0.162215, 0.160253, 0.158271, 0.15627, 0.15425, 0.152212,
  0.150154, 0.148079, 0.145986, 0.143876, 0.141748, 0.139604,
  0.137443, 0.135266, 0.133073, 0.130865, 0.128642, 0.126403, 0.12415,
  0.121883, 0.119602, 0.117307, 0.115, 0.112679, 0.110346, 0.108,
  0.105643, 0.103274, 0.100893, 0.0985024, 0.0961008, 0.0936889,
  0.0912671, 0.0888358, 0.0863953, 0.0839459, 0.081488, 0.0790218,
  0.0765478, 0.0740663, 0.0715775, 0.0690819, 0.0665798, 0.0640714,
  0.0615572, 0.0590375, 0.0565126, 0.0539829, 0.0514486, 0.0489101,
  0.0463678, 0.043822, 0.041273, 0.0387212, 0.0361668, 0.0336102,
  0.0310518, 0.0284918, 0.0259307, 0.0233686, 0.0208061, 0.0182432,
  0.0156805, 0.0131182, 0.0105567, 0.00799625, 0.00543717, 0.00287981,
  0.000324482, -0.0022285, -0.00477882, -0.00732616, -0.0098702,
  -0.0124106, -0.0149472, -0.0174794, -0.0200072, -0.0225301,
  -0.0250479, -0.0275602, -0.0300667, -0.0325672, -0.0350613,
  -0.0375488, -0.0400293, -0.0425026, -0.0449683, -0.0474262,
  -0.049876, -0.0523173, -0.05475, -0.0571736, -0.059588, -0.0619929,
  -0.064388, -0.0667729, -0.0691474, -0.0715114, -0.0738644,
  -0.0762062, -0.0785365, -0.0808551, -0.0831618, -0.0854562,
  -0.087738, -0.0900072, -0.0922633, -0.0945061, -0.0967355,
  -0.098951, -0.101153, -0.10334, -0.105513, -0.107671, -0.109814,
  -0.111942, -0.114054, -0.116151, -0.118232, -0.120297, -0.122345,
  -0.124377, -0.126393, -0.128391, -0.130372, -0.132335, -0.134281,
  -0.13621, -0.13812, -0.140012, -0.141885, -0.14374, -0.145577,
  -0.147394, -0.149192, -0.150971, -0.15273, -0.154469, -0.156189,
  -0.157888, -0.159568, -0.161227, -0.162865, -0.164483, -0.166079,
  -0.167655, -0.16921, -0.170743, -0.172255, -0.173745, -0.175214,
  -0.17666, -0.178085, -0.179487, -0.180867, -0.182225, -0.18356,
  -0.184872, -0.186162, -0.187429, -0.188672, -0.189893, -0.19109,
  -0.192264, -0.193415, -0.194542, -0.195646, -0.196725, -0.197781,
  -0.198813, -0.199821, -0.200806, -0.201765, -0.202701, -0.203612,
  -0.204499, -0.205362, -0.2062, -0.207014, -0.207803, -0.208567,
  -0.209307, -0.210022, -0.210712, -0.211377, -0.212017, -0.212633,
  -0.213223, -0.213789, -0.214329, -0.214845, -0.215335, -0.2158,
  -0.216241, -0.216656, -0.217046, -0.21741, -0.21775, -0.218065,
  -0.218354, -0.218618, -0.218857, -0.219071, -0.21926, -0.219424,
  -0.219563, -0.219676, -0.219765, -0.219828, -0.219867, -0.21988,
  -0.219869, -0.219833, -0.219771, -0.219685, -0.219575, -0.219439,
  -0.219279, -0.219094, -0.218885, -0.218651, -0.218393, -0.21811,
  -0.217803, -0.217471, -0.217116, -0.216736, -0.216332, -0.215904,
  -0.215453, -0.214977, -0.214478, -0.213955, -0.213409, -0.212839,
  -0.212246, -0.211629, -0.210989, -0.210326, -0.209641, -0.208932,
  -0.2082, -0.207446, -0.206669, -0.20587, -0.205049, -0.204205,
  -0.20334, -0.202452, -0.201542, -0.200611, -0.199658, -0.198684,
  -0.197688, -0.196672, -0.195634, -0.194575, -0.193496, -0.192396,
  -0.191275, -0.190134, -0.188973, -0.187792, -0.186591, -0.18537,
  -0.18413, -0.18287, -0.181592, -0.180294, -0.178977, -0.177641,
  -0.176287, -0.174914, -0.173523, -0.172114, -0.170687, -0.169243,
  -0.16778, -0.166301, -0.164804, -0.16329, -0.161759, -0.160212,
  -0.158648, -0.157068, -0.155472, -0.15386, -0.152232, -0.150589,
  -0.148931, -0.147257, -0.145568, -0.143865, -0.142147, -0.140414,
  -0.138668, -0.136908, -0.135134, -0.133346, -0.131545, -0.129731,
  -0.127904, -0.126064, -0.124212, -0.122348, -0.120471, -0.118583,
  -0.116683, -0.114771, -0.112848, -0.110915, -0.10897, -0.107015,
  -0.10505, -0.103074, -0.101089, -0.0990934, -0.0970887, -0.0950748,
  -0.0930519, -0.0910201, -0.0889798, -0.086931, -0.0848742,
  -0.0828094, -0.080737, -0.078657, -0.0765699, -0.0744757,
  -0.0723747, -0.0702672, -0.0681533, -0.0660333, -0.0639075,
  -0.061776, -0.0596391, -0.0574969, -0.0553498, -0.053198,
  -0.0510417, -0.0488811, -0.0467164, -0.0445479, -0.0423758,
  -0.0402004, -0.0380218, -0.0358403, -0.0336561, -0.0314695,
  -0.0292807, -0.0270899, -0.0248973, -0.0227032, -0.0205078,
  -0.0183113, -0.0161139, -0.013916, -0.0117176, -0.00951913,
  -0.00732067, -0.00512251, -0.00292486, -0.000727956, 0.00146799,
  0.00366274, 0.00585607, 0.00804777, 0.0102376, 0.0124254, 0.0146108,
  0.0167937, 0.0189739, 0.021151, 0.023325, 0.0254956, 0.0276626,
  0.0298257, 0.0319847, 0.0341394, 0.0362897, 0.0384352, 0.0405758,
  0.0427112, 0.0448413, 0.0469658, 0.0490846, 0.0511973, 0.0533039,
  0.055404, 0.0574975, 0.0595842, 0.0616639, 0.0637363, 0.0658013,
  0.0678586, 0.0699081, 0.0719495, 0.0739827, 0.0760075, 0.0780236,
  0.0800308, 0.0820291, 0.0840181, 0.0859976, 0.0879676, 0.0899278,
  0.0918779, 0.0938179, 0.0957475, 0.0976665, 0.0995749, 0.101472,
  0.103359, 0.105234, 0.107097, 0.108949, 0.110789, 0.112617,
  0.114433, 0.116236, 0.118028, 0.119806, 0.121571, 0.123324,
  0.125063, 0.126789, 0.128502, 0.1302, 0.131885, 0.133556, 0.135213,
  0.136856, 0.138484, 0.140097, 0.141696, 0.14328, 0.144849, 0.146402,
  0.14794, 0.149463, 0.15097, 0.152462, 0.153937, 0.155397, 0.15684,
  0.158267, 0.159678, 0.161072, 0.16245, 0.16381, 0.165154, 0.166481,
  0.16779, 0.169083, 0.170358, 0.171615, 0.172855, 0.174077, 0.175281,
  0.176467, 0.177636, 0.178786, 0.179918, 0.181031, 0.182126,
  0.183203, 0.184261, 0.1853, 0.18632, 0.187322, 0.188304, 0.189268,
  0.190212, 0.191137, 0.192043, 0.19293, 0.193797, 0.194644, 0.195472,
  0.19628, 0.197069, 0.197837, 0.198586, 0.199315, 0.200024, 0.200713,
  0.201382, 0.202031, 0.202659, 0.203268, 0.203856, 0.204423,
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  0.229033, 0.229634, 0.230203, 0.230739, 0.231242, 0.231712, 0.23215,
  0.232554, 0.232924, 0.233262, 0.233565, 0.233835, 0.234071,
  0.234273, 0.234441, 0.234575, 0.234674, 0.234739, 0.23477, 0.234765,
  0.234727, 0.234653, 0.234544, 0.234401, 0.234223, 0.234009, 0.23376,
  0.233476, 0.233157, 0.232803, 0.232413, 0.231988, 0.231528,
  0.231032, 0.230501, 0.229934, 0.229332, 0.228695, 0.228022,
  0.227313, 0.226569, 0.22579, 0.224975, 0.224125, 0.223239, 0.222319,
  0.221363, 0.220371, 0.219345, 0.218283, 0.217187, 0.216055,
  0.214889, 0.213688, 0.212452, 0.211182, 0.209876, 0.208537,
  0.207163, 0.205755, 0.204313, 0.202837, 0.201327, 0.199784,
  0.198207, 0.196597, 0.194953, 0.193276, 0.191567, 0.189824,
  0.188049, 0.186242, 0.184403, 0.182531, 0.180628, 0.178693,
  0.176727, 0.17473, 0.172702, 0.170643, 0.168554, 0.166434, 0.164285,
  0.162106, 0.159897, 0.157659, 0.155393, 0.153097, 0.150774,
  0.148422, 0.146043, 0.143636, 0.141202, 0.138741, 0.136253,
  0.133739, 0.1312, 0.128635, 0.126044, 0.123429, 0.12079, 0.118126,
  0.115438, 0.112727, 0.109993, 0.107236, 0.104457, 0.101656,
  0.098834, 0.0959904, 0.0931262, 0.0902417, 0.0873374, 0.0844136,
  0.0814707, 0.0785093, 0.0755298, 0.0725325, 0.069518, 0.0664867,
  0.0634391, 0.0603755, 0.0572966, 0.0542027, 0.0510944, 0.047972,
  0.0448362, 0.0416874, 0.038526, 0.0353527, 0.0321679, 0.0289721,
  0.0257658, 0.0225495, 0.0193238, 0.0160892, 0.0128463, 0.00959546,
  0.00633737, 0.00307252, -0.000198532, -0.00347523, -0.00675703,
  -0.0100434, -0.0133337, -0.0166274, -0.0199239, -0.0232227,
  -0.0265232, -0.0298248, -0.0331269, -0.036429, -0.0397304,
  -0.0430305, -0.0463287, -0.0496246, -0.0529173, -0.0562064,
  -0.0594913, -0.0627713, -0.0660457, -0.0693141, -0.0725757,
  -0.0758301, -0.0790764, -0.0823141, -0.0855427, -0.0887614,
  -0.0919696, -0.0951667, -0.0983521, -0.101525, -0.104685, -0.107831,
  -0.110964, -0.114081, -0.117182, -0.120268, -0.123336, -0.126387,
  -0.12942, -0.132435, -0.135429, -0.138404, -0.141358, -0.144291,
  -0.147201, -0.150089, -0.152954, -0.155795, -0.158611, -0.161403,
  -0.164168, -0.166907, -0.169618, -0.172302, -0.174958, -0.177584,
  -0.180181, -0.182748, -0.185284, -0.187788, -0.19026, -0.192699,
  -0.195105, -0.197477, -0.199814, -0.202117, -0.204383, -0.206613,
  -0.208805, -0.21096, -0.213077, -0.215155, -0.217194, -0.219192,
  -0.221151, -0.223067, -0.224943, -0.226776, -0.228566, -0.230312,
  -0.232015, -0.233674, -0.235287, -0.236855, -0.238376, -0.239851,
  -0.241279, -0.242659, -0.243992, -0.245275, -0.24651, -0.247694,
  -0.248829, -0.249913, -0.250947, -0.251928, -0.252858, -0.253736,
  -0.25456, -0.255332, -0.25605, -0.256713, -0.257323, -0.257877,
  -0.258377, -0.258821, -0.259209, -0.25954, -0.259815, -0.260033,
  -0.260194, -0.260297, -0.260343, -0.26033, -0.260258, -0.260128,
  -0.259939, -0.259691, -0.259383, -0.259016, -0.258588, -0.258101,
  -0.257553, -0.256944, -0.256275, -0.255545, -0.254754, -0.253903,
  -0.252989, -0.252015, -0.250979, -0.249881, -0.248722, -0.247502,
  -0.24622, -0.244876, -0.24347, -0.242003, -0.240474, -0.238883,
  -0.237231, -0.235518, -0.233743, -0.231906, -0.230009, -0.22805,
  -0.22603, -0.22395, -0.221808, -0.219607, -0.217345, -0.215023,
  -0.212641, -0.2102, -0.207699, -0.20514, -0.202521, -0.199845,
  -0.19711, -0.194318, -0.191468, -0.188561, -0.185598, -0.182579,
  -0.179504, -0.176373, -0.173189, -0.169949, -0.166656, -0.16331,
  -0.159911, -0.156461, -0.152958, -0.149405, -0.145801, -0.142148,
  -0.138446, -0.134695, -0.130897, -0.127052, -0.123161, -0.119224,
  -0.115243, -0.111218, -0.10715, -0.103039, -0.0988875, -0.0946953,
  -0.0904635, -0.086193, -0.0818847, -0.0775396, -0.0731586,
  -0.0687428, -0.0642931, -0.0598105, -0.0552961, -0.0507509,
  -0.0461761, -0.0415726, -0.0369418, -0.0322846, -0.0276022,
  -0.0228958, -0.0181667, -0.0134159, -0.00864481, -0.00385458,
  0.000953485, 0.00577811, 0.010618, 0.0154718, 0.0203382, 0.0252158,
  0.0301033, 0.0349992, 0.0399022, 0.0448108, 0.0497235, 0.054639,
  0.0595557, 0.0644721, 0.0693867, 0.074298, 0.0792044, 0.0841045,
  0.0889965, 0.0938789, 0.0987501, 0.103608, 0.108452, 0.11328,
  0.11809, 0.122881, 0.12765, 0.132396, 0.137118, 0.141814, 0.146481,
  0.151119, 0.155725, 0.160297, 0.164835, 0.169335, 0.173797,
  0.178218, 0.182596, 0.186931, 0.191219, 0.195459, 0.199649,
  0.203788, 0.207873, 0.211902, 0.215874, 0.219787, 0.223639,
  0.227427, 0.231151, 0.234808, 0.238396, 0.241913, 0.245357,
  0.248727, 0.252021, 0.255236, 0.258372, 0.261424, 0.264393,
  0.267276, 0.270071, 0.272777, 0.27539, 0.277911, 0.280336, 0.282663,
  0.284892, 0.28702, 0.289045, 0.290965, 0.29278, 0.294486, 0.296082,
  0.297567, 0.298938, 0.300195, 0.301334, 0.302355, 0.303256,
  0.304036, 0.304692, 0.305223, 0.305627, 0.305904, 0.306051,
  0.306067, 0.305951, 0.305701, 0.305316, 0.304794, 0.304134,
  0.303336, 0.302396, 0.301316, 0.300093, 0.298726, 0.297214,
  0.295556, 0.293752, 0.2918, 0.289699, 0.287449, 0.285049, 0.282498,
  0.279795, 0.27694, 0.273933, 0.270773, 0.267459, 0.263992, 0.26037,
  0.256594, 0.252664, 0.24858, 0.244341, 0.239947, 0.2354, 0.230699,
  0.225845, 0.220837, 0.215677, 0.210365, 0.204903, 0.199289,
  0.193527, 0.187615, 0.181557, 0.175352, 0.169003, 0.16251, 0.155876,
  0.149101, 0.142188, 0.135138, 0.127954, 0.120638, 0.113191,
  0.105617, 0.0979177, 0.0900959, 0.0821543, 0.0740961, 0.0659241,
  0.0576418, 0.0492525, 0.0407596, 0.032167, 0.0234785, 0.0146981,
  0.00583006, -0.00312135, -0.0121515, -0.0212558, -0.0304293,
  -0.0396669, -0.0489633, -0.0583131, -0.0677107, -0.0771502,
  -0.0866255, -0.0961304, -0.105658, -0.115203, -0.124757, -0.134314,
  -0.143865, -0.153404, -0.162923, -0.172414, -0.181868, -0.191277,
  -0.200632, -0.209924, -0.219144, -0.228282, -0.237328, -0.246273,
  -0.255106, -0.263816, -0.272393, -0.280825, -0.2891, -0.297207,
  -0.305134, -0.312867, -0.320396, -0.327705, -0.334783, -0.341615,
  -0.348187, -0.354485, -0.360493, -0.366198, -0.371582, -0.376631,
  -0.381329, -0.385658, -0.389602, -0.393143, -0.396263, -0.398945,
  -0.40117, -0.402919, -0.404172, -0.404909, -0.405111, -0.404757,
  -0.403825, -0.402294, -0.400142, -0.397346, -0.393883, -0.38973,
  -0.384863, -0.379258, -0.372889, -0.365731, -0.357758, -0.348943,
  -0.33926, -0.328681, -0.317178, -0.304722, -0.291284, -0.276833,
  -0.261341, -0.244775, -0.227105, -0.208297, -0.18832, -0.16714,
  -0.144723, -0.121033, -0.0960371, -0.0696977, -0.0419788,
  -0.0128428, 0.017748, 0.0498324, 0.0834497, 0.11864, 0.155444,
  0.193903, 0.23406, 0.275958, 0.319639, 0.36515, 0.412535, 0.461839,
  0.513111, 0.566398, 0.621748, 0.679211, 0.738836, 0.800676,
  0.864781, 0.931204, 1}; const G4double G4ParticleHPFastLegendre::i14[3001]
  = {0, 0.000643597, 0.00124212, 0.00179715, 0.00231019, 0.00278274,
  0.00321627, 0.0036122, 0.00397192, 0.00429679, 0.00458814,
  0.00484726, 0.00507542, 0.00527385, 0.00544375, 0.00558631,
  0.00570266, 0.00579393, 0.0058612, 0.00590554, 0.00592798,
  0.00592953, 0.00591117, 0.00587387, 0.00581854, 0.00574611,
  0.00565745, 0.00555343, 0.00543487, 0.0053026, 0.0051574,
  0.00500004, 0.00483127, 0.00465182, 0.00446239, 0.00426366,
  0.00405631, 0.00384097, 0.00361827, 0.00338882, 0.0031532,
  0.00291199, 0.00266574, 0.00241498, 0.00216023, 0.00190199,
  0.00164074, 0.00137696, 0.00111109, 0.000843579, 0.000574838,
  0.000305277, 3.52884e-05, -0.00023475, -0.000504474, -0.000773533,
  -0.00104159, -0.00130832, -0.00157342, -0.00183658, -0.00209752,
  -0.00235596, -0.00261164, -0.00286432, -0.00311374, -0.00335969,
  -0.00360193, -0.00384028, -0.00407452, -0.00430447, -0.00452995,
  -0.00475079, -0.00496684, -0.00517794, -0.00538395, -0.00558474,
  -0.00578018, -0.00597017, -0.00615458, -0.00633333, -0.00650631,
  -0.00667344, -0.00683465, -0.00698986, -0.007139, -0.00728203,
  -0.00741889, -0.00754953, -0.00767391, -0.00779201, -0.00790379,
  -0.00800923, -0.00810832, -0.00820105, -0.00828741, -0.00836739,
  -0.00844101, -0.00850827, -0.00856919, -0.00862378, -0.00867207,
  -0.00871407, -0.00874983, -0.00877937, -0.00880273, -0.00881995,
  -0.00883109, -0.00883617, -0.00883526, -0.00882842, -0.00881569,
  -0.00879713, -0.00877282, -0.00874281, -0.00870717, -0.00866598,
  -0.0086193, -0.00856721, -0.00850978, -0.0084471, -0.00837925,
  -0.00830631, -0.00822836, -0.00814549, -0.00805778, -0.00796533,
  -0.00786823, -0.00776656, -0.00766042, -0.00754991, -0.00743512,
  -0.00731614, -0.00719307, -0.00706602, -0.00693507, -0.00680033,
  -0.0066619, -0.00651988, -0.00637436, -0.00622546, -0.00607327,
  -0.0059179, -0.00575944, -0.005598, -0.00543368, -0.00526659,
  -0.00509683, -0.0049245, -0.00474971, -0.00457255, -0.00439313,
  -0.00421155, -0.00402792, -0.00384233, -0.00365489, -0.0034657,
  -0.00327486, -0.00308247, -0.00288863, -0.00269343, -0.00249699,
  -0.00229939, -0.00210074, -0.00190112, -0.00170064, -0.0014994,
  -0.00129748, -0.00109498, -0.000891998, -0.00068862, -0.00048494,
  -0.000281048, -7.70345e-05, 0.000127012, 0.000331005, 0.000534856,
  0.00073848, 0.000941792, 0.00114471, 0.00134715, 0.00154902,
  0.00175026, 0.00195078, 0.00215049, 0.00234934, 0.00254723,
  0.00274409, 0.00293985, 0.00313444, 0.00332778, 0.00351981,
  0.00371045, 0.00389964, 0.00408731, 0.0042734, 0.00445784,
  0.00464057, 0.00482152, 0.00500064, 0.00517787, 0.00535315,
  0.00552642, 0.00569763, 0.00586672, 0.00603364, 0.00619834,
  0.00636076, 0.00652087, 0.00667861, 0.00683393, 0.0069868,
  0.00713715, 0.00728497, 0.00743019, 0.00757279, 0.00771271,
  0.00784994, 0.00798442, 0.00811613, 0.00824502, 0.00837107,
  0.00849425, 0.00861453, 0.00873187, 0.00884625, 0.00895764,
  0.00906602, 0.00917136, 0.00927364, 0.00937284, 0.00946894,
  0.00956192, 0.00965176, 0.00973845, 0.00982196, 0.00990228,
  0.00997941, 0.0100533, 0.010124, 0.0101915, 0.0102557, 0.0103166,
  0.0103743, 0.0104288, 0.0104799, 0.0105278, 0.0105724, 0.0106138,
  0.0106519, 0.0106866, 0.0107182, 0.0107464, 0.0107714, 0.0107931,
  0.0108115, 0.0108267, 0.0108386, 0.0108473, 0.0108528, 0.010855,
  0.0108541, 0.0108499, 0.0108425, 0.010832, 0.0108183, 0.0108015,
  0.0107815, 0.0107584, 0.0107323, 0.010703, 0.0106707, 0.0106354,
  0.010597, 0.0105556, 0.0105113, 0.010464, 0.0104137, 0.0103606,
  0.0103046, 0.0102457, 0.0101839, 0.0101194, 0.0100521, 0.00998204,
  0.00990925, 0.00983376, 0.0097556, 0.00967481, 0.0095914,
  0.00950541, 0.00941688, 0.00932583, 0.0092323, 0.00913631,
  0.00903791, 0.00893712, 0.00883397, 0.00872851, 0.00862077,
  0.00851078, 0.00839857, 0.00828419, 0.00816767, 0.00804904,
  0.00792834, 0.00780561, 0.00768089, 0.00755421, 0.00742561,
  0.00729513, 0.00716281, 0.00702868, 0.00689279, 0.00675518,
  0.00661587, 0.00647492, 0.00633237, 0.00618824, 0.00604259,
  0.00589544, 0.00574685, 0.00559686, 0.00544549, 0.0052928,
  0.00513883, 0.00498361, 0.00482719, 0.0046696, 0.00451089,
  0.0043511, 0.00419027, 0.00402844, 0.00386566, 0.00370196,
  0.00353738, 0.00337197, 0.00320576, 0.00303881, 0.00287114,
  0.0027028, 0.00253383, 0.00236428, 0.00219417, 0.00202356,
  0.00185249, 0.00168098, 0.0015091, 0.00133686, 0.00116432,
  0.000991522, 0.000818494, 0.00064528, 0.000471921, 0.000298455,
  0.000124922, -4.86384e-05, -0.000222188, -0.000395689, -0.000569101,
  -0.000742387, -0.000915509, -0.00108843, -0.00126111, -0.00143351,
  -0.0016056, -0.00177733, -0.00194868, -0.00211961, -0.00229007,
  -0.00246004, -0.00262947, -0.00279834, -0.00296661, -0.00313423,
  -0.00330119, -0.00346744, -0.00363295, -0.00379769, -0.00396162,
  -0.00412471, -0.00428693, -0.00444825, -0.00460863, -0.00476804,
  -0.00492645, -0.00508383, -0.00524016, -0.00539539, -0.0055495,
  -0.00570246, -0.00585425, -0.00600482, -0.00615416, -0.00630223,
  -0.00644902, -0.00659448, -0.0067386, -0.00688135, -0.0070227,
  -0.00716262, -0.00730109, -0.0074381, -0.0075736, -0.00770758,
  -0.00784001, -0.00797087, -0.00810014, -0.0082278, -0.00835381,
  -0.00847817, -0.00860085, -0.00872183, -0.00884109, -0.0089586,
  -0.00907436, -0.00918833, -0.00930051, -0.00941087, -0.00951939,
  -0.00962607, -0.00973087, -0.00983379, -0.00993481, -0.0100339,
  -0.0101311, -0.0102263, -0.0103195, -0.0104108, -0.0105001,
  -0.0105874, -0.0106727, -0.0107559, -0.0108371, -0.0109163,
  -0.0109933, -0.0110684, -0.0111413, -0.0112121, -0.0112809,
  -0.0113475, -0.011412, -0.0114744, -0.0115346, -0.0115927,
  -0.0116487, -0.0117025, -0.0117541, -0.0118036, -0.0118509,
  -0.011896, -0.0119389, -0.0119797, -0.0120183, -0.0120546,
  -0.0120888, -0.0121208, -0.0121506, -0.0121782, -0.0122036,
  -0.0122268, -0.0122477, -0.0122665, -0.0122831, -0.0122975,
  -0.0123097, -0.0123197, -0.0123274, -0.012333, -0.0123365,
  -0.0123377, -0.0123367, -0.0123336, -0.0123283, -0.0123208,
  -0.0123111, -0.0122993, -0.0122854, -0.0122693, -0.012251,
  -0.0122307, -0.0122081, -0.0121835, -0.0121568, -0.0121279,
  -0.012097, -0.012064, -0.0120289, -0.0119917, -0.0119525,
  -0.0119112, -0.0118679, -0.0118226, -0.0117752, -0.0117259,
  -0.0116745, -0.0116212, -0.0115659, -0.0115086, -0.0114494,
  -0.0113883, -0.0113253, -0.0112603, -0.0111935, -0.0111248,
  -0.0110542, -0.0109818, -0.0109076, -0.0108315, -0.0107537,
  -0.010674, -0.0105926, -0.0105095, -0.0104246, -0.010338,
  -0.0102496, -0.0101596, -0.010068, -0.00997466, -0.00987971,
  -0.00978315, -0.00968499, -0.00958526, -0.00948397, -0.00938114,
  -0.00927678, -0.00917093, -0.00906359, -0.0089548, -0.00884455,
  -0.00873289, -0.00861982, -0.00850537, -0.00838956, -0.00827241,
  -0.00815393, -0.00803415, -0.0079131, -0.00779079, -0.00766724,
  -0.00754247, -0.00741651, -0.00728938, -0.0071611, -0.00703168,
  -0.00690117, -0.00676956, -0.0066369, -0.00650319, -0.00636847,
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  -0.000535099, -0.000331248, -0.000127255, 7.67915e-05, 0.000280805,
  0.000484697, 0.000688377, 0.000891755, 0.00109474, 0.00129724,
  0.00149916, 0.0017004, 0.00190088, 0.00210049, 0.00229915,
  0.00249675, 0.00269319, 0.00288838, 0.00308222, 0.00327462,
  0.00346546, 0.00365465, 0.00384209, 0.00402767, 0.00421131,
  0.00439288, 0.0045723, 0.00474946, 0.00492426, 0.00509659,
  0.00526635, 0.00543344, 0.00559776, 0.0057592, 0.00591765,
  0.00607303, 0.00622522, 0.00637412, 0.00651963, 0.00666166,
  0.00680009, 0.00693483, 0.00706578, 0.00719283, 0.0073159,
  0.00743488, 0.00754967, 0.00766018, 0.00776632, 0.00786798,
  0.00796509, 0.00805754, 0.00814524, 0.00822812, 0.00830607,
  0.00837901, 0.00844686, 0.00850954, 0.00856696, 0.00861905,
  0.00866573, 0.00870693, 0.00874257, 0.00877258, 0.00879689,
  0.00881544, 0.00882817, 0.00883502, 0.00883593, 0.00883084,
  0.00881971, 0.00880249, 0.00877912, 0.00874958, 0.00871383,
  0.00867182, 0.00862354, 0.00856895, 0.00850803, 0.00844077,
  0.00836715, 0.00828716, 0.00820081, 0.00810808, 0.00800899,
  0.00790355, 0.00779176, 0.00767367, 0.00754928, 0.00741864,
  0.00728179, 0.00713876, 0.00698961, 0.00683441, 0.0066732,
  0.00650607, 0.00633308, 0.00615434, 0.00596993, 0.00577994,
  0.0055845, 0.0053837, 0.00517769, 0.00496659, 0.00475055, 0.0045297,
  0.00430422, 0.00407427, 0.00384003, 0.00360169, 0.00335944,
  0.0031135, 0.00286407, 0.0026114, 0.00235572, 0.00209727,
  0.00183633, 0.00157317, 0.00130808, 0.00104135, 0.00077329,
  0.000504231, 0.000234507, -3.55314e-05, -0.00030552, -0.000575081,
  -0.000843822, -0.00111134, -0.0013772, -0.00164099, -0.00190223,
  -0.00216047, -0.00241522, -0.00266598, -0.00291223, -0.00315344,
  -0.00338906, -0.00361851, -0.00384121, -0.00405655, -0.0042639,
  -0.00446263, -0.00465206, -0.00483151, -0.00500028, -0.00515764,
  -0.00530284, -0.00543511, -0.00555367, -0.0056577, -0.00574635,
  -0.00581879, -0.00587411, -0.00591142, -0.00592977, -0.00592822,
  -0.00590578, -0.00586144, -0.00579417, -0.0057029, -0.00558655,
  -0.00544399, -0.00527409, -0.00507566, -0.0048475, -0.00458838,
  -0.00429704, -0.00397217, -0.00361245, -0.00321652, -0.00278299,
  -0.00231043, -0.00179739, -0.00124237, -0.00064384, -2.43055e-07};
  const G4double G4ParticleHPFastLegendre::l15[3201] = {-1, -0.926383,
  -0.855488, -0.787249, -0.7216, -0.658478, -0.59782, -0.539564,
  -0.483651, -0.43002, -0.378613, -0.329374, -0.282246, -0.237173,
  -0.194103, -0.152981, -0.113755, -0.0763756, -0.0407912,
  -0.00695301, 0.0251872, 0.0556768, 0.0845622, 0.111889, 0.137701,
  0.162044, 0.184959, 0.206488, 0.226673, 0.245554, 0.263172,
  0.279563, 0.294768, 0.308821, 0.321762, 0.333624, 0.344443,
  0.354253, 0.363087, 0.370979, 0.377961, 0.384063, 0.389317,
  0.393753, 0.397401, 0.400288, 0.402443, 0.403894, 0.404668, 0.40479,
  0.404287, 0.403184, 0.401506, 0.399275, 0.396517, 0.393253,
  0.389506, 0.385298, 0.38065, 0.375583, 0.370117, 0.364272, 0.358068,
  0.351522, 0.344654, 0.337481, 0.330022, 0.322291, 0.314307,
  0.306086, 0.297642, 0.288992, 0.28015, 0.271131, 0.261948, 0.252616,
  0.243147, 0.233555, 0.223852, 0.214051, 0.204162, 0.194198, 0.18417,
  0.174088, 0.163963, 0.153806, 0.143625, 0.133431, 0.123232,
  0.113038, 0.102857, 0.0926981, 0.0825685, 0.0724761, 0.0624286,
  0.0524331, 0.0424967, 0.032626, 0.0228275, 0.0131074, 0.00347168,
  -0.00607393, -0.0155239, -0.024873, -0.0341161, -0.0432485,
  -0.0522654, -0.0611625, -0.0699355, -0.0785804, -0.0870935,
  -0.095471, -0.10371, -0.111806, -0.119757, -0.12756, -0.135211,
  -0.14271, -0.150052, -0.157236, -0.16426, -0.171121, -0.177819,
  -0.18435, -0.190715, -0.196911, -0.202937, -0.208792, -0.214475,
  -0.219986, -0.225323, -0.230485, -0.235473, -0.240286, -0.244924,
  -0.249386, -0.253672, -0.257783, -0.261719, -0.265479, -0.269064,
  -0.272475, -0.275711, -0.278774, -0.281664, -0.284382, -0.286929,
  -0.289305, -0.291511, -0.293549, -0.29542, -0.297124, -0.298663,
  -0.300039, -0.301251, -0.302303, -0.303195, -0.303929, -0.304506,
  -0.304929, -0.305198, -0.305315, -0.305282, -0.305101, -0.304773,
  -0.304301, -0.303686, -0.30293, -0.302036, -0.301004, -0.299838,
  -0.298539, -0.297109, -0.29555, -0.293865, -0.292055, -0.290123,
  -0.28807, -0.2859, -0.283614, -0.281215, -0.278704, -0.276084,
  -0.273357, -0.270525, -0.267592, -0.264558, -0.261427, -0.2582,
  -0.25488, -0.251469, -0.24797, -0.244385, -0.240715, -0.236965,
  -0.233135, -0.229228, -0.225246, -0.221192, -0.217068, -0.212876,
  -0.208619, -0.204299, -0.199918, -0.195478, -0.190982, -0.186432,
  -0.18183, -0.177178, -0.172479, -0.167735, -0.162948, -0.158119,
  -0.153253, -0.148349, -0.143412, -0.138442, -0.133442, -0.128414,
  -0.123359, -0.118281, -0.113182, -0.108062, -0.102924, -0.0977707,
  -0.0926034, -0.0874241, -0.0822347, -0.0770373, -0.0718336,
  -0.0666256, -0.0614151, -0.0562039, -0.0509938, -0.0457865,
  -0.040584, -0.0353878, -0.0301997, -0.0250215, -0.0198547,
  -0.014701, -0.00956205, -0.00443944, 0.000665262, 0.00575049,
  0.0108147, 0.0158565, 0.0208742, 0.0258666, 0.030832, 0.0357692,
  0.0406767, 0.0455532, 0.0503974, 0.0552079, 0.0599834, 0.0647227,
  0.0694246, 0.0740878, 0.0787112, 0.0832936, 0.0878338, 0.0923308,
  0.0967834, 0.101191, 0.105551, 0.109865, 0.11413, 0.118345, 0.12251,
  0.126624, 0.130686, 0.134694, 0.138649, 0.142549, 0.146394,
  0.150182, 0.153914, 0.157587, 0.161203, 0.164759, 0.168255,
  0.171691, 0.175066, 0.17838, 0.181631, 0.18482, 0.187945, 0.191007,
  0.194005, 0.196938, 0.199806, 0.202609, 0.205346, 0.208016,
  0.210621, 0.213158, 0.215628, 0.218031, 0.220367, 0.222634,
  0.224833, 0.226964, 0.229027, 0.231021, 0.232946, 0.234803, 0.23659,
  0.238308, 0.239958, 0.241538, 0.243049, 0.244491, 0.245863,
  0.247167, 0.248401, 0.249567, 0.250664, 0.251691, 0.252651,
  0.253541, 0.254363, 0.255117, 0.255803, 0.256421, 0.256971,
  0.257454, 0.25787, 0.258219, 0.258501, 0.258717, 0.258867, 0.258951,
  0.25897, 0.258924, 0.258812, 0.258637, 0.258398, 0.258095, 0.257729,
  0.2573, 0.256809, 0.256256, 0.255641, 0.254966, 0.25423, 0.253434,
  0.252579, 0.251665, 0.250692, 0.249661, 0.248573, 0.247428,
  0.246226, 0.244969, 0.243657, 0.24229, 0.240869, 0.239395, 0.237868,
  0.236288, 0.234658, 0.232976, 0.231244, 0.229462, 0.227631,
  0.225752, 0.223825, 0.221851, 0.219831, 0.217765, 0.215654,
  0.213499, 0.2113, 0.209058, 0.206774, 0.204448, 0.202082, 0.199675,
  0.197229, 0.194745, 0.192222, 0.189663, 0.187067, 0.184435,
  0.181768, 0.179067, 0.176333, 0.173566, 0.170767, 0.167936,
  0.165075, 0.162185, 0.159265, 0.156317, 0.153342, 0.15034, 0.147312,
  0.144258, 0.141181, 0.138079, 0.134955, 0.131809, 0.128641,
  0.125453, 0.122244, 0.119017, 0.115771, 0.112507, 0.109227,
  0.105931, 0.102619, 0.0992927, 0.0959525, 0.0925992, 0.0892336,
  0.0858563, 0.0824681, 0.0790699, 0.0756622, 0.0722458, 0.0688215,
  0.06539, 0.061952, 0.0585083, 0.0550595, 0.0516064, 0.0481497,
  0.04469, 0.0412282, 0.0377648, 0.0343007, 0.0308364, 0.0273727,
  0.0239103, 0.0204498, 0.016992, 0.0135374, 0.0100868, 0.00664083,
  0.00320013, -0.000234633, -0.00366281, -0.00708377, -0.0104969,
  -0.0139014, -0.0172969, -0.0206826, -0.024058, -0.0274223,
  -0.0307751, -0.0341157, -0.0374435, -0.0407579, -0.0440584,
  -0.0473443, -0.0506152, -0.0538703, -0.0571092, -0.0603314,
  -0.0635362, -0.0667231, -0.0698916, -0.0730411, -0.0761712,
  -0.0792813, -0.0823709, -0.0854395, -0.0884867, -0.0915118,
  -0.0945145, -0.0974942, -0.10045, -0.103383, -0.106291, -0.109174,
  -0.112032, -0.114865, -0.117671, -0.120451, -0.123204, -0.125929,
  -0.128627, -0.131296, -0.133937, -0.13655, -0.139132, -0.141686,
  -0.144209, -0.146702, -0.149164, -0.151595, -0.153995, -0.156363,
  -0.158698, -0.161002, -0.163273, -0.165511, -0.167716, -0.169887,
  -0.172025, -0.174129, -0.176198, -0.178232, -0.180232, -0.182197,
  -0.184127, -0.186021, -0.187879, -0.189702, -0.191488, -0.193238,
  -0.194952, -0.196629, -0.198269, -0.199872, -0.201438, -0.202967,
  -0.204458, -0.205911, -0.207327, -0.208705, -0.210045, -0.211346,
  -0.21261, -0.213835, -0.215022, -0.21617, -0.21728, -0.218351,
  -0.219384, -0.220378, -0.221333, -0.222249, -0.223126, -0.223965,
  -0.224764, -0.225525, -0.226246, -0.226929, -0.227573, -0.228178,
  -0.228743, -0.22927, -0.229758, -0.230207, -0.230618, -0.230989,
  -0.231322, -0.231617, -0.231872, -0.232089, -0.232268, -0.232408,
  -0.23251, -0.232574, -0.2326, -0.232588, -0.232538, -0.23245,
  -0.232324, -0.232161, -0.231961, -0.231723, -0.231449, -0.231137,
  -0.230789, -0.230403, -0.229982, -0.229524, -0.22903, -0.2285,
  -0.227934, -0.227333, -0.226696, -0.226024, -0.225317, -0.224575,
  -0.223799, -0.222988, -0.222143, -0.221264, -0.220352, -0.219406,
  -0.218427, -0.217414, -0.216369, -0.215292, -0.214182, -0.213041,
  -0.211867, -0.210662, -0.209426, -0.208159, -0.206862, -0.205534,
  -0.204176, -0.202788, -0.20137, -0.199924, -0.198448, -0.196944,
  -0.195412, -0.193851, -0.192263, -0.190648, -0.189005, -0.187336,
  -0.18564, -0.183918, -0.18217, -0.180397, -0.178599, -0.176775,
  -0.174928, -0.173056, -0.17116, -0.169241, -0.167299, -0.165335,
  -0.163347, -0.161338, -0.159307, -0.157255, -0.155181, -0.153087,
  -0.150973, -0.148839, -0.146685, -0.144512, -0.14232, -0.14011,
  -0.137881, -0.135635, -0.133372, -0.131092, -0.128795, -0.126481,
  -0.124152, -0.121808, -0.119448, -0.117074, -0.114685, -0.112282,
  -0.109866, -0.107437, -0.104994, -0.102539, -0.100073, -0.0975942,
  -0.0951044, -0.0926037, -0.0900925, -0.0875712, -0.0850401,
  -0.0824996, -0.0799501, -0.077392, -0.0748257, -0.0722515,
  -0.0696699, -0.0670812, -0.0644859, -0.0618842, -0.0592765,
  -0.0566634, -0.054045, -0.0514219, -0.0487944, -0.0461629,
  -0.0435277, -0.0408892, -0.0382478, -0.035604, -0.032958,
  -0.0303102, -0.027661, -0.0250108, -0.02236, -0.0197088, -0.0170578,
  -0.0144072, -0.0117575, -0.0091089, -0.00646189, -0.00381679,
  -0.00117397, 0.00146621, 0.0041034, 0.00673724, 0.00936737,
  0.0119934, 0.0146151, 0.017232, 0.0198438, 0.0224501, 0.0250506,
  0.027645, 0.0302329, 0.032814, 0.0353879, 0.0379543, 0.0405129,
  0.0430634, 0.0456053, 0.0481384, 0.0506624, 0.0531769, 0.0556816,
  0.0581763, 0.0606605, 0.063134, 0.0655964, 0.0680475, 0.0704869,
  0.0729144, 0.0753296, 0.0777323, 0.0801221, 0.0824987, 0.0848619,
  0.0872114, 0.0895469, 0.091868, 0.0941746, 0.0964664, 0.098743,
  0.101004, 0.10325, 0.105479, 0.107693, 0.10989, 0.11207, 0.114233,
  0.116379, 0.118508, 0.120618, 0.122711, 0.124786, 0.126842, 0.12888,
  0.130898, 0.132898, 0.134878, 0.136838, 0.138779, 0.1407, 0.1426,
  0.14448, 0.14634, 0.148178, 0.149996, 0.151792, 0.153567, 0.15532,
  0.157052, 0.158761, 0.160448, 0.162113, 0.163756, 0.165375,
  0.166972, 0.168546, 0.170097, 0.171624, 0.173128, 0.174608,
  0.176064, 0.177497, 0.178905, 0.180289, 0.181649, 0.182984,
  0.184295, 0.185581, 0.186842, 0.188078, 0.189289, 0.190475,
  0.191636, 0.192771, 0.193881, 0.194965, 0.196024, 0.197057,
  0.198064, 0.199045, 0.2, 0.200929, 0.201831, 0.202708, 0.203558,
  0.204382, 0.20518, 0.205951, 0.206695, 0.207413, 0.208104, 0.208769,
  0.209407, 0.210019, 0.210603, 0.211161, 0.211692, 0.212196,
  0.212673, 0.213124, 0.213547, 0.213944, 0.214314, 0.214657,
  0.214973, 0.215262, 0.215524, 0.21576, 0.215969, 0.21615, 0.216305,
  0.216434, 0.216535, 0.21661, 0.216658, 0.216679, 0.216674, 0.216642,
  0.216584, 0.216499, 0.216388, 0.216251, 0.216087, 0.215897,
  0.215681, 0.215438, 0.21517, 0.214875, 0.214555, 0.214209, 0.213837,
  0.21344, 0.213017, 0.212568, 0.212094, 0.211595, 0.211071, 0.210521,
  0.209947, 0.209347, 0.208723, 0.208074, 0.207401, 0.206703,
  0.205981, 0.205235, 0.204465, 0.203671, 0.202853, 0.202011,
  0.201146, 0.200257, 0.199346, 0.198411, 0.197453, 0.196472,
  0.195469, 0.194443, 0.193395, 0.192324, 0.191232, 0.190117,
  0.188981, 0.187823, 0.186644, 0.185444, 0.184223, 0.18298, 0.181717,
  0.180434, 0.17913, 0.177806, 0.176462, 0.175098, 0.173715, 0.172312,
  0.17089, 0.169449, 0.167989, 0.16651, 0.165013, 0.163498, 0.161964,
  0.160413, 0.158844, 0.157258, 0.155654, 0.154034, 0.152396,
  0.150742, 0.149072, 0.147385, 0.145683, 0.143964, 0.142231,
  0.140481, 0.138717, 0.136938, 0.135144, 0.133336, 0.131514,
  0.129678, 0.127828, 0.125964, 0.124088, 0.122198, 0.120295, 0.11838,
  0.116453, 0.114513, 0.112561, 0.110598, 0.108624, 0.106638,
  0.104642, 0.102635, 0.100617, 0.0985891, 0.0965513, 0.0945039,
  0.092447, 0.0903808, 0.0883057, 0.0862219, 0.0841296, 0.0820291,
  0.0799205, 0.0778043, 0.0756805, 0.0735496, 0.0714116, 0.0692669,
  0.0671157, 0.0649582, 0.0627947, 0.0606255, 0.0584508, 0.0562709,
  0.054086, 0.0518963, 0.0497021, 0.0475037, 0.0453012, 0.0430951,
  0.0408854, 0.0386725, 0.0364566, 0.0342379, 0.0320168, 0.0297934,
  0.027568, 0.0253408, 0.0231122, 0.0208823, 0.0186514, 0.0164197,
  0.0141876, 0.0119551, 0.00972269, 0.00749049, 0.00525876,
  0.00302776, 0.000797724, -0.0014311, -0.00365846, -0.00588413,
  -0.00810785, -0.0103294, -0.0125485, -0.0147649, -0.0169785,
  -0.0191889, -0.0213959, -0.0235993, -0.0257988, -0.0279943,
  -0.0301854, -0.0323719, -0.0345537, -0.0367304, -0.0389018,
  -0.0410678, -0.043228, -0.0453823, -0.0475305, -0.0496722,
  -0.0518073, -0.0539355, -0.0560566, -0.0581705, -0.0602768,
  -0.0623754, -0.064466, -0.0665485, -0.0686225, -0.070688,
  -0.0727446, -0.0747922, -0.0768306, -0.0788595, -0.0808787,
  -0.082888, -0.0848873, -0.0868763, -0.0888548, -0.0908227,
  -0.0927796, -0.0947255, -0.09666, -0.0985831, -0.100495, -0.102394,
  -0.104282, -0.106157, -0.10802, -0.10987, -0.111707, -0.113532,
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  -0.0778043, -0.0799205, -0.0820291, -0.0841296, -0.0862219,
  -0.0883057, -0.0903808, -0.092447, -0.0945039, -0.0965513,
  -0.0985891, -0.100617, -0.102635, -0.104642, -0.106638, -0.108624,
  -0.110598, -0.112561, -0.114513, -0.116453, -0.11838, -0.120295,
  -0.122198, -0.124088, -0.125964, -0.127828, -0.129678, -0.131514,
  -0.133336, -0.135144, -0.136938, -0.138717, -0.140481, -0.142231,
  -0.143964, -0.145683, -0.147385, -0.149072, -0.150742, -0.152396,
  -0.154034, -0.155654, -0.157258, -0.158844, -0.160413, -0.161964,
  -0.163498, -0.165013, -0.16651, -0.167989, -0.169449, -0.17089,
  -0.172312, -0.173715, -0.175098, -0.176462, -0.177806, -0.17913,
  -0.180434, -0.181717, -0.18298, -0.184223, -0.185444, -0.186644,
  -0.187823, -0.188981, -0.190117, -0.191232, -0.192324, -0.193395,
  -0.194443, -0.195469, -0.196472, -0.197453, -0.198411, -0.199346,
  -0.200257, -0.201146, -0.202011, -0.202853, -0.203671, -0.204465,
  -0.205235, -0.205981, -0.206703, -0.207401, -0.208074, -0.208723,
  -0.209347, -0.209947, -0.210521, -0.211071, -0.211595, -0.212094,
  -0.212568, -0.213017, -0.21344, -0.213837, -0.214209, -0.214555,
  -0.214875, -0.21517, -0.215438, -0.215681, -0.215897, -0.216087,
  -0.216251, -0.216388, -0.216499, -0.216584, -0.216642, -0.216674,
  -0.216679, -0.216658, -0.21661, -0.216535, -0.216434, -0.216305,
  -0.21615, -0.215969, -0.21576, -0.215524, -0.215262, -0.214973,
  -0.214657, -0.214314, -0.213944, -0.213547, -0.213124, -0.212673,
  -0.212196, -0.211692, -0.211161, -0.210603, -0.210019, -0.209407,
  -0.208769, -0.208104, -0.207413, -0.206695, -0.205951, -0.20518,
  -0.204382, -0.203558, -0.202708, -0.201831, -0.200929, -0.2,
  -0.199045, -0.198064, -0.197057, -0.196024, -0.194965, -0.193881,
  -0.192771, -0.191636, -0.190475, -0.189289, -0.188078, -0.186842,
  -0.185581, -0.184295, -0.182984, -0.181649, -0.180289, -0.178905,
  -0.177497, -0.176064, -0.174608, -0.173128, -0.171624, -0.170097,
  -0.168546, -0.166972, -0.165375, -0.163756, -0.162113, -0.160448,
  -0.158761, -0.157052, -0.15532, -0.153567, -0.151792, -0.149996,
  -0.148178, -0.14634, -0.14448, -0.1426, -0.1407, -0.138779,
  -0.136838, -0.134878, -0.132898, -0.130898, -0.12888, -0.126842,
  -0.124786, -0.122711, -0.120618, -0.118508, -0.116379, -0.114233,
  -0.11207, -0.10989, -0.107693, -0.105479, -0.10325, -0.101004,
  -0.098743, -0.0964664, -0.0941746, -0.091868, -0.0895469,
  -0.0872114, -0.0848619, -0.0824987, -0.0801221, -0.0777323,
  -0.0753296, -0.0729144, -0.0704869, -0.0680475, -0.0655964,
  -0.063134, -0.0606605, -0.0581763, -0.0556816, -0.0531769,
  -0.0506624, -0.0481384, -0.0456053, -0.0430634, -0.0405129,
  -0.0379543, -0.0353879, -0.032814, -0.0302329, -0.027645,
  -0.0250506, -0.0224501, -0.0198438, -0.017232, -0.0146151,
  -0.0119934, -0.00936737, -0.00673724, -0.0041034, -0.00146621,
  0.00117397, 0.00381679, 0.00646189, 0.0091089, 0.0117575, 0.0144072,
  0.0170578, 0.0197088, 0.02236, 0.0250108, 0.027661, 0.0303102,
  0.032958, 0.035604, 0.0382478, 0.0408892, 0.0435277, 0.0461629,
  0.0487944, 0.0514219, 0.054045, 0.0566634, 0.0592765, 0.0618842,
  0.0644859, 0.0670812, 0.0696699, 0.0722515, 0.0748257, 0.077392,
  0.0799501, 0.0824996, 0.0850401, 0.0875712, 0.0900925, 0.0926037,
  0.0951044, 0.0975942, 0.100073, 0.102539, 0.104994, 0.107437,
  0.109866, 0.112282, 0.114685, 0.117074, 0.119448, 0.121808,
  0.124152, 0.126481, 0.128795, 0.131092, 0.133372, 0.135635,
  0.137881, 0.14011, 0.14232, 0.144512, 0.146685, 0.148839, 0.150973,
  0.153087, 0.155181, 0.157255, 0.159307, 0.161338, 0.163347,
  0.165335, 0.167299, 0.169241, 0.17116, 0.173056, 0.174928, 0.176775,
  0.178599, 0.180397, 0.18217, 0.183918, 0.18564, 0.187336, 0.189005,
  0.190648, 0.192263, 0.193851, 0.195412, 0.196944, 0.198448,
  0.199924, 0.20137, 0.202788, 0.204176, 0.205534, 0.206862, 0.208159,
  0.209426, 0.210662, 0.211867, 0.213041, 0.214182, 0.215292,
  0.216369, 0.217414, 0.218427, 0.219406, 0.220352, 0.221264,
  0.222143, 0.222988, 0.223799, 0.224575, 0.225317, 0.226024,
  0.226696, 0.227333, 0.227934, 0.2285, 0.22903, 0.229524, 0.229982,
  0.230403, 0.230789, 0.231137, 0.231449, 0.231723, 0.231961,
  0.232161, 0.232324, 0.23245, 0.232538, 0.232588, 0.2326, 0.232574,
  0.23251, 0.232408, 0.232268, 0.232089, 0.231872, 0.231617, 0.231322,
  0.230989, 0.230618, 0.230207, 0.229758, 0.22927, 0.228743, 0.228178,
  0.227573, 0.226929, 0.226246, 0.225525, 0.224764, 0.223965,
  0.223126, 0.222249, 0.221333, 0.220378, 0.219384, 0.218351, 0.21728,
  0.21617, 0.215022, 0.213835, 0.21261, 0.211346, 0.210045, 0.208705,
  0.207327, 0.205911, 0.204458, 0.202967, 0.201438, 0.199872,
  0.198269, 0.196629, 0.194952, 0.193238, 0.191488, 0.189702,
  0.187879, 0.186021, 0.184127, 0.182197, 0.180232, 0.178232,
  0.176198, 0.174129, 0.172025, 0.169887, 0.167716, 0.165511,
  0.163273, 0.161002, 0.158698, 0.156363, 0.153995, 0.151595,
  0.149164, 0.146702, 0.144209, 0.141686, 0.139132, 0.13655, 0.133937,
  0.131296, 0.128627, 0.125929, 0.123204, 0.120451, 0.117671,
  0.114865, 0.112032, 0.109174, 0.106291, 0.103383, 0.10045,
  0.0974942, 0.0945145, 0.0915118, 0.0884867, 0.0854395, 0.0823709,
  0.0792813, 0.0761712, 0.0730411, 0.0698916, 0.0667231, 0.0635362,
  0.0603314, 0.0571092, 0.0538703, 0.0506152, 0.0473443, 0.0440584,
  0.0407579, 0.0374435, 0.0341157, 0.0307751, 0.0274223, 0.024058,
  0.0206826, 0.0172969, 0.0139014, 0.0104969, 0.00708377, 0.00366281,
  0.000234633, -0.00320013, -0.00664083, -0.0100868, -0.0135374,
  -0.016992, -0.0204498, -0.0239103, -0.0273727, -0.0308364,
  -0.0343007, -0.0377648, -0.0412282, -0.04469, -0.0481497,
  -0.0516064, -0.0550595, -0.0585083, -0.061952, -0.06539, -0.0688215,
  -0.0722458, -0.0756622, -0.0790699, -0.0824681, -0.0858563,
  -0.0892336, -0.0925992, -0.0959525, -0.0992927, -0.102619,
  -0.105931, -0.109227, -0.112507, -0.115771, -0.119017, -0.122244,
  -0.125453, -0.128641, -0.131809, -0.134955, -0.138079, -0.141181,
  -0.144258, -0.147312, -0.15034, -0.153342, -0.156317, -0.159265,
  -0.162185, -0.165075, -0.167936, -0.170767, -0.173566, -0.176333,
  -0.179067, -0.181768, -0.184435, -0.187067, -0.189663, -0.192222,
  -0.194745, -0.197229, -0.199675, -0.202082, -0.204448, -0.206774,
  -0.209058, -0.2113, -0.213499, -0.215654, -0.217765, -0.219831,
  -0.221851, -0.223825, -0.225752, -0.227631, -0.229462, -0.231244,
  -0.232976, -0.234658, -0.236288, -0.237868, -0.239395, -0.240869,
  -0.24229, -0.243657, -0.244969, -0.246226, -0.247428, -0.248573,
  -0.249661, -0.250692, -0.251665, -0.252579, -0.253434, -0.25423,
  -0.254966, -0.255641, -0.256256, -0.256809, -0.2573, -0.257729,
  -0.258095, -0.258398, -0.258637, -0.258812, -0.258924, -0.25897,
  -0.258951, -0.258867, -0.258717, -0.258501, -0.258219, -0.25787,
  -0.257454, -0.256971, -0.256421, -0.255803, -0.255117, -0.254363,
  -0.253541, -0.252651, -0.251691, -0.250664, -0.249567, -0.248401,
  -0.247167, -0.245863, -0.244491, -0.243049, -0.241538, -0.239958,
  -0.238308, -0.23659, -0.234803, -0.232946, -0.231021, -0.229027,
  -0.226964, -0.224833, -0.222634, -0.220367, -0.218031, -0.215628,
  -0.213158, -0.210621, -0.208016, -0.205346, -0.202609, -0.199806,
  -0.196938, -0.194005, -0.191007, -0.187945, -0.18482, -0.181631,
  -0.17838, -0.175066, -0.171691, -0.168255, -0.164759, -0.161203,
  -0.157587, -0.153914, -0.150182, -0.146394, -0.142549, -0.138649,
  -0.134694, -0.130686, -0.126624, -0.12251, -0.118345, -0.11413,
  -0.109865, -0.105551, -0.101191, -0.0967834, -0.0923308, -0.0878338,
  -0.0832936, -0.0787112, -0.0740878, -0.0694246, -0.0647227,
  -0.0599834, -0.0552079, -0.0503974, -0.0455532, -0.0406767,
  -0.0357692, -0.030832, -0.0258666, -0.0208742, -0.0158565,
  -0.0108147, -0.00575049, -0.000665262, 0.00443944, 0.00956205,
  0.014701, 0.0198547, 0.0250215, 0.0301997, 0.0353878, 0.040584,
  0.0457865, 0.0509938, 0.0562039, 0.0614151, 0.0666256, 0.0718336,
  0.0770373, 0.0822347, 0.0874241, 0.0926034, 0.0977707, 0.102924,
  0.108062, 0.113182, 0.118281, 0.123359, 0.128414, 0.133442,
  0.138442, 0.143412, 0.148349, 0.153253, 0.158119, 0.162948,
  0.167735, 0.172479, 0.177178, 0.18183, 0.186432, 0.190982, 0.195478,
  0.199918, 0.204299, 0.208619, 0.212876, 0.217068, 0.221192,
  0.225246, 0.229228, 0.233135, 0.236965, 0.240715, 0.244385, 0.24797,
  0.251469, 0.25488, 0.2582, 0.261427, 0.264558, 0.267592, 0.270525,
  0.273357, 0.276084, 0.278704, 0.281215, 0.283614, 0.2859, 0.28807,
  0.290123, 0.292055, 0.293865, 0.29555, 0.297109, 0.298539, 0.299838,
  0.301004, 0.302036, 0.30293, 0.303686, 0.304301, 0.304773, 0.305101,
  0.305282, 0.305315, 0.305198, 0.304929, 0.304506, 0.303929,
  0.303195, 0.302303, 0.301251, 0.300039, 0.298663, 0.297124, 0.29542,
  0.293549, 0.291511, 0.289305, 0.286929, 0.284382, 0.281664,
  0.278774, 0.275711, 0.272475, 0.269064, 0.265479, 0.261719,
  0.257783, 0.253672, 0.249386, 0.244924, 0.240286, 0.235473,
  0.230485, 0.225323, 0.219986, 0.214475, 0.208792, 0.202937,
  0.196911, 0.190715, 0.18435, 0.177819, 0.171121, 0.16426, 0.157236,
  0.150052, 0.14271, 0.135211, 0.12756, 0.119757, 0.111806, 0.10371,
  0.095471, 0.0870935, 0.0785804, 0.0699355, 0.0611625, 0.0522654,
  0.0432485, 0.0341161, 0.024873, 0.0155239, 0.00607393, -0.00347168,
  -0.0131074, -0.0228275, -0.032626, -0.0424967, -0.0524331,
  -0.0624286, -0.0724761, -0.0825685, -0.0926981, -0.102857,
  -0.113038, -0.123232, -0.133431, -0.143625, -0.153806, -0.163963,
  -0.174088, -0.18417, -0.194198, -0.204162, -0.214051, -0.223852,
  -0.233555, -0.243147, -0.252616, -0.261948, -0.271131, -0.28015,
  -0.288992, -0.297642, -0.306086, -0.314307, -0.322291, -0.330022,
  -0.337481, -0.344654, -0.351522, -0.358068, -0.364272, -0.370117,
  -0.375583, -0.38065, -0.385298, -0.389506, -0.393253, -0.396517,
  -0.399275, -0.401506, -0.403184, -0.404287, -0.40479, -0.404668,
  -0.403894, -0.402443, -0.400288, -0.397401, -0.393753, -0.389317,
  -0.384063, -0.377961, -0.370979, -0.363087, -0.354253, -0.344443,
  -0.333624, -0.321762, -0.308821, -0.294768, -0.279563, -0.263172,
  -0.245554, -0.226673, -0.206488, -0.184959, -0.162044, -0.137701,
  -0.111889, -0.0845622, -0.0556768, -0.0251872, 0.00695301,
  0.0407912, 0.0763756, 0.113755, 0.152981, 0.194103, 0.237173,
  0.282246, 0.329374, 0.378613, 0.43002, 0.483651, 0.539564, 0.59782,
  0.658478, 0.7216, 0.787249, 0.855488, 0.926383, 1}; const G4double
  G4ParticleHPFastLegendre::i15[3201] = {0, -0.000601847, -0.00115854,
  -0.00167175, -0.00214313, -0.00257427, -0.00296673, -0.00332204,
  -0.00364167, -0.00392707, -0.00417965, -0.00440078, -0.0045918,
  -0.00475401, -0.00488868, -0.00499704, -0.00508029, -0.00513961,
  -0.00517613, -0.00519096, -0.00518517, -0.00515981, -0.0051159,
  -0.00505443, -0.00497635, -0.0048826, -0.00477409, -0.00465169,
  -0.00451626, -0.00436862, -0.00420957, -0.0040399, -0.00386036,
  -0.00367168, -0.00347456, -0.0032697, -0.00305775, -0.00283935,
  -0.00261513, -0.00238569, -0.00215159, -0.00191341, -0.00167169,
  -0.00142694, -0.00117966, -0.000930341, -0.000679449, -0.000427432,
  -0.00017472, 7.82695e-05, 0.000331139, 0.000583506, 0.000835002,
  0.00108527, 0.00133399, 0.00158082, 0.00182545, 0.00206761,
  0.00230699, 0.00254333, 0.00277638, 0.0030059, 0.00323165,
  0.00345342, 0.00367099, 0.00388417, 0.00409278, 0.00429664,
  0.00449559, 0.00468948, 0.00487815, 0.00506149, 0.00523936,
  0.00541164, 0.00557824, 0.00573904, 0.00589398, 0.00604295,
  0.0061859, 0.00632275, 0.00645344, 0.00657794, 0.00669618,
  0.00680814, 0.00691378, 0.00701308, 0.00710603, 0.00719261,
  0.00727282, 0.00734665, 0.00741412, 0.00747523, 0.00753, 0.00757845,
  0.0076206, 0.00765649, 0.00768616, 0.00770963, 0.00772695,
  0.00773818, 0.00774336, 0.00774254, 0.00773578, 0.00772315,
  0.00770471, 0.00768053, 0.00765068, 0.00761522, 0.00757425,
  0.00752783, 0.00747605, 0.00741899, 0.00735674, 0.00728938,
  0.00721701, 0.00713972, 0.00705759, 0.00697074, 0.00687924,
  0.0067832, 0.00668273, 0.00657791, 0.00646886, 0.00635567,
  0.00623846, 0.00611731, 0.00599235, 0.00586368, 0.0057314,
  0.00559562, 0.00545645, 0.005314, 0.00516838, 0.00501969,
  0.00486806, 0.00471358, 0.00455636, 0.00439652, 0.00423417,
  0.00406941, 0.00390235, 0.00373311, 0.0035618, 0.00338851,
  0.00321337, 0.00303647, 0.00285792, 0.00267784, 0.00249633,
  0.00231349, 0.00212942, 0.00194425, 0.00175805, 0.00157095,
  0.00138304, 0.00119442, 0.00100519, 0.000815457, 0.000625313,
  0.000434856, 0.000244183, 5.33901e-05, -0.000137429, -0.000328182,
  -0.000518775, -0.000709118, -0.000899122, -0.0010887, -0.00127776,
  -0.00146621, -0.00165398, -0.00184098, -0.00202713, -0.00221234,
  -0.00239654, -0.00257965, -0.00276159, -0.00294228, -0.00312165,
  -0.00329963, -0.00347614, -0.00365112, -0.0038245, -0.00399621,
  -0.00416617, -0.00433434, -0.00450064, -0.00466502, -0.00482741,
  -0.00498775, -0.00514599, -0.00530207, -0.00545593, -0.00560753,
  -0.00575681, -0.00590372, -0.00604821, -0.00619024, -0.00632976,
  -0.00646672, -0.00660108, -0.0067328, -0.00686184, -0.00698816,
  -0.00711172, -0.0072325, -0.00735044, -0.00746553, -0.00757772,
  -0.00768699, -0.00779331, -0.00789665, -0.00799698, -0.00809429,
  -0.00818854, -0.00827972, -0.0083678, -0.00845277, -0.0085346,
  -0.00861328, -0.00868879, -0.00876112, -0.00883026, -0.0088962,
  -0.00895892, -0.00901841, -0.00907467, -0.00912769, -0.00917746,
  -0.00922398, -0.00926725, -0.00930726, -0.00934402, -0.00937752,
  -0.00940776, -0.00943475, -0.00945849, -0.00947899, -0.00949625,
  -0.00951027, -0.00952107, -0.00952865, -0.00953302, -0.0095342,
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  -0.0117554, -0.0117356, -0.0117142, -0.0116911, -0.0116664,
  -0.01164, -0.0116119, -0.0115823, -0.011551, -0.011518, -0.0114834,
  -0.0114472, -0.0114093, -0.0113698, -0.0113287, -0.011286,
  -0.0112416, -0.0111957, -0.0111481, -0.0110989, -0.0110481,
  -0.0109958, -0.0109419, -0.0108863, -0.0108292, -0.0107706,
  -0.0107104, -0.0106486, -0.0105853, -0.0105204, -0.010454,
  -0.0103861, -0.0103167, -0.0102458, -0.0101733, -0.0100994,
  -0.010024, -0.00994718, -0.00986885, -0.00978908, -0.00970786,
  -0.00962522, -0.00954115, -0.00945568, -0.0093688, -0.00928054,
  -0.00919091, -0.00909991, -0.00900755, -0.00891386, -0.00881884,
  -0.00872251, -0.00862487, -0.00852594, -0.00842574, -0.00832428,
  -0.00822156, -0.00811761, -0.00801244, -0.00790606, -0.0077985,
  -0.00768975, -0.00757984, -0.00746879, -0.0073566, -0.00724329,
  -0.00712889, -0.0070134, -0.00689685, -0.00677924, -0.0066606,
  -0.00654093, -0.00642027, -0.00629863, -0.00617601, -0.00605245,
  -0.00592796, -0.00580255, -0.00567625, -0.00554907, -0.00542104,
  -0.00529216, -0.00516247, -0.00503197, -0.00490069, -0.00476865,
  -0.00463586, -0.00450235, -0.00436814, -0.00423325, -0.00409769,
  -0.00396148, -0.00382466, -0.00368723, -0.00354923, -0.00341066,
  -0.00327155, -0.00313193, -0.00299181, -0.00285122, -0.00271017,
  -0.0025687, -0.00242681, -0.00228454, -0.0021419, -0.00199892,
  -0.00185562, -0.00171202, -0.00156815, -0.00142403, -0.00127967,
  -0.00113511, -0.00099037, -0.000845466, -0.000700426, -0.000555272,
  -0.000410028, -0.000264717, -0.000119363, 2.60098e-05, 0.000171379,
  0.00031672, 0.000462009, 0.000607223, 0.000752336, 0.000897326,
  0.00104217, 0.00118684, 0.00133131, 0.00147557, 0.00161958,
  0.00176332, 0.00190677, 0.0020499, 0.00219269, 0.00233511,
  0.00247715, 0.00261877, 0.00275995, 0.00290066, 0.00304089,
  0.00318061, 0.00331979, 0.00345842, 0.00359645, 0.00373388,
  0.00387067, 0.00400681, 0.00414227, 0.00427702, 0.00441104,
  0.0045443, 0.00467679, 0.00480848, 0.00493934, 0.00506935,
  0.00519849, 0.00532673, 0.00545405, 0.00558043, 0.00570584,
  0.00583026, 0.00595367, 0.00607604, 0.00619735, 0.00631758,
  0.00643671, 0.0065547, 0.00667155, 0.00678722, 0.0069017,
  0.00701496, 0.00712698, 0.00723775, 0.00734722, 0.0074554,
  0.00756225, 0.00766775, 0.00777189, 0.00787463, 0.00797597,
  0.00807588, 0.00817434, 0.00827133, 0.00836683, 0.00846081,
  0.00855327, 0.00864418, 0.00873353, 0.00882129, 0.00890744,
  0.00899197, 0.00907485, 0.00915608, 0.00923563, 0.00931349,
  0.00938963, 0.00946404, 0.00953671, 0.00960762, 0.00967675,
  0.00974408, 0.00980961, 0.00987331, 0.00993517, 0.00999517,
  0.0100533, 0.0101096, 0.0101639, 0.0102163, 0.0102669, 0.0103154,
  0.0103621, 0.0104067, 0.0104494, 0.0104901, 0.0105289, 0.0105656,
  0.0106002, 0.0106329, 0.0106635, 0.0106921, 0.0107186, 0.010743,
  0.0107654, 0.0107857, 0.0108038, 0.0108199, 0.0108339, 0.0108458,
  0.0108555, 0.0108632, 0.0108686, 0.010872, 0.0108732, 0.0108723,
  0.0108692, 0.010864, 0.0108566, 0.0108471, 0.0108354, 0.0108215,
  0.0108055, 0.0107873, 0.0107669, 0.0107444, 0.0107197, 0.0106929,
  0.0106639, 0.0106327, 0.0105994, 0.0105639, 0.0105262, 0.0104864,
  0.0104445, 0.0104004, 0.0103542, 0.0103058, 0.0102554, 0.0102028,
  0.010148, 0.0100912, 0.0100323, 0.00997127, 0.00990818, 0.009843,
  0.00977577, 0.00970647, 0.00963514, 0.00956176, 0.00948637,
  0.00940896, 0.00932956, 0.00924817, 0.0091648, 0.00907948,
  0.00899221, 0.008903, 0.00881189, 0.00871887, 0.00862397, 0.0085272,
  0.00842858, 0.00832812, 0.00822585, 0.00812179, 0.00801594,
  0.00790833, 0.00779899, 0.00768792, 0.00757516, 0.00746072,
  0.00734462, 0.00722689, 0.00710755, 0.00698662, 0.00686413,
  0.00674009, 0.00661454, 0.0064875, 0.00635899, 0.00622904,
  0.00609768, 0.00596493, 0.00583081, 0.00569537, 0.00555862,
  0.00542059, 0.00528131, 0.00514082, 0.00499913, 0.00485629,
  0.00471232, 0.00456724, 0.00442111, 0.00427393, 0.00412576,
  0.00397661, 0.00382652, 0.00367553, 0.00352367, 0.00337097,
  0.00321747, 0.0030632, 0.0029082, 0.0027525, 0.00259613, 0.00243914,
  0.00228157, 0.00212343, 0.00196478, 0.00180566, 0.00164609,
  0.00148612, 0.00132578, 0.00116512, 0.00100417, 0.000842972,
  0.000681565, 0.000519988, 0.000358282, 0.000196486, 3.46408e-05,
  -0.000127213, -0.000289035, -0.000450783, -0.000612418,
  -0.000773896, -0.000935178, -0.00109622, -0.00125698, -0.00141742,
  -0.00157749, -0.00173716, -0.00189638, -0.0020551, -0.00221329,
  -0.0023709, -0.00252789, -0.00268422, -0.00283983, -0.0029947,
  -0.00314878, -0.00330202, -0.00345438, -0.00360581, -0.00375629,
  -0.00390575, -0.00405416, -0.00420147, -0.00434765, -0.00449264,
  -0.00463641, -0.00477891, -0.0049201, -0.00505994, -0.00519838,
  -0.00533538, -0.0054709, -0.0056049, -0.00573734, -0.00586817,
  -0.00599734, -0.00612483, -0.00625059, -0.00637458, -0.00649675,
  -0.00661707, -0.0067355, -0.00685199, -0.00696651, -0.00707902,
  -0.00718947, -0.00729784, -0.00740407, -0.00750814, -0.00761001,
  -0.00770963, -0.00780698, -0.00790201, -0.0079947, -0.008085,
  -0.00817287, -0.0082583, -0.00834123, -0.00842164, -0.0084995,
  -0.00857477, -0.00864742, -0.00871742, -0.00878474, -0.00884935,
  -0.00891122, -0.00897032, -0.00902662, -0.0090801, -0.00913073,
  -0.00917849, -0.00922333, -0.00926526, -0.00930423, -0.00934023,
  -0.00937323, -0.00940322, -0.00943017, -0.00945406, -0.00947487,
  -0.00949259, -0.0095072, -0.00951868, -0.00952702, -0.00953219,
  -0.0095342, -0.00953302, -0.00952865, -0.00952107, -0.00951027,
  -0.00949625, -0.00947899, -0.00945849, -0.00943475, -0.00940776,
  -0.00937752, -0.00934402, -0.00930726, -0.00926725, -0.00922398,
  -0.00917746, -0.00912769, -0.00907467, -0.00901841, -0.00895892,
  -0.0088962, -0.00883026, -0.00876112, -0.00868879, -0.00861328,
  -0.0085346, -0.00845277, -0.0083678, -0.00827972, -0.00818854,
  -0.00809429, -0.00799698, -0.00789665, -0.00779331, -0.00768699,
  -0.00757772, -0.00746553, -0.00735044, -0.0072325, -0.00711172,
  -0.00698816, -0.00686184, -0.0067328, -0.00660108, -0.00646672,
  -0.00632976, -0.00619024, -0.00604821, -0.00590372, -0.00575681,
  -0.00560753, -0.00545593, -0.00530207, -0.00514599, -0.00498775,
  -0.00482741, -0.00466502, -0.00450064, -0.00433434, -0.00416617,
  -0.00399621, -0.0038245, -0.00365112, -0.00347614, -0.00329963,
  -0.00312165, -0.00294228, -0.00276159, -0.00257965, -0.00239654,
  -0.00221234, -0.00202713, -0.00184098, -0.00165398, -0.00146621,
  -0.00127776, -0.0010887, -0.000899122, -0.000709118, -0.000518775,
  -0.000328182, -0.000137429, 5.33901e-05, 0.000244183, 0.000434856,
  0.000625313, 0.000815457, 0.00100519, 0.00119442, 0.00138304,
  0.00157095, 0.00175805, 0.00194425, 0.00212942, 0.00231349,
  0.00249633, 0.00267784, 0.00285792, 0.00303647, 0.00321337,
  0.00338851, 0.0035618, 0.00373311, 0.00390235, 0.00406941,
  0.00423417, 0.00439652, 0.00455636, 0.00471358, 0.00486806,
  0.00501969, 0.00516838, 0.005314, 0.00545645, 0.00559562, 0.0057314,
  0.00586368, 0.00599235, 0.00611731, 0.00623846, 0.00635567,
  0.00646886, 0.00657791, 0.00668273, 0.0067832, 0.00687924,
  0.00697074, 0.00705759, 0.00713972, 0.00721701, 0.00728938,
  0.00735674, 0.00741899, 0.00747605, 0.00752783, 0.00757425,
  0.00761522, 0.00765068, 0.00768053, 0.00770471, 0.00772315,
  0.00773578, 0.00774254, 0.00774336, 0.00773818, 0.00772695,
  0.00770963, 0.00768616, 0.00765649, 0.0076206, 0.00757845, 0.00753,
  0.00747523, 0.00741412, 0.00734665, 0.00727282, 0.00719261,
  0.00710603, 0.00701308, 0.00691378, 0.00680814, 0.00669618,
  0.00657794, 0.00645344, 0.00632275, 0.0061859, 0.00604295,
  0.00589398, 0.00573904, 0.00557824, 0.00541164, 0.00523936,
  0.00506149, 0.00487815, 0.00468948, 0.00449559, 0.00429664,
  0.00409278, 0.00388417, 0.00367099, 0.00345342, 0.00323165,
  0.0030059, 0.00277638, 0.00254333, 0.00230699, 0.00206761,
  0.00182545, 0.00158082, 0.00133399, 0.00108527, 0.000835002,
  0.000583506, 0.000331139, 7.82695e-05, -0.00017472, -0.000427432,
  -0.000679449, -0.000930341, -0.00117966, -0.00142694, -0.00167169,
  -0.00191341, -0.00215159, -0.00238569, -0.00261513, -0.00283935,
  -0.00305775, -0.0032697, -0.00347456, -0.00367168, -0.00386036,
  -0.0040399, -0.00420957, -0.00436862, -0.00451626, -0.00465169,
  -0.00477409, -0.0048826, -0.00497635, -0.00505443, -0.0051159,
  -0.00515981, -0.00518517, -0.00519096, -0.00517613, -0.00513961,
  -0.00508029, -0.00499704, -0.00488868, -0.00475401, -0.0045918,
  -0.00440078, -0.00417965, -0.00392707, -0.00364167, -0.00332204,
  -0.00296673, -0.00257427, -0.00214313, -0.00167175, -0.00115854,
  -0.000601847, 3.06016e-17}; const G4double
  G4ParticleHPFastLegendre::l16[3401] = {1, 0.921574, 0.846244,
  0.773927, 0.704545, 0.638021, 0.574278, 0.513243, 0.454842,
  0.399004, 0.345658, 0.294736, 0.246169, 0.199893, 0.155842,
  0.113953, 0.0741636, 0.0364125, 0.000640403, -0.0332113, -0.0651999,
  -0.0953815, -0.123811, -0.150542, -0.175628, -0.199119, -0.221066,
  -0.24152, -0.260527, -0.278135, -0.294391, -0.30934, -0.323025,
  -0.335491, -0.346779, -0.356931, -0.365987, -0.373987, -0.380969,
  -0.386972, -0.392031, -0.396183, -0.399463, -0.401906, -0.403545,
  -0.404412, -0.404539, -0.403959, -0.4027, -0.400794, -0.398268,
  -0.39515, -0.39147, -0.387252, -0.382524, -0.37731, -0.371636,
  -0.365526, -0.359002, -0.352089, -0.344808, -0.337182, -0.32923,
  -0.320974, -0.312433, -0.303628, -0.294575, -0.285295, -0.275805,
  -0.266122, -0.256262, -0.246243, -0.236079, -0.225786, -0.215379,
  -0.204872, -0.19428, -0.183614, -0.172889, -0.162118, -0.151311,
  -0.140481, -0.12964, -0.118798, -0.107966, -0.0971544, -0.0863725,
  -0.0756301, -0.0649363, -0.0542998, -0.0437291, -0.0332323,
  -0.0228173, -0.0124914, -0.00226187, 0.00786445, 0.017881,
  0.0277815, 0.03756, 0.0472107, 0.0567283, 0.0661075, 0.0753434,
  0.0844313, 0.0933669, 0.102146, 0.110764, 0.119219, 0.127505,
  0.135621, 0.143563, 0.151327, 0.158912, 0.166316, 0.173535,
  0.180567, 0.187411, 0.194066, 0.200529, 0.206799, 0.212875,
  0.218756, 0.224441, 0.229929, 0.23522, 0.240313, 0.245208, 0.249905,
  0.254404, 0.258704, 0.262806, 0.266711, 0.270418, 0.273928,
  0.277243, 0.280362, 0.283286, 0.286017, 0.288556, 0.290903,
  0.293061, 0.295029, 0.296811, 0.298406, 0.299817, 0.301045,
  0.302093, 0.302961, 0.303652, 0.304167, 0.304509, 0.304679,
  0.304679, 0.304513, 0.304181, 0.303686, 0.303031, 0.302217,
  0.301248, 0.300124, 0.298849, 0.297426, 0.295856, 0.294143,
  0.292288, 0.290294, 0.288165, 0.285902, 0.283508, 0.280986,
  0.278339, 0.275569, 0.272678, 0.269671, 0.266548, 0.263314,
  0.259971, 0.256522, 0.252968, 0.249314, 0.245562, 0.241715,
  0.237775, 0.233745, 0.229628, 0.225427, 0.221145, 0.216784,
  0.212346, 0.207836, 0.203255, 0.198606, 0.193893, 0.189116,
  0.184281, 0.179388, 0.17444, 0.169441, 0.164393, 0.159298, 0.15416,
  0.14898, 0.143761, 0.138506, 0.133218, 0.127898, 0.122549, 0.117174,
  0.111775, 0.106355, 0.100916, 0.0954596, 0.089989, 0.0845063,
  0.0790138, 0.0735138, 0.0680084, 0.0624999, 0.0569904, 0.0514821,
  0.0459772, 0.0404776, 0.0349855, 0.0295029, 0.0240318, 0.0185742,
  0.013132, 0.00770721, 0.00230163, -0.00308286, -0.00844443,
  -0.0137813, -0.0190916, -0.0243738, -0.029626, -0.0348466,
  -0.040034, -0.0451865, -0.0503026, -0.0553807, -0.0604193,
  -0.0654169, -0.0703721, -0.0752834, -0.0801495, -0.0849689,
  -0.0897403, -0.0944626, -0.0991343, -0.103754, -0.108321, -0.112834,
  -0.117292, -0.121693, -0.126037, -0.130322, -0.134548, -0.138713,
  -0.142816, -0.146858, -0.150836, -0.154749, -0.158598, -0.162381,
  -0.166098, -0.169747, -0.173328, -0.17684, -0.180283, -0.183656,
  -0.186958, -0.190189, -0.193348, -0.196434, -0.199449, -0.202389,
  -0.205256, -0.208049, -0.210768, -0.213412, -0.21598, -0.218473,
  -0.220891, -0.223232, -0.225497, -0.227686, -0.229798, -0.231833,
  -0.233791, -0.235673, -0.237477, -0.239204, -0.240854, -0.242427,
  -0.243922, -0.245341, -0.246682, -0.247947, -0.249134, -0.250245,
  -0.251279, -0.252236, -0.253118, -0.253923, -0.254652, -0.255306,
  -0.255884, -0.256387, -0.256815, -0.257169, -0.257449, -0.257654,
  -0.257787, -0.257846, -0.257833, -0.257747, -0.25759, -0.257361,
  -0.257062, -0.256692, -0.256252, -0.255743, -0.255165, -0.254518,
  -0.253804, -0.253023, -0.252175, -0.251261, -0.250281, -0.249237,
  -0.248129, -0.246957, -0.245722, -0.244425, -0.243066, -0.241647,
  -0.240167, -0.238628, -0.23703, -0.235374, -0.233661, -0.231892,
  -0.230066, -0.228186, -0.226251, -0.224263, -0.222222, -0.220129,
  -0.217985, -0.215791, -0.213547, -0.211255, -0.208915, -0.206528,
  -0.204094, -0.201615, -0.199092, -0.196525, -0.193916, -0.191264,
  -0.188571, -0.185838, -0.183066, -0.180255, -0.177406, -0.174521,
  -0.1716, -0.168644, -0.165654, -0.162631, -0.159575, -0.156488,
  -0.153371, -0.150223, -0.147047, -0.143844, -0.140613, -0.137356,
  -0.134074, -0.130767, -0.127438, -0.124085, -0.120711, -0.117317,
  -0.113902, -0.110469, -0.107017, -0.103548, -0.100063, -0.0965624,
  -0.0930472, -0.0895184, -0.0859767, -0.0824231, -0.0788583,
  -0.0752833, -0.071699, -0.0681061, -0.0645055, -0.0608981,
  -0.0572848, -0.0536662, -0.0500434, -0.0464171, -0.0427881,
  -0.0391572, -0.0355254, -0.0318933, -0.0282618, -0.0246317,
  -0.0210038, -0.0173788, -0.0137576, -0.010141, -0.00652961,
  -0.00292432, 0.000674135, 0.00426501, 0.00784755, 0.011421,
  0.0149847, 0.0185378, 0.0220797, 0.0256096, 0.0291268, 0.0326307,
  0.0361204, 0.0395954, 0.043055, 0.0464985, 0.0499252, 0.0533345,
  0.0567256, 0.0600981, 0.0634512, 0.0667843, 0.0700969, 0.0733882,
  0.0766577, 0.0799048, 0.0831288, 0.0863294, 0.0895057, 0.0926574,
  0.0957838, 0.0988843, 0.101959, 0.105006, 0.108026, 0.111018,
  0.113982, 0.116916, 0.119822, 0.122697, 0.125542, 0.128357, 0.13114,
  0.133891, 0.13661, 0.139297, 0.141951, 0.144571, 0.147157, 0.14971,
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  0.133891, 0.13114, 0.128357, 0.125542, 0.122697, 0.119822, 0.116916,
  0.113982, 0.111018, 0.108026, 0.105006, 0.101959, 0.0988843,
  0.0957838, 0.0926574, 0.0895057, 0.0863294, 0.0831288, 0.0799048,
  0.0766577, 0.0733882, 0.0700969, 0.0667843, 0.0634512, 0.0600981,
  0.0567256, 0.0533345, 0.0499252, 0.0464985, 0.043055, 0.0395954,
  0.0361204, 0.0326307, 0.0291268, 0.0256096, 0.0220797, 0.0185378,
  0.0149847, 0.011421, 0.00784755, 0.00426501, 0.000674135,
  -0.00292432, -0.00652961, -0.010141, -0.0137576, -0.0173788,
  -0.0210038, -0.0246317, -0.0282618, -0.0318933, -0.0355254,
  -0.0391572, -0.0427881, -0.0464171, -0.0500434, -0.0536662,
  -0.0572848, -0.0608981, -0.0645055, -0.0681061, -0.071699,
  -0.0752833, -0.0788583, -0.0824231, -0.0859767, -0.0895184,
  -0.0930472, -0.0965624, -0.100063, -0.103548, -0.107017, -0.110469,
  -0.113902, -0.117317, -0.120711, -0.124085, -0.127438, -0.130767,
  -0.134074, -0.137356, -0.140613, -0.143844, -0.147047, -0.150223,
  -0.153371, -0.156488, -0.159575, -0.162631, -0.165654, -0.168644,
  -0.1716, -0.174521, -0.177406, -0.180255, -0.183066, -0.185838,
  -0.188571, -0.191264, -0.193916, -0.196525, -0.199092, -0.201615,
  -0.204094, -0.206528, -0.208915, -0.211255, -0.213547, -0.215791,
  -0.217985, -0.220129, -0.222222, -0.224263, -0.226251, -0.228186,
  -0.230066, -0.231892, -0.233661, -0.235374, -0.23703, -0.238628,
  -0.240167, -0.241647, -0.243066, -0.244425, -0.245722, -0.246957,
  -0.248129, -0.249237, -0.250281, -0.251261, -0.252175, -0.253023,
  -0.253804, -0.254518, -0.255165, -0.255743, -0.256252, -0.256692,
  -0.257062, -0.257361, -0.25759, -0.257747, -0.257833, -0.257846,
  -0.257787, -0.257654, -0.257449, -0.257169, -0.256815, -0.256387,
  -0.255884, -0.255306, -0.254652, -0.253923, -0.253118, -0.252236,
  -0.251279, -0.250245, -0.249134, -0.247947, -0.246682, -0.245341,
  -0.243922, -0.242427, -0.240854, -0.239204, -0.237477, -0.235673,
  -0.233791, -0.231833, -0.229798, -0.227686, -0.225497, -0.223232,
  -0.220891, -0.218473, -0.21598, -0.213412, -0.210768, -0.208049,
  -0.205256, -0.202389, -0.199449, -0.196434, -0.193348, -0.190189,
  -0.186958, -0.183656, -0.180283, -0.17684, -0.173328, -0.169747,
  -0.166098, -0.162381, -0.158598, -0.154749, -0.150836, -0.146858,
  -0.142816, -0.138713, -0.134548, -0.130322, -0.126037, -0.121693,
  -0.117292, -0.112834, -0.108321, -0.103754, -0.0991343, -0.0944626,
  -0.0897403, -0.0849689, -0.0801495, -0.0752834, -0.0703721,
  -0.0654169, -0.0604193, -0.0553807, -0.0503026, -0.0451865,
  -0.040034, -0.0348466, -0.029626, -0.0243738, -0.0190916,
  -0.0137813, -0.00844443, -0.00308286, 0.00230163, 0.00770721,
  0.013132, 0.0185742, 0.0240318, 0.0295029, 0.0349855, 0.0404776,
  0.0459772, 0.0514821, 0.0569904, 0.0624999, 0.0680084, 0.0735138,
  0.0790138, 0.0845063, 0.089989, 0.0954596, 0.100916, 0.106355,
  0.111775, 0.117174, 0.122549, 0.127898, 0.133218, 0.138506,
  0.143761, 0.14898, 0.15416, 0.159298, 0.164393, 0.169441, 0.17444,
  0.179388, 0.184281, 0.189116, 0.193893, 0.198606, 0.203255,
  0.207836, 0.212346, 0.216784, 0.221145, 0.225427, 0.229628,
  0.233745, 0.237775, 0.241715, 0.245562, 0.249314, 0.252968,
  0.256522, 0.259971, 0.263314, 0.266548, 0.269671, 0.272678,
  0.275569, 0.278339, 0.280986, 0.283508, 0.285902, 0.288165,
  0.290294, 0.292288, 0.294143, 0.295856, 0.297426, 0.298849,
  0.300124, 0.301248, 0.302217, 0.303031, 0.303686, 0.304181,
  0.304513, 0.304679, 0.304679, 0.304509, 0.304167, 0.303652,
  0.302961, 0.302093, 0.301045, 0.299817, 0.298406, 0.296811,
  0.295029, 0.293061, 0.290903, 0.288556, 0.286017, 0.283286,
  0.280362, 0.277243, 0.273928, 0.270418, 0.266711, 0.262806,
  0.258704, 0.254404, 0.249905, 0.245208, 0.240313, 0.23522, 0.229929,
  0.224441, 0.218756, 0.212875, 0.206799, 0.200529, 0.194066,
  0.187411, 0.180567, 0.173535, 0.166316, 0.158912, 0.151327,
  0.143563, 0.135621, 0.127505, 0.119219, 0.110764, 0.102146,
  0.0933669, 0.0844313, 0.0753434, 0.0661075, 0.0567283, 0.0472107,
  0.03756, 0.0277815, 0.017881, 0.00786445, -0.00226187, -0.0124914,
  -0.0228173, -0.0332323, -0.0437291, -0.0542998, -0.0649363,
  -0.0756301, -0.0863725, -0.0971544, -0.107966, -0.118798, -0.12964,
  -0.140481, -0.151311, -0.162118, -0.172889, -0.183614, -0.19428,
  -0.204872, -0.215379, -0.225786, -0.236079, -0.246243, -0.256262,
  -0.266122, -0.275805, -0.285295, -0.294575, -0.303628, -0.312433,
  -0.320974, -0.32923, -0.337182, -0.344808, -0.352089, -0.359002,
  -0.365526, -0.371636, -0.37731, -0.382524, -0.387252, -0.39147,
  -0.39515, -0.398268, -0.400794, -0.4027, -0.403959, -0.404539,
  -0.404412, -0.403545, -0.401906, -0.399463, -0.396183, -0.392031,
  -0.386972, -0.380969, -0.373987, -0.365987, -0.356931, -0.346779,
  -0.335491, -0.323025, -0.30934, -0.294391, -0.278135, -0.260527,
  -0.24152, -0.221066, -0.199119, -0.175628, -0.150542, -0.123811,
  -0.0953815, -0.0651999, -0.0332113, 0.000640403, 0.0364125,
  0.0741636, 0.113953, 0.155842, 0.199893, 0.246169, 0.294736,
  0.345658, 0.399004, 0.454842, 0.513243, 0.574278, 0.638021,
  0.704545, 0.773927, 0.846244, 0.921574, 1}; const G4double
  G4ParticleHPFastLegendre::i16[3401] = {0, 0.00056501, 0.0010848,
  0.00156117, 0.00199587, 0.0023906, 0.00274702, 0.00306674,
  0.00335134, 0.00360235, 0.00382124, 0.00400947, 0.00416844,
  0.00429953, 0.00440404, 0.00448329, 0.00453851, 0.00457093,
  0.00458173, 0.00457206, 0.00454302, 0.0044957, 0.00443114,
  0.00435037, 0.00425435, 0.00414405, 0.00402039, 0.00388426,
  0.00373653, 0.00357803, 0.00340957, 0.00323194, 0.00304589,
  0.00285215, 0.00265142, 0.00244439, 0.00223171, 0.00201402,
  0.00179192, 0.00156601, 0.00133685, 0.00110497, 0.000870916,
  0.000635178, 0.000398241, 0.000160569, -7.73948e-05, -0.000315223,
  -0.00055251, -0.000788863, -0.00102391, -0.0012573, -0.00148869,
  -0.00171775, -0.00194418, -0.00216768, -0.00238798, -0.00260482,
  -0.00281793, -0.0030271, -0.00323209, -0.00343269, -0.00362871,
  -0.00381996, -0.00400627, -0.00418748, -0.00436343, -0.00453399,
  -0.00469903, -0.00485843, -0.00501208, -0.00515988, -0.00530175,
  -0.0054376, -0.00556736, -0.00569097, -0.00580837, -0.00591952,
  -0.00602438, -0.00612291, -0.00621509, -0.00630092, -0.00638036,
  -0.00645343, -0.00652013, -0.00658046, -0.00663443, -0.00668208,
  -0.00672342, -0.00675849, -0.00678732, -0.00680995, -0.00682643,
  -0.00683681, -0.00684114, -0.00683949, -0.00683191, -0.00681847,
  -0.00679925, -0.00677431, -0.00674373, -0.0067076, -0.00666599,
  -0.00661899, -0.00656669, -0.00650917, -0.00644655, -0.0063789,
  -0.00630632, -0.00622892, -0.0061468, -0.00606006, -0.0059688,
  -0.00587314, -0.00577317, -0.00566902, -0.00556078, -0.00544857,
  -0.0053325, -0.00521269, -0.00508925, -0.00496229, -0.00483192,
  -0.00469828, -0.00456146, -0.00442158, -0.00427877, -0.00413314,
  -0.00398481, -0.00383388, -0.00368049, -0.00352474, -0.00336675,
  -0.00320664, -0.00304452, -0.00288051, -0.00271472, -0.00254727,
  -0.00237826, -0.00220782, -0.00203606, -0.00186308, -0.001689,
  -0.00151393, -0.00133797, -0.00116124, -0.000983838, -0.000805872,
  -0.000627448, -0.000448669, -0.000269638, -9.04564e-05, 8.87751e-05,
  0.000267958, 0.000446994, 0.000625786, 0.000804241, 0.000982263,
  0.00115976, 0.00133664, 0.00151282, 0.0016882, 0.0018627,
  0.00203624, 0.00220873, 0.00238008, 0.00255022, 0.00271907,
  0.00288655, 0.00305259, 0.0032171, 0.00338002, 0.00354127,
  0.0037008, 0.00385851, 0.00401436, 0.00416827, 0.00432019,
  0.00447004, 0.00461778, 0.00476334, 0.00490666, 0.00504769,
  0.00518637, 0.00532266, 0.00545651, 0.00558786, 0.00571666,
  0.00584288, 0.00596647, 0.00608738, 0.00620558, 0.00632102,
  0.00643368, 0.0065435, 0.00665047, 0.00675454, 0.00685568,
  0.00695387, 0.00704908, 0.00714127, 0.00723043, 0.00731653,
  0.00739956, 0.00747948, 0.00755628, 0.00762994, 0.00770045,
  0.00776779, 0.00783194, 0.00789291, 0.00795066, 0.00800521,
  0.00805653, 0.00810463, 0.00814949, 0.00819111, 0.0082295,
  0.00826464, 0.00829654, 0.00832521, 0.00835064, 0.00837283,
  0.0083918, 0.00840754, 0.00842007, 0.0084294, 0.00843553,
  0.00843847, 0.00843824, 0.00843485, 0.00842831, 0.00841864,
  0.00840585, 0.00838997, 0.008371, 0.00834898, 0.00832391,
  0.00829583, 0.00826474, 0.00823068, 0.00819367, 0.00815373,
  0.00811088, 0.00806517, 0.0080166, 0.00796521, 0.00791103,
  0.00785409, 0.00779441, 0.00773204, 0.00766699, 0.0075993,
  0.00752901, 0.00745614, 0.00738074, 0.00730284, 0.00722246,
  0.00713966, 0.00705445, 0.00696689, 0.00687701, 0.00678485,
  0.00669044, 0.00659382, 0.00649504, 0.00639414, 0.00629114,
  0.0061861, 0.00607906, 0.00597005, 0.00585912, 0.00574631,
  0.00563167, 0.00551523, 0.00539704, 0.00527714, 0.00515557,
  0.00503239, 0.00490762, 0.00478133, 0.00465354, 0.00452432,
  0.00439369, 0.00426171, 0.00412841, 0.00399385, 0.00385808,
  0.00372112, 0.00358304, 0.00344388, 0.00330367, 0.00316248,
  0.00302033, 0.00287728, 0.00273338, 0.00258866, 0.00244318,
  0.00229697, 0.00215009, 0.00200258, 0.00185449, 0.00170585,
  0.00155672, 0.00140713, 0.00125714, 0.00110679, 0.000956116,
  0.00080517, 0.000653995, 0.000502633, 0.000351128, 0.000199524,
  4.78636e-05, -0.00010381, -0.000255455, -0.000407029, -0.000558489,
  -0.000709793, -0.000860901, -0.00101177, -0.00116236, -0.00131263,
  -0.00146254, -0.00161205, -0.00176112, -0.00190971, -0.00205778,
  -0.0022053, -0.00235222, -0.00249851, -0.00264412, -0.00278903,
  -0.0029332, -0.00307658, -0.00321915, -0.00336086, -0.00350168,
  -0.00364159, -0.00378053, -0.00391849, -0.00405542, -0.00419129,
  -0.00432607, -0.00445973, -0.00459224, -0.00472356, -0.00485367,
  -0.00498253, -0.00511011, -0.00523639, -0.00536133, -0.00548491,
  -0.00560711, -0.00572788, -0.00584721, -0.00596507, -0.00608143,
  -0.00619626, -0.00630955, -0.00642127, -0.00653139, -0.0066399,
  -0.00674676, -0.00685195, -0.00695546, -0.00705727, -0.00715734,
  -0.00725567, -0.00735222, -0.00744699, -0.00753995, -0.00763109,
  -0.00772038, -0.00780782, -0.00789337, -0.00797704, -0.00805879,
  -0.00813863, -0.00821652, -0.00829247, -0.00836645, -0.00843845,
  -0.00850846, -0.00857646, -0.00864245, -0.00870642, -0.00876835,
  -0.00882824, -0.00888607, -0.00894184, -0.00899554, -0.00904715,
  -0.00909668, -0.00914412, -0.00918946, -0.00923269, -0.00927381,
  -0.00931281, -0.00934969, -0.00938445, -0.00941709, -0.00944759,
  -0.00947596, -0.0095022, -0.0095263, -0.00954826, -0.00956809,
  -0.00958579, -0.00960134, -0.00961476, -0.00962605, -0.00963521,
  -0.00964224, -0.00964714, -0.00964992, -0.00965058, -0.00964913,
  -0.00964557, -0.0096399, -0.00963213, -0.00962227, -0.00961033,
  -0.0095963, -0.0095802, -0.00956203, -0.00954181, -0.00951954,
  -0.00949523, -0.00946889, -0.00944053, -0.00941016, -0.00937779,
  -0.00934343, -0.00930709, -0.00926878, -0.00922852, -0.00918632,
  -0.00914219, -0.00909614, -0.00904819, -0.00899835, -0.00894663,
  -0.00889305, -0.00883762, -0.00878037, -0.0087213, -0.00866042,
  -0.00859776, -0.00853334, -0.00846716, -0.00839925, -0.00832962,
  -0.00825829, -0.00818527, -0.0081106, -0.00803427, -0.00795632,
  -0.00787676, -0.00779561, -0.00771289, -0.00762861, -0.00754281,
  -0.00745549, -0.00736669, -0.00727641, -0.00718468, -0.00709152,
  -0.00699696, -0.00690101, -0.00680369, -0.00670503, -0.00660504,
  -0.00650376, -0.0064012, -0.00629738, -0.00619233, -0.00608607,
  -0.00597863, -0.00587002, -0.00576026, -0.0056494, -0.00553743,
  -0.0054244, -0.00531031, -0.00519521, -0.0050791, -0.00496202,
  -0.00484399, -0.00472503, -0.00460517, -0.00448443, -0.00436283,
  -0.00424041, -0.00411718, -0.00399317, -0.00386841, -0.00374291,
  -0.00361671, -0.00348983, -0.0033623, -0.00323413, -0.00310536,
  -0.002976, -0.0028461, -0.00271566, -0.00258471, -0.00245329,
  -0.00232141, -0.0021891, -0.00205639, -0.00192329, -0.00178984,
  -0.00165607, -0.00152199, -0.00138763, -0.00125301, -0.00111817,
  -0.000983123, -0.000847897, -0.000712517, -0.000577007,
  -0.000441393, -0.000305699, -0.000169949, -3.4169e-05, 0.000101617,
  0.000237385, 0.000373111, 0.000508769, 0.000644336, 0.000779788,
  0.000915101, 0.00105025, 0.00118521, 0.00131997, 0.00145448,
  0.00158874, 0.00172272, 0.0018564, 0.00198974, 0.00212274,
  0.00225536, 0.00238759, 0.0025194, 0.00265077, 0.00278167,
  0.00291209, 0.003042, 0.00317138, 0.00330021, 0.00342847,
  0.00355614, 0.00368318, 0.0038096, 0.00393535, 0.00406043,
  0.00418481, 0.00430847, 0.00443139, 0.00455355, 0.00467493,
  0.00479552, 0.00491528, 0.00503421, 0.00515229, 0.00526949,
  0.00538579, 0.00550119, 0.00561565, 0.00572916, 0.00584171,
  0.00595328, 0.00606384, 0.00617339, 0.0062819, 0.00638936,
  0.00649575, 0.00660105, 0.00670526, 0.00680835, 0.0069103,
  0.00701111, 0.00711076, 0.00720922, 0.0073065, 0.00740257,
  0.00749742, 0.00759103, 0.00768339, 0.00777449, 0.00786432,
  0.00795286, 0.00804009, 0.00812602, 0.00821061, 0.00829387,
  0.00837578, 0.00845633, 0.0085355, 0.00861329, 0.00868969,
  0.00876468, 0.00883826, 0.00891041, 0.00898112, 0.00905039,
  0.00911821, 0.00918456, 0.00924944, 0.00931285, 0.00937476,
  0.00943518, 0.00949409, 0.00955149, 0.00960737, 0.00966173,
  0.00971456, 0.00976584, 0.00981558, 0.00986377, 0.0099104,
  0.00995548, 0.00999898, 0.0100409, 0.0100813, 0.01012, 0.0101572,
  0.0101928, 0.0102268, 0.0102593, 0.0102901, 0.0103193, 0.0103469,
  0.0103729, 0.0103973, 0.01042, 0.0104412, 0.0104608, 0.0104787,
  0.010495, 0.0105097, 0.0105228, 0.0105343, 0.0105442, 0.0105524,
  0.010559, 0.010564, 0.0105674, 0.0105692, 0.0105694, 0.010568,
  0.0105649, 0.0105603, 0.0105541, 0.0105462, 0.0105368, 0.0105258,
  0.0105131, 0.0104989, 0.0104832, 0.0104658, 0.0104469, 0.0104264,
  0.0104043, 0.0103807, 0.0103555, 0.0103288, 0.0103005, 0.0102707,
  0.0102394, 0.0102066, 0.0101722, 0.0101363, 0.010099, 0.0100601,
  0.0100197, 0.00997789, 0.00993458, 0.0098898, 0.00984357,
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  0.00811035, 0.00818503, 0.00825804, 0.00832937, 0.008399,
  0.00846692, 0.00853309, 0.00859752, 0.00866018, 0.00872105,
  0.00878012, 0.00883738, 0.0088928, 0.00894638, 0.0089981,
  0.00904794, 0.00909589, 0.00914194, 0.00918608, 0.00922828,
  0.00926854, 0.00930684, 0.00934318, 0.00937754, 0.00940992,
  0.00944029, 0.00946865, 0.00949499, 0.0095193, 0.00954157,
  0.00956179, 0.00957995, 0.00959605, 0.00961008, 0.00962203,
  0.00963189, 0.00963965, 0.00964532, 0.00964889, 0.00965034,
  0.00964968, 0.0096469, 0.00964199, 0.00963497, 0.00962581,
  0.00961452, 0.0096011, 0.00958554, 0.00956785, 0.00954802,
  0.00952605, 0.00950195, 0.00947571, 0.00944734, 0.00941684,
  0.00938421, 0.00934945, 0.00931256, 0.00927356, 0.00923244,
  0.00918921, 0.00914387, 0.00909644, 0.00904691, 0.00899529,
  0.00894159, 0.00888583, 0.00882799, 0.00876811, 0.00870618,
  0.00864221, 0.00857622, 0.00850821, 0.0084382, 0.0083662,
  0.00829222, 0.00821628, 0.00813838, 0.00805855, 0.00797679,
  0.00789313, 0.00780757, 0.00772014, 0.00763084, 0.00753971,
  0.00744674, 0.00735198, 0.00725542, 0.0071571, 0.00705702,
  0.00695522, 0.00685171, 0.00674651, 0.00663965, 0.00653115,
  0.00642103, 0.00630931, 0.00619602, 0.00608118, 0.00596482,
  0.00584696, 0.00572763, 0.00560686, 0.00548467, 0.00536109,
  0.00523614, 0.00510986, 0.00498228, 0.00485342, 0.00472332,
  0.00459199, 0.00445949, 0.00432583, 0.00419104, 0.00405517,
  0.00391824, 0.00378029, 0.00364134, 0.00350144, 0.00336061,
  0.0032189, 0.00307633, 0.00293295, 0.00278879, 0.00264388,
  0.00249826, 0.00235198, 0.00220506, 0.00205754, 0.00190947,
  0.00176088, 0.00161181, 0.0014623, 0.00131239, 0.00116212,
  0.00101153, 0.000860656, 0.000709548, 0.000558244, 0.000406784,
  0.00025521, 0.000103565, -4.81087e-05, -0.000199769, -0.000351373,
  -0.000502878, -0.00065424, -0.000805415, -0.000956361, -0.00110703,
  -0.00125739, -0.00140738, -0.00155696, -0.0017061, -0.00185473,
  -0.00200283, -0.00215034, -0.00229722, -0.00244342, -0.00258891,
  -0.00273362, -0.00287753, -0.00302058, -0.00316272, -0.00330392,
  -0.00344412, -0.00358329, -0.00372137, -0.00385832, -0.0039941,
  -0.00412866, -0.00426195, -0.00439393, -0.00452456, -0.00465379,
  -0.00478157, -0.00490787, -0.00503263, -0.00515582, -0.00527738,
  -0.00539728, -0.00551547, -0.00563191, -0.00574656, -0.00585937,
  -0.0059703, -0.0060793, -0.00618635, -0.00629139, -0.00639438,
  -0.00649529, -0.00659407, -0.00669068, -0.00678509, -0.00687726,
  -0.00696714, -0.0070547, -0.0071399, -0.00722271, -0.00730308,
  -0.00738099, -0.00745639, -0.00752925, -0.00759955, -0.00766723,
  -0.00773228, -0.00779466, -0.00785433, -0.00791128, -0.00796546,
  -0.00801684, -0.00806541, -0.00811113, -0.00815397, -0.00819391,
  -0.00823092, -0.00826499, -0.00829607, -0.00832416, -0.00834922,
  -0.00837125, -0.00839021, -0.0084061, -0.00841888, -0.00842855,
  -0.00843509, -0.00843848, -0.00843871, -0.00843577, -0.00842964,
  -0.00842032, -0.00840779, -0.00839204, -0.00837308, -0.00835088,
  -0.00832545, -0.00829679, -0.00826489, -0.00822974, -0.00819136,
  -0.00814973, -0.00810487, -0.00805678, -0.00800545, -0.00795091,
  -0.00789315, -0.00783219, -0.00776803, -0.00770069, -0.00763018,
  -0.00755652, -0.00747972, -0.0073998, -0.00731678, -0.00723068,
  -0.00714152, -0.00704932, -0.00695411, -0.00685593, -0.00675478,
  -0.00665071, -0.00654375, -0.00643392, -0.00632127, -0.00620583,
  -0.00608763, -0.00596671, -0.00584313, -0.00571691, -0.0055881,
  -0.00545675, -0.00532291, -0.00518662, -0.00504793, -0.0049069,
  -0.00476358, -0.00461802, -0.00447029, -0.00432043, -0.00416852,
  -0.00401461, -0.00385876, -0.00370104, -0.00354152, -0.00338027,
  -0.00321734, -0.00305283, -0.0028868, -0.00271932, -0.00255047,
  -0.00238033, -0.00220897, -0.00203648, -0.00186295, -0.00168845,
  -0.00151306, -0.00133689, -0.00116001, -0.000982508, -0.000804486,
  -0.000626032, -0.000447239, -0.000268203, -8.90202e-05, 9.02113e-05,
  0.000269393, 0.000448424, 0.000627202, 0.000805627, 0.000983593,
  0.001161, 0.00133773, 0.00151369, 0.00168876, 0.00186284,
  0.00203582, 0.00220758, 0.00237802, 0.00254702, 0.00271447,
  0.00288026, 0.00304427, 0.00320639, 0.0033665, 0.00352449,
  0.00368024, 0.00383364, 0.00398456, 0.0041329, 0.00427853,
  0.00442134, 0.00456121, 0.00469803, 0.00483168, 0.00496204,
  0.005089, 0.00521244, 0.00533226, 0.00544832, 0.00556053,
  0.00566877, 0.00577293, 0.00587289, 0.00596856, 0.00605981,
  0.00614656, 0.00622868, 0.00630608, 0.00637865, 0.0064463,
  0.00650893, 0.00656644, 0.00661874, 0.00666574, 0.00670735,
  0.00674349, 0.00677407, 0.00679901, 0.00681823, 0.00683167,
  0.00683924, 0.0068409, 0.00683656, 0.00682618, 0.0068097,
  0.00678707, 0.00675824, 0.00672318, 0.00668183, 0.00663419,
  0.00658021, 0.00651988, 0.00645319, 0.00638012, 0.00630067,
  0.00621485, 0.00612266, 0.00602413, 0.00591927, 0.00580812,
  0.00569072, 0.00556711, 0.00543735, 0.00530151, 0.00515964,
  0.00501184, 0.00485819, 0.00469879, 0.00453375, 0.00436318,
  0.00418723, 0.00400602, 0.00381971, 0.00362846, 0.00343244,
  0.00323184, 0.00302685, 0.00281769, 0.00260457, 0.00238774,
  0.00216744, 0.00194393, 0.0017175, 0.00148844, 0.00125705,
  0.00102367, 0.000788618, 0.000552265, 0.000314978, 7.71497e-05,
  -0.000160814, -0.000398486, -0.000635423, -0.000871162, -0.00110522,
  -0.00133709, -0.00156626, -0.00179217, -0.00201427, -0.00223196,
  -0.00244464, -0.00265167, -0.00285239, -0.00304613, -0.00323219,
  -0.00340982, -0.00357828, -0.00373678, -0.00388451, -0.00402064,
  -0.0041443, -0.0042546, -0.00435061, -0.00443139, -0.00449594,
  -0.00454326, -0.0045723, -0.00458198, -0.00457118, -0.00453876,
  -0.00448353, -0.00440429, -0.00429977, -0.00416869, -0.00400972,
  -0.00382149, -0.00360259, -0.00335159, -0.00306699, -0.00274727,
  -0.00239085, -0.00199612, -0.00156142, -0.00108505, -0.000565256,
  -2.45098e-07}; const G4double G4ParticleHPFastLegendre::l17[3601] = {-1,
  -0.916778, -0.837046, -0.760708, -0.687669, -0.617836, -0.551119,
  -0.487428, -0.426676, -0.368778, -0.313651, -0.261212, -0.211382,
  -0.164082, -0.119236, -0.0767687, -0.0366065, 0.00132215, 0.0370875,
  0.0707583, 0.102402, 0.132083, 0.159867, 0.185816, 0.209992,
  0.232454, 0.253261, 0.272471, 0.290139, 0.306319, 0.321066,
  0.334431, 0.346465, 0.357218, 0.366738, 0.375073, 0.382268,
  0.388369, 0.393419, 0.397462, 0.400538, 0.40269, 0.403956, 0.404374,
  0.403984, 0.402821, 0.400921, 0.398319, 0.395049, 0.391144,
  0.386636, 0.381555, 0.375933, 0.369799, 0.363181, 0.356108,
  0.348606, 0.340703, 0.332422, 0.32379, 0.314831, 0.305567, 0.296021,
  0.286216, 0.276173, 0.265912, 0.255453, 0.244816, 0.234019,
  0.223081, 0.212019, 0.20085, 0.189591, 0.178257, 0.166863, 0.155425,
  0.143956, 0.132471, 0.120982, 0.109502, 0.0980438, 0.0866188,
  0.0752382, 0.0639131, 0.0526538, 0.0414703, 0.0303722, 0.0193688,
  0.00846862, -0.00231977, -0.0129884, -0.0235297, -0.0339363,
  -0.0442014, -0.0543183, -0.0642809, -0.0740832, -0.0837197,
  -0.093185, -0.102474, -0.111583, -0.120506, -0.12924, -0.137782,
  -0.146126, -0.154271, -0.162213, -0.169949, -0.177476, -0.184794,
  -0.191898, -0.198788, -0.205462, -0.211918, -0.218155, -0.224172,
  -0.229969, -0.235544, -0.240897, -0.246027, -0.250935, -0.255621,
  -0.260085, -0.264326, -0.268346, -0.272145, -0.275724, -0.279084,
  -0.282225, -0.285149, -0.287857, -0.290351, -0.292632, -0.294701,
  -0.296561, -0.298213, -0.299658, -0.300899, -0.301939, -0.302778,
  -0.30342, -0.303866, -0.304119, -0.304182, -0.304057, -0.303746,
  -0.303252, -0.302578, -0.301727, -0.300701, -0.299503, -0.298137,
  -0.296604, -0.294908, -0.293053, -0.29104, -0.288873, -0.286556,
  -0.284091, -0.281481, -0.278731, -0.275841, -0.272817, -0.269662,
  -0.266378, -0.262968, -0.259437, -0.255787, -0.252021, -0.248144,
  -0.244157, -0.240066, -0.235871, -0.231578, -0.227189, -0.222708,
  -0.218138, -0.213481, -0.208742, -0.203924, -0.199029, -0.194062,
  -0.189024, -0.18392, -0.178753, -0.173525, -0.168241, -0.162902,
  -0.157512, -0.152074, -0.146591, -0.141067, -0.135503, -0.129904,
  -0.124271, -0.118609, -0.112919, -0.107205, -0.101469, -0.0957145,
  -0.089944, -0.0841603, -0.0783659, -0.0725636, -0.066756,
  -0.0609457, -0.0551352, -0.049327, -0.0435237, -0.0377277,
  -0.0319414, -0.0261672, -0.0204074, -0.0146644, -0.00894035,
  -0.00323755, 0.00244183, 0.00809562, 0.0137217, 0.019318, 0.0248826,
  0.0304133, 0.0359082, 0.0413654, 0.0467831, 0.0521593, 0.0574923,
  0.0627803, 0.0680216, 0.0732145, 0.0783573, 0.0834485, 0.0884864,
  0.0934696, 0.0983965, 0.103266, 0.108076, 0.112825, 0.117513,
  0.122138, 0.126698, 0.131193, 0.135621, 0.139981, 0.144272,
  0.148493, 0.152643, 0.15672, 0.160725, 0.164656, 0.168512, 0.172292,
  0.175995, 0.179622, 0.18317, 0.18664, 0.19003, 0.19334, 0.19657,
  0.199718, 0.202785, 0.205769, 0.208671, 0.21149, 0.214226, 0.216877,
  0.219445, 0.221928, 0.224326, 0.226639, 0.228867, 0.23101, 0.233067,
  0.235039, 0.236925, 0.238726, 0.24044, 0.242069, 0.243612, 0.24507,
  0.246442, 0.247728, 0.248929, 0.250045, 0.251076, 0.252022,
  0.252884, 0.253661, 0.254355, 0.254965, 0.255491, 0.255935,
  0.256296, 0.256574, 0.256771, 0.256887, 0.256922, 0.256876,
  0.256751, 0.256546, 0.256262, 0.2559, 0.255461, 0.254944, 0.254351,
  0.253683, 0.252939, 0.252121, 0.251228, 0.250263, 0.249226,
  0.248116, 0.246936, 0.245686, 0.244366, 0.242978, 0.241522,
  0.239999, 0.23841, 0.236756, 0.235037, 0.233255, 0.23141, 0.229503,
  0.227535, 0.225507, 0.22342, 0.221275, 0.219073, 0.216814, 0.2145,
  0.212131, 0.209709, 0.207234, 0.204708, 0.202131, 0.199505, 0.19683,
  0.194107, 0.191338, 0.188523, 0.185664, 0.182761, 0.179816,
  0.176829, 0.173802, 0.170735, 0.167629, 0.164487, 0.161308,
  0.158093, 0.154845, 0.151563, 0.148249, 0.144903, 0.141528,
  0.138123, 0.134691, 0.131231, 0.127746, 0.124235, 0.120701,
  0.117144, 0.113565, 0.109965, 0.106345, 0.102707, 0.0990506,
  0.0953779, 0.0916894, 0.0879863, 0.0842696, 0.0805402, 0.0767992,
  0.0730475, 0.0692862, 0.0655162, 0.0617385, 0.0579542, 0.0541641,
  0.0503693, 0.0465707, 0.0427693, 0.038966, 0.0351618, 0.0313576,
  0.0275543, 0.0237529, 0.0199543, 0.0161594, 0.0123691, 0.00858436,
  0.00480598, 0.00103488, -0.00272806, -0.00648197, -0.010226,
  -0.0139593, -0.017681, -0.0213903, -0.0250863, -0.0287683,
  -0.0324354, -0.0360868, -0.0397217, -0.0433394, -0.0469391,
  -0.0505199, -0.0540812, -0.0576222, -0.0611422, -0.0646404,
  -0.0681162, -0.0715687, -0.0749974, -0.0784015, -0.0817803,
  -0.0851332, -0.0884595, -0.0917585, -0.0950297, -0.0982724,
  -0.101486, -0.10467, -0.107823, -0.110946, -0.114037, -0.117096,
  -0.120123, -0.123116, -0.126076, -0.129001, -0.131892, -0.134747,
  -0.137567, -0.14035, -0.143097, -0.145807, -0.148479, -0.151113,
  -0.153708, -0.156265, -0.158783, -0.16126, -0.163698, -0.166096,
  -0.168452, -0.170767, -0.173041, -0.175274, -0.177464, -0.179611,
  -0.181716, -0.183778, -0.185796, -0.187771, -0.189702, -0.191589,
  -0.193432, -0.19523, -0.196983, -0.198692, -0.200355, -0.201973,
  -0.203546, -0.205073, -0.206554, -0.207989, -0.209378, -0.210721,
  -0.212018, -0.213268, -0.214472, -0.215629, -0.216739, -0.217803,
  -0.21882, -0.21979, -0.220714, -0.22159, -0.22242, -0.223203,
  -0.223939, -0.224628, -0.22527, -0.225866, -0.226414, -0.226917,
  -0.227372, -0.227781, -0.228143, -0.228459, -0.228729, -0.228953,
  -0.22913, -0.229261, -0.229347, -0.229387, -0.229381, -0.229331,
  -0.229234, -0.229093, -0.228907, -0.228676, -0.228401, -0.228081,
  -0.227718, -0.22731, -0.226859, -0.226364, -0.225826, -0.225246,
  -0.224622, -0.223956, -0.223248, -0.222498, -0.221707, -0.220874,
  -0.22, -0.219086, -0.218131, -0.217136, -0.216101, -0.215026,
  -0.213913, -0.21276, -0.211569, -0.210341, -0.209074, -0.20777,
  -0.206428, -0.20505, -0.203636, -0.202186, -0.2007, -0.199179,
  -0.197623, -0.196033, -0.194409, -0.192751, -0.19106, -0.189336,
  -0.18758, -0.185792, -0.183973, -0.182122, -0.180241, -0.178329,
  -0.176388, -0.174417, -0.172418, -0.17039, -0.168334, -0.16625,
  -0.16414, -0.162002, -0.159839, -0.15765, -0.155435, -0.153196,
  -0.150933, -0.148646, -0.146335, -0.144002, -0.141646, -0.139268,
  -0.136869, -0.134449, -0.132009, -0.129548, -0.127068, -0.124569,
  -0.122052, -0.119517, -0.116964, -0.114394, -0.111808, -0.109206,
  -0.106588, -0.103955, -0.101308, -0.0986465, -0.0959718, -0.093284,
  -0.0905837, -0.0878714, -0.0851477, -0.0824129, -0.0796676,
  -0.0769124, -0.0741476, -0.0713738, -0.0685915, -0.0658012,
  -0.0630034, -0.0601986, -0.0573873, -0.05457, -0.0517471,
  -0.0489192, -0.0460867, -0.0432502, -0.0404101, -0.0375669,
  -0.0347212, -0.0318733, -0.0290238, -0.0261732, -0.0233219,
  -0.0204704, -0.0176192, -0.0147688, -0.0119196, -0.00907211,
  -0.0062268, -0.00338413, -0.000544558, 0.00229145, 0.00512343,
  0.00795093, 0.0107735, 0.0135907, 0.016402, 0.0192071, 0.0220054,
  0.0247966, 0.0275802, 0.0303557, 0.0331227, 0.0358809, 0.0386297,
  0.0413688, 0.0440977, 0.0468161, 0.0495234, 0.0522193, 0.0549034,
  0.0575753, 0.0602346, 0.0628808, 0.0655137, 0.0681327, 0.0707376,
  0.0733279, 0.0759032, 0.0784633, 0.0810076, 0.0835359, 0.0860478,
  0.0885428, 0.0910208, 0.0934813, 0.0959239, 0.0983483, 0.100754,
  0.103141, 0.105509, 0.107858, 0.110186, 0.112495, 0.114783, 0.11705,
  0.119296, 0.12152, 0.123723, 0.125904, 0.128063, 0.130199, 0.132313,
  0.134403, 0.13647, 0.138513, 0.140533, 0.142528, 0.144499, 0.146445,
  0.148366, 0.150262, 0.152133, 0.153978, 0.155798, 0.157591,
  0.159358, 0.161098, 0.162812, 0.164499, 0.166159, 0.167792,
  0.169397, 0.170974, 0.172524, 0.174046, 0.17554, 0.177005, 0.178442,
  0.17985, 0.181229, 0.182579, 0.183901, 0.185193, 0.186456, 0.187689,
  0.188893, 0.190067, 0.191211, 0.192326, 0.19341, 0.194464, 0.195488,
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  0.107823, 0.10467, 0.101486, 0.0982724, 0.0950297, 0.0917585,
  0.0884595, 0.0851332, 0.0817803, 0.0784015, 0.0749974, 0.0715687,
  0.0681162, 0.0646404, 0.0611422, 0.0576222, 0.0540812, 0.0505199,
  0.0469391, 0.0433394, 0.0397217, 0.0360868, 0.0324354, 0.0287683,
  0.0250863, 0.0213903, 0.017681, 0.0139593, 0.010226, 0.00648197,
  0.00272806, -0.00103488, -0.00480598, -0.00858436, -0.0123691,
  -0.0161594, -0.0199543, -0.0237529, -0.0275543, -0.0313576,
  -0.0351618, -0.038966, -0.0427693, -0.0465707, -0.0503693,
  -0.0541641, -0.0579542, -0.0617385, -0.0655162, -0.0692862,
  -0.0730475, -0.0767992, -0.0805402, -0.0842696, -0.0879863,
  -0.0916894, -0.0953779, -0.0990506, -0.102707, -0.106345, -0.109965,
  -0.113565, -0.117144, -0.120701, -0.124235, -0.127746, -0.131231,
  -0.134691, -0.138123, -0.141528, -0.144903, -0.148249, -0.151563,
  -0.154845, -0.158093, -0.161308, -0.164487, -0.167629, -0.170735,
  -0.173802, -0.176829, -0.179816, -0.182761, -0.185664, -0.188523,
  -0.191338, -0.194107, -0.19683, -0.199505, -0.202131, -0.204708,
  -0.207234, -0.209709, -0.212131, -0.2145, -0.216814, -0.219073,
  -0.221275, -0.22342, -0.225507, -0.227535, -0.229503, -0.23141,
  -0.233255, -0.235037, -0.236756, -0.23841, -0.239999, -0.241522,
  -0.242978, -0.244366, -0.245686, -0.246936, -0.248116, -0.249226,
  -0.250263, -0.251228, -0.252121, -0.252939, -0.253683, -0.254351,
  -0.254944, -0.255461, -0.2559, -0.256262, -0.256546, -0.256751,
  -0.256876, -0.256922, -0.256887, -0.256771, -0.256574, -0.256296,
  -0.255935, -0.255491, -0.254965, -0.254355, -0.253661, -0.252884,
  -0.252022, -0.251076, -0.250045, -0.248929, -0.247728, -0.246442,
  -0.24507, -0.243612, -0.242069, -0.24044, -0.238726, -0.236925,
  -0.235039, -0.233067, -0.23101, -0.228867, -0.226639, -0.224326,
  -0.221928, -0.219445, -0.216877, -0.214226, -0.21149, -0.208671,
  -0.205769, -0.202785, -0.199718, -0.19657, -0.19334, -0.19003,
  -0.18664, -0.18317, -0.179622, -0.175995, -0.172292, -0.168512,
  -0.164656, -0.160725, -0.15672, -0.152643, -0.148493, -0.144272,
  -0.139981, -0.135621, -0.131193, -0.126698, -0.122138, -0.117513,
  -0.112825, -0.108076, -0.103266, -0.0983965, -0.0934696, -0.0884864,
  -0.0834485, -0.0783573, -0.0732145, -0.0680216, -0.0627803,
  -0.0574923, -0.0521593, -0.0467831, -0.0413654, -0.0359082,
  -0.0304133, -0.0248826, -0.019318, -0.0137217, -0.00809562,
  -0.00244183, 0.00323755, 0.00894035, 0.0146644, 0.0204074,
  0.0261672, 0.0319414, 0.0377277, 0.0435237, 0.049327, 0.0551352,
  0.0609457, 0.066756, 0.0725636, 0.0783659, 0.0841603, 0.089944,
  0.0957145, 0.101469, 0.107205, 0.112919, 0.118609, 0.124271,
  0.129904, 0.135503, 0.141067, 0.146591, 0.152074, 0.157512,
  0.162902, 0.168241, 0.173525, 0.178753, 0.18392, 0.189024, 0.194062,
  0.199029, 0.203924, 0.208742, 0.213481, 0.218138, 0.222708,
  0.227189, 0.231578, 0.235871, 0.240066, 0.244157, 0.248144,
  0.252021, 0.255787, 0.259437, 0.262968, 0.266378, 0.269662,
  0.272817, 0.275841, 0.278731, 0.281481, 0.284091, 0.286556,
  0.288873, 0.29104, 0.293053, 0.294908, 0.296604, 0.298137, 0.299503,
  0.300701, 0.301727, 0.302578, 0.303252, 0.303746, 0.304057,
  0.304182, 0.304119, 0.303866, 0.30342, 0.302778, 0.301939, 0.300899,
  0.299658, 0.298213, 0.296561, 0.294701, 0.292632, 0.290351,
  0.287857, 0.285149, 0.282225, 0.279084, 0.275724, 0.272145,
  0.268346, 0.264326, 0.260085, 0.255621, 0.250935, 0.246027,
  0.240897, 0.235544, 0.229969, 0.224172, 0.218155, 0.211918,
  0.205462, 0.198788, 0.191898, 0.184794, 0.177476, 0.169949,
  0.162213, 0.154271, 0.146126, 0.137782, 0.12924, 0.120506, 0.111583,
  0.102474, 0.093185, 0.0837197, 0.0740832, 0.0642809, 0.0543183,
  0.0442014, 0.0339363, 0.0235297, 0.0129884, 0.00231977, -0.00846862,
  -0.0193688, -0.0303722, -0.0414703, -0.0526538, -0.0639131,
  -0.0752382, -0.0866188, -0.0980438, -0.109502, -0.120982, -0.132471,
  -0.143956, -0.155425, -0.166863, -0.178257, -0.189591, -0.20085,
  -0.212019, -0.223081, -0.234019, -0.244816, -0.255453, -0.265912,
  -0.276173, -0.286216, -0.296021, -0.305567, -0.314831, -0.32379,
  -0.332422, -0.340703, -0.348606, -0.356108, -0.363181, -0.369799,
  -0.375933, -0.381555, -0.386636, -0.391144, -0.395049, -0.398319,
  -0.400921, -0.402821, -0.403984, -0.404374, -0.403956, -0.40269,
  -0.400538, -0.397462, -0.393419, -0.388369, -0.382268, -0.375073,
  -0.366738, -0.357218, -0.346465, -0.334431, -0.321066, -0.306319,
  -0.290139, -0.272471, -0.253261, -0.232454, -0.209992, -0.185816,
  -0.159867, -0.132083, -0.102402, -0.0707583, -0.0370875,
  -0.00132215, 0.0366065, 0.0767687, 0.119236, 0.164082, 0.211382,
  0.261212, 0.313651, 0.368778, 0.426676, 0.487428, 0.551119,
  0.617836, 0.687669, 0.760708, 0.837046, 0.916778, 1}; const G4double
  G4ParticleHPFastLegendre::i17[3601] = {0, -0.000532269, -0.00101928,
  -0.00146294, -0.00186511, -0.0022276, -0.00255216, -0.00284051,
  -0.00309429, -0.00331511, -0.00350454, -0.0036641, -0.00379526,
  -0.00389943, -0.00397802, -0.00403235, -0.00406374, -0.00407343,
  -0.00406266, -0.00403261, -0.00398441, -0.00391918, -0.003838,
  -0.00374189, -0.00363186, -0.00350888, -0.00337388, -0.00322777,
  -0.00307141, -0.00290566, -0.00273132, -0.00254917, -0.00235997,
  -0.00216444, -0.00196329, -0.00175717, -0.00154675, -0.00133263,
  -0.00111542, -0.000895682, -0.00067397, -0.000450808, -0.000226698,
  -2.12281e-06, 0.000222459, 0.000446608, 0.000669904, 0.000891948,
  0.00111236, 0.00133078, 0.00154685, 0.00176027, 0.00197071,
  0.00217788, 0.0023815, 0.00258133, 0.0027771, 0.0029686, 0.00315559,
  0.00333789, 0.0035153, 0.00368765, 0.00385477, 0.00401651,
  0.00417274, 0.00432333, 0.00446816, 0.00460713, 0.00474015,
  0.00486713, 0.004988, 0.00510269, 0.00521115, 0.00531333, 0.0054092,
  0.00549872, 0.00558189, 0.00565867, 0.00572908, 0.0057931,
  0.00585075, 0.00590204, 0.005947, 0.00598565, 0.00601803,
  0.00604417, 0.00606412, 0.00607793, 0.00608566, 0.00608736,
  0.0060831, 0.00607295, 0.00605699, 0.00603527, 0.0060079,
  0.00597495, 0.00593651, 0.00589266, 0.00584351, 0.00578916,
  0.00572969, 0.00566521, 0.00559583, 0.00552164, 0.00544277,
  0.00535932, 0.0052714, 0.00517912, 0.0050826, 0.00498196,
  0.00487732, 0.00476878, 0.00465648, 0.00454053, 0.00442105,
  0.00429818, 0.00417201, 0.00404269, 0.00391034, 0.00377507,
  0.00363702, 0.0034963, 0.00335303, 0.00320735, 0.00305938,
  0.00290923, 0.00275703, 0.00260291, 0.00244698, 0.00228937,
  0.00213019, 0.00196957, 0.00180762, 0.00164446, 0.00148021,
  0.00131498, 0.0011489, 0.000982067, 0.000814602, 0.000646616,
  0.000478218, 0.000309518, 0.000140624, -2.83578e-05, -0.000197322,
  -0.000366165, -0.000534784, -0.000703079, -0.00087095, -0.0010383,
  -0.00120503, -0.00137105, -0.00153626, -0.00170058, -0.00186391,
  -0.00202617, -0.00218726, -0.00234711, -0.00250563, -0.00266274,
  -0.00281836, -0.00297242, -0.00312483, -0.00327552, -0.00342443,
  -0.00357147, -0.00371659, -0.00385972, -0.00400078, -0.00413972,
  -0.00427647, -0.00441099, -0.0045432, -0.00467305, -0.00480049,
  -0.00492546, -0.00504792, -0.00516782, -0.00528511, -0.00539974,
  -0.00551168, -0.00562087, -0.00572729, -0.00583089, -0.00593163,
  -0.00602949, -0.00612443, -0.00621642, -0.00630542, -0.00639142,
  -0.00647439, -0.00655429, -0.00663112, -0.00670484, -0.00677545,
  -0.00684292, -0.00690723, -0.00696838, -0.00702634, -0.00708112,
  -0.00713269, -0.00718105, -0.0072262, -0.00726813, -0.00730683,
  -0.0073423, -0.00737454, -0.00740356, -0.00742935, -0.00745192,
  -0.00747127, -0.00748741, -0.00750035, -0.00751009, -0.00751665,
  -0.00752003, -0.00752025, -0.00751732, -0.00751126, -0.00750208,
  -0.0074898, -0.00747444, -0.00745601, -0.00743455, -0.00741006,
  -0.00738257, -0.00735211, -0.0073187, -0.00728237, -0.00724313,
  -0.00720103, -0.00715608, -0.00710832, -0.00705777, -0.00700447,
  -0.00694845, -0.00688974, -0.00682838, -0.00676439, -0.00669782,
  -0.00662869, -0.00655705, -0.00648294, -0.00640638, -0.00632741,
  -0.00624609, -0.00616244, -0.0060765, -0.00598831, -0.00589793,
  -0.00580538, -0.00571071, -0.00561396, -0.00551517, -0.00541439,
  -0.00531166, -0.00520703, -0.00510053, -0.00499222, -0.00488214,
  -0.00477033, -0.00465684, -0.00454171, -0.00442499, -0.00430674,
  -0.00418698, -0.00406578, -0.00394317, -0.0038192, -0.00369393,
  -0.0035674, -0.00343965, -0.00331074, -0.0031807, -0.0030496,
  -0.00291747, -0.00278436, -0.00265033, -0.00251541, -0.00237966,
  -0.00224313, -0.00210585, -0.00196789, -0.00182928, -0.00169008,
  -0.00155032, -0.00141007, -0.00126936, -0.00112824, -0.000986756,
  -0.000844959, -0.000702892, -0.000560602, -0.000418134,
  -0.000275534, -0.000132848, 9.88078e-06, 0.000152606, 0.000295284,
  0.00043787, 0.000580321, 0.000722592, 0.00086464, 0.00100642,
  0.0011479, 0.00128902, 0.00142975, 0.00157005, 0.00170987,
  0.00184918, 0.00198793, 0.00212609, 0.0022636, 0.00240045,
  0.00253658, 0.00267195, 0.00280654, 0.0029403, 0.00307319,
  0.00320519, 0.00333624, 0.00346633, 0.0035954, 0.00372344,
  0.0038504, 0.00397624, 0.00410095, 0.00422448, 0.0043468,
  0.00446788, 0.00458769, 0.00470621, 0.00482339, 0.00493921,
  0.00505364, 0.00516665, 0.00527822, 0.00538831, 0.00549691,
  0.00560398, 0.0057095, 0.00581344, 0.00591578, 0.0060165,
  0.00611557, 0.00621297, 0.00630868, 0.00640267, 0.00649492,
  0.00658542, 0.00667415, 0.00676108, 0.00684619, 0.00692947,
  0.00701091, 0.00709047, 0.00716816, 0.00724394, 0.00731781,
  0.00738975, 0.00745974, 0.00752778, 0.00759385, 0.00765794,
  0.00772003, 0.00778012, 0.00783819, 0.00789423, 0.00794824,
  0.0080002, 0.00805011, 0.00809796, 0.00814374, 0.00818745,
  0.00822908, 0.00826861, 0.00830606, 0.00834141, 0.00837466,
  0.0084058, 0.00843484, 0.00846176, 0.00848658, 0.00850929,
  0.00852988, 0.00854835, 0.00856472, 0.00857897, 0.00859111,
  0.00860114, 0.00860907, 0.00861489, 0.00861861, 0.00862023,
  0.00861976, 0.0086172, 0.00861256, 0.00860584, 0.00859705,
  0.0085862, 0.00857328, 0.00855832, 0.00854132, 0.00852229,
  0.00850123, 0.00847816, 0.00845308, 0.008426, 0.00839695,
  0.00836592, 0.00833293, 0.00829799, 0.00826111, 0.00822231,
  0.00818159, 0.00813898, 0.00809448, 0.00804812, 0.0079999,
  0.00794983, 0.00789795, 0.00784425, 0.00778876, 0.00773149,
  0.00767247, 0.0076117, 0.0075492, 0.00748499, 0.0074191, 0.00735153,
  0.00728231, 0.00721145, 0.00713898, 0.00706491, 0.00698927,
  0.00691207, 0.00683333, 0.00675308, 0.00667133, 0.00658811,
  0.00650343, 0.00641733, 0.00632981, 0.00624091, 0.00615064,
  0.00605903, 0.0059661, 0.00587187, 0.00577637, 0.00567961,
  0.00558162, 0.00548244, 0.00538206, 0.00528054, 0.00517788,
  0.0050741, 0.00496925, 0.00486333, 0.00475638, 0.00464842,
  0.00453947, 0.00442955, 0.00431871, 0.00420695, 0.0040943,
  0.00398079, 0.00386645, 0.0037513, 0.00363536, 0.00351866,
  0.00340123, 0.00328309, 0.00316428, 0.0030448, 0.0029247,
  0.00280399, 0.0026827, 0.00256086, 0.0024385, 0.00231563, 0.0021923,
  0.00206851, 0.0019443, 0.0018197, 0.00169472, 0.00156941,
  0.00144377, 0.00131784, 0.00119165, 0.00106521, 0.000938567,
  0.000811731, 0.000684732, 0.000557596, 0.000430349, 0.000303016,
  0.000175622, 4.81937e-05, -7.92442e-05, -0.000206666, -0.000334048,
  -0.000461363, -0.000588587, -0.000715696, -0.000842664,
  -0.000969467, -0.00109608, -0.00122248, -0.00134864, -0.00147454,
  -0.00160015, -0.00172545, -0.00185041, -0.00197502, -0.00209924,
  -0.00222306, -0.00234646, -0.0024694, -0.00259186, -0.00271383,
  -0.00283529, -0.00295619, -0.00307654, -0.0031963, -0.00331545,
  -0.00343397, -0.00355184, -0.00366904, -0.00378555, -0.00390134,
  -0.0040164, -0.0041307, -0.00424422, -0.00435695, -0.00446887,
  -0.00457995, -0.00469017, -0.00479952, -0.00490798, -0.00501553,
  -0.00512214, -0.00522781, -0.00533251, -0.00543623, -0.00553894,
  -0.00564064, -0.00574129, -0.0058409, -0.00593943, -0.00603688,
  -0.00613322, -0.00622845, -0.00632254, -0.00641548, -0.00650726,
  -0.00659785, -0.00668726, -0.00677545, -0.00686242, -0.00694815,
  -0.00703263, -0.00711585, -0.00719779, -0.00727844, -0.00735779,
  -0.00743582, -0.00751253, -0.00758789, -0.00766191, -0.00773456,
  -0.00780585, -0.00787575, -0.00794425, -0.00801136, -0.00807705,
  -0.00814131, -0.00820415, -0.00826554, -0.00832549, -0.00838397,
  -0.00844099, -0.00849653, -0.00855059, -0.00860317, -0.00865424,
  -0.00870381, -0.00875187, -0.00879842, -0.00884344, -0.00888694,
  -0.0089289, -0.00896932, -0.0090082, -0.00904553, -0.00908131,
  -0.00911553, -0.0091482, -0.0091793, -0.00920883, -0.00923679,
  -0.00926318, -0.009288, -0.00931124, -0.0093329, -0.00935298,
  -0.00937148, -0.00938839, -0.00940373, -0.00941748, -0.00942964,
  -0.00944022, -0.00944922, -0.00945663, -0.00946246, -0.00946671,
  -0.00946938, -0.00947047, -0.00946999, -0.00946793, -0.00946429,
  -0.00945909, -0.00945232, -0.00944399, -0.0094341, -0.00942265,
  -0.00940965, -0.0093951, -0.00937901, -0.00936138, -0.00934221,
  -0.00932151, -0.00929929, -0.00927555, -0.00925029, -0.00922353,
  -0.00919527, -0.00916551, -0.00913427, -0.00910154, -0.00906734,
  -0.00903168, -0.00899455, -0.00895598, -0.00891596, -0.0088745,
  -0.00883162, -0.00878732, -0.00874162, -0.00869451, -0.00864601,
  -0.00859613, -0.00854488, -0.00849227, -0.0084383, -0.00838299,
  -0.00832636, -0.0082684, -0.00820913, -0.00814856, -0.0080867,
  -0.00802357, -0.00795917, -0.00789352, -0.00782662, -0.0077585,
  -0.00768916, -0.00761861, -0.00754687, -0.00747395, -0.00739986,
  -0.00732461, -0.00724823, -0.00717071, -0.00709208, -0.00701235,
  -0.00693153, -0.00684964, -0.00676669, -0.00668269, -0.00659766,
  -0.00651161, -0.00642455, -0.00633651, -0.00624749, -0.00615752,
  -0.0060666, -0.00597474, -0.00588198, -0.00578831, -0.00569377,
  -0.00559835, -0.00550208, -0.00540497, -0.00530704, -0.0052083,
  -0.00510877, -0.00500847, -0.00490741, -0.00480561, -0.00470309,
  -0.00459985, -0.00449592, -0.00439131, -0.00428604, -0.00418013,
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