///////////////////////////////////////////////////////////////// // // Information for the EnergyRSP fitter // // Author: J. Walker // // REVISION HISTORY: 2015-09-28 J. Walker: Initial version // 2016-06-08 J. Walker: Re-coordinated predicted Cerenkov photons // 2017-11-28 A. Zummo: Re-coordinated all lookup tables // 2018-01-18 A. Zummo: Re-coordinated all lookup tables for Nucleon Decay Rat Tag // 2018-09-21 L. Lebanowski: add internalwater_snoplus // //////////////////////////////////////////////////////////////// { type: "FIT_ENERGY_RSP", version: 1, index: "", // default, internalwater_snoplus run_range: [0, 0], pass: 0, comment: "", timestamp: "", max_iterations: 10, tolerance: 0.2, // Maximum percentage difference between effective and predicted PMT hits r_max: 8000.0, // Maximum radius of valid fits energies: [0.26, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0, ], predicted_energies: [0.26, 0.75, 1, 1.25, 1.5, 1.75, 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0, ], costhetaValues: [-0.9750, -0.9250, -0.8750, -0.8250, -0.7750, -0.7250, -0.6750, -0.6250, -0.5750, -0.5250, -0.4750, -0.4250, -0.3750, -0.3250, -0.2750, -0.2250, -0.1750, -0.1250, -0.0750, -0.0250, 0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, ], event_dir_dot_initial_light_vec: [-0.9750, -0.9250, -0.8750, -0.8250, -0.7750, -0.7250, -0.6750, -0.6250, -0.5750, -0.5250, -0.4750, -0.4250, -0.3750, -0.3250, -0.2750, -0.2250, -0.1750, -0.1250, -0.0750, -0.0250, 0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, ], radii: [0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, 1.0250, 1.0750, 1.1250, 1.1750, 1.2250, 1.2750, 1.3250, 1.3750, 1.4250, 1.4750, 1.5250, 1.5750, 1.6250, 1.6750, 1.7250, 1.7750, 1.8250, 1.8750, 1.9250, 1.9750, 2.0250, 2.0750, 2.1250, 2.1750, 2.2250, 2.2750, 2.3250, 2.3750, ], angularValues: [0.50, 1.50, 2.50, 3.50, 4.50, 5.50, 6.50, 7.50, 8.50, 9.50, 10.50, 11.50, 12.50, 13.50, 14.50, 15.50, 16.50, 17.50, 18.50, 19.50, 20.50, 21.50, 22.50, 23.50, 24.50, 25.50, 26.50, 27.50, 28.50, 29.50, 30.50, 31.50, 32.50, 33.50, 34.50, 35.50, 36.50, 37.50, 38.50, 39.50, 40.50, 41.50, 42.50, 43.50, 44.50, 45.50, 46.50, 47.50, 48.50, 49.50, 50.50, 51.50, 52.50, 53.50, 54.50, 55.50, 56.50, 57.50, 58.50, 59.50, 60.50, 61.50, 62.50, 63.50, 64.50, 65.50, 66.50, 67.50, 68.50, 69.50, 70.50, 71.50, 72.50, 73.50, 74.50, 75.50, 76.50, 77.50, 78.50, 79.50, 80.50, 81.50, 82.50, 83.50, 84.50, 85.50, 86.50, 87.50, 88.50, 89.50, ], nphotons_energy: [0.0, 592.7141, 1008.8397, 1428.7709, 1862.2001, 2275.7363, 2695.6525, 3120.0659, 3533.0406, 3940.5590, 4371.5063, 4771.1593, 5172.3301, 5594.7215, 5988.6842, 6434.2886, 6826.5935, 7221.7332, 7612.9583, 8008.0952, 8812.5949, 9616.7653, 10410.9762, 11198.0040, 11993.2399, 12831.4884, 13581.1645, 14354.3227, 15185.0169, 15892.4476, ], // Scale factor associated with Cerenkov angular distribution. cerenkov_angular_dist: [ // Scale factors for energy = 0.26 0.0422, 0.0466, 0.0552, 0.0598, 0.0620, 0.0667, 0.0718, 0.0814, 0.0860, 0.0917, 0.1072, 0.1120, 0.1275, 0.1354, 0.1498, 0.1655, 0.1776, 0.1990, 0.2147, 0.2351, 0.2618, 0.2858, 0.3217, 0.3488, 0.3960, 0.4371, 0.4879, 0.5537, 0.6231, 0.7223, 0.8309, 0.9701, 1.1585, 1.4059, 1.7776, 1.8573, 1.6003, 1.3820, 1.2179, 1.0742, // Scale factors for energy = 2.0 0.0422, 0.0466, 0.0552, 0.0598, 0.0620, 0.0667, 0.0718, 0.0814, 0.0860, 0.0917, 0.1072, 0.1120, 0.1275, 0.1354, 0.1498, 0.1655, 0.1776, 0.1990, 0.2147, 0.2351, 0.2618, 0.2858, 0.3217, 0.3488, 0.3960, 0.4371, 0.4879, 0.5537, 0.6231, 0.7223, 0.8309, 0.9701, 1.1585, 1.4059, 1.7776, 1.8573, 1.6003, 1.3820, 1.2179, 1.0742, // Scale factors for energy = 3.0 0.0374, 0.0455, 0.0479, 0.0556, 0.0579, 0.0639, 0.0673, 0.0742, 0.0809, 0.0880, 0.0954, 0.1050, 0.1129, 0.1228, 0.1375, 0.1479, 0.1643, 0.1853, 0.2056, 0.2269, 0.2557, 0.2792, 0.3145, 0.3474, 0.3942, 0.4357, 0.4921, 0.5589, 0.6383, 0.7383, 0.8689, 1.0087, 1.2147, 1.4846, 1.8375, 1.8360, 1.5679, 1.3656, 1.2003, 1.0390, // Scale factors for energy = 4.0 0.0465, 0.0480, 0.0519, 0.0561, 0.0582, 0.0652, 0.0730, 0.0768, 0.0826, 0.0880, 0.0980, 0.1049, 0.1167, 0.1250, 0.1330, 0.1508, 0.1666, 0.1845, 0.1998, 0.2183, 0.2421, 0.2726, 0.3058, 0.3452, 0.3874, 0.4421, 0.5046, 0.5714, 0.6602, 0.7624, 0.8801, 1.0251, 1.2201, 1.4940, 1.8670, 1.8084, 1.5311, 1.3298, 1.1803, 1.0263, // Scale factors for energy = 5.0 0.0488, 0.0484, 0.0518, 0.0563, 0.0598, 0.0632, 0.0680, 0.0758, 0.0809, 0.0873, 0.0959, 0.1037, 0.1095, 0.1203, 0.1347, 0.1485, 0.1620, 0.1781, 0.1970, 0.2167, 0.2431, 0.2620, 0.2957, 0.3307, 0.3761, 0.4263, 0.4852, 0.5473, 0.6324, 0.7377, 0.8664, 1.0340, 1.2569, 1.5671, 1.9715, 1.8773, 1.5671, 1.3230, 1.1272, 0.9660, // Scale factors for energy = 6.0 0.0399, 0.0434, 0.0452, 0.0478, 0.0528, 0.0557, 0.0608, 0.0666, 0.0740, 0.0806, 0.0893, 0.0978, 0.1050, 0.1178, 0.1252, 0.1363, 0.1513, 0.1639, 0.1812, 0.2026, 0.2232, 0.2486, 0.2816, 0.3192, 0.3595, 0.4083, 0.4678, 0.5390, 0.6239, 0.7192, 0.8653, 1.0512, 1.3045, 1.6448, 2.0815, 1.9627, 1.6064, 1.3318, 1.0926, 0.9315, // Scale factors for energy = 7.0 0.0481, 0.0490, 0.0515, 0.0520, 0.0558, 0.0588, 0.0625, 0.0658, 0.0733, 0.0786, 0.0840, 0.0889, 0.0962, 0.1073, 0.1193, 0.1295, 0.1440, 0.1557, 0.1758, 0.1964, 0.2192, 0.2418, 0.2750, 0.3101, 0.3479, 0.3963, 0.4541, 0.5242, 0.6162, 0.7201, 0.8727, 1.0626, 1.3107, 1.6679, 2.1385, 2.0033, 1.6157, 1.3318, 1.0869, 0.9124, // Scale factors for energy = 8.0 0.0403, 0.0424, 0.0472, 0.0495, 0.0525, 0.0569, 0.0610, 0.0658, 0.0706, 0.0772, 0.0839, 0.0899, 0.0974, 0.1088, 0.1163, 0.1268, 0.1405, 0.1569, 0.1720, 0.1903, 0.2078, 0.2307, 0.2621, 0.3019, 0.3397, 0.3945, 0.4564, 0.5311, 0.6208, 0.7291, 0.8740, 1.0725, 1.3337, 1.6863, 2.1507, 2.0091, 1.6272, 1.3402, 1.0928, 0.8933, // Scale factors for energy = 9.0 0.0467, 0.0502, 0.0514, 0.0506, 0.0535, 0.0580, 0.0606, 0.0656, 0.0695, 0.0761, 0.0821, 0.0870, 0.0953, 0.1022, 0.1117, 0.1198, 0.1317, 0.1429, 0.1596, 0.1765, 0.1967, 0.2223, 0.2502, 0.2821, 0.3223, 0.3692, 0.4312, 0.5073, 0.6000, 0.7191, 0.8665, 1.0744, 1.3466, 1.7531, 2.2801, 2.1010, 1.6464, 1.3273, 1.0624, 0.8507, // Scale factors for energy = 10.0 0.0294, 0.0315, 0.0349, 0.0386, 0.0419, 0.0468, 0.0508, 0.0547, 0.0598, 0.0655, 0.0707, 0.0782, 0.0873, 0.0953, 0.1059, 0.1149, 0.1284, 0.1440, 0.1581, 0.1775, 0.1965, 0.2207, 0.2468, 0.2810, 0.3203, 0.3687, 0.4274, 0.5040, 0.5974, 0.7228, 0.8792, 1.0856, 1.3704, 1.7863, 2.3263, 2.1324, 1.6734, 1.3321, 1.0701, 0.8445, // Scale factors for energy = 11.0 0.0298, 0.0324, 0.0338, 0.0374, 0.0405, 0.0434, 0.0479, 0.0512, 0.0565, 0.0614, 0.0682, 0.0739, 0.0813, 0.0883, 0.0988, 0.1083, 0.1206, 0.1335, 0.1493, 0.1654, 0.1870, 0.2100, 0.2396, 0.2743, 0.3151, 0.3623, 0.4167, 0.4902, 0.5853, 0.7055, 0.8603, 1.0684, 1.3752, 1.8453, 2.4607, 2.2188, 1.6826, 1.3099, 1.0409, 0.8297, // Scale factors for energy = 12.0 0.0320, 0.0345, 0.0365, 0.0392, 0.0419, 0.0455, 0.0471, 0.0511, 0.0550, 0.0600, 0.0644, 0.0721, 0.0771, 0.0852, 0.0928, 0.1036, 0.1162, 0.1295, 0.1453, 0.1625, 0.1822, 0.2072, 0.2356, 0.2693, 0.3070, 0.3556, 0.4125, 0.4814, 0.5743, 0.7059, 0.8679, 1.0940, 1.3990, 1.8579, 2.4571, 2.2219, 1.7093, 1.3325, 1.0254, 0.8124, // Scale factors for energy = 13.0 0.0308, 0.0319, 0.0351, 0.0387, 0.0427, 0.0448, 0.0497, 0.0544, 0.0584, 0.0644, 0.0700, 0.0759, 0.0827, 0.0903, 0.0987, 0.1090, 0.1212, 0.1341, 0.1490, 0.1659, 0.1865, 0.2088, 0.2364, 0.2696, 0.3052, 0.3514, 0.4099, 0.4849, 0.5750, 0.6918, 0.8513, 1.0704, 1.3873, 1.8649, 2.5198, 2.2443, 1.6896, 1.2934, 1.0114, 0.8008, // Scale factors for energy = 14.0 0.0278, 0.0309, 0.0339, 0.0368, 0.0396, 0.0435, 0.0469, 0.0500, 0.0534, 0.0576, 0.0623, 0.0676, 0.0749, 0.0826, 0.0902, 0.1004, 0.1119, 0.1233, 0.1407, 0.1563, 0.1774, 0.2006, 0.2270, 0.2566, 0.2947, 0.3395, 0.3971, 0.4706, 0.5657, 0.6884, 0.8435, 1.0790, 1.4082, 1.9164, 2.5950, 2.3141, 1.7166, 1.2951, 1.0037, 0.7803, // Scale factors for energy = 15.0 0.0320, 0.0340, 0.0366, 0.0391, 0.0420, 0.0439, 0.0472, 0.0507, 0.0548, 0.0595, 0.0638, 0.0691, 0.0749, 0.0817, 0.0893, 0.0983, 0.1088, 0.1194, 0.1349, 0.1510, 0.1688, 0.1897, 0.2140, 0.2467, 0.2870, 0.3341, 0.3951, 0.4683, 0.5594, 0.6837, 0.8518, 1.0817, 1.4086, 1.9295, 2.6375, 2.3348, 1.7160, 1.3004, 0.9948, 0.7668, // Scale factors for energy = 16.0 0.0321, 0.0344, 0.0361, 0.0380, 0.0400, 0.0427, 0.0455, 0.0500, 0.0532, 0.0573, 0.0628, 0.0673, 0.0734, 0.0804, 0.0890, 0.0976, 0.1073, 0.1188, 0.1325, 0.1476, 0.1661, 0.1860, 0.2113, 0.2435, 0.2817, 0.3287, 0.3830, 0.4530, 0.5521, 0.6716, 0.8382, 1.0792, 1.4144, 1.9543, 2.7021, 2.3764, 1.7208, 1.2956, 0.9851, 0.7508, // Scale factors for energy = 17.0 0.0394, 0.0393, 0.0419, 0.0435, 0.0479, 0.0506, 0.0525, 0.0546, 0.0570, 0.0606, 0.0646, 0.0693, 0.0742, 0.0807, 0.0886, 0.0968, 0.1058, 0.1183, 0.1332, 0.1474, 0.1637, 0.1844, 0.2100, 0.2394, 0.2762, 0.3243, 0.3810, 0.4529, 0.5394, 0.6608, 0.8366, 1.0811, 1.4239, 1.9672, 2.7023, 2.3766, 1.7246, 1.2891, 0.9599, 0.7403, // Scale factors for energy = 18.0 0.0315, 0.0342, 0.0350, 0.0370, 0.0400, 0.0441, 0.0473, 0.0501, 0.0528, 0.0563, 0.0608, 0.0654, 0.0706, 0.0776, 0.0851, 0.0952, 0.1054, 0.1159, 0.1288, 0.1435, 0.1593, 0.1818, 0.2052, 0.2348, 0.2710, 0.3175, 0.3749, 0.4493, 0.5419, 0.6685, 0.8444, 1.0808, 1.4232, 1.9808, 2.7633, 2.4132, 1.7257, 1.2874, 0.9702, 0.7302, // Scale factors for energy = 19.0 0.0346, 0.0360, 0.0376, 0.0385, 0.0408, 0.0434, 0.0469, 0.0495, 0.0538, 0.0568, 0.0616, 0.0663, 0.0709, 0.0769, 0.0846, 0.0922, 0.1012, 0.1124, 0.1251, 0.1405, 0.1579, 0.1788, 0.2015, 0.2330, 0.2702, 0.3175, 0.3745, 0.4471, 0.5417, 0.6634, 0.8341, 1.0622, 1.4269, 2.0097, 2.7909, 2.4368, 1.7301, 1.2717, 0.9579, 0.7248, // Scale factors for energy = 20.0 0.0345, 0.0382, 0.0408, 0.0437, 0.0454, 0.0484, 0.0504, 0.0536, 0.0565, 0.0593, 0.0615, 0.0667, 0.0719, 0.0786, 0.0843, 0.0920, 0.0997, 0.1083, 0.1199, 0.1356, 0.1513, 0.1718, 0.1949, 0.2242, 0.2602, 0.3027, 0.3573, 0.4301, 0.5260, 0.6480, 0.8143, 1.0541, 1.4313, 2.0412, 2.8904, 2.4951, 1.7410, 1.2463, 0.9356, 0.6948, // Scale factors for energy = 22.0 0.0249, 0.0272, 0.0291, 0.0312, 0.0350, 0.0384, 0.0411, 0.0443, 0.0476, 0.0521, 0.0561, 0.0616, 0.0662, 0.0726, 0.0804, 0.0893, 0.0988, 0.1105, 0.1216, 0.1366, 0.1537, 0.1729, 0.1945, 0.2241, 0.2569, 0.2974, 0.3499, 0.4215, 0.5134, 0.6416, 0.8252, 1.0735, 1.4563, 2.0730, 2.9250, 2.5243, 1.7678, 1.2692, 0.9164, 0.6790, // Scale factors for energy = 24.0 0.0305, 0.0323, 0.0345, 0.0362, 0.0382, 0.0405, 0.0428, 0.0470, 0.0511, 0.0549, 0.0588, 0.0620, 0.0678, 0.0732, 0.0791, 0.0866, 0.0957, 0.1067, 0.1201, 0.1340, 0.1500, 0.1693, 0.1940, 0.2226, 0.2558, 0.2948, 0.3460, 0.4134, 0.5063, 0.6334, 0.8024, 1.0503, 1.4513, 2.0869, 3.0138, 2.5618, 1.7529, 1.2303, 0.9000, 0.6727, // Scale factors for energy = 26.0 0.0281, 0.0299, 0.0318, 0.0348, 0.0372, 0.0397, 0.0418, 0.0443, 0.0485, 0.0523, 0.0557, 0.0608, 0.0655, 0.0713, 0.0785, 0.0872, 0.0973, 0.1060, 0.1166, 0.1312, 0.1475, 0.1657, 0.1872, 0.2143, 0.2470, 0.2901, 0.3434, 0.4112, 0.5032, 0.6244, 0.8071, 1.0653, 1.4558, 2.1088, 3.0433, 2.5876, 1.7518, 1.2377, 0.8911, 0.6589, // Scale factors for energy = 28.0 0.0280, 0.0291, 0.0303, 0.0326, 0.0339, 0.0358, 0.0390, 0.0424, 0.0448, 0.0484, 0.0521, 0.0570, 0.0619, 0.0669, 0.0729, 0.0808, 0.0892, 0.0993, 0.1098, 0.1232, 0.1369, 0.1547, 0.1783, 0.2023, 0.2345, 0.2755, 0.3287, 0.3992, 0.4902, 0.6119, 0.7857, 1.0430, 1.4663, 2.1685, 3.1676, 2.6743, 1.7800, 1.2175, 0.8703, 0.6371, // Scale factors for energy = 30.0 0.0251, 0.0269, 0.0285, 0.0299, 0.0318, 0.0345, 0.0375, 0.0407, 0.0438, 0.0464, 0.0506, 0.0541, 0.0605, 0.0674, 0.0738, 0.0822, 0.0909, 0.1010, 0.1130, 0.1272, 0.1427, 0.1616, 0.1828, 0.2088, 0.2401, 0.2795, 0.3268, 0.3920, 0.4793, 0.6021, 0.7845, 1.0446, 1.4497, 2.1480, 3.2257, 2.6767, 1.7609, 1.2223, 0.8656, 0.6405, // Scale factors for energy = 32.0 0.0281, 0.0289, 0.0305, 0.0319, 0.0335, 0.0351, 0.0378, 0.0415, 0.0443, 0.0481, 0.0519, 0.0559, 0.0606, 0.0659, 0.0718, 0.0792, 0.0869, 0.0962, 0.1065, 0.1191, 0.1340, 0.1517, 0.1733, 0.2001, 0.2322, 0.2719, 0.3215, 0.3835, 0.4776, 0.6017, 0.7808, 1.0476, 1.4646, 2.1903, 3.2627, 2.7134, 1.7695, 1.2080, 0.8456, 0.6161, // Scale factors for energy = 34.0 0.0248, 0.0292, 0.0300, 0.0312, 0.0332, 0.0356, 0.0378, 0.0406, 0.0438, 0.0474, 0.0524, 0.0575, 0.0624, 0.0659, 0.0728, 0.0808, 0.0898, 0.0982, 0.1089, 0.1221, 0.1347, 0.1518, 0.1733, 0.1972, 0.2284, 0.2647, 0.3128, 0.3797, 0.4688, 0.5903, 0.7613, 1.0254, 1.4565, 2.2045, 3.3333, 2.7521, 1.7690, 1.1872, 0.8410, 0.6039, // Scale factors for energy = 36.0 0.0246, 0.0263, 0.0284, 0.0293, 0.0308, 0.0332, 0.0354, 0.0387, 0.0412, 0.0447, 0.0489, 0.0533, 0.0572, 0.0622, 0.0678, 0.0732, 0.0812, 0.0901, 0.1002, 0.1120, 0.1260, 0.1442, 0.1662, 0.1921, 0.2226, 0.2612, 0.3108, 0.3750, 0.4638, 0.5891, 0.7754, 1.0470, 1.4707, 2.2224, 3.3769, 2.7700, 1.7803, 1.2030, 0.8279, 0.5968, // Scale factors for energy = 38.0 0.0271, 0.0290, 0.0304, 0.0319, 0.0337, 0.0358, 0.0389, 0.0415, 0.0443, 0.0480, 0.0516, 0.0556, 0.0602, 0.0658, 0.0723, 0.0778, 0.0858, 0.0942, 0.1044, 0.1171, 0.1331, 0.1491, 0.1697, 0.1967, 0.2271, 0.2643, 0.3115, 0.3730, 0.4580, 0.5827, 0.7526, 1.0165, 1.4505, 2.2263, 3.4076, 2.7878, 1.7504, 1.1709, 0.8240, 0.6029, // Scale factors for energy = 40.0 0.0249, 0.0257, 0.0276, 0.0299, 0.0320, 0.0342, 0.0371, 0.0400, 0.0427, 0.0453, 0.0483, 0.0526, 0.0573, 0.0618, 0.0669, 0.0727, 0.0809, 0.0889, 0.1001, 0.1112, 0.1259, 0.1424, 0.1644, 0.1903, 0.2204, 0.2574, 0.3062, 0.3693, 0.4551, 0.5757, 0.7496, 1.0106, 1.4568, 2.2537, 3.4928, 2.8297, 1.7582, 1.1627, 0.8092, 0.5892, ], // Probability that a Rayleigh scattered photon will be late. rayleigh_late_prob: [ // Probability for u.p' = -0.975 0.6140, 0.6030, 0.6314, 0.6507, 0.6599, 0.6591, 0.6748, 0.6473, 0.6350, 0.6667, 0.6840, 0.6752, 0.6742, 0.6771, 0.6678, 0.6707, 0.6672, 0.6716, 0.6811, 0.6914, 0.6609, 0.6107, 0.6449, 0.6350, 0.6206, 0.5799, 0.5649, 0.5759, 0.5474, 0.5779, 0.5612, 0.5178, 0.5420, 0.5656, 0.5943, 0.5694, 0.5888, 0.5699, 0.6124, 0.6229, 0.5895, 0.5919, 0.6206, 0.6258, 0.6233, 0.6218, 0.5900, 0.6214, // Probability for u.p' = -0.925 0.6094, 0.6250, 0.6368, 0.6173, 0.6444, 0.5996, 0.6569, 0.6628, 0.6481, 0.6528, 0.6431, 0.6651, 0.6711, 0.6651, 0.6732, 0.6720, 0.6610, 0.6995, 0.6356, 0.6702, 0.6601, 0.6419, 0.6197, 0.5927, 0.5614, 0.5605, 0.5474, 0.5532, 0.5533, 0.5280, 0.5367, 0.5721, 0.5704, 0.5723, 0.5540, 0.6131, 0.5727, 0.5917, 0.5647, 0.5756, 0.5733, 0.5766, 0.5949, 0.5661, 0.6119, 0.6128, 0.6148, 0.6495, // Probability for u.p' = -0.875 0.6034, 0.5970, 0.6266, 0.6533, 0.6380, 0.6414, 0.6617, 0.6775, 0.6494, 0.6900, 0.6406, 0.6481, 0.6643, 0.6764, 0.6531, 0.6360, 0.6491, 0.6646, 0.6453, 0.6747, 0.6580, 0.6335, 0.6117, 0.5820, 0.5904, 0.5345, 0.5211, 0.5129, 0.4906, 0.5443, 0.5486, 0.5195, 0.5213, 0.5424, 0.5305, 0.5616, 0.5684, 0.5417, 0.5770, 0.5990, 0.5737, 0.5732, 0.5800, 0.5543, 0.6088, 0.6070, 0.5737, 0.5491, // Probability for u.p' = -0.825 0.6093, 0.6091, 0.6311, 0.6158, 0.6203, 0.6165, 0.6466, 0.6101, 0.6570, 0.6176, 0.6211, 0.6757, 0.6517, 0.6618, 0.6604, 0.6497, 0.6304, 0.6706, 0.6561, 0.6600, 0.6122, 0.6111, 0.5885, 0.5789, 0.5185, 0.5146, 0.5115, 0.5228, 0.5517, 0.5595, 0.5222, 0.5226, 0.5293, 0.5416, 0.5391, 0.5383, 0.5496, 0.5383, 0.5481, 0.5469, 0.5598, 0.5754, 0.5599, 0.5802, 0.5868, 0.5632, 0.6140, 0.6561, // Probability for u.p' = -0.775 0.6055, 0.5961, 0.6151, 0.6144, 0.6304, 0.6088, 0.6226, 0.6408, 0.6485, 0.6209, 0.6232, 0.6263, 0.6329, 0.6325, 0.6402, 0.6329, 0.6633, 0.6508, 0.6214, 0.6445, 0.6667, 0.5917, 0.5616, 0.5368, 0.5419, 0.5042, 0.5318, 0.4433, 0.4939, 0.4878, 0.4551, 0.4895, 0.5357, 0.5352, 0.4946, 0.5151, 0.5338, 0.5418, 0.5660, 0.5670, 0.5400, 0.5466, 0.5349, 0.5881, 0.5627, 0.5810, 0.5954, 0.6126, // Probability for u.p' = -0.725 0.6291, 0.6360, 0.6149, 0.6026, 0.6366, 0.6227, 0.6140, 0.6233, 0.6420, 0.6281, 0.6423, 0.6304, 0.6404, 0.6671, 0.6387, 0.6321, 0.6150, 0.6224, 0.6156, 0.6349, 0.5571, 0.6090, 0.5160, 0.5197, 0.4916, 0.5009, 0.4418, 0.4941, 0.4683, 0.4815, 0.4946, 0.5219, 0.5230, 0.4951, 0.5146, 0.5587, 0.5388, 0.5099, 0.5142, 0.5589, 0.5513, 0.5673, 0.5610, 0.5214, 0.5447, 0.5576, 0.5725, 0.5363, // Probability for u.p' = -0.675 0.5849, 0.5788, 0.5989, 0.6536, 0.5997, 0.6460, 0.6267, 0.6616, 0.6101, 0.6650, 0.6401, 0.6253, 0.5827, 0.6442, 0.6132, 0.6342, 0.6151, 0.6070, 0.6177, 0.6222, 0.6491, 0.5323, 0.5219, 0.4961, 0.4451, 0.4765, 0.4329, 0.4467, 0.4370, 0.4961, 0.4731, 0.4686, 0.4578, 0.4698, 0.4909, 0.4950, 0.5056, 0.5124, 0.5312, 0.5427, 0.5475, 0.5492, 0.5476, 0.5320, 0.5823, 0.6017, 0.6033, 0.5677, // Probability for u.p' = -0.625 0.5776, 0.6051, 0.5883, 0.5911, 0.6302, 0.6261, 0.6208, 0.6150, 0.5821, 0.6409, 0.5949, 0.6271, 0.6191, 0.5877, 0.6218, 0.6286, 0.6085, 0.6254, 0.6243, 0.6050, 0.5667, 0.5326, 0.4882, 0.4429, 0.4332, 0.4088, 0.3918, 0.4135, 0.4234, 0.4344, 0.4446, 0.4784, 0.4736, 0.4837, 0.4921, 0.4844, 0.5225, 0.5187, 0.5314, 0.5215, 0.5421, 0.5517, 0.5717, 0.5980, 0.5615, 0.5864, 0.5669, 0.6066, // Probability for u.p' = -0.575 0.6267, 0.6003, 0.5794, 0.5914, 0.6150, 0.6088, 0.6300, 0.5977, 0.6239, 0.6168, 0.6378, 0.5788, 0.5989, 0.5938, 0.6197, 0.6282, 0.5946, 0.5966, 0.6028, 0.6008, 0.6107, 0.5407, 0.5084, 0.4518, 0.4328, 0.4172, 0.3784, 0.4434, 0.4494, 0.4385, 0.4601, 0.4859, 0.4955, 0.4761, 0.4988, 0.5060, 0.5279, 0.5340, 0.5511, 0.5904, 0.5316, 0.5358, 0.5646, 0.5417, 0.5208, 0.5534, 0.5422, 0.5556, // Probability for u.p' = -0.525 0.5625, 0.5897, 0.6018, 0.6003, 0.5992, 0.6291, 0.5821, 0.6228, 0.6190, 0.6070, 0.6145, 0.5807, 0.6201, 0.5953, 0.5756, 0.5968, 0.6127, 0.5552, 0.6120, 0.5782, 0.5960, 0.4920, 0.4143, 0.3982, 0.3866, 0.3341, 0.4139, 0.4099, 0.4462, 0.4474, 0.4521, 0.5044, 0.4929, 0.5411, 0.5246, 0.5441, 0.5297, 0.5518, 0.5050, 0.5120, 0.5318, 0.5254, 0.4849, 0.5388, 0.5125, 0.5120, 0.5357, 0.4747, // Probability for u.p' = -0.475 0.5951, 0.6177, 0.5798, 0.6476, 0.5908, 0.5968, 0.5788, 0.5869, 0.5843, 0.5413, 0.5714, 0.6060, 0.5705, 0.5966, 0.6359, 0.5507, 0.6290, 0.6076, 0.5969, 0.5668, 0.5133, 0.4887, 0.3948, 0.3681, 0.3271, 0.3455, 0.3948, 0.4213, 0.4406, 0.4666, 0.5117, 0.5233, 0.5037, 0.5093, 0.5031, 0.5156, 0.5080, 0.4971, 0.4762, 0.4928, 0.4942, 0.4975, 0.4827, 0.4713, 0.4850, 0.4808, 0.4984, 0.4387, // Probability for u.p' = -0.425 0.5310, 0.5548, 0.5714, 0.5624, 0.5828, 0.6172, 0.5690, 0.5732, 0.5777, 0.6118, 0.5997, 0.5784, 0.6058, 0.5546, 0.5549, 0.5785, 0.5441, 0.5519, 0.5545, 0.5651, 0.5359, 0.4655, 0.3737, 0.2926, 0.3226, 0.4131, 0.4368, 0.4571, 0.4681, 0.5084, 0.5005, 0.4824, 0.4658, 0.5009, 0.4798, 0.4941, 0.4667, 0.4826, 0.4718, 0.4736, 0.4599, 0.4618, 0.4476, 0.4646, 0.4149, 0.4522, 0.4251, 0.4271, // Probability for u.p' = -0.375 0.5648, 0.6181, 0.5871, 0.5635, 0.5596, 0.6491, 0.5805, 0.6211, 0.5756, 0.5821, 0.5830, 0.5689, 0.5664, 0.5996, 0.5678, 0.5637, 0.5427, 0.5590, 0.5791, 0.5497, 0.4923, 0.3852, 0.3104, 0.3925, 0.3494, 0.4170, 0.4618, 0.4932, 0.4681, 0.5053, 0.4702, 0.4645, 0.4726, 0.4473, 0.4576, 0.4530, 0.4333, 0.4604, 0.4450, 0.4224, 0.4347, 0.4410, 0.3899, 0.4125, 0.4041, 0.4284, 0.4115, 0.3817, // Probability for u.p' = -0.325 0.5714, 0.5557, 0.5889, 0.5864, 0.5819, 0.5761, 0.5603, 0.5269, 0.5588, 0.5841, 0.5236, 0.5318, 0.5433, 0.5819, 0.5490, 0.5221, 0.5694, 0.5136, 0.5317, 0.4868, 0.4734, 0.3649, 0.3767, 0.3547, 0.4416, 0.4420, 0.4386, 0.4644, 0.4427, 0.4330, 0.4571, 0.4373, 0.4439, 0.4418, 0.4139, 0.4573, 0.4210, 0.4103, 0.3695, 0.4150, 0.4130, 0.3718, 0.4008, 0.3959, 0.3380, 0.3612, 0.3394, 0.3254, // Probability for u.p' = -0.275 0.5981, 0.6022, 0.5525, 0.5603, 0.5490, 0.5628, 0.5963, 0.5550, 0.5981, 0.5424, 0.5485, 0.5502, 0.5755, 0.5772, 0.5359, 0.5327, 0.5098, 0.4595, 0.4866, 0.5052, 0.3631, 0.3625, 0.3447, 0.4256, 0.4354, 0.4158, 0.4299, 0.4519, 0.4134, 0.4218, 0.4054, 0.3963, 0.4201, 0.4057, 0.4151, 0.3873, 0.4021, 0.3905, 0.4047, 0.3547, 0.3556, 0.3590, 0.3384, 0.3136, 0.3110, 0.3275, 0.3039, 0.3481, // Probability for u.p' = -0.225 0.5573, 0.5918, 0.5955, 0.5792, 0.5622, 0.5550, 0.5659, 0.5886, 0.5478, 0.5316, 0.5822, 0.5326, 0.5720, 0.5595, 0.5288, 0.4988, 0.4858, 0.5414, 0.5255, 0.4102, 0.4028, 0.3710, 0.3946, 0.3779, 0.4076, 0.3980, 0.4140, 0.4301, 0.4179, 0.4135, 0.3890, 0.4212, 0.3664, 0.3515, 0.3795, 0.3784, 0.3366, 0.3491, 0.3439, 0.3353, 0.3470, 0.3368, 0.3008, 0.2930, 0.3180, 0.3110, 0.3478, 0.2435, // Probability for u.p' = -0.175 0.6009, 0.5736, 0.5579, 0.5846, 0.5417, 0.5408, 0.5471, 0.5078, 0.5383, 0.5525, 0.5038, 0.5213, 0.5082, 0.5269, 0.5310, 0.4815, 0.5040, 0.5300, 0.4533, 0.5224, 0.3837, 0.3826, 0.4157, 0.3818, 0.3734, 0.3754, 0.3685, 0.3903, 0.3840, 0.3972, 0.3750, 0.3500, 0.3846, 0.3760, 0.3452, 0.3386, 0.3342, 0.3169, 0.3576, 0.2928, 0.2804, 0.2848, 0.2740, 0.2924, 0.3020, 0.2787, 0.2442, 0.2400, // Probability for u.p' = -0.125 0.5786, 0.5904, 0.5663, 0.5311, 0.5906, 0.5558, 0.5402, 0.5526, 0.5857, 0.5182, 0.4947, 0.5473, 0.4913, 0.4758, 0.4772, 0.4569, 0.4945, 0.5273, 0.4815, 0.4688, 0.4103, 0.3651, 0.3728, 0.3608, 0.3833, 0.3618, 0.3353, 0.3440, 0.3384, 0.3715, 0.3680, 0.3419, 0.3556, 0.3214, 0.3305, 0.3319, 0.3232, 0.3038, 0.2928, 0.2904, 0.2962, 0.2595, 0.2577, 0.2596, 0.2539, 0.3067, 0.2719, 0.2366, // Probability for u.p' = -0.075 0.5308, 0.5743, 0.5527, 0.5576, 0.5806, 0.5594, 0.5048, 0.5402, 0.5441, 0.5140, 0.5311, 0.5429, 0.5398, 0.4863, 0.5189, 0.4620, 0.5204, 0.4904, 0.4358, 0.4229, 0.3788, 0.3547, 0.3481, 0.3580, 0.3700, 0.3519, 0.3453, 0.3451, 0.3219, 0.3551, 0.3258, 0.3232, 0.3035, 0.3073, 0.3140, 0.3055, 0.3180, 0.2971, 0.2678, 0.2561, 0.2562, 0.2389, 0.2480, 0.2577, 0.2640, 0.2901, 0.2521, 0.2500, // Probability for u.p' = -0.025 0.5774, 0.6010, 0.5434, 0.5728, 0.5638, 0.5670, 0.5073, 0.5191, 0.5525, 0.5107, 0.5500, 0.5197, 0.5052, 0.4781, 0.4765, 0.5267, 0.4379, 0.4015, 0.4909, 0.4213, 0.3298, 0.3451, 0.3619, 0.3428, 0.3366, 0.3254, 0.3142, 0.3536, 0.3362, 0.2969, 0.3319, 0.2820, 0.3261, 0.2589, 0.3002, 0.3064, 0.3108, 0.2776, 0.3006, 0.2588, 0.2542, 0.2545, 0.2541, 0.2668, 0.2207, 0.2988, 0.2155, 0.2812, // Probability for u.p' = 0.025 0.5858, 0.5453, 0.5548, 0.5488, 0.5720, 0.5430, 0.4864, 0.5618, 0.5061, 0.5120, 0.5545, 0.4987, 0.4086, 0.4942, 0.4773, 0.4568, 0.4432, 0.5019, 0.3992, 0.4054, 0.3228, 0.3064, 0.3365, 0.3178, 0.3128, 0.3351, 0.3355, 0.3117, 0.3447, 0.3246, 0.3111, 0.3015, 0.2741, 0.2960, 0.3038, 0.2885, 0.2804, 0.2392, 0.2735, 0.2759, 0.3201, 0.2566, 0.2197, 0.2640, 0.2500, 0.2578, 0.2937, 0.2429, // Probability for u.p' = 0.075 0.5550, 0.5438, 0.5566, 0.5558, 0.5396, 0.5170, 0.5327, 0.4955, 0.5179, 0.4956, 0.5302, 0.4888, 0.4423, 0.5170, 0.4220, 0.4189, 0.4249, 0.3869, 0.3883, 0.3939, 0.3529, 0.3180, 0.2963, 0.3372, 0.2920, 0.3093, 0.3019, 0.3138, 0.2945, 0.2966, 0.3012, 0.2985, 0.2766, 0.2965, 0.2620, 0.2541, 0.2520, 0.2647, 0.2500, 0.2213, 0.2128, 0.2493, 0.1667, 0.2828, 0.2583, 0.3043, 0.3010, 0.2857, // Probability for u.p' = 0.125 0.5477, 0.5655, 0.5470, 0.5330, 0.5453, 0.5639, 0.5260, 0.5085, 0.5169, 0.5606, 0.4849, 0.4973, 0.4379, 0.4713, 0.4615, 0.4000, 0.4194, 0.4383, 0.4042, 0.3797, 0.3074, 0.3140, 0.2969, 0.2784, 0.2997, 0.2991, 0.2947, 0.2748, 0.2796, 0.2890, 0.2667, 0.2549, 0.2573, 0.2762, 0.2519, 0.2699, 0.2985, 0.2482, 0.2368, 0.2622, 0.2582, 0.2676, 0.2546, 0.2510, 0.3174, 0.2849, 0.2554, 0.2500, // Probability for u.p' = 0.175 0.5968, 0.5664, 0.5337, 0.5597, 0.5209, 0.5297, 0.4486, 0.5394, 0.5027, 0.4890, 0.4721, 0.4467, 0.4585, 0.4420, 0.3950, 0.3770, 0.4383, 0.4044, 0.3498, 0.3800, 0.4032, 0.3092, 0.2566, 0.3062, 0.2933, 0.2810, 0.2859, 0.3033, 0.2685, 0.2629, 0.2266, 0.2761, 0.2657, 0.2339, 0.2739, 0.2889, 0.2461, 0.3098, 0.3266, 0.2623, 0.2449, 0.2560, 0.2579, 0.2512, 0.3240, 0.2586, 0.2162, 0.2500, // Probability for u.p' = 0.225 0.5506, 0.5580, 0.5255, 0.5179, 0.5197, 0.4753, 0.5397, 0.5068, 0.5237, 0.4605, 0.4667, 0.4626, 0.4500, 0.4458, 0.3881, 0.4101, 0.3966, 0.4038, 0.3897, 0.3846, 0.2569, 0.2937, 0.2971, 0.2680, 0.2937, 0.2708, 0.2914, 0.2904, 0.2570, 0.3013, 0.2854, 0.2799, 0.2811, 0.2471, 0.2755, 0.2035, 0.2429, 0.2349, 0.2523, 0.2290, 0.2520, 0.2640, 0.2745, 0.2722, 0.2500, 0.2429, 0.3594, 0.4286, // Probability for u.p' = 0.275 0.6117, 0.5423, 0.5360, 0.4876, 0.4932, 0.5523, 0.4851, 0.4903, 0.4637, 0.4795, 0.4558, 0.4172, 0.3498, 0.3973, 0.3555, 0.4043, 0.3909, 0.3493, 0.3538, 0.3385, 0.3190, 0.2857, 0.2677, 0.2729, 0.2612, 0.2677, 0.2387, 0.2652, 0.2378, 0.2198, 0.2808, 0.2787, 0.2361, 0.2370, 0.2397, 0.2605, 0.2906, 0.2557, 0.2483, 0.2231, 0.2844, 0.3527, 0.2531, 0.2635, 0.2462, 0.2643, 0.2632, 0.2353, // Probability for u.p' = 0.325 0.5077, 0.5299, 0.5197, 0.4969, 0.5434, 0.5027, 0.5366, 0.4794, 0.4650, 0.4858, 0.4256, 0.4325, 0.3553, 0.4242, 0.4073, 0.3793, 0.3607, 0.3189, 0.3372, 0.3600, 0.2593, 0.2704, 0.2273, 0.2807, 0.2616, 0.2584, 0.2486, 0.3105, 0.2341, 0.2655, 0.2674, 0.2360, 0.2423, 0.2535, 0.2772, 0.2335, 0.2632, 0.2199, 0.2320, 0.2398, 0.1962, 0.3023, 0.2468, 0.3077, 0.3219, 0.3426, 0.3564, 0.2000, // Probability for u.p' = 0.375 0.5592, 0.5520, 0.5507, 0.5195, 0.4962, 0.4881, 0.5315, 0.4926, 0.4463, 0.4652, 0.4536, 0.4348, 0.3740, 0.3965, 0.3778, 0.3791, 0.3652, 0.3958, 0.3280, 0.3559, 0.2629, 0.2552, 0.2655, 0.2632, 0.2683, 0.2586, 0.2300, 0.2477, 0.2321, 0.2488, 0.2310, 0.2545, 0.2507, 0.2744, 0.2576, 0.2203, 0.2464, 0.2305, 0.2383, 0.2913, 0.2692, 0.2659, 0.2531, 0.2927, 0.2793, 0.2110, 0.3059, 0.4762, // Probability for u.p' = 0.425 0.6048, 0.5192, 0.4967, 0.5033, 0.5512, 0.5172, 0.4784, 0.4747, 0.4433, 0.4120, 0.4316, 0.4388, 0.4380, 0.3991, 0.3350, 0.3274, 0.3291, 0.2651, 0.4094, 0.3684, 0.2632, 0.2691, 0.2736, 0.2477, 0.2535, 0.2545, 0.2397, 0.2327, 0.2478, 0.2569, 0.2480, 0.2355, 0.3313, 0.2462, 0.2297, 0.2558, 0.2625, 0.2857, 0.2961, 0.2941, 0.2971, 0.3296, 0.3026, 0.2946, 0.3304, 0.3258, 0.3649, 0.2632, // Probability for u.p' = 0.475 0.5654, 0.5261, 0.4918, 0.5261, 0.4499, 0.5268, 0.4604, 0.4098, 0.4520, 0.4649, 0.3864, 0.3755, 0.4069, 0.4027, 0.3867, 0.3480, 0.2892, 0.3077, 0.3046, 0.2727, 0.2849, 0.2400, 0.2172, 0.2015, 0.2348, 0.2604, 0.2398, 0.2139, 0.2428, 0.2368, 0.2536, 0.2568, 0.2197, 0.2677, 0.2724, 0.2773, 0.2227, 0.3000, 0.2944, 0.2541, 0.2807, 0.2667, 0.3121, 0.3274, 0.1923, 0.3140, 0.3846, 0.1667, // Probability for u.p' = 0.525 0.5858, 0.5339, 0.5085, 0.5378, 0.5078, 0.4847, 0.4642, 0.4515, 0.3937, 0.4318, 0.4291, 0.4025, 0.3843, 0.3915, 0.3524, 0.3351, 0.3822, 0.3529, 0.3537, 0.3010, 0.2768, 0.2398, 0.2308, 0.2315, 0.2315, 0.2447, 0.2433, 0.2268, 0.2672, 0.2931, 0.2274, 0.2361, 0.2582, 0.2707, 0.2681, 0.2301, 0.2892, 0.2864, 0.2471, 0.2722, 0.3550, 0.2519, 0.2114, 0.2979, 0.2889, 0.3511, 0.4394, 0.3750, // Probability for u.p' = 0.575 0.5388, 0.5126, 0.5169, 0.5147, 0.4741, 0.4230, 0.5000, 0.4422, 0.3963, 0.4594, 0.4071, 0.4156, 0.3628, 0.3191, 0.3249, 0.3371, 0.3036, 0.2765, 0.2517, 0.3942, 0.2367, 0.2234, 0.2177, 0.2188, 0.2215, 0.2085, 0.1843, 0.2649, 0.2385, 0.2471, 0.2500, 0.1735, 0.2287, 0.2618, 0.2235, 0.2691, 0.2500, 0.2034, 0.3198, 0.2744, 0.2857, 0.2463, 0.3071, 0.2680, 0.4198, 0.3538, 0.3205, 0.2857, // Probability for u.p' = 0.625 0.5530, 0.5161, 0.5174, 0.4610, 0.4744, 0.5056, 0.4646, 0.4795, 0.4271, 0.4170, 0.4601, 0.4105, 0.3377, 0.4147, 0.3522, 0.3013, 0.3099, 0.3425, 0.2552, 0.4433, 0.2840, 0.2114, 0.2162, 0.2276, 0.2199, 0.2225, 0.2386, 0.2138, 0.2113, 0.2061, 0.2500, 0.2295, 0.2251, 0.2376, 0.2667, 0.2642, 0.2247, 0.2342, 0.2625, 0.1837, 0.3212, 0.2913, 0.2477, 0.2979, 0.2963, 0.2250, 0.4638, 0.3750, // Probability for u.p' = 0.675 0.5411, 0.5231, 0.5025, 0.4686, 0.5000, 0.4956, 0.4506, 0.3954, 0.4610, 0.3966, 0.4153, 0.4213, 0.3713, 0.3706, 0.3036, 0.3023, 0.2672, 0.3000, 0.2365, 0.2039, 0.2281, 0.1971, 0.2138, 0.2321, 0.2037, 0.2063, 0.2141, 0.2561, 0.2188, 0.2535, 0.2797, 0.2548, 0.2344, 0.2765, 0.3019, 0.2654, 0.2741, 0.2548, 0.2574, 0.2014, 0.2677, 0.2712, 0.3656, 0.2857, 0.2432, 0.3607, 0.3091, 0.5333, // Probability for u.p' = 0.725 0.5417, 0.5072, 0.4754, 0.5109, 0.4667, 0.4618, 0.4676, 0.4275, 0.4470, 0.4245, 0.4393, 0.3929, 0.3351, 0.2901, 0.3370, 0.2958, 0.2635, 0.2649, 0.2441, 0.3367, 0.1711, 0.2463, 0.2092, 0.1875, 0.2584, 0.1971, 0.2523, 0.2383, 0.2293, 0.1906, 0.2367, 0.2365, 0.2545, 0.2368, 0.2857, 0.1940, 0.2485, 0.2346, 0.2207, 0.2406, 0.3058, 0.2897, 0.3402, 0.3284, 0.2600, 0.3529, 0.3200, 0.2941, // Probability for u.p' = 0.775 0.5348, 0.5212, 0.4840, 0.4768, 0.4931, 0.4561, 0.4421, 0.4222, 0.4222, 0.4498, 0.3894, 0.3351, 0.3089, 0.3118, 0.3125, 0.3515, 0.2808, 0.3307, 0.2937, 0.2267, 0.2327, 0.2212, 0.2643, 0.2041, 0.2521, 0.2415, 0.2190, 0.2308, 0.2602, 0.2321, 0.2369, 0.2157, 0.2372, 0.2523, 0.2757, 0.2346, 0.3110, 0.2183, 0.2388, 0.2547, 0.3217, 0.3333, 0.3095, 0.3067, 0.3088, 0.3220, 0.3636, 0.3684, // Probability for u.p' = 0.825 0.5342, 0.5053, 0.4975, 0.5042, 0.4526, 0.4286, 0.4167, 0.3867, 0.4318, 0.4009, 0.4604, 0.3784, 0.3568, 0.2690, 0.2834, 0.3046, 0.2628, 0.2927, 0.2975, 0.3293, 0.2636, 0.2135, 0.2021, 0.2213, 0.1962, 0.2166, 0.2288, 0.2063, 0.2689, 0.2214, 0.2618, 0.2301, 0.2464, 0.2578, 0.2312, 0.2849, 0.2662, 0.2180, 0.3333, 0.2689, 0.3000, 0.2000, 0.2771, 0.3333, 0.2857, 0.2542, 0.3793, 0.2143, // Probability for u.p' = 0.875 0.5372, 0.5102, 0.4660, 0.5184, 0.4758, 0.4840, 0.4753, 0.4264, 0.3924, 0.4081, 0.3788, 0.3557, 0.3470, 0.2944, 0.3111, 0.2483, 0.2955, 0.2800, 0.3554, 0.3511, 0.1417, 0.2104, 0.2005, 0.2479, 0.2478, 0.1930, 0.2892, 0.2418, 0.2510, 0.1734, 0.2561, 0.2683, 0.2393, 0.2944, 0.2738, 0.2612, 0.3254, 0.3258, 0.2647, 0.2773, 0.2941, 0.2632, 0.2785, 0.3614, 0.4231, 0.3906, 0.4681, 0.3889, // Probability for u.p' = 0.925 0.5362, 0.4868, 0.4735, 0.4864, 0.4367, 0.4345, 0.3985, 0.4730, 0.4202, 0.3416, 0.4136, 0.3179, 0.3118, 0.3041, 0.3636, 0.3235, 0.3529, 0.2538, 0.4017, 0.3333, 0.2426, 0.1899, 0.2099, 0.2473, 0.2391, 0.2186, 0.2009, 0.2455, 0.2389, 0.2906, 0.2420, 0.2249, 0.2749, 0.2541, 0.3290, 0.2759, 0.2097, 0.2817, 0.2645, 0.2661, 0.2586, 0.2870, 0.3038, 0.2692, 0.3667, 0.4500, 0.4634, 0.4118, // Probability for u.p' = 0.975 0.5400, 0.4869, 0.4354, 0.4818, 0.4747, 0.4748, 0.4924, 0.4513, 0.4417, 0.4298, 0.3384, 0.4030, 0.3279, 0.3061, 0.3728, 0.3193, 0.2868, 0.3306, 0.3391, 0.3333, 0.2913, 0.2327, 0.2074, 0.2235, 0.2143, 0.2165, 0.1974, 0.2262, 0.2165, 0.2456, 0.2455, 0.2010, 0.2667, 0.2407, 0.2704, 0.2911, 0.2683, 0.2655, 0.3070, 0.2059, 0.3500, 0.3000, 0.3059, 0.3611, 0.4314, 0.4082, 0.2979, 0.2941, ], pmt_angular_response: [1.0000, 0.9715, 0.9868, 0.9808, 0.9747, 0.9843, 0.9846, 0.9835, 0.9857, 0.9937, 0.9901, 0.9907, 0.9927, 0.9971, 0.9931, 0.9950, 0.9952, 0.9908, 0.9990, 0.9962, 0.9991, 0.9988, 1.0008, 0.9954, 0.9918, 0.9923, 0.9863, 0.9831, 0.9760, 0.9687, 0.9618, 0.9511, 0.9373, 0.9281, 0.9156, 0.8976, 0.8825, 0.8670, 0.8528, 0.8326, 0.8122, 0.7917, 0.7636, 0.7394, 0.7076, 0.6867, 0.6654, 0.6487, 0.6305, 0.6133, 0.5977, 0.5775, 0.5522, 0.5217, 0.4898, 0.4514, 0.4103, 0.3668, 0.3276, 0.2917, 0.2607, 0.2358, 0.2138, 0.1973, 0.1813, 0.1696, 0.1570, 0.1494, 0.1337, 0.1303, 0.1235, 0.1185, 0.1186, 0.1081, 0.1130, 0.1037, 0.1084, 0.1049, 0.0995, 0.0965, 0.1056, 0.0997, 0.0852, 0.0880, 0.0852, 0.0789, 0.0775, 0.0606, 0.0507, 0.0096, ], predicted_nphotons_energy: [0.0, 92.8137, 166.929, 248.532, 333.977, 420.632, 510.112, 600.404, 690.354, 781.193, 872.363, 963.012, 1055.38, 1146.28, 1237.71, 1329.83, 1419.78, 1511.71, 1602.19, 1938.3127, 2328.4520, 2681.6922, 3003.5937, 3339.6931, 3689.7505, 4030.4352, 4391.5885, 4748.6173, 5055.7487, 5425.5916, 5778.7064, 6099.1203, 6452.9159, 6716.3930, 7428.3613, 8049.6016, 8687.7159, 9349.0971, 9937.8344, 10618.8723, 11289.2236, 11858.9647, 12491.6110, 13110.5738, ], } { type: "FIT_ENERGY_RSP", version: 1, index: "internalwater_snoplus", run_range: [0, 0], pass: 0, comment: "", timestamp: "", max_iterations: 10, tolerance: 0.2, // Maximum percentage difference between effective and predicted PMT hits r_max: 8000.0, // Maximum radius of valid fits energies: [0.26, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0, ], predicted_energies: [0.26, 0.75, 1, 1.25, 1.5, 1.75, 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0, ], costhetaValues: [-0.9750, -0.9250, -0.8750, -0.8250, -0.7750, -0.7250, -0.6750, -0.6250, -0.5750, -0.5250, -0.4750, -0.4250, -0.3750, -0.3250, -0.2750, -0.2250, -0.1750, -0.1250, -0.0750, -0.0250, 0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, ], event_dir_dot_initial_light_vec: [-0.9750, -0.9250, -0.8750, -0.8250, -0.7750, -0.7250, -0.6750, -0.6250, -0.5750, -0.5250, -0.4750, -0.4250, -0.3750, -0.3250, -0.2750, -0.2250, -0.1750, -0.1250, -0.0750, -0.0250, 0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, ], radii: [0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, 1.0250, 1.0750, 1.1250, 1.1750, 1.2250, 1.2750, 1.3250, 1.3750, 1.4250, 1.4750, 1.5250, 1.5750, 1.6250, 1.6750, 1.7250, 1.7750, 1.8250, 1.8750, 1.9250, 1.9750, 2.0250, 2.0750, 2.1250, 2.1750, 2.2250, 2.2750, 2.3250, 2.3750, ], angularValues: [0.50, 1.50, 2.50, 3.50, 4.50, 5.50, 6.50, 7.50, 8.50, 9.50, 10.50, 11.50, 12.50, 13.50, 14.50, 15.50, 16.50, 17.50, 18.50, 19.50, 20.50, 21.50, 22.50, 23.50, 24.50, 25.50, 26.50, 27.50, 28.50, 29.50, 30.50, 31.50, 32.50, 33.50, 34.50, 35.50, 36.50, 37.50, 38.50, 39.50, 40.50, 41.50, 42.50, 43.50, 44.50, 45.50, 46.50, 47.50, 48.50, 49.50, 50.50, 51.50, 52.50, 53.50, 54.50, 55.50, 56.50, 57.50, 58.50, 59.50, 60.50, 61.50, 62.50, 63.50, 64.50, 65.50, 66.50, 67.50, 68.50, 69.50, 70.50, 71.50, 72.50, 73.50, 74.50, 75.50, 76.50, 77.50, 78.50, 79.50, 80.50, 81.50, 82.50, 83.50, 84.50, 85.50, 86.50, 87.50, 88.50, 89.50, ], nphotons_energy: [0.0, 592.7141, 1008.8397, 1428.7709, 1862.2001, 2275.7363, 2695.6525, 3120.0659, 3533.0406, 3940.5590, 4371.5063, 4771.1593, 5172.3301, 5594.7215, 5988.6842, 6434.2886, 6826.5935, 7221.7332, 7612.9583, 8008.0952, 8812.5949, 9616.7653, 10410.9762, 11198.0040, 11993.2399, 12831.4884, 13581.1645, 14354.3227, 15185.0169, 15892.4476, ], // Scale factor associated with Cerenkov angular distribution. cerenkov_angular_dist: [ // Scale factors for energy = 0.26 0.0422, 0.0466, 0.0552, 0.0598, 0.0620, 0.0667, 0.0718, 0.0814, 0.0860, 0.0917, 0.1072, 0.1120, 0.1275, 0.1354, 0.1498, 0.1655, 0.1776, 0.1990, 0.2147, 0.2351, 0.2618, 0.2858, 0.3217, 0.3488, 0.3960, 0.4371, 0.4879, 0.5537, 0.6231, 0.7223, 0.8309, 0.9701, 1.1585, 1.4059, 1.7776, 1.8573, 1.6003, 1.3820, 1.2179, 1.0742, // Scale factors for energy = 2.0 0.0422, 0.0466, 0.0552, 0.0598, 0.0620, 0.0667, 0.0718, 0.0814, 0.0860, 0.0917, 0.1072, 0.1120, 0.1275, 0.1354, 0.1498, 0.1655, 0.1776, 0.1990, 0.2147, 0.2351, 0.2618, 0.2858, 0.3217, 0.3488, 0.3960, 0.4371, 0.4879, 0.5537, 0.6231, 0.7223, 0.8309, 0.9701, 1.1585, 1.4059, 1.7776, 1.8573, 1.6003, 1.3820, 1.2179, 1.0742, // Scale factors for energy = 3.0 0.0374, 0.0455, 0.0479, 0.0556, 0.0579, 0.0639, 0.0673, 0.0742, 0.0809, 0.0880, 0.0954, 0.1050, 0.1129, 0.1228, 0.1375, 0.1479, 0.1643, 0.1853, 0.2056, 0.2269, 0.2557, 0.2792, 0.3145, 0.3474, 0.3942, 0.4357, 0.4921, 0.5589, 0.6383, 0.7383, 0.8689, 1.0087, 1.2147, 1.4846, 1.8375, 1.8360, 1.5679, 1.3656, 1.2003, 1.0390, // Scale factors for energy = 4.0 0.0465, 0.0480, 0.0519, 0.0561, 0.0582, 0.0652, 0.0730, 0.0768, 0.0826, 0.0880, 0.0980, 0.1049, 0.1167, 0.1250, 0.1330, 0.1508, 0.1666, 0.1845, 0.1998, 0.2183, 0.2421, 0.2726, 0.3058, 0.3452, 0.3874, 0.4421, 0.5046, 0.5714, 0.6602, 0.7624, 0.8801, 1.0251, 1.2201, 1.4940, 1.8670, 1.8084, 1.5311, 1.3298, 1.1803, 1.0263, // Scale factors for energy = 5.0 0.0488, 0.0484, 0.0518, 0.0563, 0.0598, 0.0632, 0.0680, 0.0758, 0.0809, 0.0873, 0.0959, 0.1037, 0.1095, 0.1203, 0.1347, 0.1485, 0.1620, 0.1781, 0.1970, 0.2167, 0.2431, 0.2620, 0.2957, 0.3307, 0.3761, 0.4263, 0.4852, 0.5473, 0.6324, 0.7377, 0.8664, 1.0340, 1.2569, 1.5671, 1.9715, 1.8773, 1.5671, 1.3230, 1.1272, 0.9660, // Scale factors for energy = 6.0 0.0399, 0.0434, 0.0452, 0.0478, 0.0528, 0.0557, 0.0608, 0.0666, 0.0740, 0.0806, 0.0893, 0.0978, 0.1050, 0.1178, 0.1252, 0.1363, 0.1513, 0.1639, 0.1812, 0.2026, 0.2232, 0.2486, 0.2816, 0.3192, 0.3595, 0.4083, 0.4678, 0.5390, 0.6239, 0.7192, 0.8653, 1.0512, 1.3045, 1.6448, 2.0815, 1.9627, 1.6064, 1.3318, 1.0926, 0.9315, // Scale factors for energy = 7.0 0.0481, 0.0490, 0.0515, 0.0520, 0.0558, 0.0588, 0.0625, 0.0658, 0.0733, 0.0786, 0.0840, 0.0889, 0.0962, 0.1073, 0.1193, 0.1295, 0.1440, 0.1557, 0.1758, 0.1964, 0.2192, 0.2418, 0.2750, 0.3101, 0.3479, 0.3963, 0.4541, 0.5242, 0.6162, 0.7201, 0.8727, 1.0626, 1.3107, 1.6679, 2.1385, 2.0033, 1.6157, 1.3318, 1.0869, 0.9124, // Scale factors for energy = 8.0 0.0403, 0.0424, 0.0472, 0.0495, 0.0525, 0.0569, 0.0610, 0.0658, 0.0706, 0.0772, 0.0839, 0.0899, 0.0974, 0.1088, 0.1163, 0.1268, 0.1405, 0.1569, 0.1720, 0.1903, 0.2078, 0.2307, 0.2621, 0.3019, 0.3397, 0.3945, 0.4564, 0.5311, 0.6208, 0.7291, 0.8740, 1.0725, 1.3337, 1.6863, 2.1507, 2.0091, 1.6272, 1.3402, 1.0928, 0.8933, // Scale factors for energy = 9.0 0.0467, 0.0502, 0.0514, 0.0506, 0.0535, 0.0580, 0.0606, 0.0656, 0.0695, 0.0761, 0.0821, 0.0870, 0.0953, 0.1022, 0.1117, 0.1198, 0.1317, 0.1429, 0.1596, 0.1765, 0.1967, 0.2223, 0.2502, 0.2821, 0.3223, 0.3692, 0.4312, 0.5073, 0.6000, 0.7191, 0.8665, 1.0744, 1.3466, 1.7531, 2.2801, 2.1010, 1.6464, 1.3273, 1.0624, 0.8507, // Scale factors for energy = 10.0 0.0294, 0.0315, 0.0349, 0.0386, 0.0419, 0.0468, 0.0508, 0.0547, 0.0598, 0.0655, 0.0707, 0.0782, 0.0873, 0.0953, 0.1059, 0.1149, 0.1284, 0.1440, 0.1581, 0.1775, 0.1965, 0.2207, 0.2468, 0.2810, 0.3203, 0.3687, 0.4274, 0.5040, 0.5974, 0.7228, 0.8792, 1.0856, 1.3704, 1.7863, 2.3263, 2.1324, 1.6734, 1.3321, 1.0701, 0.8445, // Scale factors for energy = 11.0 0.0298, 0.0324, 0.0338, 0.0374, 0.0405, 0.0434, 0.0479, 0.0512, 0.0565, 0.0614, 0.0682, 0.0739, 0.0813, 0.0883, 0.0988, 0.1083, 0.1206, 0.1335, 0.1493, 0.1654, 0.1870, 0.2100, 0.2396, 0.2743, 0.3151, 0.3623, 0.4167, 0.4902, 0.5853, 0.7055, 0.8603, 1.0684, 1.3752, 1.8453, 2.4607, 2.2188, 1.6826, 1.3099, 1.0409, 0.8297, // Scale factors for energy = 12.0 0.0320, 0.0345, 0.0365, 0.0392, 0.0419, 0.0455, 0.0471, 0.0511, 0.0550, 0.0600, 0.0644, 0.0721, 0.0771, 0.0852, 0.0928, 0.1036, 0.1162, 0.1295, 0.1453, 0.1625, 0.1822, 0.2072, 0.2356, 0.2693, 0.3070, 0.3556, 0.4125, 0.4814, 0.5743, 0.7059, 0.8679, 1.0940, 1.3990, 1.8579, 2.4571, 2.2219, 1.7093, 1.3325, 1.0254, 0.8124, // Scale factors for energy = 13.0 0.0308, 0.0319, 0.0351, 0.0387, 0.0427, 0.0448, 0.0497, 0.0544, 0.0584, 0.0644, 0.0700, 0.0759, 0.0827, 0.0903, 0.0987, 0.1090, 0.1212, 0.1341, 0.1490, 0.1659, 0.1865, 0.2088, 0.2364, 0.2696, 0.3052, 0.3514, 0.4099, 0.4849, 0.5750, 0.6918, 0.8513, 1.0704, 1.3873, 1.8649, 2.5198, 2.2443, 1.6896, 1.2934, 1.0114, 0.8008, // Scale factors for energy = 14.0 0.0278, 0.0309, 0.0339, 0.0368, 0.0396, 0.0435, 0.0469, 0.0500, 0.0534, 0.0576, 0.0623, 0.0676, 0.0749, 0.0826, 0.0902, 0.1004, 0.1119, 0.1233, 0.1407, 0.1563, 0.1774, 0.2006, 0.2270, 0.2566, 0.2947, 0.3395, 0.3971, 0.4706, 0.5657, 0.6884, 0.8435, 1.0790, 1.4082, 1.9164, 2.5950, 2.3141, 1.7166, 1.2951, 1.0037, 0.7803, // Scale factors for energy = 15.0 0.0320, 0.0340, 0.0366, 0.0391, 0.0420, 0.0439, 0.0472, 0.0507, 0.0548, 0.0595, 0.0638, 0.0691, 0.0749, 0.0817, 0.0893, 0.0983, 0.1088, 0.1194, 0.1349, 0.1510, 0.1688, 0.1897, 0.2140, 0.2467, 0.2870, 0.3341, 0.3951, 0.4683, 0.5594, 0.6837, 0.8518, 1.0817, 1.4086, 1.9295, 2.6375, 2.3348, 1.7160, 1.3004, 0.9948, 0.7668, // Scale factors for energy = 16.0 0.0321, 0.0344, 0.0361, 0.0380, 0.0400, 0.0427, 0.0455, 0.0500, 0.0532, 0.0573, 0.0628, 0.0673, 0.0734, 0.0804, 0.0890, 0.0976, 0.1073, 0.1188, 0.1325, 0.1476, 0.1661, 0.1860, 0.2113, 0.2435, 0.2817, 0.3287, 0.3830, 0.4530, 0.5521, 0.6716, 0.8382, 1.0792, 1.4144, 1.9543, 2.7021, 2.3764, 1.7208, 1.2956, 0.9851, 0.7508, // Scale factors for energy = 17.0 0.0394, 0.0393, 0.0419, 0.0435, 0.0479, 0.0506, 0.0525, 0.0546, 0.0570, 0.0606, 0.0646, 0.0693, 0.0742, 0.0807, 0.0886, 0.0968, 0.1058, 0.1183, 0.1332, 0.1474, 0.1637, 0.1844, 0.2100, 0.2394, 0.2762, 0.3243, 0.3810, 0.4529, 0.5394, 0.6608, 0.8366, 1.0811, 1.4239, 1.9672, 2.7023, 2.3766, 1.7246, 1.2891, 0.9599, 0.7403, // Scale factors for energy = 18.0 0.0315, 0.0342, 0.0350, 0.0370, 0.0400, 0.0441, 0.0473, 0.0501, 0.0528, 0.0563, 0.0608, 0.0654, 0.0706, 0.0776, 0.0851, 0.0952, 0.1054, 0.1159, 0.1288, 0.1435, 0.1593, 0.1818, 0.2052, 0.2348, 0.2710, 0.3175, 0.3749, 0.4493, 0.5419, 0.6685, 0.8444, 1.0808, 1.4232, 1.9808, 2.7633, 2.4132, 1.7257, 1.2874, 0.9702, 0.7302, // Scale factors for energy = 19.0 0.0346, 0.0360, 0.0376, 0.0385, 0.0408, 0.0434, 0.0469, 0.0495, 0.0538, 0.0568, 0.0616, 0.0663, 0.0709, 0.0769, 0.0846, 0.0922, 0.1012, 0.1124, 0.1251, 0.1405, 0.1579, 0.1788, 0.2015, 0.2330, 0.2702, 0.3175, 0.3745, 0.4471, 0.5417, 0.6634, 0.8341, 1.0622, 1.4269, 2.0097, 2.7909, 2.4368, 1.7301, 1.2717, 0.9579, 0.7248, // Scale factors for energy = 20.0 0.0345, 0.0382, 0.0408, 0.0437, 0.0454, 0.0484, 0.0504, 0.0536, 0.0565, 0.0593, 0.0615, 0.0667, 0.0719, 0.0786, 0.0843, 0.0920, 0.0997, 0.1083, 0.1199, 0.1356, 0.1513, 0.1718, 0.1949, 0.2242, 0.2602, 0.3027, 0.3573, 0.4301, 0.5260, 0.6480, 0.8143, 1.0541, 1.4313, 2.0412, 2.8904, 2.4951, 1.7410, 1.2463, 0.9356, 0.6948, // Scale factors for energy = 22.0 0.0249, 0.0272, 0.0291, 0.0312, 0.0350, 0.0384, 0.0411, 0.0443, 0.0476, 0.0521, 0.0561, 0.0616, 0.0662, 0.0726, 0.0804, 0.0893, 0.0988, 0.1105, 0.1216, 0.1366, 0.1537, 0.1729, 0.1945, 0.2241, 0.2569, 0.2974, 0.3499, 0.4215, 0.5134, 0.6416, 0.8252, 1.0735, 1.4563, 2.0730, 2.9250, 2.5243, 1.7678, 1.2692, 0.9164, 0.6790, // Scale factors for energy = 24.0 0.0305, 0.0323, 0.0345, 0.0362, 0.0382, 0.0405, 0.0428, 0.0470, 0.0511, 0.0549, 0.0588, 0.0620, 0.0678, 0.0732, 0.0791, 0.0866, 0.0957, 0.1067, 0.1201, 0.1340, 0.1500, 0.1693, 0.1940, 0.2226, 0.2558, 0.2948, 0.3460, 0.4134, 0.5063, 0.6334, 0.8024, 1.0503, 1.4513, 2.0869, 3.0138, 2.5618, 1.7529, 1.2303, 0.9000, 0.6727, // Scale factors for energy = 26.0 0.0281, 0.0299, 0.0318, 0.0348, 0.0372, 0.0397, 0.0418, 0.0443, 0.0485, 0.0523, 0.0557, 0.0608, 0.0655, 0.0713, 0.0785, 0.0872, 0.0973, 0.1060, 0.1166, 0.1312, 0.1475, 0.1657, 0.1872, 0.2143, 0.2470, 0.2901, 0.3434, 0.4112, 0.5032, 0.6244, 0.8071, 1.0653, 1.4558, 2.1088, 3.0433, 2.5876, 1.7518, 1.2377, 0.8911, 0.6589, // Scale factors for energy = 28.0 0.0280, 0.0291, 0.0303, 0.0326, 0.0339, 0.0358, 0.0390, 0.0424, 0.0448, 0.0484, 0.0521, 0.0570, 0.0619, 0.0669, 0.0729, 0.0808, 0.0892, 0.0993, 0.1098, 0.1232, 0.1369, 0.1547, 0.1783, 0.2023, 0.2345, 0.2755, 0.3287, 0.3992, 0.4902, 0.6119, 0.7857, 1.0430, 1.4663, 2.1685, 3.1676, 2.6743, 1.7800, 1.2175, 0.8703, 0.6371, // Scale factors for energy = 30.0 0.0251, 0.0269, 0.0285, 0.0299, 0.0318, 0.0345, 0.0375, 0.0407, 0.0438, 0.0464, 0.0506, 0.0541, 0.0605, 0.0674, 0.0738, 0.0822, 0.0909, 0.1010, 0.1130, 0.1272, 0.1427, 0.1616, 0.1828, 0.2088, 0.2401, 0.2795, 0.3268, 0.3920, 0.4793, 0.6021, 0.7845, 1.0446, 1.4497, 2.1480, 3.2257, 2.6767, 1.7609, 1.2223, 0.8656, 0.6405, // Scale factors for energy = 32.0 0.0281, 0.0289, 0.0305, 0.0319, 0.0335, 0.0351, 0.0378, 0.0415, 0.0443, 0.0481, 0.0519, 0.0559, 0.0606, 0.0659, 0.0718, 0.0792, 0.0869, 0.0962, 0.1065, 0.1191, 0.1340, 0.1517, 0.1733, 0.2001, 0.2322, 0.2719, 0.3215, 0.3835, 0.4776, 0.6017, 0.7808, 1.0476, 1.4646, 2.1903, 3.2627, 2.7134, 1.7695, 1.2080, 0.8456, 0.6161, // Scale factors for energy = 34.0 0.0248, 0.0292, 0.0300, 0.0312, 0.0332, 0.0356, 0.0378, 0.0406, 0.0438, 0.0474, 0.0524, 0.0575, 0.0624, 0.0659, 0.0728, 0.0808, 0.0898, 0.0982, 0.1089, 0.1221, 0.1347, 0.1518, 0.1733, 0.1972, 0.2284, 0.2647, 0.3128, 0.3797, 0.4688, 0.5903, 0.7613, 1.0254, 1.4565, 2.2045, 3.3333, 2.7521, 1.7690, 1.1872, 0.8410, 0.6039, // Scale factors for energy = 36.0 0.0246, 0.0263, 0.0284, 0.0293, 0.0308, 0.0332, 0.0354, 0.0387, 0.0412, 0.0447, 0.0489, 0.0533, 0.0572, 0.0622, 0.0678, 0.0732, 0.0812, 0.0901, 0.1002, 0.1120, 0.1260, 0.1442, 0.1662, 0.1921, 0.2226, 0.2612, 0.3108, 0.3750, 0.4638, 0.5891, 0.7754, 1.0470, 1.4707, 2.2224, 3.3769, 2.7700, 1.7803, 1.2030, 0.8279, 0.5968, // Scale factors for energy = 38.0 0.0271, 0.0290, 0.0304, 0.0319, 0.0337, 0.0358, 0.0389, 0.0415, 0.0443, 0.0480, 0.0516, 0.0556, 0.0602, 0.0658, 0.0723, 0.0778, 0.0858, 0.0942, 0.1044, 0.1171, 0.1331, 0.1491, 0.1697, 0.1967, 0.2271, 0.2643, 0.3115, 0.3730, 0.4580, 0.5827, 0.7526, 1.0165, 1.4505, 2.2263, 3.4076, 2.7878, 1.7504, 1.1709, 0.8240, 0.6029, // Scale factors for energy = 40.0 0.0249, 0.0257, 0.0276, 0.0299, 0.0320, 0.0342, 0.0371, 0.0400, 0.0427, 0.0453, 0.0483, 0.0526, 0.0573, 0.0618, 0.0669, 0.0727, 0.0809, 0.0889, 0.1001, 0.1112, 0.1259, 0.1424, 0.1644, 0.1903, 0.2204, 0.2574, 0.3062, 0.3693, 0.4551, 0.5757, 0.7496, 1.0106, 1.4568, 2.2537, 3.4928, 2.8297, 1.7582, 1.1627, 0.8092, 0.5892, ], // Probability that a Rayleigh scattered photon will be late. rayleigh_late_prob: [ // Probability for u.p' = -0.975 0.6140, 0.6030, 0.6314, 0.6507, 0.6599, 0.6591, 0.6748, 0.6473, 0.6350, 0.6667, 0.6840, 0.6752, 0.6742, 0.6771, 0.6678, 0.6707, 0.6672, 0.6716, 0.6811, 0.6914, 0.6609, 0.6107, 0.6449, 0.6350, 0.6206, 0.5799, 0.5649, 0.5759, 0.5474, 0.5779, 0.5612, 0.5178, 0.5420, 0.5656, 0.5943, 0.5694, 0.5888, 0.5699, 0.6124, 0.6229, 0.5895, 0.5919, 0.6206, 0.6258, 0.6233, 0.6218, 0.5900, 0.6214, // Probability for u.p' = -0.925 0.6094, 0.6250, 0.6368, 0.6173, 0.6444, 0.5996, 0.6569, 0.6628, 0.6481, 0.6528, 0.6431, 0.6651, 0.6711, 0.6651, 0.6732, 0.6720, 0.6610, 0.6995, 0.6356, 0.6702, 0.6601, 0.6419, 0.6197, 0.5927, 0.5614, 0.5605, 0.5474, 0.5532, 0.5533, 0.5280, 0.5367, 0.5721, 0.5704, 0.5723, 0.5540, 0.6131, 0.5727, 0.5917, 0.5647, 0.5756, 0.5733, 0.5766, 0.5949, 0.5661, 0.6119, 0.6128, 0.6148, 0.6495, // Probability for u.p' = -0.875 0.6034, 0.5970, 0.6266, 0.6533, 0.6380, 0.6414, 0.6617, 0.6775, 0.6494, 0.6900, 0.6406, 0.6481, 0.6643, 0.6764, 0.6531, 0.6360, 0.6491, 0.6646, 0.6453, 0.6747, 0.6580, 0.6335, 0.6117, 0.5820, 0.5904, 0.5345, 0.5211, 0.5129, 0.4906, 0.5443, 0.5486, 0.5195, 0.5213, 0.5424, 0.5305, 0.5616, 0.5684, 0.5417, 0.5770, 0.5990, 0.5737, 0.5732, 0.5800, 0.5543, 0.6088, 0.6070, 0.5737, 0.5491, // Probability for u.p' = -0.825 0.6093, 0.6091, 0.6311, 0.6158, 0.6203, 0.6165, 0.6466, 0.6101, 0.6570, 0.6176, 0.6211, 0.6757, 0.6517, 0.6618, 0.6604, 0.6497, 0.6304, 0.6706, 0.6561, 0.6600, 0.6122, 0.6111, 0.5885, 0.5789, 0.5185, 0.5146, 0.5115, 0.5228, 0.5517, 0.5595, 0.5222, 0.5226, 0.5293, 0.5416, 0.5391, 0.5383, 0.5496, 0.5383, 0.5481, 0.5469, 0.5598, 0.5754, 0.5599, 0.5802, 0.5868, 0.5632, 0.6140, 0.6561, // Probability for u.p' = -0.775 0.6055, 0.5961, 0.6151, 0.6144, 0.6304, 0.6088, 0.6226, 0.6408, 0.6485, 0.6209, 0.6232, 0.6263, 0.6329, 0.6325, 0.6402, 0.6329, 0.6633, 0.6508, 0.6214, 0.6445, 0.6667, 0.5917, 0.5616, 0.5368, 0.5419, 0.5042, 0.5318, 0.4433, 0.4939, 0.4878, 0.4551, 0.4895, 0.5357, 0.5352, 0.4946, 0.5151, 0.5338, 0.5418, 0.5660, 0.5670, 0.5400, 0.5466, 0.5349, 0.5881, 0.5627, 0.5810, 0.5954, 0.6126, // Probability for u.p' = -0.725 0.6291, 0.6360, 0.6149, 0.6026, 0.6366, 0.6227, 0.6140, 0.6233, 0.6420, 0.6281, 0.6423, 0.6304, 0.6404, 0.6671, 0.6387, 0.6321, 0.6150, 0.6224, 0.6156, 0.6349, 0.5571, 0.6090, 0.5160, 0.5197, 0.4916, 0.5009, 0.4418, 0.4941, 0.4683, 0.4815, 0.4946, 0.5219, 0.5230, 0.4951, 0.5146, 0.5587, 0.5388, 0.5099, 0.5142, 0.5589, 0.5513, 0.5673, 0.5610, 0.5214, 0.5447, 0.5576, 0.5725, 0.5363, // Probability for u.p' = -0.675 0.5849, 0.5788, 0.5989, 0.6536, 0.5997, 0.6460, 0.6267, 0.6616, 0.6101, 0.6650, 0.6401, 0.6253, 0.5827, 0.6442, 0.6132, 0.6342, 0.6151, 0.6070, 0.6177, 0.6222, 0.6491, 0.5323, 0.5219, 0.4961, 0.4451, 0.4765, 0.4329, 0.4467, 0.4370, 0.4961, 0.4731, 0.4686, 0.4578, 0.4698, 0.4909, 0.4950, 0.5056, 0.5124, 0.5312, 0.5427, 0.5475, 0.5492, 0.5476, 0.5320, 0.5823, 0.6017, 0.6033, 0.5677, // Probability for u.p' = -0.625 0.5776, 0.6051, 0.5883, 0.5911, 0.6302, 0.6261, 0.6208, 0.6150, 0.5821, 0.6409, 0.5949, 0.6271, 0.6191, 0.5877, 0.6218, 0.6286, 0.6085, 0.6254, 0.6243, 0.6050, 0.5667, 0.5326, 0.4882, 0.4429, 0.4332, 0.4088, 0.3918, 0.4135, 0.4234, 0.4344, 0.4446, 0.4784, 0.4736, 0.4837, 0.4921, 0.4844, 0.5225, 0.5187, 0.5314, 0.5215, 0.5421, 0.5517, 0.5717, 0.5980, 0.5615, 0.5864, 0.5669, 0.6066, // Probability for u.p' = -0.575 0.6267, 0.6003, 0.5794, 0.5914, 0.6150, 0.6088, 0.6300, 0.5977, 0.6239, 0.6168, 0.6378, 0.5788, 0.5989, 0.5938, 0.6197, 0.6282, 0.5946, 0.5966, 0.6028, 0.6008, 0.6107, 0.5407, 0.5084, 0.4518, 0.4328, 0.4172, 0.3784, 0.4434, 0.4494, 0.4385, 0.4601, 0.4859, 0.4955, 0.4761, 0.4988, 0.5060, 0.5279, 0.5340, 0.5511, 0.5904, 0.5316, 0.5358, 0.5646, 0.5417, 0.5208, 0.5534, 0.5422, 0.5556, // Probability for u.p' = -0.525 0.5625, 0.5897, 0.6018, 0.6003, 0.5992, 0.6291, 0.5821, 0.6228, 0.6190, 0.6070, 0.6145, 0.5807, 0.6201, 0.5953, 0.5756, 0.5968, 0.6127, 0.5552, 0.6120, 0.5782, 0.5960, 0.4920, 0.4143, 0.3982, 0.3866, 0.3341, 0.4139, 0.4099, 0.4462, 0.4474, 0.4521, 0.5044, 0.4929, 0.5411, 0.5246, 0.5441, 0.5297, 0.5518, 0.5050, 0.5120, 0.5318, 0.5254, 0.4849, 0.5388, 0.5125, 0.5120, 0.5357, 0.4747, // Probability for u.p' = -0.475 0.5951, 0.6177, 0.5798, 0.6476, 0.5908, 0.5968, 0.5788, 0.5869, 0.5843, 0.5413, 0.5714, 0.6060, 0.5705, 0.5966, 0.6359, 0.5507, 0.6290, 0.6076, 0.5969, 0.5668, 0.5133, 0.4887, 0.3948, 0.3681, 0.3271, 0.3455, 0.3948, 0.4213, 0.4406, 0.4666, 0.5117, 0.5233, 0.5037, 0.5093, 0.5031, 0.5156, 0.5080, 0.4971, 0.4762, 0.4928, 0.4942, 0.4975, 0.4827, 0.4713, 0.4850, 0.4808, 0.4984, 0.4387, // Probability for u.p' = -0.425 0.5310, 0.5548, 0.5714, 0.5624, 0.5828, 0.6172, 0.5690, 0.5732, 0.5777, 0.6118, 0.5997, 0.5784, 0.6058, 0.5546, 0.5549, 0.5785, 0.5441, 0.5519, 0.5545, 0.5651, 0.5359, 0.4655, 0.3737, 0.2926, 0.3226, 0.4131, 0.4368, 0.4571, 0.4681, 0.5084, 0.5005, 0.4824, 0.4658, 0.5009, 0.4798, 0.4941, 0.4667, 0.4826, 0.4718, 0.4736, 0.4599, 0.4618, 0.4476, 0.4646, 0.4149, 0.4522, 0.4251, 0.4271, // Probability for u.p' = -0.375 0.5648, 0.6181, 0.5871, 0.5635, 0.5596, 0.6491, 0.5805, 0.6211, 0.5756, 0.5821, 0.5830, 0.5689, 0.5664, 0.5996, 0.5678, 0.5637, 0.5427, 0.5590, 0.5791, 0.5497, 0.4923, 0.3852, 0.3104, 0.3925, 0.3494, 0.4170, 0.4618, 0.4932, 0.4681, 0.5053, 0.4702, 0.4645, 0.4726, 0.4473, 0.4576, 0.4530, 0.4333, 0.4604, 0.4450, 0.4224, 0.4347, 0.4410, 0.3899, 0.4125, 0.4041, 0.4284, 0.4115, 0.3817, // Probability for u.p' = -0.325 0.5714, 0.5557, 0.5889, 0.5864, 0.5819, 0.5761, 0.5603, 0.5269, 0.5588, 0.5841, 0.5236, 0.5318, 0.5433, 0.5819, 0.5490, 0.5221, 0.5694, 0.5136, 0.5317, 0.4868, 0.4734, 0.3649, 0.3767, 0.3547, 0.4416, 0.4420, 0.4386, 0.4644, 0.4427, 0.4330, 0.4571, 0.4373, 0.4439, 0.4418, 0.4139, 0.4573, 0.4210, 0.4103, 0.3695, 0.4150, 0.4130, 0.3718, 0.4008, 0.3959, 0.3380, 0.3612, 0.3394, 0.3254, // Probability for u.p' = -0.275 0.5981, 0.6022, 0.5525, 0.5603, 0.5490, 0.5628, 0.5963, 0.5550, 0.5981, 0.5424, 0.5485, 0.5502, 0.5755, 0.5772, 0.5359, 0.5327, 0.5098, 0.4595, 0.4866, 0.5052, 0.3631, 0.3625, 0.3447, 0.4256, 0.4354, 0.4158, 0.4299, 0.4519, 0.4134, 0.4218, 0.4054, 0.3963, 0.4201, 0.4057, 0.4151, 0.3873, 0.4021, 0.3905, 0.4047, 0.3547, 0.3556, 0.3590, 0.3384, 0.3136, 0.3110, 0.3275, 0.3039, 0.3481, // Probability for u.p' = -0.225 0.5573, 0.5918, 0.5955, 0.5792, 0.5622, 0.5550, 0.5659, 0.5886, 0.5478, 0.5316, 0.5822, 0.5326, 0.5720, 0.5595, 0.5288, 0.4988, 0.4858, 0.5414, 0.5255, 0.4102, 0.4028, 0.3710, 0.3946, 0.3779, 0.4076, 0.3980, 0.4140, 0.4301, 0.4179, 0.4135, 0.3890, 0.4212, 0.3664, 0.3515, 0.3795, 0.3784, 0.3366, 0.3491, 0.3439, 0.3353, 0.3470, 0.3368, 0.3008, 0.2930, 0.3180, 0.3110, 0.3478, 0.2435, // Probability for u.p' = -0.175 0.6009, 0.5736, 0.5579, 0.5846, 0.5417, 0.5408, 0.5471, 0.5078, 0.5383, 0.5525, 0.5038, 0.5213, 0.5082, 0.5269, 0.5310, 0.4815, 0.5040, 0.5300, 0.4533, 0.5224, 0.3837, 0.3826, 0.4157, 0.3818, 0.3734, 0.3754, 0.3685, 0.3903, 0.3840, 0.3972, 0.3750, 0.3500, 0.3846, 0.3760, 0.3452, 0.3386, 0.3342, 0.3169, 0.3576, 0.2928, 0.2804, 0.2848, 0.2740, 0.2924, 0.3020, 0.2787, 0.2442, 0.2400, // Probability for u.p' = -0.125 0.5786, 0.5904, 0.5663, 0.5311, 0.5906, 0.5558, 0.5402, 0.5526, 0.5857, 0.5182, 0.4947, 0.5473, 0.4913, 0.4758, 0.4772, 0.4569, 0.4945, 0.5273, 0.4815, 0.4688, 0.4103, 0.3651, 0.3728, 0.3608, 0.3833, 0.3618, 0.3353, 0.3440, 0.3384, 0.3715, 0.3680, 0.3419, 0.3556, 0.3214, 0.3305, 0.3319, 0.3232, 0.3038, 0.2928, 0.2904, 0.2962, 0.2595, 0.2577, 0.2596, 0.2539, 0.3067, 0.2719, 0.2366, // Probability for u.p' = -0.075 0.5308, 0.5743, 0.5527, 0.5576, 0.5806, 0.5594, 0.5048, 0.5402, 0.5441, 0.5140, 0.5311, 0.5429, 0.5398, 0.4863, 0.5189, 0.4620, 0.5204, 0.4904, 0.4358, 0.4229, 0.3788, 0.3547, 0.3481, 0.3580, 0.3700, 0.3519, 0.3453, 0.3451, 0.3219, 0.3551, 0.3258, 0.3232, 0.3035, 0.3073, 0.3140, 0.3055, 0.3180, 0.2971, 0.2678, 0.2561, 0.2562, 0.2389, 0.2480, 0.2577, 0.2640, 0.2901, 0.2521, 0.2500, // Probability for u.p' = -0.025 0.5774, 0.6010, 0.5434, 0.5728, 0.5638, 0.5670, 0.5073, 0.5191, 0.5525, 0.5107, 0.5500, 0.5197, 0.5052, 0.4781, 0.4765, 0.5267, 0.4379, 0.4015, 0.4909, 0.4213, 0.3298, 0.3451, 0.3619, 0.3428, 0.3366, 0.3254, 0.3142, 0.3536, 0.3362, 0.2969, 0.3319, 0.2820, 0.3261, 0.2589, 0.3002, 0.3064, 0.3108, 0.2776, 0.3006, 0.2588, 0.2542, 0.2545, 0.2541, 0.2668, 0.2207, 0.2988, 0.2155, 0.2812, // Probability for u.p' = 0.025 0.5858, 0.5453, 0.5548, 0.5488, 0.5720, 0.5430, 0.4864, 0.5618, 0.5061, 0.5120, 0.5545, 0.4987, 0.4086, 0.4942, 0.4773, 0.4568, 0.4432, 0.5019, 0.3992, 0.4054, 0.3228, 0.3064, 0.3365, 0.3178, 0.3128, 0.3351, 0.3355, 0.3117, 0.3447, 0.3246, 0.3111, 0.3015, 0.2741, 0.2960, 0.3038, 0.2885, 0.2804, 0.2392, 0.2735, 0.2759, 0.3201, 0.2566, 0.2197, 0.2640, 0.2500, 0.2578, 0.2937, 0.2429, // Probability for u.p' = 0.075 0.5550, 0.5438, 0.5566, 0.5558, 0.5396, 0.5170, 0.5327, 0.4955, 0.5179, 0.4956, 0.5302, 0.4888, 0.4423, 0.5170, 0.4220, 0.4189, 0.4249, 0.3869, 0.3883, 0.3939, 0.3529, 0.3180, 0.2963, 0.3372, 0.2920, 0.3093, 0.3019, 0.3138, 0.2945, 0.2966, 0.3012, 0.2985, 0.2766, 0.2965, 0.2620, 0.2541, 0.2520, 0.2647, 0.2500, 0.2213, 0.2128, 0.2493, 0.1667, 0.2828, 0.2583, 0.3043, 0.3010, 0.2857, // Probability for u.p' = 0.125 0.5477, 0.5655, 0.5470, 0.5330, 0.5453, 0.5639, 0.5260, 0.5085, 0.5169, 0.5606, 0.4849, 0.4973, 0.4379, 0.4713, 0.4615, 0.4000, 0.4194, 0.4383, 0.4042, 0.3797, 0.3074, 0.3140, 0.2969, 0.2784, 0.2997, 0.2991, 0.2947, 0.2748, 0.2796, 0.2890, 0.2667, 0.2549, 0.2573, 0.2762, 0.2519, 0.2699, 0.2985, 0.2482, 0.2368, 0.2622, 0.2582, 0.2676, 0.2546, 0.2510, 0.3174, 0.2849, 0.2554, 0.2500, // Probability for u.p' = 0.175 0.5968, 0.5664, 0.5337, 0.5597, 0.5209, 0.5297, 0.4486, 0.5394, 0.5027, 0.4890, 0.4721, 0.4467, 0.4585, 0.4420, 0.3950, 0.3770, 0.4383, 0.4044, 0.3498, 0.3800, 0.4032, 0.3092, 0.2566, 0.3062, 0.2933, 0.2810, 0.2859, 0.3033, 0.2685, 0.2629, 0.2266, 0.2761, 0.2657, 0.2339, 0.2739, 0.2889, 0.2461, 0.3098, 0.3266, 0.2623, 0.2449, 0.2560, 0.2579, 0.2512, 0.3240, 0.2586, 0.2162, 0.2500, // Probability for u.p' = 0.225 0.5506, 0.5580, 0.5255, 0.5179, 0.5197, 0.4753, 0.5397, 0.5068, 0.5237, 0.4605, 0.4667, 0.4626, 0.4500, 0.4458, 0.3881, 0.4101, 0.3966, 0.4038, 0.3897, 0.3846, 0.2569, 0.2937, 0.2971, 0.2680, 0.2937, 0.2708, 0.2914, 0.2904, 0.2570, 0.3013, 0.2854, 0.2799, 0.2811, 0.2471, 0.2755, 0.2035, 0.2429, 0.2349, 0.2523, 0.2290, 0.2520, 0.2640, 0.2745, 0.2722, 0.2500, 0.2429, 0.3594, 0.4286, // Probability for u.p' = 0.275 0.6117, 0.5423, 0.5360, 0.4876, 0.4932, 0.5523, 0.4851, 0.4903, 0.4637, 0.4795, 0.4558, 0.4172, 0.3498, 0.3973, 0.3555, 0.4043, 0.3909, 0.3493, 0.3538, 0.3385, 0.3190, 0.2857, 0.2677, 0.2729, 0.2612, 0.2677, 0.2387, 0.2652, 0.2378, 0.2198, 0.2808, 0.2787, 0.2361, 0.2370, 0.2397, 0.2605, 0.2906, 0.2557, 0.2483, 0.2231, 0.2844, 0.3527, 0.2531, 0.2635, 0.2462, 0.2643, 0.2632, 0.2353, // Probability for u.p' = 0.325 0.5077, 0.5299, 0.5197, 0.4969, 0.5434, 0.5027, 0.5366, 0.4794, 0.4650, 0.4858, 0.4256, 0.4325, 0.3553, 0.4242, 0.4073, 0.3793, 0.3607, 0.3189, 0.3372, 0.3600, 0.2593, 0.2704, 0.2273, 0.2807, 0.2616, 0.2584, 0.2486, 0.3105, 0.2341, 0.2655, 0.2674, 0.2360, 0.2423, 0.2535, 0.2772, 0.2335, 0.2632, 0.2199, 0.2320, 0.2398, 0.1962, 0.3023, 0.2468, 0.3077, 0.3219, 0.3426, 0.3564, 0.2000, // Probability for u.p' = 0.375 0.5592, 0.5520, 0.5507, 0.5195, 0.4962, 0.4881, 0.5315, 0.4926, 0.4463, 0.4652, 0.4536, 0.4348, 0.3740, 0.3965, 0.3778, 0.3791, 0.3652, 0.3958, 0.3280, 0.3559, 0.2629, 0.2552, 0.2655, 0.2632, 0.2683, 0.2586, 0.2300, 0.2477, 0.2321, 0.2488, 0.2310, 0.2545, 0.2507, 0.2744, 0.2576, 0.2203, 0.2464, 0.2305, 0.2383, 0.2913, 0.2692, 0.2659, 0.2531, 0.2927, 0.2793, 0.2110, 0.3059, 0.4762, // Probability for u.p' = 0.425 0.6048, 0.5192, 0.4967, 0.5033, 0.5512, 0.5172, 0.4784, 0.4747, 0.4433, 0.4120, 0.4316, 0.4388, 0.4380, 0.3991, 0.3350, 0.3274, 0.3291, 0.2651, 0.4094, 0.3684, 0.2632, 0.2691, 0.2736, 0.2477, 0.2535, 0.2545, 0.2397, 0.2327, 0.2478, 0.2569, 0.2480, 0.2355, 0.3313, 0.2462, 0.2297, 0.2558, 0.2625, 0.2857, 0.2961, 0.2941, 0.2971, 0.3296, 0.3026, 0.2946, 0.3304, 0.3258, 0.3649, 0.2632, // Probability for u.p' = 0.475 0.5654, 0.5261, 0.4918, 0.5261, 0.4499, 0.5268, 0.4604, 0.4098, 0.4520, 0.4649, 0.3864, 0.3755, 0.4069, 0.4027, 0.3867, 0.3480, 0.2892, 0.3077, 0.3046, 0.2727, 0.2849, 0.2400, 0.2172, 0.2015, 0.2348, 0.2604, 0.2398, 0.2139, 0.2428, 0.2368, 0.2536, 0.2568, 0.2197, 0.2677, 0.2724, 0.2773, 0.2227, 0.3000, 0.2944, 0.2541, 0.2807, 0.2667, 0.3121, 0.3274, 0.1923, 0.3140, 0.3846, 0.1667, // Probability for u.p' = 0.525 0.5858, 0.5339, 0.5085, 0.5378, 0.5078, 0.4847, 0.4642, 0.4515, 0.3937, 0.4318, 0.4291, 0.4025, 0.3843, 0.3915, 0.3524, 0.3351, 0.3822, 0.3529, 0.3537, 0.3010, 0.2768, 0.2398, 0.2308, 0.2315, 0.2315, 0.2447, 0.2433, 0.2268, 0.2672, 0.2931, 0.2274, 0.2361, 0.2582, 0.2707, 0.2681, 0.2301, 0.2892, 0.2864, 0.2471, 0.2722, 0.3550, 0.2519, 0.2114, 0.2979, 0.2889, 0.3511, 0.4394, 0.3750, // Probability for u.p' = 0.575 0.5388, 0.5126, 0.5169, 0.5147, 0.4741, 0.4230, 0.5000, 0.4422, 0.3963, 0.4594, 0.4071, 0.4156, 0.3628, 0.3191, 0.3249, 0.3371, 0.3036, 0.2765, 0.2517, 0.3942, 0.2367, 0.2234, 0.2177, 0.2188, 0.2215, 0.2085, 0.1843, 0.2649, 0.2385, 0.2471, 0.2500, 0.1735, 0.2287, 0.2618, 0.2235, 0.2691, 0.2500, 0.2034, 0.3198, 0.2744, 0.2857, 0.2463, 0.3071, 0.2680, 0.4198, 0.3538, 0.3205, 0.2857, // Probability for u.p' = 0.625 0.5530, 0.5161, 0.5174, 0.4610, 0.4744, 0.5056, 0.4646, 0.4795, 0.4271, 0.4170, 0.4601, 0.4105, 0.3377, 0.4147, 0.3522, 0.3013, 0.3099, 0.3425, 0.2552, 0.4433, 0.2840, 0.2114, 0.2162, 0.2276, 0.2199, 0.2225, 0.2386, 0.2138, 0.2113, 0.2061, 0.2500, 0.2295, 0.2251, 0.2376, 0.2667, 0.2642, 0.2247, 0.2342, 0.2625, 0.1837, 0.3212, 0.2913, 0.2477, 0.2979, 0.2963, 0.2250, 0.4638, 0.3750, // Probability for u.p' = 0.675 0.5411, 0.5231, 0.5025, 0.4686, 0.5000, 0.4956, 0.4506, 0.3954, 0.4610, 0.3966, 0.4153, 0.4213, 0.3713, 0.3706, 0.3036, 0.3023, 0.2672, 0.3000, 0.2365, 0.2039, 0.2281, 0.1971, 0.2138, 0.2321, 0.2037, 0.2063, 0.2141, 0.2561, 0.2188, 0.2535, 0.2797, 0.2548, 0.2344, 0.2765, 0.3019, 0.2654, 0.2741, 0.2548, 0.2574, 0.2014, 0.2677, 0.2712, 0.3656, 0.2857, 0.2432, 0.3607, 0.3091, 0.5333, // Probability for u.p' = 0.725 0.5417, 0.5072, 0.4754, 0.5109, 0.4667, 0.4618, 0.4676, 0.4275, 0.4470, 0.4245, 0.4393, 0.3929, 0.3351, 0.2901, 0.3370, 0.2958, 0.2635, 0.2649, 0.2441, 0.3367, 0.1711, 0.2463, 0.2092, 0.1875, 0.2584, 0.1971, 0.2523, 0.2383, 0.2293, 0.1906, 0.2367, 0.2365, 0.2545, 0.2368, 0.2857, 0.1940, 0.2485, 0.2346, 0.2207, 0.2406, 0.3058, 0.2897, 0.3402, 0.3284, 0.2600, 0.3529, 0.3200, 0.2941, // Probability for u.p' = 0.775 0.5348, 0.5212, 0.4840, 0.4768, 0.4931, 0.4561, 0.4421, 0.4222, 0.4222, 0.4498, 0.3894, 0.3351, 0.3089, 0.3118, 0.3125, 0.3515, 0.2808, 0.3307, 0.2937, 0.2267, 0.2327, 0.2212, 0.2643, 0.2041, 0.2521, 0.2415, 0.2190, 0.2308, 0.2602, 0.2321, 0.2369, 0.2157, 0.2372, 0.2523, 0.2757, 0.2346, 0.3110, 0.2183, 0.2388, 0.2547, 0.3217, 0.3333, 0.3095, 0.3067, 0.3088, 0.3220, 0.3636, 0.3684, // Probability for u.p' = 0.825 0.5342, 0.5053, 0.4975, 0.5042, 0.4526, 0.4286, 0.4167, 0.3867, 0.4318, 0.4009, 0.4604, 0.3784, 0.3568, 0.2690, 0.2834, 0.3046, 0.2628, 0.2927, 0.2975, 0.3293, 0.2636, 0.2135, 0.2021, 0.2213, 0.1962, 0.2166, 0.2288, 0.2063, 0.2689, 0.2214, 0.2618, 0.2301, 0.2464, 0.2578, 0.2312, 0.2849, 0.2662, 0.2180, 0.3333, 0.2689, 0.3000, 0.2000, 0.2771, 0.3333, 0.2857, 0.2542, 0.3793, 0.2143, // Probability for u.p' = 0.875 0.5372, 0.5102, 0.4660, 0.5184, 0.4758, 0.4840, 0.4753, 0.4264, 0.3924, 0.4081, 0.3788, 0.3557, 0.3470, 0.2944, 0.3111, 0.2483, 0.2955, 0.2800, 0.3554, 0.3511, 0.1417, 0.2104, 0.2005, 0.2479, 0.2478, 0.1930, 0.2892, 0.2418, 0.2510, 0.1734, 0.2561, 0.2683, 0.2393, 0.2944, 0.2738, 0.2612, 0.3254, 0.3258, 0.2647, 0.2773, 0.2941, 0.2632, 0.2785, 0.3614, 0.4231, 0.3906, 0.4681, 0.3889, // Probability for u.p' = 0.925 0.5362, 0.4868, 0.4735, 0.4864, 0.4367, 0.4345, 0.3985, 0.4730, 0.4202, 0.3416, 0.4136, 0.3179, 0.3118, 0.3041, 0.3636, 0.3235, 0.3529, 0.2538, 0.4017, 0.3333, 0.2426, 0.1899, 0.2099, 0.2473, 0.2391, 0.2186, 0.2009, 0.2455, 0.2389, 0.2906, 0.2420, 0.2249, 0.2749, 0.2541, 0.3290, 0.2759, 0.2097, 0.2817, 0.2645, 0.2661, 0.2586, 0.2870, 0.3038, 0.2692, 0.3667, 0.4500, 0.4634, 0.4118, // Probability for u.p' = 0.975 0.5400, 0.4869, 0.4354, 0.4818, 0.4747, 0.4748, 0.4924, 0.4513, 0.4417, 0.4298, 0.3384, 0.4030, 0.3279, 0.3061, 0.3728, 0.3193, 0.2868, 0.3306, 0.3391, 0.3333, 0.2913, 0.2327, 0.2074, 0.2235, 0.2143, 0.2165, 0.1974, 0.2262, 0.2165, 0.2456, 0.2455, 0.2010, 0.2667, 0.2407, 0.2704, 0.2911, 0.2683, 0.2655, 0.3070, 0.2059, 0.3500, 0.3000, 0.3059, 0.3611, 0.4314, 0.4082, 0.2979, 0.2941, ], pmt_angular_response: [1.0000, 0.9715, 0.9868, 0.9808, 0.9747, 0.9843, 0.9846, 0.9835, 0.9857, 0.9937, 0.9901, 0.9907, 0.9927, 0.9971, 0.9931, 0.9950, 0.9952, 0.9908, 0.9990, 0.9962, 0.9991, 0.9988, 1.0008, 0.9954, 0.9918, 0.9923, 0.9863, 0.9831, 0.9760, 0.9687, 0.9618, 0.9511, 0.9373, 0.9281, 0.9156, 0.8976, 0.8825, 0.8670, 0.8528, 0.8326, 0.8122, 0.7917, 0.7636, 0.7394, 0.7076, 0.6867, 0.6654, 0.6487, 0.6305, 0.6133, 0.5977, 0.5775, 0.5522, 0.5217, 0.4898, 0.4514, 0.4103, 0.3668, 0.3276, 0.2917, 0.2607, 0.2358, 0.2138, 0.1973, 0.1813, 0.1696, 0.1570, 0.1494, 0.1337, 0.1303, 0.1235, 0.1185, 0.1186, 0.1081, 0.1130, 0.1037, 0.1084, 0.1049, 0.0995, 0.0965, 0.1056, 0.0997, 0.0852, 0.0880, 0.0852, 0.0789, 0.0775, 0.0606, 0.0507, 0.0096, ], predicted_nphotons_energy: [0.0, 92.8137, 166.929, 248.532, 333.977, 420.632, 510.112, 600.404, 690.354, 781.193, 872.363, 963.012, 1055.38, 1146.28, 1237.71, 1329.83, 1419.78, 1511.71, 1602.19, 1938.3127, 2328.4520, 2681.6922, 3003.5937, 3339.6931, 3689.7505, 4030.4352, 4391.5885, 4748.6173, 5055.7487, 5425.5916, 5778.7064, 6099.1203, 6452.9159, 6716.3930, 7428.3613, 8049.6016, 8687.7159, 9349.0971, 9937.8344, 10618.8723, 11289.2236, 11858.9647, 12491.6110, 13110.5738, ], } { type: "FIT_ENERGY_RSP", version: 1, index: "lightwater_sno", run_range: [0, 0], pass: 0, comment: "", timestamp: "", max_iterations: 10, tolerance: 0.2, // Maximum percentage difference between effective and predicted PMT hits r_max: 8000.0, // Maximum radius of valid fits energies: [0.26, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0, ], predicted_energies: [0.26, 0.75, 1, 1.25, 1.5, 1.75, 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0, 32.0, 34.0, 36.0, 38.0, 40.0, ], costhetaValues: [-0.9750, -0.9250, -0.8750, -0.8250, -0.7750, -0.7250, -0.6750, -0.6250, -0.5750, -0.5250, -0.4750, -0.4250, -0.3750, -0.3250, -0.2750, -0.2250, -0.1750, -0.1250, -0.0750, -0.0250, 0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, ], event_dir_dot_initial_light_vec: [-0.9750, -0.9250, -0.8750, -0.8250, -0.7750, -0.7250, -0.6750, -0.6250, -0.5750, -0.5250, -0.4750, -0.4250, -0.3750, -0.3250, -0.2750, -0.2250, -0.1750, -0.1250, -0.0750, -0.0250, 0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, ], radii: [0.0250, 0.0750, 0.1250, 0.1750, 0.2250, 0.2750, 0.3250, 0.3750, 0.4250, 0.4750, 0.5250, 0.5750, 0.6250, 0.6750, 0.7250, 0.7750, 0.8250, 0.8750, 0.9250, 0.9750, 1.0250, 1.0750, 1.1250, 1.1750, 1.2250, 1.2750, 1.3250, 1.3750, 1.4250, 1.4750, 1.5250, 1.5750, 1.6250, 1.6750, 1.7250, 1.7750, 1.8250, 1.8750, 1.9250, 1.9750, 2.0250, 2.0750, 2.1250, 2.1750, 2.2250, 2.2750, 2.3250, 2.3750, 2.4250, 2.4750, 2.5250, 2.5750, 2.6250, 2.6750, 2.7250, ], angularValues: [0.50, 1.50, 2.50, 3.50, 4.50, 5.50, 6.50, 7.50, 8.50, 9.50, 10.50, 11.50, 12.50, 13.50, 14.50, 15.50, 16.50, 17.50, 18.50, 19.50, 20.50, 21.50, 22.50, 23.50, 24.50, 25.50, 26.50, 27.50, 28.50, 29.50, 30.50, 31.50, 32.50, 33.50, 34.50, 35.50, 36.50, 37.50, 38.50, 39.50, 40.50, 41.50, 42.50, 43.50, 44.50, 45.50, 46.50, 47.50, 48.50, 49.50, 50.50, 51.50, 52.50, 53.50, 54.50, 55.50, 56.50, 57.50, 58.50, 59.50, 60.50, 61.50, 62.50, 63.50, 64.50, 65.50, 66.50, 67.50, 68.50, 69.50, 70.50, 71.50, 72.50, 73.50, 74.50, 75.50, 76.50, 77.50, 78.50, 79.50, 80.50, 81.50, 82.50, 83.50, 84.50, 85.50, 86.50, 87.50, 88.50, 89.50, ], nphotons_energy: [0.0, 597.1110, 1008.3758, 1425.3208, 1852.4750, 2293.5162, 2704.8697, 3095.4206, 3520.0980, 3930.0462, 4369.0727, 4776.6693, 5160.0650, 5597.9312, 5968.4174, 6419.7369, 6820.7355, 7188.2693, 7593.2111, 8032.7958, 8776.2931, 9635.2491, 10418.8447, 11163.2516, 11989.5451, 12829.8758, 13580.6361, 14395.9223, 15219.8013, 15943.5675, ], // Scale factor associated with Cerenkov angular distribution. cerenkov_angular_dist: [ // Scale factors for energy = 0.26 0.0408, 0.0451, 0.0513, 0.0561, 0.0628, 0.0666, 0.0733, 0.0800, 0.0868, 0.0939, 0.1070, 0.1190, 0.1312, 0.1383, 0.1526, 0.1699, 0.1875, 0.2053, 0.2245, 0.2504, 0.2741, 0.2956, 0.3294, 0.3656, 0.4069, 0.4454, 0.5065, 0.5676, 0.6405, 0.7311, 0.8533, 0.9885, 1.1430, 1.3686, 1.7052, 1.7853, 1.5424, 1.3786, 1.2400, 1.0899, // Scale factors for energy = 2.0 0.0408, 0.0451, 0.0513, 0.0561, 0.0628, 0.0666, 0.0733, 0.0800, 0.0868, 0.0939, 0.1070, 0.1190, 0.1312, 0.1383, 0.1526, 0.1699, 0.1875, 0.2053, 0.2245, 0.2504, 0.2741, 0.2956, 0.3294, 0.3656, 0.4069, 0.4454, 0.5065, 0.5676, 0.6405, 0.7311, 0.8533, 0.9885, 1.1430, 1.3686, 1.7052, 1.7853, 1.5424, 1.3786, 1.2400, 1.0899, // Scale factors for energy = 3.0 0.0492, 0.0546, 0.0565, 0.0630, 0.0689, 0.0717, 0.0783, 0.0831, 0.0876, 0.0967, 0.1063, 0.1148, 0.1221, 0.1364, 0.1477, 0.1592, 0.1702, 0.1900, 0.2065, 0.2272, 0.2510, 0.2786, 0.3155, 0.3426, 0.3891, 0.4350, 0.4948, 0.5585, 0.6400, 0.7477, 0.8528, 1.0000, 1.1903, 1.4584, 1.8298, 1.8253, 1.5380, 1.3424, 1.1861, 1.0341, // Scale factors for energy = 4.0 0.0420, 0.0461, 0.0483, 0.0512, 0.0571, 0.0624, 0.0673, 0.0754, 0.0779, 0.0873, 0.0944, 0.1010, 0.1127, 0.1219, 0.1336, 0.1497, 0.1631, 0.1780, 0.1969, 0.2190, 0.2405, 0.2672, 0.2942, 0.3372, 0.3813, 0.4335, 0.4844, 0.5605, 0.6397, 0.7418, 0.8633, 1.0317, 1.2476, 1.5483, 1.9289, 1.8699, 1.5704, 1.3352, 1.1428, 0.9965, // Scale factors for energy = 5.0 0.0383, 0.0412, 0.0441, 0.0480, 0.0520, 0.0560, 0.0619, 0.0664, 0.0743, 0.0792, 0.0843, 0.0933, 0.1000, 0.1121, 0.1242, 0.1378, 0.1531, 0.1699, 0.1858, 0.2084, 0.2317, 0.2589, 0.2884, 0.3251, 0.3679, 0.4254, 0.4787, 0.5490, 0.6322, 0.7355, 0.8803, 1.0609, 1.2776, 1.5907, 2.0130, 1.9123, 1.5919, 1.3515, 1.1288, 0.9699, // Scale factors for energy = 6.0 0.0412, 0.0429, 0.0470, 0.0498, 0.0534, 0.0567, 0.0600, 0.0660, 0.0689, 0.0765, 0.0853, 0.0924, 0.1038, 0.1141, 0.1215, 0.1374, 0.1490, 0.1632, 0.1817, 0.2020, 0.2273, 0.2579, 0.2864, 0.3239, 0.3673, 0.4146, 0.4762, 0.5452, 0.6277, 0.7371, 0.8774, 1.0523, 1.2842, 1.6166, 2.0538, 1.9367, 1.5850, 1.3352, 1.1223, 0.9606, // Scale factors for energy = 7.0 0.0399, 0.0422, 0.0431, 0.0473, 0.0510, 0.0551, 0.0598, 0.0641, 0.0710, 0.0775, 0.0842, 0.0935, 0.1015, 0.1128, 0.1234, 0.1356, 0.1478, 0.1646, 0.1818, 0.2025, 0.2247, 0.2515, 0.2788, 0.3131, 0.3562, 0.4032, 0.4585, 0.5265, 0.6142, 0.7168, 0.8713, 1.0565, 1.3076, 1.6647, 2.1385, 1.9913, 1.6069, 1.3230, 1.0906, 0.9070, // Scale factors for energy = 8.0 0.0329, 0.0393, 0.0433, 0.0465, 0.0495, 0.0548, 0.0587, 0.0641, 0.0698, 0.0755, 0.0835, 0.0908, 0.0973, 0.1042, 0.1161, 0.1250, 0.1383, 0.1516, 0.1670, 0.1861, 0.2066, 0.2315, 0.2620, 0.2947, 0.3319, 0.3864, 0.4503, 0.5258, 0.6172, 0.7344, 0.8834, 1.0683, 1.3303, 1.7051, 2.2173, 2.0447, 1.6318, 1.3253, 1.0820, 0.8768, // Scale factors for energy = 9.0 0.0400, 0.0421, 0.0446, 0.0463, 0.0498, 0.0533, 0.0574, 0.0629, 0.0677, 0.0730, 0.0792, 0.0860, 0.0952, 0.1025, 0.1122, 0.1224, 0.1336, 0.1491, 0.1658, 0.1865, 0.2103, 0.2353, 0.2652, 0.2990, 0.3389, 0.3845, 0.4466, 0.5128, 0.6024, 0.7188, 0.8604, 1.0634, 1.3338, 1.7284, 2.2658, 2.0759, 1.6274, 1.3178, 1.0638, 0.8800, // Scale factors for energy = 10.0 0.0339, 0.0389, 0.0416, 0.0449, 0.0473, 0.0518, 0.0561, 0.0602, 0.0648, 0.0712, 0.0766, 0.0828, 0.0885, 0.0969, 0.1058, 0.1149, 0.1254, 0.1386, 0.1503, 0.1676, 0.1884, 0.2130, 0.2420, 0.2754, 0.3153, 0.3649, 0.4253, 0.5010, 0.5933, 0.7137, 0.8736, 1.0799, 1.3770, 1.7939, 2.3552, 2.1447, 1.6809, 1.3265, 1.0467, 0.8308, // Scale factors for energy = 11.0 0.0313, 0.0318, 0.0351, 0.0387, 0.0409, 0.0437, 0.0477, 0.0520, 0.0550, 0.0589, 0.0657, 0.0715, 0.0769, 0.0850, 0.0944, 0.1045, 0.1167, 0.1294, 0.1452, 0.1639, 0.1841, 0.2076, 0.2370, 0.2702, 0.3122, 0.3598, 0.4210, 0.4935, 0.5843, 0.7024, 0.8578, 1.0740, 1.3804, 1.8547, 2.4666, 2.2293, 1.6858, 1.3190, 1.0372, 0.8348, // Scale factors for energy = 12.0 0.0311, 0.0340, 0.0374, 0.0397, 0.0423, 0.0457, 0.0491, 0.0537, 0.0589, 0.0624, 0.0679, 0.0749, 0.0817, 0.0908, 0.0989, 0.1111, 0.1200, 0.1348, 0.1479, 0.1668, 0.1867, 0.2099, 0.2362, 0.2697, 0.3090, 0.3563, 0.4145, 0.4849, 0.5792, 0.7055, 0.8631, 1.0810, 1.3811, 1.8459, 2.4723, 2.2142, 1.6900, 1.3104, 1.0316, 0.8095, // Scale factors for energy = 13.0 0.0340, 0.0381, 0.0396, 0.0403, 0.0432, 0.0452, 0.0494, 0.0526, 0.0574, 0.0623, 0.0671, 0.0722, 0.0788, 0.0860, 0.0939, 0.1025, 0.1137, 0.1259, 0.1428, 0.1578, 0.1761, 0.1992, 0.2272, 0.2579, 0.2982, 0.3468, 0.4012, 0.4686, 0.5638, 0.6849, 0.8489, 1.0731, 1.4025, 1.9049, 2.5490, 2.2950, 1.7129, 1.2966, 1.0038, 0.7864, // Scale factors for energy = 14.0 0.0266, 0.0295, 0.0311, 0.0354, 0.0381, 0.0405, 0.0435, 0.0476, 0.0513, 0.0560, 0.0627, 0.0671, 0.0745, 0.0832, 0.0915, 0.1003, 0.1112, 0.1243, 0.1405, 0.1552, 0.1736, 0.1969, 0.2207, 0.2545, 0.2935, 0.3447, 0.4037, 0.4802, 0.5722, 0.6942, 0.8638, 1.0943, 1.4184, 1.8993, 2.5522, 2.2811, 1.7234, 1.3198, 1.0177, 0.7860, // Scale factors for energy = 15.0 0.0238, 0.0260, 0.0291, 0.0326, 0.0351, 0.0385, 0.0412, 0.0455, 0.0499, 0.0538, 0.0592, 0.0653, 0.0713, 0.0792, 0.0881, 0.0980, 0.1082, 0.1206, 0.1336, 0.1504, 0.1707, 0.1928, 0.2167, 0.2482, 0.2862, 0.3353, 0.3995, 0.4791, 0.5666, 0.6892, 0.8578, 1.0741, 1.4028, 1.9362, 2.6483, 2.3435, 1.7116, 1.3012, 1.0107, 0.7799, // Scale factors for energy = 16.0 0.0375, 0.0386, 0.0392, 0.0404, 0.0424, 0.0453, 0.0493, 0.0528, 0.0560, 0.0593, 0.0642, 0.0694, 0.0751, 0.0827, 0.0916, 0.1000, 0.1097, 0.1203, 0.1341, 0.1481, 0.1671, 0.1863, 0.2108, 0.2401, 0.2767, 0.3243, 0.3815, 0.4537, 0.5481, 0.6718, 0.8381, 1.0855, 1.4350, 1.9515, 2.6638, 2.3530, 1.7453, 1.2927, 0.9745, 0.7443, // Scale factors for energy = 17.0 0.0376, 0.0382, 0.0384, 0.0404, 0.0431, 0.0467, 0.0493, 0.0521, 0.0558, 0.0608, 0.0658, 0.0724, 0.0794, 0.0864, 0.0938, 0.1022, 0.1126, 0.1234, 0.1368, 0.1533, 0.1723, 0.1928, 0.2190, 0.2503, 0.2863, 0.3312, 0.3867, 0.4571, 0.5473, 0.6637, 0.8314, 1.0675, 1.3989, 1.9455, 2.6972, 2.3689, 1.6984, 1.2781, 0.9665, 0.7522, // Scale factors for energy = 18.0 0.0285, 0.0301, 0.0314, 0.0329, 0.0360, 0.0393, 0.0421, 0.0452, 0.0495, 0.0538, 0.0585, 0.0642, 0.0691, 0.0763, 0.0835, 0.0931, 0.1029, 0.1144, 0.1251, 0.1407, 0.1573, 0.1806, 0.2084, 0.2390, 0.2757, 0.3224, 0.3833, 0.4554, 0.5472, 0.6740, 0.8348, 1.0743, 1.4325, 1.9870, 2.7634, 2.4117, 1.7446, 1.2806, 0.9702, 0.7410, // Scale factors for energy = 19.0 0.0341, 0.0358, 0.0385, 0.0397, 0.0408, 0.0447, 0.0471, 0.0504, 0.0545, 0.0588, 0.0629, 0.0686, 0.0749, 0.0807, 0.0893, 0.0967, 0.1088, 0.1186, 0.1320, 0.1453, 0.1620, 0.1841, 0.2115, 0.2377, 0.2730, 0.3192, 0.3702, 0.4439, 0.5341, 0.6532, 0.8205, 1.0646, 1.4215, 1.9910, 2.8070, 2.4250, 1.7267, 1.2652, 0.9442, 0.7231, // Scale factors for energy = 20.0 0.0266, 0.0295, 0.0323, 0.0344, 0.0383, 0.0413, 0.0450, 0.0474, 0.0526, 0.0562, 0.0605, 0.0659, 0.0708, 0.0781, 0.0843, 0.0926, 0.1020, 0.1130, 0.1247, 0.1404, 0.1594, 0.1809, 0.2039, 0.2308, 0.2646, 0.3052, 0.3614, 0.4352, 0.5333, 0.6586, 0.8265, 1.0681, 1.4253, 2.0338, 2.8499, 2.4770, 1.7336, 1.2709, 0.9458, 0.7003, // Scale factors for energy = 22.0 0.0311, 0.0355, 0.0365, 0.0375, 0.0391, 0.0414, 0.0435, 0.0465, 0.0505, 0.0542, 0.0580, 0.0630, 0.0689, 0.0753, 0.0814, 0.0896, 0.0980, 0.1090, 0.1223, 0.1355, 0.1531, 0.1712, 0.1955, 0.2258, 0.2584, 0.3037, 0.3610, 0.4319, 0.5222, 0.6493, 0.8251, 1.0636, 1.4303, 2.0363, 2.9138, 2.5012, 1.7368, 1.2705, 0.9326, 0.7009, // Scale factors for energy = 24.0 0.0287, 0.0325, 0.0339, 0.0347, 0.0360, 0.0381, 0.0404, 0.0443, 0.0473, 0.0514, 0.0556, 0.0603, 0.0653, 0.0703, 0.0766, 0.0840, 0.0910, 0.1014, 0.1143, 0.1266, 0.1419, 0.1626, 0.1850, 0.2122, 0.2437, 0.2846, 0.3366, 0.4075, 0.5040, 0.6328, 0.8087, 1.0682, 1.4585, 2.1017, 3.0373, 2.5845, 1.7751, 1.2611, 0.9050, 0.6564, // Scale factors for energy = 26.0 0.0297, 0.0341, 0.0351, 0.0368, 0.0380, 0.0405, 0.0439, 0.0461, 0.0483, 0.0528, 0.0567, 0.0612, 0.0675, 0.0732, 0.0796, 0.0877, 0.0946, 0.1051, 0.1169, 0.1305, 0.1484, 0.1667, 0.1887, 0.2191, 0.2544, 0.2956, 0.3472, 0.4136, 0.5105, 0.6354, 0.7962, 1.0372, 1.4157, 2.0897, 3.1011, 2.5919, 1.7136, 1.2229, 0.9057, 0.6678, // Scale factors for energy = 28.0 0.0249, 0.0268, 0.0279, 0.0299, 0.0325, 0.0348, 0.0376, 0.0409, 0.0450, 0.0495, 0.0539, 0.0589, 0.0649, 0.0714, 0.0770, 0.0845, 0.0931, 0.1019, 0.1131, 0.1270, 0.1419, 0.1622, 0.1862, 0.2106, 0.2437, 0.2874, 0.3408, 0.4101, 0.4983, 0.6188, 0.7966, 1.0548, 1.4465, 2.1254, 3.1215, 2.6277, 1.7516, 1.2354, 0.8859, 0.6592, // Scale factors for energy = 30.0 0.0248, 0.0249, 0.0266, 0.0281, 0.0299, 0.0321, 0.0351, 0.0376, 0.0411, 0.0447, 0.0490, 0.0532, 0.0583, 0.0643, 0.0708, 0.0785, 0.0872, 0.0963, 0.1082, 0.1219, 0.1380, 0.1572, 0.1795, 0.2058, 0.2404, 0.2822, 0.3328, 0.3964, 0.4863, 0.6160, 0.8019, 1.0592, 1.4587, 2.1462, 3.1971, 2.6624, 1.7696, 1.2362, 0.8758, 0.6456, // Scale factors for energy = 32.0 0.0201, 0.0234, 0.0256, 0.0268, 0.0287, 0.0316, 0.0349, 0.0374, 0.0405, 0.0440, 0.0477, 0.0518, 0.0575, 0.0628, 0.0696, 0.0773, 0.0857, 0.0964, 0.1083, 0.1230, 0.1381, 0.1579, 0.1815, 0.2073, 0.2410, 0.2843, 0.3366, 0.4016, 0.4894, 0.6031, 0.7655, 1.0262, 1.4443, 2.1762, 3.2647, 2.7062, 1.7603, 1.1993, 0.8693, 0.6542, // Scale factors for energy = 34.0 0.0212, 0.0244, 0.0260, 0.0282, 0.0306, 0.0320, 0.0353, 0.0379, 0.0402, 0.0436, 0.0469, 0.0511, 0.0556, 0.0608, 0.0672, 0.0732, 0.0825, 0.0915, 0.1023, 0.1148, 0.1311, 0.1500, 0.1710, 0.1969, 0.2280, 0.2690, 0.3211, 0.3882, 0.4783, 0.5991, 0.7738, 1.0447, 1.4756, 2.2032, 3.3104, 2.7369, 1.7808, 1.2077, 0.8481, 0.6208, // Scale factors for energy = 36.0 0.0218, 0.0242, 0.0257, 0.0276, 0.0304, 0.0329, 0.0353, 0.0384, 0.0415, 0.0460, 0.0499, 0.0544, 0.0592, 0.0647, 0.0716, 0.0779, 0.0858, 0.0954, 0.1057, 0.1176, 0.1324, 0.1498, 0.1703, 0.1948, 0.2267, 0.2635, 0.3128, 0.3768, 0.4634, 0.5868, 0.7625, 1.0314, 1.4604, 2.2173, 3.3825, 2.7752, 1.7719, 1.1890, 0.8275, 0.5989, // Scale factors for energy = 38.0 0.0259, 0.0289, 0.0305, 0.0323, 0.0332, 0.0356, 0.0378, 0.0406, 0.0435, 0.0476, 0.0520, 0.0561, 0.0601, 0.0652, 0.0720, 0.0784, 0.0864, 0.0959, 0.1048, 0.1183, 0.1334, 0.1511, 0.1723, 0.1968, 0.2276, 0.2664, 0.3171, 0.3820, 0.4659, 0.5897, 0.7586, 1.0146, 1.4443, 2.2119, 3.3745, 2.7689, 1.7600, 1.1796, 0.8340, 0.6062, // Scale factors for energy = 40.0 0.0193, 0.0213, 0.0234, 0.0248, 0.0274, 0.0305, 0.0326, 0.0345, 0.0377, 0.0409, 0.0451, 0.0491, 0.0538, 0.0598, 0.0660, 0.0731, 0.0814, 0.0905, 0.1004, 0.1124, 0.1261, 0.1417, 0.1624, 0.1878, 0.2183, 0.2562, 0.3066, 0.3708, 0.4598, 0.5819, 0.7546, 1.0282, 1.4703, 2.2563, 3.4615, 2.8305, 1.7740, 1.1756, 0.8221, 0.5914, ], // Probability that a Rayleigh scattered photon will be late. rayleigh_late_prob: [ // Probability for u.p' = -0.975 0.5962, 0.6326, 0.6210, 0.6324, 0.6308, 0.6372, 0.6637, 0.6377, 0.6632, 0.6379, 0.6595, 0.6654, 0.6742, 0.6719, 0.6908, 0.6675, 0.6699, 0.6767, 0.6763, 0.6882, 0.6434, 0.6065, 0.5676, 0.5682, 0.5554, 0.5110, 0.5346, 0.5051, 0.5220, 0.4652, 0.5072, 0.5307, 0.5305, 0.5365, 0.5753, 0.5296, 0.5828, 0.5948, 0.5699, 0.5993, 0.5950, 0.6050, 0.6015, 0.6257, 0.6265, 0.6217, 0.6403, 0.6349, 0.6727, 0.6475, 0.6626, 0.6581, 0.6905, 0.7130, 0.6866, // Probability for u.p' = -0.925 0.6069, 0.5810, 0.6247, 0.6363, 0.6241, 0.6047, 0.6149, 0.6396, 0.6414, 0.6520, 0.6578, 0.6314, 0.6488, 0.6750, 0.6438, 0.6538, 0.6714, 0.6713, 0.6760, 0.6711, 0.6653, 0.5885, 0.6138, 0.5637, 0.5544, 0.5177, 0.4876, 0.4903, 0.5028, 0.5040, 0.5046, 0.5100, 0.5278, 0.5539, 0.5464, 0.5289, 0.5769, 0.5684, 0.5652, 0.5870, 0.5788, 0.5904, 0.5861, 0.6046, 0.6286, 0.6377, 0.6234, 0.6470, 0.6488, 0.6303, 0.6346, 0.6456, 0.6586, 0.6765, 0.6729, // Probability for u.p' = -0.875 0.5811, 0.6034, 0.5976, 0.6236, 0.6139, 0.6498, 0.6403, 0.6481, 0.6381, 0.6435, 0.6402, 0.6467, 0.6413, 0.6901, 0.6816, 0.6376, 0.6497, 0.6534, 0.6288, 0.6747, 0.5885, 0.6272, 0.5784, 0.5523, 0.5086, 0.4840, 0.4945, 0.5139, 0.4738, 0.4641, 0.5160, 0.5251, 0.5205, 0.5014, 0.5588, 0.5527, 0.5127, 0.5885, 0.5609, 0.5899, 0.5846, 0.6085, 0.6142, 0.6221, 0.6096, 0.6251, 0.6352, 0.6465, 0.6481, 0.6607, 0.6612, 0.6713, 0.6922, 0.6750, 0.6841, // Probability for u.p' = -0.825 0.5884, 0.6073, 0.5862, 0.6163, 0.6352, 0.6286, 0.6298, 0.5974, 0.6303, 0.6155, 0.6520, 0.6378, 0.6403, 0.6448, 0.6442, 0.6551, 0.6234, 0.6464, 0.6481, 0.6030, 0.6702, 0.6191, 0.5947, 0.5242, 0.4991, 0.4964, 0.4730, 0.4501, 0.4815, 0.4889, 0.5007, 0.5101, 0.5366, 0.5186, 0.5436, 0.5121, 0.5428, 0.5987, 0.5798, 0.5770, 0.5810, 0.5835, 0.6365, 0.6058, 0.6046, 0.6150, 0.6409, 0.6174, 0.6515, 0.6582, 0.6469, 0.6639, 0.6933, 0.6631, 0.6512, // Probability for u.p' = -0.775 0.6082, 0.5922, 0.6112, 0.6287, 0.6345, 0.6125, 0.6325, 0.6235, 0.6199, 0.6243, 0.6592, 0.6216, 0.6072, 0.6383, 0.6324, 0.6451, 0.6547, 0.6211, 0.6536, 0.6380, 0.6400, 0.5699, 0.5321, 0.4809, 0.4826, 0.4493, 0.4441, 0.4696, 0.4215, 0.4595, 0.5331, 0.4946, 0.5007, 0.5099, 0.5678, 0.5153, 0.5470, 0.5466, 0.5865, 0.5687, 0.6042, 0.6096, 0.5872, 0.6251, 0.6238, 0.6291, 0.6588, 0.6241, 0.6251, 0.6739, 0.6545, 0.6578, 0.6732, 0.6780, 0.6856, // Probability for u.p' = -0.725 0.6139, 0.6222, 0.6331, 0.5988, 0.6095, 0.6182, 0.5945, 0.6335, 0.6167, 0.6333, 0.6326, 0.6545, 0.6371, 0.6572, 0.6027, 0.6257, 0.6285, 0.6449, 0.6256, 0.6310, 0.6023, 0.5516, 0.4805, 0.4581, 0.4909, 0.4621, 0.4362, 0.4646, 0.4337, 0.4739, 0.4659, 0.4835, 0.5268, 0.5041, 0.5325, 0.5816, 0.5507, 0.5917, 0.5818, 0.5637, 0.5627, 0.5695, 0.5696, 0.5954, 0.6103, 0.6509, 0.6441, 0.6290, 0.6224, 0.6459, 0.6488, 0.6919, 0.6736, 0.6793, 0.7241, // Probability for u.p' = -0.675 0.5731, 0.6030, 0.6026, 0.6176, 0.6263, 0.5978, 0.6074, 0.5902, 0.6488, 0.6337, 0.6057, 0.6044, 0.6121, 0.6421, 0.6426, 0.6104, 0.6499, 0.6312, 0.6398, 0.6115, 0.5584, 0.5175, 0.4875, 0.4483, 0.4404, 0.4053, 0.3942, 0.4413, 0.4814, 0.4178, 0.4674, 0.4768, 0.5066, 0.5123, 0.5126, 0.5161, 0.5706, 0.5700, 0.5592, 0.5616, 0.5697, 0.5895, 0.6152, 0.5887, 0.6241, 0.6210, 0.6473, 0.6563, 0.6423, 0.6765, 0.6650, 0.6904, 0.7018, 0.7082, 0.6871, // Probability for u.p' = -0.625 0.5796, 0.5720, 0.6314, 0.5980, 0.6278, 0.5932, 0.6069, 0.6350, 0.6053, 0.6062, 0.5982, 0.6131, 0.5747, 0.6224, 0.6184, 0.6125, 0.5845, 0.6151, 0.6020, 0.6065, 0.5474, 0.4780, 0.4835, 0.4442, 0.3581, 0.4073, 0.4021, 0.4040, 0.4490, 0.4314, 0.5050, 0.5390, 0.5085, 0.5090, 0.5444, 0.5474, 0.5729, 0.5609, 0.5780, 0.5719, 0.6100, 0.6351, 0.6371, 0.6327, 0.6827, 0.6670, 0.6692, 0.6677, 0.6596, 0.6665, 0.6786, 0.6678, 0.6841, 0.6495, 0.6754, // Probability for u.p' = -0.575 0.5730, 0.5927, 0.6088, 0.6245, 0.5858, 0.6050, 0.6134, 0.6256, 0.6064, 0.6370, 0.5926, 0.6029, 0.6029, 0.6032, 0.6140, 0.5892, 0.6259, 0.5840, 0.6028, 0.6157, 0.5669, 0.5258, 0.4642, 0.4336, 0.3823, 0.3942, 0.3693, 0.4301, 0.4387, 0.4614, 0.4749, 0.5205, 0.5244, 0.5478, 0.5441, 0.5718, 0.6047, 0.6137, 0.6293, 0.6310, 0.6330, 0.6379, 0.6095, 0.6078, 0.6169, 0.6339, 0.6362, 0.6347, 0.6386, 0.6305, 0.6242, 0.6307, 0.6245, 0.6205, 0.6360, // Probability for u.p' = -0.525 0.5618, 0.5753, 0.6113, 0.6119, 0.6282, 0.5977, 0.6055, 0.6092, 0.5863, 0.6214, 0.5665, 0.6186, 0.5852, 0.6320, 0.5839, 0.5653, 0.5946, 0.5781, 0.5754, 0.5712, 0.5041, 0.4721, 0.3859, 0.3928, 0.3706, 0.3834, 0.3608, 0.4346, 0.4185, 0.4920, 0.4786, 0.5199, 0.5547, 0.6003, 0.5853, 0.6160, 0.6203, 0.6013, 0.6030, 0.6124, 0.6162, 0.6143, 0.6090, 0.6084, 0.5924, 0.6044, 0.6063, 0.6049, 0.5990, 0.6014, 0.6030, 0.5889, 0.5882, 0.5877, 0.5745, // Probability for u.p' = -0.475 0.5928, 0.5849, 0.6095, 0.5647, 0.5680, 0.5659, 0.5725, 0.5858, 0.5947, 0.5966, 0.6067, 0.6047, 0.5897, 0.5997, 0.5922, 0.6039, 0.6190, 0.5997, 0.5867, 0.6305, 0.5042, 0.4334, 0.4086, 0.3162, 0.3816, 0.3750, 0.4113, 0.4303, 0.4945, 0.5281, 0.5536, 0.5693, 0.5630, 0.5717, 0.5759, 0.5717, 0.5744, 0.5619, 0.5879, 0.5588, 0.5792, 0.5832, 0.5678, 0.5719, 0.5728, 0.5850, 0.5660, 0.5476, 0.5811, 0.5183, 0.5636, 0.5469, 0.5602, 0.5411, 0.5342, // Probability for u.p' = -0.425 0.5480, 0.5687, 0.5868, 0.5969, 0.5853, 0.5828, 0.5795, 0.5598, 0.5837, 0.6006, 0.6227, 0.5579, 0.5565, 0.5641, 0.5792, 0.5540, 0.5631, 0.5691, 0.5547, 0.5784, 0.3933, 0.3548, 0.3551, 0.3333, 0.3727, 0.3737, 0.4630, 0.5011, 0.5633, 0.5532, 0.5520, 0.5419, 0.5364, 0.5365, 0.5617, 0.5460, 0.5673, 0.5448, 0.5690, 0.5388, 0.5454, 0.5431, 0.5529, 0.5465, 0.5225, 0.5332, 0.5174, 0.5147, 0.5031, 0.5138, 0.5173, 0.5036, 0.4959, 0.5018, 0.4947, // Probability for u.p' = -0.375 0.5729, 0.6101, 0.5672, 0.5980, 0.5912, 0.5966, 0.5888, 0.5892, 0.5626, 0.6034, 0.6058, 0.5844, 0.5689, 0.5831, 0.5399, 0.5704, 0.5780, 0.5527, 0.5547, 0.5487, 0.4186, 0.3511, 0.3085, 0.3353, 0.3783, 0.4765, 0.5298, 0.5345, 0.5456, 0.5512, 0.5454, 0.5256, 0.5567, 0.5492, 0.5243, 0.5091, 0.5373, 0.5200, 0.5158, 0.5088, 0.5307, 0.5025, 0.5120, 0.5030, 0.5090, 0.4871, 0.5133, 0.4939, 0.5126, 0.4960, 0.4776, 0.4542, 0.4713, 0.4619, 0.4412, // Probability for u.p' = -0.325 0.5762, 0.6035, 0.5760, 0.5508, 0.5556, 0.5648, 0.5365, 0.5903, 0.5744, 0.5774, 0.6006, 0.5415, 0.5625, 0.5877, 0.5511, 0.5386, 0.5723, 0.5745, 0.5556, 0.5311, 0.4727, 0.4075, 0.2974, 0.4049, 0.4887, 0.5349, 0.5240, 0.5292, 0.5366, 0.5139, 0.5052, 0.5227, 0.5417, 0.5185, 0.5201, 0.5353, 0.5073, 0.4981, 0.4815, 0.5036, 0.5035, 0.4825, 0.5129, 0.4724, 0.4771, 0.4502, 0.4899, 0.4348, 0.4412, 0.4213, 0.4028, 0.4246, 0.4280, 0.4263, 0.4147, // Probability for u.p' = -0.275 0.5638, 0.5773, 0.5808, 0.5495, 0.5708, 0.5699, 0.5827, 0.5444, 0.5673, 0.5860, 0.5860, 0.5722, 0.5917, 0.5760, 0.5603, 0.5138, 0.5210, 0.5086, 0.5011, 0.5322, 0.2566, 0.3776, 0.3902, 0.4934, 0.4811, 0.5003, 0.5046, 0.4942, 0.5029, 0.5130, 0.5149, 0.5170, 0.4942, 0.5066, 0.4602, 0.4958, 0.4785, 0.4725, 0.4602, 0.4710, 0.4717, 0.4528, 0.4370, 0.4458, 0.4778, 0.4405, 0.4789, 0.4522, 0.4306, 0.4736, 0.3989, 0.4092, 0.4034, 0.3821, 0.4110, // Probability for u.p' = -0.225 0.5725, 0.5887, 0.5718, 0.5951, 0.5607, 0.5594, 0.5786, 0.5629, 0.5617, 0.5783, 0.5459, 0.5891, 0.5460, 0.5443, 0.5289, 0.5375, 0.5215, 0.4867, 0.4694, 0.5144, 0.3534, 0.3620, 0.4688, 0.4798, 0.4814, 0.4874, 0.4983, 0.4760, 0.4895, 0.4918, 0.4643, 0.4765, 0.4767, 0.4694, 0.4954, 0.4608, 0.4613, 0.4563, 0.4522, 0.4426, 0.4176, 0.4360, 0.4441, 0.4231, 0.4222, 0.4510, 0.4185, 0.4469, 0.4173, 0.4228, 0.4435, 0.3926, 0.3924, 0.4065, 0.4113, // Probability for u.p' = -0.175 0.5475, 0.5675, 0.5607, 0.5100, 0.5526, 0.5605, 0.5561, 0.5314, 0.5513, 0.5601, 0.5464, 0.5590, 0.5149, 0.4814, 0.5568, 0.5425, 0.5129, 0.5035, 0.5408, 0.5000, 0.3403, 0.4186, 0.4751, 0.4711, 0.4996, 0.4739, 0.4790, 0.4805, 0.4882, 0.5113, 0.4824, 0.4635, 0.4426, 0.4565, 0.4943, 0.4959, 0.4515, 0.4412, 0.4141, 0.4169, 0.4236, 0.4152, 0.3982, 0.4056, 0.4184, 0.4317, 0.4078, 0.4709, 0.3841, 0.4224, 0.4167, 0.4515, 0.4433, 0.4406, 0.4305, // Probability for u.p' = -0.125 0.5789, 0.5641, 0.5517, 0.5654, 0.5557, 0.5417, 0.5246, 0.5340, 0.5665, 0.5276, 0.5388, 0.5415, 0.5429, 0.5286, 0.4977, 0.5566, 0.5163, 0.4877, 0.4703, 0.4798, 0.4125, 0.4558, 0.4643, 0.4659, 0.4615, 0.4352, 0.4507, 0.4677, 0.4657, 0.4445, 0.4753, 0.4294, 0.4502, 0.4633, 0.4054, 0.4420, 0.4491, 0.4482, 0.4174, 0.4203, 0.4272, 0.3840, 0.3862, 0.3953, 0.4084, 0.4572, 0.4116, 0.4314, 0.4495, 0.4564, 0.4187, 0.3607, 0.4777, 0.4074, 0.4844, // Probability for u.p' = -0.075 0.5668, 0.5481, 0.5497, 0.5452, 0.5125, 0.5825, 0.5380, 0.5164, 0.5380, 0.5227, 0.5364, 0.5213, 0.4681, 0.5272, 0.5152, 0.4775, 0.5148, 0.4640, 0.4957, 0.4662, 0.4204, 0.4317, 0.4483, 0.4422, 0.4530, 0.4297, 0.4573, 0.4255, 0.4472, 0.4534, 0.4352, 0.4156, 0.4310, 0.4150, 0.4481, 0.4451, 0.4328, 0.4393, 0.4296, 0.4024, 0.3803, 0.4257, 0.4167, 0.3887, 0.4064, 0.3701, 0.4104, 0.4404, 0.4577, 0.4582, 0.4424, 0.4322, 0.4650, 0.4223, 0.4444, // Probability for u.p' = -0.025 0.5546, 0.5523, 0.5662, 0.5647, 0.5181, 0.5305, 0.5651, 0.5210, 0.5378, 0.5482, 0.5168, 0.5235, 0.5022, 0.4702, 0.4824, 0.4959, 0.4738, 0.4934, 0.4804, 0.5093, 0.4119, 0.4452, 0.4195, 0.4262, 0.4278, 0.4288, 0.4103, 0.4201, 0.4344, 0.4422, 0.4186, 0.3977, 0.4324, 0.3826, 0.4494, 0.4409, 0.3925, 0.4119, 0.3968, 0.3926, 0.4143, 0.4121, 0.4000, 0.3996, 0.4051, 0.4524, 0.4165, 0.4006, 0.4482, 0.4247, 0.4464, 0.4839, 0.5432, 0.5069, 0.4483, // Probability for u.p' = 0.025 0.5435, 0.5578, 0.5489, 0.5213, 0.5736, 0.5675, 0.5082, 0.5190, 0.4719, 0.4978, 0.4848, 0.5601, 0.4660, 0.5039, 0.4469, 0.4792, 0.4605, 0.4509, 0.4392, 0.4643, 0.4183, 0.4258, 0.4281, 0.4477, 0.4064, 0.4156, 0.4171, 0.4269, 0.4293, 0.4075, 0.4295, 0.4201, 0.4300, 0.4249, 0.4103, 0.4174, 0.3974, 0.4066, 0.4054, 0.3945, 0.4097, 0.4243, 0.4130, 0.3905, 0.3788, 0.3908, 0.4551, 0.4302, 0.4435, 0.4536, 0.4176, 0.5310, 0.5214, 0.4776, 0.4167, // Probability for u.p' = 0.075 0.5466, 0.5556, 0.5301, 0.5364, 0.5556, 0.5426, 0.4793, 0.5604, 0.5455, 0.5196, 0.5179, 0.4942, 0.5219, 0.4532, 0.4403, 0.4678, 0.4838, 0.4620, 0.4043, 0.4234, 0.3750, 0.3908, 0.4012, 0.4206, 0.3737, 0.3808, 0.4106, 0.4000, 0.4023, 0.3993, 0.3957, 0.4099, 0.4186, 0.3870, 0.4505, 0.3815, 0.4250, 0.3793, 0.3957, 0.4130, 0.4219, 0.4178, 0.3885, 0.4127, 0.4013, 0.4070, 0.4959, 0.4286, 0.4978, 0.4415, 0.4932, 0.5841, 0.5128, 0.5600, 0.3143, // Probability for u.p' = 0.125 0.5694, 0.5189, 0.5409, 0.5572, 0.4817, 0.5703, 0.5254, 0.5084, 0.4976, 0.5649, 0.5455, 0.4746, 0.4910, 0.4420, 0.4011, 0.4595, 0.4323, 0.4808, 0.3899, 0.4016, 0.3570, 0.4045, 0.3743, 0.4038, 0.4133, 0.3798, 0.4004, 0.3832, 0.4339, 0.4082, 0.3853, 0.4017, 0.4271, 0.3716, 0.4048, 0.4115, 0.4349, 0.3963, 0.4017, 0.3812, 0.4058, 0.4106, 0.4274, 0.4253, 0.4449, 0.3790, 0.4651, 0.4570, 0.4722, 0.4238, 0.4950, 0.4625, 0.4730, 0.6316, 0.5000, // Probability for u.p' = 0.175 0.5564, 0.5464, 0.5361, 0.5520, 0.5367, 0.5422, 0.5213, 0.5046, 0.5277, 0.5177, 0.4974, 0.4701, 0.4475, 0.4726, 0.4406, 0.4057, 0.4825, 0.4382, 0.4479, 0.4118, 0.3632, 0.3922, 0.3816, 0.3901, 0.3983, 0.3975, 0.4056, 0.3901, 0.3826, 0.3986, 0.3946, 0.3945, 0.3953, 0.4208, 0.4223, 0.4135, 0.3818, 0.4009, 0.4150, 0.4602, 0.4383, 0.3737, 0.3904, 0.4286, 0.4048, 0.3834, 0.4255, 0.5086, 0.4928, 0.4622, 0.5437, 0.5405, 0.5397, 0.4848, 0.4500, // Probability for u.p' = 0.225 0.5327, 0.5237, 0.5264, 0.5476, 0.5208, 0.5182, 0.5403, 0.5227, 0.4845, 0.4970, 0.5333, 0.4885, 0.4231, 0.4829, 0.4608, 0.3889, 0.4000, 0.4068, 0.3690, 0.3388, 0.4100, 0.3908, 0.3961, 0.3728, 0.3636, 0.3790, 0.3769, 0.3862, 0.3766, 0.3869, 0.3505, 0.3872, 0.4256, 0.4058, 0.4087, 0.4440, 0.3828, 0.3843, 0.3838, 0.4075, 0.4049, 0.3705, 0.5070, 0.4524, 0.4481, 0.4573, 0.4867, 0.4966, 0.4646, 0.5306, 0.4875, 0.4426, 0.3750, 0.5926, 0.6667, // Probability for u.p' = 0.275 0.5627, 0.5182, 0.5417, 0.4747, 0.5391, 0.5072, 0.5142, 0.4791, 0.5097, 0.4838, 0.4811, 0.4800, 0.4381, 0.4119, 0.4332, 0.4050, 0.4758, 0.4274, 0.4186, 0.3869, 0.3735, 0.3718, 0.4017, 0.3675, 0.3671, 0.3686, 0.3714, 0.3847, 0.3534, 0.3850, 0.3873, 0.3815, 0.3935, 0.4493, 0.4119, 0.4004, 0.4297, 0.4101, 0.4038, 0.4286, 0.3770, 0.4281, 0.4650, 0.4646, 0.4029, 0.5536, 0.4599, 0.4965, 0.5743, 0.4318, 0.3860, 0.4828, 0.6250, 0.5185, 0.7500, // Probability for u.p' = 0.325 0.5547, 0.5241, 0.5189, 0.5339, 0.5151, 0.5372, 0.5063, 0.5231, 0.5199, 0.4591, 0.4737, 0.4574, 0.4415, 0.4783, 0.4189, 0.4373, 0.4030, 0.3485, 0.4025, 0.3874, 0.3423, 0.3820, 0.3650, 0.3654, 0.3495, 0.3584, 0.3761, 0.4021, 0.3771, 0.3473, 0.3795, 0.3877, 0.3835, 0.4155, 0.3512, 0.4275, 0.3985, 0.4192, 0.4146, 0.4201, 0.3922, 0.4389, 0.4771, 0.4157, 0.4390, 0.4340, 0.4690, 0.4182, 0.4949, 0.5600, 0.6061, 0.5556, 0.5152, 0.5484, 0.6000, // Probability for u.p' = 0.375 0.5541, 0.5518, 0.5235, 0.5294, 0.4905, 0.4801, 0.4417, 0.4784, 0.4913, 0.4259, 0.4682, 0.4863, 0.4158, 0.4317, 0.4061, 0.4612, 0.3793, 0.3934, 0.4550, 0.4485, 0.3703, 0.3736, 0.3367, 0.3636, 0.3523, 0.3888, 0.3963, 0.3937, 0.3541, 0.3889, 0.3673, 0.4113, 0.3739, 0.3855, 0.3995, 0.4051, 0.3538, 0.4152, 0.4060, 0.4572, 0.4235, 0.4700, 0.4263, 0.4301, 0.5130, 0.4324, 0.4766, 0.4623, 0.4299, 0.5301, 0.4868, 0.5000, 0.5000, 0.5455, 0.5217, // Probability for u.p' = 0.425 0.5336, 0.5385, 0.5302, 0.5215, 0.5381, 0.5022, 0.4395, 0.5014, 0.4579, 0.4819, 0.4383, 0.4049, 0.4694, 0.4217, 0.4039, 0.4231, 0.3423, 0.3732, 0.2903, 0.3834, 0.3539, 0.3778, 0.3593, 0.3821, 0.3673, 0.3781, 0.3742, 0.3856, 0.3969, 0.3618, 0.3822, 0.3766, 0.3753, 0.3910, 0.4073, 0.4005, 0.3565, 0.3864, 0.4484, 0.3983, 0.3657, 0.3952, 0.4785, 0.4331, 0.4758, 0.4174, 0.5143, 0.5057, 0.4535, 0.4857, 0.5079, 0.5536, 0.4118, 0.5000, 0.6000, // Probability for u.p' = 0.475 0.5347, 0.5281, 0.5575, 0.5444, 0.5126, 0.4861, 0.4342, 0.4950, 0.4457, 0.4530, 0.4469, 0.4014, 0.3750, 0.4322, 0.3962, 0.3853, 0.3511, 0.4058, 0.3939, 0.4246, 0.3682, 0.3631, 0.3587, 0.3867, 0.3701, 0.3932, 0.3907, 0.3552, 0.3306, 0.4231, 0.3443, 0.3913, 0.3600, 0.3535, 0.3946, 0.3832, 0.4216, 0.4528, 0.3425, 0.4495, 0.4027, 0.4494, 0.4000, 0.4451, 0.5149, 0.4957, 0.5405, 0.4321, 0.5275, 0.5849, 0.5800, 0.4571, 0.4483, 0.6061, 0.8500, // Probability for u.p' = 0.525 0.5252, 0.5314, 0.5010, 0.5011, 0.4359, 0.5088, 0.5065, 0.4399, 0.4533, 0.4027, 0.4897, 0.4589, 0.3715, 0.3420, 0.3636, 0.3292, 0.3889, 0.3010, 0.3412, 0.3500, 0.3843, 0.3177, 0.3971, 0.3328, 0.3649, 0.3514, 0.3509, 0.3843, 0.4081, 0.3724, 0.4079, 0.4020, 0.3238, 0.3545, 0.3864, 0.4464, 0.4308, 0.3712, 0.4228, 0.4928, 0.4400, 0.4458, 0.4375, 0.3910, 0.4034, 0.4352, 0.4730, 0.4507, 0.4675, 0.5246, 0.6102, 0.5854, 0.7105, 0.4800, 0.5556, // Probability for u.p' = 0.575 0.5550, 0.5406, 0.5188, 0.5024, 0.4975, 0.4965, 0.4987, 0.4639, 0.4851, 0.4498, 0.4420, 0.4533, 0.3744, 0.4268, 0.3525, 0.3014, 0.3899, 0.3316, 0.3846, 0.4258, 0.3548, 0.3601, 0.3078, 0.3370, 0.3322, 0.3514, 0.3600, 0.3654, 0.3566, 0.3673, 0.4229, 0.3885, 0.3994, 0.4230, 0.3576, 0.3953, 0.4000, 0.4521, 0.4654, 0.4121, 0.4599, 0.4531, 0.4342, 0.4962, 0.4917, 0.4700, 0.4946, 0.4085, 0.4902, 0.5122, 0.4468, 0.5385, 0.7000, 0.4828, 0.5556, 0.6667, 0.6250, // Probability for u.p' = 0.625 0.5501, 0.5120, 0.5540, 0.4741, 0.4651, 0.5242, 0.4859, 0.4615, 0.4935, 0.4247, 0.4416, 0.4250, 0.4043, 0.4435, 0.4247, 0.3952, 0.4011, 0.3708, 0.3584, 0.4036, 0.3081, 0.3428, 0.3237, 0.3398, 0.3309, 0.3432, 0.3305, 0.4068, 0.3762, 0.3735, 0.2932, 0.4059, 0.3962, 0.3750, 0.3478, 0.4444, 0.3846, 0.4354, 0.4286, 0.4261, 0.4615, 0.5287, 0.4351, 0.5133, 0.5729, 0.4904, 0.5385, 0.4744, 0.5352, 0.6957, 0.5778, 0.5484, 0.6176, 0.6923, 0.5926, // Probability for u.p' = 0.675 0.5340, 0.5580, 0.5285, 0.5057, 0.4678, 0.4441, 0.4824, 0.4486, 0.4164, 0.4441, 0.4803, 0.3955, 0.4032, 0.3623, 0.3909, 0.3768, 0.3617, 0.4000, 0.3234, 0.3289, 0.3839, 0.3484, 0.3177, 0.3535, 0.3492, 0.3738, 0.2875, 0.3660, 0.3175, 0.3389, 0.3806, 0.3710, 0.3708, 0.3903, 0.4036, 0.4533, 0.3808, 0.4093, 0.4413, 0.3774, 0.4615, 0.4521, 0.4656, 0.4219, 0.4870, 0.4000, 0.6269, 0.5667, 0.5909, 0.5342, 0.5714, 0.5682, 0.6316, 0.6538, 0.7059, // Probability for u.p' = 0.725 0.5752, 0.5150, 0.4952, 0.4484, 0.4431, 0.4569, 0.4830, 0.4339, 0.4629, 0.4308, 0.4302, 0.4139, 0.3636, 0.3408, 0.4167, 0.4138, 0.4010, 0.3436, 0.2968, 0.2897, 0.2892, 0.3095, 0.3114, 0.3498, 0.3231, 0.3458, 0.3531, 0.3639, 0.3164, 0.4140, 0.4114, 0.3883, 0.4359, 0.3494, 0.3933, 0.3946, 0.4000, 0.4000, 0.3256, 0.4688, 0.5070, 0.4453, 0.4722, 0.4907, 0.5618, 0.5392, 0.4875, 0.4583, 0.5921, 0.5946, 0.5556, 0.6000, 0.4615, 0.5500, 0.6429, // Probability for u.p' = 0.775 0.5372, 0.5500, 0.4907, 0.4694, 0.4453, 0.4638, 0.4660, 0.3987, 0.5090, 0.4358, 0.4089, 0.4025, 0.4359, 0.3704, 0.3894, 0.3111, 0.3295, 0.4242, 0.3584, 0.3082, 0.3089, 0.3200, 0.3355, 0.3597, 0.3368, 0.3636, 0.3790, 0.3480, 0.3787, 0.3910, 0.3914, 0.3718, 0.4000, 0.4085, 0.4115, 0.4189, 0.4694, 0.4444, 0.4320, 0.4810, 0.4452, 0.3913, 0.4608, 0.4598, 0.4737, 0.5195, 0.4861, 0.5424, 0.6481, 0.4808, 0.6296, 0.7188, 0.6522, 0.7727, 0.6190, // Probability for u.p' = 0.825 0.5037, 0.5377, 0.4783, 0.5212, 0.4638, 0.4916, 0.3813, 0.4286, 0.4070, 0.4545, 0.2958, 0.4143, 0.3540, 0.3558, 0.3252, 0.3737, 0.3626, 0.3937, 0.3455, 0.3597, 0.3333, 0.2802, 0.3500, 0.3024, 0.3184, 0.3913, 0.3407, 0.4062, 0.3844, 0.3435, 0.3579, 0.3724, 0.3984, 0.3493, 0.4369, 0.3926, 0.4729, 0.4752, 0.4516, 0.4060, 0.3378, 0.5085, 0.3883, 0.6238, 0.4940, 0.5769, 0.5375, 0.6667, 0.5000, 0.5577, 0.6122, 0.6452, 0.6667, 0.5455, 0.5556, // Probability for u.p' = 0.875 0.5676, 0.5389, 0.4906, 0.4610, 0.4361, 0.4871, 0.4477, 0.4592, 0.4167, 0.4173, 0.3849, 0.4226, 0.3237, 0.3805, 0.3608, 0.3741, 0.3875, 0.3141, 0.3516, 0.4000, 0.2526, 0.3426, 0.3550, 0.3111, 0.3692, 0.3342, 0.3494, 0.3675, 0.3608, 0.4246, 0.3768, 0.3740, 0.4096, 0.3923, 0.3767, 0.3949, 0.4679, 0.4509, 0.3937, 0.3802, 0.4310, 0.4488, 0.4505, 0.4368, 0.5435, 0.4795, 0.5190, 0.5556, 0.5686, 0.6000, 0.6389, 0.6458, 0.6765, 0.6667, 0.5789, // Probability for u.p' = 0.925 0.5345, 0.4871, 0.5075, 0.4578, 0.4809, 0.4748, 0.4338, 0.4368, 0.4276, 0.3992, 0.3689, 0.3966, 0.4069, 0.3836, 0.4041, 0.3892, 0.3301, 0.3517, 0.3791, 0.3071, 0.2532, 0.3184, 0.3797, 0.3007, 0.3187, 0.3539, 0.3305, 0.3649, 0.3673, 0.4086, 0.4120, 0.3611, 0.3755, 0.4515, 0.3769, 0.3979, 0.4322, 0.3951, 0.4286, 0.3858, 0.4417, 0.4604, 0.4021, 0.5676, 0.5109, 0.4947, 0.4821, 0.5424, 0.5476, 0.5897, 0.6190, 0.5854, 0.7333, 0.5789, 0.7500, // Probability for u.p' = 0.975 0.5000, 0.5234, 0.4739, 0.5124, 0.4984, 0.4708, 0.4170, 0.4500, 0.4522, 0.4091, 0.4167, 0.3697, 0.3184, 0.3824, 0.3744, 0.3488, 0.3270, 0.3436, 0.3582, 0.3784, 0.3171, 0.3099, 0.3317, 0.3367, 0.3416, 0.3782, 0.3006, 0.3994, 0.3836, 0.3366, 0.3650, 0.4538, 0.3509, 0.3440, 0.3972, 0.4088, 0.4817, 0.4777, 0.4286, 0.5128, 0.5182, 0.3036, 0.5294, 0.4177, 0.5217, 0.5676, 0.5167, 0.5323, 0.6250, 0.6078, 0.6389, 0.7250, 0.7750, 0.6410, 0.6389, ], pmt_angular_response: [1.0000, 0.9972, 0.9989, 0.9969, 1.0142, 0.9991, 1.0121, 1.0141, 1.0119, 1.0151, 1.0211, 1.0260, 1.0247, 1.0293, 1.0323, 1.0313, 1.0455, 1.0446, 1.0504, 1.0537, 1.0560, 1.0583, 1.0611, 1.0653, 1.0672, 1.0675, 1.0672, 1.0742, 1.0714, 1.0718, 1.0639, 1.0572, 1.0576, 1.0477, 1.0407, 1.0334, 1.0268, 1.0176, 1.0110, 1.0069, 0.9951, 0.9849, 0.9846, 0.9663, 0.9537, 0.9378, 0.9187, 0.9032, 0.8779, 0.8642, 0.8480, 0.8044, 0.7519, 0.7479, 0.6897, 0.6132, 0.5316, 0.5040, 0.3509, 0.3311, 0.2448, 0.1786, 0.1629, 0.1433, 0.1395, 0.1071, 0.1131, 0.0928, 0.0526, 0.0734, 0.0699, 0.0306, 0.0725, 0.0583, 0.0883, 0.0702, 0.0314, 0.0641, 0.0309, 0.0522, 0.0530, 0.0228, 0.0633, 0.0518, 0.0382, 0.0335, 0.0154, 0.0135, 0.0131, 0.0000, ], predicted_nphotons_energy: [0.0, 85.2826, 153.384, 228.366, 306.878, 386.501, 468.72, 551.686, 634.337, 717.805, 801.578, 884.872, 969.744, 1053.27, 1137.28, 1221.92, 1304.58, 1389.04, 1472.1881, 1806.3642, 2103.6065, 2432.9177, 2782.4639, 3084.3891, 3407.6531, 3719.6843, 4057.7727, 4329.8731, 4613.7799, 4960.1972, 5273.1950, 5549.3115, 5896.9491, 6172.5107, 6766.2630, 7346.9778, 7981.3783, 8484.2633, 9171.8294, 9745.6605, 10290.9961, 10964.6436, 11502.8551, 11999.9763, ], }