LALSimulation  5.4.0.1-fe68b98
LALSimIMREOBNQCTables.c
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1 #define OLDNSNQC 0
2 #define NEWNSNQC 1
3 
4 /*
5  * Copyright (C) 2010 Craig Robinson, Yi Pan, Andrea Taracchini
6  *
7  * This program is free software; you can redistribute it and/or modify
8  * it under the terms of the GNU General Public License as published by
9  * the Free Software Foundation; either version 2 of the License, or
10  * (at your option) any later version.
11  *
12  * This program is distributed in the hope that it will be useful,
13  * but WITHOUT ANY WARRANTY; without even the implied warranty of
14  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15  * GNU General Public License for more details.
16  *
17  * You should have received a copy of the GNU General Public License
18  * along with with program; see the file COPYING. If not, write to the
19  * Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
20  * MA 02110-1301 USA
21  */
22 
23 
24 /**
25  * \author Craig Robinson, Yi Pan, Andrea Taracchini
26  *
27  * \brief More recent versions of the EOB models, such as EOBNRv2 and SEOBNRv1, utilise
28  * a non-quasicircular correction (NQC) to bring the peak of the EOB frequency
29  * into agreement with that of NR simulations. This file contains the functions
30  * used to calculate these NQC corrections, described in DCC document T1100433.
31  * The fits to NR peak amplitude, frequency, and their derivatives, are taken
32  * from Pan et al. PRD 84 124052 (2011), for EOBNRv2, and
33  * from Taracchini et al. PRD 86, 024011 (2012), for SEOBNRv1.
34  */
35 
36 
37 /**
38  * Function to interpolate known amplitude NQC coeffcients of spin terms,
39  * namely a3s, a4 and a5.
40  * The a3s, a4 and a5 values were calculated for
41  * 11 mass ratios q=1,1.5,2,3,4,5,6,10,20,50 and 100, and
42  * 19 spin (\f$\chi\f$ defined in Taracchini et al. PRD 86, 024011 (2012)) values
43  * chi = -1, -0.9, -0.8, ......, 0.3, 0.4, 0.5, 0.55, 0.6, 0.65.
44  * The calculation was done by Andrea Taracchini using a C++ code of the UMaryland group.
45  * In principle, these numbers can be automatically calculated iteratively by the LAL code.
46  * However, since such calcualtion increase the cost of each waveform generation by
47  * about an order of magnitude, we prepare these numbers in advance reduce cost.
48  * These number can be verified by confirming that
49  * the peak amplitude and frequency agree well with the NR-fits predicted values,
50  * and to get exact NR-fits predicted values, corrections on these numbers are ~1%.
51  */
52 UNUSED static int XLALSimIMRGetEOBCalibratedSpinNQC( EOBNonQCCoeffs * restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a )
53 {
54  const unsigned int nsqdim = 100;
55  const unsigned int qdim = 50;
56  const unsigned int adim = 69;
57  UINT4 i;
58  /* REAL8 eta2 = eta*eta;*/
59  REAL8 a3slist[qdim], a4list[qdim], a5list[qdim];
60 
61  memset( coeffs, 0, sizeof( *coeffs ) );
62  const double nsetalist[100] = {0.0025, 0.005, 0.0075, 0.01, 0.0125, 0.015, 0.0175, 0.02, 0.0225, 0.025, 0.0275, 0.03, 0.0325, 0.035, 0.0375, 0.04, 0.0425, 0.045, 0.0475, 0.05, 0.0525, 0.055, 0.0575, 0.06, 0.0625, 0.065, 0.0675, 0.07, 0.0725, 0.075, 0.0775, 0.08, 0.0825, 0.085, 0.0875, 0.09, 0.0925, 0.095, 0.0975, 0.1, 0.1025, 0.105, 0.1075, 0.11, 0.1125, 0.115, 0.1175, 0.12, 0.1225, 0.125, 0.1275, 0.13, 0.1325, 0.135, 0.1375, 0.14, 0.1425, 0.145, 0.1475, 0.15, 0.1525, 0.155, 0.1575, 0.16, 0.1625, 0.165, 0.1675, 0.17, 0.1725, 0.175, 0.1775, 0.18, 0.1825, 0.185, 0.1875, 0.19, 0.1925, 0.195, 0.1975, 0.2, 0.2025, 0.205, 0.2075, 0.21, 0.2125, 0.215, 0.2175, 0.22, 0.2225, 0.225, 0.2275, 0.23, 0.2325, 0.235, 0.2375, 0.24, 0.2425, 0.245, 0.2475, 0.25};
63  const double etalist[50] = {0.005, 0.01, 0.015, 0.02, 0.025, 0.03, 0.035, 0.04, 0.045, 0.05, 0.055, 0.06, 0.065, 0.07, 0.075, 0.08, 0.085, 0.09, 0.095, 0.1, 0.105, 0.11, 0.115, 0.12, 0.125, 0.13, 0.135, 0.14, 0.145, 0.15, 0.155, 0.16, 0.165, 0.17, 0.175, 0.18, 0.185, 0.19, 0.195, 0.2, 0.205, 0.21, 0.215, 0.22, 0.225, 0.23, 0.235, 0.24, 0.245, 0.25};
64  const double alist[69] = {-1., -0.975, -0.95, -0.925, -0.9, -0.875, -0.85, -0.825, -0.8, -0.775, -0.75, -0.725, -0.7, -0.675, -0.65, -0.625, -0.6, -0.575, -0.55, -0.525, -0.5, -0.475, -0.45, -0.425, -0.4, -0.375, -0.35, -0.325, -0.3, -0.275, -0.25, -0.225, -0.2, -0.175, -0.15, -0.125, -0.1, -0.075, -0.05, -0.025, 0., 0.025, 0.05, 0.075, 0.1, 0.125, 0.15, 0.175, 0.2, 0.225, 0.25, 0.275, 0.3, 0.325, 0.35, 0.375, 0.4, 0.425, 0.45, 0.475, 0.5, 0.525, 0.55, 0.575, 0.6, 0.625, 0.65, 0.675, 0.7};
65 
66  const double a1list[100] = {-21.648106754277453, -20.47585498319721, -19.530321799953853, -18.760004570030972, -18.079213572570588, -17.419521042795658, -16.859312290615286, -16.28756533894047, -15.772560753656803, -15.303367029222859, -14.847798623544204, -14.404050939670224, -13.976897526988164, -13.578815297784823, -13.200763216702892, -12.841976980076495, -12.501692284239752, -12.179144825526786, -11.865421415437213, -11.561721630442458, -11.267369305715642, -10.980678895252732, -10.699964853049693, -10.42829543384451, -10.167524207712544, -9.914674799750443, -9.669372681081281, -9.43124332282813, -9.199912196114067, -8.97500477206216, -8.756146521795488, -8.542962916437121, -8.335079427110134, -8.130867290476582, -7.9313984345769715, -7.736518055359128, -7.545988962963793, -7.35957396753171, -7.177035879203623, -6.998068318971551, -6.8224288840577945, -6.649961333309703, -6.480441962265538, -6.313647066463564, -6.149352941442041, -5.9873358827392344, -5.827372185893404, -5.669238146442815, -5.512513869477759, -5.347444298469859, -5.183197664196798, -5.019955297249104, -4.857898528217308, -4.697208687691938, -4.538067106263523, -4.380655114522592, -4.225154043059675, -4.071745222465302, -3.9206099833299994, -3.771929656244297, -3.6258855717987246, -3.4826590605838113, -3.342431453190086, -3.2053840802080775, -3.0798495456033685, -2.957143501994997, -2.837141996613968, -2.7197210766912865, -2.6047567894579564, -2.4921251821449832, -2.381702301983373, -2.273364196204128, -2.1669869120382543, -2.0624464967167566, -1.9596189974706397, -1.8495581080328225, -1.7409749049276515, -1.6340876818580403, -1.5291147325269023, -1.4262743506371505, -1.3257848298916983, -1.2278644639934593, -1.1327315466453465, -1.0406043715502744, -0.9517012324111543, -0.8662404229309005, -0.7844402368124264, -0.7065189677586451, -0.6326949094724702, -0.5631863556568149, -0.4982116000145925, -0.4379889362487165, -0.3827366580621, -0.3326730591576565, -0.28801643323829923, -0.24898507400694198, -0.21579727516649713, -0.18867133041987855, -0.1678255334699995, -0.15347817801977337};
67 
68  const double a2list[100] = {178.73204288078207, 167.7345170263427, 158.85457776976878, 151.63702661020528, 145.25886103554546, 139.08071349079492, 133.85300186061994, 128.49833153024582, 123.69581397508206, 119.34304449990263, 115.1225036726121, 111.02138715464824, 107.08437843884623, 103.42908442981195, 99.96941370234742, 96.69762600347904, 93.6059810802332, 90.68673867963636, 87.86042720725196, 85.13659365364732, 82.50827361644501, 79.95961751850369, 77.47477578268207, 75.08044751075573, 72.79299640785891, 70.58542621544011, 68.45392194344085, 66.39466860180258, 64.40385120046682, 62.47765474937501, 60.61226425846867, 58.80386473768926, 57.04864119697828, 55.32723154023535, 53.65375061411054, 52.0271070701423, 50.44518833065014, 48.905881817953585, 47.407074954372156, 45.94482445612376, 44.51687981462722, 43.123270309615144, 41.76224017946817, 40.43203366256695, 39.13089499729211, 37.85706842202429, 36.60879817514412, 35.384328495032264, 34.180608559988464, 32.932965816541305, 31.701640999519693, 30.48755199799916, 29.291616701055233, 28.11475299776345, 26.95787877719934, 25.821911928438432, 24.70777034055626, 23.616371902628366, 22.54863450373026, 21.50547603293748, 20.487814379325563, 19.496567431970035, 18.53265307994643, 17.596989212330282, 16.733055464585682, 15.895477726977264, 15.083579856295431, 14.296685709330593, 13.53411914287315, 12.795204013713512, 12.079264178642092, 11.385623494449275, 10.71360581792548, 10.06253500586111, 9.431734915046569, 8.755551062926262, 8.098379005319565, 7.462063310457031, 6.848448546569211, 6.259379281886656, 5.69670008463992, 5.162255523059555, 4.657890165376111, 4.1854485798201475, 3.7467753346222055, 3.3437149980128416, 2.978112138222609, 2.651811323482059, 2.366657122021744, 2.124494102072216, 1.9271668318640272, 1.77651987962773, 1.674397813593876, 1.6226452019930173, 1.6231066130557064, 1.6776266150124943, 1.7880497760939342, 1.956220664530578, 2.1839838485529777, 2.4731838963916855};
69 
70  const double a3list[100] = {-198.6684740510964, -185.71560983427335, -175.26102024642407, -166.7798147654891, -159.28986302859136, -152.03810090459336, -145.91734205946045, -139.6355596843493, -134.01653939524905, -128.93945143613453, -124.02034829337536, -119.24645127356649, -114.67037356959001, -110.43118685036107, -106.4264567068743, -102.6466423946065, -99.08220316903453, -95.72359828563523, -92.4798228915885, -89.36096908139594, -86.35837723133453, -83.45329697039512, -80.62697792756852, -77.90968987612793, -75.32016588735331, -72.82709457524146, -70.42579806564999, -68.11159848443651, -65.87981795745866, -63.72577861057402, -61.64480256964021, -59.63221196051487, -57.683328909055604, -55.7731074201788, -53.92035933426217, -52.12397499502319, -50.38150684315194, -48.69050731933857, -47.04852886427319, -45.45070004394427, -43.89439067703587, -42.37998904664536, -40.90552002179141, -39.46900847149271, -38.068479264767944, -36.70195727063581, -35.36746735811498, -34.063034396224154, -32.78536874375959, -31.468633548362497, -30.173781283368523, -28.901550623295833, -27.652680242662605, -26.427908815987003, -25.227975017787198, -24.053617522581362, -22.905575004887663, -21.78458613922428, -20.691389600109368, -19.6267240620611, -18.59132819959765, -17.585940687237187, -16.61130019949788, -15.668145410897901, -14.794309398041404, -13.950185357101319, -13.135122694543167, -12.348470816832473, -11.589579130434757, -10.857797041815543, -10.152473957440362, -9.47295928377472, -8.818602427284151, -8.188752794434174, -7.582759791690314, -6.932160232642741, -6.304213548518645, -5.700899806714059, -5.124199074625014, -4.576091419647542, -4.0585569091776765, -3.573575610611449, -3.123127591344892, -2.709192918774041, -2.3337516602949204, -1.9987838833035663, -1.706269655196011, -1.458189043368287, -1.2565221152164259, -1.1032489381364605, -1.0003495795244224, -0.9498041067763443, -0.953592587288258, -1.0136950884561957, -1.1320916776761898, -1.31076242234427, -1.5516873898564725, -1.8568466476088277, -2.2282202629973678, -2.667788303418125};
71 
72  const double b1list[100] = {-0.5693500504085347, -0.576434151837257, -0.5827940588889807, -0.5875005969333106, -0.5915255507494274, -0.5970658827548452, -0.6057016775611604, -0.6053160995270499, -0.6070988602490128, -0.6110941958474475, -0.6140262971912503, -0.6172989788502661, -0.6206089494421659, -0.6234488672149939, -0.6258813681301192, -0.6277498501118401, -0.628897711084455, -0.6291683489722621, -0.6308371388180571, -0.6331613723912005, -0.6359581432020665, -0.6393457874435003, -0.6434426413083475, -0.6478966252652467, -0.6524003236766366, -0.6571425380351175, -0.6620695856777987, -0.6671277839417898, -0.6722634501642004, -0.6774229016821397, -0.6825524558327174, -0.6875984299530429, -0.6925071413802255, -0.6961049747777461, -0.6996298196832709, -0.7032241904115, -0.7069570372346382, -0.7108973104248908, -0.7151139602544623, -0.720064149835206, -0.7258460785616149, -0.7320745022572427, -0.7387427060855165, -0.7458439752098636, -0.7533715947937112, -0.7613188500004865, -0.7696790259936167, -0.778445407936529, -0.7876035918776259, -0.7967733093076456, -0.8063159350249182, -0.8162406283658405, -0.8265565486668099, -0.8372728552642233, -0.8483987074944775, -0.8599432646939698, -0.871915686199097, -0.884325131346256, -0.8971807594718443, -0.9104917299122585, -0.9242672020038958, -0.938516335083153, -0.9532482884864274, -0.9684722215501159, -0.9837886712042127, -0.9996512322126136, -1.0160843677317775, -1.0331125409181625, -1.0507602149282274, -1.0690518529184303, -1.08801191804523, -1.1076648734650847, -1.1280351823344532, -1.1491473078097938, -1.171025713047565, -1.1939017528688474, -1.2175927015073384, -1.2421149961497486, -1.2674850739827876, -1.2937193721931661, -1.320834327967594, -1.3488463784927816, -1.377771960955439, -1.4076275125422764, -1.4384294704400042, -1.4701942718353325, -1.5029383539149717, -1.5366781538656316, -1.5714301088740226, -1.6072106561268549, -1.6440362328108387, -1.6819232761126843, -1.7208882232191016, -1.7609475113168012, -1.802117577592493, -1.8444148592328868, -1.8878557934246936, -1.9324568173546235, -1.9782343682093864, -2.0252048831756926};
73 
74  const double b2list[100] = {1.6514745488753086, 1.6733593678301482, 1.687838328174986, 1.7031979370575185, 1.712831020475929, 1.7266279186283089, 1.7581796869631672, 1.7499867318965905, 1.7518398412177276, 1.7634468469918447, 1.770740685014047, 1.779639998248617, 1.788893228893931, 1.7964389585725973, 1.8024779675983216, 1.8063408969988246, 1.8073583878018264, 1.8048610810350476, 1.8077536017385523, 1.8130592620946404, 1.8200051503317694, 1.8290042591854243, 1.8404695813910905, 1.8531136802761718, 1.8658884601302625, 1.8795206835759333, 1.8938451458175296, 1.908696642059398, 1.923909967505884, 1.9393199173613336, 1.9547612868300928, 1.9700688711165077, 1.9850774654249244, 1.9960816492286722, 2.0069990026439246, 2.0182845185376195, 2.0301606467081585, 2.042849836953944, 2.056574539073377, 2.0726094682881886, 2.0912563552368337, 2.111506538675078, 2.1333773752936596, 2.1568862217833127, 2.1820504348347747, 2.208887371138781, 2.2374143873860683, 2.2676488402673725, 2.299578947658098, 2.3318064402049257, 2.3657435940219895, 2.4014679228653333, 2.439056940491002, 2.478588160655038, 2.520139097113486, 2.56378726362239, 2.609610173937794, 2.657685341815741, 2.708090281012276, 2.760902505283443, 2.8161995283852854, 2.874058864073847, 2.9345580261051722, 2.9977745282353045, 3.0615596376827443, 3.128412230361185, 3.1984931979224718, 3.271963432018449, 3.3489838243009618, 3.429715266421855, 3.5143186500329735, 3.602954866786163, 3.6957848083332676, 3.792969366326133, 3.894669432416603, 4.002044979667201, 4.114256382857298, 4.23142577617022, 4.353675293789295, 4.48112706989785, 4.613903238679211, 4.752125934316707, 4.895917290993665, 5.04539944289341, 5.200694524199272, 5.361924669094577, 5.529212011762653, 5.702678686386827, 5.882446827150425, 6.068638568236777, 6.261376043829206, 6.460781388111044, 6.666976735265615, 6.880084219476247, 7.100225974926268, 7.327524135799001, 7.5621008362777795, 7.804078210545929, 8.053578392786775, 8.310723517183646};
75 
76  const double a3stab[50][69] = {
77  {1298.87913, 1261.29637, 1227.72908, 1197.25947, 1168.96973, 1141.94207, 1115.2587, 1088.00181, 1059.25362, 1022.90618, 985.307903, 947.617046, 910.991876, 881.346609, 853.181173, 825.751447, 798.313312, 767.87765, 736.843339, 705.36426, 673.594293, 642.125047, 610.497581, 578.690684, 546.683144, 514.497622, 482.051486, 449.305976, 416.222332, 382.495195, 348.459044, 314.181759, 279.731222, 245.411071, 210.959123, 176.348956, 141.554145, 106.628243, 71.43286, 35.9095836, 0., -36.1519021, -72.887899, -110.347365, -148.669675, -186.733245, -226.44279, -268.442067, -313.374835, -358.91977, -409.871742, -468.06054, -535.315953, -602.768787, -687.227409, -794.8012, -931.599543, -1073.78457, -1269.39181, -1536.50955, -1893.22609, -2326.65745, -2947.80866, -3741.68954, -4974.29064, -6365.10282, -9538.63496, -15643.1414, -25826.8766},
78  {1196.32002, 1167.06104, 1137.27475, 1107.12301, 1076.76769, 1046.37066, 1016.09379, 986.098937, 956.547978, 928.8469, 901.415801, 873.918898, 846.020409, 814.568078, 783.16919, 752.614552, 723.694973, 702.877684, 683.006503, 662.601671, 640.183429, 607.718815, 572.902552, 536.876163, 500.78117, 469.351999, 438.700105, 408.529845, 378.545579, 347.703945, 316.75611, 285.705522, 254.555628, 223.39562, 192.108901, 160.664621, 129.031928, 97.2453174, 65.1824526, 32.7863434, 0., -33.0547348, -66.6852171, -101.01997, -136.187517, -170.971669, -207.383546, -246.089556, -287.756108, -330.313665, -378.258958, -433.352771, -497.35589, -562.191692, -643.393334, -746.656564, -877.67713, -1013.79966, -1200.41146, -1454.54875, -1793.24772, -2204.40576, -2792.4755, -3542.23306, -4707.36116, -6024.93464, -9029.55323, -14806.4354, -24440.7998},
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112  {72.4860498, 71.3353381, 69.967892, 68.4061262, 66.6724552, 64.7892935, 62.7790558, 60.6641567, 58.4670106, 56.2362749, 53.9576244, 51.6429764, 49.3042485, 47.0143357, 44.6997869, 42.3481283, 39.9468865, 37.3618686, 34.7510078, 32.1505183, 29.5966139, 27.2544382, 24.9797041, 22.7570538, 20.5711298, 18.3145381, 16.1007718, 13.9512876, 11.8875423, 9.96151604, 8.15193297, 6.46804054, 4.91908621, 3.45552525, 2.16891421, 1.09201745, 0.257599308, 0.200019021, 0.249808109, 0.239092969, 0., -1.36056209, -2.99516214, -4.78158666, -6.59762218, -7.83508972, -9.05212751, -10.3209083, -11.7136048, -12.7828905, -14.3282371, -16.629617, -19.9670027, -20.0985972, -23.6348501, -32.6644414, -49.2760512, -53.1554874, -77.7554513, -134.125772, -233.316278, -363.036691, -604.357163, -986.463671, -1578.03011, -2436.25295, -3624.75043, -5205.53533, -7240.62045},
113  {68.4724527, 67.2243335, 65.7618201, 64.1132768, 62.3070676, 60.3715567, 58.3351084, 56.2260867, 54.0728559, 51.9965824, 49.8957072, 47.7614734, 45.5851245, 43.3341123, 41.0329879, 38.682511, 36.2834413, 33.7488806, 31.2023098, 28.6795519, 26.21643, 23.9863352, 21.8324951, 19.7357053, 17.6767614, 15.5281868, 13.4223587, 11.3833816, 9.43536035, 7.63226104, 5.95638238, 4.41988452, 3.0349276, 1.76952966, 0.697649771, -0.150895095, -0.746287965, -0.607577646, -0.336535071, -0.0837969507, 0., -0.872536286, -1.96058503, -3.16008079, -4.36695815, -5.01900493, -5.65356114, -6.34982007, -7.18697498, -7.77160669, -8.84456592, -10.6740909, -13.5284199, -13.0704323, -16.0158687, -24.475111, -40.558541, -44.7542269, -69.4437895, -125.386536, -223.341773, -352.596143, -588.326948, -957.830483, -1525.32388, -2354.28602, -3474.22797, -4923.15275, -6739.06338},
114  {68.2547617, 64.4030038, 61.0624053, 58.1628557, 55.6342446, 53.4064616, 51.4093962, 49.572938, 47.8269765, 45.957039, 44.0951222, 42.2288605, 40.3458883, 38.4667234, 36.5329635, 34.5190896, 32.3995828, 29.9385344, 27.4049711, 24.8575296, 22.354847, 20.1021213, 17.9528037, 15.9069066, 13.9644425, 12.1438868, 10.4194037, 8.78362046, 7.22916423, 5.71567078, 4.28195543, 2.93384198, 1.67715426, 0.346381608, -0.812783878, -1.72598459, -2.3188629, -1.86839962, -1.20836336, -0.523861146, 0., -0.627400983, -1.46345147, -2.37105288, -3.21310661, -3.25085515, -3.18952241, -3.13267337, -3.18387301, -2.80547233, -2.9987359, -4.1237143, -6.54045811, -6.83371701, -10.6489628, -19.8563666, -36.3260991, -39.4859101, -62.6253602, -116.591589, -212.231736, -342.977808, -571.922343, -920.991834, -1451.388, -2230.85247, -3261.692, -4562.57208, -6152.15819},
115  {68.4539243, 61.4483189, 55.8628302, 51.4992593, 48.1594069, 45.6450741, 43.7580616, 42.3001706, 41.0732018, 39.3851077, 37.7290771, 36.1044501, 34.5105672, 33.1173068, 31.6852556, 30.1455386, 28.4292807, 26.0790926, 23.5700193, 20.9885914, 18.4213396, 16.0987041, 13.9057423, 11.871421, 10.0247072, 8.59280239, 7.32714494, 6.17740787, 5.09326418, 3.90357687, 2.727153, 1.56198962, 0.406083746, -1.08429602, -2.43273282, -3.50453824, -4.16502385, -3.33725149, -2.20568241, -1.01252808, 0., -0.497549335, -1.22525202, -1.99042368, -2.60037993, -2.04190726, -1.27106206, -0.423371592, 0.365636893, 1.81885925, 2.59897586, 2.22709019, 0.224305732, -1.26648705, -6.39468643, -16.6879037, -33.6737502, -35.6379855, -56.6468132, -107.524585, -199.095654, -329.609444, -547.615087, -868.664624, -1349.75899, -2057.6127, -2978.63703, -4119.31905, -5486.14585},
116  {65.4719479, 57.4208681, 51.1223649, 46.3288876, 42.792886, 40.2668095, 38.5031077, 37.2542302, 36.2726266, 34.6627386, 33.0842266, 31.5487434, 30.0679416, 28.9024083, 27.7152878, 26.4186592, 24.9246012, 22.6910859, 20.2659417, 17.7428902, 15.2156527, 12.9020086, 10.7219986, 8.71972156, 6.93927587, 5.70709501, 4.6720087, 3.76518156, 2.9177782, 1.89110459, 0.854127432, -0.194045212, -1.25430528, -2.72905117, -4.05706578, -5.07863845, -5.63405853, -4.49776766, -3.002242, -1.41410996, 0., -0.232086191, -0.689233061, -1.15585079, -1.41634954, -0.326326355, 1.02947019, 2.49510466, 3.91464163, 6.02483426, 7.41998307, 7.58707717, 6.01310568, 4.25526237, -1.09775015, -11.3870246, -27.9536538, -30.037432, -49.9212697, -97.7867791, -183.815572, -309.038656, -511.089458, -801.715921, -1230.32357, -1857.50504, -2661.44699, -3640.93761, -4794.76507},
117  {60.4371914, 52.8944439, 47.0061111, 42.5344545, 39.2417357, 36.8902165, 35.2421584, 34.0598231, 33.1054723, 31.4888045, 29.8856696, 28.3193545, 26.8131459, 25.6686144, 24.5194497, 23.2776252, 21.8551143, 19.7300162, 17.4217281, 15.0157733, 12.5976748, 10.34573, 8.215578, 6.25563199, 4.51430532, 3.33212144, 2.34853948, 1.49512871, 0.703458391, -0.282898639, -1.26917813, -2.24861224, -3.21443316, -4.5363881, -5.68058815, -6.48965946, -6.80622818, -5.41661253, -3.64226975, -1.74834914, 0., 0.144274795, 0.0900209157, 0.0494304766, 0.23469559, 1.80159795, 3.64130425, 5.58857079, 7.47815384, 9.93910759, 11.6941713, 12.260382, 11.1547768, 9.8495151, 5.12446293, -4.2853914, -19.6450596, -22.6973878, -42.0384195, -86.7420329, -165.882106, -281.689148, -463.767142, -721.985092, -1095.87966, -1636.34431, -2319.17767, -3138.9521, -4090.23996},
118  {54.4780137, 48.4428385, 43.6791707, 39.9986734, 37.21301, 35.1338437, 33.5728378, 32.3416556, 31.2519604, 29.5621783, 27.8585046, 26.1738973, 24.5413145, 23.2625116, 21.9941304, 20.6616102, 19.1903901, 17.1513851, 14.9663681, 12.7025882, 10.427294, 8.26356395, 6.20048559, 4.282976, 2.55595225, 1.31323844, 0.251281779, -0.684563488, -1.54894311, -2.57958539, -3.57482051, -4.51606121, -5.38472022, -6.45481104, -7.29810532, -7.77897552, -7.76179404, -6.16045051, -4.16999329, -2.03498794, 0., 0.606819966, 1.05792541, 1.54218478, 2.24846652, 4.24757601, 6.49367, 8.82284217, 11.0711862, 13.6883341, 15.6514259, 16.5511399, 15.9781543, 15.634255, 12.1545697, 4.28533388, -9.22721724, -13.6309911, -32.5879525, -73.754209, -144.785868, -247.984626, -407.069825, -631.311504, -949.22515, -1399.94534, -1960.88484, -2624.88686, -3384.79461},
119  {48.7227738, 44.6398442, 41.3066454, 38.604258, 36.4137625, 34.6162396, 33.0927698, 31.7244338, 30.3923122, 28.5817329, 26.7278303, 24.8699861, 23.0475818, 21.5306864, 20.0357196, 18.509788, 16.8999986, 14.9106943, 12.8288514, 10.6986821, 8.56439891, 6.48920575, 4.49072666, 2.60557732, 0.870373416, -0.504197236, -1.72521994, -2.82570787, -3.83867419, -4.96010825, -5.99485657, -6.91074186, -7.67558681, -8.43282424, -8.90442271, -8.98796086, -8.58101735, -6.79594598, -4.62964023, -2.2937687, 0., 1.13083567, 2.15989592, 3.23917679, 4.5206743, 6.91731822, 9.51579733, 12.1637342, 14.7087513, 17.3991688, 19.5216327, 20.7634863, 20.8120732, 21.7274658, 19.8751872, 13.9934892, 2.82062372, -2.85138016, -21.1595584, -58.1871699, -120.017474, -208.348795, -342.419193, -531.534524, -793.157935, -1154.12298, -1595.62429, -2110.26622, -2690.65314},
120  {44.2998304, 42.0592533, 40.0536373, 38.233922, 36.5510472, 34.9559528, 33.3995785, 31.832864, 30.2067492, 28.2463412, 26.2187454, 24.1652348, 22.1270823, 20.3197254, 18.5406064, 16.7613322, 14.9535099, 12.9634457, 10.9381676, 8.89940251, 6.86887778, 4.85635082, 2.90030642, 1.02725964, -0.73627446, -2.27482884, -3.6864212, -4.98011725, -6.16498272, -7.38561978, -8.46134313, -9.34700391, -9.99745327, -10.418932, -10.4943457, -10.1579897, -9.34415937, -7.38976337, -5.06543819, -2.54443376, 0., 1.69160825, 3.34134796, 5.05717119, 6.94702998, 9.71653493, 12.6369161, 15.5770622, 18.4058619, 21.1982666, 23.5346769, 25.2015565, 25.9853686, 28.2471315, 28.1689322, 24.5074123, 16.0192136, 9.6283068, -7.34292715, -39.4047781, -91.0675361, -163.20536, -271.236932, -424.493521, -630.475917, -904.692043, -1232.45178, -1606.61452, -2020.03966},
121  {31.3611692, 33.4138344, 34.6123875, 35.0543707, 34.837326, 34.0587958, 32.8163219, 31.2074467, 29.3297123, 27.404283, 25.3556298, 23.2318459, 21.0810247, 19.0533799, 17.0540359, 15.0902378, 13.1692306, 11.3600238, 9.58339213, 7.82187479, 6.05801097, 4.17746025, 2.29839333, 0.442101287, -1.37012481, -3.08825048, -4.73122545, -6.289256, -7.75254846, -9.29802506, -10.6544898, -11.7374626, -12.4624633, -12.5589911, -12.202995, -11.3844033, -10.0931443, -7.98083331, -5.51103668, -2.80900778, 0., 2.33855583, 4.71445469, 7.18331415, 9.80075179, 13.1193625, 16.4989955, 19.7964776, 22.8686353, 25.1976694, 27.1648828, 28.7769525, 30.0405554, 34.3745852, 37.0086155, 36.5844368, 31.7438393, 24.3660043, 8.56037482, -18.326215, -58.9469312, -111.659095, -192.003407, -312.956989, -466.821193, -649.230038, -863.162643, -1109.76185, -1390.17051},
122  {37.107078, 37.9494898, 38.1475584, 37.7748672, 36.9049999, 35.61154, 33.9680713, 32.0481773, 29.9254415, 27.7748251, 25.5279832, 23.2179484, 20.8777534, 18.5825868, 16.3064628, 14.0655515, 11.8760232, 9.83055734, 7.83821112, 5.88455095, 3.9551433, 1.96138975, -0.00731245436, -1.93573091, -3.80863323, -5.6288923, -7.35592834, -8.96726683, -10.4404333, -11.8918334, -13.1045604, -14.0005876, -14.5018883, -14.3327386, -13.6918882, -12.5803894, -10.9992944, -8.70169555, -6.03578926, -3.10181195, 0., 2.87088123, 5.82853593, 8.89213931, 12.0808666, 15.681342, 19.3383122, 22.9639726, 26.4705188, 29.5587418, 32.4368037, 35.1014621, 37.5494744, 42.4526156, 46.0626187, 47.3062344, 45.1102132, 39.9921181, 28.651562, 9.37897069, -19.5352305, -57.2665312, -113.12676, -196.55736, -298.235907, -413.117734, -537.811019, -668.510728, -801.411827},
123  {54.2496337, 50.3266662, 46.8385324, 43.7179324, 40.8975662, 38.3101336, 35.8883348, 33.5648695, 31.2724379, 28.7494751, 26.2006517, 23.6363737, 21.0670471, 18.525831, 15.9912767, 13.4646886, 10.9473713, 8.38916945, 5.86343143, 3.39204573, 0.99690084, -1.26416265, -3.41958917, -5.46187108, -7.3835007, -9.22601578, -10.9132451, -12.4180629, -13.7133433, -14.8183369, -15.6409909, -16.1356292, -16.2565754, -15.8913591, -15.0878157, -13.8269866, -12.089913, -9.575889, -6.66040207, -3.43719234, 0., 3.32808289, 6.77440878, 10.3369783, 14.0137919, 17.7915291, 21.6840401, 25.6938539, 29.8234995, 34.4683192, 39.0809036, 43.5066565, 47.5909816, 52.0892308, 55.5728806, 57.5233557, 57.4220807, 57.0603078, 52.6857029, 42.8557596, 26.1279713, 0.306807571, -33.7911656, -77.5102898, -128.97305, -194.828091, -250.841278, -280.499173, -267.288336},
124  {45.9632263, 43.5948047, 41.2944117, 39.0497927, 36.8486933, 34.6788586, 32.5280343, 30.3839656, 28.2343979, 26.0514214, 23.8446989, 21.6082379, 19.3360459, 16.9792869, 14.5919492, 12.1851779, 9.7701179, 7.3618403, 4.9659933, 2.59215129, 0.249888704, -2.11170034, -4.39836902, -6.57635081, -8.61187918, -10.3777734, -11.9710468, -13.3952985, -14.6541278, -15.978402, -17.0535448, -17.792248, -18.1072036, -17.711688, -16.7975747, -15.3573219, -13.3833878, -10.6397615, -7.43875759, -3.86422188, 0., 3.91966746, 8.02148764, 12.2817728, 16.6768352, 21.1786397, 25.7695849, 30.427722, 35.1311022, 39.788373, 44.4747508, 49.1960481, 53.9580778, 59.5390344, 64.8633958, 69.6280218, 73.5297724, 77.145323, 78.9397916, 78.2581119, 74.4452177, 65.9571768, 54.8055203, 38.1237308, 26.1576508, 25.2296282, 44.2436292, 91.4582154, 175.131949},
125  {51.3870855, 48.6794894, 46.1831565, 43.8403542, 41.59335, 39.3844114, 37.155806, 34.8498012, 32.4086645, 29.4555478, 26.3794804, 23.2503763, 20.1381492, 17.3421612, 14.6110986, 11.9230958, 9.25628726, 6.47079096, 3.70996456, 0.999149184, -1.63631406, -4.15046897, -6.54683554, -8.80831871, -10.9178234, -12.8574803, -14.6112782, -16.1624317, -17.4941555, -18.7345028, -19.6639141, -20.2076685, -20.2910453, -19.6603376, -18.491405, -16.7811208, -14.5263586, -11.5733769, -8.12991022, -4.25307808, 0., 4.55743405, 9.3827832, 14.4248361, 19.6323815, 24.7770149, 30.0555953, 35.4877886, 41.0932604, 46.9053614, 52.9245989, 59.1651649, 65.6412515, 72.5154609, 79.5942109, 86.8323292, 94.184644, 100.942288, 107.989262, 115.545873, 123.832425, 131.321797, 143.476579, 160.747982, 191.051251, 237.852606, 314.950336, 433.559716, 604.896017},
126  {52.5791609, 52.189412, 50.9809292, 49.0755733, 46.5952055, 43.6616866, 40.3968776, 36.9226396, 33.3608334, 30.1281937, 26.9337584, 23.7814391, 20.6751474, 17.664573, 14.689538, 11.7356427, 8.78848729, 5.69032192, 2.6274371, -0.357226835, -3.22072955, -5.77288536, -8.1768974, -10.4487235, -12.6043213, -14.8262476, -16.8972218, -18.766562, -20.3835865, -21.7939441, -22.8120902, -23.348811, -23.3148923, -22.3006067, -20.6654593, -18.4484415, -15.6885449, -12.4879459, -8.79717705, -4.62995592, 0., 5.28008011, 10.9150172, 16.810651, 22.8728212, 28.6611796, 34.566229, 40.6322844, 46.9036604, 53.1753873, 59.8407787, 67.0438633, 74.92867, 83.7004277, 93.417485, 104.199391, 116.165694, 127.53876, 141.094195, 157.710418, 178.265852, 202.213911, 234.708038, 276.259409, 335.688216, 421.713219, 535.1499, 678.789558, 855.423494}
127  };
128 
129  const double a4tab[50][69] = {
130  {-4795.25483, -4657.11547, -4533.57386, -4420.99082, -4315.72713, -4214.14359, -4112.601, -4007.46016, -3895.08186, -3749.86323, -3598.9142, -3447.38103, -3300.40998, -3183.58631, -3073.44169, -2966.94678, -2861.07226, -2743.59299, -2624.35375, -2504.00351, -2383.19127, -2264.35938, -2145.64608, -2026.98299, -1908.30176, -1789.65691, -1670.80798, -1551.63744, -1432.02772, -1310.85768, -1189.41483, -1067.98309, -946.846341, -827.165104, -707.996037, -589.272406, -470.927472, -353.153181, -235.520643, -117.859652, 0., 117.602012, 235.993705, 355.595891, 476.829381, 595.994952, 719.281464, 848.757742, 986.492612, 1125.29678, 1280.20043, 1456.97565, 1661.39451, 1865.75367, 2122.69078, 2451.36808, 2870.9478, 3306.89371, 3909.54591, 4735.54605, 5841.53576, 7186.8075, 9120.05042, 11591.8611, 15444.2924, 19758.4141, 29767.7712, 49167.7902, 81653.8973},
131  {-4386.2486, -4276.4998, -4166.87176, -4057.27842, -3947.63375, -3837.85169, -3727.8462, -3617.53124, -3506.82077, -3396.24985, -3284.86287, -3172.32536, -3058.30283, -2934.12142, -2811.12175, -2692.30507, -2580.67265, -2501.29049, -2426.26919, -2349.78411, -2266.0106, -2143.26267, -2011.92156, -1876.50719, -1741.53944, -1625.69861, -1513.68005, -1404.33951, -1296.53273, -1186.17111, -1076.23248, -966.750311, -857.758075, -749.581249, -641.844515, -534.46455, -427.358033, -320.645434, -213.958122, -107.131257, 0., 107.056887, 214.965285, 324.107473, 434.865731, 543.216635, 655.710448, 774.491733, 901.705051, 1031.01986, 1176.44587, 1343.51767, 1537.76987, 1733.97589, 1980.73599, 2295.88922, 2697.27467, 3113.77504, 3687.76832, 4472.67611, 5521.92004, 6796.91537, 8627.10278, 10961.4315, 14608.3709, 18698.1916, 28214.4395, 46677.342, 77607.1262},
132  {-4089.70007, -3999.83272, -3900.40845, -3793.52861, -3681.29454, -3565.8076, -3449.16915, -3333.48054, -3220.84311, -3124.77905, -3031.40055, -2938.24064, -2842.83236, -2728.08787, -2612.00939, -2497.97828, -2389.37592, -2309.8317, -2234.37973, -2158.30216, -2076.88115, -1964.99854, -1846.4969, -1724.8185, -1603.40559, -1496.11382, -1391.80673, -1289.76124, -1189.25426, -1088.05749, -987.55515, -887.626246, -788.149784, -688.774549, -589.701849, -490.902776, -392.348421, -294.336138, -196.38025, -98.321342, 0., 97.9874303, 196.858427, 297.074709, 399.097994, 499.259521, 603.803679, 714.844378, 834.49553, 956.8933, 1095.32044, 1255.08195, 1441.48285, 1629.7946, 1867.36916, 2171.52496, 2559.58043, 2963.77126, 3520.53168, 4281.21321, 5297.16736, 6532.52802, 8300.29955, 10550.9045, 14057.1258, 18028.6165, 27105.1878, 44569.1112, 73702.6582},
133  {-3869.29607, -3792.59815, -3700.71666, -3596.83571, -3484.13943, -3365.81194, -3245.03736, -3124.99981, -3008.88343, -2913.32449, -2822.67409, -2734.73548, -2647.31191, -2552.51261, -2456.11249, -2358.19241, -2258.83326, -2155.5432, -2052.00489, -1949.32827, -1848.62329, -1756.61105, -1666.5459, -1577.29332, -1487.71881, -1392.40141, -1296.20764, -1199.71758, -1103.51131, -1010.11081, -917.377477, -825.114634, -733.125587, -640.567837, -548.148831, -455.930204, -363.973591, -272.876208, -181.949879, -91.0420086, 0., 90.1866618, 181.269486, 273.857901, 368.561335, 462.482307, 561.139919, 666.546362, 780.71383, 897.948208, 1031.05052, 1185.11547, 1365.23778, 1545.93007, 1775.10198, 2070.08108, 2448.19491, 2844.61617, 3391.68922, 4139.60356, 5138.54867, 6355.55344, 8090.28923, 10297.6099, 13712.8828, 17642.831, 26328.2418, 42776.3866, 69994.5366},
134  {-3688.72344, -3620.28003, -3534.3291, -3434.29407, -3323.59833, -3205.66528, -3083.91832, -2961.78084, -2842.67626, -2739.75984, -2642.83036, -2551.41848, -2465.05485, -2394.42261, -2323.43893, -2247.17347, -2160.69588, -2024.75159, -1882.46418, -1742.633, -1614.05739, -1545.14423, -1489.24234, -1439.30806, -1388.29774, -1306.06025, -1217.90239, -1126.02348, -1032.62284, -945.925062, -859.694111, -773.719216, -687.789602, -600.783951, -513.766253, -426.889953, -340.308496, -254.916558, -169.829861, -84.9053578, 0., 83.447602, 167.794816, 253.817352, 342.290922, 431.243692, 525.297932, 626.328371, 736.209734, 849.215705, 977.862472, 1127.06518, 1301.73898, 1475.10257, 1696.44611, 1983.36334, 2353.44796, 2744.04363, 3285.09418, 4026.29337, 5017.33496, 6227.8996, 7947.72035, 10138.8771, 13497.9681, 17433.977, 25771.8272, 41232.4571, 66536.8049},
135  {-3511.669, -3448.36228, -3367.77851, -3272.99804, -3167.10117, -3053.16822, -2934.27953, -2813.5154, -2693.95617, -2581.95877, -2476.01625, -2377.89827, -2289.37451, -2240.84482, -2193.9966, -2139.14746, -2066.61499, -1903.78345, -1729.07712, -1557.98694, -1406.00384, -1357.64213, -1331.76003, -1316.23912, -1298.96098, -1228.58923, -1147.91061, -1060.49389, -969.90785, -889.094259, -808.499694, -727.943732, -647.245948, -565.245724, -483.134905, -401.125143, -319.42809, -239.108105, -159.183049, -79.523491, 0., 77.5632713, 156.030772, 236.313367, 319.321921, 403.902372, 493.856483, 590.921089, 696.833024, 805.726906, 929.982676, 1074.37806, 1243.69077, 1410.03238, 1623.91323, 1903.17752, 2265.66943, 2649.78746, 3184.59978, 3919.72886, 4904.79718, 6111.47446, 7823.24142, 10012.0358, 13334.7074, 17295.1967, 25324.1697, 39870.6114, 63383.5064},
136  {-3301.81958, -3242.32883, -3167.59761, -3080.04195, -2982.07786, -2876.12137, -2764.5885, -2649.89526, -2534.45768, -2417.79493, -2306.37861, -2203.78347, -2113.58426, -2078.80618, -2047.79337, -2008.34038, -1948.2418, -1778.96537, -1595.16323, -1415.16067, -1257.28299, -1221.1488, -1211.27277, -1213.4629, -1213.52717, -1151.48722, -1077.25191, -994.943767, -908.685307, -833.212394, -757.788871, -682.291925, -606.598741, -529.775993, -452.835581, -375.978895, -299.407326, -224.101762, -149.172293, -74.5085093, 0., 72.3266902, 145.573709, 220.706247, 298.689499, 378.817046, 464.394334, 557.055201, 658.433482, 762.51293, 881.637499, 1020.50106, 1183.79748, 1343.43977, 1550.015, 1821.32939, 2175.18916, 2549.58149, 3074.05924, 3798.35623, 4772.2063, 5968.186, 7667.50096, 9854.41554, 13145.4268, 17119.632, 24873.4951, 38624.1385, 60588.6845},
137  {-3022.862, -2967.66361, -2900.31911, -2822.52015, -2735.95834, -2642.32532, -2543.31273, -2440.61219, -2335.91534, -2225.14199, -2118.06432, -2018.68268, -1930.99743, -1895.33367, -1864.83711, -1828.97824, -1777.2275, -1636.62394, -1484.04202, -1333.92478, -1200.71524, -1162.70827, -1144.95436, -1136.35581, -1125.81492, -1066.2531, -996.945919, -921.188061, -842.274195, -771.873467, -701.556286, -631.267537, -560.952101, -490.197592, -419.449071, -348.794329, -278.321158, -208.548445, -138.960447, -69.472514, 0., 67.5308789, 136.01998, 206.356297, 279.428824, 354.34641, 434.49025, 521.461393, 616.860889, 714.604893, 827.05331, 958.88115, 1114.76342, 1268.04501, 1467.2631, 1729.62474, 2072.337, 2431.15956, 2937.32579, 3640.6217, 4590.83328, 5759.94219, 7431.14749, 9603.34594, 12852.4522, 16800.4251, 24308.029, 37426.3271, 58206.3824},
138  {-2638.48309, -2589.85055, -2532.47575, -2467.52697, -2396.17251, -2319.58066, -2238.91972, -2155.35797, -2070.06371, -1981.87362, -1895.22025, -1812.20453, -1734.92739, -1677.45422, -1625.13573, -1575.28704, -1525.22331, -1463.08574, -1399.03301, -1334.04983, -1269.12095, -1209.3646, -1149.97859, -1090.29423, -1029.64285, -964.385738, -898.012251, -831.041724, -763.993491, -698.671476, -633.796583, -569.374308, -505.410146, -442.333357, -379.556167, -316.914565, -254.24454, -191.09907, -127.710361, -64.0276063, 0., 62.9688578, 126.965942, 192.62382, 260.575062, 328.849163, 401.722993, 480.870349, 567.965028, 657.033913, 760.456481, 882.965295, 1029.29292, 1176.56839, 1368.1692, 1619.86934, 1947.44278, 2282.2555, 2758.25267, 3424.97148, 4331.9491, 5448.65099, 7064.82952, 9196.15657, 12378.1095, 16230.7179, 23515.9972, 36210.4661, 56290.6436},
139  {-2405.71268, -2357.37371, -2305.09333, -2248.92728, -2188.93131, -2125.16116, -2057.67258, -1986.52131, -1911.7631, -1825.78366, -1739.37678, -1655.66624, -1577.77578, -1521.53728, -1472.28315, -1428.05392, -1386.8901, -1345.84384, -1304.33938, -1260.8126, -1213.69937, -1153.95915, -1090.49479, -1024.73273, -958.099404, -895.75918, -833.905408, -772.469359, -711.382305, -650.167044, -589.326712, -528.955972, -469.149485, -410.875751, -353.00606, -295.28554, -237.459321, -178.716175, -119.580127, -60.018845, 0., 59.1806414, 119.414746, 181.265883, 245.297621, 309.449323, 377.958449, 452.438249, 534.501976, 618.058134, 715.506621, 831.542589, 970.861189, 1111.62937, 1295.68177, 1538.3248, 1854.86492, 2173.99376, 2632.27845, 3279.67134, 4166.12475, 5260.24742, 6856.02255, 8984.53783, 12142.789, 15991.1783, 23070.5741, 35201.7283, 54205.3928},
140  {-2204.0302, -2154.47867, -2105.90828, -2057.23597, -2007.37868, -1955.25335, -1899.77692, -1839.86634, -1774.43854, -1688.83889, -1600.98454, -1515.22105, -1435.89401, -1383.22182, -1339.32807, -1302.20921, -1269.86166, -1242.18385, -1214.50944, -1184.07407, -1148.11338, -1090.76646, -1027.60414, -961.10068, -893.730354, -835.115058, -777.722379, -721.167533, -665.065735, -607.620119, -550.422817, -493.653877, -437.493349, -383.360258, -329.700085, -276.19729, -222.536329, -167.664731, -112.298656, -56.4173358, 0., 55.7448171, 112.55891, 170.95477, 231.444888, 291.989405, 356.674102, 427.03241, 504.59776, 583.170483, 675.11035, 785.044031, 917.598198, 1051.62411, 1227.83402, 1461.16475, 1766.55314, 2070.16998, 2511.22455, 3140.16011, 4007.4199, 5080.84751, 6658.68514, 8786.8724, 11925.8417, 15777.5862, 22663.3632, 34249.6139, 52202.7796},
141  {-2019.11349, -1967.86498, -1922.03119, -1879.54631, -1838.34453, -1796.36004, -1751.52704, -1701.77973, -1645.05228, -1560.9017, -1472.99026, -1386.60303, -1307.02508, -1257.73185, -1218.54189, -1187.46414, -1162.50754, -1146.0165, -1129.93027, -1110.52355, -1084.07109, -1029.27314, -967.008674, -900.58221, -833.298258, -778.328451, -725.163331, -673.160561, -621.677803, -567.845774, -514.139863, -460.808512, -408.100162, -357.77398, -307.963395, -258.312561, -208.46563, -157.218748, -105.403279, -53.0025778, 0., 52.510405, 106.100252, 161.230464, 218.361962, 275.485215, 336.519778, 402.914754, 476.119245, 549.893005, 636.450223, 740.315742, 866.014403, 993.013679, 1160.91873, 1384.27734, 1677.6373, 1964.76951, 2387.3094, 2996.11552, 3842.0464, 4892.15254, 6448.71667, 8571.55319, 11686.9318, 15534.6254, 22233.9388, 33309.2935, 50285.1113},
142  {-1852.906, -1799.92433, -1755.7931, -1717.7438, -1683.00798, -1648.81714, -1612.4028, -1570.99649, -1521.82971, -1440.70191, -1354.84952, -1270.0769, -1192.18842, -1146.35433, -1111.26673, -1084.98361, -1065.56296, -1056.86211, -1048.81999, -1037.17485, -1017.66497, -965.979445, -905.925352, -841.260613, -775.743151, -724.511292, -675.390392, -627.586209, -580.304504, -530.041543, -479.796376, -429.858557, -380.517643, -333.704815, -287.411353, -241.270163, -194.914152, -147.113112, -98.7083065, -49.6778856, 0., 49.3678455, 99.8185964, 151.765844, 205.623179, 259.438588, 316.93751, 379.479777, 448.425223, 517.590152, 598.895338, 696.718027, 815.435464, 935.025994, 1094.02532, 1306.57025, 1586.79759, 1856.40165, 2258.93873, 2845.52263, 3667.26715, 4690.50381, 6220.69328, 8329.94908, 11413.3409, 15245.1024, 21759.8548, 32352.1221, 48416.4288},
143  {-1707.35118, -1653.0484, -1609.52501, -1573.71394, -1542.54814, -1512.96053, -1481.88405, -1446.25164, -1402.99624, -1326.96932, -1246.01786, -1165.90739, -1092.40343, -1050.37625, -1018.84473, -995.932496, -979.763174, -974.240986, -969.396721, -961.041762, -944.987495, -897.385648, -841.571127, -781.219183, -720.005065, -672.775514, -627.56569, -583.582244, -540.031828, -493.404962, -446.710883, -400.242696, -354.293506, -310.740658, -267.659322, -224.708907, -181.548824, -137.082706, -92.0280493, -46.3465739, 0., 46.2075789, 93.4937656, 142.233789, 192.802879, 243.351361, 297.36933, 356.121975, 420.874489, 485.626378, 561.814791, 653.61119, 765.18704, 876.888988, 1026.24324, 1226.95119, 1492.71423, 1743.67573, 2124.5183, 2686.36654, 3480.34503, 4472.24266, 5969.19114, 8053.42895, 11092.3504, 14891.8235, 21218.6652, 31349.4551, 46560.7729},
144  {-1584.39249, -1529.62886, -1485.55795, -1449.34221, -1418.14411, -1389.1261, -1359.45065, -1326.28022, -1286.77728, -1218.43376, -1145.95085, -1074.35921, -1008.68952, -971.084549, -942.618, -921.475684, -905.843417, -897.67345, -889.878586, -879.138066, -862.131131, -819.992009, -771.162956, -718.541216, -665.024034, -622.233049, -580.851352, -540.286431, -499.94577, -457.133564, -414.20191, -371.399611, -328.975471, -288.469407, -248.322665, -208.267601, -168.036574, -126.862414, -85.1768186, -42.9119574, 0., 42.9200457, 86.9055837, 132.30718, 179.4754, 226.72537, 277.257271, 332.235845, 392.825836, 453.366138, 524.577678, 610.355535, 714.594789, 817.830593, 956.661925, 1144.32784, 1394.06738, 1625.20104, 1982.45386, 2516.63232, 3278.54291, 4233.71041, 5688.78638, 7733.36167, 10711.2418, 14457.5951, 20587.924, 30272.6475, 44682.1844},
145  {-1485.97338, -1432.0574, -1386.22294, -1346.5141, -1310.975, -1277.64975, -1244.58246, -1209.81724, -1171.39821, -1113.82504, -1054.10405, -995.697115, -942.066106, -909.766207, -883.928673, -862.778061, -844.53893, -826.679817, -808.483705, -788.47756, -765.188346, -730.298793, -691.917793, -651.310007, -609.740092, -571.99583, -534.409508, -496.836536, -459.132322, -420.424886, -381.587985, -342.767985, -304.111253, -266.47896, -229.016746, -191.585055, -154.044331, -116.18712, -77.9689255, -39.2773507, 0., 39.3956861, 79.8338744, 121.658895, 165.21508, 209.062449, 256.043366, 307.215884, 363.638057, 420.173885, 486.553096, 566.311367, 662.984373, 757.078737, 884.370809, 1057.60788, 1289.53726, 1499.58688, 1831.15114, 2334.30506, 3059.12368, 3971.24838, 5374.05517, 7361.11611, 10257.2967, 13925.2237, 19845.1853, 29093.0545, 42744.7041},
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164  {-244.613452, -240.742451, -236.178876, -230.976389, -225.188652, -218.869326, -212.072073, -204.850553, -197.258429, -189.207498, -180.950031, -172.596435, -164.257118, -156.526127, -148.836772, -141.106004, -133.250774, -124.687935, -116.034573, -107.407678, -98.9242389, -91.0767404, -83.4564783, -76.0302437, -68.7648278, -61.4070679, -54.2316906, -47.2934683, -40.6471739, -34.4312784, -28.5833766, -23.1247619, -18.0767276, -13.2663693, -8.98685713, -5.33716324, -2.41625999, -1.89649508, -1.67411532, -1.2187429, 0., 4.81904605, 10.5395963, 16.7694066, 23.1162328, 27.6727934, 32.1678966, 36.8153135, 41.8288147, 45.4844063, 50.7087301, 58.4906628, 69.8190813, 70.9233303, 83.4556316, 114.308675, 170.37515, 182.25048, 263.643527, 451.965888, 784.629157, 1214.99982, 2032.62481, 3336.30428, 5382.70068, 8336.57764, 12572.4318, 18412.3265, 26178.3252},
165  {-231.376208, -227.327158, -222.515866, -217.031636, -210.963774, -204.401586, -197.434378, -190.151455, -182.642124, -175.141937, -167.535452, -159.853477, -152.126817, -144.557247, -136.936217, -129.226146, -121.389454, -112.999904, -104.564031, -96.1997155, -88.0248379, -80.5747267, -73.3828348, -66.400063, -59.5773124, -52.5780585, -45.755598, -39.1758021, -32.9045422, -27.1020775, -21.7021359, -16.7328335, -12.2222863, -8.04341573, -4.44161024, -1.50706368, 0.670030087, 0.566059177, 0.0976149603, -0.252129215, 0., 3.38796234, 7.52383021, 12.0704624, 16.6907177, 19.6122814, 22.5072553, 25.6125674, 29.1651461, 31.5685348, 35.6264003, 42.3090248, 52.5866904, 52.2400158, 63.5048119, 93.4272263, 149.053406, 162.959, 246.448854, 436.357316, 769.518734, 1203.88868, 2012.93783, 3290.75124, 5281.02929, 8175.03416, 12224.1654, 17664.7881, 24733.2674},
166  {-219.890779, -215.461152, -210.294408, -204.496731, -198.174303, -191.433308, -184.37993, -177.120352, -169.760758, -162.766899, -155.741564, -148.647109, -141.445889, -133.988329, -126.393489, -118.6685, -110.820491, -102.586526, -94.3518247, -86.2315432, -78.3408367, -71.2359444, -64.414504, -57.8152372, -51.3768655, -44.7009486, -38.1982351, -31.9423113, -26.0067637, -20.5571553, -15.5383054, -10.9870099, -6.94006466, -3.32241444, -0.327446578, 1.96330266, 3.46829701, 2.81815514, 1.73432386, 0.650404896, 0., 1.99854432, 4.58507283, 7.48045392, 10.405556, 11.7205528, 13.0512852, 14.6628993, 16.8205414, 18.073119, 21.0885124, 26.8183632, 36.2143128, 34.727059, 45.009565, 74.2138497, 129.491933, 145.909806, 231.539927, 422.368724, 754.382627, 1190.66081, 1985.91147, 3228.78282, 5147.23075, 7953.77503, 11783.3722, 16790.3694, 23129.1142},
167  {-226.724899, -212.764992, -200.613432, -190.033165, -180.787138, -172.638298, -165.34959, -158.683961, -152.404358, -145.81283, -139.317579, -132.865911, -126.40513, -119.900384, -113.273999, -106.466146, -99.4169927, -91.5262098, -83.4906648, -75.4667261, -67.6107623, -60.4573783, -53.6334118, -47.1439369, -40.9940276, -35.2433287, -29.8205152, -24.7088327, -19.8915271, -15.2693682, -10.9410679, -6.92286233, -3.23098758, 0.61081133, 3.89681083, 6.41377843, 7.9484816, 6.40498557, 4.20584103, 1.89089637, 0., 1.36847131, 3.32249934, 5.4837441, 7.4738656, 7.10299269, 6.52892902, 6.09794707, 6.15631933, 4.78894311, 5.50801613, 9.56436095, 18.2088001, 19.6826667, 33.4500685, 65.965624, 123.683951, 138.560516, 221.348751, 408.302935, 735.677349, 1179.71831, 1956.70398, 3138.69873, 4942.56472, 7595.34243, 11138.5612, 15660.1283, 21247.9508},
168  {-236.84171, -211.295632, -190.740811, -174.495373, -161.877439, -152.205134, -144.796581, -138.969903, -134.043225, -127.670992, -121.500477, -115.515274, -109.698978, -104.443078, -99.1601186, -93.6705368, -87.7947709, -80.3881138, -72.6222059, -64.7035429, -56.8386203, -49.4919717, -42.5088397, -35.9925048, -30.0462478, -25.3821555, -21.2511794, -17.5130774, -14.0276074, -10.327812, -6.73085042, -3.2271669, 0.192794552, 4.54191817, 8.42510028, 11.4505655, 13.2265385, 10.5952775, 7.03736001, 3.26739713, 0., 1.10351971, 2.87733143, 4.77455029, 6.24829142, 4.25773493, 1.74750499, -0.831709239, -3.02921862, -7.34619724, -9.19934742, -6.95723472, 1.01157529, 6.82986723, 25.4411853, 62.2804239, 122.782477, 135.652615, 213.747207, 393.192996, 710.116727, 1156.14026, 1900.90499, 2996.52076, 4644.78844, 7069.78957, 10256.7919, 14250.7667, 19096.6851},
169  {-232.280967, -202.805662, -179.493136, -161.488734, -147.937801, -137.985681, -130.77772, -125.459263, -121.175653, -114.86966, -108.770235, -102.903752, -97.2965875, -92.6305548, -88.0144139, -83.2123638, -77.9886036, -70.9785561, -63.5267075, -55.8487674, -48.1604456, -40.8346679, -33.8670415, -27.4103897, -21.6175357, -17.5081853, -14.0215263, -10.963629, -8.14056397, -4.8928611, -1.67834712, 1.51069153, 4.68196843, 9.02829042, 12.8982405, 15.8254948, 17.3437298, 13.841766, 9.25607751, 4.37828269, 0., 0.430831866, 1.53721913, 2.70358662, 3.31435919, -0.0847916974, -4.13518649, -8.31689902, -12.1100031, -18.0667268, -21.3661281, -20.2594189, -12.9978114, -5.65089228, 14.4758508, 52.2585556, 112.57336, 127.359326, 203.604497, 375.359842, 676.676327, 1108.31316, 1804.19659, 2804.49135, 4284.70754, 6449.15256, 9251.59936, 12708.4545, 16836.1246},
170  {-217.723575, -189.98152, -168.069873, -151.165799, -138.446465, -129.089038, -122.270683, -117.168567, -112.959856, -106.589909, -100.360423, -94.3412868, -88.602391, -83.9929754, -79.4918381, -74.8571281, -69.8469946, -63.1281994, -55.9868336, -48.6176009, -41.2152054, -34.0498118, -27.2104788, -20.8617257, -15.168072, -11.1893742, -7.83668007, -4.91637443, -2.23484203, 0.921668114, 4.01858121, 7.04145819, 9.97586002, 13.921929, 17.3048121, 19.6642379, 20.5399346, 16.3430655, 10.9933504, 5.28194367, 0., -0.573489477, -0.530341535, -0.4745363, -1.0100539, -5.63864982, -10.9074187, -16.2612305, -21.1449552, -27.7808742, -31.7254815, -31.3126825, -24.8763827, -18.1852808, 0.835428433, 36.825757, 94.4257167, 113.608134, 189.54708, 352.749442, 633.722106, 1037.49814, 1671.00588, 2568.45021, 3871.51835, 5752.88672, 8153.79254, 11073.3328, 14510.6046},
171  {-197.850438, -175.509646, -157.670492, -143.67912, -132.881674, -124.624299, -118.253141, -113.114343, -108.55405, -102.012813, -95.5046078, -89.1378169, -83.0208222, -78.0605024, -73.2473444, -68.3703316, -63.2184475, -56.6677061, -49.7852481, -42.7252446, -35.6418668, -28.701748, -22.0416126, -15.8106468, -10.1580371, -5.99367853, -2.40176533, 0.772799518, 3.68511306, 7.00195942, 10.1620738, 13.1158783, 15.8137953, 19.0748347, 21.6333959, 23.0924661, 23.0550322, 18.2977904, 12.3805353, 6.03677068, 0., -1.83334156, -3.15785451, -4.50520788, -6.40707065, -12.1179021, -18.3574648, -24.5683118, -30.1929959, -36.8968677, -41.0105633, -41.0875167, -35.6811617, -31.1989674, -15.1987182, 16.907766, 69.7086655, 94.3265236, 170.201412, 323.307766, 579.620021, 944.956329, 1505.75997, 2294.23711, 3414.41715, 5000.44737, 6994.1804, 9385.54253, 12164.4601},
172  {-177.34246, -162.076478, -149.494462, -139.181246, -130.721668, -123.700563, -117.702768, -112.313118, -107.11645, -100.319447, -93.4363589, -86.6032825, -79.9563146, -74.3632984, -68.935886, -63.5174757, -57.9514658, -51.4277386, -44.704615, -37.8868996, -31.0793971, -24.3548212, -17.8629043, -11.7212873, -6.04761157, -1.48905451, 2.57809353, 6.24800591, 9.61485598, 13.2341966, 16.5542697, 19.4846971, 21.9351002, 24.3390085, 25.8725726, 26.2358508, 25.1289017, 19.9045551, 13.5489893, 6.70115434, 0., -3.27262161, -6.17782377, -9.13381751, -12.5588139, -19.2366111, -26.2735981, -33.1417511, -39.3130462, -45.8229357, -49.9545293, -50.5544126, -46.4691713, -45.1176209, -33.3452256, -6.56967931, 39.791324, 69.4419812, 144.193951, 284.980784, 512.73603, 831.948853, 1312.88596, 1987.69175, 2922.60026, 4211.28985, 5803.57192, 7685.22462, 9842.0261},
173  {-160.880546, -152.368455, -144.741251, -137.82473, -131.444689, -125.426926, -119.597237, -113.78142, -107.805271, -100.690886, -93.3892444, -86.0476237, -78.8133015, -72.4315259, -66.2124162, -60.0640621, -53.8945533, -47.2389595, -40.5275983, -33.8177671, -27.1667634, -20.5733762, -14.1768151, -8.05778129, -2.29697582, 2.75654163, 7.39777206, 11.6533579, 15.5499414, 19.5045633, 22.9973084, 25.8986598, 28.0791008, 29.5664513, 30.0109229, 29.2200637, 27.0014222, 21.3619739, 14.6300691, 7.33348529, 0., -4.81522689, -9.42275327, -14.1057546, -19.1474064, -26.7088395, -34.4440918, -41.8851566, -48.5640273, -54.9673069, -59.290535, -60.683861, -58.2974344, -60.3669104, -53.3227302, -32.6808411, 6.04281005, 38.8819919, 110.151155, 235.714466, 431.436092, 699.736845, 1096.81095, 1654.65389, 2405.26399, 3404.86948, 4612.77606, 6012.52008, 7587.63786},
174  {-117.464876, -123.918365, -127.492752, -128.518553, -127.326281, -124.246452, -119.609581, -113.746181, -106.986767, -100.040866, -92.7083752, -85.1682045, -77.5992633, -70.6372629, -63.8215906, -57.1484355, -50.6139865, -44.2722108, -38.038408, -31.8856556, -25.7870314, -19.5202853, -13.3319539, -7.27324596, -1.3953703, 4.18790751, 9.51295815, 14.5535955, 19.2836336, 24.2243411, 28.5830951, 32.1147276, 34.5740706, 35.1779179, 34.4343549, 32.3134286, 28.7851863, 22.7771943, 15.718973, 7.99756168, 0., -6.61155838, -13.2352339, -19.9940327, -27.010961, -35.9903708, -44.8413841, -53.054469, -60.1200932, -64.6781795, -67.4099591, -68.1461179, -66.7173418, -74.5060328, -75.1704745, -63.9206668, -35.9666093, 0.717528466, 68.7915847, 178.151228, 338.692126, 545.47663, 852.90036, 1304.26458, 1880.44809, 2572.04849, 3393.21069, 4352.19278, 5457.25286},
175  {-136.527966, -139.159539, -139.607421, -138.121857, -134.953088, -130.351358, -124.566911, -117.849989, -110.450837, -102.93602, -95.112929, -87.1052792, -79.0367843, -71.261443, -63.5805711, -56.0257688, -48.6286365, -41.5501343, -34.6407587, -27.880366, -21.2488126, -14.5876696, -8.07039264, -1.7321522, 4.3918813, 10.3326244, 15.962385, 21.2195577, 26.0425374, 30.7830152, 34.8007711, 37.8688812, 39.7604217, 39.674461, 38.1876865, 35.3027776, 31.0224139, 24.5660901, 17.0329442, 8.73892973, 0., -8.04750415, -16.2361718, -24.5782045, -33.0858038, -42.6581978, -52.0657511, -60.9658549, -69.0159002, -75.50637, -80.6083267, -84.1259248, -85.8633187, -94.7693226, -97.845567, -91.2383424, -71.0939391, -40.7141918, 13.7723711, 99.0816769, 221.929653, 380.179382, 607.105325, 934.522007, 1336.34321, 1800.19873, 2316.75508, 2875.91963, 3467.59973},
176  {-194.664249, -181.230941, -169.302868, -158.648225, -149.035212, -140.232023, -132.006856, -124.127907, -116.363375, -107.812862, -99.1805959, -90.502209, -81.8133354, -73.2086007, -64.6410495, -56.1227188, -47.6656453, -39.1592333, -30.7872051, -22.6106505, -14.6906592, -7.17655082, -0.00589349249, 6.79551487, 13.2018764, 19.3079585, 24.9191718, 29.9614923, 34.3608958, 38.1894679, 41.1686312, 43.1659177, 44.0488595, 43.4935761, 41.6355773, 38.4189602, 33.7878219, 26.7947351, 18.6319311, 9.6001171, 0., -9.24386883, -18.7041645, -28.3297179, -38.0693597, -47.9114983, -57.7495558, -67.516532, -77.1454268, -88.0404396, -98.0748906, -106.593299, -112.940186, -120.019097, -122.191915, -117.379548, -103.502907, -87.2876613, -54.3280535, 0.976913021, 84.2282345, 202.753802, 356.973927, 552.751261, 786.612743, 1083.52895, 1364.03162, 1574.7622, 1662.36213},
177  {-175.36164, -166.624748, -158.159801, -149.925768, -141.881618, -133.986319, -126.198841, -118.478152, -110.783222, -103.030633, -95.2386948, -87.3833331, -79.440472, -71.2174429, -62.9261997, -54.6101037, -46.3125163, -38.121428, -30.017719, -22.0268988, -14.1744769, -6.30376836, 1.30464509, 8.55237609, 15.3410373, 21.2894899, 26.6951987, 31.5728771, 35.9372383, 40.4691856, 44.2507664, 47.0302182, 48.5557784, 48.0057096, 45.9262139, 42.2935185, 37.0838506, 29.5326914, 20.6533127, 10.7182403, 0., -10.8380537, -22.0705555, -33.5813111, -45.2541263, -57.0379543, -68.7253946, -80.1741938, -91.2420989, -101.801961, -111.69038, -120.759063, -128.859713, -138.865711, -146.398417, -150.100866, -148.616093, -144.359406, -130.692659, -104.749978, -63.6654913, -2.1174713, 75.3923952, 179.345261, 277.973065, 352.592929, 374.43045, 317.234105, 154.752373},
178  {-191.788584, -182.390037, -173.740918, -165.639879, -157.885566, -150.276631, -142.611723, -134.68949, -126.308584, -116.144987, -105.569081, -94.8285798, -84.1712001, -74.6575672, -65.3973217, -56.3130147, -47.3271972, -37.9729249, -28.7180425, -19.6408993, -10.8198446, -2.39999017, 5.63378214, 13.2298281, 20.3365033, 26.8791912, 32.8384087, 38.1717007, 42.8366119, 47.2220462, 50.6816452, 53.00041, 53.9633413, 52.8498506, 50.1527642, 45.859319, 39.9567519, 31.9102235, 22.4378773, 11.7357803, 0., -12.5765892, -25.7934503, -39.453239, -53.3586108, -66.8576235, -80.38937, -93.9383452, -107.489044, -121.262378, -134.911858, -148.327413, -161.398972, -174.938597, -187.545228, -198.739941, -208.043809, -213.510736, -216.715838, -217.767058, -216.77234, -208.338342, -209.076867, -219.416934, -264.909434, -355.793203, -538.433422, -850.163683, -1328.31758},
179  {-198.71236, -197.308699, -193.101836, -186.510063, -177.951671, -167.844951, -156.608195, -144.659693, -132.417739, -121.285996, -110.303233, -99.4935919, -88.8812147, -78.707498, -68.6924271, -58.7732421, -48.8871829, -38.459504, -28.1442253, -18.0833812, -8.41900594, 0.229792022, 8.38888204, 16.1070594, 23.4331194, 30.88596, 37.8562326, 44.2046916, 49.7920911, 54.7738453, 58.5981843, 61.0079983, 61.7461775, 59.6423142, 55.7179154, 50.0811906, 42.840349, 34.2000096, 24.1334081, 12.7101898, 0., -14.5670711, -30.0260009, -46.0513217, -62.3175661, -77.5333094, -92.7254243, -107.954826, -123.28243, -138.151262, -153.487283, -169.598565, -186.793178, -205.872273, -226.45361, -248.648032, -272.566377, -292.582224, -316.83858, -347.741193, -387.695808, -434.404278, -504.384028, -598.974796, -746.35905, -974.171705, -1285.39517, -1689.17496, -2194.65663}
180  };
181 
182  const double a5tab[50][69] = {
183  {4296.48547, 4145.14906, 4028.39347, 3938.25617, 3866.77463, 3805.98633, 3747.92872, 3684.63929, 3608.15549, 3470.8602, 3320.30733, 3164.39619, 3011.02609, 2895.53131, 2787.40219, 2683.56406, 2580.94224, 2467.08826, 2352.05074, 2236.50453, 2121.12447, 2008.42576, 1896.50673, 1785.30605, 1674.76241, 1564.89358, 1455.52754, 1346.57134, 1237.93205, 1128.57981, 1019.73336, 911.67453, 804.685139, 699.870801, 596.360042, 494.10517, 393.058497, 293.389367, 194.746242, 96.9946212, 0., -95.8821865, -191.472354, -287.100981, -383.098545, -476.415091, -572.113704, -671.877035, -777.387735, -883.098866, -1000.81451, -1135.10914, -1290.55726, -1445.5122, -1641.25806, -1892.85779, -2215.37433, -2550.46591, -3015.96209, -3656.28769, -4515.86756, -5562.5241, -7070.48939, -8999.14401, -12015.737, -15367.8837, -23273.8659, -38709.2987, -64649.7973},
184  {3989.50138, 3890.74144, 3791.28858, 3691.26149, 3590.77885, 3489.95935, 3388.92168, 3287.78452, 3186.66657, 3088.65256, 2989.7087, 2888.76729, 2784.76057, 2664.7319, 2544.25806, 2427.02688, 2316.72622, 2240.60956, 2169.37286, 2097.27769, 2018.58566, 1902.04814, 1777.64101, 1649.82996, 1523.08064, 1415.81637, 1312.96214, 1213.40058, 1116.01432, 1016.79356, 918.670313, 821.68419, 725.874783, 631.536102, 538.351566, 446.259007, 355.196258, 265.266634, 176.17629, 87.7968658, 0., -86.9254916, -173.692018, -260.594811, -347.929102, -432.365887, -519.274328, -610.399354, -707.48589, -805.717825, -916.025541, -1042.77838, -1190.34568, -1339.01104, -1526.86385, -1767.90776, -2076.14641, -2395.68728, -2838.38865, -3446.21264, -4261.12134, -5252.34273, -6680.04137, -8501.55957, -11361.8428, -14541.9955, -22090.8829, -36865.43, -61722.5616},
185  {3757.56237, 3688.98233, 3602.74083, 3502.53272, 3392.05283, 3274.99599, 3155.05703, 3035.9308, 2921.31211, 2833.32287, 2749.86003, 2667.24761, 2581.80961, 2470.83397, 2357.29521, 2245.13178, 2138.28212, 2062.17793, 1990.6671, 1919.09078, 1842.79012, 1736.93836, 1625.1117, 1510.71846, 1397.16693, 1298.16665, 1202.70421, 1110.06741, 1019.54408, 928.906343, 839.563964, 751.411028, 664.341619, 578.018704, 492.659931, 408.25183, 324.780933, 242.505048, 161.030918, 80.2365616, 0., -79.1939341, -158.316759, -237.733181, -317.807904, -395.541068, -476.007772, -560.918545, -651.983919, -744.762196, -849.577029, -970.599841, -1112.00206, -1254.41911, -1434.97281, -1667.24897, -1964.8334, -2274.39487, -2703.20307, -3291.61063, -4079.9702, -5039.50056, -6417.95592, -8173.42849, -10924.8947, -14014.4248, -21230.8298, -35251.2358, -58752.7686},
186  {3573.43954, 3518.13048, 3441.64113, 3347.99242, 3241.20528, 3125.30065, 3004.29946, 2882.22265, 2763.09114, 2665.78538, 2573.523, 2484.38113, 2396.4369, 2303.02573, 2208.86315, 2113.92298, 2018.17905, 1918.81705, 1819.71417, 1721.95946, 1626.642, 1540.32011, 1456.42589, 1373.86068, 1291.52585, 1204.16451, 1116.49954, 1029.09559, 942.517315, 859.174238, 777.048176, 695.965823, 615.753875, 535.637321, 456.285245, 377.765026, 300.144041, 223.94418, 148.596504, 73.9865859, 0., -72.5271837, -145.040088, -218.033339, -292.001563, -364.645482, -440.371185, -520.79086, -607.516694, -696.21608, -796.823916, -913.330305, -1049.72535, -1186.00008, -1359.74331, -1584.54477, -1873.9942, -2177.10138, -2597.86799, -3175.71572, -3950.0663, -4894.3482, -6245.96286, -7966.33323, -10645.6449, -13703.476, -20613.072, -33834.2617, -55826.8739},
187  {3409.90395, 3356.44466, 3286.88038, 3203.56312, 3108.8449, 3005.07774, 2894.61363, 2779.80461, 2663.00268, 2546.95431, 2433.45928, 2324.71182, 2222.90615, 2150.49542, 2081.31138, 2009.44471, 1928.98609, 1797.5506, 1660.29474, 1525.89938, 1403.04545, 1339.4171, 1289.09066, 1245.14575, 1200.66196, 1126.02999, 1046.0939, 963.008853, 878.930002, 801.853306, 725.756809, 650.459352, 575.779776, 500.710664, 426.227618, 352.479982, 279.6171, 208.423598, 138.159426, 68.7198163, 0., -66.7649103, -133.555516, -201.012536, -269.776693, -338.38397, -410.421719, -487.372554, -570.71909, -656.063581, -753.121147, -865.726549, -997.714547, -1128.01761, -1295.3337, -1513.4585, -1796.18769, -2094.31954, -2509.84608, -3081.76197, -3849.06182, -4787.23624, -6125.79199, -7831.85622, -10464.8454, -13527.4537, -20156.9751, -32582.0535, -53031.3329},
188  {3239.72667, 3182.18361, 3117.34947, 3045.16737, 2965.58039, 2878.53165, 2783.96423, 2681.82123, 2572.04576, 2437.74389, 2302.43055, 2172.78365, 2055.48109, 2002.43127, 1956.9894, 1907.74119, 1843.27233, 1685.40227, 1516.18949, 1350.92621, 1204.90465, 1161.45301, 1140.61312, 1130.46279, 1119.07984, 1055.98318, 983.233088, 904.330944, 822.778121, 751.19961, 680.323725, 610.002396, 540.087553, 469.557447, 399.487158, 330.078085, 261.53163, 194.782874, 129.006064, 64.1091301, 0., -61.7467835, -123.556551, -186.188021, -250.399908, -315.46138, -384.216524, -458.019878, -538.225981, -620.2888, -713.823669, -822.545353, -950.168616, -1074.73535, -1235.90234, -1447.6535, -1723.97275, -2016.56203, -2426.60002, -2992.98342, -3754.60894, -4688.5153, -6019.17312, -7721.57993, -10323.2482, -13404.6625, -19781.9045, -31462.1566, -50452.6013},
189  {3035.67878, 2973.60609, 2911.93932, 2848.72771, 2782.02045, 2709.86678, 2630.31591, 2541.41704, 2441.2194, 2299.06835, 2153.19849, 2013.14059, 1888.4254, 1848.02151, 1818.24671, 1784.85662, 1733.60687, 1569.39574, 1391.17913, 1217.05561, 1065.12374, 1033.65155, 1028.50034, 1035.70092, 1041.28404, 986.24413, 919.662878, 845.585609, 768.05765, 701.469213, 635.382783, 569.705732, 504.34543, 438.496382, 373.063973, 308.240723, 244.21915, 181.861577, 120.422796, 59.8274049, 0., -57.3124734, -114.736706, -173.077041, -233.137821, -294.582554, -359.81275, -430.089086, -506.672238, -584.87584, -674.286427, -778.543494, -901.286533, -1020.41696, -1175.60758, -1380.79311, -1649.90829, -1934.34159, -2335.59247, -2892.61414, -3644.35983, -4568.53596, -5887.83607, -7587.08678, -10161.6055, -13253.4069, -19407.2257, -30442.1168, -48177.1347},
190  {2770.53136, 2708.97085, 2649.54083, 2590.16668, 2528.77379, 2463.28755, 2391.63335, 2311.73658, 2221.52263, 2091.84191, 1958.52477, 1830.32661, 1716.0028, 1676.45437, 1647.43281, 1616.83524, 1572.5588, 1436.55469, 1289.04433, 1144.30323, 1016.60689, 983.236401, 970.259435, 966.74926, 961.779143, 909.032918, 847.129054, 779.296591, 708.764568, 646.91818, 585.567846, 524.68014, 464.221637, 403.846181, 343.958173, 284.649282, 226.011177, 168.499276, 111.696, 55.5475182, 0., -53.3016495, -106.789491, -161.196848, -217.257045, -274.452337, -335.267548, -400.93643, -472.692737, -545.808803, -629.864368, -728.477751, -845.267274, -959.326113, -1108.60779, -1306.54069, -1566.55318, -1838.17091, -2224.28609, -2763.88818, -3495.96666, -4397.64884, -5693.51063, -7379.95924, -9920.66925, -12991.9915, -18952.3044, -29489.4796, -46291.3886},
191  {2417.05548, 2366.53666, 2309.0449, 2245.40682, 2176.44909, 2102.99835, 2025.88123, 1945.9244, 1863.95449, 1776.9788, 1691.17107, 1608.88567, 1532.477, 1476.91808, 1426.8972, 1379.72126, 1332.69721, 1273.9028, 1213.56578, 1152.68474, 1092.25826, 1037.43127, 983.397481, 929.496943, 875.06971, 816.569606, 757.3774, 697.987635, 638.894853, 581.802574, 525.512772, 470.036397, 415.384401, 361.925557, 309.169865, 256.985149, 205.239231, 153.535543, 102.112055, 50.9423473, 0., -49.5539819, -99.4084146, -150.064689, -202.024195, -253.775575, -308.638068, -367.918164, -432.922351, -499.071792, -575.912436, -667.104903, -776.309814, -885.726459, -1029.06132, -1218.55955, -1466.46631, -1718.56271, -2080.14355, -2590.0396, -3287.08162, -4146.20453, -5397.92663, -7051.77975, -9541.19154, -12538.7207, -18336.5059, -28571.7906, -44881.8187},
192  {2185.86243, 2129.66864, 2072.54176, 2014.18321, 1954.2944, 1892.57674, 1828.73164, 1762.46052, 1693.46479, 1613.81027, 1533.88821, 1456.45424, 1384.26402, 1331.09789, 1284.27693, 1242.1469, 1203.05357, 1164.97587, 1126.77315, 1086.93792, 1043.96269, 989.074843, 930.938071, 870.950935, 810.511996, 754.725473, 699.802008, 645.657899, 592.209444, 538.934767, 486.363612, 434.587547, 383.69814, 334.548323, 286.163756, 238.331466, 190.838476, 142.966997, 95.210792, 47.5588098, 0., -46.4100171, -93.1756315, -140.734562, -189.524529, -237.936684, -289.27394, -344.79264, -405.74913, -467.474595, -539.520605, -625.513568, -729.079894, -833.298458, -970.562217, -1152.71659, -1391.60701, -1630.84359, -1977.80117, -2471.61931, -3151.43754, -3991.40953, -5225.63246, -6875.89452, -9345.32147, -12339.851, -17972.8354, -27755.7736, -43200.1643},
193  {1981.4486, 1917.74747, 1860.59169, 1808.1705, 1758.6731, 1710.28871, 1661.20656, 1609.61586, 1553.70582, 1477.58662, 1399.15813, 1322.2412, 1250.65666, 1201.62972, 1160.21509, 1124.87184, 1094.05904, 1069.0927, 1044.43221, 1017.39389, 985.294068, 932.67365, 874.734515, 813.90314, 752.606002, 700.319407, 649.600069, 600.054533, 551.289343, 501.502803, 452.272994, 403.769755, 356.162928, 310.714537, 266.065364, 221.948375, 178.096535, 133.578698, 89.0575891, 44.5318191, 0., -43.5656426, -87.5295569, -132.282577, -178.215537, -223.723063, -271.99068, -324.207705, -381.563456, -439.300701, -506.933925, -588.031063, -686.16005, -784.990737, -915.94838, -1090.56015, -1320.35322, -1546.9207, -1879.69744, -2358.18424, -3021.88189, -3844.23415, -5062.91291, -6711.52012, -9164.32682, -12162.1323, -17638.9538, -26980.504, -41572.4958},
194  {1794.4152, 1724.40808, 1667.3188, 1620.06974, 1579.58327, 1542.78174, 1506.58753, 1467.923, 1423.71051, 1351.59344, 1275.48475, 1200.01839, 1129.82833, 1084.63602, 1047.95293, 1018.37801, 994.510209, 980.512175, 967.19371, 950.928297, 928.089424, 877.880279, 820.71276, 759.828472, 698.469016, 649.593536, 602.839079, 557.560233, 513.111583, 466.653192, 420.611983, 375.220355, 330.710706, 288.654201, 247.408964, 206.671883, 166.13985, 124.746758, 83.2576926, 41.6747436, 0., -40.8980775, -82.2303199, -124.341187, -167.575137, -210.340302, -255.692002, -304.749227, -358.630969, -412.54525, -475.886418, -552.13785, -644.782925, -738.021909, -862.334537, -1028.91743, -1248.96722, -1462.16565, -1779.83017, -2241.76334, -2887.76773, -3690.53634, -4891.20049, -6534.3606, -8967.55178, -11963.4481, -17291.233, -26220.9625, -40022.6926},
195  {1628.55148, 1554.65838, 1498.11445, 1454.99224, 1421.36432, 1393.30328, 1366.88168, 1338.17208, 1303.24707, 1235.66334, 1163.01568, 1090.38301, 1022.84422, 981.368108, 948.787774, 923.826191, 905.206329, 898.844712, 893.393335, 884.697746, 868.603494, 821.350866, 766.232776, 706.936878, 647.150825, 601.764906, 558.783084, 517.41196, 476.858131, 433.670357, 390.776215, 348.44544, 306.947768, 268.010996, 229.863574, 192.192013, 154.682824, 116.244139, 77.6521993, 38.9048655, 0., -38.3123138, -77.0873241, -116.628058, -157.237541, -197.364371, -239.907775, -285.912554, -336.423505, -386.690844, -445.871786, -517.328963, -604.425008, -691.796217, -809.022092, -966.955801, -1176.45051, -1375.54392, -1677.03085, -2120.89065, -2747.10266, -3527.644, -4706.50075, -6337.96158, -8745.4887, -11730.9564, -16913.4172, -25457.6291, -38528.3499},
196  {1487.64668, 1413.5063, 1358.36997, 1318.04925, 1288.35567, 1265.10079, 1244.09613, 1221.15325, 1192.0837, 1129.6289, 1061.89856, 993.932245, 930.769552, 893.077305, 864.016948, 842.37717, 826.946657, 823.700716, 821.366769, 815.858856, 803.091017, 759.741547, 708.65453, 653.438306, 597.701215, 556.050561, 516.696131, 478.846677, 441.710953, 401.838723, 362.161324, 322.951103, 284.480408, 248.428604, 213.098217, 178.198789, 143.439861, 107.843807, 72.0822061, 36.1394671, 0., -35.7133438, -71.9099732, -108.860855, -146.836957, -184.371235, -224.167871, -267.193037, -314.412902, -361.220084, -416.38373, -483.099433, -564.562788, -645.717902, -755.312447, -903.842611, -1101.80458, -1286.02099, -1570.131, -1994.10022, -2597.89427, -3352.88507, -4504.81926, -6115.86863, -8488.62993, -11451.815, -16489.2504, -24670.9838, -37067.063},
197  {1375.49005, 1305.95973, 1253.47674, 1214.35207, 1184.89673, 1161.42172, 1140.23803, 1117.65665, 1089.9886, 1033.32271, 972.280995, 911.263313, 854.669523, 821.014935, 794.937775, 775.19172, 760.530448, 754.690595, 749.449696, 741.568244, 727.806733, 689.708458, 645.337991, 597.542705, 549.16997, 511.667545, 475.842264, 441.101348, 406.852016, 370.442713, 334.162944, 298.243438, 262.914923, 229.550707, 196.781911, 164.382231, 132.125366, 99.3187258, 66.3888102, 33.2958309, 0., -33.0061597, -66.5076708, -100.757245, -136.007596, -170.936864, -208.00216, -248.086024, -292.070995, -335.615571, -386.915951, -448.944294, -524.672755, -599.191206, -700.507005, -838.745224, -1024.03094, -1192.56234, -1457.96212, -1859.92612, -2438.15015, -3163.58747, -4282.16159, -5861.62737, -8187.4678, -11113.1819, -16002.4765, -23841.5066, -35616.4271},
198  {1295.87085, 1237.02659, 1188.82609, 1149.01198, 1115.32691, 1085.51353, 1057.31449, 1028.47242, 996.729976, 946.577353, 894.310623, 842.97341, 795.609339, 766.432322, 742.847581, 723.430622, 706.756955, 691.424756, 675.977799, 658.982526, 639.005378, 607.907736, 573.643128, 537.46002, 500.606877, 467.832902, 435.48553, 403.412934, 371.463285, 338.766752, 306.176712, 273.828538, 241.857605, 211.020988, 180.583677, 150.432364, 120.453741, 90.4418588, 60.4131083, 30.291239, 0., -30.0957535, -60.6898206, -92.0348943, -124.383668, -156.637225, -190.940513, -228.086866, -268.869621, -309.359907, -356.962153, -414.358576, -484.231398, -551.62037, -643.907167, -770.830997, -942.131067, -1094.13344, -1339.35572, -1716.90239, -2265.87789, -2957.07913, -4034.53329, -5568.78338, -7832.49467, -10702.2149, -15436.8397, -22949.6777, -34154.0375},
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218  {185.425713, 181.879415, 177.667063, 172.87414, 167.58613, 161.888515, 155.86678, 149.606408, 143.192881, 136.876184, 130.511499, 124.11851, 117.716901, 111.447124, 105.159785, 98.8262595, 92.4179225, 85.5950808, 78.7646057, 72.0222999, 65.4639662, 59.5233565, 53.8231446, 48.3239537, 42.9864068, 37.5470253, 32.2801747, 27.2361189, 22.4651217, 18.090378, 14.0600481, 10.3952234, 7.11699527, 4.1425339, 1.63842043, -0.332685234, -1.7081232, -1.39162518, -0.767583015, -0.186780138, 0., -2.0207093, -4.55193494, -7.35938705, -10.2087758, -11.7946811, -13.3823954, -15.166081, -17.3399, -18.5179766, -21.1065264, -25.9317269, -33.8197554, -32.9334411, -41.8276492, -66.3938965, -112.5237, -124.479458, -194.433453, -352.92885, -630.508812, -991.333571, -1665.09509, -2727.23475, -4392.23916, -6818.86329, -10249.7435, -14906.5457, -21010.9359},
219  {177.049383, 173.145211, 168.610719, 163.542914, 158.038804, 152.195397, 146.109701, 139.878725, 133.599477, 127.703878, 121.820057, 115.911057, 109.93992, 103.754355, 97.4788721, 91.1226459, 84.6948522, 77.9966166, 71.3283849, 64.7825529, 58.4515163, 52.7810191, 47.3687694, 42.1658237, 37.1232385, 31.9300195, 26.9040941, 22.1013388, 17.5776303, 13.4595, 9.70390802, 6.33846907, 3.39079796, 0.816745601, -1.25560381, -2.76992995, -3.66991249, -2.97099193, -1.91638277, -0.821060353, 0., -1.02550445, -2.45229068, -4.09240305, -5.75788596, -6.24006989, -6.77999864, -7.59800213, -8.91441027, -9.4388557, -11.5066445, -15.9423856, -23.5706878, -22.2707196, -30.9907063, -55.7334329, -102.501684, -117.479367, -190.415696, -351.241008, -629.885639, -994.651801, -1660.35421, -2698.57779, -4310.10409, -6671.741, -9926.99437, -14227.6955, -19725.6759},
220  {187.82453, 175.380638, 164.522254, 155.048751, 146.759502, 139.453881, 132.931261, 126.991014, 121.432515, 115.682444, 110.061944, 104.519465, 99.0034562, 93.4094581, 87.7599952, 82.0246817, 76.1731321, 69.8497126, 63.4793845, 57.1618613, 50.9968561, 45.3113449, 39.8868738, 34.732251, 29.8562852, 25.3107344, 21.0442775, 17.0485431, 13.3151599, 9.78749463, 6.52474233, 3.53783623, 0.837709548, -1.92123783, -4.22892593, -5.93180815, -6.87633789, -5.53361613, -3.67558966, -1.69885283, 0., -0.623134421, -1.65833802, -2.8432016, -3.91531598, -3.23888229, -2.47423689, -1.90832646, -1.82809767, -0.571915493, -1.15474102, -4.64295363, -12.1029327, -13.5154792, -25.4667823, -53.4574527, -102.988101, -117.986443, -190.155143, -349.623968, -626.522688, -999.557189, -1653.12889, -2646.10523, -4169.23759, -6411.62763, -9437.09199, -13340.7686, -18217.7952},
221  {202.594033, 179.751196, 161.257808, 146.529047, 134.980092, 126.026122, 119.082316, 113.563853, 108.885911, 103.059218, 97.4651852, 92.0807714, 86.8829361, 82.0677256, 77.3053773, 72.4852159, 67.4965658, 61.6813602, 55.6952715, 49.6465805, 43.6435684, 37.8332563, 32.2696889, 27.0456511, 22.2539279, 18.4601648, 15.0951418, 12.0624993, 9.26587801, 6.39380025, 3.65107215, 1.02738158, -1.48758357, -4.64361367, -7.41575128, -9.51851721, -10.6664323, -8.53514926, -5.69360421, -2.67186512, 0., -0.508669667, -1.50711222, -2.60515855, -3.41263955, -1.63513838, 0.451567238, 2.47594729, 4.06647178, 7.34644229, 8.45156461, 6.01237612, -1.34058582, -6.53591649, -22.7602928, -54.7595243, -107.279421, -121.97668, -191.921867, -347.096438, -617.481845, -993.994698, -1623.81099, -2550.28408, -3950.79094, -6012.26715, -8749.39028, -12219.9024, -16481.5456},
222  {202.282333, 175.871048, 154.829792, 138.423698, 125.9179, 116.577528, 109.667717, 104.453599, 100.200306, 94.3003516, 88.640535, 83.2350361, 78.0980346, 73.6586754, 69.3501876, 65.0207652, 60.5186022, 55.0509575, 49.3633342, 43.5603002, 37.7464236, 31.9534243, 26.3878575, 21.1834305, 16.4738504, 13.064521, 10.1487743, 7.59163891, 5.25814349, 2.701185, 0.222776282, -2.18720142, -4.53886688, -7.71996386, -10.5119361, -12.5738524, -13.5647814, -10.8155658, -7.24479091, -3.44281592, 0., -0.08641868, -0.680828277, -1.34170145, -1.62751084, 1.08043447, 4.17563281, 7.22874608, 9.81043621, 14.0900627, 16.0001108, 14.0717634, 6.83620339, -0.0235436439, -17.9888746, -51.3893436, -104.554505, -121.858854, -191.569027, -341.996602, -601.453156, -968.32838, -1560.69951, -2412.60149, -3678.80089, -5530.33367, -7952.42665, -10976.7589, -14635.0096},
223  {191.434042, 166.516391, 146.685199, 131.231755, 119.447344, 110.623254, 104.050772, 99.021184, 94.8257772, 88.8485881, 83.051054, 77.4873619, 72.211699, 67.8168808, 63.6030143, 59.4088351, 55.0730788, 49.8012396, 44.318591, 38.7171651, 33.088994, 27.4028755, 21.9233699, 16.7918031, 12.1495011, 8.82957003, 6.00484342, 3.539935, 1.29945857, -1.20513783, -3.61480841, -5.9236731, -8.12585181, -11.0434715, -13.5114422, -15.1926812, -15.7501056, -12.5223676, -8.42635531, -4.05469173, 0., 0.584774086, 0.691459186, 0.751561269, 1.1965863, 4.6894944, 8.53775573, 12.2802946, 15.4560354, 19.9833366, 22.0699146, 20.30292, 13.2695034, 6.39295062, -11.3101771, -43.9871831, -95.785371, -117.497179, -187.966722, -332.683249, -577.13601, -923.480797, -1467.20723, -2237.65049, -3360.76265, -4981.95802, -7072.18514, -9646.00898, -12717.9945},
224  {174.593769, 154.463423, 138.271025, 125.452267, 115.442846, 107.678454, 101.594787, 96.6275385, 92.2124029, 86.1466711, 80.1598024, 74.3428524, 68.7868768, 64.1769151, 59.7724458, 55.426931, 50.993833, 45.7749414, 40.3960599, 34.9313197, 29.4548519, 23.9126366, 18.5582165, 13.5169832, 8.91432833, 5.46107933, 2.46301766, -0.188639368, -2.60267448, -5.23995495, -7.71634509, -9.99979375, -12.0582498, -14.5073195, -16.4082314, -17.4698714, -17.4011254, -13.8030567, -9.33550295, -4.55047905, 0., 1.44606418, 2.48069555, 3.47902116, 4.81616805, 8.97369958, 13.3777319, 17.5608176, 21.055509, 25.3506551, 27.2399934, 25.4735579, 18.8013827, 13.0848776, -2.88184972, -33.1933156, -81.9440363, -108.755869, -179.985053, -317.515168, -543.229795, -860.374511, -1346.74691, -2030.02411, -3004.17146, -4383.27103, -6134.6498, -8262.3235, -10770.3079},
225  {156.306122, 142.488343, 131.034262, 121.584286, 113.778824, 107.258283, 101.66307, 96.6335931, 91.81026, 85.6373442, 79.4298407, 73.3066107, 67.3865153, 62.3733517, 57.5670705, 52.8525584, 48.1147021, 42.814798, 37.4307592, 32.0169088, 26.6275694, 21.2137341, 15.9743875, 11.0051847, 6.40178052, 2.66481611, -0.677034553, -3.69011116, -6.44075338, -9.31805307, -11.9364969, -14.2333237, -16.1457723, -18.0046911, -19.1962656, -19.5002906, -18.6965613, -14.805135, -10.0694394, -4.97316436, 0., 2.43860714, 4.5578262, 6.6450698, 8.98775053, 13.7147082, 18.5353573, 23.0005397, 26.6610969, 30.516409, 32.0893643, 30.3513891, 24.2739098, 20.4235486, 7.13845799, -19.6480136, -64.0025181, -95.4991373, -166.494121, -294.851148, -498.433899, -779.932084, -1202.73129, -1794.31537, -2616.52254, -3750.40353, -5165.80466, -6860.37338, -8831.75711},
226  {141.115714, 133.367348, 126.421904, 120.126861, 114.329698, 108.877894, 103.618928, 98.4002787, 93.0694261, 86.7633508, 80.3242294, 73.8837403, 67.5735619, 62.0407637, 56.6954766, 51.4632226, 46.2695237, 40.7635444, 35.2577072, 29.788077, 24.3907188, 19.0371946, 13.8538735, 8.90262193, 4.24530605, 0.146547664, -3.61564479, -7.06050731, -10.2072759, -13.3542189, -16.129927, -18.4420232, -20.1981307, -21.4287693, -21.8695065, -21.3788065, -19.8151337, -15.6761045, -10.7253702, -5.36573418, 0., 3.50355851, 6.79379651, 10.0540987, 13.4678499, 18.6941784, 23.8504278, 28.5296855, 32.3250388, 35.8049895, 37.1970445, 35.7041252, 30.5291532, 28.7802748, 18.5930966, -3.99155006, -42.9328337, -77.5911981, -146.364027, -263.049978, -441.44771, -683.076077, -1038.57315, -1535.11731, -2205.31111, -3099.48633, -4191.63378, -5474.82953, -6942.14962},
227  {103.940274, 109.246159, 112.100836, 112.786499, 111.585343, 108.779563, 104.651353, 99.482908, 93.556423, 87.4462621, 81.0255828, 74.4597118, 67.9139761, 62.0289608, 56.3046312, 50.7162112, 45.2389241, 39.780798, 34.4111305, 29.1320235, 23.945579, 18.7904806, 13.7576159, 8.87445415, 4.16846479, -0.307552597, -4.56159118, -8.57631379, -12.3343833, -16.2187059, -19.6516038, -22.4556421, -24.4533865, -25.0813324, -24.702543, -23.294012, -20.8327326, -16.4901945, -11.3710965, -5.77463332, 0., 4.75478168, 9.44887446, 14.1426142, 18.8963367, 25.0263267, 30.8345917, 35.8790878, 39.7177713, 41.4854709, 41.3325214, 38.9861302, 34.1735046, 36.3321689, 31.5948865, 15.8047379, -15.1951963, -53.3876082, -119.973336, -223.978989, -374.43118, -567.576215, -850.781612, -1259.91447, -1784.82538, -2422.06506, -3187.40028, -4091.7938, -5146.20839},
228  {119.696459, 121.904076, 122.249633, 120.94698, 118.209966, 114.25244, 109.288254, 103.531255, 97.1952948, 90.7420274, 84.0383753, 77.1990662, 70.3388277, 63.8365474, 57.4371289, 51.1496357, 44.9831315, 38.9566103, 33.0652331, 27.3140912, 21.708276, 16.2226188, 10.9045753, 5.77134083, 0.84011102, -3.93325859, -8.44569664, -12.6554717, -16.5208523, -20.3073567, -23.5431039, -26.0634625, -27.7038011, -27.8850365, -27.02277, -25.1181511, -22.1723292, -17.5689495, -12.1736673, -6.23463379, 0., 5.72320321, 11.4692564, 17.2135602, 22.9315156, 29.3276159, 35.3565322, 40.7020283, 45.0478681, 48.0136362, 49.3729471, 48.8352361, 46.1099386, 48.6623724, 45.3437374, 32.7611163, 7.52159136, -26.3360594, -82.6091273, -167.663208, -287.863898, -441.843924, -659.167485, -966.431705, -1346.42536, -1792.66723, -2299.56444, -2861.30205, -3472.06512},
229  {169.150239, 157.676836, 147.513519, 138.460033, 130.316123, 122.881534, 115.956011, 109.3393, 102.831146, 95.6550193, 88.4174499, 81.1486922, 73.8790011, 66.6745961, 59.5153815, 52.4172262, 45.3959992, 38.4031129, 31.5446755, 24.8623387, 18.3977542, 12.2411791, 6.36621736, 0.795078651, -4.45002757, -9.41572308, -13.9834346, -18.10342, -21.7259373, -24.9162069, -27.4635394, -29.2722079, -30.2464854, -30.1545278, -29.0911722, -27.0151386, -23.8851471, -18.9590206, -13.1767348, -6.77736834, 0., 6.50069279, 13.0674696, 19.6274911, 26.1079182, 32.5190318, 38.6716244, 44.4596088, 49.7768977, 55.8502074, 60.7075256, 63.7096435, 64.2173524, 64.9421617, 60.5538573, 49.0729433, 28.5199236, 5.13411772, -34.5703119, -95.8603875, -184.003131, -305.004472, -461.914711, -660.672514, -900.983227, -1205.90322, -1511.31808, -1774.90607, -1954.34547},
230  {157.588269, 149.87012, 142.397846, 135.138514, 128.05919, 121.126941, 114.308835, 107.571936, 100.883312, 94.184065, 87.4776118, 80.7414055, 73.952899, 66.9294522, 59.8726476, 52.8239751, 45.8249243, 38.9794848, 32.2416468, 25.6279002, 19.1547349, 12.7006072, 6.47525399, 0.550378712, -5.00231531, -9.89727766, -14.3621909, -18.4108905, -22.0572119, -25.8017927, -28.9769454, -31.4017847, -32.8954252, -32.8713233, -31.7165151, -29.4123786, -25.9402917, -20.6885535, -14.4688524, -7.49979804, 0., 7.57072875, 15.3314634, 23.1600759, 30.9344379, 38.6372245, 45.9995829, 52.8574638, 59.0468175, 64.5920658, 69.0652995, 72.2270807, 73.8379713, 76.5085846, 76.0094109, 70.9609919, 59.9838691, 45.5410236, 20.8735817, -16.934891, -70.8008287, -145.218014, -238.370836, -359.648158, -484.977861, -600.901629, -684.966921, -716.969752, -676.706137},
231  {170.100056, 162.077358, 154.716959, 147.843675, 141.282325, 134.857726, 128.394696, 121.718051, 114.652611, 106.038997, 97.0798998, 87.993815, 78.9992377, 71.0318317, 63.3060567, 55.7535409, 48.3059124, 40.5721135, 32.9355325, 25.4568718, 18.1968339, 11.2698263, 4.66136436, -1.58933151, -7.44304092, -12.8267762, -17.748591, -22.1827721, -26.1036058, -29.8062716, -32.815806, -34.9781382, -36.1391978, -35.7891867, -34.2720525, -31.5760155, -27.6892961, -22.1624404, -15.5964124, -8.15450233, 0., 8.75252273, 17.8715705, 27.174366, 36.478132, 45.3117409, 53.896106, 62.1637903, 70.0473565, 77.8136669, 84.9272654, 91.1869954, 96.3917, 101.4355, 104.58385, 105.197482, 102.63713, 95.6793504, 84.50272, 68.7016409, 47.8705152, 17.3576345, -10.504268, -36.2030578, -39.5162004, -13.1099957, 81.1941944, 273.863774, 595.366146},
232  {177.272638, 176.171898, 172.67048, 167.127495, 159.902055, 151.353269, 141.840249, 131.722107, 121.357952, 111.932907, 102.649669, 93.5369434, 84.6234388, 76.1690857, 67.8788777, 59.6890322, 51.5357667, 42.9013283, 34.3574928, 26.0220658, 18.0128529, 10.8353733, 4.06463329, -2.336647, -8.40574756, -14.5091726, -20.223288, -25.4536843, -30.1059515, -34.3111544, -37.6592191, -39.965546, -41.0455356, -40.0655795, -37.7496906, -34.1728732, -29.4101313, -23.5468726, -16.6435361, -8.77096437, 0., 10.1187145, 20.7860564, 31.7231031, 42.6509319, 52.6140477, 62.2807294, 71.6426832, 80.6916156, 89.0636486, 97.2483064, 105.379529, 113.591258, 122.654121, 131.810694, 140.94024, 149.922024, 154.37936, 160.149841, 168.815111, 181.956813, 197.339586, 227.99609, 274.768336, 359.778501, 504.715443, 711.721124, 987.824231, 1340.05345}
233  };
234 
235  /* Stuff for interpolating the NQC data */
236  gsl_spline *spline = NULL;
237  gsl_interp_accel *acc = NULL;
238  /* Interpolate the spin NQC data in 2-D parameter space -- spin and mass ratio */
239  /* First, interpolate in spin dimension for all mass ratios */
240  spline = gsl_spline_alloc( gsl_interp_cspline, adim );
241  acc = gsl_interp_accel_alloc();
242  for (i = 0; i < qdim; i++)
243  {
244  gsl_spline_init( spline, alist, a3stab[i], adim );
245  gsl_interp_accel_reset( acc );
246  a3slist[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
247  gsl_spline_init( spline, alist, a4tab[i], adim );
248  gsl_interp_accel_reset( acc );
249  a4list[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
250  gsl_spline_init( spline, alist, a5tab[i], adim );
251  gsl_interp_accel_reset( acc );
252  a5list[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
253  //printf("%.15f\n",a3slist[i]);
254  }
255  //printf("%.15f\n",a);
256  gsl_spline_free(spline);
257  gsl_interp_accel_free(acc);
258  /* Second, interpolate in mass ratio dimension */
259  spline = gsl_spline_alloc( gsl_interp_cspline, qdim );
260  acc = gsl_interp_accel_alloc();
261  gsl_spline_init( spline, etalist, a3slist, qdim );
262  gsl_interp_accel_reset( acc );
263  coeffs->a3S = gsl_spline_eval( spline, eta, acc );
264  gsl_spline_init( spline, etalist, a4list, qdim );
265  gsl_interp_accel_reset( acc );
266  coeffs->a4 = gsl_spline_eval( spline, eta, acc );
267  gsl_spline_init( spline, etalist, a5list, qdim );
268  gsl_interp_accel_reset( acc );
269  coeffs->a5 = gsl_spline_eval( spline, eta, acc );
270  gsl_spline_free(spline);
271  gsl_interp_accel_free(acc);
272 
273  /* Interpolate nonspin NQC data in the mass ratio dimension */
274  spline = gsl_spline_alloc( gsl_interp_cspline, nsqdim );
275  acc = gsl_interp_accel_alloc();
276  gsl_spline_init( spline, nsetalist, a1list, nsqdim );
277  gsl_interp_accel_reset( acc );
278  coeffs->a1 = gsl_spline_eval( spline, eta, acc );
279  gsl_spline_init( spline, nsetalist, a2list, nsqdim );
280  gsl_interp_accel_reset( acc );
281  coeffs->a2 = gsl_spline_eval( spline, eta, acc );
282  gsl_spline_init( spline, nsetalist, a3list, nsqdim );
283  gsl_interp_accel_reset( acc );
284  coeffs->a3 = gsl_spline_eval( spline, eta, acc );
285  gsl_spline_init( spline, nsetalist, b1list, nsqdim );
286  gsl_interp_accel_reset( acc );
287  coeffs->b1 = gsl_spline_eval( spline, eta, acc );
288  gsl_spline_init( spline, nsetalist, b2list, nsqdim );
289  gsl_interp_accel_reset( acc );
290  coeffs->b2 = gsl_spline_eval( spline, eta, acc );
291  gsl_spline_free(spline);
292  gsl_interp_accel_free(acc);
293  /* Andrea and I have different sign conventions, so I need to put a minus sign in front */
294  coeffs->b1 = - coeffs->b1;
295  coeffs->b2 = - coeffs->b2;
296 #if 0
297  coeffs->a1 = -8.02798637014;
298  coeffs->a2 = 48.7446843797;
299  coeffs->a3 = -45.7900277224;
300  coeffs->a3S= 0.;
301  coeffs->a4 = 0.;
302  coeffs->a5 = 0.;
303  coeffs->b1 = 0.834742923041;
304  coeffs->b2 = -2.33512320852; // q=1
305 #endif
306 #if 0
307  coeffs->a1 = -7.79667;
308  coeffs->a2 = 47.182;
309  coeffs->a3 = 2238.85334023;
310  coeffs->a3S= 0.;
311  coeffs->a4 = -7143.16738899;
312  coeffs->a5 = 5596.0086893;
313  coeffs->b1 = 0.85069;
314  coeffs->b2 = -2.47071; // q=1, chi1=chi2=0.98
315 #endif
316 #if 0
317  coeffs->a1 = -6.82562365707;
318  coeffs->a2 = 41.5711482044;
319  coeffs->a3 = -39.4329799959;
320  coeffs->a3S= 0.;
321  coeffs->a4 = 0.;
322  coeffs->a5 = 0.;
323  coeffs->b1 = 0.461925688819;
324  coeffs->b2 = -1.38733263299; // q=8
325 #endif
326 #if 0
327  coeffs->a1 = -7.5758;
328  coeffs->a2 = 46.9323;
329  coeffs->a3 = -118.368375152;
330  //coeffs->a3 = -45.0036; // NS part
331  coeffs->a3S= 0.;
332  coeffs->a4 = 125.555824111;
333  coeffs->a5 = -22.0751068073;
334  //coeffs->a4 = 0.;
335  //coeffs->a5 = 0.;
336  coeffs->b1 = 0.51305;
337  coeffs->b2 = -1.55133; // q=8, chi1=0.5
338 #endif
339 
340  /* Obsolete polynomial fitting of nonspin NQC coefficients a1, a2, a3, b1 and b2 */
341  /*
342  coeffs->a1 = -12.67955358602124 + 75.41927959573084 * eta - 106.15933052937714 * eta2;
343  coeffs->a2 = 101.45522216901628 - 757.3158549733314 * eta + 1473.314771676588 * eta2;
344  coeffs->a3 = -107.6647834845902 + 857.6219519536213 * eta - 1776.2776804623143 * eta2;
345  // Andrea and I have different sign conventions, so I need to put a minus sign in front
346  coeffs->b1 = - (-1.464129495621165 + 12.81732978488213 * eta - 60.09957767247623 * eta2);
347  coeffs->b2 = - ( 7.477426352542122 - 85.26122117590637 * eta + 353.3251639728075 * eta2);
348  */
349 
350  return XLAL_SUCCESS;
351 
352 }
353 
354 /**
355  * Function to interpolate known amplitude NQC coeffcients of spin terms for SEOBNRv2,
356  * namely a3s, a4 and a5.
357  * The a3s, a4 and a5 values were calculated for
358  * 11 mass ratios q=1,1.5,2,4,6,8,10,11,12,14 and 20, and
359  * 19 spin (\f$\chi\f$ defined in Taracchini et al. PRD 86, 024011 (2012)) values
360  * chi = -1, -0.9, -0.8, ......, 0.3, 0.4, 0.5, 0.55, 0.6, 0.65.
361  * The calculation was done by Andrea Taracchini using a C++ code of the UMaryland group.
362  * In principle, these numbers can be automatically calculated iteratively by the LAL code.
363  * However, since such calcualtion increase the cost of each waveform generation by
364  * about an order of magnitude, we prepare these numbers in advance reduce cost.
365  * These number can be verified by confirming that
366  * the peak amplitude and frequency agree well with the NR-fits predicted values,
367  * and to get exact NR-fits predicted values, corrections on these numbers are ~1%.
368  */
369 UNUSED static int XLALSimIMRGetEOBCalibratedSpinNQCv2( EOBNonQCCoeffs * restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a )
370 {
371  const unsigned int nsqdim = 101;
372  const unsigned int qdim = 21;
373  const unsigned int adim = 81;
374  UINT4 i;
375  /* REAL8 eta2 = eta*eta;*/
376  REAL8 a3slist[qdim], a4list[qdim], a5list[qdim];
377  REAL8 b3list[qdim], b4list[qdim];
378 
379  memset( coeffs, 0, sizeof( *coeffs ) );
380  const double nsetalist[101] = {0.021, 0.0233, 0.0256, 0.0279, 0.0302, 0.0324, 0.0347, 0.037, 0.0393, 0.0416, 0.0439, 0.0462, 0.0485, 0.0508, 0.0531, 0.0553, 0.0576, 0.0599, 0.0622, 0.0645, 0.0668, 0.0691, 0.0714, 0.0737, 0.076, 0.0782, 0.0805, 0.0828, 0.0851, 0.0874, 0.0897, 0.092, 0.0943, 0.0966, 0.0989, 0.1012, 0.1034, 0.1057, 0.108, 0.1103, 0.1126, 0.1149, 0.1172, 0.1195, 0.1218, 0.124, 0.1263, 0.1286, 0.1309, 0.1332, 0.1355, 0.1378, 0.1401, 0.1424, 0.1447, 0.147, 0.1492, 0.1515, 0.1538, 0.1561, 0.1584, 0.1607, 0.163, 0.1653, 0.1676, 0.1698, 0.1721, 0.1744, 0.1767, 0.179, 0.1813, 0.1836, 0.1859, 0.1882, 0.1905, 0.1927, 0.195, 0.1973, 0.1996, 0.2019, 0.2042, 0.2065, 0.2088, 0.2111, 0.2134, 0.2156, 0.2179, 0.2202, 0.2225, 0.2248, 0.2271, 0.2294, 0.2317, 0.234, 0.2363, 0.2385, 0.2408, 0.2431, 0.2454, 0.2477, 0.25};
381  const double etalist[21] = {0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25};
382  const double alist[81] = {-1., -0.975, -0.95, -0.925, -0.9, -0.875, -0.85, -0.825, -0.8, -0.775, -0.75, -0.725, -0.7, -0.675, -0.65, -0.625, -0.6, -0.575, -0.55, -0.525, -0.5, -0.475, -0.45, -0.425, -0.4, -0.375, -0.35, -0.325, -0.3, -0.275, -0.25, -0.225, -0.2, -0.175, -0.15, -0.125, -0.1, -0.075, -0.05, -0.025, 0., 0.025, 0.05, 0.075, 0.1, 0.125, 0.15, 0.175, 0.2, 0.225, 0.25, 0.275, 0.3, 0.325, 0.35, 0.375, 0.4, 0.425, 0.45, 0.475, 0.5, 0.525, 0.55, 0.575, 0.6, 0.625, 0.65, 0.675, 0.7, 0.725, 0.75, 0.775, 0.8, 0.825, 0.85, 0.875, 0.9, 0.925, 0.95, 0.975, 1.};
383 
384  const double a1list[101] = {-9.70365622284, -9.5487796595, -9.40705218072, -9.28242447497, -9.16287060127, -9.03811669547, -8.92394749379, -8.81661027414, -8.7095851328, -8.60723315388, -8.50836995352, -8.40985391052, -8.314500912, -8.22035943611, -8.12770592382, -8.03757606119, -7.94997595927, -7.86421160183, -7.77953168332, -7.69584399308, -7.61324344682, -7.53192249536, -7.45216063215, -7.37374612092, -7.29648777301, -7.22046897906, -7.14581213839, -7.07265232481, -7.00073270258, -6.92991647363, -6.85992514074, -6.79104613524, -6.72328769905, -6.65664446919, -6.59158891131, -6.52783781218, -6.4667874811, -6.41088676175, -6.35876275395, -6.3073217784, -6.25613493225, -6.20587481079, -6.15851113649, -6.1141742151, -6.07327317284, -6.03621329966, -6.0001893395, -5.96655531812, -5.93844433597, -5.91027864135, -5.88037825648, -5.85358373242, -5.83336708498, -5.82744285781, -5.82818819089, -5.8231589417, -5.81812839946, -5.81887431779, -5.82568678472, -5.83621354379, -5.84931204972, -5.86442954488, -5.88109070102, -5.89755497618, -5.91392008194, -5.93177097875, -5.95199881766, -5.97697408745, -6.00401909417, -6.032531535, -6.06148086596, -6.09023163793, -6.11920032326, -6.14820900838, -6.17641365359, -6.20357599269, -6.23098735047, -6.25903214508, -6.28832401322, -6.32033354968, -6.35344345473, -6.38745961465, -6.42231976572, -6.46800466293, -6.50219865357, -6.52990506622, -6.54965342702, -6.58271099648, -6.626558215, -6.67664802777, -6.72810147477, -6.77989789496, -6.83928403282, -6.91446932169, -6.99994425628, -7.08201636107, -7.21472596367, -7.36827339046, -7.55475356656, -7.81665470799, -8.24936799702};
385 
386  const double a2list[101] = {71.8355837876, 70.2888163877, 68.858392382, 67.578368761, 66.3483263783, 65.0816770892, 63.9139561883, 62.8042133759, 61.7074812267, 60.6519669001, 59.6324792699, 58.6222094978, 57.6434687679, 56.6791933949, 55.7311388293, 54.8071777364, 53.9062860992, 53.0218701557, 52.1495389357, 51.2895492368, 50.4445863927, 49.6138840037, 48.797074544, 47.9943062521, 47.2056828988, 46.4310888273, 45.6708900349, 44.9258152616, 44.1929201091, 43.4702452949, 42.7537119379, 42.0477065689, 41.3531483593, 40.6709264131, 40.0029858455, 39.3453826346, 38.7105183605, 38.119829408, 37.5632095631, 37.0166865581, 36.4716876499, 35.9345595307, 35.4276417334, 34.9454114602, 34.4897359229, 34.0666726398, 33.6585411373, 33.268152249, 32.9062444867, 32.5494651377, 32.1932422911, 31.8674681969, 31.598287958, 31.4450951286, 31.3504698588, 31.2224679676, 31.1007751184, 31.0231242897, 30.991643584, 30.991534397, 31.0161048282, 31.0616750366, 31.1249606145, 31.1939358163, 31.2696363303, 31.3636652679, 31.4828878696, 31.6456708233, 31.8311325739, 32.034527166, 32.2477681231, 32.4658509298, 32.6919766483, 32.9247097971, 33.1580140019, 33.3900369294, 33.6294910387, 33.8788248397, 34.1421252583, 34.4296046145, 34.7294034713, 35.0398350888, 35.3602204133, 35.7665471711, 36.0881399675, 36.3632831298, 36.5789495976, 36.9023316975, 37.3120873104, 37.7708043813, 38.2382659746, 38.7083475975, 39.2358324951, 39.8798584792, 40.5947669891, 41.2766466634, 42.3250573144, 43.5282809602, 44.9693438982, 46.9606371658, 50.0808316558};
387 
388  const double a3list[101] = {-75.3870348213, -73.5563054743, -71.8586610238, -70.3326010764, -68.8669937325, -67.3652081804, -65.9797869993, -64.6591310991, -63.3595036445, -62.1068621881, -60.8985027736, -59.7042086628, -58.5479728539, -57.4103808438, -56.2930281651, -55.2041741738, -54.1420295685, -53.0987898958, -52.0706872299, -51.0586173069, -50.0667002046, -49.0926497207, -48.1344431455, -47.1933388413, -46.2704158358, -45.3650449971, -44.4772042283, -43.6074103996, -42.7520134632, -41.9084025308, -41.0711187682, -40.2460776811, -39.4347613879, -38.6386667672, -37.8587722914, -37.0898368809, -36.3458764907, -35.6510020946, -34.9947343733, -34.3515708492, -33.7091654129, -33.0750000728, -32.4772646605, -31.9060849394, -31.3624600752, -30.8542478078, -30.364610911, -29.8930785724, -29.4449207659, -29.0043606667, -28.5703691139, -28.171109369, -27.8341554058, -27.6229720264, -27.4766951091, -27.2985750163, -27.1291617273, -27.0061494789, -26.9317625784, -26.8914625991, -26.8788122164, -26.8902006455, -26.9223881792, -26.9631792328, -27.013848345, -27.0865681299, -27.1887211003, -27.3400465839, -27.5181167553, -27.7178394005, -27.9305187037, -28.1507835284, -28.3821145422, -28.6229907203, -28.8672132002, -29.1128371338, -29.36865915, -29.6371071707, -29.922311561, -30.2347674515, -30.5620356831, -30.9022473284, -31.254609498, -31.7001465622, -32.0565827322, -32.3648712883, -32.6103616483, -32.9736989432, -33.4312219324, -33.9418551023, -34.4614297518, -34.9838283376, -35.5674613231, -36.2737268484, -37.0519888454, -37.7923554764, -38.9140097, -40.1981922876, -41.7294871636, -43.8332602049, -47.0600574352};
389 
390  const double b1list[101] = {-0.454231789035, -0.453740895324, -0.45114951071, -0.445455559729, -0.44030174389, -0.438246415293, -0.435617386371, -0.430628416274, -0.428155263233, -0.424563996869, -0.421496742404, -0.419542314684, -0.417786543725, -0.416452769889, -0.415181542102, -0.413649756645, -0.411562161412, -0.408719678496, -0.40593475615, -0.403713197659, -0.402947057134, -0.402692696086, -0.401882254635, -0.401361543256, -0.401857592043, -0.403135870926, -0.405023096371, -0.407445456424, -0.410163626113, -0.412943367674, -0.415232607237, -0.417748668538, -0.420844132902, -0.424905043844, -0.429142196414, -0.432959586521, -0.436617400517, -0.440401062979, -0.445048680123, -0.451651705843, -0.457760235328, -0.463733230566, -0.472390233324, -0.480892678638, -0.488468389259, -0.496054924285, -0.505287254412, -0.516712248163, -0.530702320051, -0.543402030632, -0.553376187444, -0.564523083803, -0.576716924164, -0.588673429838, -0.599807622576, -0.6083625871, -0.61629220663, -0.626333930393, -0.638492384934, -0.651370663496, -0.663578126675, -0.675399039036, -0.687337552218, -0.699811934302, -0.712809946825, -0.725971047683, -0.73913751946, -0.752013364118, -0.764774460887, -0.777402692471, -0.789886995534, -0.802209798764, -0.814336203683, -0.826241102491, -0.837954892052, -0.849457493421, -0.860601375162, -0.871314573433, -0.881462999336, -0.890680302818, -0.899437045192, -0.907818061982, -0.915897388877, -0.92305068548, -0.931064125926, -0.939248450894, -0.947470287824, -0.953643840407, -0.957725818058, -0.959847025364, -0.960115447844, -0.959051577361, -0.957073291984, -0.952866371063, -0.945294863841, -0.937774627549, -0.921959850725, -0.901024675728, -0.87472187553, -0.834748962688, -0.733155709571};
391 
392  const double b2list[101] = {1.24250927283, 1.23820882351, 1.22814744033, 1.20899501569, 1.19187482987, 1.18459068292, 1.17544439367, 1.16014645984, 1.15217431136, 1.14122006693, 1.13199616785, 1.12640121441, 1.121556275, 1.11826795578, 1.11552355075, 1.11238433978, 1.10807035787, 1.10209548232, 1.09668053255, 1.09318287767, 1.09397420715, 1.09653673342, 1.09802015935, 1.10068222122, 1.10643573897, 1.11470254998, 1.12510511039, 1.13755406941, 1.15120517214, 1.16532741744, 1.17824955526, 1.19205557182, 1.20770493667, 1.22624497606, 1.24563734056, 1.26435121321, 1.28310293005, 1.30265970794, 1.32505082997, 1.35327207812, 1.38087484583, 1.40864740792, 1.44367567593, 1.47847338398, 1.51107248182, 1.54412932876, 1.58210883511, 1.62865620041, 1.68826303807, 1.74233039828, 1.78373725125, 1.82868267503, 1.87681370736, 1.92312517747, 1.9656186804, 1.99785596132, 2.02740592217, 2.06495795508, 2.11055684374, 2.15878076242, 2.20440433139, 2.24836632819, 2.29241478185, 2.33795222667, 2.38484419984, 2.43171272272, 2.47786827853, 2.52194361567, 2.56488422632, 2.60668479559, 2.6474159293, 2.6870781889, 2.72548564593, 2.76255774767, 2.79845498187, 2.83311863463, 2.86593650322, 2.89662455284, 2.9246508029, 2.94855630091, 2.97022227107, 2.98999047671, 3.00814380105, 3.02093394891, 3.03817745817, 3.05662290422, 3.07635559396, 3.08574133623, 3.0854061584, 3.07702110074, 3.06226203175, 3.04321477098, 3.01960302068, 2.98621442345, 2.94157099234, 2.89879486315, 2.82337825218, 2.72933462053, 2.61436316871, 2.4455062038, 2.1171325295};
393 
394  const double a3stab[21][81] = {
395  {194.034062, 193.315403, 192.340696, 191.108131, 189.615898, 187.862187, 185.845189, 183.563092, 181.014087, 178.196365, 175.108115, 171.747527, 168.112791, 164.202098, 159.88123, 155.232138, 150.346797, 145.250479, 139.968456, 134.526002, 128.948389, 123.451375, 117.843441, 112.123552, 106.290673, 100.343771, 94.2818106, 88.0767764, 81.7047066, 75.2290824, 68.6598248, 62.0068545, 55.2800926, 48.4894598, 41.7952745, 35.1123156, 28.3439776, 21.4694187, 14.4677972, 7.31827158, 0, -7.06413602, -14.3999825, -22.0896625, -30.2152987, -38.8590141, -48.1029316, -57.9430959, -68.3884858, -79.7270473, -92.0758537, -105.551978, -120.272495, -136.354477, -161.225662, -190.378371, -218.751539, -244.966902, -267.646199, -285.411167, -296.883542, -310.354742, -328.37036, -319.492152, -252.281869, 29.4084482, 249.400555, 588.783155, 1228.64495, 2363.34086, 4134.16095, 7287.44826, 10172.0754, 11510.5972, 12299.3266, 12652.4652, 12433.2947, 11460.0626, 9982.07373, 8101.6811, 5921.23755},
396  {160.112548, 160.667985, 160.855096, 160.683878, 160.164332, 159.306454, 158.120244, 156.615701, 154.802822, 152.691607, 150.292055, 147.614163, 144.66793, 141.463355, 137.974809, 134.234829, 130.278648, 126.123553, 121.786828, 117.285761, 112.637636, 107.962912, 103.161454, 98.2362991, 93.1904845, 88.0270475, 82.7490251, 77.3472032, 71.8142083, 66.1823723, 60.4597069, 54.6542236, 48.7739343, 42.8268505, 36.9526253, 31.0759936, 25.1117255, 19.0409065, 12.8446223, 6.50395828, 0, -6.31861818, -12.8891206, -19.7811827, -27.06448, -34.8086881, -43.0834823, -52.0954881, -62.0307527, -72.6314885, -83.9117648, -95.8856513, -108.567217, -121.970532, -144.794469, -171.559059, -196.126931, -216.73575, -231.62318, -239.026886, -237.184533, -230.598764, -228.655499, -197.207571, -102.107815, 154.463951, 449.595197, 893.840096, 1597.75282, 2688.58018, 4226.79843, 6614.56539, 8915.92748, 10410.9574, 11588.5513, 12442.7012, 12813.2517, 12518.0513, 11617.0807, 10087.775, 7907.56954},
397  {135.75872, 136.138893, 136.299307, 136.238612, 135.955459, 135.448498, 134.71638, 133.757755, 132.571273, 131.155584, 129.50934, 127.63119, 125.519785, 123.173775, 120.539911, 117.649675, 114.538477, 111.215586, 107.690265, 103.971782, 100.069403, 95.9633653, 91.6959723, 87.2804996, 82.7302224, 78.058416, 73.2783556, 68.4234731, 63.5241716, 58.5455294, 53.4926375, 48.3705869, 43.1844686, 37.9393735, 32.7564707, 27.5674199, 22.2950938, 16.9208406, 11.4260085, 5.79194558, 0, -5.65721456, -11.5526034, -17.7478063, -24.304463, -31.2842132, -38.7486967, -47.177716, -56.9882396, -67.2420324, -77.8309468, -88.646835, -99.5815494, -110.526942, -130.898858, -154.564236, -174.669094, -189.157228, -195.972438, -193.058522, -178.359277, -95.540229, -64.7497577, -36.3204737, 39.4150121, 182.864142, 515.868654, 1052.98428, 1808.76676, 2783.21579, 4034.5552, 5797.96238, 7575.84812, 8998.68735, 10279.6823, 11358.5028, 12072.546, 12243.6693, 11858.1609, 10846.2528, 9138.17686},
398  {117.594822, 118.216324, 118.587481, 118.713031, 118.597712, 118.24626, 117.663414, 116.853912, 115.822491, 114.573888, 113.112843, 111.444091, 109.572371, 107.502421, 105.228449, 102.761854, 100.114831, 97.2942708, 94.3070652, 91.1601054, 87.8602826, 84.4097412, 80.820775, 77.1009309, 73.2577557, 69.2987964, 65.2315998, 61.0732898, 56.8395514, 52.5150315, 48.1033884, 43.6082803, 39.0333656, 34.3823025, 29.7493628, 25.0808824, 20.3163379, 15.4408534, 10.439553, 5.29756047, 0, -5.35071899, -10.9029559, -16.6877846, -22.736279, -29.0795131, -35.7485608, -43.2877245, -52.1641879, -61.1818369, -70.1633582, -78.9314385, -87.3087643, -95.1180224, -113.214171, -134.440841, -150.806571, -159.877486, -159.219713, -146.399379, -118.982611, -70.3022292, -22.0562145, 53.8038232, 185.326274, 404.156778, 729.470528, 1193.63258, 1829.00799, 2680.16117, 3742.85913, 5113.35478, 6506.86997, 7696.20069, 8895.67902, 10040.8571, 10932.5801, 11339.6312, 11293.7482, 10737.025, 9611.55528},
399  {104.536193, 105.151992, 105.52303, 105.656338, 105.558946, 105.237884, 104.700185, 103.952877, 103.002992, 101.85756, 100.523612, 99.0081792, 97.3182909, 95.4609783, 93.4570201, 91.3047497, 89.00146, 86.5513695, 83.9586968, 81.2276605, 78.362479, 75.3512364, 72.216514, 68.9647586, 65.6024172, 62.1359365, 58.5717633, 54.9331837, 51.2409534, 47.4612548, 43.5936975, 39.637891, 35.593445, 31.4599689, 27.2943493, 23.0599623, 18.715848, 14.2499006, 9.65001414, 4.90408258, 0, -5.02324517, -10.2359098, -15.6571562, -21.306147, -27.2020446, -33.3640114, -40.5534775, -49.4203385, -58.20891, -66.6369699, -74.4222961, -81.2826666, -86.9358592, -101.298089, -117.635564, -128.44252, -131.350726, -123.991956, -103.997981, -69.0005725, -33.6912932, 21.7514718, 116.165345, 268.387948, 496.490784, 821.201233, 1260.43758, 1832.11811, 2569.02123, 3444.48487, 4457.74625, 5529.91911, 6593.29966, 7712.26975, 8816.62971, 9754.9376, 10360.7413, 10608.8717, 10425.9949, 9738.77691},
400  {96.9661604, 97.1499366, 97.1688322, 97.0244892, 96.7185494, 96.2526546, 95.6284466, 94.8475673, 93.9116586, 92.8223622, 91.58132, 90.190174, 88.6505658, 86.9641373, 85.1097322, 83.1034146, 80.9629742, 78.6947161, 76.3049452, 73.7999668, 71.1860856, 68.4994692, 65.712436, 62.8271668, 59.8458427, 56.7706443, 53.6037525, 50.3545028, 47.0311555, 43.6187841, 40.1166645, 36.5240723, 32.8402837, 29.0645742, 25.2349668, 21.3262257, 17.3101827, 13.178188, 8.92159236, 4.53174618, 0, -4.6801893, -9.51986849, -14.5279779, -19.713458, -25.0852492, -30.6522918, -37.2783443, -45.6987185, -53.8783872, -61.4792071, -68.1630351, -73.591728, -77.4271424, -90.8801985, -106.306773, -115.188531, -114.825063, -102.515961, -75.5608158, -31.2592188, 33.1149764, 110.137717, 217.631759, 373.41986, 572.166076, 888.81781, 1313.4076, 1835.96799, 2443.46734, 3135.13071, 3899.77877, 4762.59709, 5753.91388, 6767.53656, 7738.27797, 8606.45078, 9341.27386, 9790.84147, 9844.54054, 9391.75801},
401  {91.9984129, 92.0724899, 91.9723426, 91.7032712, 91.2705759, 90.6795572, 89.9355152, 89.0437503, 88.0095627, 86.8382527, 85.5351205, 84.1054666, 82.554591, 80.8877943, 79.1289793, 77.2716783, 75.3080151, 73.2394849, 71.067583, 68.7938044, 66.4196446, 63.9380846, 61.3603095, 58.6889905, 55.9267986, 53.0764049, 50.1404805, 47.134602, 44.0724069, 40.9257076, 37.6919349, 34.3685201, 30.9528939, 27.4424876, 23.8547107, 20.1743557, 16.3847026, 12.479096, 8.45088037, 4.29340019, 0, -4.52502743, -9.18698719, -13.9802361, -18.899131, -23.9380288, -29.0912862, -35.37357, -43.6462329, -51.4639546, -58.4068133, -64.0548872, -67.9882546, -69.7869938, -79.8850741, -90.9963626, -95.0131348, -89.2953953, -71.2031485, -38.096399, 12.6648486, 60.4616544, 143.801577, 269.670606, 445.05473, 673.029945, 970.22686, 1338.93951, 1781.46194, 2307.71228, 2897.11226, 3505.21395, 4196.11738, 5020.27394, 5911.38909, 6815.19861, 7663.7143, 8405.30481, 8936.63545, 9171.99775, 9025.68322},
402  {88.7697502, 88.7243429, 88.5229502, 88.1697385, 87.668874, 87.0245232, 86.2408524, 85.322028, 84.2722164, 83.0955839, 81.796297, 80.378522, 78.8464252, 77.2041731, 75.4608637, 73.6175437, 71.6748862, 69.6360488, 67.504189, 65.2824646, 62.9740331, 60.5905035, 58.1254149, 55.5807576, 52.9585221, 50.2606987, 47.4892778, 44.6635083, 41.8000455, 38.8596132, 35.8371944, 32.7277721, 29.5263291, 26.2278486, 22.8396849, 19.3489948, 15.7419984, 12.0111483, 8.14889689, 4.14769663, 0, -4.57373064, -9.27148902, -14.063259, -18.9190244, -23.8087691, -28.7024769, -34.6285481, -42.4563432, -49.6250515, -55.6749058, -60.1461388, -62.5789832, -62.5136718, -69.857389, -77.5921962, -77.915422, -68.2468249, -46.0061634, -8.61319596, 46.512319, 98.1593023, 187.472996, 318.664443, 495.944685, 718.350267, 1002.85596, 1347.46346, 1750.17445, 2217.72359, 2721.91372, 3194.0735, 3742.39868, 4446.91421, 5256.03088, 6117.02483, 6949.94367, 7676.88355, 8238.97487, 8570.85908, 8607.17759},
403  {86.991682, 86.9009299, 86.6584244, 86.2679651, 85.7333516, 85.0583835, 84.2468603, 83.3025818, 82.2293474, 81.0309567, 79.7112095, 78.2739051, 76.7228433, 75.0618236, 73.2860615, 71.4047868, 69.4278794, 67.3608948, 65.2093882, 62.9789152, 60.6750311, 58.3371277, 55.932251, 53.4612835, 50.9251075, 48.3246055, 45.6606599, 42.952423, 40.2163017, 37.4094932, 34.5254615, 31.5576709, 28.4995856, 25.3446698, 22.0706172, 18.6808685, 15.1800581, 11.5648762, 7.83201255, 3.97815717, 0, -4.44925282, -8.98199005, -13.5540843, -18.121408, -22.639834, -27.0652346, -32.4829047, -39.8084298, -46.2971051, -51.4462215, -54.7530699, -55.7149412, -53.8291262, -58.6640354, -63.3459328, -60.2387428, -46.7797921, -20.4064072, 21.4440851, 81.3343584, 146.856546, 244.47561, 378.327141, 552.546728, 759.30391, 1032.25046, 1361.16283, 1735.81745, 2148.15637, 2581.45923, 2984.80058, 3447.78767, 4035.66729, 4736.79845, 5514.39717, 6296.19014, 7018.13887, 7618.75482, 8035.68015, 8206.55699},
404  {87.4052431, 87.2488223, 86.9362164, 86.4718191, 85.8600238, 85.1052242, 84.2118138, 83.184186, 82.0267346, 80.7438529, 79.3399346, 77.8193732, 76.1865622, 74.4458952, 72.5913588, 70.6339301, 68.5853738, 66.4522119, 64.2409669, 61.9581608, 59.6103158, 57.2444895, 54.8210706, 52.3409829, 49.8051505, 47.2144972, 44.5699471, 41.8924106, 39.199795, 36.4452343, 33.6215372, 30.7215125, 27.737969, 24.6637155, 21.4396148, 18.0913369, 14.648484, 11.1144899, 7.49278858, 3.78681398, 0, -4.20404561, -8.43513042, -12.6428882, -16.7769527, -20.7869576, -24.6225368, -29.4472857, -36.2423878, -42.0547553, -46.3411145, -48.5581916, -48.162713, -44.6114048, -47.2420788, -49.2606505, -43.1250808, -26.2710014, 3.86595568, 49.8501587, 114.245976, 188.587294, 293.492819, 432.021615, 607.232747, 806.962399, 1071.81931, 1386.59523, 1736.08191, 2100.7761, 2478.35461, 2845.05278, 3255.50918, 3749.4546, 4345.50524, 5025.01448, 5735.30498, 6443.8395, 7071.55114, 7555.23546, 7831.68799},
405  {90.6686478, 90.338945, 89.8498427, 89.2065534, 88.4142895, 87.4782634, 86.4036875, 85.1957743, 83.8597362, 82.4007857, 80.8241351, 79.1349969, 77.3385836, 75.4401075, 73.4416099, 71.3503094, 69.1736645, 66.9175363, 64.5877858, 62.1902741, 59.7308624, 57.2362237, 54.6885327, 52.0907763, 49.445941, 46.7570139, 44.0269815, 41.2851226, 38.5567652, 35.7820291, 32.9532257, 30.0626665, 27.1026627, 24.0655259, 20.8727666, 17.5614852, 14.1741411, 10.7175274, 7.19843724, 3.62366374, 0, -4.06090718, -8.10254597, -12.0635508, -15.8825563, -19.4981968, -22.8491068, -27.132479, -33.3563927, -38.4501259, -41.8412979, -42.9575283, -41.2264364, -36.0756416, -36.4842853, -35.8376593, -26.798047, -6.83938301, 26.5643983, 75.9393624, 143.811575, 212.08357, 319.941909, 466.480743, 650.794218, 862.613943, 1124.12827, 1423.1964, 1747.67751, 2084.00816, 2424.31545, 2731.24107, 3082.92956, 3537.96935, 4077.76369, 4684.63584, 5326.20908, 5987.9228, 6598.65193, 7106.5548, 7459.78976},
406  {95.4194996, 94.9744199, 94.3458563, 93.5410786, 92.5673567, 91.4319604, 90.1421596, 88.7052241, 87.1284237, 85.4190283, 83.5843078, 81.6315319, 79.5679705, 77.4008935, 75.1326394, 72.7735975, 70.3345307, 67.8237172, 65.2494357, 62.6199646, 59.9435824, 57.2613442, 54.5442252, 51.7959772, 49.020352, 46.2211015, 43.4019773, 40.5995521, 37.8454667, 35.0649948, 32.2485619, 29.3865936, 26.4695154, 23.4877529, 20.3632018, 17.1296398, 13.8260322, 10.4568216, 7.02645092, 3.53936279, 0, -4.2462037, -8.44478288, -12.5002812, -16.3172421, -19.8002093, -22.8537263, -26.6855879, -32.3077596, -36.5085628, -38.6633793, -38.1475908, -34.3365791, -26.605726, -22.9025218, -17.179601, -2.74072752, 22.792071, 61.7967668, 116.651332, 189.733739, 263.596099, 376.57103, 526.669187, 711.901228, 926.647159, 1177.87322, 1459.23331, 1764.38136, 2097.49779, 2420.65693, 2632.95065, 2903.44544, 3359.22954, 3869.45585, 4404.85502, 4965.83074, 5566.44504, 6136.45351, 6634.35268, 7018.6391},
407  {101.846145, 101.147731, 100.262496, 99.1975513, 97.9600035, 96.5569615, 94.9955335, 93.2828279, 91.4259529, 89.432017, 87.3081284, 85.0613955, 82.6989265, 80.2278299, 77.6380801, 74.9476243, 72.1757068, 69.3329406, 66.4299384, 63.4773132, 60.485678, 57.4779833, 54.4508003, 51.4130383, 48.3736061, 45.3414129, 42.3253675, 39.3907795, 36.5944834, 33.8105285, 31.0249232, 28.2236762, 25.3927962, 22.5182917, 19.4346176, 16.2236559, 12.9787608, 9.7169399, 6.45520101, 3.21055181, 0, -3.68378724, -7.22704665, -10.5403555, -13.5342911, -16.1194306, -18.2063515, -21.0997824, -25.8949643, -29.1688988, -30.2660929, -28.5310535, -23.3082876, -13.9423019, -8.20238269, -0.103490751, 16.9771316, 45.4181963, 87.5984154, 145.896501, 222.691165, 302.797812, 421.032832, 575.026689, 762.409844, 975.885659, 1225.23808, 1502.1851, 1798.44471, 2114.12912, 2415.77363, 2618.3873, 2857.47376, 3230.62205, 3675.97438, 4169.32865, 4684.71809, 5189.26697, 5679.50007, 6141.91923, 6563.02631},
408  {109.957867, 108.923771, 107.696307, 106.283107, 104.691802, 102.930024, 101.005405, 98.9255759, 96.6981698, 94.330818, 91.8311523, 89.2068045, 86.4654063, 83.6145897, 80.6454548, 77.5760913, 74.4258405, 71.2057155, 67.9267295, 64.5998959, 61.2362277, 57.7997181, 54.3548943, 50.9192633, 47.510332, 44.1456075, 40.8425968, 37.7092791, 34.8400388, 32.036054, 29.278097, 26.5469404, 23.8233566, 21.088118, 18.1070639, 14.9969343, 11.8907385, 8.81321199, 5.78908988, 2.84310746, 0, -3.28293647, -6.33516022, -9.05356875, -11.3350596, -13.0765301, -14.174878, -16.0101729, -19.7396202, -21.7136831, -21.2270435, -17.5743834, -10.0503846, 2.05027093, 12.7196716, 26.9099491, 50.0813972, 84.3124696, 131.68162, 194.267302, 274.14797, 350.227635, 466.768801, 620.509952, 808.189573, 1022.38726, 1270.10006, 1543.07583, 1833.06243, 2139.56356, 2431.05959, 2635.46524, 2856.25309, 3163.22021, 3542.38549, 3979.04626, 4441.16822, 4893.91506, 5330.99006, 5736.36707, 6094.01992},
409  {119.074672, 117.759823, 116.217882, 114.459582, 112.495658, 110.336844, 107.993873, 105.477481, 102.7984, 99.9673644, 96.9951093, 93.8923682, 90.6698751, 87.3383642, 83.9063765, 80.3860334, 76.7896223, 73.1283257, 69.4133263, 65.6558067, 61.8669495, 57.9512264, 54.0412684, 50.1629958, 46.3423287, 42.6051873, 38.9774916, 35.5978285, 32.587855, 29.7040929, 26.9267158, 24.2358979, 21.6118129, 19.0346348, 16.2844216, 13.4679411, 10.7071094, 8.02303235, 5.43681598, 2.96956625, 0.642389138, -2.31001716, -4.9715306, -7.21243689, -8.90302176, -9.91357094, -10.1143701, -10.8729696, -13.3319374, -13.7814292, -11.4837931, -5.70137737, 4.30346968, 19.2683999, 34.8047905, 54.8931933, 83.9021962, 123.617988, 175.826758, 242.314694, 324.867985, 399.313533, 514.196004, 666.062089, 851.458481, 1063.45811, 1307.17626, 1574.99112, 1859.28093, 2159.87331, 2446.79825, 2659.00754, 2872.53587, 3134.43182, 3455.95783, 3831.93732, 4236.88674, 4657.31296, 5052.06814, 5389.4322, 5637.68509},
410  {128.495326, 127.074107, 125.349104, 123.337657, 121.057102, 118.524777, 115.758021, 112.77417, 109.590562, 106.224536, 102.693428, 99.0145773, 95.2053203, 91.2829951, 87.2836963, 83.2128958, 79.074646, 74.8824479, 70.6498026, 66.3902114, 62.1171752, 57.720481, 53.3544299, 49.049609, 44.836605, 40.746005, 36.8083958, 33.1657559, 29.9433259, 26.9053427, 24.0371649, 21.3241507, 18.7516587, 16.305047, 13.8190975, 11.3744239, 9.06303794, 6.90109728, 4.90475952, 3.09018229, 1.4735232, -0.793048375, -2.71006388, -4.14204299, -4.95350539, -5.00897077, -4.17295882, -3.71878542, -4.70807799, -3.63676357, 0.202654687, 7.51767362, 19.0157901, 35.4045009, 51.4404702, 71.5957135, 100.792698, 140.956113, 194.010651, 261.881001, 346.491854, 436.641211, 558.397569, 710.286632, 890.834104, 1091.36933, 1328.16899, 1591.12322, 1870.12216, 2157.70833, 2435.81478, 2673.27241, 2895.86752, 3111.89571, 3385.10739, 3718.32051, 4076.70075, 4436.6436, 4767.2776, 5040.20866, 5227.04271},
411  {138.900398, 137.337422, 135.391602, 133.087098, 130.44807, 127.498678, 124.263082, 120.765443, 117.02992, 113.080674, 108.941865, 104.637653, 100.192198, 95.6296595, 91.0129641, 86.3417484, 81.6127149, 76.8420946, 72.0461186, 67.2410178, 62.4430231, 57.528747, 52.6733214, 47.9122593, 43.2810742, 38.8152792, 34.5503876, 30.751528, 27.6493265, 24.73026, 21.9366103, 19.2106597, 16.49469, 13.7309833, 9.83315317, 5.39422106, 1.08507419, -2.94159973, -6.533113, -9.53677793, -11.7999068, -12.1167774, -11.5331679, -10.0418217, -7.63548268, -4.30689424, -0.0488000308, 3.44288832, 4.72818055, 7.88680239, 13.6175512, 22.6192243, 35.5906192, 53.2305331, 70.1560327, 90.9132406, 120.508639, 160.884993, 213.985069, 281.75163, 366.127442, 463.170325, 585.968126, 734.458352, 908.578505, 1100.01084, 1329.05576, 1585.74455, 1860.10848, 2144.0068, 2421.9869, 2675.82075, 2901.51559, 3083.49661, 3307.1074, 3583.65042, 3885.38171, 4198.36692, 4492.47968, 4743.11362, 4925.66238},
412  {150.492141, 148.740377, 146.534433, 143.904424, 140.880463, 137.492664, 133.771141, 129.746008, 125.447379, 120.905368, 116.150089, 111.211655, 106.120181, 100.905781, 95.6494103, 90.3490205, 84.9987135, 79.6182038, 74.2272058, 68.8454341, 63.4926031, 58.0444393, 52.6845308, 47.4524779, 42.3878808, 37.5303397, 32.9194547, 28.9855324, 26.100171, 23.3687472, 20.672222, 17.8915564, 14.9077111, 11.601647, 5.59600934, -1.79962227, -9.10472355, -15.9764138, -22.0718122, -27.0480381, -30.5622108, -28.5501535, -24.904218, -19.7954601, -13.3949353, -5.87369959, 2.59719142, 9.71708841, 13.505339, 18.8829889, 26.5436657, 37.1809971, 51.4886108, 70.1601344, 88.6285408, 110.915367, 141.440359, 181.973167, 234.283443, 300.140838, 381.315003, 474.099497, 590.161596, 730.114744, 894.572384, 1077.6267, 1295.97687, 1542.41088, 1809.71674, 2095.08978, 2378.09595, 2639.604, 2862.82661, 3020.70131, 3195.47472, 3406.67752, 3645.53151, 3922.39098, 4199.38914, 4455.09829, 4668.09072},
413  {161.612584, 159.667115, 157.206125, 154.264113, 150.875577, 147.075014, 142.896922, 138.3758, 133.546144, 128.442453, 123.099225, 117.550958, 111.832149, 105.977296, 100.052322, 94.0718457, 88.0481062, 82.0091739, 75.9831191, 69.9980119, 64.0819226, 58.2016273, 52.4549554, 46.878442, 41.5086225, 36.3820321, 31.5352061, 27.2761023, 23.8718937, 20.7101138, 17.7170917, 14.8191564, 11.942637, 9.01386256, 4.4868292, -0.780730804, -5.81963604, -10.4024039, -14.3015518, -17.289597, -19.139057, -17.5768668, -14.7036351, -10.5743881, -5.24415237, 1.23204592, 8.79918041, 15.7981135, 20.8107444, 27.6176602, 36.8151553, 48.9995239, 64.7670605, 84.7140596, 104.239416, 127.227319, 157.955375, 198.082965, 249.269468, 313.174262, 391.456729, 487.744948, 599.674335, 730.018462, 881.550901, 1048.86479, 1254.91206, 1492.64982, 1755.03523, 2037.67667, 2325.57748, 2619.73529, 2861.71536, 2991.38112, 3129.50183, 3302.22954, 3496.20653, 3710.8285, 3933.98728, 4157.49651, 4373.16983},
414  {177.48227, 175.503869, 172.943216, 169.838793, 166.229083, 162.152567, 157.647727, 152.753046, 147.507005, 141.948087, 136.114773, 130.045546, 123.778887, 117.353279, 110.83074, 104.234863, 97.5874593, 90.9221961, 84.2727413, 77.6727629, 71.1559286, 64.7702854, 58.533136, 52.4761623, 46.6310463, 41.0294699, 35.7031149, 30.7482842, 26.2515706, 22.09014, 18.2694361, 14.7949029, 11.671984, 8.90612311, 6.4000957, 4.2242939, 2.45688145, 1.1243021, 0.252999572, -0.130582374, 0, 0.107665064, 0.86020865, 2.36190121, 4.71701321, 8.02981511, 12.4045774, 17.1481302, 21.687129, 28.0326146, 36.6126438, 47.8552734, 62.1885602, 80.0405611, 97.444392, 117.608365, 144.073471, 178.166715, 221.215102, 274.545638, 339.48533, 421.429031, 513.437617, 619.067665, 741.875754, 879.019633, 1049.83962, 1250.21376, 1476.0201, 1723.93173, 1987.44155, 2289.09571, 2536.59024, 2645.32769, 2757.98307, 2901.89402, 3057.58613, 3212.0205, 3373.22828, 3542.05763, 3719.35668},
415  {203.880451, 202.208214, 199.864409, 196.892449, 193.33575, 189.237727, 184.641796, 179.59137, 174.129866, 168.300697, 162.14728, 155.71303, 149.041361, 142.175688, 135.235082, 128.215097, 121.105564, 113.934421, 106.72961, 99.5190709, 92.3307445, 85.1683129, 78.087325, 71.1190715, 64.294843, 57.6459303, 51.2036241, 45.0011085, 39.0712832, 33.4409113, 28.1405147, 23.2006152, 18.6517348, 14.5243953, 10.9819919, 7.97099029, 5.42779827, 3.35575953, 1.75821776, 0.638516679, 0, -0.204729396, 0.0854206845, 0.880801607, 2.19176474, 4.02866144, 6.40184309, 8.80951187, 10.8268265, 13.6887456, 17.6135694, 22.8195984, 29.525133, 37.9484735, 47.1793729, 58.1500548, 71.8781689, 88.8128507, 109.403236, 134.098459, 163.347656, 184.145996, 219.852907, 270.187002, 334.866894, 420.243061, 509.675555, 610.841165, 731.41668, 883.008518, 1061.50458, 1288.88822, 1489.49727, 1597.87824, 1694.42859, 1798.16764, 1908.18382, 2037.43503, 2163.3321, 2275.40424, 2363.18065}
416  };
417 
418  const double a4tab[21][81] = {
419  {-631.969628, -629.931559, -626.93986, -622.993704, -618.092259, -612.234699, -605.420193, -597.647913, -588.91703, -579.226715, -568.576139, -556.964473, -544.390888, -530.854555, -515.846825, -499.688117, -482.737292, -465.097392, -446.871459, -428.162534, -409.073659, -390.431317, -371.515197, -352.328428, -332.874139, -313.155461, -293.175523, -272.835853, -252.053245, -231.073772, -209.941815, -188.701758, -167.397985, -146.074879, -125.285446, -104.752312, -84.159603, -63.4476689, -42.5568579, -21.4275187, 0, 20.492378, 41.5808063, 63.5035042, 86.4986913, 110.804587, 136.659411, 164.137905, 193.339377, 224.892938, 259.103185, 296.274714, 336.71212, 380.720002, 451.856144, 535.71509, 616.131221, 688.652886, 748.828432, 792.206209, 814.334565, 847.454547, 888.473551, 839.16961, 601.32076, -334.087968, -1051.99176, -2143.56025, -4199.96305, -7855.60243, -13571.9501, -23786.9485, -33106.7677, -37360.6537, -39761.0933, -40691.7902, -39750.1263, -36377.5393, -31425.5653, -25265.023, -18266.7309},
420  {-505.215416, -508.196276, -509.772603, -509.990387, -508.895619, -506.534288, -502.952385, -498.195899, -492.310822, -485.343142, -477.33885, -468.343937, -458.404391, -447.566204, -435.751584, -423.084826, -409.699594, -395.667196, -381.058941, -365.946138, -350.400093, -334.883419, -319.02208, -302.833344, -286.334476, -269.542745, -252.475417, -235.102086, -217.39951, -199.498947, -181.437021, -163.250356, -144.975574, -126.649301, -108.741298, -91.0141828, -73.197789, -55.240145, -37.0892796, -18.6932216, 0, 17.996917, 36.5393224, 55.8235696, 76.0460123, 97.4030037, 120.090898, 144.841731, 172.307048, 201.402322, 232.1064, 264.398133, 298.256369, 333.659957, 398.01185, 473.942308, 542.005708, 596.571523, 632.009229, 642.688299, 622.97821, 589.700061, 568.112915, 450.1228, 127.635743, -717.548639, -1675.26318, -3105.72753, -5369.16134, -8880.19603, -13835.8159, -21538.445, -28962.0227, -33785.1132, -37519.4657, -40137.7205, -41147.9007, -39965.1597, -36840.7475, -31740.8799, -24631.7726},
421  {-416.815775, -419.057598, -420.469505, -421.053329, -420.810899, -419.744046, -417.854601, -415.144394, -411.615257, -407.26902, -402.107514, -396.13257, -389.346018, -381.749689, -373.154365, -363.682735, -353.471949, -342.562916, -330.996543, -318.813739, -306.055411, -292.666119, -278.796426, -264.500547, -249.832696, -234.847087, -219.597935, -204.212585, -188.80739, -173.261705, -157.600052, -141.846951, -126.026926, -110.164496, -94.647616, -79.2708986, -63.8014475, -48.1894474, -32.385083, -16.3385389, 0, 15.8033661, 32.1194751, 49.1192595, 66.9736521, 85.8535854, 105.929992, 128.799096, 155.842954, 183.824465, 212.335847, 240.969319, 269.317099, 296.971406, 353.48309, 419.49243, 473.371969, 508.586135, 518.599357, 496.876061, 436.880677, 151.559476, 37.8684007, -64.67, -316.533178, -780.861526, -1858.22995, -3592.31237, -6026.7827, -9156.64679, -13171.5827, -18819.4885, -24531.9546, -29153.6948, -33275.8654, -36682.7175, -38862.2881, -39230.2155, -37787.9462, -34337.2185, -28679.7708},
422  {-352.810903, -355.83479, -357.93123, -359.12342, -359.43456, -358.887848, -357.506483, -355.313665, -352.332593, -348.586464, -344.098478, -338.891834, -332.989731, -326.415368, -319.156081, -311.257756, -302.768993, -293.720326, -284.14229, -274.065418, -263.520245, -252.52262, -241.11979, -229.344318, -217.228767, -204.805698, -192.107676, -179.198016, -166.135417, -152.8789, -139.44854, -125.864412, -112.14659, -98.3151495, -84.6689645, -71.0517401, -57.2860767, -43.3350226, -29.1616263, -14.728936, 0, 14.8074113, 30.0201505, 45.7103479, 61.9501343, 78.81164, 96.3669955, 116.389741, 140.39776, 164.394917, 187.762516, 209.881862, 230.134257, 247.901005, 297.350154, 355.856786, 398.16278, 416.534098, 403.236704, 350.53656, 250.699628, 81.0333436, -86.8683061, -342.335077, -774.696726, -1485.36227, -2533.86603, -4024.03276, -6059.68721, -8785.088, -12182.7583, -16539.1067, -20994.3126, -24867.3396, -28756.8221, -32428.176, -35236.2064, -36409.007, -36092.1278, -34118.3483, -30320.4477},
423  {-308.350086, -311.217498, -313.195697, -314.31487, -314.605207, -314.096896, -312.820128, -310.805091, -308.081975, -304.680968, -300.632259, -295.966039, -290.712495, -284.901817, -278.614509, -271.848932, -264.599635, -256.886517, -248.729473, -240.148403, -231.163203, -221.738348, -211.956813, -201.846149, -191.433908, -180.747641, -169.8149, -158.71565, -147.52198, -136.136116, -124.564327, -112.812884, -100.888056, -88.7961136, -76.7068069, -64.522988, -52.135134, -39.5160767, -26.6386475, -13.4756781, 0, 13.7532862, 27.8822177, 42.4225625, 57.4100889, 72.8805651, 88.8697592, 107.833319, 131.863276, 155.20919, 176.924281, 196.061768, 211.674871, 222.816808, 260.477512, 303.506922, 328.337507, 327.490095, 293.485516, 218.844597, 96.0881681, -27.8598655, -216.405701, -529.145665, -1025.67608, -1762.42935, -2806.80613, -4214.60606, -6041.62879, -8393.47272, -11176.5412, -14348.9799, -17747.3316, -21230.7092, -24884.6691, -28450.6124, -31439.9222, -33295.7233, -33964.1906, -33220.0041, -30837.8436},
424  {-284.293575, -285.455423, -286.02854, -286.023086, -285.449223, -284.317112, -282.636914, -280.418789, -277.6729, -274.409407, -270.638472, -266.370255, -261.614918, -256.382622, -250.60771, -244.348306, -237.668273, -230.593279, -223.148995, -215.361088, -207.255227, -198.95188, -190.368826, -181.518641, -172.413902, -163.067186, -153.49107, -143.717927, -133.777153, -123.633993, -113.292987, -102.758672, -92.03559, -81.128279, -70.1406469, -59.0143722, -47.6836118, -36.1325801, -24.3454913, -12.3065598, 0, 12.6663563, 25.6213633, 38.8702577, 52.4182761, 66.2706552, 80.4326318, 97.6599695, 120.295132, 141.766533, 160.962606, 176.771785, 188.082505, 193.783199, 229.149613, 270.051435, 289.603997, 279.253008, 230.444179, 134.623223, -16.7641508, -233.206538, -489.797272, -842.946308, -1349.0636, -1986.97268, -3004.46287, -4364.84115, -6031.4145, -7957.99019, -10136.3744, -12487.2395, -15199.5083, -18463.6459, -21789.2919, -24932.21, -27708.8938, -30015.7269, -31368.8032, -31413.8615, -29796.6404},
425  {-269.261202, -269.893529, -269.922537, -269.369733, -268.256623, -266.604716, -264.435518, -261.770537, -258.63128, -255.039254, -251.015968, -246.582927, -241.76164, -236.573613, -231.101996, -225.329301, -219.233375, -212.823116, -206.107424, -199.095198, -191.795336, -184.183849, -176.307067, -168.178431, -159.811381, -151.21936, -142.415809, -133.451427, -124.371315, -115.099826, -105.635271, -95.975965, -86.1202194, -76.0663476, -65.8536243, -55.4544499, -44.8381242, -33.9945817, -22.9137572, -11.5855851, 0, 12.2126797, 24.6532377, 37.2820741, 50.0595888, 62.9461818, 75.902253, 92.1509699, 114.42523, 134.883784, 152.162243, 164.896218, 171.721322, 171.273165, 196.398655, 224.091212, 228.754614, 202.026835, 135.545848, 20.9496279, -150.123852, -310.660599, -586.222934, -997.812488, -1566.43089, -2298.62462, -3251.05128, -4427.36643, -5831.22566, -7492.21992, -9336.19869, -11173.0819, -13320.9669, -16036.5623, -18968.5552, -21908.6681, -24641.4471, -26991.1174, -28630.3656, -29283.5396, -28674.987},
426  {-260.19861, -260.329225, -259.924836, -259.002871, -257.580756, -255.67592, -253.305787, -250.487786, -247.239344, -243.577888, -239.520843, -235.085639, -230.2897, -225.150455, -219.702272, -213.951861, -207.904649, -201.574597, -194.975667, -188.121822, -181.027023, -173.729491, -166.215579, -158.495896, -150.581055, -142.481666, -134.20834, -125.822067, -117.376265, -108.761087, -99.9666886, -90.9832271, -81.8008583, -72.4097385, -62.81914, -53.0071261, -42.9503135, -32.6349483, -22.0472768, -11.1735453, 0, 12.4164605, 25.0318929, 37.7317017, 50.4012913, 62.9260662, 75.1914308, 90.4528171, 111.45927, 130.038073, 144.706292, 153.980991, 156.379236, 150.418091, 167.309568, 184.88779, 178.512015, 140.011827, 61.2168106, -66.0434513, -249.939375, -421.336883, -714.638337, -1141.92747, -1715.28801, -2427.92313, -3338.48847, -4436.41128, -5711.11882, -7182.28864, -8748.59704, -10135.8843, -11813.1906, -14138.1958, -16810.2724, -19624.9526, -22323.0395, -24636.7153, -26387.3746, -27365.9987, -27363.5686},
427  {-255.977882, -255.881463, -255.267847, -254.15314, -252.553448, -250.484879, -247.963539, -245.005536, -241.626976, -237.843965, -233.672612, -229.129022, -224.229303, -218.989561, -213.39858, -207.489751, -201.298535, -194.846627, -188.155723, -181.247519, -174.14371, -166.976683, -159.642156, -152.146537, -144.496235, -136.697658, -128.757215, -120.733546, -112.677443, -104.470422, -96.0976845, -87.54443, -78.7958597, -69.837174, -60.5898415, -51.07938, -41.3361316, -31.3583329, -21.1442203, -10.6920305, 0, 12.0834578, 24.2514848, 36.3470461, 48.2131066, 59.6926314, 70.6285854, 84.449911, 104.046714, 120.68748, 132.759149, 138.648667, 136.742975, 125.429017, 134.94212, 143.521823, 126.996883, 77.2399175, -13.8764533, -154.479611, -352.696935, -567.399046, -886.363643, -1321.38453, -1884.25553, -2545.61083, -3418.77101, -4466.13874, -5650.11671, -6941.4336, -8277.51408, -9446.43994, -10847.9371, -12784.0016, -15099.507, -17645.0049, -20184.1708, -22494.7141, -24385.0854, -25653.2552, -26097.1941},
428  {-259.301517, -258.908377, -257.986116, -256.552805, -254.626518, -252.225327, -249.367304, -246.070523, -242.353056, -238.232975, -233.728354, -228.857265, -223.63778, -218.087972, -212.193491, -205.992919, -199.527296, -192.821326, -185.899714, -178.787165, -171.508383, -164.22357, -156.80322, -149.253326, -141.57988, -133.788873, -125.886297, -117.935423, -109.990914, -101.921802, -93.710822, -85.3407098, -76.7941999, -68.0540274, -58.9282556, -49.5101175, -39.9060675, -30.1345682, -20.2140821, -10.1630719, 0, 11.3798946, 22.6798009, 33.7261314, 44.3452987, 54.3637154, 63.6077941, 75.75625, 93.9089438, 108.680992, 118.33465, 121.13217, 115.335806, 99.2078126, 102.39748, 103.311507, 77.9807358, 18.24746, -84.0460249, -237.057424, -448.944442, -690.660789, -1032.33718, -1482.18179, -2048.4028, -2687.14723, -3535.04044, -4537.81771, -5641.21434, -6777.12204, -7932.80681, -8992.50289, -10228.8405, -11850.2394, -13815.456, -16038.211, -18346.2706, -20623.88, -22615.3228, -24112.5969, -24907.7002},
429  {-272.576592, -271.509326, -269.905439, -267.78581, -265.171318, -262.08284, -258.541257, -254.567445, -250.182285, -245.406655, -240.261433, -234.767498, -228.945729, -222.817004, -216.396127, -209.707821, -202.777266, -195.626582, -188.277893, -180.753317, -173.074977, -165.336801, -157.479185, -149.514334, -141.454452, -133.311744, -125.098412, -116.905882, -108.813673, -100.644566, -92.3785988, -83.9958093, -75.4762357, -66.7999162, -57.7079606, -48.3315539, -38.8199673, -29.2021095, -19.5068898, -9.76321692, 0, 11.0216661, 21.8299644, 32.2208922, 41.9904468, 50.9346252, 58.8494248, 69.5324439, 86.1799924, 99.0197821, 106.223032, 105.960959, 96.4047834, 75.725723, 72.5747565, 65.8414949, 32.1083658, -36.6877954, -148.610153, -311.721872, -534.086117, -754.965378, -1105.54732, -1581.21004, -2177.33164, -2855.74813, -3694.57455, -4648.93882, -5673.96884, -6720.15437, -7756.5378, -8621.99595, -9668.11695, -11166.9082, -12949.962, -14934.2741, -17017.0813, -19145.3929, -21086.8863, -22670.375, -23724.6727},
430  {-290.803667, -289.274472, -287.128883, -284.394981, -281.100843, -277.274549, -272.944177, -268.137807, -262.883517, -257.209386, -251.143493, -244.713917, -237.948737, -230.876032, -223.51659, -215.903102, -208.068811, -200.043286, -191.856098, -183.536816, -175.115011, -166.733726, -158.293387, -149.807891, -141.291137, -132.757024, -124.219449, -115.792997, -107.577122, -99.3449735, -91.0695665, -82.7239183, -74.2810457, -65.7139654, -56.7644909, -47.551899, -38.2129678, -28.7680048, -19.2373174, -9.64121332, 0, 11.7686104, 23.2513321, 34.1374748, 44.1163481, 52.8772616, 60.109525, 69.661843, 84.7579215, 95.1414814, 98.8129842, 93.7728915, 78.021665, 49.5597661, 33.8139514, 11.434708, -39.0035261, -125.110111, -254.494408, -434.765777, -673.533578, -911.692133, -1278.54529, -1765.94828, -2365.75631, -3055.88021, -3862.5713, -4760.95166, -5726.14334, -6770.29687, -7757.44895, -8304.76651, -9080.37076, -10594.8809, -12284.7376, -14027.3107, -15837.8677, -17770.7606, -19586.105, -21144.3248, -22305.8438},
431  {-314.860794, -312.399881, -309.315105, -305.634028, -301.38421, -296.593211, -291.288593, -285.497916, -279.248741, -272.568628, -265.485138, -258.025831, -250.218269, -242.090012, -233.621957, -224.871184, -215.898305, -206.740427, -197.434653, -188.018091, -178.527844, -169.058221, -159.581225, -150.12606, -140.721932, -131.398046, -122.183608, -113.282612, -104.872792, -96.565407, -88.3186921, -80.0908819, -71.8402108, -63.5249134, -54.6077698, -45.360441, -36.0920914, -26.8622969, -17.730633, -8.75667548, 0, 10.1361592, 19.7071329, 28.4245933, 36.0002126, 42.145663, 46.5726166, 53.4597832, 66.3146467, 74.1676824, 74.9168018, 66.4599163, 46.6949373, 13.5197764, -8.04792363, -37.2662924, -95.4463037, -190.237163, -329.288076, -520.248248, -770.766884, -1027.86707, -1411.75897, -1912.81564, -2521.41019, -3210.41698, -4013.37242, -4899.65133, -5838.62854, -6829.70559, -7752.17711, -8281.29834, -8959.95466, -10188.4093, -11658.3146, -13267.0828, -14935.01, -16552.2472, -18106.642, -19552.7363, -20845.072},
432  {-344.679856, -341.022052, -336.721252, -331.8069, -326.308441, -320.255316, -313.67697, -306.602846, -299.062388, -291.085039, -282.700244, -273.937445, -264.826086, -255.395611, -245.632885, -235.594288, -225.33942, -214.906433, -204.33348, -193.658713, -182.920285, -172.031953, -161.173444, -150.40009, -139.767223, -129.330176, -119.144279, -109.546635, -100.832006, -92.3819813, -84.1374849, -76.0394417, -68.0287763, -60.0464131, -51.3358712, -42.2792565, -33.3114654, -24.5160711, -15.9766467, -7.77676527, 0, 9.05698653, 17.2769261, 24.3294609, 29.8842333, 33.6108856, 35.1790599, 39.0222633, 48.8581746, 52.9654922, 49.0795762, 34.9357869, 8.26948448, -33.1839709, -69.8652883, -117.845006, -194.845637, -307.595725, -462.823816, -667.258454, -927.628182, -1172.06384, -1551.03265, -2052.14941, -2663.0289, -3356.3428, -4156.56543, -5033.37999, -5956.46971, -6923.29205, -7820.20756, -8370.28056, -8997.37166, -9998.44616, -11243.2334, -12663.9936, -14157.567, -15604.3705, -16985.934, -18249.317, -19341.579},
433  {-377.73975, -373.104753, -367.713572, -361.606407, -354.823458, -347.404927, -339.391013, -330.821917, -321.73784, -312.178982, -302.185543, -291.797725, -281.055728, -269.999751, -258.680042, -247.130445, -235.384047, -223.478992, -211.453428, -199.3455, -187.193353, -174.725993, -162.333401, -150.096417, -138.095882, -126.412635, -115.127518, -104.688851, -95.4897345, -86.7323237, -78.3482499, -70.2691445, -62.4266393, -54.752366, -46.39279, -37.7762419, -29.3904859, -21.3277529, -13.6802736, -6.54027905, 0, 8.0344215, 14.9827519, 20.4508465, 24.0445606, 25.3697495, 24.0322684, 24.5292753, 30.6229514, 30.2234886, 20.9507164, 0.424463843, -33.7354397, -83.909165, -135.640282, -201.959857, -297.173412, -427.104905, -597.578294, -814.417538, -1083.44659, -1323.86307, -1698.16163, -2193.72605, -2797.94011, -3485.15224, -4274.9, -5138.92486, -6048.9683, -7003.2791, -7894.07684, -8485.75838, -9099.45099, -9946.79918, -10994.753, -12210.4725, -13512.3499, -14852.487, -16096.9162, -17141.0119, -17880.1487},
434  {-411.395283, -406.424621, -400.436968, -393.495203, -385.662204, -377.00085, -367.574018, -357.444586, -346.675432, -335.329434, -323.469471, -311.158421, -298.459161, -285.43457, -272.235267, -258.868624, -245.335373, -231.680445, -217.94877, -204.185281, -190.434908, -176.384163, -162.485896, -148.83454, -135.524528, -122.650289, -110.306257, -98.9695798, -89.0598987, -79.7565246, -70.9984936, -62.7248418, -54.8746053, -47.3868203, -39.3994688, -31.3583368, -23.7698461, -16.736882, -10.3623296, -4.74907387, 0, 5.82942382, 10.3061333, 13.044481, 13.6588196, 11.7635017, 6.97287981, 3.62121897, 5.33356082, 0.438408409, -13.3663218, -38.3827132, -76.9128493, -131.258814, -184.276109, -250.568796, -346.212957, -477.488314, -650.674588, -872.051499, -1147.89877, -1439.87244, -1836.72835, -2332.59123, -2921.58585, -3572.41332, -4341.90989, -5193.6922, -6091.37687, -7008.53331, -7878.91978, -8574.4393, -9231.47707, -9918.11911, -10798.793, -11871.3261, -13019.5422, -14158.9815, -15192.3213, -16026.6241, -16568.9523},
435  {-447.704261, -442.311139, -435.636192, -427.765098, -418.783533, -408.777175, -397.831702, -386.03279, -373.466118, -360.217362, -346.372199, -332.016307, -317.235363, -302.115045, -286.898914, -271.57277, -256.110459, -240.565366, -224.990874, -209.440365, -193.967224, -178.224329, -162.720881, -147.565575, -132.867107, -118.734172, -105.275468, -93.0029713, -82.3680642, -72.5151463, -63.3891673, -54.9350772, -47.097826, -39.8223634, -32.2517941, -24.8383183, -18.0948322, -12.1302966, -7.05367222, -2.97391977, 0, 3.9144123, 6.20741074, 6.47237482, 4.30268407, -0.708281985, -8.96714383, -16.6217659, -20.4599418, -31.0714639, -50.5921446, -81.1577962, -124.904231, -183.967261, -239.909578, -307.881626, -404.591142, -536.382, -709.598075, -930.583241, -1205.68137, -1520.42345, -1920.72148, -2405.59936, -2974.08102, -3596.46265, -4342.62963, -5177.1329, -6064.52341, -6976.43908, -7856.16996, -8624.20503, -9304.38621, -9874.12416, -10584.9548, -11466.2867, -12424.6604, -13408.4535, -14321.5634, -15083.0508, -15611.977},
436  {-486.985302, -481.063369, -473.621951, -464.766211, -454.601306, -443.232398, -430.764646, -417.30321, -402.95325, -387.819926, -372.008398, -355.623825, -338.771369, -321.556188, -304.281376, -286.926879, -269.457662, -251.938399, -234.433764, -217.008433, -199.727079, -182.251363, -165.104632, -148.40722, -132.27946, -116.841686, -102.214231, -88.9322037, -77.46839, -66.9513455, -57.3329911, -48.5652476, -40.6000359, -33.3892771, -26.1172825, -19.2215655, -13.1977443, -8.15474813, -4.20150593, -1.44694686, 0, 2.46866343, 3.07511633, 1.37368948, -3.08128632, -10.7354803, -22.0345617, -33.804155, -43.4138398, -59.9652257, -85.3738362, -121.555195, -170.424826, -233.898252, -294.951034, -367.480185, -466.816392, -598.74919, -769.068117, -983.56271, -1248.02251, -1549.17979, -1927.42098, -2384.28343, -2921.30444, -3517.40583, -4229.90974, -5033.21508, -5901.72077, -6825.70807, -7731.92885, -8541.16776, -9225.3043, -9715.70976, -10261.4576, -10921.8731, -11668.0294, -12532.7126, -13390.1094, -14168.4748, -14796.0635},
437  {-523.530987, -517.18179, -509.099572, -499.404296, -488.215926, -475.654428, -461.839764, -446.8919, -430.930799, -414.076427, -396.448746, -378.167723, -359.353319, -340.125501, -320.743696, -301.239643, -281.634523, -262.019777, -242.486841, -223.127154, -204.032154, -185.1605, -166.754747, -148.924671, -131.780048, -115.430653, -99.9862631, -85.8913394, -73.5400536, -62.2419086, -51.970787, -42.7005711, -34.4051436, -27.0583868, -19.9670615, -13.5270739, -8.18482821, -4.05066127, -1.23490977, 0.152089566, 0, 0.63444541, -0.827294392, -4.83197899, -11.826368, -22.2572209, -36.5712973, -52.069956, -66.5271897, -87.9107707, -117.944593, -158.352549, -210.858533, -277.186437, -340.946978, -415.322511, -514.866481, -645.007681, -811.174906, -1018.79695, -1273.30261, -1585.92326, -1950.09153, -2374.72401, -2868.73727, -3413.26677, -4085.75571, -4861.78357, -5716.92985, -6636.49509, -7566.89564, -8502.24447, -9262.53211, -9658.4135, -10079.7924, -10610.8568, -11207.0811, -11865.721, -12545.62, -13218.7166, -13856.9493},
438  {-573.544328, -567.3913, -559.264478, -549.297849, -537.625402, -524.381123, -509.699, -493.713021, -476.557174, -458.365445, -439.271823, -419.410296, -398.91485, -377.919473, -356.673279, -335.237426, -313.664358, -292.064516, -270.548338, -249.226266, -228.208738, -207.724455, -187.749263, -168.377269, -149.702582, -131.819308, -114.821554, -98.9907231, -84.5800736, -71.2358692, -58.9761693, -47.8190334, -37.782521, -28.8846914, -20.80112, -13.7665228, -8.04154082, -3.71428576, -0.872869407, 0.394596441, 0, -0.352641544, -2.79107424, -7.65091515, -15.2677814, -25.9772899, -40.115058, -55.4388162, -70.0936536, -90.5792079, -118.277801, -154.571754, -200.84339, -258.47503, -314.439123, -379.233729, -464.447671, -574.410692, -713.452534, -885.902939, -1096.09165, -1361.90342, -1660.1381, -2002.53274, -2400.82438, -2844.97238, -3400.43194, -4052.80709, -4787.70187, -5593.56535, -6447.46639, -7421.88042, -8212.53356, -8539.75889, -8877.49863, -9315.97155, -9789.15075, -10251.9446, -10731.7661, -11231.3108, -11753.2741},
439  {-655.005025, -650.22828, -643.153049, -633.930991, -622.713764, -609.653026, -594.900437, -578.607655, -560.926338, -542.008144, -522.004733, -501.067762, -479.348891, -456.999777, -434.44623, -411.666479, -388.618003, -365.396384, -342.097206, -318.816053, -295.648506, -272.707411, -250.068705, -227.82559, -206.071264, -184.898927, -164.401779, -144.67741, -125.822753, -107.920505, -91.0620844, -75.338907, -60.8423896, -47.6639487, -36.2708463, -26.5167378, -18.2268289, -11.4156602, -6.09777208, -2.28770517, 0, 0.899018952, 0.226125436, -2.05369074, -5.97543976, -11.5741318, -18.8847771, -26.3284314, -32.5686664, -41.4996417, -53.8116848, -70.1951234, -91.3402849, -117.937497, -147.032956, -181.622281, -224.976933, -278.532618, -343.72504, -421.989903, -514.762911, -581.305808, -694.756475, -854.432254, -1059.65049, -1330.79573, -1615.21967, -1937.52009, -2322.2948, -2806.55382, -3377.65823, -4109.87456, -4751.12504, -5083.61292, -5376.10302, -5691.28314, -6024.29668, -6414.84462, -6791.94206, -7122.33809, -7372.7818}
440  };
441 
442  const double a5tab[21][81] = {
443  {519.523893, 518.131239, 515.8465, 512.673834, 508.617401, 503.681359, 497.869868, 491.187084, 483.637169, 475.224279, 465.952575, 455.826214, 444.849356, 433.026159, 419.876634, 405.711214, 390.876979, 375.477116, 359.614813, 343.393256, 326.915633, 310.97921, 294.897239, 278.677049, 262.325971, 245.851335, 229.260471, 212.468357, 195.403847, 178.295097, 161.186937, 144.124194, 127.151698, 110.314275, 94.0951208, 78.2617512, 62.5485019, 46.9105375, 31.3030226, 15.6811219, 0, -14.8448983, -29.9685477, -45.5456425, -61.7508773, -78.7589465, -96.7445447, -115.834203, -136.161689, -158.016862, -181.593973, -207.087271, -234.691007, -264.599431, -315.508826, -375.908989, -432.889195, -482.859257, -522.228987, -547.408199, -554.806705, -574.962906, -596.142264, -541.649647, -334.789923, 439.372044, 1023.20821, 1899.29847, 3550.22271, 6493.90189, 11106.8927, 19378.4641, 26907.6181, 30293.5484, 32120.0118, 32707.9753, 31765.1304, 28865.1246, 24731.0574, 19694.1679, 14085.6953},
444  {401.023924, 404.584455, 406.799776, 407.720454, 407.397055, 405.880146, 403.220293, 399.468062, 394.674018, 388.888729, 382.162761, 374.54668, 366.091051, 356.846442, 346.759978, 335.947662, 324.533328, 312.588699, 300.185499, 287.395453, 274.290286, 261.318544, 248.123086, 234.723595, 221.139753, 207.391243, 193.497745, 179.435614, 165.187713, 150.877329, 136.541738, 122.218216, 107.944036, 93.7564757, 80.056375, 66.6510166, 53.320162, 40.0267222, 26.733608, 13.4037303, 0, -12.7748555, -25.7999156, -39.2144432, -53.157701, -67.768952, -83.1874591, -100.053584, -118.932391, -138.764961, -159.487092, -181.034587, -203.343245, -226.348868, -271.660391, -325.50311, -372.461762, -408.039085, -427.737821, -427.060708, -401.510488, -366.642495, -338.58577, -231.772114, 39.3666742, 733.614349, 1509.27518, 2659.77438, 4478.53714, 7303.46344, 11294.5542, 17504.0752, 23491.4724, 27390.0091, 30357.5262, 32364.0939, 33034.5068, 31900.5993, 29211.3213, 24971.1506, 19184.5649},
445  {320.853928, 323.645506, 325.647365, 326.8671, 327.312305, 326.990576, 325.909508, 324.076696, 321.499735, 318.186219, 314.143744, 309.379905, 303.902297, 297.718514, 290.663545, 282.854178, 274.420263, 265.404701, 255.850392, 245.800236, 235.297134, 224.310145, 212.966208, 201.31842, 189.419881, 177.323689, 165.082942, 152.819472, 140.644784, 128.447624, 116.253182, 104.086648, 91.9732114, 79.938062, 68.2956295, 56.8881296, 45.5358834, 34.2049193, 22.8612652, 11.4709494, 0, -10.9706148, -22.1747344, -33.7312581, -45.7590852, -58.377115, -71.7042469, -87.0660335, -105.606713, -124.55994, -143.554672, -162.21987, -180.184491, -197.077497, -236.11891, -282.013897, -317.681883, -337.92647, -337.551259, -311.359852, -254.155851, -10.8720224, 90.9067418, 180.871687, 388.714058, 763.065479, 1633.56374, 3032.62932, 4992.68271, 7505.62609, 10725.4348, 15243.7119, 19832.0917, 23594.4221, 26919.4491, 29614.2054, 31277.3477, 31430.3293, 30111.7931, 27184.0668, 22509.478},
446  {264.604952, 268.01221, 270.555054, 272.259659, 273.152196, 273.258839, 272.605761, 271.219136, 269.125135, 266.349933, 262.919703, 258.860616, 254.198848, 248.96057, 243.144059, 236.793135, 229.953732, 222.657727, 214.937001, 206.823432, 198.348899, 189.538801, 180.432392, 171.062448, 161.461742, 151.663049, 141.699143, 131.629487, 121.509533, 111.308241, 101.047548, 90.7493939, 80.4357158, 70.1284518, 60.0684983, 50.1392797, 40.2076459, 30.2507491, 20.2457412, 10.1697742, 0, -10.1716849, -20.49872, -31.0198002, -41.7736206, -52.7988762, -64.1342619, -77.2252061, -93.3057587, -109.050954, -123.92831, -137.40534, -148.949562, -158.028492, -191.573447, -231.678243, -258.357804, -265.462155, -246.841316, -196.345311, -107.824161, 37.7516773, 181.758735, 395.308243, 749.511432, 1325.47786, 2169.65629, 3365.15583, 4995.08563, 7176.1872, 9890.67249, 13346.7352, 16906.2956, 20068.6758, 23231.2194, 26180.9312, 28396.171, 29233.1402, 28845.3183, 27114.3841, 23922.0167},
447  {226.936794, 230.072047, 232.394903, 233.936573, 234.728264, 234.801186, 234.186548, 232.915558, 231.019425, 228.529359, 225.476568, 221.89226, 217.807645, 213.253932, 208.310342, 202.977713, 197.253243, 191.158322, 184.714336, 177.942674, 170.864725, 163.458199, 155.794193, 147.900128, 139.803422, 131.531496, 123.11177, 114.613821, 106.100893, 97.4996009, 88.8202487, 80.0731387, 71.2685737, 62.4168564, 53.6474839, 44.895356, 36.0863504, 27.2063895, 18.2413957, 9.17729174, 0, -9.32918894, -18.7963188, -28.4120651, -38.1871037, -48.13211, -58.2577598, -70.546693, -86.685238, -101.968879, -115.607611, -126.811428, -134.790326, -138.754299, -162.950269, -190.74978, -203.62919, -195.677397, -160.983299, -93.6357938, 12.2762194, 119.095052, 277.884525, 535.748638, 939.791391, 1533.80335, 2373.06163, 3500.69416, 4959.82882, 6835.43808, 9045.11621, 11519.1146, 14208.7872, 17071.2823, 20064.301, 22950.6412, 25337.2994, 26758.9674, 27195.3575, 26474.4695, 24424.3036},
448  {208.120791, 209.580113, 210.509836, 210.922517, 210.830712, 210.24698, 209.183878, 207.653963, 205.669793, 203.243925, 200.388916, 197.117324, 193.441706, 189.374619, 184.867629, 179.971877, 174.743121, 169.206393, 163.386727, 157.309156, 150.998712, 144.5579, 137.923582, 131.11009, 124.131758, 117.00292, 109.737907, 102.365653, 94.9128929, 87.3590567, 79.7125504, 71.9817802, 64.1751523, 56.3010729, 48.4310367, 40.53354, 32.5723035, 24.5428292, 16.4406192, 8.26117543, 0, -8.46945348, -17.0127789, -25.6176185, -34.2716146, -42.9624094, -51.6776452, -62.6192298, -77.6563512, -91.4820897, -103.185025, -111.853735, -116.576801, -116.442801, -139.244831, -165.912887, -175.204164, -160.335968, -114.525607, -30.9903895, 97.0523769, 277.669417, 490.299248, 779.530743, 1189.95278, 1700.99006, 2517.96931, 3607.28304, 4935.32375, 6461.28195, 8173.15611, 9967.4643, 12094.3003, 14791.2017, 17529.173, 20080.8976, 22307.089, 24120.9478, 25137.6962, 25074.1402, 23647.0861},
449  {196.99112, 197.852928, 198.189355, 198.02151, 197.370502, 196.257439, 194.703432, 192.729589, 190.35702, 187.606833, 184.500137, 181.058042, 177.301656, 173.252089, 168.982587, 164.481277, 159.732339, 154.746218, 149.53336, 144.104209, 138.469211, 132.610235, 126.570248, 120.363641, 114.004805, 107.50813, 100.888009, 94.1862905, 87.4406999, 80.5999704, 73.6673442, 66.6460632, 59.5393694, 52.3505049, 45.099863, 37.7798357, 30.3815167, 22.9046398, 15.3489389, 7.71414766, 0, -8.13710569, -16.3066832, -24.4615817, -32.5546505, -40.5387386, -48.3666954, -58.602855, -73.4191447, -86.5240549, -96.8100879, -103.169746, -104.495532, -99.6799483, -114.611839, -131.105722, -128.932611, -101.463129, -42.0679019, 55.8824482, 199.017297, 332.674538, 559.635715, 895.530662, 1355.98921, 1943.25865, 2705.97899, 3643.72114, 4756.05602, 6064.72725, 7502.78762, 8874.38743, 10537.2961, 12783.959, 15205.7867, 17604.9312, 19811.9288, 21677.5237, 22943.2431, 23387.8477, 22790.0979},
450  {190.832536, 191.182498, 191.070976, 190.515396, 189.533185, 188.141768, 186.358572, 184.201023, 181.686546, 178.832569, 175.656516, 172.175814, 168.40789, 164.370168, 160.095692, 155.592007, 150.865481, 145.930345, 140.800832, 135.491174, 130.015603, 124.4074, 118.659118, 112.782357, 106.788719, 100.689805, 94.4972168, 88.259642, 82.0201968, 75.7018023, 69.3010013, 62.8143362, 56.2383498, 49.5695846, 42.8059539, 35.9431333, 28.9766944, 21.9028994, 14.7180105, 7.41828999, 0, -8.32900583, -16.675172, -24.9333518, -32.9983983, -40.7651645, -48.1285038, -57.6696175, -71.566051, -83.289292, -91.6434499, -95.4326343, -93.4609546, -84.5325202, -93.2601919, -102.121369, -91.6398416, -55.3407527, 13.2507551, 120.609539, 273.210457, 414.532412, 654.724254, 1002.23974, 1465.53261, 2035.81164, 2764.06811, 3638.06196, 4645.55311, 5800.59664, 7012.06701, 8011.00495, 9284.86209, 11212.7157, 13428.9288, 15737.5879, 17929.6157, 19775.3061, 21140.6326, 21858.9509, 21763.6162},
451  {188.572122, 188.667871, 188.320343, 187.545776, 186.360407, 184.780474, 182.822216, 180.50187, 177.835674, 174.839867, 171.530685, 167.924367, 164.03715, 159.885273, 155.464333, 150.803623, 145.934004, 140.875935, 135.649876, 130.276286, 124.775626, 119.260585, 113.646656, 107.941562, 102.153024, 96.2887649, 90.3565074, 84.4012916, 78.4625502, 72.4587743, 66.3825339, 60.226399, 53.9829398, 47.6447264, 41.1445932, 34.5128992, 27.7845253, 20.9642599, 14.0568915, 7.06720873, 0, -8.0991995, -16.1338685, -23.9667389, -31.460543, -38.4780125, -44.8818797, -53.3854886, -66.2738445, -76.5935407, -83.0498692, -84.3481219, -79.1935907, -66.2915677, -69.5515217, -71.7344903, -53.6936662, -8.97903516, 68.8594169, 186.271704, 349.70784, 524.871315, 784.98631, 1138.2079, 1592.69116, 2121.10369, 2819.1361, 3652.35886, 4586.34238, 5594.64432, 6618.87351, 7444.53231, 8495.24079, 10098.3722, 12019.8806, 14111.2512, 16180.113, 18033.9887, 19524.6826, 20488.903, 20763.3579},
452  {192.640596, 192.425679, 191.760187, 190.661977, 189.148906, 187.238831, 184.949609, 182.299097, 179.305152, 175.985632, 172.358392, 168.44129, 164.252184, 159.80893, 155.105186, 150.174117, 145.050721, 139.757805, 134.318175, 128.754639, 123.090004, 117.461761, 111.762194, 105.99827, 100.176957, 94.3052222, 88.3900346, 82.4792313, 76.6145088, 70.7051111, 64.7414116, 58.7137839, 52.6126016, 46.4282381, 40.0060334, 33.4281099, 26.7875683, 20.1044475, 13.3987865, 6.69062437, 0, -7.58044865, -14.9752011, -22.0361381, -28.61514, -34.5640876, -39.7348614, -47.0396638, -58.9308472, -67.9427133, -72.6845537, -71.76566, -63.7953237, -47.3828366, -46.0843521, -42.7276859, -18.2522863, 33.8352296, 120.028244, 246.820141, 420.704303, 616.581004, 894.493792, 1259.59357, 1717.03125, 2227.35983, 2905.73808, 3703.79987, 4573.17903, 5454.46437, 6332.42487, 7077.50902, 7998.51352, 9337.6381, 10966.8088, 12792.4299, 14674.4371, 16510.3169, 18093.8205, 19254.0633, 19820.1611},
453  {205.201042, 204.348048, 203.041196, 201.300742, 199.146942, 196.600052, 193.680328, 190.408026, 186.803402, 182.886711, 178.67821, 174.198155, 169.466801, 164.504404, 159.33076, 153.966415, 148.431952, 142.747722, 136.934076, 131.011362, 124.999932, 118.983059, 112.90948, 106.790855, 100.638845, 94.4651098, 88.2813103, 82.1587966, 76.15995, 70.1537049, 64.1274852, 58.0687151, 51.9648188, 45.8032204, 39.3720536, 32.7848145, 26.1700843, 19.5560505, 12.9709002, 6.44282098, 0, -7.3490753, -14.4156901, -21.0308295, -27.0254786, -32.2306226, -36.4772465, -42.7807182, -53.6779141, -61.3855962, -64.4417882, -61.3845132, -50.7517947, -31.0816562, -25.2471131, -16.391784, 14.1827643, 72.9160298, 166.247511, 300.616705, 482.463112, 660.681848, 945.390279, 1331.37205, 1813.41082, 2356.24576, 3028.77002, 3789.71416, 4597.80879, 5408.08129, 6190.37179, 6777.22915, 7544.01912, 8786.78629, 10268.4158, 11898.0197, 13595.0589, 15311.8408, 16858.9378, 18095.2411, 18879.6421},
454  {221.690131, 220.398247, 218.58656, 216.281616, 213.509957, 210.298129, 206.672674, 202.660137, 198.287063, 193.579994, 188.565475, 183.270051, 177.720264, 171.94266, 165.966042, 159.815525, 153.516051, 147.093703, 140.574562, 133.984708, 127.350225, 120.795949, 114.235566, 107.681522, 101.146258, 94.6422182, 88.1818448, 81.8547985, 75.7391366, 69.6626667, 63.6064793, 57.5516645, 51.4793127, 45.3705141, 39.013682, 32.5117949, 25.9824161, 19.4460464, 12.9231866, 6.43433754, 0, -8.04107527, -15.7543762, -22.8871409, -29.1866072, -34.4000132, -38.2745968, -43.8795544, -53.7849183, -59.7947447, -60.3074499, -53.7214501, -38.4351615, -12.8470002, 2.69274262, 23.672487, 67.242313, 139.493879, 246.518844, 394.408865, 589.255602, 780.905091, 1078.63779, 1474.37621, 1960.04287, 2514.26833, 3161.76182, 3878.49565, 4640.44212, 5456.18109, 6203.86222, 6522.65532, 7063.54625, 8330.475, 9738.76737, 11163.6008, 12630.3005, 14190.7865, 15640.4513, 16862.1399, 17738.6977},
455  {243.041167, 240.916442, 238.268739, 235.124196, 231.508948, 227.44913, 222.97088, 218.100331, 212.863622, 207.286886, 201.396261, 195.217881, 188.777884, 182.102404, 175.188008, 168.079538, 160.824073, 153.453798, 146.000897, 138.497553, 130.975952, 123.529313, 116.120354, 108.772831, 101.510497, 94.3571074, 87.336416, 80.6075209, 74.3091827, 68.1415349, 62.0733782, 56.0735135, 50.1107416, 44.1538631, 37.7686538, 31.1788696, 24.6387738, 18.1996027, 11.9125925, 5.82897951, 0, -6.83643511, -13.134385, -18.661234, -23.1843668, -26.4711679, -28.2890216, -31.9863919, -40.3736424, -44.6553882, -43.1449803, -34.15577, -16.0011085, 13.005653, 32.7119582, 58.6200168, 107.88517, 186.661095, 301.10147, 457.359973, 661.59028, 867.621722, 1179.24059, 1586.96251, 2081.30312, 2637.14399, 3283.56464, 3992.32, 4735.16499, 5510.68417, 6210.14351, 6525.55868, 6991.93862, 8010.82803, 9232.1407, 10550.4892, 11905.9158, 13206.7859, 14442.7419, 15575.7181, 16567.6489},
456  {269.088009, 265.924239, 262.224134, 258.015465, 253.326007, 248.183532, 242.615814, 236.650625, 230.315739, 223.638929, 216.647968, 209.370629, 201.834685, 194.067909, 186.073201, 177.89407, 169.575906, 161.151569, 152.653921, 144.115822, 135.570133, 126.971984, 118.442702, 110.025882, 101.765121, 93.7040138, 85.886157, 78.5745132, 71.9990828, 65.6789304, 59.5685817, 53.6225628, 47.7953994, 42.0416175, 35.7514821, 29.2364724, 22.8507801, 16.6643459, 10.7471106, 5.16901506, 0, -6.10211882, -11.4602514, -15.8094327, -18.884698, -20.4210821, -20.1536201, -21.6460347, -27.8867423, -29.4559488, -24.5341191, -11.3017181, 12.0607894, 47.3729384, 78.7156359, 119.129938, 182.999637, 275.772557, 402.896523, 569.81936, 781.988894, 978.133378, 1286.266, 1694.78546, 2192.09049, 2753.06761, 3399.44548, 4103.40834, 4837.14042, 5597.6513, 6282.64914, 6628.25706, 7059.49464, 7882.44393, 8911.69889, 10073.7181, 11286.1547, 12446.5037, 13541.6988, 14528.1828, 15362.399},
457  {297.538563, 293.556225, 288.943238, 283.736585, 277.973249, 271.690214, 264.924463, 257.712979, 250.092744, 242.100743, 233.773957, 225.149371, 216.263967, 207.154729, 197.88078, 188.465097, 178.928981, 169.304887, 159.625269, 149.922583, 140.229283, 130.357193, 120.589868, 110.990234, 101.621217, 92.545741, 83.8267321, 75.8132842, 68.8114909, 62.2000155, 55.9255896, 49.9349446, 44.1748124, 38.5919243, 32.4983618, 26.2423386, 20.2201084, 14.5082154, 9.18320368, 4.32161718, 0, -5.43618466, -9.94023776, -13.1965411, -14.8894766, -14.7034259, -12.322771, -11.3742724, -14.8923013, -13.1345613, -4.18470192, 13.8736276, 42.956778, 84.9810999, 128.019953, 182.746814, 260.883015, 367.176375, 506.374714, 683.225853, 902.477611, 1096.46704, 1401.4294, 1805.90828, 2298.44724, 2855.37901, 3495.36723, 4192.30257, 4920.07567, 5676.13651, 6363.69775, 6757.39355, 7186.55806, 7877.68362, 8738.18483, 9726.41403, 10777.6599, 11849.6135, 12833.4199, 13642.9101, 14191.9155},
458  {325.967927, 321.759463, 316.699275, 310.843686, 304.249017, 296.971589, 289.067725, 280.593744, 271.605969, 262.160722, 252.314323, 242.123094, 231.643357, 220.931433, 210.135985, 199.25492, 188.279152, 177.246116, 166.193245, 155.157973, 144.177733, 133.034222, 122.055929, 111.315608, 100.886012, 90.8398934, 81.2500054, 72.4853239, 64.8703136, 57.7694243, 51.135133, 44.9199163, 39.076251, 33.5566141, 27.6663412, 21.767293, 16.2703157, 11.2602536, 6.82195087, 3.0402516, 0, -3.83572388, -6.53633503, -7.79301253, -7.29693548, -4.73928297, 0.188765894, 3.97288046, 3.67320435, 8.74015049, 21.0348622, 42.4184827, 74.7521554, 119.897023, 163.757313, 218.288572, 296.654215, 403.979242, 545.38865, 726.007439, 950.960608, 1187.36036, 1510.91855, 1915.91188, 2396.61706, 2924.84282, 3550.2867, 4240.26406, 4962.09027, 5692.37005, 6370.55074, 6867.86278, 7344.32832, 7893.98241, 8608.93485, 9476.692, 10400.6984, 11305.6616, 12115.2992, 12753.6661, 13144.8175},
459  {355.924553, 351.463197, 345.92638, 339.389563, 331.928211, 323.617786, 314.533751, 304.75157, 294.346705, 283.394619, 271.970776, 260.150639, 248.009671, 235.623334, 223.220949, 210.780647, 198.268917, 185.72975, 173.207141, 160.745081, 148.387565, 135.896053, 123.636089, 111.690687, 100.142859, 89.0756176, 78.5719749, 69.0240383, 60.7774699, 53.1762019, 46.1777443, 39.7396075, 33.8193017, 28.3743371, 22.7181984, 17.2158088, 12.2808414, 8.00253643, 4.47013431, 1.77287539, 0, -2.47767474, -3.61515922, -3.08588707, -0.563291916, 4.27919262, 11.7681329, 18.7689569, 22.6671699, 32.0653158, 48.6952942, 74.2890049, 110.578348, 159.295223, 205.2998, 260.997097, 340.069247, 447.699122, 589.069595, 769.363538, 993.763824, 1249.0487, 1575.51435, 1971.68525, 2436.08585, 2942.24165, 3550.34111, 4228.91015, 4946.47472, 5678.36192, 6372.69412, 6946.10806, 7452.8416, 7901.32133, 8470.01808, 9175.75662, 9940.06053, 10715.5055, 11425.7601, 12004.3475, 12384.791},
460  {387.430025, 382.686339, 376.665071, 369.457889, 361.156459, 351.852449, 341.637525, 330.603354, 318.841603, 306.44394, 293.50203, 280.107541, 266.352139, 252.327492, 238.313641, 224.283086, 210.194068, 196.099725, 182.053193, 168.107609, 154.316108, 140.455871, 126.894102, 113.72205, 101.030964, 88.9120906, 77.4566788, 67.070536, 58.1122035, 49.9207821, 42.4597989, 35.6927807, 29.5832546, 24.0947477, 18.578586, 13.385577, 8.91286911, 5.24920986, 2.48334686, 0.704027705, 0, -1.49811338, -1.47300968, 0.434489138, 4.58356111, 11.3333843, 21.0431367, 31.1274123, 39.4432642, 53.390707, 74.5245146, 104.399461, 144.570319, 196.591864, 246.451664, 305.552364, 386.474976, 493.958418, 632.741605, 807.563455, 1023.16289, 1267.6883, 1576.12367, 1949.31661, 2388.11474, 2873.75188, 3455.4562, 4110.53896, 4816.31143, 5564.37504, 6289.17058, 6910.67669, 7431.21712, 7813.68352, 8241.97583, 8760.16318, 9344.65662, 10021.3633, 10685.864, 11278.1692, 11738.2894},
461  {415.644597, 410.80384, 404.496223, 396.826118, 387.897897, 377.815933, 366.684597, 354.608262, 341.6913, 328.038083, 313.752984, 298.940374, 283.704625, 268.15011, 252.526896, 236.847188, 221.112163, 205.396391, 189.774444, 174.320894, 159.110312, 144.161103, 129.611761, 115.544616, 102.041996, 89.1862286, 77.0596429, 65.993561, 56.2818907, 47.411588, 39.3638818, 32.1200012, 25.6611749, 19.9686321, 14.4900332, 9.54414462, 5.49012131, 2.41832923, 0.419134351, -0.417097379, 0, -0.19189763, 1.31994565, 4.89557566, 10.8950383, 19.6783793, 31.6056445, 44.4793832, 56.4864388, 74.1021239, 98.7249103, 131.75327, 174.585674, 228.620594, 280.369375, 340.648141, 421.399902, 527.068169, 662.096454, 830.928265, 1038.00711, 1291.98541, 1588.48038, 1934.65271, 2337.66309, 2781.05892, 3330.24684, 3964.0518, 4661.29879, 5409.67817, 6161.41866, 6903.2878, 7499.09516, 7801.54674, 8123.45042, 8532.17509, 8990.76641, 9496.34206, 10014.0548, 10519.9545, 10990.0912},
462  {453.17581, 448.837173, 442.811713, 435.216307, 426.167836, 415.783177, 404.179211, 391.472816, 377.78087, 363.220254, 347.907847, 331.960526, 315.495171, 298.628662, 281.605983, 264.462973, 247.225773, 229.98506, 212.831509, 195.855796, 179.148598, 162.951874, 147.184124, 131.915128, 117.214671, 103.152535, 89.7985016, 77.3576024, 66.0145451, 55.5157189, 45.8759913, 37.1102299, 29.2333022, 22.2600757, 15.9192601, 10.4067475, 5.94009081, 2.59268896, 0.43794067, -0.450755246, 0, 0.43664773, 2.55661682, 6.63037865, 12.9284046, 21.7211662, 33.2791347, 45.7879692, 57.7465969, 74.4105134, 96.8966909, 126.322102, 163.803718, 210.458512, 255.584784, 307.776041, 376.520412, 465.35228, 577.806029, 717.416043, 887.716706, 1103.5243, 1345.46792, 1623.23514, 1946.51352, 2306.45731, 2758.46946, 3289.99774, 3888.48991, 4543.93457, 5236.15697, 6023.08053, 6654.59158, 6900.07118, 7152.52932, 7486.30119, 7845.51724, 8191.2698, 8547.00849, 8914.92465, 9297.20964},
463  {514.044111, 511.244973, 506.460749, 499.824339, 491.468637, 481.526543, 470.130952, 457.414762, 443.51087, 428.552173, 412.671569, 396.001954, 378.676226, 360.827281, 342.838575, 324.6845, 306.320485, 287.828178, 269.289225, 250.785274, 232.397974, 214.298224, 196.466094, 178.970904, 161.881976, 145.268632, 129.200193, 113.748283, 98.9841805, 84.9717004, 71.779229, 59.4751529, 48.1278582, 37.8057315, 28.8385816, 21.1294181, 14.5614618, 9.14962737, 4.90882923, 1.85398193, 0, -0.744376298, -0.243394776, 1.53252249, 4.61295341, 9.02747592, 14.8056679, 20.7043685, 25.671661, 32.7803872, 42.576898, 55.6075441, 72.4186764, 93.5566457, 116.626628, 144.035572, 178.41306, 220.907037, 272.665445, 334.836229, 408.567332, 461.903817, 552.18437, 679.028025, 842.053812, 1057.64344, 1284.06812, 1541.06193, 1848.35894, 2235.51207, 2692.79891, 3282.76076, 3795.71593, 4050.6964, 4271.96945, 4511.18603, 4762.95519, 5057.70467, 5339.62931, 5582.32165, 5759.37424}
464  };
465 
466  const double b3tab[21][81] = {
467  {43.0068882, 42.0198432, 41.0202058, 40.0082996, 38.9844479, 37.9489742, 36.902202, 35.8444546, 34.7760554, 33.697328, 32.6085957, 31.510182, 30.4024104, 29.2856042, 28.1351348, 26.9671105, 25.7995281, 24.6378149, 23.487398, 22.3537045, 21.2421617, 20.2361252, 19.2523312, 18.2854444, 17.3301295, 16.3810513, 15.4328744, 14.4741566, 13.494373, 12.5027911, 11.4965554, 10.4728101, 9.42869978, 8.36136873, 7.43944692, 6.55159635, 5.5734983, 4.46722121, 3.19483351, 1.71840363, 0, -1.82864689, -3.99856215, -6.57110885, -9.60765004, -13.1695488, -17.3181681, -23.1599594, -31.6443369, -40.3337383, -48.8651873, -56.8757074, -64.0023224, -69.8820558, -135.302016, -221.215459, -283.946851, -310.625471, -288.380599, -204.341513, -45.6374928, 1094.39585, 1322.02807, 1275.54747, 1593.24234, 5319.21786, 7157.42945, 10633.1226, 19271.5426, 33460.8266, 66137.5454, 158302.586, 233321.855, 232304.72, 214245.066, 191781.421, 164045.903, 133506.452, 102794.137, 74484.4135, 51152.7378},
468  {34.8479771, 34.0828232, 33.2979234, 32.4946199, 31.6742548, 30.8381703, 29.9877087, 29.124212, 28.2490225, 27.3634824, 26.4689337, 25.5667189, 24.6581798, 23.7446589, 22.8204984, 21.8914687, 20.9638698, 20.0404758, 19.1240605, 18.2173979, 17.323262, 16.48684, 15.6626349, 14.8475632, 14.0385411, 13.2324851, 12.4263115, 11.6119553, 10.7820998, 9.94557265, 9.10131288, 8.24825948, 7.38535144, 6.51152776, 5.87655893, 5.32070703, 4.66524731, 3.85781326, 2.84603836, 1.57755611, 0, -1.69213164, -3.83216388, -6.50655697, -9.80177113, -13.8042666, -18.6005036, -25.4550677, -35.4555167, -45.8712791, -56.3104583, -66.381158, -75.6914817, -83.8495329, -163.679532, -268.472799, -345.978518, -380.829042, -357.656722, -261.093911, -75.7729602, 1382.32395, 1669.1229, 1567.52846, 1860.4452, 5398.05478, 7863.99151, 12521.8726, 22635.3153, 38866.4163, 72283.3546, 159204.733, 230487.863, 232792.773, 220036.698, 203067.024, 179727.633, 149951.728, 118318.723, 87824.0906, 61463.3019},
469  {27.3016278, 26.3201609, 25.4316053, 24.6262982, 23.8945769, 23.2267788, 22.613241, 22.044301, 21.510296, 21.0015632, 20.5084399, 20.0212635, 19.5303712, 19.0261003, 18.4401786, 17.80002, 17.1374748, 16.4548684, 15.7545261, 15.0387734, 14.3099356, 13.5774014, 12.8354574, 12.0854534, 11.3287394, 10.5666652, 9.80058079, 9.02693396, 8.2429092, 7.46157766, 6.68627963, 5.92035536, 5.16714512, 4.42998917, 4.08113488, 3.89055052, 3.60027976, 3.13820596, 2.43221249, 1.41018271, 0, -1.63570072, -3.83620844, -6.7060606, -10.3497946, -14.8719479, -20.377058, -28.3310151, -39.9951502, -52.2188502, -64.5538995, -76.5520826, -87.7651839, -97.7449876, -189.784157, -310.45969, -400.009772, -440.857681, -415.426698, -306.140102, -95.4211725, 1828.26796, 2199.66409, 1975.70095, 2113.31228, 4971.62859, 8048.84049, 13984.5044, 25418.1767, 42730.9598, 75337.7724, 154867.656, 220221.658, 224088.91, 215027.204, 202272.431, 182777.578, 154477.671, 123662.487, 93773.5817, 68252.5085},
470  {19.3140409, 18.8127435, 18.3268192, 17.8544265, 17.3937237, 16.9428693, 16.5000216, 16.0633391, 15.6309802, 15.2011032, 14.7718666, 14.3414288, 13.9079482, 13.4695833, 13.0132296, 12.5441705, 12.0685417, 11.5868053, 11.0994235, 10.6068582, 10.1095716, 9.60921725, 9.10490122, 8.59692112, 8.08557452, 7.57115897, 7.05397204, 6.53172619, 6.00252231, 5.47283926, 4.94402423, 4.41742444, 3.89438708, 3.37625936, 3.26677856, 3.31273845, 3.23047363, 2.93902574, 2.35743642, 1.40474729, 0, -1.64066316, -3.93633285, -7.00899908, -10.9806518, -15.9732812, -22.108877, -31.1013368, -44.4253548, -58.3964885, -72.4903626, -86.1826014, -98.9488294, -110.264671, -213.913405, -349.711289, -450.335908, -495.973035, -466.808444, -343.027907, -104.817199, 1622.64393, 2013.60032, 1968.70522, 2388.61189, 5741.17106, 9061.29224, 15130.2506, 26729.3214, 45277.9892, 77642.9008, 149564.093, 208953.624, 215315.125, 207096.358, 192638.252, 171985.692, 147259.988, 120572.795, 94039.0621, 69773.735},
471  {12.7881556, 12.5733124, 12.333449, 12.0708547, 11.7878189, 11.4866307, 11.1695797, 10.838955, 10.497046, 10.146142, 9.78853229, 9.42650626, 9.06235319, 8.69836239, 8.35563103, 8.02455051, 7.69408857, 7.36268754, 7.02878975, 6.69083752, 6.34727319, 5.96573091, 5.57971601, 5.19192562, 4.8050569, 4.42180699, 4.04487306, 3.68477709, 3.35086534, 3.0271248, 2.71307548, 2.40823739, 2.11213051, 1.82427487, 2.01413104, 2.38393289, 2.60034188, 2.56675554, 2.18657142, 1.36318706, 0, -1.7361858, -4.24175745, -7.64969563, -12.092981, -17.7045944, -24.6175163, -34.7775333, -49.8580361, -65.6573797, -81.5724874, -97.0002825, -111.337688, -123.981628, -235.651602, -381.647502, -489.599547, -538.179962, -506.060977, -371.914819, -114.413714, 1427.64716, 1823.98063, 1923.64426, 2575.69561, 6217.63839, 9780.37322, 16019.0778, 27688.9297, 46640.1621, 78342.7864, 145553.488, 200330.975, 204985.626, 196733.976, 183520.692, 164854.785, 142255.175, 117636.798, 92779.5835, 69463.4617},
472  {8.67660924, 8.32370542, 8.00786559, 7.72441883, 7.46869424, 7.23602091, 7.02172791, 6.82114435, 6.6295993, 6.44242186, 6.25494111, 6.06248614, 5.86038604, 5.64396989, 5.36030655, 5.0352547, 4.69832613, 4.35472116, 4.0096401, 3.66828328, 3.33585102, 3.07039037, 2.81695643, 2.57345101, 2.33777595, 2.10783307, 1.88152419, 1.63946016, 1.36484999, 1.09694022, 0.840653377, 0.600911977, 0.382638539, 0.190755583, 0.61184877, 1.28287839, 1.79677541, 2.03948795, 1.89696414, 1.25515211, 0, -1.78730835, -4.44302392, -8.10816197, -12.9237377, -19.0307665, -26.5702635, -37.9782779, -55.3460025, -73.3267645, -91.1297216, -107.964032, -123.038852, -135.563341, -253.40089, -407.025591, -518.686891, -565.369623, -524.05862, -371.738712, -85.3947335, 1642.39205, 2114.71184, 2223.45834, 2860.52525, 5983.2463, 9855.43663, 16647.5077, 28529.8711, 46469.7646, 76247.1207, 140366.291, 192371.438, 195823.168, 187334.435, 174699.255, 157267.568, 136599.006, 113858.512, 90345.5841, 67359.7194},
473  {6.43126977, 6.27531737, 6.08715296, 5.87043508, 5.62882228, 5.3659731, 5.08554609, 4.7911998, 4.48659277, 4.17538354, 3.86123066, 3.54779269, 3.23872816, 2.93769562, 2.6778981, 2.44430419, 2.21964611, 2.00153933, 1.78759931, 1.57544153, 1.36268145, 1.11185147, 0.860495329, 0.611073717, 0.366047309, 0.127876785, -0.100977178, -0.325939738, -0.551251114, -0.755594685, -0.933307868, -1.07872808, -1.18619273, -1.25003925, -0.612569755, 0.319398433, 1.08969179, 1.57060448, 1.63443064, 1.15346443, 0, -1.83248891, -4.60962345, -8.47584522, -13.5755958, -20.0533167, -28.0534496, -40.4072577, -59.5422772, -79.1784521, -98.3692881, -116.168291, -131.628966, -143.804819, -261.626797, -414.639536, -524.070431, -566.498467, -518.502627, -356.661892, -57.5552467, 1284.42393, 1733.93985, 2047.08474, 2979.95078, 6611.84084, 10434.936, 16793.1685, 28030.4706, 45936.7797, 74518.013, 131486.776, 178779.249, 186637.764, 180981.383, 168083.622, 149637.232, 129364.855, 107450.345, 85283.9669, 64255.9838},
474  {5.29448937, 5.04323248, 4.77966155, 4.50506682, 4.22073848, 3.92796675, 3.62804184, 3.32225395, 3.0118933, 2.69825009, 2.38261454, 2.06627686, 1.75052725, 1.43665593, 1.13009179, 0.829506878, 0.53326, 0.241794828, -0.0444449594, -0.325015685, -0.599473671, -0.889773659, -1.16998018, -1.43655617, -1.68596459, -1.91466838, -2.11913049, -2.29959983, -2.45575642, -2.57501055, -2.65228792, -2.68251428, -2.66061534, -2.58151683, -1.71284295, -0.509613024, 0.518100112, 1.22660722, 1.47221906, 1.1112464, 0, -2.14884821, -5.31551114, -9.6238405, -15.197688, -22.1609055, -30.6373446, -43.7251104, -64.075391, -84.7002585, -104.515922, -122.438591, -137.384475, -148.269783, -263.962577, -413.823124, -518.888817, -555.586124, -500.34151, -329.581443, -19.7323883, 1253.13033, 1722.01745, 2095.46885, 3082.02438, 6471.78476, 10305.4467, 16589.4126, 27330.0851, 43794.8627, 70207.1597, 123503.677, 168501.148, 178068.16, 173279.753, 159892.662, 141050.456, 122301.905, 102188.135, 81639.254, 61585.3689},
475  {4.84351675, 4.51636659, 4.18454238, 3.84828129, 3.50782051, 3.16339724, 2.81524864, 2.46361192, 2.10872426, 1.75082284, 1.39014485, 1.02692748, 0.661407912, 0.293823333, -0.0856447143, -0.470397806, -0.853076352, -1.23138637, -1.60303387, -1.96572487, -2.31716538, -2.67235893, -3.00932511, -3.32338105, -3.60984386, -3.86403063, -4.0812585, -4.26199265, -4.40592472, -4.49606216, -4.52563179, -4.48786044, -4.37597493, -4.18320209, -3.08069225, -1.58172083, -0.261790799, 0.717722075, 1.19544202, 1.00999325, 0, -2.44350491, -5.97249041, -10.6865168, -16.6851445, -24.0679338, -32.934445, -46.6456857, -68.0725919, -89.5162313, -109.751912, -127.554941, -141.700627, -150.964279, -263.324215, -408.47352, -507.839091, -537.859663, -474.973969, -295.620744, 23.7612774, 1419.05114, 1935.38659, 2283.16973, 3172.80264, 6234.3338, 9909.7101, 16012.9004, 26357.8738, 42320.9255, 67029.0451, 114093.299, 154438.174, 165687.996, 163355.177, 151948.899, 134753.464, 116800.69, 97357.2159, 77655.0931, 58926.3714},
476  {4.82260682, 4.44699608, 4.06271369, 3.67030988, 3.27033492, 2.86333905, 2.44987252, 2.0304856, 1.60572854, 1.17615158, 0.742304977, 0.304738993, -0.135996125, -0.579350123, -1.0338924, -1.49330357, -1.95057395, -2.40328793, -2.84902991, -3.2853843, -3.70993548, -4.15038129, -4.57003383, -4.96231861, -5.32066118, -5.63848706, -5.90922177, -6.13521168, -6.31746272, -6.42806964, -6.45683582, -6.39356464, -6.22805947, -5.9501237, -4.63367847, -2.8479176, -1.23136316, 0.0388453389, 0.785568377, 0.831666437, 0, -2.65228347, -6.43086025, -11.4071197, -17.652451, -25.2382436, -34.2358866, -48.1992661, -70.1589809, -91.8593735, -111.957828, -129.111727, -141.978456, -149.215398, -255.278804, -391.897309, -482.791038, -504.977092, -435.47257, -251.294572, 70.5398011, 1522.76762, 2063.48009, 2388.61223, 3194.09905, 6026.91803, 9483.77153, 15281.8373, 25138.2933, 40758.8599, 63895.0867, 104532.188, 139701.079, 151597.138, 151500.514, 142684.992, 127836.263, 110418.605, 91370.037, 72489.8072, 55577.1629},
477  {5.12537602, 4.67830998, 4.22600324, 3.7684454, 3.30562605, 2.8375348, 2.36416125, 1.88549499, 1.40152563, 0.91224276, 0.417635984, -0.0823050996, -0.587590892, -1.09823179, -1.62810779, -2.16845532, -2.70946099, -3.24829829, -3.78214069, -4.30816171, -4.82353482, -5.36894761, -5.89204989, -6.38400556, -6.83597852, -7.23913267, -7.58463191, -7.87544036, -8.11274905, -8.25950615, -8.30208429, -8.22685609, -8.02019418, -7.66847118, -6.16973237, -4.13556985, -2.25238776, -0.708712917, 0.306927866, 0.606007777, 0, -2.81622665, -6.7603839, -11.8667879, -18.1697546, -25.7036003, -34.5026409, -48.1725756, -69.7824605, -90.8270269, -109.890495, -125.557084, -136.411015, -141.036506, -236.673829, -359.497024, -438.212308, -451.224619, -376.938899, -193.760087, 119.906876, 1347.48589, 1851.26156, 2237.22252, 3111.35744, 5837.1687, 9152.11593, 14571.197, 23609.4097, 37622.2754, 58603.2218, 96635.7552, 129169.689, 138671.701, 138033.642, 130473.028, 117553.059, 101287.315, 83542.1718, 66234.1913, 51279.9336},
478  {6.07046285, 5.585625, 5.08344396, 4.56462091, 4.02985707, 3.47985361, 2.91531175, 2.33693266, 1.74541756, 1.14146763, 0.52578407, -0.100931924, -0.737979157, -1.38465643, -2.06000494, -2.75083438, -3.44246004, -4.13014258, -4.80914267, -5.47472097, -6.12213813, -6.78464611, -7.41426743, -8.00101589, -8.53490532, -9.0059495, -9.40416227, -9.73401699, -9.99781433, -10.1509936, -10.1776975, -10.0620689, -9.78825047, -9.34038497, -7.63854184, -5.34000051, -3.18258604, -1.3680886, -0.0982983435, 0.424994576, 0, -3.08931915, -7.32137822, -12.6888395, -19.1843653, -26.8006179, -35.5302595, -49.0355546, -70.427366, -90.9239181, -109.027897, -123.241988, -132.068878, -134.011252, -220.744836, -331.830711, -399.777169, -404.029121, -324.031477, -139.229147, 170.932957, 1189.77782, 1682.44204, 2145.68871, 3076.28091, 5592.05626, 8657.798, 13515.5527, 21407.3669, 32906.4806, 51261.3599, 89151.949, 120385.793, 124416.287, 122483.423, 118297.419, 109902.396, 95063.6149, 78327.8777, 61930.0868, 48105.1446},
479  {7.30722818, 6.78165834, 6.2222456, 5.63092945, 5.00964936, 4.36034482, 3.6849553, 2.98542031, 2.26367931, 1.52167178, 0.761337221, -0.0153848974, -0.80655509, -1.61023387, -2.44139153, -3.2873914, -4.13431683, -4.97676958, -5.80935141, -6.62666409, -7.42330939, -8.25801351, -9.05239776, -9.79220786, -10.4631895, -11.0510886, -11.5416507, -11.9223401, -12.1803631, -12.2973559, -12.2583665, -12.0484429, -11.652633, -11.0559848, -9.17566822, -6.67227475, -4.28722941, -2.22400572, -0.686077233, 0.123082519, 0, -2.92215445, -6.95377737, -12.0686214, -18.2404393, -25.4429835, -33.6500069, -46.3563417, -66.5277358, -85.7186384, -102.473131, -115.335294, -122.849209, -123.558957, -201.015913, -299.988234, -358.809399, -358.63595, -280.62443, -105.93138, 184.286659, 1171.02488, 1639.01505, 2052.88883, 2877.27786, 5016.97965, 7850.88622, 12371.824, 19572.6195, 29795.4396, 45985.0894, 79044.5536, 106928.722, 112598.551, 111337.789, 106287.883, 97341.2319, 84708.7183, 70576.344, 56456.772, 43862.6649},
480  {9.20514842, 8.63722588, 8.01374915, 7.3382654, 6.6143218, 5.8454655, 5.03524369, 4.18720353, 3.30489219, 2.39185683, 1.45164463, 0.487802757, -0.496121627, -1.49658135, -2.52715272, -3.5734562, -4.61981607, -5.65918269, -6.68450644, -7.68873768, -8.66482677, -9.67964643, -10.6420155, -11.5346751, -12.3403666, -13.0418309, -13.6218094, -14.0573956, -14.3265315, -14.4254627, -14.3392234, -14.0528478, -13.5513704, -12.8198253, -10.7519076, -8.02303678, -5.39124208, -3.06478227, -1.25191614, -0.160902459, 0, -2.89490659, -6.87163049, -11.873619, -17.8443194, -24.727179, -32.4656451, -44.1354082, -62.3415014, -79.5378213, -94.3960238, -105.587765, -111.784701, -111.658487, -179.78201, -266.811531, -317.657921, -315.467867, -243.388055, -84.5651731, 177.854093, 1055.49709, 1480.67478, 1860.11891, 2600.56127, 4472.5578, 6985.40964, 10982.4341, 17306.9484, 26267.2918, 40311.7159, 68486.5005, 92528.7394, 98412.2179, 97620.7655, 92766.4715, 84466.186, 73852.4758, 61990.28, 49967.5925, 38872.4072},
481  {11.9539984, 11.396919, 10.7419251, 9.9961151, 9.16658737, 8.26044025, 7.28477208, 6.24668123, 5.15326603, 4.01162485, 2.82885603, 1.61205793, 0.368328902, -0.895232707, -2.18239559, -3.47918686, -4.77081105, -6.04794703, -7.3012737, -8.52146993, -9.69921461, -10.888297, -12.0075697, -13.0389955, -13.9645373, -14.7661581, -15.4258207, -15.9226181, -16.2360743, -16.3550149, -16.262568, -15.9418619, -15.3760248, -14.548185, -12.3130815, -9.36766573, -6.49430298, -3.90692415, -1.81946011, -0.445841767, 0, -2.83192104, -6.72447656, -11.5965936, -17.367199, -23.95522, -31.2795835, -42.0007638, -58.3672847, -73.7427208, -86.9328428, -96.7434215, -101.980228, -101.449032, -160.189052, -235.106538, -278.094161, -274.410187, -209.312884, -68.0605165, 164.088647, 884.061076, 1259.43462, 1620.23501, 2296.48794, 3967.08945, 6101.52072, 9448.44848, 14756.5395, 22360.0286, 34250.8782, 58000.5016, 78152.0784, 82774.3965, 82064.3976, 78248.386, 71601.9274, 62799.6613, 52870.6706, 42723.2044, 33265.5121},
482  {15.6671109, 15.2502665, 14.6526298, 13.8888203, 12.9734576, 11.921161, 10.7465502, 9.46424457, 8.0888636, 6.63502681, 5.11735366, 3.55046366, 1.94897629, 0.327511038, -1.28246908, -2.87699986, -4.45339206, -6.0004714, -7.5070636, -8.96199437, -10.3540894, -11.7138662, -12.9827007, -14.1436609, -15.1798145, -16.0742294, -16.8099733, -17.3781596, -17.7686925, -17.9454023, -17.8880901, -17.576557, -16.9906041, -16.1100324, -13.7676545, -10.6688606, -7.60586307, -4.79307008, -2.4448898, -0.775730382, 0, -2.42321699, -5.8798827, -10.2956087, -15.5960064, -21.7066874, -28.5532632, -38.631874, -54.0524075, -68.5940473, -81.1386877, -90.568223, -95.7645474, -95.6095552, -144.935686, -207.230314, -241.745606, -235.919234, -177.18887, -52.9921887, 149.233139, 762.447176, 1093.2023, 1412.08142, 1989.66745, 3399.62048, 5164.93501, 7919.88365, 12298.739, 18650.8127, 28465.2603, 47623.0852, 63949.4113, 68060.681, 67420.7648, 63840.1625, 57976.2463, 51008.8496, 43181.0877, 35055.4132, 27194.2787},
483  {20.7028796, 20.5861279, 20.1539088, 19.4333935, 18.4517532, 17.2361592, 15.8137827, 14.2117952, 12.4573677, 10.5776715, 8.59987803, 6.55115842, 4.45868398, 2.34962596, 0.323808252, -1.63755819, -3.5587619, -5.42749212, -7.23143807, -8.95828898, -10.5957341, -12.1542692, -13.5956273, -14.9043477, -16.06497, -17.0620336, -17.8800781, -18.5192514, -18.9773562, -19.2016102, -19.1702154, -18.8613735, -18.2532866, -17.3241566, -14.8846365, -11.6515239, -8.42999473, -5.43706336, -2.88974419, -1.00505161, 0, -2.21275942, -5.44624247, -9.62451741, -14.6716525, -20.511716, -27.0687761, -36.3999129, -50.2416955, -63.4179179, -74.9865771, -84.00567, -89.5331937, -90.6271451, -131.051248, -181.582493, -209.613846, -205.059116, -157.832113, -57.8466478, 104.98347, 594.229003, 862.120608, 1121.81634, 1586.47426, 2713.72533, 4113.69602, 6292.90951, 9757.88901, 14790.8997, 22571.2387, 37853.8867, 50706.6617, 53429.424, 52491.7453, 49449.0084, 44759.2656, 39356.2846, 33368.3027, 27198.171, 21248.7405},
484  {26.2786764, 26.8149455, 26.8307674, 26.3716265, 25.4830075, 24.2103949, 22.5992733, 20.6951271, 18.5434409, 16.1896994, 13.679387, 11.0579882, 8.37098771, 5.66386998, 3.13542106, 0.734146418, -1.60305272, -3.86204835, -6.02871249, -8.08891713, -10.0285343, -11.8312131, -13.4853554, -14.9771402, -16.2927466, -17.4183534, -18.3401396, -19.061775, -19.584301, -19.8520745, -19.8441726, -19.5396726, -18.9176517, -17.9571871, -15.4599763, -12.1499111, -8.84000616, -5.75016203, -3.10027925, -1.11025839, 0, -2.18440409, -5.3852273, -9.51922572, -14.5031554, -20.2537726, -26.6878332, -35.1634238, -46.8220536, -58.1340934, -68.4310726, -77.0445209, -83.305968, -86.5469435, -119.067102, -159.342218, -183.352521, -183.686185, -152.931381, -83.6762811, 31.4909424, 378.75362, 568.315242, 756.471386, 1099.51763, 1936.39386, 2972.8742, 4584.42565, 7146.5152, 10821.9368, 16624.1765, 28601.6773, 38298.484, 39062.8219, 37650.5301, 35460.6162, 32288.2609, 28204.785, 23780.7761, 19416.6161, 15512.6874},
485  {30.7209326, 32.3181309, 33.1233752, 33.2056257, 32.6338428, 31.4769868, 29.804018, 27.6838966, 25.1855831, 22.3780376, 19.3302205, 16.1110921, 12.7896127, 9.43474254, 6.36402724, 3.48917116, 0.703061833, -1.97618648, -4.53045955, -6.94164312, -9.19162296, -11.192986, -13.0064874, -14.6235837, -16.0357312, -17.2343863, -18.2110054, -18.9885104, -19.5850951, -19.9169783, -19.9628406, -19.7013622, -19.1112237, -18.1711055, -15.6711163, -12.3418315, -9.00379556, -5.87880157, -3.18864237, -1.15511088, 0, -2.05100706, -5.1331807, -9.17747401, -14.1148401, -19.8762319, -26.3926027, -34.3899995, -44.4749973, -54.6773882, -64.6052914, -73.8668264, -82.0701122, -88.8232684, -115.820738, -148.698752, -171.421702, -179.080132, -166.764588, -129.565612, -62.5737494, 153.460398, 267.996353, 383.268615, 601.511685, 1178.28366, 1837.62182, 2865.74751, 4548.88207, 7038.95973, 11025.0632, 19420.5602, 26011.4796, 25852.1266, 24394.1761, 22732.7513, 20557.3096, 17767.5076, 14827.8707, 12010.3547, 9586.91506},
486  {33.2118217, 37.2674517, 40.093284, 41.7904447, 42.4600599, 42.2032557, 41.1211581, 39.3148933, 36.8855873, 33.9343662, 30.5623561, 26.870683, 22.9604731, 18.9328525, 15.2375346, 11.7551279, 8.33985421, 5.02153894, 1.83000748, -1.20491475, -4.05340236, -6.52948658, -8.78104985, -10.7998312, -12.5775698, -14.1060045, -15.3768746, -16.3943759, -17.1608327, -17.6381981, -17.8131533, -17.6723794, -17.2025577, -16.3903692, -14.1693483, -11.1924007, -8.19215066, -5.37069192, -2.93011813, -1.07252293, 0, -1.59714616, -4.1511867, -7.63185005, -12.0088647, -17.251959, -23.3308615, -30.4691984, -38.8524451, -47.8432309, -57.3081937, -67.1139712, -77.1272012, -87.2145214, -108.962979, -134.824838, -156.365179, -171.053327, -176.358606, -169.750341, -148.697858, -43.8984837, 2.44346809, 43.0311626, 130.567765, 428.429069, 716.326467, 1179.76921, 2004.26657, 3330.98416, 5478.46212, 9981.34654, 13433.8445, 13098.0778, 12052.9428, 10942.9317, 9628.42492, 8131.29836, 6611.55752, 5182.11805, 3955.89562},
487  {32.9833959, 41.9638812, 49.0019939, 54.2435725, 57.834455, 59.9204799, 60.6474854, 60.1613096, 58.6077911, 56.1327678, 52.8820783, 49.0015607, 44.6370532, 39.9343943, 35.4826326, 31.14723, 26.7600988, 22.3764224, 18.0513838, 13.8401663, 9.79795311, 6.2160221, 2.8808555, -0.184969778, -2.95887684, -5.41828877, -7.54062865, -9.21369604, -10.3387575, -11.1075362, -11.5338454, -11.6314981, -11.4143075, -10.8960868, -9.48107211, -7.56869726, -5.60453816, -3.72709184, -2.07485534, -0.786325716, 0, -0.605736375, -1.88690262, -3.87822766, -6.6144404, -10.1302698, -14.4604447, -19.5041537, -25.1809518, -31.8496605, -39.6000426, -48.5218608, -58.7048776, -70.2388559, -84.6194615, -101.047078, -118.615667, -137.127426, -156.384551, -176.18924, -196.343689, -174.409178, -186.787085, -223.983128, -276.503022, -332.503198, -388.284267, -431.532825, -449.935465, -441.679614, -362.949371, -45.2891724, 163.197081, -19.4728738, -202.899705, -322.640033, -440.529833, -632.727459, -791.822389, -872.984671, -831.384353}
488  };
489 
490  const double b4tab[21][81] = {
491  {-76.9329587, -74.9120768, -72.8831959, -70.8465369, -68.8023206, -66.750768, -64.6921, -62.6265373, -60.554301, -58.4756119, -56.3906909, -54.2997588, -52.2030367, -50.1007452, -47.9461158, -45.769095, -43.6031866, -41.4582228, -39.3440357, -37.2704577, -35.247321, -33.4197451, -31.6435908, -29.9100064, -28.2101399, -26.5351394, -24.8761532, -23.2108204, -21.5188101, -19.8235718, -18.1217387, -16.4099441, -14.6848212, -12.943003, -11.4512563, -10.0353269, -8.50051257, -6.78819309, -4.83974807, -2.59655716, 0, 2.76386468, 6.03212818, 9.89720271, 14.4515005, 19.7874337, 25.9974146, 34.7489177, 47.4727453, 60.495156, 73.2690363, 85.2472724, 95.8827507, 104.628358, 205.529346, 338.199126, 435.090883, 476.309414, 441.959521, 312.146002, 66.9736571, -1739.1593, -2089.86491, -1995.19665, -2465.208, -8373.90658, -11200.2837, -16591.1008, -30193.1191, -52541.1941, -104617.805, -252880.445, -373123.584, -369854.392, -339140.269, -301672.616, -256155.659, -206854.116, -157777.913, -113023.84, -76688.683},
492  {-61.0665593, -59.5405326, -57.9862446, -56.4062639, -54.803159, -53.1794984, -51.5378507, -49.8807845, -48.2108684, -46.5306708, -44.8427603, -43.1497056, -41.4540751, -39.7584374, -38.0534102, -36.3491224, -34.6566071, -32.9808773, -31.326946, -29.6998262, -28.1045309, -26.6183587, -25.1640537, -23.736646, -22.3311654, -20.9426417, -19.5661048, -18.1863601, -16.7897493, -15.3957502, -14.0035442, -12.6123126, -11.2212368, -9.82949807, -8.82586569, -7.96306628, -6.96433642, -5.74917049, -4.23706286, -2.3475079, 0, 2.5232123, 5.71548762, 9.70743045, 14.6296452, 20.6127364, 27.7873085, 38.0516951, 53.0386074, 68.6518075, 84.304145, 99.4084695, 113.377631, 125.624478, 248.967192, 411.077997, 531.044831, 585.084421, 549.413493, 400.248775, 113.806991, -2210.93178, -2654.26793, -2462.11744, -2880.39627, -8492.70369, -12312.0249, -19589.4638, -35576.1242, -61261.328, -114681.525, -254898.409, -369567.039, -372005.489, -350069.387, -321533.332, -283016.134, -234619.989, -183669.342, -135026.499, -93553.7637},
493  {-46.6827849, -44.8401848, -43.166788, -41.64566, -40.2598663, -38.9924727, -37.8265445, -36.7451475, -35.7313471, -34.768209, -33.8387986, -32.9261816, -32.0134235, -31.0835898, -30.014852, -28.8566321, -27.666292, -26.4483527, -25.207335, -23.9477595, -22.6741473, -21.4036985, -20.1265034, -18.8453316, -17.5629529, -16.2821369, -15.0056532, -13.72913, -12.4492681, -11.1859141, -9.94473733, -8.7314073, -7.55159344, -6.41096523, -5.88317934, -5.61459444, -5.20857505, -4.55461355, -3.5422023, -2.06083366, 0, 2.40324205, 5.65496541, 9.91367872, 15.3378906, 22.0861097, 30.3168448, 42.2279784, 59.7109529, 78.0479007, 96.569279, 114.605545, 131.487156, 146.54457, 288.992582, 475.996345, 614.889334, 678.435238, 639.397747, 470.54055, 144.627335, -2932.79777, -3509.49445, -3113.86505, -3274.31192, -7801.70177, -12594.3728, -21919.6626, -40044.909, -67533.3141, -119764.622, -248260.16, -353625.192, -358898.889, -343194.683, -321641.463, -289396.778, -243276.737, -193434.545, -145476.652, -105009.505},
494  {-31.8683333, -30.9374697, -30.0361184, -29.1612377, -28.3097862, -27.4787223, -26.6650044, -25.865591, -25.0774406, -24.2975115, -23.5227623, -22.7501514, -21.9766372, -21.1991781, -20.3947106, -19.5728592, -18.7447638, -17.9114784, -17.0740568, -16.2335527, -15.3910199, -14.5491341, -13.7071032, -12.8657571, -12.0259258, -11.188439, -10.3541265, -9.51942752, -8.68144093, -7.85149525, -7.03220309, -6.22617708, -5.43602981, -4.66437391, -4.52962731, -4.64484193, -4.57645592, -4.201124, -3.3955009, -2.03624133, 0, 2.38547115, 5.75691422, 10.2999741, 16.2002957, 23.643524, 32.8153038, 46.2870767, 66.2717898, 87.2503757, 108.439769, 129.056905, 148.318717, 165.442141, 326.167472, 537.020431, 693.43557, 764.659679, 719.939552, 528.521982, 159.653759, -2608.91273, -3214.82827, -3099.76368, -3705.3898, -9026.72777, -14207.2007, -23752.4752, -42168.218, -71709.0263, -123633.775, -239923.275, -335811.755, -345417.838, -331331.384, -307187.809, -273154.191, -232810.415, -189553.475, -146842.712, -108137.47},
495  {-20.0302572, -19.6381658, -19.2053708, -18.7358815, -18.2337072, -17.7028571, -17.1473405, -16.5711667, -15.978345, -15.3728846, -14.7587948, -14.1400848, -13.520764, -12.9048416, -12.3275698, -11.7731935, -11.2235926, -10.6763859, -10.1291922, -9.57963022, -9.02531876, -8.41389128, -7.79985521, -7.18773265, -6.58204571, -5.98731649, -5.40806709, -4.86092485, -4.36069817, -3.88296412, -3.42732968, -2.99340183, -2.58078756, -2.18909385, -2.53214569, -3.15773313, -3.5595831, -3.59121517, -3.10614896, -1.95790403, 0, 2.50229889, 6.16408247, 11.1886959, 17.7794844, 26.139793, 36.472967, 51.7037552, 74.3479831, 98.1018087, 122.0636, 145.331724, 167.00455, 186.180444, 359.580345, 586.590006, 754.66385, 830.659851, 781.435983, 573.850219, 174.760534, -2303.86234, -2917.28492, -3028.24439, -3999.47794, -9783.43757, -15354.9138, -25184.2768, -43741.8967, -73989.5527, -124923.387, -233695.183, -322248.095, -329244.738, -315251.626, -293243.744, -262504.614, -225610.988, -185658.156, -145564.631, -108248.927},
496  {-12.6902541, -12.0962501, -11.5645809, -11.0876955, -10.6580429, -10.2680723, -9.91023253, -9.5769728, -9.26074213, -8.95398956, -8.64916416, -8.33871498, -8.01509107, -7.67074149, -7.21941031, -6.70333566, -6.17071324, -5.63009056, -5.09001513, -4.55903445, -4.04569602, -3.6434085, -3.26413833, -2.90471312, -2.56196047, -2.23270796, -1.91378321, -1.57505508, -1.19044332, -0.821236911, -0.475209569, -0.160134995, 0.116213103, 0.34606102, -0.359519246, -1.45087998, -2.31167396, -2.76944208, -2.65172521, -1.78606422, 0, 2.55805603, 6.42574797, 11.8198493, 18.9571337, 28.0543746, 39.3283455, 56.4541114, 82.5870872, 109.674877, 136.530078, 161.965285, 184.793094, 203.826103, 387.349059, 626.965857, 801.452096, 874.956242, 811.626764, 575.612131, 131.060809, -2646.10171, -3379.52842, -3502.81122, -4449.542, -9401.98794, -15480.3531, -26216.6228, -45142.7826, -73801.6903, -121692.714, -225579.161, -309758.77, -314876.602, -300584.785, -279611.063, -250946.073, -217184.806, -180241.945, -142264.098, -105397.871},
497  {-8.67512051, -8.41984217, -8.11450304, -7.76504885, -7.37742535, -6.95757828, -6.51145338, -6.04499641, -5.56415309, -5.07486918, -4.58309042, -4.09476254, -3.6158313, -3.15224244, -2.75719541, -2.4067431, -2.07336145, -1.75333087, -1.44293172, -1.1384444, -0.836149293, -0.476906124, -0.120069905, 0.230425007, 0.570644256, 0.896653486, 1.20451834, 1.50199322, 1.79507616, 2.05188364, 2.26373529, 2.42195074, 2.51784962, 2.54275157, 1.50268045, 0.0122575862, -1.23931314, -2.059178, -2.25448326, -1.63237517, 0, 2.61669024, 6.65957361, 12.3517224, 19.916209, 29.5761055, 41.5544845, 60.1388366, 89.0059252, 118.660334, 147.67485, 174.622262, 198.075357, 216.606923, 400.555509, 639.834256, 811.354392, 878.555439, 804.876918, 553.758348, 88.6392516, -2073.4964, -2770.75087, -3221.23308, -4643.05199, -10416.5871, -16426.3604, -26485.1848, -44405.8732, -73070.8069, -119084.093, -211386.946, -287977.184, -300412.52, -290833.052, -269475.859, -239172.615, -206071.305, -170460.078, -134624.763, -100851.19},
498  {-6.56467003, -6.16903661, -5.75562568, -5.32659038, -4.88408385, -4.43025922, -3.96726963, -3.49726822, -3.02240813, -2.54484249, -2.06672443, -1.5902071, -1.11744363, -0.650587158, -0.199108732, 0.23946785, 0.668172719, 1.08634956, 1.49334205, 1.88849387, 2.2711487, 2.67469139, 3.05972314, 3.42088631, 3.75282326, 4.05017636, 4.30758797, 4.52566205, 4.70410679, 4.82330965, 4.87549239, 4.85287677, 4.74768455, 4.55213748, 3.1606537, 1.25992955, -0.380239742, -1.54308576, -2.01184009, -1.5697343, 0, 3.08044718, 7.69909034, 14.0497285, 22.3261608, 32.7221862, 45.4316038, 65.1716839, 95.9799915, 127.234189, 157.2914, 184.508749, 207.243361, 223.85236, 404.978382, 639.990109, 805.214965, 863.770499, 778.774256, 513.343783, 30.596626, -2021.49672, -2750.28202, -3299.07912, -4811.2079, -10199.2299, -16242.3468, -26206.9516, -43359.4371, -69736.4892, -112293.622, -198712.494, -271662.186, -286963.163, -278845.454, -256704.337, -225749.505, -195124.667, -162423.052, -129175.57, -96913.1306},
499  {-5.56124504, -5.05499527, -4.54410271, -4.02898833, -3.51007309, -2.98777796, -2.46252392, -1.93473193, -1.40482298, -0.873218021, -0.340338033, 0.193396014, 0.727563151, 1.26174241, 1.81049577, 2.36392399, 2.91099369, 3.44821924, 3.97211504, 4.47919548, 4.96597494, 5.4534668, 5.91030297, 6.32961438, 6.70453194, 7.02818655, 7.29370913, 7.50304539, 7.65681649, 7.72707617, 7.70337626, 7.57526857, 7.33230493, 6.96403715, 5.21864841, 2.87098488, 0.789858834, -0.781266194, -1.59892669, -1.41965913, 0, 3.51847295, 8.6793345, 15.6411182, 24.5623574, 35.6015858, 48.9173368, 69.6540832, 102.207101, 134.812973, 165.605781, 192.719607, 214.288534, 228.446643, 404.925127, 633.30511, 790.178568, 838.580815, 741.547159, 462.112912, -36.6866138, -2284.05963, -3089.80009, -3601.01998, -4964.8313, -9839.3587, -15644.5593, -25340.7457, -41888.2307, -67517.4983, -107378.347, -183709.23, -249142.889, -267254.155, -263181.338, -244282.62, -216004.911, -186655.952, -155011.43, -123096.606, -92936.7449},
500  {-5.27365126, -4.70375745, -4.12317741, -3.53283143, -2.93363981, -2.32652285, -1.71240084, -1.09219407, -0.466822831, 0.162792571, 0.795731847, 1.4310747, 2.06790084, 2.70528998, 3.35530245, 4.00880637, 4.65568726, 5.29236974, 5.91527844, 6.52083796, 7.10547294, 7.70873069, 8.27795759, 8.80362274, 9.27619522, 9.6861441, 10.0239385, 10.2953378, 10.5038039, 10.603245, 10.5779216, 10.4120945, 10.0900245, 9.59597211, 7.53027008, 4.75265703, 2.22762887, 0.222517333, -0.995345823, -1.15862885, 0, 3.83543963, 9.37725417, 16.7425749, 26.048533, 37.4122599, 50.9508867, 72.1330057, 105.623088, 138.74231, 169.43494, 195.645242, 215.317483, 226.395929, 393.567701, 609.294928, 753.418037, 789.775422, 682.205474, 394.546589, -109.362842, -2448.65246, -3295.332, -3774.37078, -5010.73815, -9531.90674, -15003.3467, -24233.018, -40028.8803, -65171.9598, -102551.017, -168472.081, -225525.938, -244736.343, -244336.067, -229668.948, -205209.544, -176713.735, -145681.396, -115063.321, -87810.301},
501  {-5.56216828, -4.89659609, -4.22510258, -3.54780906, -2.86483687, -2.17630733, -1.48234175, -0.783061461, -0.0785877887, 0.630957947, 1.34545442, 2.06478032, 2.78881431, 3.51743507, 4.26997829, 5.03401407, 5.7956397, 6.55075409, 7.29525615, 8.02504478, 8.7360189, 9.48666324, 10.2016473, 10.8682266, 11.4736563, 12.005192, 12.4500888, 12.8159221, 13.1072135, 13.2626317, 13.2611816, 13.081868, 12.7036959, 12.1056701, 9.77307445, 6.62984725, 3.71299499, 1.30705091, -0.303451771, -0.833979815, 0, 4.0926515, 9.89657631, 17.4740066, 26.8871747, 38.1983126, 51.4696528, 72.2842673, 105.395656, 137.665093, 166.91317, 190.960483, 207.627624, 214.735188, 366.046031, 560.731102, 686.157209, 708.248243, 592.928098, 306.120667, -186.250159, -2169.11327, -2959.58379, -3540.04735, -4892.88955, -9245.41646, -14509.2179, -23160.5721, -37675.7573, -60261.3122, -94202.7332, -155991.43, -208832.763, -224134.522, -222840.103, -210216.716, -188897.934, -162270.56, -133342.115, -105249.421, -81129.3001},
502  {-6.81819222, -6.11133366, -5.37916772, -4.62300956, -3.84417433, -3.04397719, -2.22373331, -1.38475784, -0.528365933, 0.34412724, 1.23140652, 2.13215676, 3.04506279, 3.96880946, 4.92891572, 5.90709105, 6.88301372, 7.84987985, 8.8008856, 9.72922711, 10.6281005, 11.5449591, 12.4112486, 13.2126719, 13.9349318, 14.5637312, 15.0847729, 15.5091816, 15.8442621, 16.0149308, 15.9965684, 15.7645555, 15.2942731, 14.5611019, 11.9296181, 8.39420326, 5.07116982, 2.26537526, 0.281677096, -0.575067161, 0, 4.52295874, 10.7820589, 18.7767731, 28.5065737, 39.9709333, 53.1693243, 73.8052084, 106.724954, 138.289145, 166.181252, 188.084742, 201.683088, 204.659757, 342.470831, 519.318287, 628.218366, 636.62887, 512.007604, 221.812371, -266.499026, -1911.56176, -2686.45663, -3397.68549, -4851.75019, -8873.56267, -13757.553, -21532.3054, -34226.4041, -52759.5347, -82486.9772, -144214.754, -195045.015, -201335.676, -197880.8, -190780.071, -176865.566, -152524.57, -125191.137, -98533.3628, -76219.3402},
503  {-8.50563467, -7.75712742, -6.95769135, -6.11052505, -5.21882713, -4.28579619, -3.31463085, -2.30852971, -1.27069137, -0.204314439, 0.887402479, 2.00126078, 3.13406185, 4.2826071, 5.46637267, 6.66781582, 7.86767744, 9.05812097, 10.2313099, 11.3794076, 12.4945777, 13.6589526, 14.7623014, 15.7843622, 16.7048731, 17.5035721, 18.1601975, 18.6635354, 19.0010128, 19.1307322, 19.0287581, 18.6711545, 18.0339858, 17.0933162, 14.2022937, 10.3636453, 6.70294558, 3.52821283, 1.14746542, -0.131278303, 0, 4.29175776, 10.2722567, 17.9121975, 27.182281, 38.0532079, 50.495679, 69.9784769, 101.144231, 130.817102, 156.735391, 176.637403, 188.261439, 189.345803, 312.838843, 470.944493, 565.631885, 566.983223, 445.080713, 170.006561, -288.157028, -1883.52972, -2621.96049, -3258.96568, -4550.06164, -7974.90776, -12502.8055, -19758.2359, -31365.6801, -47873.2169, -74134.5337, -128055.042, -173488.059, -182501.555, -180156.964, -171629.173, -156782.909, -136018.94, -112904.031, -89925.6229, -69571.1584},
504  {-11.1687064, -10.3817552, -9.50984147, -8.55865164, -7.53387206, -6.44118915, -5.28628928, -4.07485884, -2.81258425, -1.50515187, -0.158248107, 1.22244065, 2.631228, 4.06242757, 5.53237265, 7.02144711, 8.50836803, 9.98294507, 11.4349879, 12.8543061, 14.2307095, 15.6582985, 17.0081887, 18.2557864, 19.3764979, 20.3457297, 21.138888, 21.7312377, 22.0980647, 22.2151141, 22.0578497, 21.6017354, 20.8222351, 19.6948126, 16.5310094, 12.3588927, 8.33248143, 4.76758106, 1.97999707, 0.28553489, 0, 4.27317723, 10.1955007, 17.6913839, 26.6852403, 37.1014835, 48.8645268, 66.8206199, 95.0764473, 121.787751, 144.88052, 162.280745, 171.914416, 171.707522, 280.53568, 419.811704, 501.793056, 499.666481, 386.61872, 135.836519, -279.493379, -1700.41279, -2372.90976, -2959.46396, -4122.55508, -7123.68991, -11147.7518, -17576.0471, -27789.8824, -42285.6309, -65099.3987, -111099.244, -150308.439, -159708.128, -158151.438, -149949.174, -136152.92, -118673.915, -99244.0018, -79656.1808, -61703.4528},
505  {-15.0034096, -14.2724615, -13.3902868, -12.3680307, -11.2168388, -9.94785629, -8.57222864, -7.10110119, -5.54561934, -3.91692846, -2.22617391, -0.484501089, 1.29694464, 3.10701791, 4.94583587, 6.79512844, 8.63577297, 10.4543204, 12.2373218, 13.971328, 15.6428901, 17.328053, 18.911514, 20.3674642, 21.6700948, 22.793597, 23.712162, 24.4049746, 24.8504692, 25.0108968, 24.8584212, 24.3652061, 23.5034152, 22.2452121, 18.8383676, 14.3459026, 9.96136703, 6.00963498, 2.81558045, 0.704077447, 0, 4.20045209, 10.0199711, 17.3453243, 26.0632791, 36.0606028, 47.2240627, 63.77577, 89.2863988, 113.276414, 133.872294, 149.200516, 157.387561, 156.559905, 250.571061, 370.6642, 440.079422, 435.317615, 332.879666, 109.266463, -259.021108, -1425.77493, -2020.73533, -2582.30767, -3648.89731, -6332.28436, -9756.55346, -15148.1542, -23733.536, -36053.0643, -55391.4414, -94200.9791, -127087.449, -134450.543, -133052.038, -126571.412, -115494.953, -100976.185, -84692.8819, -68144.0964, -52828.88},
506  {-20.0462326, -19.591834, -18.8574763, -17.8657248, -16.639145, -15.200302, -13.5717613, -11.7760882, -9.8358481, -7.77360624, -5.611928, -3.37337873, -1.08052375, 1.24407159, 3.54735161, 5.82603928, 8.07916554, 10.2904016, 12.4434186, 14.5218878, 16.5094805, 18.4470624, 20.2532111, 21.9036989, 23.3742981, 24.6407807, 25.6789191, 26.486672, 27.0586643, 27.3176179, 27.2302965, 26.7634639, 25.8838841, 24.5583208, 20.9964813, 16.2766499, 11.6101121, 7.32302301, 3.74153784, 1.19181178, 0, 3.60418307, 8.78881258, 15.4502655, 23.4849188, 32.7891494, 43.2593342, 58.8619025, 82.9517093, 105.693172, 125.330096, 140.106285, 148.265546, 148.051682, 227.311307, 327.605162, 383.711452, 375.546468, 283.026502, 86.0678438, -235.413214, -1228.99871, -1754.62657, -2253.85336, -3168.23562, -5438.45292, -8274.89496, -12718.0611, -19808.4507, -30115.6316, -46092.8977, -77411.6011, -104063.578, -110627.87, -109379.491, -103312.972, -93537.7931, -82031.5276, -69184.4152, -55927.8351, -43193.1661},
507  {-26.6172289, -26.7224939, -26.3390842, -25.5085305, -24.272363, -22.6721124, -20.7493091, -18.5454836, -16.1021664, -13.460888, -10.6631789, -7.7505696, -4.76459053, -1.74677221, 1.14811707, 3.95018146, 6.69809673, 9.37349424, 11.9580054, 14.4332615, 16.7808939, 19.0100211, 21.0709912, 22.9416395, 24.5998012, 26.0233114, 27.1900054, 28.1121784, 28.7969475, 29.1397503, 29.1044301, 28.6548302, 27.754794, 26.3681648, 22.6649347, 17.7437439, 12.8390194, 8.2815219, 4.40201229, 1.53125138, 0, 3.30355828, 8.17110317, 14.4963509, 22.1730178, 31.0948201, 41.155474, 55.6343922, 77.3022458, 97.9571645, 116.118163, 130.304256, 139.034459, 140.827786, 205.93302, 287.492664, 333.21959, 326.961083, 252.564425, 93.876899, -165.25421, -957.708558, -1384.02209, -1791.95534, -2529.26882, -4346.7656, -6598.03722, -10114.4914, -15727.5357, -23898.7166, -36569.0259, -61556.1781, -82536.9717, -86855.432, -85156.2204, -80011.5735, -72196.0449, -63274.5668, -53448.24, -43383.1097, -33745.2212},
508  {-33.3425809, -34.5797467, -35.0142483, -34.7149696, -33.7507949, -32.1906082, -30.1032937, -27.5577354, -24.6228174, -21.3674239, -17.8604389, -14.1707467, -10.3672312, -6.51877659, -2.92507814, 0.49099202, 3.82403315, 7.05237166, 10.1543339, 13.1082464, 15.8924355, 18.472886, 20.8419704, 22.9797195, 24.8661641, 26.4813351, 27.8052633, 28.8560246, 29.6459781, 30.0641847, 30.0752278, 29.6436907, 28.7341567, 27.3112092, 23.5246129, 18.4870122, 13.4484249, 8.74464055, 4.71144862, 1.68463861, 0, 3.27487408, 8.11029377, 14.3888438, 21.9931088, 30.8056735, 40.7091226, 53.8891774, 72.1854853, 89.9735684, 106.200864, 119.81481, 129.762842, 134.992399, 187.316708, 252.240115, 291.265256, 292.52631, 244.157451, 134.292858, -48.9332942, -611.195059, -912.713132, -1208.30045, -1752.76996, -3101.57027, -4767.94823, -7367.47672, -11515.7286, -17477.6065, -26920.694, -46499.002, -62319.7035, -63452.8615, -61014.9319, -57316.892, -52034.8045, -45306.6837, -38057.6528, -30944.5013, -24624.0188},
509  {-37.4574626, -40.5138186, -42.3515766, -43.0745254, -42.7864534, -41.5911492, -39.5924013, -36.8939983, -33.5997288, -29.8133813, -25.6387443, -21.1796065, -16.5397563, -11.8229823, -7.50072163, -3.444187, 0.503238223, 4.31296495, 7.9564041, 11.4049666, 14.6300634, 17.4882773, 20.0817059, 22.3976185, 24.4232848, 26.1459741, 27.5529558, 28.6894543, 29.5919855, 30.1092422, 30.2049623, 29.8428838, 28.9867447, 27.6002828, 23.8125351, 18.747878, 13.6695669, 8.91661274, 4.82802626, 1.74281839, 0, 3.08152086, 7.74939156, 13.9085616, 21.4639804, 30.3205975, 40.3833624, 52.8391957, 68.6823865, 84.7525449, 100.434099, 115.111476, 128.169105, 138.991414, 182.3011, 235.127472, 271.82489, 284.54963, 265.45797, 206.706186, 100.450556, -248.727491, -430.444526, -610.947882, -956.48489, -1884.44788, -2941.59479, -4595.54455, -7313.91607, -11342.7906, -17814.4, -31506.4558, -42234.9855, -41893.8713, -39432.2948, -36652.8, -33051.8461, -28475.7232, -23677.4838, -19101.0555, -15190.3661},
510  {-37.6999664, -44.6073811, -49.6529908, -52.9865426, -54.757784, -55.1164621, -54.2123245, -52.1951182, -49.2145908, -45.4204894, -40.9625614, -35.9905541, -30.6542148, -25.1032908, -19.9894335, -15.1448838, -10.3638909, -5.69354162, -1.18092301, 3.12687795, 7.18277429, 10.6916503, 13.8887022, 16.7610974, 19.2960035, 21.480588, 23.3020182, 24.7764267, 25.9155933, 26.6374274, 26.9173356, 26.7307249, 26.053002, 24.8595739, 21.493007, 16.9616489, 12.3974458, 8.10978864, 4.40806809, 1.60167494, 0, 2.41668115, 6.31100838, 11.6465188, 18.3867495, 26.4952375, 35.9355201, 47.0895956, 60.2765839, 74.4594328, 89.4317708, 104.987226, 120.919427, 137.022002, 171.755359, 213.104453, 247.641248, 271.341234, 280.179905, 270.132754, 237.175274, 68.9326989, -3.94063173, -66.6118504, -204.248089, -682.503503, -1141.34506, -1882.52258, -3207.78589, -5345.72218, -8817.56921, -16127.4291, -21722.5291, -21138.8662, -19403.4913, -17570.8586, -15415.6481, -12978.8405, -10515.9876, -8209.49146, -6241.75435},
511  {-32.9009557, -47.1404618, -58.5117179, -67.2253254, -73.4918858, -77.5220004, -79.5262706, -79.7152978, -78.2996834, -75.4900288, -71.4969354, -66.5310046, -60.8028378, -54.5230364, -48.5130929, -42.5971569, -36.5531358, -30.4666784, -24.4234333, -18.5090492, -12.8091746, -7.78310138, -3.0912324, 1.23238631, 5.15370873, 8.63868887, 11.6532807, 14.0420896, 15.667955, 16.7869894, 17.4144182, 17.5654669, 17.255361, 16.4993258, 14.343992, 11.4173216, 8.42059515, 5.56715624, 3.07034838, 1.14351512, 0, 0.972835271, 3.00103908, 6.14331829, 10.4583798, 16.0049303, 22.8416769, 30.8168166, 39.8101783, 50.3838214, 62.6819266, 76.8486743, 93.0282452, 111.36482, 134.169525, 160.215722, 188.112747, 217.561549, 248.263077, 279.918281, 312.228111, 279.105702, 299.57109, 358.81613, 442.032678, 530.434992, 619.026309, 688.225405, 718.451057, 706.837009, 583.657133, 81.7638928, -247.651353, 41.7735923, 332.221774, 521.477762, 706.957138, 1007.80801, 1256.61738, 1383.66396, 1319.22649}
512  };
513 
514  /* Stuff for interpolating the NQC data */
515  gsl_spline *spline = NULL;
516  gsl_interp_accel *acc = NULL;
517  /* Interpolate the spin NQC data in 2-D parameter space -- spin and mass ratio */
518  /* First, interpolate in spin dimension for all mass ratios */
519  spline = gsl_spline_alloc( gsl_interp_cspline, adim );
520  acc = gsl_interp_accel_alloc();
521  for (i = 0; i < qdim; i++)
522  {
523  gsl_spline_init( spline, alist, a3stab[i], adim );
524  gsl_interp_accel_reset( acc );
525  a3slist[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
526  gsl_spline_init( spline, alist, a4tab[i], adim );
527  gsl_interp_accel_reset( acc );
528  a4list[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
529  gsl_spline_init( spline, alist, a5tab[i], adim );
530  gsl_interp_accel_reset( acc );
531  a5list[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
532  gsl_spline_init( spline, alist, b3tab[i], adim );
533  gsl_interp_accel_reset( acc );
534  b3list[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
535  gsl_spline_init( spline, alist, b4tab[i], adim );
536  gsl_interp_accel_reset( acc );
537  b4list[i] = gsl_spline_eval( spline, a/(1.0-2.0*eta), acc );
538  // printf("%.15f\n",a3slist[i]);
539  }
540  //printf("%.15f\n",a);
541  gsl_spline_free(spline);
542  gsl_interp_accel_free(acc);
543  /* Second, interpolate in mass ratio dimension */
544  spline = gsl_spline_alloc( gsl_interp_cspline, qdim );
545  acc = gsl_interp_accel_alloc();
546  gsl_spline_init( spline, etalist, a3slist, qdim );
547  gsl_interp_accel_reset( acc );
548  coeffs->a3S = gsl_spline_eval( spline, eta, acc );
549  gsl_spline_init( spline, etalist, a4list, qdim );
550  gsl_interp_accel_reset( acc );
551  coeffs->a4 = gsl_spline_eval( spline, eta, acc );
552  gsl_spline_init( spline, etalist, a5list, qdim );
553  gsl_interp_accel_reset( acc );
554  coeffs->a5 = gsl_spline_eval( spline, eta, acc );
555  gsl_spline_init( spline, etalist, b3list, qdim );
556  gsl_interp_accel_reset( acc );
557  coeffs->b3 = gsl_spline_eval( spline, eta, acc );
558  gsl_spline_init( spline, etalist, b4list, qdim );
559  gsl_interp_accel_reset( acc );
560  coeffs->b4 = gsl_spline_eval( spline, eta, acc );
561  gsl_spline_free(spline);
562  gsl_interp_accel_free(acc);
563 
564  /* Interpolate nonspin NQC data in the mass ratio dimension */
565  spline = gsl_spline_alloc( gsl_interp_cspline, nsqdim );
566  acc = gsl_interp_accel_alloc();
567  gsl_spline_init( spline, nsetalist, a1list, nsqdim );
568  gsl_interp_accel_reset( acc );
569  coeffs->a1 = gsl_spline_eval( spline, eta, acc );
570  gsl_spline_init( spline, nsetalist, a2list, nsqdim );
571  gsl_interp_accel_reset( acc );
572  coeffs->a2 = gsl_spline_eval( spline, eta, acc );
573  gsl_spline_init( spline, nsetalist, a3list, nsqdim );
574  gsl_interp_accel_reset( acc );
575  coeffs->a3 = gsl_spline_eval( spline, eta, acc );
576  gsl_spline_init( spline, nsetalist, b1list, nsqdim );
577  gsl_interp_accel_reset( acc );
578  coeffs->b1 = gsl_spline_eval( spline, eta, acc );
579  gsl_spline_init( spline, nsetalist, b2list, nsqdim );
580  gsl_interp_accel_reset( acc );
581  coeffs->b2 = gsl_spline_eval( spline, eta, acc );
582  gsl_spline_free(spline);
583  gsl_interp_accel_free(acc);
584  /* Andrea and I have different sign conventions, so I need to put a minus sign in front */
585  coeffs->b1 = - coeffs->b1;
586  coeffs->b2 = - coeffs->b2;
587 #if 0
588  coeffs->a1 = -8.02798637014;
589  coeffs->a2 = 48.7446843797;
590  coeffs->a3 = -45.7900277224;
591  coeffs->a3S= 0.;
592  coeffs->a4 = 0.;
593  coeffs->a5 = 0.;
594  coeffs->b1 = 0.834742923041;
595  coeffs->b2 = -2.33512320852; // q=1
596 #endif
597 #if 0
598  coeffs->a1 = -7.79667;
599  coeffs->a2 = 47.182;
600  coeffs->a3 = 2238.85334023;
601  coeffs->a3S= 0.;
602  coeffs->a4 = -7143.16738899;
603  coeffs->a5 = 5596.0086893;
604  coeffs->b1 = 0.85069;
605  coeffs->b2 = -2.47071; // q=1, chi1=chi2=0.98
606 #endif
607 #if 0
608  coeffs->a1 = -6.82562365707;
609  coeffs->a2 = 41.5711482044;
610  coeffs->a3 = -39.4329799959;
611  coeffs->a3S= 0.;
612  coeffs->a4 = 0.;
613  coeffs->a5 = 0.;
614  coeffs->b1 = 0.461925688819;
615  coeffs->b2 = -1.38733263299; // q=8
616 #endif
617 #if 0
618  coeffs->a1 = -7.5758;
619  coeffs->a2 = 46.9323;
620  coeffs->a3 = -118.368375152;
621  //coeffs->a3 = -45.0036; // NS part
622  coeffs->a3S= 0.;
623  coeffs->a4 = 125.555824111;
624  coeffs->a5 = -22.0751068073;
625  //coeffs->a4 = 0.;
626  //coeffs->a5 = 0.;
627  coeffs->b1 = 0.51305;
628  coeffs->b2 = -1.55133; // q=8, chi1=0.5
629 #endif
630 #if 0
631  coeffs->a1 = -5.79216;
632  coeffs->a2 = 30.3902;
633  coeffs->a3 = 3329.40898295;
634  coeffs->a3S= 0.0;
635  coeffs->a4 = -11082.7670039;
636  coeffs->a5 = 9152.28860893;
637  coeffs->b1 = 0.974779;
638  coeffs->b2 = -3.34626;
639 #endif
640 
641  /* Obsolete polynomial fitting of nonspin NQC coefficients a1, a2, a3, b1 and b2 */
642  /*
643  coeffs->a1 = -12.67955358602124 + 75.41927959573084 * eta - 106.15933052937714 * eta2;
644  coeffs->a2 = 101.45522216901628 - 757.3158549733314 * eta + 1473.314771676588 * eta2;
645  coeffs->a3 = -107.6647834845902 + 857.6219519536213 * eta - 1776.2776804623143 * eta2;
646  // Andrea and I have different sign conventions, so I need to put a minus sign in front
647  coeffs->b1 = - (-1.464129495621165 + 12.81732978488213 * eta - 60.09957767247623 * eta2);
648  coeffs->b2 = - ( 7.477426352542122 - 85.26122117590637 * eta + 353.3251639728075 * eta2);
649  */
650 
651  return XLAL_SUCCESS;
652 
653 }
654 
655 /**
656  * ==================================================
657  *
658  * Below are three interpolation functions for
659  * max, med and min possible chiA values with given
660  * eta and chi values.
661  * They provide 2-D interpolation results for the
662  * 3-D interpolation function of SEOBNRv2
663  *
664  * ==================================================
665  */
666 
667 UNUSED static int XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmax( EOBNonQCCoeffs * restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a )
668 {
669  const unsigned int qdim = 98;
670  const unsigned int adim = 200;
671  UINT4 i;
672  /* REAL8 eta2 = eta*eta;*/
673  REAL8 a3slist[qdim], a4list[qdim], a5list[qdim];
674  REAL8 b3list[qdim], b4list[qdim];
675  REAL8 chiA;
676 
677  chiA = a/(1.0-2.0*eta);
678  if (chiA < -1.){
679  chiA = -1.;
680  }
681  if (chiA > 0.99){
682  chiA = 0.99;
683  }
684 
685  memset( coeffs, 0, sizeof( *coeffs ) );
686  const double alist[200] = {-1., -0.99, -0.98, -0.97, -0.96, -0.95, -0.94, -0.93, -0.92, -0.91, -0.9, -0.89, -0.88, -0.87, -0.86, -0.85, -0.84, -0.83, -0.82, -0.81, -0.8, -0.79, -0.78, -0.77, -0.76, -0.75, -0.74, -0.73, -0.72, -0.71, -0.7, -0.69, -0.68, -0.67, -0.66, -0.65, -0.64, -0.63, -0.62, -0.61, -0.6, -0.59, -0.58, -0.57, -0.56, -0.55, -0.54, -0.53, -0.52, -0.51, -0.5, -0.49, -0.48, -0.47, -0.46, -0.45, -0.44, -0.43, -0.42, -0.41, -0.4, -0.39, -0.38, -0.37, -0.36, -0.35, -0.34, -0.33, -0.32, -0.31, -0.3, -0.29, -0.28, -0.27, -0.26, -0.25, -0.24, -0.23, -0.22, -0.21, -0.2, -0.19, -0.18, -0.17, -0.16, -0.15, -0.14, -0.13, -0.12, -0.11, -0.1, -0.09, -0.08, -0.07, -0.06, -0.05, -0.04, -0.03, -0.02, -0.01, 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99};
687  const double etalist[98] = {0.0075, 0.01, 0.0125, 0.015, 0.0175, 0.02, 0.0225, 0.025, 0.0275, 0.03, 0.0325, 0.035, 0.0375, 0.04, 0.0425, 0.045, 0.0475, 0.05, 0.0525, 0.055, 0.0575, 0.06, 0.0625, 0.065, 0.0675, 0.07, 0.0725, 0.075, 0.0775, 0.08, 0.0825, 0.085, 0.0875, 0.09, 0.0925, 0.095, 0.0975, 0.1, 0.1025, 0.105, 0.1075, 0.11, 0.1125, 0.115, 0.1175, 0.12, 0.1225, 0.125, 0.1275, 0.13, 0.1325, 0.135, 0.1375, 0.14, 0.1425, 0.145, 0.1475, 0.15, 0.1525, 0.155, 0.1575, 0.16, 0.1625, 0.165, 0.1675, 0.17, 0.1725, 0.175, 0.1775, 0.18, 0.1825, 0.185, 0.1875, 0.19, 0.1925, 0.195, 0.1975, 0.2, 0.2025, 0.205, 0.2075, 0.21, 0.2125, 0.215, 0.2175, 0.22, 0.2225, 0.225, 0.2275, 0.23, 0.2325, 0.235, 0.2375, 0.24, 0.2425, 0.245, 0.2475, 0.25};
688 
689  /* YPtag: chiAmax tables below */
690  const double a3stab[98][200] = {{486.38171, 481.380476, 476.404729, 471.453495, 466.525797, 461.620659, 456.737106, 451.874162, 447.03085, 442.206196, 437.399224, 432.608957, 427.834419, 423.074636, 418.32863, 413.595427, 408.87405, 404.163524, 399.462873, 394.771121, 390.087292, 385.41041, 380.739499, 376.073585, 371.41169, 366.752839, 362.096057, 357.440367, 352.784793, 348.12836, 343.470092, 338.809014, 334.144148, 329.47452, 324.760718, 320.021792, 315.277256, 310.527379, 305.772434, 301.012693, 296.248427, 291.479906, 286.707404, 281.931191, 277.151539, 272.368718, 267.583002, 262.794661, 258.003967, 253.211191, 248.416604, 243.63398, 238.849796, 234.064031, 229.276664, 224.487673, 219.697037, 214.904735, 210.110747, 205.31505, 200.517623, 195.718446, 190.917497, 186.114756, 181.310199, 176.503808, 171.69556, 166.908623, 162.165606, 157.418664, 152.666274, 147.906911, 143.139051, 138.361168, 133.571739, 128.76924, 123.952146, 119.118932, 114.268074, 109.398049, 104.507331, 99.5943955, 94.6577192, 89.6957773, 84.6479933, 79.5436111, 74.412584, 69.255304, 64.0721631, 58.8635533, 53.6298665, 48.3714947, 43.0888299, 37.7822641, 32.4521892, 27.0989972, 21.7230801, 16.3248299, 10.9046385, 5.46289784, 0, -5.02236294, -10.0652441, -15.1402674, -20.2590568, -25.4332361, -30.6744295, -35.9942607, -41.4043538, -46.9163327, -52.5418212, -58.2924434, -64.1798232, -70.2155844, -76.4113512, -82.7787473, -89.3293967, -96.2039592, -103.432492, -110.734753, -118.150017, -125.717557, -133.476649, -141.466567, -149.726584, -158.295977, -167.214019, -176.519984, -186.253147, -196.452783, -207.203609, -218.482794, -230.315979, -242.728807, -255.430166, -268.604073, -282.519016, -297.295662, -313.054678, -329.916733, -348.002494, -367.774213, -388.907013, -411.454731, -435.471203, -461.010266, -487.34786, -515.510191, -545.745569, -578.302302, -613.428701, -651.338492, -692.356838, -735.965331, -782.347584, -833.1205, -889.257464, -951.73186, -1023.26493, -1102.68497, -1186.91349, -1271.49453, -1363.04314, -1467.55843, -1587.86861, -1721.42903, -1868.16125, -2025.72243, -2193.44705, -2378.97259, -2585.23989, -2813.96745, -3069.50649, -3355.22098, -3674.47486, -4030.6321, -4546.27556, -5075.74556, -5592.60132, -6070.40207, -6482.70704, -6760.47171, -6948.26154, -7037.8945, -6938.24518, -6673.96329, -6304.25833, -5852.05204, -5340.26615, -4791.82242, -4229.64258, -3723.43883, -3248.96725, -2806.12957, -2394.82752, -2014.96283, -1666.43723, -1349.15247, -1071.01933, -797.885891},
691  {459.284623, 454.253762, 449.282376, 444.368215, 439.509034, 434.702585, 429.946621, 425.238895, 420.57716, 415.959168, 411.382673, 406.845427, 402.345183, 397.879695, 393.446715, 389.043995, 384.669289, 380.32035, 375.99493, 371.690782, 367.40566, 363.137315, 358.883502, 354.641972, 350.410479, 346.186775, 341.968614, 337.753748, 333.53993, 329.324914, 325.106451, 320.882294, 316.650198, 312.407913, 308.0665, 303.668882, 299.259024, 294.837492, 290.404852, 285.961672, 281.508516, 277.045952, 272.574545, 268.094862, 263.607469, 259.112932, 254.611818, 250.104693, 245.592123, 241.074674, 236.552912, 232.055218, 227.553742, 223.048445, 218.539293, 214.026247, 209.509272, 204.988331, 200.463386, 195.934402, 191.401341, 186.864168, 182.322844, 177.777334, 173.227601, 168.673608, 164.115319, 159.573738, 155.069365, 150.558768, 146.040544, 141.513293, 136.975614, 132.426108, 127.863372, 123.286006, 118.69261, 114.081783, 109.452123, 104.802231, 100.130705, 95.4361452, 90.7171501, 85.9723192, 81.1339324, 76.2351437, 71.309904, 66.3589647, 61.3830773, 56.3829932, 51.3594639, 46.3132407, 41.2450752, 36.1557188, 31.045923, 25.9164391, 20.7680186, 15.6014131, 10.4173738, 5.2166523, 0, -4.79856953, -9.6042007, -14.4289622, -19.2849229, -24.1841512, -29.1387161, -34.1606862, -39.2621302, -44.4551168, -49.7517147, -55.1639927, -60.7040194, -66.3838636, -72.2155939, -78.2112791, -84.3829879, -90.8101349, -97.5144097, -104.355551, -111.360059, -118.554433, -125.965173, -133.61878, -141.541752, -149.760592, -158.301797, -167.191869, -176.457307, -186.124611, -196.185579, -206.714138, -217.747197, -229.321668, -241.280348, -253.757203, -266.937965, -280.91778, -295.791793, -311.655148, -328.60299, -346.76356, -366.188834, -386.967483, -409.188176, -432.939583, -458.590821, -485.880001, -514.82568, -545.446415, -577.760764, -611.490337, -647.313576, -684.096495, -721.905562, -763.258166, -809.571282, -862.261886, -925.862718, -997.966861, -1072.76838, -1144.14936, -1218.99033, -1304.23846, -1402.25636, -1507.63834, -1618.54448, -1730.2445, -1840.14912, -1956.2671, -2080.61233, -2218.47154, -2368.08232, -2530.32567, -2706.0826, -2896.23412, -3101.33424, -3322.67273, -3561.21234, -3817.91584, -4093.74598, -4455.02698, -4793.78584, -5082.97327, -5169.40169, -5075.95154, -4878.06091, -4595.98235, -4249.96844, -3860.27176, -3447.14486, -3064.62474, -2701.69608, -2359.20272, -2037.98848, -1738.89719, -1462.77268, -1210.45878, -996.8879, -799.369153},
692  {434.112712, 429.650054, 425.21708, 420.812653, 416.435632, 412.084878, 407.759251, 403.457613, 399.178823, 394.921743, 390.685232, 386.468151, 382.269361, 378.087722, 373.922095, 369.77134, 365.634318, 361.509889, 357.396914, 353.294253, 349.200767, 345.115316, 341.036761, 336.963963, 332.895781, 328.831077, 324.768711, 320.707544, 316.646435, 312.584246, 308.519837, 304.452068, 300.379801, 296.301895, 292.179441, 288.03098, 283.875504, 279.713101, 275.543856, 271.367856, 267.185187, 262.995934, 258.800186, 254.598026, 250.389543, 246.174821, 241.953948, 237.72701, 233.494092, 229.255281, 225.010663, 220.753673, 216.491193, 212.223453, 207.950684, 203.673116, 199.390979, 195.104504, 190.813922, 186.519462, 182.221356, 177.919833, 173.615124, 169.30746, 164.99707, 160.684186, 156.369037, 152.085015, 147.864712, 143.63997, 139.40887, 135.169492, 130.919917, 126.658226, 122.3825, 118.09082, 113.781266, 109.45192, 105.100861, 100.726171, 96.3259314, 91.8982218, 87.4411235, 82.9527173, 78.3265578, 73.6151875, 68.8724052, 64.0996836, 59.2984958, 54.4703146, 49.6166129, 44.7388635, 39.8385393, 34.9171132, 29.9760582, 25.016847, 20.0409526, 15.0498478, 10.0450055, 5.02789861, 0, -4.78250344, -9.52437487, -14.2407085, -18.9465985, -23.6571392, -28.3874246, -33.1525491, -37.9676069, -42.8476921, -47.807899, -52.8633217, -58.0290545, -63.3201916, -68.7518272, -74.3390555, -80.0969707, -86.0394014, -92.1812609, -98.5405063, -105.131961, -111.970447, -119.070788, -126.447807, -134.116326, -142.09117, -150.38716, -159.019121, -168.001874, -177.350243, -186.97904, -197.039769, -207.577258, -218.636331, -230.268822, -242.516054, -255.41748, -269.015826, -283.353813, -298.474168, -314.419613, -330.542814, -347.786571, -366.32862, -386.346696, -408.018533, -433.562858, -460.606168, -488.815951, -517.859694, -547.404885, -575.706973, -605.57131, -637.925839, -673.414864, -712.103587, -754.317214, -800.380952, -851.282321, -906.533689, -964.924903, -1024.71467, -1088.38563, -1159.99052, -1240.4031, -1325.11042, -1412.07213, -1498.64422, -1582.62985, -1664.04544, -1741.65545, -1812.44563, -1877.23281, -1935.39716, -1986.31885, -2029.37806, -1966.7829, -1919.37863, -1910.83842, -1964.83547, -2105.04296, -2505.7788, -2939.64165, -3365.74267, -3591.49968, -3636.06913, -3581.81302, -3444.72753, -3240.80883, -2986.05309, -2696.45649, -2408.38342, -2116.37128, -1827.32267, -1548.1402, -1285.72647, -1046.98409, -838.81567, -648.023968, -481.654895},
693  {408.975106, 404.985559, 401.008521, 397.04356, 393.090241, 389.148133, 385.2168, 381.295811, 377.384731, 373.483128, 369.590568, 365.706617, 361.830843, 357.962812, 354.10209, 350.248245, 346.400843, 342.559451, 338.723635, 334.892962, 331.066998, 327.245311, 323.427467, 319.613033, 315.801575, 311.992661, 308.185855, 304.380727, 300.576841, 296.773765, 292.971065, 289.168309, 285.365062, 281.560892, 277.767947, 273.979239, 270.187627, 266.392269, 262.592324, 258.786949, 254.975304, 251.156546, 247.329833, 243.494325, 239.64918, 235.793555, 231.926609, 228.0475, 224.155388, 220.249429, 216.328783, 212.332441, 208.321031, 204.295018, 200.254864, 196.201031, 192.133981, 188.054179, 183.962085, 179.858163, 175.742876, 171.616685, 167.480055, 163.333446, 159.177323, 155.012147, 150.838381, 146.680221, 142.561291, 138.433108, 134.294597, 130.14468, 125.982282, 121.806328, 117.615741, 113.409446, 109.186367, 104.945427, 100.685552, 96.4056654, 92.1046909, 87.781553, 83.4351759, 79.0644836, 74.6035898, 70.085187, 65.542747, 60.977297, 56.3898645, 51.7814768, 47.1531613, 42.5059454, 37.8408564, 33.1589218, 28.4611688, 23.748625, 19.0223176, 14.283274, 9.53252162, 4.77108783, 0, -4.44877624, -8.87861571, -13.3025604, -17.7336522, -22.1849332, -26.6694454, -31.2002306, -35.790331, -40.4527883, -45.2006448, -50.0469422, -55.0047226, -60.087028, -65.3069003, -70.6773815, -76.2115136, -81.9965942, -88.056273, -94.2356332, -100.563629, -107.069213, -113.78134, -120.728965, -127.94104, -135.446519, -143.274357, -151.453507, -160.012924, -168.981561, -178.44686, -188.357841, -198.725912, -209.562479, -220.6587, -232.136107, -244.174965, -256.852758, -270.246967, -284.435074, -299.494563, -315.568962, -332.649605, -350.801054, -370.087868, -390.574608, -412.663888, -435.997701, -460.556093, -486.319112, -513.266803, -541.083953, -570.406743, -601.687646, -635.134169, -670.453687, -707.578124, -746.439403, -786.107851, -827.572808, -872.763539, -924.275341, -979.286962, -1037.08167, -1096.52702, -1155.78615, -1213.34554, -1268.72741, -1320.68676, -1364.18089, -1396.31527, -1419.37522, -1424.48952, -1406.97064, -1362.13106, -1285.28326, -966.597996, -657.814899, -405.53188, -256.34685, -256.857717, -691.291436, -1210.19751, -1758.33283, -2094.71786, -2237.63017, -2282.73748, -2244.44785, -2137.16933, -1975.30997, -1773.27782, -1566.24636, -1344.07188, -1114.56605, -885.540522, -664.806968, -460.177048, -279.462428, -103.363394, 51.3919587},
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707  {194.679794, 194.802502, 194.850728, 194.825666, 194.728506, 194.560441, 194.32266, 194.016357, 193.642722, 193.202947, 192.698223, 192.129742, 191.498696, 190.806275, 190.053671, 189.242076, 188.372682, 187.446678, 186.465259, 185.429613, 184.340934, 183.200413, 182.00924, 180.768608, 179.479708, 178.143731, 176.76187, 175.335314, 173.865257, 172.352889, 170.799402, 169.205987, 167.573836, 165.90414, 164.210435, 162.487479, 160.729886, 158.938445, 157.113949, 155.257187, 153.368951, 151.450032, 149.50122, 147.523306, 145.517082, 143.483339, 141.422866, 139.336456, 137.224898, 135.088985, 132.929506, 130.761393, 128.570991, 126.358784, 124.125255, 121.870889, 119.596171, 117.301584, 114.987615, 112.654745, 110.303461, 107.934246, 105.547585, 103.143962, 100.723862, 98.2877681, 95.8361657, 93.3919045, 90.9772973, 88.5467013, 86.099151, 83.6336808, 81.1493253, 78.645119, 76.1200964, 73.573292, 71.0037402, 68.4104756, 65.7925327, 63.1489459, 60.4787499, 57.780979, 55.0546677, 52.2988507, 49.3606364, 46.3182179, 43.2516142, 40.1647901, 37.0617104, 33.9463399, 30.8226434, 27.6945857, 24.5661314, 21.4412456, 18.3238928, 15.218038, 12.1276458, 9.05668116, 6.00910878, 2.98889346, 0, -1.34403908, -2.85381904, -4.52547418, -6.35513879, -8.33894718, -10.4730336, -12.7535325, -15.176578, -17.7383045, -20.4348463, -23.2623376, -26.2169128, -29.2947062, -32.4918521, -35.8044847, -39.2287384, -42.9107103, -46.867958, -50.7574141, -54.6073479, -58.4460284, -62.301725, -66.2027067, -70.1772428, -74.2536026, -78.460055, -82.8248695, -87.3763151, -92.142661, -97.4162184, -102.864399, -108.43626, -114.080857, -119.483688, -124.725588, -129.957678, -135.208081, -140.504923, -145.876327, -151.350419, -157.611072, -163.831085, -169.910286, -175.748499, -181.24555, -187.785954, -193.413676, -197.65737, -200.045692, -200.107295, -196.652816, -190.806502, -183.740554, -175.591732, -164.382781, -149.085598, -128.672077, -104.36574, -72.3751234, -26.4524395, 38.9185956, 122.868424, 223.489674, 342.223708, 486.18613, 659.887977, 864.872344, 1104.8808, 1394.53736, 1742.3103, 2150.77783, 2635.20449, 3206.09742, 3873.96379, 4649.31074, 5902.70641, 7194.58174, 8445.42864, 9575.73905, 10506.0049, 10850.0597, 11039.4927, 11126.2206, 11317.7368, 11604.3759, 11911.6487, 12233.1311, 12562.3988, 12893.0274, 13218.5927, 13553.0437, 13868.4903, 14149.414, 14380.2963, 14545.6186, 14629.8624, 14617.5093, 14523.5929, 14305.9194},
708  {186.065989, 186.304952, 186.466927, 186.553178, 186.56497, 186.503565, 186.370228, 186.166222, 185.892813, 185.551264, 185.142838, 184.6688, 184.130414, 183.528943, 182.865652, 182.141805, 181.358666, 180.517498, 179.619565, 178.666133, 177.658463, 176.597821, 175.485471, 174.322676, 173.110701, 171.850809, 170.544264, 169.192331, 167.796272, 166.357354, 164.876838, 163.35599, 161.796073, 160.198351, 158.577074, 156.92674, 155.241691, 153.52277, 151.770818, 149.986678, 148.171194, 146.325206, 144.449559, 142.545095, 140.612656, 138.653084, 136.667223, 134.655914, 132.620001, 130.560325, 128.47773, 126.390101, 124.280868, 122.150503, 119.999482, 117.828275, 115.637357, 113.427201, 111.198279, 108.951066, 106.686033, 104.403654, 102.104402, 99.7887507, 97.4571725, 95.1101408, 92.7481285, 90.394614, 88.0725229, 85.7348823, 83.3806738, 81.0088793, 78.6184805, 76.2084593, 73.7777973, 71.3254764, 68.8504783, 66.3517849, 63.8283779, 61.279239, 58.7033501, 56.0996929, 53.4672492, 50.8050009, 47.9549584, 44.997891, 42.0164542, 39.0147238, 35.9967757, 32.9666856, 29.9285292, 26.8863825, 23.8443212, 20.8064211, 17.776758, 14.7594076, 11.7584458, 8.77794832, 5.82199101, 2.89464964, 0, -1.31264276, -2.77856369, -4.39432988, -6.15650848, -8.06166659, -10.1063713, -12.2871899, -14.6006893, -17.0434367, -19.6119992, -22.3029439, -25.1128381, -28.0382487, -31.0757429, -34.2218879, -37.4732507, -40.9527289, -44.6749368, -48.3506941, -52.0036389, -55.6574089, -59.3356422, -63.0619766, -66.8600502, -70.7535007, -74.7659662, -78.9210845, -83.2424936, -87.7538314, -92.7043021, -97.8092697, -103.024702, -108.306568, -113.502558, -118.622779, -123.706211, -128.741304, -133.716511, -138.620283, -143.441069, -148.327123, -153.05846, -157.592264, -161.885722, -165.896018, -171.308418, -175.920008, -179.255954, -180.841423, -180.201579, -176.453366, -170.029113, -162.11136, -152.651335, -139.086345, -119.982397, -93.905498, -59.5035933, -15.2421276, 40.5028438, 108.407041, 191.810265, 290.562455, 407.39595, 549.927152, 723.530598, 932.729352, 1182.6772, 1481.64999, 1836.15754, 2244.6906, 2723.01179, 3280.4068, 3926.16131, 4669.56098, 5846.42472, 7057.87167, 8231.55421, 9295.12472, 10176.2356, 10520.8604, 10726.1162, 10840.3746, 11058.0594, 11369.73, 11705.0913, 12057.7457, 12421.2955, 12789.3432, 13155.491, 13615.6403, 14001.8311, 14315.7799, 14559.203, 14733.8169, 14841.3379, 14883.4825, 14788.1318, 14591.022},
709  {178.669995, 178.886664, 179.033134, 179.110457, 179.119684, 179.06187, 178.938065, 178.749322, 178.496693, 178.18123, 177.803987, 177.366014, 176.868364, 176.312089, 175.698242, 175.027875, 174.30204, 173.52179, 172.688175, 171.80225, 170.865066, 169.877674, 168.841129, 167.756481, 166.624783, 165.447087, 164.224445, 162.95791, 161.648534, 160.29737, 158.905468, 157.473882, 156.003664, 154.495866, 152.957742, 151.387113, 149.781725, 148.142429, 146.470077, 144.765519, 143.029606, 141.26319, 139.467121, 137.64225, 135.789428, 133.909507, 132.003337, 130.071769, 128.115655, 126.135844, 124.133189, 122.124183, 120.093696, 118.042239, 115.970323, 113.878461, 111.767164, 109.636945, 107.488315, 105.321786, 103.13787, 100.937079, 98.7199242, 96.4869181, 94.2385724, 91.9753989, 89.6979096, 87.431273, 85.2000659, 82.9539473, 80.6918307, 78.4126294, 76.115257, 73.798627, 71.4616527, 69.1032477, 66.7223254, 64.3177993, 61.8885828, 59.4335894, 56.9517325, 54.4419257, 51.9030823, 49.3341158, 46.5721116, 43.7003009, 40.8038602, 37.8869547, 34.9537494, 32.0084095, 29.0551, 26.097986, 23.1412326, 20.189005, 17.2454682, 14.3147873, 11.4011274, 8.50865364, 5.64153109, 2.80392484, 0, -1.34928305, -2.82793657, -4.43373566, -6.16445541, -8.01787094, -9.99175733, -12.0838897, -14.2920431, -16.6139928, -19.0475137, -21.5903809, -24.2403697, -26.995255, -29.8528121, -32.8108159, -35.8670416, -39.0955091, -42.5048857, -45.9204879, -49.3564289, -52.8268221, -56.3457807, -59.927418, -63.5858473, -67.3351819, -71.189535, -75.16302, -79.2697501, -83.5238386, -88.0780262, -92.7569688, -97.5331913, -102.379219, -107.35735, -112.395223, -117.396537, -122.306884, -127.071858, -131.637052, -135.948059, -139.693876, -143.154786, -146.326586, -149.205074, -151.786045, -155.808815, -159.089782, -161.188865, -161.665981, -160.081046, -155.98728, -148.959486, -140.073409, -129.061363, -112.912817, -89.8487221, -58.0900293, -13.8399127, 42.2043153, 107.144132, 177.032573, 259.000627, 353.839309, 465.410729, 602.780794, 772.626783, 983.418274, 1242.29721, 1549.83379, 1910.31556, 2315.68062, 2784.46587, 3325.23367, 3946.54639, 4656.96638, 5765.67766, 6905.46551, 8009.73685, 9011.89863, 9845.35778, 10181.3955, 10390.2949, 10517.8027, 10747.7119, 11071.1256, 11421.6276, 11793.197, 12179.8129, 12575.4545, 12974.1007, 13594.3279, 14061.4246, 14401.1648, 14639.3225, 14801.6714, 14913.9857, 15002.0391, 14905.7752, 14730.5381},
710  {170.921216, 171.128672, 171.272048, 171.352225, 171.370085, 171.326511, 171.222383, 171.058585, 170.835996, 170.555501, 170.217979, 169.824314, 169.375387, 168.872079, 168.315273, 167.705851, 167.044694, 166.332684, 165.570703, 164.759632, 163.900355, 162.993752, 162.040705, 161.042096, 159.998807, 158.911721, 157.781717, 156.60968, 155.396489, 154.143028, 152.850178, 151.518821, 150.149838, 148.744112, 147.305916, 145.834365, 144.328533, 142.789191, 141.217111, 139.613065, 137.977824, 136.312161, 134.616847, 132.892654, 131.140353, 129.360717, 127.554517, 125.722524, 123.865512, 121.984251, 120.079513, 118.164485, 116.227256, 114.268326, 112.2882, 110.287378, 108.266365, 106.225662, 104.165772, 102.087198, 99.9904422, 97.8760075, 95.7443962, 93.5961111, 91.4316548, 89.2515298, 87.0562388, 84.8695455, 82.7146551, 80.5440959, 78.3568625, 76.1519498, 73.9283522, 71.6850646, 69.4210816, 67.1353978, 64.827008, 62.4949068, 60.1380889, 57.755549, 55.3462818, 52.9092819, 50.443544, 47.9480628, 45.2606981, 42.4644013, 39.6440605, 36.8038994, 33.948142, 31.0810119, 28.206733, 25.3295292, 22.4536242, 19.5832418, 16.722606, 13.8759404, 11.0474688, 8.24141524, 5.46200336, 2.713457, 0, -1.42620271, -2.94702471, -4.56256943, -6.27294029, -8.07824071, -9.9785741, -11.9740439, -14.0647535, -16.2508063, -18.5323058, -20.9093553, -23.3820584, -25.9505183, -28.6148386, -31.3751226, -34.2314738, -37.1531204, -40.1357551, -43.2493181, -46.4872965, -49.8431777, -53.3104492, -56.882598, -60.5531116, -64.3154773, -68.1631824, -72.0897142, -76.08856, -80.1532071, -84.2538386, -88.4157909, -92.6395426, -96.9255724, -101.530379, -106.326431, -111.117925, -115.828534, -120.381929, -124.701784, -128.71177, -132.11023, -135.114746, -137.693078, -139.812984, -141.442224, -144.440568, -146.410762, -146.847561, -145.245722, -141.100001, -133.442628, -122.796195, -110.88638, -97.7299068, -79.8543924, -55.3539911, -22.3228577, 22.8391052, 79.9584334, 147.013388, 221.861847, 309.275006, 407.824091, 520.444267, 657.465145, 825.822163, 1034.82548, 1292.02619, 1596.26812, 1951.32041, 2351.8642, 2812.15482, 3339.10724, 3939.63648, 4620.65753, 5655.39825, 6717.88256, 7748.44724, 8687.42908, 9475.16486, 9816.17982, 10043.83, 10199.5142, 10447.7345, 10781.1614, 11141.1725, 11523.0029, 11921.8878, 12333.0624, 12751.7619, 13453.9979, 13982.4998, 14363.8439, 14624.6062, 14791.3631, 14890.6908, 14949.1654, 14872.6005, 14863.9416},
711  {163.185019, 163.396772, 163.549537, 163.644065, 163.681109, 163.661417, 163.585743, 163.454837, 163.26945, 163.030333, 162.738238, 162.393916, 161.998117, 161.551594, 161.055096, 160.509376, 159.915184, 159.273272, 158.584391, 157.849291, 157.068724, 156.243442, 155.374194, 154.461734, 153.506811, 152.510176, 151.472582, 150.394778, 149.277517, 148.121549, 146.927626, 145.696498, 144.428917, 143.125634, 141.790367, 140.422322, 139.020668, 137.58606, 136.119152, 134.6206, 133.091058, 131.531181, 129.941624, 128.323042, 126.67609, 125.001422, 123.299693, 121.571559, 119.817674, 118.038692, 116.23527, 114.414813, 112.571078, 110.704574, 108.815809, 106.905291, 104.973529, 103.021032, 101.048308, 99.0558649, 97.0442119, 95.0138574, 92.9653096, 90.8990773, 88.8156687, 86.7155925, 84.599357, 82.4896723, 80.4087155, 78.3112059, 76.1962128, 74.0628053, 71.9100528, 69.7370245, 67.5427895, 65.3264173, 63.0869769, 60.8235377, 58.5351688, 56.2209396, 53.8799192, 51.5111769, 49.113782, 46.6868036, 44.0678591, 41.3401395, 38.5887766, 35.8180791, 33.0323556, 30.2359147, 27.4330652, 24.6281156, 21.8253748, 19.0291512, 16.2437537, 13.4734909, 10.7226714, 7.99560385, 5.29659701, 2.6299595, 0, -1.46554655, -2.99829602, -4.60026387, -6.27346552, -8.01991642, -9.84163201, -11.7406277, -13.718919, -15.7785213, -17.9214501, -20.1497208, -22.4653488, -24.8703495, -27.3667385, -29.9565312, -32.6417429, -35.2871385, -37.8751262, -40.7181694, -43.7888726, -47.0598404, -50.5036774, -54.0929882, -57.8003774, -61.5984495, -65.4598092, -69.357061, -73.2628095, -77.1496593, -80.8116888, -84.4654883, -88.1372203, -91.8530473, -96.0000528, -100.423939, -104.874161, -109.268607, -113.525161, -117.56171, -121.296141, -124.685164, -127.596025, -129.939012, -131.624416, -132.562527, -134.626711, -135.273413, -133.922152, -129.992449, -122.903825, -110.965115, -96.0640288, -80.7315622, -65.3911389, -46.163224, -21.1002231, 11.745458, 54.9982182, 109.775028, 176.454526, 256.280049, 350.387841, 455.163557, 572.212486, 711.984289, 880.868915, 1086.98146, 1337.15914, 1631.91362, 1975.33463, 2368.73859, 2819.41526, 3332.4144, 3912.78577, 4565.57912, 5526.90631, 6512.98948, 7471.11284, 8348.56064, 9092.6171, 9442.24641, 9691.93286, 9878.24072, 10143.8616, 10483.3511, 10847.0448, 11231.7093, 11634.1109, 12051.0162, 12479.1916, 13184.342, 13744.4911, 14171.7406, 14478.1921, 14675.9469, 14777.1067, 14793.7731, 14759.0911, 14892.5826},
712  {155.621618, 155.872754, 156.067182, 156.20561, 156.288742, 156.317285, 156.291945, 156.213428, 156.082441, 155.899688, 155.665876, 155.381711, 155.0479, 154.665147, 154.23416, 153.755644, 153.230305, 152.65885, 152.041983, 151.380413, 150.674843, 149.925981, 149.134532, 148.301203, 147.426699, 146.511727, 145.556992, 144.563201, 143.53106, 142.461274, 141.35455, 140.211593, 139.033111, 137.819808, 136.577557, 135.304373, 133.998208, 132.659599, 131.289085, 129.887205, 128.454497, 126.991499, 125.498749, 123.976787, 122.42615, 120.847376, 119.241004, 117.607573, 115.947621, 114.261686, 112.550306, 110.811552, 109.048484, 107.261694, 105.451773, 103.619313, 101.764906, 99.8891444, 97.9926196, 96.0759235, 94.139648, 92.1843849, 90.2107261, 88.2192635, 86.2105889, 84.1852941, 82.1439711, 80.1119619, 78.1140143, 76.0996748, 74.0679308, 72.0177695, 69.9481785, 67.8581452, 65.7466569, 63.612701, 61.455265, 59.2733362, 57.0659021, 54.83195, 52.5704674, 50.2804416, 47.9608601, 45.6107103, 43.0596143, 40.3948045, 37.705549, 34.9963313, 32.2716352, 29.5359442, 26.7937419, 24.0495121, 21.3077383, 18.5729041, 15.8494932, 13.1419892, 10.4548758, 7.79263649, 5.15975502, 2.56071498, 0, -1.37537004, -2.81832477, -4.3307171, -5.91439996, -7.57122626, -9.30304893, -11.1117209, -12.9990951, -14.9670244, -17.0173617, -19.15196, -21.3726722, -23.6813513, -26.07985, -28.5700214, -31.1537184, -33.6474542, -36.0266046, -38.7122433, -41.6665075, -44.8515346, -48.2294618, -51.7624264, -55.4125656, -59.1420167, -62.9129171, -66.6874038, -70.4276143, -74.0956858, -77.4099297, -80.6657119, -83.8983175, -87.1430314, -90.7946026, -94.7085841, -98.644672, -102.530312, -106.29295, -109.860031, -113.159003, -116.489382, -119.293302, -121.425414, -122.740365, -123.092805, -124.126249, -123.459264, -120.49928, -114.653731, -105.330048, -90.5331967, -72.7872016, -55.1252852, -38.1888363, -17.7359171, 8.28289641, 41.917028, 85.7286675, 141.137935, 209.00557, 291.212379, 388.411054, 497.996306, 621.343294, 766.571822, 938.705793, 1143.03091, 1384.63894, 1667.66174, 1996.77413, 2380.07503, 2818.28841, 3314.90386, 3873.41094, 4497.29925, 5390.39785, 6305.77194, 7196.82624, 8016.96545, 8719.59427, 9074.45774, 9341.06001, 9551.51705, 9828.67458, 10168.7347, 10530.0956, 10910.8496, 11309.0889, 11722.9061, 12150.3933, 12758.1224, 13303.8715, 13773.328, 14152.1796, 14426.1137, 14580.8177, 14601.9793, 14638.9387, 14711.9123},
713  {148.24968, 148.611409, 148.913131, 149.155669, 149.339849, 149.466496, 149.536436, 149.550492, 149.509489, 149.414254, 149.265611, 149.064384, 148.811399, 148.507482, 148.153455, 147.750146, 147.298378, 146.798978, 146.252768, 145.660576, 145.023225, 144.341541, 143.616349, 142.848473, 142.038739, 141.187972, 140.296996, 139.366637, 138.397719, 137.391068, 136.347508, 135.267865, 134.152963, 133.003628, 131.832171, 130.633433, 129.402114, 128.138668, 126.843547, 125.517202, 124.160086, 122.772652, 121.355351, 119.908636, 118.432958, 116.928771, 115.396526, 113.836676, 112.249673, 110.635968, 108.996015, 107.313556, 105.606116, 103.874507, 102.119545, 100.342045, 98.5428196, 96.7226847, 94.8824544, 93.0229429, 91.1449649, 89.2493346, 87.3368667, 85.4083754, 83.4646752, 81.5065807, 79.5349061, 77.5845622, 75.6896409, 73.7806358, 71.8561511, 69.9147909, 67.9551593, 65.9758603, 63.9754982, 61.952677, 59.9060008, 57.8340739, 55.7355002, 53.608884, 51.4528292, 49.2659402, 47.0468209, 44.7940755, 42.3148424, 39.7074857, 37.0726711, 34.4152159, 31.7399378, 29.0516543, 26.355183, 23.6553414, 20.9569471, 18.2648176, 15.5837704, 12.9186232, 10.2741934, 7.65529868, 5.06675649, 2.51338441, 0, -1.05418016, -2.22612794, -3.51371992, -4.91483263, -6.42734264, -8.0491265, -9.77806077, -11.612022, -13.5488868, -15.5865316, -17.7228331, -19.9556678, -22.2829122, -24.7024429, -27.2121365, -29.8098695, -32.3756736, -34.8905905, -37.6190504, -40.5336775, -43.6070959, -46.8119296, -50.1208027, -53.5063393, -56.9411636, -60.3978996, -63.8491714, -67.2676031, -70.6258187, -73.7613784, -76.8314938, -79.8493081, -82.8279647, -85.9766664, -89.2105268, -92.3923768, -95.476542, -98.4173477, -101.169119, -103.686183, -106.568731, -108.928654, -110.59391, -111.392459, -111.152261, -110.932386, -109.021906, -104.941005, -98.2098635, -88.3486654, -74.0077076, -56.6402512, -39.1188619, -21.8516967, -0.215412429, 28.1542932, 65.6217226, 117.17287, 181.954507, 256.253375, 335.874539, 428.249151, 538.107199, 669.089895, 822.993573, 1002.4614, 1208.25616, 1442.53354, 1714.34385, 2028.83739, 2398.44356, 2819.91374, 3295.87855, 3828.96862, 4421.81458, 5255.28808, 6109.21848, 6941.67616, 7710.73148, 8374.45483, 8726.16771, 8998.52195, 9220.1946, 9499.48851, 9833.56217, 10186.3967, 10556.8093, 10943.6176, 11345.6387, 11761.6901, 12136.5486, 12601.4344, 13103.8228, 13591.1893, 14011.0092, 14310.7578, 14437.9105, 14587.95, 14213.5886},
714  {141.68755, 142.08308, 142.421239, 142.702748, 142.928326, 143.098696, 143.214577, 143.276691, 143.285757, 143.242497, 143.147632, 143.001882, 142.805967, 142.560609, 142.266528, 141.924445, 141.535081, 141.099156, 140.61739, 140.090505, 139.519222, 138.904261, 138.246342, 137.546187, 136.804515, 136.022049, 135.199508, 134.337613, 133.437085, 132.498644, 131.523012, 130.510909, 129.463055, 128.380171, 127.268074, 126.124828, 124.948439, 123.739463, 122.498454, 121.225967, 119.922559, 118.588785, 117.2252, 115.832358, 114.410817, 112.96113, 111.483854, 109.979544, 108.448755, 106.892042, 105.309961, 103.690292, 102.046644, 100.379847, 98.6907337, 96.9801369, 95.2488886, 93.497821, 91.7277665, 89.9395573, 88.1340256, 86.3120038, 84.4743242, 82.6218189, 80.7553203, 78.8756606, 76.9836721, 75.117715, 73.3152481, 71.4997057, 69.669487, 67.8229916, 65.9586191, 64.0747688, 62.1698404, 60.2422332, 58.2903469, 56.3125808, 54.3073345, 52.2730075, 50.2079992, 48.1107092, 45.979537, 43.8128821, 41.4050737, 38.8608388, 36.287357, 33.6896505, 31.0727411, 28.4416508, 25.8014015, 23.1570153, 20.513514, 17.8759198, 15.2492544, 12.63854, 10.0487984, 7.48505164, 4.95232168, 2.45563047, 0, -0.902925863, -1.94062149, -3.10938633, -4.40551984, -5.82532148, -7.36509072, -9.021127, -10.7897298, -12.6671985, -14.6498327, -16.7339317, -18.9157951, -21.1917223, -23.5580127, -26.0109658, -28.5468811, -31.0740127, -33.5760823, -36.2485393, -39.0688162, -42.0143457, -45.0625605, -48.190893, -51.376776, -54.5976421, -57.8309239, -61.054054, -64.244465, -67.3795896, -70.3681989, -73.2815628, -76.1177125, -78.8746789, -81.6576509, -84.4110808, -87.0508452, -89.5428278, -91.8529123, -93.9469825, -95.7909222, -98.1544905, -99.9550378, -101.001168, -101.101484, -100.064591, -98.1105283, -94.5336041, -89.0395626, -81.3341482, -71.1231055, -58.2586746, -42.121054, -24.0050533, -3.70616743, 22.0412093, 55.1283111, 97.446372, 153.901281, 222.684468, 298.698649, 374.556406, 461.695838, 569.01417, 701.646014, 858.350444, 1040.81301, 1248.82011, 1483.56492, 1753.20419, 2061.95567, 2418.66634, 2822.21255, 3275.20964, 3780.27293, 4340.01777, 5121.35234, 5921.52591, 6702.08058, 7424.55848, 8050.50172, 8388.58038, 8655.12332, 8877.18923, 9160.20703, 9500.21387, 9860.59269, 10239.0134, 10633.1458, 11040.6599, 11459.2255, 11683.379, 12086.4459, 12595.1407, 13136.178, 13636.2724, 14022.1384, 14220.4905, 14419.2486, 14083.4789},
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780  {168.065254, 167.12278, 166.138483, 165.11293, 164.04669, 162.940329, 161.794416, 160.609519, 159.386205, 158.125042, 156.826598, 155.49144, 154.120137, 152.713256, 151.271364, 149.79503, 148.284821, 146.741305, 145.16505, 143.556624, 141.916594, 140.245528, 138.543993, 136.812559, 135.051791, 133.262259, 131.444529, 129.59917, 127.726749, 125.827834, 123.902993, 121.952794, 119.977803, 117.97859, 115.920095, 113.821449, 111.70221, 109.564102, 107.40885, 105.238176, 103.053805, 100.85746, 98.6508664, 96.4357472, 94.2138264, 91.9868279, 89.7564756, 87.5244935, 85.2926053, 83.0625351, 80.8360068, 78.6659139, 76.5017014, 74.3439838, 72.193376, 70.0504924, 67.9159477, 65.7903566, 63.6743337, 61.5684936, 59.473451, 57.3898205, 55.3182168, 53.2592545, 51.2135483, 49.1817127, 47.1643624, 45.1340625, 43.0640514, 41.012794, 38.9827233, 36.9762722, 34.9958738, 33.043961, 31.1229669, 29.2353243, 27.3834663, 25.5698258, 23.7968359, 22.0669295, 20.3825396, 18.7460992, 17.1600412, 15.6267987, 14.2409923, 12.9570221, 11.7281801, 10.5539078, 9.43364632, 8.36683713, 7.35292149, 6.39134071, 5.48153612, 4.62294903, 3.81502076, 3.05719262, 2.34890593, 1.68960201, 1.07872217, 0.515707727, 0, -1.25416717, -2.37881959, -3.3710563, -4.22797632, -4.9466787, -5.52426246, -5.95782663, -6.24447025, -6.38129234, -6.36539194, -6.19386809, -5.8638198, -5.37234613, -4.71654608, -3.89351871, -2.90036304, -1.42146429, 0.590751892, 2.43185764, 4.17176403, 5.88038213, 7.627623, 9.48339771, 11.5176173, 13.8001929, 16.4010356, 19.3900564, 22.8371663, 26.8122765, 31.5590665, 36.9099638, 42.8827489, 49.4952024, 56.4332668, 63.8806418, 72.1095169, 81.2372241, 91.3810954, 102.658463, 115.186658, 129.122775, 144.532283, 161.524733, 180.209678, 200.69667, 222.173915, 245.902648, 272.222759, 301.474137, 333.996671, 370.802689, 410.737771, 452.97811, 497.335813, 544.921309, 596.262107, 651.885715, 713.515771, 780.211808, 849.728484, 919.381166, 992.479508, 1072.65933, 1161.11998, 1254.93231, 1353.0622, 1453.68057, 1555.5472, 1660.33683, 1768.07534, 1881.25477, 1997.05542, 2114.64951, 2233.20925, 2351.90684, 2481.48184, 2606.64728, 2723.68355, 2828.87102, 2918.49007, 2969.66903, 3010.60836, 3045.79645, 3093.49801, 3152.74831, 3216.84251, 3285.10291, 3356.85179, 3431.41145, 3508.10417, 3562.1873, 3636.83735, 3723.61979, 3814.10014, 3899.84389, 3972.41653, 4023.38356, 4104.51333, 4169.41828},
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787  {202.644418, 202.43914, 202.104309, 201.642974, 201.058186, 200.352995, 199.530452, 198.593605, 197.545507, 196.389205, 195.127752, 193.764197, 192.30159, 190.742981, 189.091421, 187.34996, 185.521647, 183.609534, 181.61667, 179.546105, 177.40089, 175.184075, 172.89871, 170.547845, 168.13453, 165.661816, 163.132752, 160.550389, 157.917778, 155.237967, 152.514008, 149.74895, 146.945844, 144.10774, 141.296455, 138.48442, 135.643358, 132.774413, 129.878729, 126.957447, 124.011712, 121.042666, 118.051453, 115.039215, 112.007096, 108.956239, 105.887786, 102.802882, 99.7026678, 96.5882881, 93.4608855, 90.295565, 87.1200723, 83.9361149, 80.7454003, 77.549636, 74.3505297, 71.1497888, 67.9491209, 64.7502335, 61.5548342, 58.3646304, 55.1813298, 52.0066399, 48.8422681, 45.6899222, 42.5513095, 39.2822013, 35.7418729, 32.2330144, 28.7667936, 25.3543787, 22.0069376, 18.7356383, 15.5516488, 12.4661371, 9.49027115, 6.63521898, 3.91214858, 1.33222792, -1.09337499, -3.35349217, -5.43695561, -7.33259734, -8.05386084, -8.09778835, -7.97314556, -7.7004177, -7.30009003, -6.79264778, -6.19857619, -5.5383605, -4.83248597, -4.10143782, -3.3657013, -2.64576166, -1.96210413, -1.33521396, -0.785576384, -0.333676651, 0, -5.49097175, -10.4293973, -14.8328726, -18.7189938, -22.1053569, -25.0095581, -27.4491933, -29.4418586, -31.0051502, -32.1566639, -32.913996, -33.2947425, -33.3164994, -32.9968628, -32.3534288, -31.4037933, -29.996337, -28.1244822, -26.1885745, -24.1699495, -22.0499427, -19.8098898, -17.4311263, -14.8949877, -12.1828098, -9.27592804, -6.155678, -2.8033953, 0.799584505, 4.76257641, 8.9803557, 13.4443916, 18.1461534, 22.88521, 27.7489809, 32.8760588, 38.3154829, 44.1162927, 50.3275274, 56.9982263, 64.1202615, 71.8172382, 80.1493807, 89.1769132, 98.9600599, 110.693127, 123.018735, 135.71359, 148.554395, 161.317853, 172.569519, 184.777539, 199.806525, 218.382888, 238.909212, 260.831434, 283.595489, 305.147597, 326.774255, 351.39801, 381.687067, 415.324382, 450.873075, 487.666503, 526.343153, 566.942433, 609.018087, 652.483614, 699.033286, 749.354071, 806.135912, 867.754647, 934.2039, 1005.4773, 1081.56847, 1179.16534, 1277.39366, 1372.07348, 1459.02485, 1534.06783, 1576.36727, 1609.50187, 1636.42963, 1667.55378, 1702.88524, 1739.33272, 1777.06224, 1816.23981, 1857.03145, 1899.60317, 2019.13008, 2086.42187, 2118.48724, 2132.33492, 2144.9736, 2173.41199, 2234.65881, 2303.53122, 2315.11357}
788  };
789 
790  const double a4tab[98][200] = {{-1766.7572, -1746.59454, -1726.56578, -1706.66718, -1686.89499, -1667.24545, -1647.71482, -1628.29933, -1608.99525, -1589.79882, -1570.70629, -1551.71391, -1532.81792, -1514.01458, -1495.30014, -1476.67084, -1458.12293, -1439.65266, -1421.25629, -1402.93006, -1384.67021, -1366.473, -1348.33468, -1330.2515, -1312.2197, -1294.23553, -1276.29525, -1258.3951, -1240.53133, -1222.70019, -1204.89792, -1187.12079, -1169.36503, -1151.62689, -1133.74537, -1115.79865, -1097.8668, -1079.95118, -1062.05315, -1044.17405, -1026.31524, -1008.47807, -990.663897, -972.874065, -955.10993, -937.372845, -919.664161, -901.985233, -884.337411, -866.722049, -849.140499, -831.642108, -814.179193, -796.752066, -779.36104, -762.006426, -744.688536, -727.407682, -710.164177, -692.958333, -675.79046, -658.660872, -641.56988, -624.517796, -607.504933, -590.531602, -573.598115, -556.784068, -540.167153, -523.584166, -507.030278, -490.500662, -473.990491, -457.494937, -441.009172, -424.528369, -408.0477, -391.562337, -375.067453, -358.55822, -342.029811, -325.477397, -308.896152, -292.281247, -275.414886, -258.403205, -241.354901, -224.272057, -207.156756, -190.011083, -172.83712, -155.636953, -138.412663, -121.166336, -103.900054, -86.6159006, -69.3159605, -52.0023167, -34.6770529, -17.3422528, 0, 15.5874605, 31.2260846, 46.9499571, 62.7931629, 78.7897866, 94.973913, 111.379627, 128.041013, 144.992156, 162.267141, 179.900052, 197.924975, 216.375994, 235.287193, 254.692659, 274.626474, 295.552045, 317.564787, 339.727705, 362.166879, 385.008392, 408.378325, 432.402762, 457.207783, 482.91947, 509.663906, 537.567173, 566.755352, 597.354525, 629.677491, 663.595153, 699.177577, 736.494832, 774.577317, 814.014934, 855.674826, 899.93896, 947.189304, 997.807825, 1052.17649, 1111.90581, 1175.77531, 1243.92657, 1316.50121, 1393.64081, 1472.96419, 1557.76644, 1648.81985, 1746.89671, 1852.76932, 1967.16894, 2090.95905, 2222.38732, 2361.96984, 2514.8541, 2684.10817, 2872.80013, 3089.68725, 3330.85544, 3586.18425, 3841.24649, 4117.09438, 4433.27118, 4798.65112, 5204.0304, 5648.50333, 6123.68137, 6626.71883, 7182.20718, 7799.21788, 8485.94375, 9252.47006, 10108.1724, 11062.4264, 12124.6076, 13681.8839, 15271.3905, 16808.055, 18206.8049, 19382.5677, 20091.1032, 20512.6184, 20630.2556, 20190.7467, 19270.8129, 18045.6799, 16587.1438, 14967.0007, 13257.0468, 11529.078, 10020.3607, 8629.63832, 7353.5544, 6188.75257, 5131.87645, 4179.56964, 3328.47574, 2598.30101, 1896.87465},
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885  {-612.03065, -611.823335, -611.147064, -610.015078, -608.440622, -606.436935, -604.017261, -601.194843, -597.982921, -594.394739, -590.443539, -586.142563, -581.505053, -576.544252, -571.273402, -565.705745, -559.854524, -553.73298, -547.354356, -540.731894, -533.878837, -526.808426, -519.533905, -512.068515, -504.425499, -496.618098, -488.659555, -480.563113, -472.342014, -464.009499, -455.578812, -447.063194, -438.475888, -429.830135, -421.487489, -413.279709, -405.034371, -396.753414, -388.438777, -380.092399, -371.716219, -363.312175, -354.882207, -346.428254, -337.952255, -329.456148, -320.941873, -312.411368, -303.866573, -295.309426, -286.741867, -278.1112, -269.475183, -260.836938, -252.19959, -243.566262, -234.940077, -226.324159, -217.72163, -209.135614, -200.569235, -192.025615, -183.507879, -175.019149, -166.562549, -158.141202, -149.758231, -141.116453, -131.925895, -122.80904, -113.788479, -104.886803, -96.1266045, -87.530473, -79.121, -70.9207765, -62.9523934, -55.2384419, -47.8015129, -40.6641975, -33.8490867, -27.3787714, -21.2758428, -15.5628918, -12.1720098, -10.1308738, -8.44421027, -7.07264321, -5.9767967, -5.1172948, -4.45476158, -3.94982109, -3.56309741, -3.25521458, -2.98679667, -2.71846774, -2.41085186, -2.02457308, -1.52025547, -0.858523091, 0, 14.0945819, 26.7717266, 38.0776457, 48.0585508, 56.7606537, 64.2301661, 70.5132995, 75.6562657, 79.7052764, 82.7065432, 84.7062777, 85.7506918, 85.8859969, 85.1584049, 83.6141273, 81.2993759, 76.4860194, 68.9667921, 62.8013, 57.6555387, 53.1955033, 49.0871892, 44.9965919, 40.5897066, 35.5325286, 29.4910535, 22.1312764, 13.1191927, 2.1207978, -12.5014089, -29.2999877, -48.2178943, -69.1980846, -91.2065999, -114.674853, -140.294768, -168.302376, -198.933706, -232.424789, -269.011655, -308.945309, -352.44225, -399.735577, -451.05839, -506.64379, -573.862589, -644.025748, -715.581937, -786.97983, -856.668099, -915.291305, -978.640587, -1057.19563, -1155.36655, -1265.17139, -1384.192, -1510.01021, -1633.60804, -1760.66711, -1904.06877, -2077.1232, -2266.33657, -2461.75755, -2658.87412, -2862.39094, -3072.78205, -3290.01885, -3514.44506, -3748.2475, -3992.57044, -4254.07935, -4527.54785, -4812.20901, -5107.2959, -5412.04158, -5772.92272, -6130.11788, -6471.04923, -6783.13893, -7053.80914, -7221.05691, -7354.67961, -7463.2816, -7568.38881, -7673.49082, -7776.69323, -7881.75483, -7992.43441, -8112.49075, -8245.68263, -8486.62777, -8708.05048, -8908.45562, -9086.34806, -9240.23268, -9368.61433, -9469.99788, -9807.88063, -9859.41027},
886  {-620.114449, -619.883032, -619.193969, -618.059909, -616.493505, -614.507406, -612.114264, -609.32673, -606.157454, -602.619088, -598.724282, -594.485688, -589.915956, -585.027737, -579.833682, -574.346442, -568.578668, -562.543011, -556.252122, -549.718651, -542.95525, -535.97457, -528.789261, -521.411974, -513.85536, -506.132071, -498.254757, -490.236069, -482.088658, -473.825175, -465.45827, -457.000596, -448.464801, -439.863539, -431.531194, -423.312782, -415.049453, -406.743417, -398.396884, -390.012063, -381.591165, -373.1364, -364.649978, -356.134108, -347.591002, -339.022868, -330.431917, -321.820358, -313.190403, -304.54426, -295.88414, -287.176402, -278.459884, -269.737572, -261.012456, -252.28752, -243.565754, -234.850143, -226.143675, -217.449338, -208.770118, -200.109003, -191.46898, -182.853036, -174.264158, -165.705333, -157.179549, -148.384217, -139.024085, -129.732368, -120.531861, -111.445362, -102.495666, -93.705571, -85.0978723, -76.6953666, -68.5208503, -60.59712, -52.9469719, -45.5932025, -38.5586083, -31.8659857, -25.5381311, -19.5978409, -16.1530782, -14.1401973, -12.4704908, -11.0990872, -9.98111544, -9.07170419, -8.32598222, -7.69907829, -7.14612117, -6.62223961, -6.08256236, -5.48221819, -4.77633585, -3.92004411, -2.86847171, -1.57674742, 0, 20.5891464, 39.0629862, 55.4878825, 69.9301986, 82.4562977, 93.1325428, 102.025297, 109.200924, 114.725786, 118.666247, 121.08867, 122.059418, 121.644854, 119.911342, 116.925244, 112.752924, 106.974675, 99.5874236, 91.7569734, 83.4455303, 74.6153, 65.2284877, 55.2472992, 44.6339398, 33.3506151, 21.3595306, 8.62289173, -4.89709597, -19.238227, -33.6945936, -49.3203833, -66.3765014, -85.123853, -106.574516, -130.613809, -156.926738, -185.548858, -216.515721, -249.86288, -285.62589, -322.729892, -362.658803, -405.665431, -452.002582, -501.923065, -560.159315, -621.364606, -684.67184, -749.213917, -814.123739, -873.873872, -937.953518, -1012.3189, -1099.62276, -1195.77317, -1299.70642, -1410.3588, -1522.37802, -1639.96364, -1771.99363, -1928.9534, -2099.73482, -2274.03265, -2448.16105, -2629.65045, -2820.88282, -3026.30487, -3248.83388, -3483.81649, -3730.88173, -3989.22577, -4258.97708, -4539.91455, -4831.81702, -5134.46336, -5502.00047, -5866.24718, -6213.39033, -6529.61677, -6801.11338, -6958.65303, -7080.77919, -7177.42753, -7280.36296, -7390.88045, -7501.17944, -7613.00966, -7728.12086, -7848.26276, -7975.18509, -8230.05336, -8419.08392, -8560.43623, -8672.26976, -8772.74397, -8880.01834, -9012.25233, -9182.1552, -9326.19517},
887  {-650.766465, -650.401968, -649.593433, -648.351663, -646.687464, -644.611642, -642.135001, -639.268348, -636.022487, -632.408223, -628.436362, -624.117708, -619.463069, -614.483247, -609.18905, -603.591281, -597.700747, -591.528252, -585.084603, -578.380603, -571.427059, -564.234775, -556.814557, -549.17721, -541.33354, -533.294351, -525.070449, -516.672639, -508.111727, -499.398517, -490.543816, -481.558427, -472.453157, -463.238811, -454.129609, -445.030369, -435.843467, -426.573106, -417.223491, -407.798826, -398.303315, -388.741161, -379.11657, -369.433744, -359.696888, -349.910207, -340.077903, -330.204182, -320.293247, -310.349302, -300.376552, -290.343268, -280.290365, -270.222826, -260.145635, -250.063775, -239.982228, -229.905978, -219.840007, -209.789299, -199.758836, -189.753602, -179.77858, -169.838752, -159.939102, -150.084613, -140.280267, -130.105707, -119.150788, -108.297726, -97.5790768, -87.0273967, -76.6752418, -66.5551683, -56.6997323, -47.1414898, -37.9129971, -29.0468102, -20.5754853, -12.5315784, -4.94764573, 2.14375661, 8.71007251, 14.7187459, 17.302208, 17.9050397, 18.0058966, 17.664224, 16.9394674, 15.8910725, 14.5784845, 13.0611491, 11.3985118, 9.6500179, 7.87511302, 6.13324263, 4.48385221, 2.98638725, 1.70029324, 0.685015657, 0, 16.3593768, 31.0869257, 44.2328571, 55.8473814, 65.9807092, 74.6830507, 82.0046164, 87.9956168, 92.7062623, 96.1867632, 98.48733, 99.6581732, 99.7495031, 98.8115302, 96.8944649, 94.0485175, 89.8151667, 84.1719467, 78.3197713, 72.1998369, 65.7533399, 58.9214769, 51.6454441, 43.8664381, 35.5256552, 26.5642918, 16.9235445, 6.54460957, -4.6313165, -16.9509838, -30.0796689, -43.9897917, -58.6537717, -73.4315142, -88.6016959, -104.606331, -121.601593, -139.743657, -159.188696, -180.092884, -202.427957, -226.59066, -252.773254, -281.167999, -311.967155, -349.012194, -387.93386, -428.012111, -468.526904, -508.758195, -544.084096, -582.455331, -629.884234, -688.711008, -753.778591, -823.29604, -895.472413, -963.666501, -1032.03996, -1110.04565, -1206.31788, -1313.35536, -1426.50906, -1543.61917, -1666.74382, -1796.00503, -1929.93782, -2068.25275, -2216.47951, -2376.85615, -2558.13982, -2755.04657, -2967.55785, -3195.65513, -3439.31986, -3753.47327, -4069.4221, -4373.41288, -4651.6921, -4890.5063, -5021.34864, -5121.72121, -5201.33621, -5294.40102, -5400.93187, -5510.73868, -5624.34801, -5742.28642, -5865.08044, -5993.25662, -6371.14744, -6578.84146, -6671.59434, -6704.66175, -6733.29936, -6812.76285, -6998.30787, -7207.89873, -7231.63886}
888  };
889 
890  const double a5tab[98][200] = {{1623.72041, 1603.26038, 1582.9671, 1562.83685, 1542.86587, 1523.05045, 1503.38684, 1483.87131, 1464.50013, 1445.26955, 1426.17585, 1407.21528, 1388.38412, 1369.67863, 1351.09507, 1332.6297, 1314.2788, 1296.03863, 1277.90545, 1259.87553, 1241.94513, 1224.11051, 1206.36795, 1188.7137, 1171.14404, 1153.65522, 1136.24351, 1118.90518, 1101.63649, 1084.43371, 1067.29309, 1050.21091, 1033.18343, 1016.20692, 999.118104, 981.99637, 964.923024, 947.899508, 930.927265, 914.007736, 897.142363, 880.332589, 863.579855, 846.885603, 830.251275, 813.678314, 797.168161, 780.722259, 764.342049, 748.028973, 731.784474, 715.655146, 699.596299, 683.608397, 667.691903, 651.847281, 636.074993, 620.375503, 604.749273, 589.196768, 573.71845, 558.314783, 542.986229, 527.733252, 512.556316, 497.455882, 482.432416, 467.555474, 452.892958, 438.302825, 423.78106, 409.323648, 394.926571, 380.585814, 366.297362, 352.057197, 337.861305, 323.705669, 309.586273, 295.499101, 281.440137, 267.405366, 253.390771, 239.392336, 225.216873, 210.958931, 196.715333, 182.488202, 168.279662, 154.091834, 139.926843, 125.786812, 111.673862, 97.5901183, 83.537703, 69.5187392, 55.5353499, 41.5896584, 27.6837875, 13.8198603, 0, -12.1186564, -24.2674317, -36.4713762, -48.7555398, -61.1449727, -73.6647251, -86.3398469, -99.1953884, -112.2564, -125.547931, -139.095031, -152.922752, -167.056143, -181.520255, -196.340136, -211.540838, -227.50695, -244.314885, -261.176449, -278.193736, -295.468841, -313.103857, -331.20088, -349.862004, -369.189322, -389.284928, -410.250918, -432.189385, -455.202424, -479.575975, -505.160876, -532.004066, -560.152486, -588.79689, -618.412311, -649.702096, -682.970043, -718.519944, -756.655596, -797.680794, -842.990751, -891.465673, -943.195819, -998.271446, -1056.78281, -1116.76687, -1180.8805, -1249.7273, -1323.91084, -1404.0347, -1490.72445, -1584.53482, -1683.98873, -1789.44553, -1905.01407, -2033.11973, -2176.18793, -2341.27756, -2525.12745, -2719.42172, -2912.47091, -3121.06027, -3361.10615, -3639.589, -3948.34786, -4286.17191, -4645.67738, -5024.05306, -5441.12197, -5903.90393, -6420.91603, -6997.45046, -7640.00877, -8355.09248, -9149.20315, -10327.923, -11523.9026, -12668.8735, -13694.567, -14532.7144, -14971.0169, -15181.2562, -15156.8911, -14725.3653, -13945.8518, -12946.6962, -11783.6127, -10512.3157, -9188.51922, -7867.93762, -6749.89481, -5735.29053, -4819.2389, -3996.85405, -3263.2501, -2613.54118, -2042.8414, -1562.95934, -1111.20735},
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892  {1424.81636, 1406.6982, 1388.76052, 1370.9988, 1353.40854, 1335.98521, 1318.72428, 1301.62125, 1284.6716, 1267.87079, 1251.21433, 1234.69768, 1218.31633, 1202.06575, 1185.94144, 1169.93888, 1154.05353, 1138.28089, 1122.61644, 1107.05565, 1091.59401, 1076.227, 1060.9501, 1045.75879, 1030.64856, 1015.61488, 1000.65324, 985.75911, 970.927981, 956.155332, 941.436643, 926.767396, 912.143072, 897.559152, 882.848309, 868.090852, 853.369049, 838.683664, 824.035462, 809.425209, 794.853667, 780.321604, 765.829782, 751.378967, 736.969923, 722.603415, 708.280209, 694.001067, 679.766756, 665.57804, 651.435684, 637.317148, 623.247006, 609.226529, 595.256985, 581.339646, 567.47578, 553.666658, 539.91355, 526.217725, 512.580453, 499.003005, 485.48665, 472.032658, 458.642299, 445.316843, 432.05756, 418.964619, 406.135816, 393.368446, 380.65737, 367.997444, 355.383529, 342.810482, 330.273163, 317.766429, 305.28514, 292.824154, 280.37833, 267.942526, 255.511601, 243.080414, 230.643824, 218.196688, 205.412935, 192.45464, 179.487734, 166.51749, 153.549182, 140.588083, 127.639466, 114.708606, 101.800775, 88.9212468, 76.075295, 63.268193, 50.5052142, 37.7916321, 25.1327201, 12.5337516, 0, -11.56261, -22.9568568, -34.2199259, -45.3890025, -56.5012718, -67.5939192, -78.70413, -89.8690894, -101.125983, -112.511995, -124.064313, -135.82012, -147.816602, -160.090944, -172.680333, -185.621952, -198.908768, -212.571648, -226.7478, -241.464932, -256.750754, -272.632976, -289.139308, -306.297459, -324.135138, -342.680056, -361.959922, -382.002445, -402.835335, -424.213426, -446.537357, -469.916702, -494.461034, -520.346942, -547.65049, -576.42987, -606.77455, -638.773995, -672.517673, -708.095051, -743.75089, -781.980795, -823.235154, -867.964354, -916.618785, -975.359217, -1037.49806, -1102.0581, -1168.06213, -1234.53295, -1296.65046, -1361.97719, -1433.01117, -1511.4386, -1597.28815, -1691.33271, -1794.34515, -1908.88958, -2033.54054, -2164.9185, -2298.16295, -2439.97692, -2601.31508, -2784.48016, -2977.1146, -3173.59016, -3366.38684, -3549.38594, -3723.40516, -3885.33858, -4026.91504, -4150.98851, -4256.24103, -4341.35465, -4405.01141, -4214.88475, -4058.41748, -3992.04378, -4072.19787, -4355.31393, -5255.02389, -6232.43241, -7190.88893, -7664.48683, -7702.73943, -7509.01676, -7125.1393, -6592.92755, -5954.202, -5250.78314, -4593.25484, -3950.42195, -3333.97552, -2755.6066, -2227.00625, -1759.86552, -1365.87547, -1015.11083, -720.103069},
893  {1327.80903, 1311.72413, 1295.74686, 1279.87552, 1264.1084, 1248.44379, 1232.87998, 1217.41525, 1202.0479, 1186.77622, 1171.5985, 1156.51304, 1141.5181, 1126.612, 1111.79302, 1097.05945, 1082.40958, 1067.84171, 1053.35411, 1038.94508, 1024.61291, 1010.3559, 996.172328, 982.060488, 968.018669, 954.045163, 940.138259, 926.296248, 912.517421, 898.800066, 885.142475, 871.542937, 857.999743, 844.511183, 831.108371, 817.772494, 804.484347, 791.241154, 778.040141, 764.878532, 751.753553, 738.662427, 725.602382, 712.570641, 699.564429, 686.580972, 673.617495, 660.671222, 647.739379, 634.819191, 621.907882, 608.765078, 595.630754, 582.507286, 569.39705, 556.302422, 543.225778, 530.169492, 517.135941, 504.127501, 491.146547, 478.195456, 465.276602, 452.392361, 439.54511, 426.737224, 413.971078, 401.321422, 388.861266, 376.443723, 364.066476, 351.72721, 339.423608, 327.153355, 314.914135, 302.703632, 290.51953, 278.359512, 266.221264, 254.10247, 242.000812, 229.913976, 217.839646, 205.775505, 193.537248, 181.217381, 168.910599, 156.620493, 144.350651, 132.104665, 119.886124, 107.698618, 95.5457371, 83.4310715, 71.3582112, 59.3307461, 47.3522663, 35.4263617, 23.5566225, 11.7466386, 0, -10.6266262, -21.1449064, -31.5864849, -41.9830058, -52.3661131, -62.7674512, -73.218664, -83.7513958, -94.3972906, -105.187993, -116.155146, -127.330395, -138.745384, -150.431756, -162.421157, -174.745229, -187.608561, -201.067503, -214.762518, -228.762309, -243.135579, -257.951033, -273.277373, -289.183303, -305.737526, -323.008746, -341.065666, -359.97699, -379.81142, -400.817297, -422.817821, -445.827805, -469.862061, -494.35408, -519.609336, -546.08832, -573.980242, -603.47431, -634.759733, -668.02572, -703.688666, -741.641451, -782.028832, -824.995571, -870.686426, -920.261125, -972.595717, -1027.58122, -1085.10865, -1145.06902, -1206.55577, -1271.23233, -1340.27593, -1414.19316, -1492.12132, -1573.8125, -1659.0188, -1745.12558, -1834.78954, -1933.2492, -2047.51931, -2169.90355, -2298.2179, -2429.37124, -2558.73547, -2682.38798, -2798.88314, -2904.94051, -2988.19749, -3041.42884, -3068.86663, -3050.0657, -2973.83487, -2828.98295, -2604.31873, -1781.5205, -983.310226, -325.279336, 76.980733, 107.878545, -936.301575, -2190.944, -3519.58691, -4318.80246, -4636.96955, -4717.0363, -4597.65317, -4317.47063, -3915.13913, -3429.30913, -2964.09608, -2484.03346, -2003.69125, -1537.63941, -1100.44789, -706.686661, -370.925674, -53.1529409, 214.943335},
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908  {489.408433, 490.956453, 492.21316, 493.184383, 493.875954, 494.293704, 494.443464, 494.331065, 493.962337, 493.343113, 492.479222, 491.376495, 490.040765, 488.477861, 486.693615, 484.693857, 482.48442, 480.071132, 477.459827, 474.656333, 471.666484, 468.496109, 465.151039, 461.637106, 457.96014, 454.125972, 450.140434, 446.009356, 441.73857, 437.333906, 432.801195, 428.146268, 423.374957, 418.493092, 413.573866, 408.588013, 403.505455, 398.329838, 393.064807, 387.714006, 382.281081, 376.769676, 371.183437, 365.526008, 359.801034, 354.01216, 348.163032, 342.257293, 336.29859, 330.290567, 324.236868, 318.20591, 312.135163, 306.026868, 299.883265, 293.706595, 287.499099, 281.263018, 275.000592, 268.714063, 262.405672, 256.077658, 249.732263, 243.371729, 236.998294, 230.614202, 224.221691, 217.882538, 211.657087, 205.424795, 199.184044, 192.933214, 186.670688, 180.394847, 174.104073, 167.796746, 161.471249, 155.125962, 148.759268, 142.369548, 135.955183, 129.514555, 123.046046, 116.548036, 109.635405, 102.506352, 95.3636851, 88.2182321, 81.0808194, 73.962274, 66.8734226, 59.8250923, 52.8281099, 45.8933022, 39.0314962, 32.2535187, 25.5701966, 18.9923568, 12.5308262, 6.19643162, 0, -1.98681623, -4.34051091, -7.04860201, -10.0986075, -13.4780453, -17.1744334, -21.1752897, -25.4681323, -30.040479, -34.8798478, -39.9737567, -45.3097236, -50.8752665, -56.6579034, -62.6451522, -68.8245308, -75.5141456, -82.7487412, -89.7680767, -96.6305101, -103.3944, -110.118104, -116.859982, -123.67839, -130.631688, -137.778234, -145.176386, -152.884503, -160.960942, -170.077792, -179.454647, -188.965746, -198.48533, -207.574336, -216.263654, -224.667721, -232.754767, -240.493019, -247.850709, -254.796065, -261.703566, -268.011552, -273.608768, -278.383961, -282.225876, -289.58857, -294.654151, -296.170038, -292.88365, -283.542404, -265.714086, -240.767523, -211.955771, -179.225917, -135.775359, -77.8319702, -1.62361969, 96.5199791, 220.495943, 374.312489, 559.564145, 785.038501, 1050.0007, 1361.60724, 1740.38611, 2200.72754, 2754.77777, 3416.34525, 4207.46656, 5145.52398, 6223.46125, 7486.85898, 8961.55892, 10673.4029, 12648.2326, 15817.6765, 19075.343, 22220.6273, 25052.9246, 27371.6298, 28197.0907, 28627.1149, 28794.9748, 29237.1072, 29927.199, 30670.9517, 31450.4515, 32247.7843, 33045.0361, 33824.293, 34835.1013, 35632.5503, 36224.5323, 36618.9394, 36823.6641, 36846.5983, 36695.6345, 36189.6973, 35425.4022},
909  {464.357294, 465.76943, 466.919421, 467.812177, 468.45261, 468.845633, 468.996156, 468.909091, 468.58935, 468.041844, 467.271485, 466.283184, 465.081853, 463.672404, 462.059748, 460.248797, 458.244462, 456.051654, 453.675287, 451.12027, 448.391516, 445.493937, 442.432443, 439.211946, 435.837358, 432.313591, 428.645556, 424.838165, 420.896329, 416.82496, 412.628969, 408.313269, 403.882769, 399.342384, 394.735895, 390.047961, 385.262773, 380.38398, 375.415233, 370.360182, 365.222476, 360.005766, 354.713703, 349.349935, 343.918114, 338.421889, 332.86491, 327.250828, 321.583292, 315.865953, 310.10246, 304.357293, 298.571953, 292.748774, 286.890086, 280.99822, 275.075509, 269.124283, 263.146874, 257.145614, 251.122833, 245.080864, 239.022038, 232.948687, 226.863141, 220.767733, 214.664793, 208.621062, 202.701734, 196.776303, 190.842923, 184.899751, 178.944944, 172.976657, 166.993047, 160.992269, 154.97248, 148.931836, 142.868492, 136.780605, 130.666332, 124.523828, 118.351249, 112.146751, 105.511974, 98.6516711, 91.7753646, 84.8940779, 78.0188348, 71.1606591, 64.3305748, 57.5396056, 50.7987754, 44.1191081, 37.5116274, 30.9873574, 24.5573217, 18.2325443, 12.0240489, 5.94285958, 0, -2.1047361, -4.51022423, -7.20744046, -10.1873608, -13.4409613, -16.9592181, -20.7331071, -24.7536044, -29.011686, -33.498328, -38.2045065, -43.1211975, -48.2393769, -53.5500209, -59.0441056, -64.7126069, -70.7418229, -77.150633, -83.4882131, -89.7873941, -96.0810066, -102.401882, -108.78285, -115.256742, -121.856388, -128.614621, -135.564269, -142.738165, -150.169138, -158.267542, -166.550261, -174.936868, -183.346939, -191.921151, -200.468526, -208.739128, -216.586198, -223.862981, -230.42272, -236.11866, -240.083337, -243.110045, -245.193037, -246.326563, -246.504874, -250.278918, -251.947075, -250.364422, -244.386035, -232.866991, -214.625147, -188.598292, -157.696708, -121.248107, -71.2657855, -3.04706414, 88.1107372, 212.544497, 368.042197, 546.24542, 736.071031, 956.731203, 1209.99618, 1506.14805, 1869.8917, 2319.31173, 2877.59121, 3564.13655, 4379.65977, 5335.44749, 6406.28128, 7645.56899, 9077.23361, 10725.1981, 12613.3856, 15601.2175, 18668.2437, 21629.5125, 24300.0722, 26494.9711, 27303.2112, 27749.9181, 27961.303, 28445.8995, 29178.5827, 29974.9266, 30817.7714, 31689.9573, 32574.3244, 33453.713, 34901.0846, 35926.4035, 36600.2035, 36993.0185, 37175.3823, 37217.8289, 37190.8922, 36682.5593, 35974.2226},
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988  };
989 
990  const double b3tab[98][200] = {{98.4097635, 97.4218531, 96.4411126, 95.4672231, 94.4998661, 93.5387228, 92.5834745, 91.6338025, 90.6893881, 89.7499126, 88.8150574, 87.8845036, 86.9579327, 86.0350259, 85.1154645, 84.1989299, 83.2851033, 82.3736659, 81.4642993, 80.5566845, 79.650503, 78.7454359, 77.8411648, 76.9373707, 76.0337351, 75.1299392, 74.2256643, 73.3205918, 72.4144029, 71.5067789, 70.5974011, 69.6859509, 68.7721096, 67.8555584, 66.9148496, 65.9606735, 65.0039743, 64.0451188, 63.0844742, 62.1224073, 61.1592851, 60.1954747, 59.2313429, 58.2672568, 57.3035834, 56.3406896, 55.3789423, 54.4187087, 53.4603556, 52.50425, 51.550759, 50.6195742, 49.691319, 48.7659414, 47.8433894, 46.9236111, 46.0065545, 45.0921678, 44.1803988, 43.2711958, 42.3645067, 41.4602796, 40.5584626, 39.6590037, 38.7618509, 37.8669523, 36.974256, 36.1089066, 35.2954438, 34.4818496, 33.6664387, 32.8475255, 32.023425, 31.1924515, 30.35292, 29.5031449, 28.641441, 27.7661228, 26.8755052, 25.9679026, 25.0416299, 24.0950016, 23.1263323, 22.1339369, 20.9363852, 19.6256451, 18.2958444, 16.9511309, 15.5956524, 14.2335564, 12.8689908, 11.5061032, 10.1490414, 8.8019531, 7.46898596, 6.15428772, 4.86200609, 3.5962888, 2.36128354, 1.16113803, 0, -0.552595377, -1.10657047, -1.66258326, -2.22129173, -2.78335387, -3.34942765, -3.92017106, -4.49624209, -5.07829871, -5.6669989, -6.26300066, -6.86696196, -7.47954079, -8.10139513, -8.73318296, -9.37556226, -9.91080302, -10.3226506, -10.8795455, -11.5567767, -12.3296334, -13.1734047, -14.0633798, -14.9748477, -15.8830976, -16.7634187, -17.5910999, -18.3414305, -18.9896996, -19.4608292, -19.7989435, -19.9944416, -20.037723, -20.0986524, -20.0778963, -19.8282636, -19.286314, -18.3886069, -17.0717019, -15.2721587, -13.427087, -10.8201547, -7.28998774, -2.6752119, 3.18554698, 9.10403895, 16.9286683, 27.1582154, 40.2914602, 56.8271831, 76.8795517, 101.802041, 131.014707, 165.124392, 207.160952, 259.06636, 322.782588, 397.969448, 489.369747, 604.215915, 744.800208, 920.138539, 1128.23309, 1376.76718, 1689.82832, 2083.97422, 2559.82099, 3129.79331, 3864.76853, 4802.55989, 5705.39299, 6929.06677, 8606.79018, 10871.7721, 13857.2216, 21410.5841, 29022.2728, 35896.9375, 41239.2281, 44253.7943, 40818.9684, 35683.2629, 29476.8921, 24581.4137, 20933.8023, 17741.3059, 14977.3854, 12615.5016, 10629.1152, 8991.68704, 7726.01004, 6753.20196, 6025.06843, 5493.41509, 5110.04759, 4826.77156, 4595.39264, 4501.99075, 4555.25062},
991  {88.9798529, 87.8348171, 86.7184098, 85.6295658, 84.5672202, 83.530308, 82.5177643, 81.5285241, 80.5615224, 79.6156942, 78.6899746, 77.7832986, 76.8946011, 76.0228174, 75.1668822, 74.3257308, 73.4982981, 72.6835191, 71.8803289, 71.0876624, 70.3044548, 69.529641, 68.7621561, 68.000935, 67.2449129, 66.4930247, 65.7442054, 64.9973901, 64.2515139, 63.5055117, 62.7583185, 62.0088695, 61.2560995, 60.4989437, 59.6890172, 58.8499104, 58.0057821, 57.157103, 56.3043438, 55.4479751, 54.5884676, 53.7262918, 52.8619185, 51.9958182, 51.1284617, 50.2603195, 49.3918624, 48.5235609, 47.6558857, 46.7893074, 45.9242967, 45.0820481, 44.2418592, 43.4037513, 42.5677458, 41.733864, 40.9021274, 40.0725574, 39.2451753, 38.4200025, 37.5970605, 36.7763705, 35.9579541, 35.1418325, 34.3280272, 33.5165596, 32.707451, 31.9232276, 31.185875, 30.4490005, 29.7111665, 28.9709355, 28.2268701, 27.4775327, 26.7214858, 25.957292, 25.1835137, 24.3987135, 23.6014538, 22.7902971, 21.963806, 21.120543, 20.2590704, 19.377951, 18.3371694, 17.2074917, 16.0613499, 14.9018033, 13.7319118, 12.5547348, 11.373332, 10.1907631, 9.01008752, 7.83436501, 6.66665514, 5.51001755, 4.36751183, 3.2421976, 2.13713447, 1.05538207, 0, -0.56106197, -1.13680422, -1.72665807, -2.33005481, -2.94642576, -3.57520222, -4.2158155, -4.8676969, -5.53027773, -6.2029893, -6.88526292, -7.57652989, -8.27622151, -8.9837691, -9.69860396, -10.4201574, -11.1029521, -11.7400038, -12.4323229, -13.1697175, -13.9419955, -14.738965, -15.550434, -16.3662105, -17.1761027, -17.9699184, -18.7374657, -19.4685527, -20.1529873, -20.8579803, -21.4675561, -21.9483018, -22.2668046, -22.4279774, -22.3792446, -22.0578105, -21.4187644, -20.4171961, -19.0081949, -17.1468505, -15.6015742, -13.2666009, -9.93789194, -5.41140867, 0.516887584, 7.2025123, 15.9101582, 27.0559946, 41.0561912, 58.3269173, 78.4837837, 103.721979, 133.669421, 169.129101, 213.303118, 268.316423, 336.293964, 416.724478, 514.968267, 639.261501, 792.584956, 984.268113, 1210.08951, 1478.40685, 1818.89253, 2251.43514, 2782.06654, 3427.08283, 4253.58821, 5299.94696, 6336.96084, 7711.72008, 9555.20678, 11998.403, 15172.2908, 22875.94, 30655.223, 37724.0999, 43296.5308, 46586.4758, 43580.2304, 38871.1957, 33056.6169, 28335.1272, 24670.0886, 21357.6182, 18394.4405, 15777.2799, 13502.8608, 11567.9076, 9939.42403, 8731.20653, 7867.48849, 7272.50328, 6870.4843, 6585.66493, 6342.27857, 6330.25421, 6662.21957},
992  {81.2404201, 80.2072505, 79.1926537, 78.1960443, 77.2168371, 76.2544466, 75.3082876, 74.3777746, 73.4623224, 72.5613455, 71.6742586, 70.8004764, 69.9394135, 69.0904845, 68.2531042, 67.4266872, 66.6106481, 65.8044015, 65.0073622, 64.2189447, 63.4385638, 62.665634, 61.89957, 61.1397865, 60.3856981, 59.6367195, 58.8922654, 58.1517502, 57.4145888, 56.6801958, 55.9479858, 55.2173735, 54.4877735, 53.7586004, 53.0097581, 52.2508271, 51.4916222, 50.7321914, 49.9725823, 49.2128429, 48.453021, 47.6931644, 46.9333208, 46.1735381, 45.4138642, 44.6543468, 43.8950337, 43.1359728, 42.3772119, 41.6187988, 40.8607812, 40.0971879, 39.3342163, 38.5720448, 37.8108515, 37.0508149, 36.2921132, 35.5349247, 34.7794278, 34.0258007, 33.2742217, 32.5248691, 31.7779213, 31.0335565, 30.291953, 29.5532892, 28.8177433, 28.1086091, 27.4486253, 26.7902964, 26.1323022, 25.4733225, 24.8120371, 24.1471258, 23.4772685, 22.8011449, 22.117435, 21.4248184, 20.721975, 20.0075847, 19.2803273, 18.5388825, 17.7819303, 17.0081503, 16.1108422, 15.1435925, 14.1612542, 13.1659269, 12.1597102, 11.1447039, 10.1230074, 9.09672035, 8.06794244, 7.03877323, 6.01131234, 4.98765939, 3.96991398, 2.96017572, 1.96054423, 0.973119121, 0, -0.398298167, -0.859759607, -1.38016123, -1.95527997, -2.58089272, -3.25277641, -3.96670796, -4.71846428, -5.50382228, -6.31855889, -7.15845102, -8.01927558, -8.8968095, -9.78682968, -10.6851131, -11.5874365, -12.5111084, -13.4549814, -14.3661307, -15.244947, -16.0918211, -16.9071438, -17.6913058, -18.444698, -19.1677111, -19.8607358, -20.5241631, -21.1583835, -21.763788, -22.4655822, -23.0935765, -23.6107172, -23.9799505, -24.2285323, -24.2872541, -24.0697583, -23.5196984, -22.580728, -21.1965004, -19.3106693, -17.6298974, -15.1026087, -11.523172, -6.68595658, -0.385331315, 6.35140837, 15.2710514, 26.8874603, 41.7144976, 60.2660258, 82.4843757, 110.153481, 142.346685, 179.756481, 226.381113, 284.734613, 357.331009, 444.387191, 551.236408, 685.717877, 848.846951, 1054.22502, 1301.93616, 1602.4419, 1983.78779, 2465.94805, 3046.99376, 3741.22052, 4643.2354, 5802.21675, 7032.35294, 8653.96463, 10797.5728, 13593.6986, 17172.8631, 25530.0904, 33965.2726, 41642.805, 47727.0826, 51382.5009, 48353.1183, 43503.8912, 37465.0732, 32559.6849, 28747.9267, 25284.679, 22165.4081, 19385.58, 16940.661, 14826.1172, 13107.975, 11711.4202, 10596.3588, 9722.69702, 9050.34097, 8539.19682, 8149.17071, 7933.18319, 7994.09837},
993  {74.8104589, 73.8549822, 72.9129376, 71.9840367, 71.0679913, 70.1645129, 69.2733133, 68.394104, 67.5265968, 66.6705033, 65.8255351, 64.9914039, 64.1678214, 63.3544992, 62.5511489, 61.7574823, 60.9732109, 60.1980465, 59.4317007, 58.6738851, 57.9243113, 57.1826912, 56.4487362, 55.7221582, 55.0026686, 54.2899792, 53.5838016, 52.8838475, 52.1898286, 51.5014564, 50.8184427, 50.1404991, 49.4673373, 48.7986688, 48.1390194, 47.4855924, 46.8355335, 46.188398, 45.5437413, 44.901119, 44.2600864, 43.620199, 42.9810122, 42.3420814, 41.7029621, 41.0632096, 40.4223796, 39.7800273, 39.1357082, 38.4889777, 37.8393913, 37.1589304, 36.4753222, 35.7887199, 35.0992766, 34.4071455, 33.7124799, 33.0154328, 32.3161576, 31.6148073, 30.9115351, 30.2064943, 29.499838, 28.7917193, 28.0822916, 27.3717079, 26.6601215, 25.9575591, 25.2738105, 24.5886652, 23.9016365, 23.2122373, 22.5199809, 21.8243803, 21.1249486, 20.4211991, 19.7126447, 18.9987986, 18.279174, 17.5532838, 16.8206414, 16.0807597, 15.3331519, 14.5773311, 13.7713388, 12.9362961, 12.0938228, 11.2447779, 10.3900203, 9.53040901, 8.66680295, 7.80006107, 6.93104234, 6.0606057, 5.18961011, 4.31891452, 3.44937789, 2.58185917, 1.71721731, 0.856311269, 0, -0.427156002, -0.920612215, -1.47572082, -2.08783401, -2.75230395, -3.46448284, -4.21972285, -5.01337617, -5.84079498, -6.69733147, -7.57833782, -8.47916621, -9.39516883, -10.3216979, -11.2541055, -12.1877439, -13.144446, -14.1233471, -15.0599023, -15.9551381, -16.8100812, -17.6257582, -18.4031959, -19.1434208, -19.8474596, -20.516339, -21.1510855, -21.7527259, -22.3222867, -22.9882109, -23.5773896, -24.0526246, -24.3767175, -24.5546693, -24.5281822, -24.2277052, -23.6033804, -22.6053497, -21.1837551, -19.2887388, -17.9715463, -15.7460976, -12.3471011, -7.50926552, -0.967299594, 6.71474737, 16.8388426, 29.8776125, 46.3036837, 66.5896827, 90.2037862, 119.850731, 155.033024, 196.710728, 248.819759, 313.959935, 394.731077, 490.636326, 608.075967, 756.82848, 938.590021, 1168.514, 1446.97003, 1785.78438, 2216.19604, 2760.53322, 3415.77273, 4197.6702, 5214.93653, 6523.70187, 7881.98437, 9689.88956, 12106.7402, 15291.8591, 19404.5689, 29155.3998, 39014.6653, 48003.8866, 55144.5844, 59458.2797, 55948.6998, 50333.6885, 43356.6785, 37816.3259, 33642.5374, 29908.8763, 26588.0663, 23652.8313, 21075.895, 18829.9811, 16911.0343, 15249.2103, 13824.9694, 12618.7722, 11611.0789, 10782.35, 10113.0458, 9670.86568, 9453.89022},
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995  {68.2331449, 67.8716052, 67.4764804, 67.0490866, 66.5907398, 66.1027561, 65.5864517, 65.0431426, 64.4741449, 63.8807747, 63.2643481, 62.6261812, 61.9675902, 61.289891, 60.5943998, 59.8824326, 59.1553057, 58.4143349, 57.6608366, 56.8961267, 56.1215213, 55.3383365, 54.5478885, 53.7514933, 52.9504671, 52.1461258, 51.3397856, 50.5327626, 49.7263729, 48.9219326, 48.1207578, 47.3241645, 46.5334689, 45.749987, 45.0387841, 44.3679607, 43.7048514, 43.0487035, 42.3987643, 41.7542811, 41.1145012, 40.478672, 39.8460407, 39.2158547, 38.5873612, 37.9598077, 37.3324413, 36.7045095, 36.0752595, 35.4439386, 34.8097942, 34.1111111, 33.4094206, 32.7052917, 31.999293, 31.2919936, 30.5839623, 29.8757679, 29.1679793, 28.4611654, 27.755895, 27.052737, 26.3522602, 25.6550335, 24.9616258, 24.272606, 23.5885428, 22.9344663, 22.3348194, 21.7397214, 21.1481555, 20.5591049, 19.9715527, 19.384482, 18.796876, 18.2077179, 17.6159907, 17.0206777, 16.4207619, 15.8152265, 15.2030546, 14.5832295, 13.9547341, 13.3165518, 12.6132307, 11.8721165, 11.1212088, 10.3612574, 9.59301188, 8.81722191, 8.03463715, 7.24600724, 6.45208186, 5.65361064, 4.85134325, 4.04602934, 3.23841858, 2.4292606, 1.61930508, 0.809301659, 0, -0.957080673, -1.87269606, -2.75023109, -3.59307069, -4.40459979, -5.18820332, -5.9472662, -6.68517337, -7.40530975, -8.11106027, -8.80580985, -9.49294344, -10.1758459, -10.8579023, -11.5424975, -12.2330163, -12.7644015, -13.1159747, -13.6721214, -14.4001317, -15.2672958, -16.2409038, -17.2882458, -18.3766121, -19.4732926, -20.5455777, -21.5607574, -22.4861219, -23.2889613, -23.8350836, -24.2304713, -24.4728591, -24.5599818, -24.8676177, -25.2044798, -25.2784696, -24.9739089, -24.1751196, -22.7664233, -20.6321419, -18.3586427, -14.9145359, -10.0467865, -3.50235937, 4.97178035, 14.1041722, 26.0534705, 41.4538341, 60.9394219, 85.1443927, 113.354141, 149.20008, 191.704115, 242.120533, 306.261401, 387.892433, 490.779347, 616.533441, 771.564488, 964.632539, 1195.08486, 1483.54185, 1823.88641, 2231.78557, 2759.81833, 3443.62048, 4288.51821, 5322.28927, 6683.84666, 8449.239, 9821.49196, 11883.9883, 15014.977, 19592.7068, 25995.4267, 43645.4879, 61616.0112, 78024.2201, 90987.3378, 98622.5877, 91171.0812, 79876.8947, 66232.7278, 56183.6931, 49460.077, 43936.9938, 39437.4885, 35784.606, 32801.3911, 30310.889, 27484.6564, 24974.5605, 22752.0561, 20788.598, 19055.6409, 17524.6397, 16167.0491, 14883.7163, 13946.4929},
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1002  {53.6791712, 53.1114875, 52.5427765, 51.9732288, 51.403035, 50.8323857, 50.2614715, 49.6904829, 49.1196105, 48.549045, 47.9789768, 47.4095967, 46.8410951, 46.2736626, 45.7074899, 45.1427675, 44.579686, 44.018436, 43.4592081, 42.9021929, 42.3475809, 41.7955627, 41.2463289, 40.7000701, 40.1569769, 39.6172399, 39.0810496, 38.5485967, 38.0200716, 37.4956651, 36.9755677, 36.4599699, 35.9490624, 35.4430357, 34.9623482, 34.4966302, 34.0352686, 33.5777962, 33.1237459, 32.6726506, 32.2240431, 31.7774563, 31.332423, 30.8884761, 30.4451485, 30.001973, 29.5584824, 29.1142097, 28.6686876, 28.2214491, 27.772027, 27.2956882, 26.8167575, 26.3352938, 25.8513561, 25.3650033, 24.8762942, 24.3852878, 23.8920429, 23.3966184, 22.8990734, 22.3994665, 21.8978568, 21.3943032, 20.8888644, 20.3815996, 19.8725674, 19.3682727, 18.8750651, 18.3797098, 17.8818479, 17.3811204, 16.8771683, 16.3696327, 15.8581547, 15.3423752, 14.8219354, 14.2964763, 13.7656389, 13.2290643, 12.6863936, 12.1372677, 11.5813278, 11.0182149, 10.4360031, 9.84036016, 9.237093, 8.626218, 8.00775159, 7.38171017, 6.74811017, 6.10696801, 5.45830009, 4.80212285, 4.13845269, 3.46730604, 2.78869932, 2.10264893, 1.40917131, 0.708282856, 0, 0.0195150034, -0.0982044682, -0.345774133, -0.715809709, -1.20092692, -1.79374147, -2.48686909, -3.27292549, -4.1445264, -5.09428753, -6.1148246, -7.19875332, -8.33868942, -9.52724861, -10.7570466, -12.0206992, -13.4260653, -14.9822241, -16.4211217, -17.760069, -19.0163766, -20.2073553, -21.3503158, -22.4625687, -23.5614249, -24.664195, -25.7881897, -26.9507199, -28.1690961, -29.7454363, -31.3078148, -32.7881001, -34.1181609, -35.2662965, -36.1461602, -36.6616902, -36.7338259, -36.2835067, -35.231672, -33.4992611, -33.3300473, -31.6151866, -27.8211507, -21.4144116, -11.8614411, -0.94878557, 14.7571764, 36.3699916, 65.003207, 101.770369, 145.693437, 202.533932, 270.664337, 352.133098, 456.493741, 589.930162, 758.626259, 961.839471, 1214.25435, 1538.11158, 1936.02805, 2445.57912, 3055.99377, 3797.10814, 4767.56499, 6034.42373, 7574.86815, 9432.65656, 11981.0912, 15407.0655, 17925.4139, 21998.4829, 28495.8017, 38286.8998, 52241.3065, 88265.3622, 125932.582, 161853.294, 192637.824, 214896.498, 212728.806, 203596.47, 189471.605, 177347.777, 167209.441, 156948.782, 146654.867, 136416.765, 126323.545, 116464.277, 108555.196, 100037.555, 91207.4861, 82361.1247, 73794.6051, 65804.0615, 58685.6283, 52224.4262, 45904.7095},
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1004  {50.1717908, 49.5496242, 48.9342458, 48.3255537, 47.7234457, 47.1278199, 46.5385742, 45.9556065, 45.378815, 44.8080975, 44.243352, 43.6844765, 43.131369, 42.5839274, 42.0420498, 41.505634, 40.9745781, 40.44878, 39.9281378, 39.4125493, 38.9019126, 38.3961256, 37.8950864, 37.3986928, 36.9068429, 36.4194346, 35.9363659, 35.4575348, 34.9828393, 34.5121773, 34.0454468, 33.5825458, 33.1233723, 32.6678241, 32.2226207, 31.7841058, 31.3485413, 30.9156038, 30.4849699, 30.0563163, 29.6293196, 29.2036563, 28.7790031, 28.3550366, 27.9314334, 27.5078701, 27.0840233, 26.6595697, 26.2341858, 25.8075483, 25.3793337, 24.9303997, 24.4796499, 24.0271688, 23.573041, 23.117351, 22.6601834, 22.2016229, 21.7417539, 21.280661, 20.8184288, 20.3551419, 19.8908849, 19.4257422, 18.9597985, 18.4931384, 18.0258464, 17.5658898, 17.1210466, 16.675144, 16.2277554, 15.7784544, 15.3268146, 14.8724095, 14.4148126, 13.9535977, 13.4883382, 13.0186076, 12.5439796, 12.0640278, 11.5783256, 11.0864466, 10.5879644, 10.0824526, 9.56606871, 9.04016615, 8.50613941, 7.9636729, 7.41245104, 6.85215825, 6.28247895, 5.70309756, 5.11369849, 4.51396617, 3.90358501, 3.28223944, 2.64961387, 2.00539272, 1.34926041, 0.680901367, 0, -0.14581075, -0.400498719, -0.759111856, -1.21669811, -1.76830544, -2.40898178, -3.1337751, -3.93773333, -4.81590443, -5.76333636, -6.77507705, -7.84617447, -8.97167655, -10.1466313, -11.3660865, -12.6250903, -13.9975933, -15.4899151, -16.9186334, -18.295704, -19.6330824, -20.9427244, -22.2365855, -23.5266215, -24.824788, -26.1430407, -27.4933353, -28.8876273, -30.3378725, -32.0993732, -33.8515113, -35.5332384, -37.0835062, -38.6025248, -39.9486167, -40.937102, -41.4585549, -41.4035494, -40.6626596, -39.1264597, -39.0202347, -37.1892836, -33.0673892, -26.0883345, -15.6859023, -3.66587979, 13.5029556, 36.9798222, 67.9239381, 107.494522, 153.913008, 214.867022, 289.427617, 380.262901, 497.384971, 647.508623, 837.348652, 1064.42788, 1346.74216, 1712.31496, 2169.08683, 2752.66126, 3444.25202, 4274.80511, 5359.53501, 6774.97557, 8504.081, 10599.1238, 13455.5018, 17274.5217, 20523.5637, 25404.619, 32719.1999, 43268.8187, 57854.9873, 93295.7059, 130371.877, 165880.89, 196620.136, 219387.006, 219355.938, 212695.907, 201185.568, 191066.496, 182350.772, 173190.928, 163692.026, 153959.124, 144097.282, 134211.559, 126393.123, 117447.672, 107800.467, 97876.768, 88101.8361, 78900.9318, 70699.3157, 63135.5169, 55431.7303},
1005  {48.1803337, 47.5750754, 46.9775297, 46.3875349, 45.8049295, 45.2295517, 44.6612398, 44.0998323, 43.5451673, 42.9970833, 42.4554187, 41.9200116, 41.3907005, 40.8673237, 40.3497195, 39.8377263, 39.3311824, 38.8299261, 38.3337958, 37.8426298, 37.3562664, 36.874544, 36.3973009, 35.9243754, 35.4556058, 34.9908306, 34.529888, 34.0726164, 33.6188541, 33.1684394, 32.7212107, 32.2770063, 31.8356646, 31.3970238, 30.9622816, 30.530568, 30.100997, 29.6733626, 29.2474591, 28.8230807, 28.4000217, 27.9780762, 27.5570385, 27.1367029, 26.7168635, 26.2973145, 25.8778503, 25.4582649, 25.0383527, 24.6179079, 24.1967246, 23.7632834, 23.3289376, 22.8937265, 22.4576896, 22.0208665, 21.5832966, 21.1450194, 20.7060743, 20.2665009, 19.8263386, 19.3856269, 18.9444053, 18.5027133, 18.0605904, 17.618076, 17.1752096, 16.7393284, 16.3175947, 15.8949966, 15.4711006, 15.0454731, 14.6176804, 14.187289, 13.7538652, 13.3169754, 12.8761861, 12.4310637, 11.9811744, 11.5260848, 11.0653612, 10.59857, 10.1252777, 9.64505047, 9.15788205, 8.66311622, 8.16009167, 7.64836093, 7.12747653, 6.596991, 6.05645688, 5.5054267, 4.94345298, 4.37008827, 3.78488509, 3.18739598, 2.57717346, 1.95377007, 1.31673835, 0.665630811, 0, -0.203481374, -0.504033321, -0.897860341, -1.38116693, -1.9501576, -2.60103683, -3.33000914, -4.13327901, -5.00705096, -5.94752947, -6.95091906, -8.01342421, -9.13124943, -10.3005992, -11.5176781, -12.7786905, -14.1398068, -15.6057982, -17.0372319, -18.4431624, -19.8326439, -21.2147308, -22.5984775, -23.9929381, -25.4071672, -26.8502189, -28.3311477, -29.8590079, -31.4428537, -33.3177403, -35.1838543, -36.9824498, -38.6547809, -40.3730177, -41.9629562, -43.1888151, -43.9225734, -44.0362106, -43.4017059, -41.8910386, -41.6045284, -39.5076235, -35.0363238, -27.6266287, -16.714538, -4.32141661, 13.3484425, 37.5053809, 69.3597405, 110.121863, 157.662052, 220.612956, 298.491144, 394.298042, 518.149994, 676.968887, 877.676613, 1117.13344, 1414.60961, 1800.35168, 2283.31286, 2900.55924, 3634.18632, 4516.49934, 5664.88113, 7157.66249, 8976.17686, 11173.6076, 14158.7951, 18139.4, 21740.9622, 26996.6664, 34661.8305, 45491.7723, 60241.8098, 95022.3222, 131394.801, 166275.798, 196581.866, 219229.558, 220020.512, 214396.137, 204036.522, 194796.022, 186702.411, 178044.182, 168936.07, 159492.811, 149829.143, 140059.8, 131997.04, 122975.022, 113342.777, 103449.338, 93643.7371, 84275.008, 75692.183, 67522.5431, 59393.1713},
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1020  {17.4690024, 17.2890253, 17.1098199, 16.9313647, 16.7536383, 16.5766191, 16.4002855, 16.2246161, 16.0495894, 15.8751838, 15.7013778, 15.5281499, 15.3554785, 15.1833422, 15.0117195, 14.8405887, 14.6699285, 14.4997172, 14.3299334, 14.1605556, 13.9915621, 13.8229316, 13.6546425, 13.4866732, 13.3190023, 13.1516082, 12.9844694, 12.8175644, 12.6508717, 12.4843698, 12.3180371, 12.1518521, 11.9857933, 11.8198392, 11.6553914, 11.4916869, 11.3279455, 11.1640996, 11.0000815, 10.8358234, 10.6712576, 10.5063165, 10.3409324, 10.1750374, 10.0085641, 9.84144458, 9.67361121, 9.50499628, 9.3355321, 9.16515095, 8.99378514, 8.8116976, 8.6286996, 8.44493306, 8.26053989, 8.07566201, 7.89044132, 7.70501974, 7.51953918, 7.33414155, 7.14896876, 6.96416272, 6.77986535, 6.59621856, 6.41336426, 6.23144435, 6.05060076, 5.87615856, 5.7133184, 5.55153228, 5.39060612, 5.2303458, 5.07055726, 4.91104638, 4.75161909, 4.59208129, 4.43223888, 4.27189777, 4.11086388, 3.94894311, 3.78594136, 3.62166455, 3.45591858, 3.28850936, 3.19636138, 3.13909916, 3.07542035, 3.00262819, 2.91802595, 2.81891689, 2.70260428, 2.56639137, 2.40758142, 2.2234777, 2.01138347, 1.76860199, 1.49243652, 1.18019033, 0.829166669, 0.436668806, 0, -0.177496122, -0.455001616, -0.832886316, -1.31152006, -1.89127268, -2.57251402, -3.3556139, -4.24094217, -5.22886866, -6.3197632, -7.51399564, -8.8119358, -10.2139535, -11.7204187, -13.331701, -15.0481704, -16.8295373, -18.6703628, -20.6629849, -22.7990605, -25.0702468, -27.4682009, -29.9845798, -32.6110406, -35.3392404, -38.1608363, -41.0674854, -44.0508447, -47.1025714, -50.4906581, -53.8291033, -57.0266633, -59.9920946, -63.1404451, -66.1273254, -68.473335, -69.9353431, -70.2702186, -69.2348304, -66.5860475, -65.4383009, -61.1690308, -52.878192, -39.6657389, -20.6316264, 1.4567469, 32.0837314, 73.0662334, 126.221159, 193.365415, 272.030917, 373.556773, 495.357846, 641.301181, 828.427024, 1067.86112, 1370.72922, 1743.99199, 2203.88687, 2771.19498, 3437.89011, 4270.41817, 5294.4253, 6554.21664, 8125.71398, 10070.3265, 12401.2067, 15167.2527, 18594.3044, 22808.1135, 27594.0927, 33470.6925, 40681.4744, 49469.9996, 60079.8296, 79168.134, 98961.4637, 118099.978, 135223.837, 148973.198, 153467.963, 154882.056, 153792.891, 152010.967, 149625.601, 146212.325, 141886.144, 136762.067, 130955.099, 124580.246, 114453.369, 106365.564, 99704.4684, 93857.7164, 88212.9442, 82157.7875, 75079.882, 67296.1326, 69457.9317},
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1084  {33.2162295, 34.8606089, 36.3472735, 37.6804866, 38.864512, 39.903613, 40.8020531, 41.564096, 42.1940052, 42.696044, 43.0744761, 43.333565, 43.4775742, 43.5107672, 43.4374076, 43.2617587, 42.9880843, 42.6206477, 42.1637125, 41.6215423, 40.9984004, 40.2985506, 39.5262562, 38.6857807, 37.7813878, 36.8173409, 35.7979036, 34.7273393, 33.6099116, 32.4498839, 31.2515199, 30.019083, 28.7568367, 27.4690446, 26.2181896, 24.9782008, 23.7223079, 22.4528849, 21.1723062, 19.8829459, 18.5871781, 17.2873772, 15.9859172, 14.6851723, 13.3875167, 12.0953247, 10.8109704, 9.53682797, 8.27527163, 7.02867556, 5.79941394, 4.65915343, 3.53947362, 2.44124658, 1.36534437, 0.312639069, -0.715997276, -1.7196926, -2.69757483, -3.64877192, -4.57241179, -5.46762238, -6.33353164, -7.16926749, -7.97395788, -8.74673074, -9.486714, -10.2227231, -10.9828606, -11.7050264, -12.3864237, -13.0242561, -13.6157269, -14.1580396, -14.6483976, -15.0840043, -15.4620631, -15.7797775, -16.0343508, -16.2229865, -16.342888, -16.3912587, -16.3653021, -16.2622215, -15.4921734, -14.3582325, -13.1705292, -11.9453178, -10.6988525, -9.44738749, -8.20717702, -6.99447529, -5.82553654, -4.71661498, -3.68396483, -2.74384032, -1.91249566, -1.20618508, -0.641162794, -0.233683027, 0, -0.64634697, -1.553406, -2.70828577, -4.09809495, -5.70994224, -7.53093631, -9.54818584, -11.7487995, -14.119886, -16.648554, -19.3219122, -22.1270692, -25.0511338, -28.0812146, -31.2044204, -34.4078597, -37.7874873, -41.3459613, -44.824191, -48.2326094, -51.5816491, -54.8817431, -58.1433241, -61.376825, -64.5926787, -67.8013179, -71.0131754, -74.2386842, -77.4882769, -80.8060692, -84.1564608, -87.5397799, -90.9563544, -94.7793628, -98.822708, -102.800866, -106.60231, -110.115513, -113.228947, -115.831087, -117.054283, -117.773254, -118.024409, -117.844158, -117.268911, -118.679967, -119.182624, -118.227068, -115.263488, -109.742069, -100.578237, -88.4105405, -73.9181249, -57.0046249, -35.990343, -9.90646573, 22.2158205, 61.1351888, 108.078352, 164.501268, 229.934886, 309.149638, 404.861448, 520.208859, 659.046512, 824.90035, 1016.98019, 1237.69297, 1505.27144, 1828.99635, 2189.56519, 2629.23946, 3167.19413, 3822.60421, 4614.64469, 6146.13254, 7706.69027, 9169.58236, 10408.0733, 11295.4276, 11222.0588, 10865.9829, 10307.4007, 9844.86444, 9472.14394, 9092.02885, 8702.83781, 8302.88946, 7890.50247, 7463.99546, 7860.94077, 7605.09083, 6910.44997, 5991.02253, 5060.81284, 4333.82525, 4024.06408, 3570.82463, 2979.04932},
1085  {36.6432225, 39.9550389, 42.9619825, 45.6731549, 48.0976578, 50.2445928, 52.1230617, 53.742166, 55.1110074, 56.2386877, 57.1343083, 57.8069711, 58.2657776, 58.5198296, 58.5782286, 58.4500764, 58.1444746, 57.6705248, 57.0373287, 56.2539881, 55.3296044, 54.2732795, 53.0941149, 51.8012123, 50.4036734, 48.9105998, 47.3310932, 45.6742553, 43.9491877, 42.164992, 40.33077, 38.4556232, 36.5486534, 34.6189622, 32.8791199, 31.2322142, 29.5788871, 27.9216374, 26.2629638, 24.605365, 22.9513397, 21.3033866, 19.6640044, 18.0356919, 16.4209478, 14.8222707, 13.2421594, 11.6831126, 10.1476289, 8.63820722, 7.15734612, 5.78528935, 4.44510526, 3.13760719, 1.86360852, 0.623922574, -0.580637281, -1.7492577, -2.88112533, -3.97542681, -5.0313488, -6.04807795, -7.0248009, -7.96070431, -8.85497481, -9.70679907, -10.5153637, -11.3013794, -12.0850398, -12.8211402, -13.5074719, -14.1418261, -14.7219944, -15.2457679, -15.710938, -16.115296, -16.4566334, -16.7327414, -16.9414114, -17.0804347, -17.1476027, -17.1407066, -17.0575379, -16.8958878, -16.040013, -14.8073769, -13.5228175, -12.2040365, -10.8687356, -9.53461649, -8.21938095, -6.94073068, -5.71636742, -4.56399287, -3.50130877, -2.54601684, -1.7158188, -1.02841637, -0.501511277, -0.152805247, 0, -3.28034312, -6.39804729, -9.36732413, -12.2023853, -14.9174424, -17.526707, -20.0443909, -22.4847056, -24.8618628, -27.1900741, -29.4835511, -31.7565054, -34.0231488, -36.2976928, -38.594349, -40.9273292, -43.1148889, -45.1432462, -47.4698463, -50.0669103, -52.9066592, -55.9613141, -59.2030962, -62.6042264, -66.1369259, -69.7734157, -73.485917, -77.2466507, -81.027838, -84.6858371, -88.3512149, -92.0309515, -95.7320267, -99.6909624, -103.799968, -107.89004, -111.899297, -115.765856, -119.427835, -122.82335, -125.477171, -127.866566, -130.010523, -131.928033, -133.638086, -135.216915, -136.611955, -137.827884, -138.86938, -139.741122, -141.324473, -141.675923, -140.60321, -137.569615, -131.335147, -120.975573, -105.566655, -83.7547288, -55.1425866, -19.8014928, 21.7440472, 72.050378, 131.905986, 202.958544, 288.31157, 390.400325, 507.904976, 642.28724, 808.777515, 1014.81785, 1254.1662, 1550.05396, 1914.66, 2360.16318, 2898.74236, 3934.96013, 4990.5157, 5979.49198, 6815.9719, 7414.03839, 7361.70805, 7116.50769, 6732.26294, 6406.71415, 6136.72071, 5859.17758, 5573.94238, 5280.87275, 4979.82632, 4670.66071, 4797.34813, 4584.75702, 4141.56232, 3576.43901, 2998.06202, 2515.10633, 2236.24689, 1973.98466, 1531.57087},
1086  {32.139939, 35.5369083, 38.6420056, 41.4636489, 44.0102563, 46.2902458, 48.3120353, 50.0840429, 51.6146867, 52.9123845, 53.9855544, 54.8426145, 55.4919827, 55.942077, 56.2013155, 56.2781161, 56.1808969, 55.918076, 55.4980712, 54.9293006, 54.2201822, 53.3791341, 52.4145741, 51.3349205, 50.1485911, 48.8640039, 47.489577, 46.0337285, 44.5048762, 42.9114382, 41.2618325, 39.5644772, 37.8277902, 36.0601896, 34.4469342, 32.904302, 31.3464455, 29.7760438, 28.1957762, 26.6083218, 25.0163598, 23.4225693, 21.8296296, 20.2402199, 18.6570193, 17.082707, 15.5199622, 13.971464, 12.4398917, 10.9279245, 9.43824148, 8.03981, 6.6675841, 5.32280599, 4.00671783, 2.72056182, 1.46558015, 0.243014987, -0.94589147, -2.09989704, -3.21775953, -4.29823676, -5.34008655, -6.34206671, -7.30293505, -8.22144938, -9.09636753, -9.93989075, -10.7638975, -11.5394196, -12.2643433, -12.9365549, -13.5539407, -14.1143872, -14.6157806, -15.0560072, -15.4329535, -15.7445057, -15.9885501, -16.1629731, -16.265661, -16.2945002, -16.2473769, -16.1221775, -15.3584587, -14.2450154, -13.0773531, -11.871477, -10.6433923, -9.40910422, -8.18461798, -6.98593875, -5.82907175, -4.73002217, -3.70479522, -2.7693961, -1.93983001, -1.23210216, -0.662217736, -0.246181949, 0, -2.96057998, -5.73424836, -8.33765029, -10.7874309, -13.1002354, -15.2927089, -17.3814966, -19.3832436, -21.3145952, -23.1921963, -25.0326923, -26.8527282, -28.6689493, -30.4980006, -32.3565273, -34.2611747, -36.1304381, -37.9669415, -40.009335, -42.2532318, -44.694245, -47.3279876, -50.1500727, -53.1561135, -56.341723, -59.7025144, -63.2341006, -66.9320949, -70.7921103, -74.8544592, -79.0536657, -83.3719329, -87.7914642, -92.2183283, -96.6727957, -101.195439, -105.791303, -110.465431, -115.222865, -120.068651, -125.137099, -130.264643, -135.431035, -140.616027, -145.79937, -150.896982, -155.968409, -161.009361, -166.015549, -170.982683, -176.216516, -181.023776, -185.632495, -189.88047, -192.808757, -193.816136, -192.301382, -187.504008, -179.018252, -166.612098, -150.28166, -128.691758, -101.818068, -68.6683414, -26.6102426, 26.235738, 89.5030478, 164.488884, 260.726, 383.088654, 531.468458, 716.488874, 944.748922, 1222.84762, 1557.38399, 2189.77563, 2833.09833, 3435.24647, 3944.11441, 4307.59654, 4277.29598, 4128.25918, 3892.50532, 3685.68985, 3506.72593, 3319.67832, 3125.20263, 2923.95447, 2716.58944, 2503.76315, 2283.33515, 2059.46958, 1833.50758, 1606.79031, 1380.65894, 1156.45463, 935.518528, 727.026283, 483.59234},
1087  {31.6116123, 36.1689115, 40.3598168, 44.1945866, 47.683479, 50.8367526, 53.6646656, 56.1774764, 58.3854434, 60.2988248, 61.9278791, 63.2828646, 64.3740397, 65.2116626, 65.8059918, 66.1672856, 66.3058023, 66.2318004, 65.9555381, 65.4872738, 64.8372658, 64.0157725, 63.0330523, 61.8993635, 60.6249644, 59.2201134, 57.6950689, 56.0600891, 54.3254325, 52.5013574, 50.5981222, 48.6259851, 46.5952046, 44.516039, 42.5796926, 40.7021449, 38.7972004, 36.8692454, 34.9226662, 32.9618491, 30.9911804, 29.0150465, 27.0378335, 25.0639279, 23.097716, 21.1435839, 19.2059181, 17.2891049, 15.3975304, 13.5355812, 11.7076433, 10.0486591, 8.42962882, 6.85210846, 5.31765418, 3.82782209, 2.38416829, 0.988248894, -0.358379993, -1.65416226, -2.89754181, -4.08696252, -5.22086828, -6.297703, -7.31591056, -8.27393486, -9.17021978, -9.97588139, -10.6626919, -11.2854567, -11.8443914, -12.3397113, -12.771632, -13.1403687, -13.4461371, -13.6891525, -13.8696304, -13.9877863, -14.0438355, -14.0379935, -13.9704758, -13.8414977, -13.6512749, -13.4000226, -12.7642597, -11.9128585, -11.0185819, -10.0921499, -9.14428244, -8.18569962, -7.22712144, -6.27926793, -5.35285911, -4.458615, -3.60725563, -2.80950101, -2.07607116, -1.41768612, -0.845065893, -0.368930513, 0, -0.0321096849, -0.216258288, -0.550987934, -1.03484075, -1.66635885, -2.44408438, -3.36655944, -4.43232617, -5.63992669, -6.98790313, -8.47479761, -10.0991523, -11.8595092, -13.7544105, -15.7823984, -17.942015, -20.3401688, -22.9908831, -25.647585, -28.3320383, -31.0660063, -33.8712526, -36.7695408, -39.7826343, -42.9322966, -46.2402914, -49.7283821, -53.4183322, -57.3319053, -61.5918638, -66.0819395, -70.7935959, -75.7182971, -80.7727976, -85.9859159, -91.4063928, -97.0481051, -102.924929, -109.050742, -115.43942, -122.063831, -128.991342, -136.243852, -143.84326, -151.811467, -160.128912, -168.869319, -178.064956, -187.748086, -197.950976, -208.744382, -220.07503, -232.040874, -244.658666, -257.77938, -271.328422, -285.231198, -299.454164, -313.872345, -328.315986, -342.763131, -356.885644, -370.299193, -382.787028, -394.416354, -405.124038, -415.668256, -426.198808, -433.854012, -437.475653, -437.79868, -431.48045, -416.707421, -391.666046, -354.54278, -254.605197, -151.188354, -54.7084283, 24.4184052, 75.7759704, 49.668391, 1.14565862, -63.3742454, -120.987319, -171.801297, -222.793089, -273.726973, -324.367224, -374.478119, -423.823935, -439.081398, -477.313406, -530.616936, -591.08897, -650.826486, -701.926463, -736.485883, -755.714371, -806.256731}
1088  };
1089 
1090  const double b4tab[98][200] = {{-186.925396, -184.835303, -182.761961, -180.70479, -178.663211, -176.636644, -174.62451, -172.62623, -170.641225, -168.668915, -166.708722, -164.760064, -162.822364, -160.895043, -158.97752, -157.069216, -155.169553, -153.27795, -151.393829, -149.51661, -147.645713, -145.780561, -143.920573, -142.065169, -140.213772, -138.3658, -136.520676, -134.677819, -132.836651, -130.996592, -129.157062, -127.317483, -125.477276, -123.63586, -121.752887, -119.8485, -117.943317, -116.038051, -114.133412, -112.230112, -110.328862, -108.430373, -106.535357, -104.644524, -102.758587, -100.878256, -99.0042424, -97.1372579, -95.2780137, -93.4272209, -91.5855908, -89.789941, -88.0040937, -86.2279776, -84.4615212, -82.704653, -80.9573018, -79.2193959, -77.490864, -75.7716347, -74.0616364, -72.3607978, -70.6690475, -68.9863139, -67.3125258, -65.6476115, -63.9914997, -62.3854729, -60.8698206, -59.359182, -57.850805, -56.3419373, -54.8298267, -53.3117209, -51.7848676, -50.2465147, -48.6939099, -47.124301, -45.5349356, -43.9230617, -42.2859269, -40.6207789, -38.9248657, -37.1954348, -35.1323921, -32.8879105, -30.6177368, -28.3287681, -26.0279014, -23.7220339, -21.4180626, -19.1228847, -16.8433971, -14.5864969, -12.3590814, -10.1680474, -8.02029218, -5.92271275, -3.88220618, -1.90566957, 0, 0.864827967, 1.72997818, 2.59631864, 3.46471734, 4.33604229, 5.21116149, 6.09094293, 6.97625461, 7.86796453, 8.76694069, 9.6740511, 10.5901637, 11.5161466, 12.4528677, 13.4011951, 14.3619967, 15.1548217, 15.7546355, 16.5724318, 17.5702248, 18.7100283, 19.9538564, 21.2637229, 22.601642, 23.9296274, 25.2096932, 26.4038534, 27.474122, 28.3825128, 29.0127609, 29.4338616, 29.6313124, 29.5906109, 29.5704979, 29.4198494, 28.9146767, 27.9585046, 26.4548578, 24.3072609, 21.4192388, 18.461251, 14.3364724, 8.79837528, 1.60043184, -7.50388565, -16.7022099, -28.8146875, -44.6025698, -64.8271085, -90.249555, -121.051693, -159.28248, -204.066638, -256.326969, -320.657363, -400.003467, -497.310928, -612.03855, -751.411286, -926.45792, -1140.78358, -1407.87563, -1724.65392, -2102.68176, -2578.33488, -3176.59972, -3898.87704, -4764.03847, -5877.43634, -7295.50461, -8665.3891, -10515.7793, -13044.7858, -16450.5192, -20931.0901, -32314.7424, -43761.9202, -54063.2006, -62009.161, -66390.3786, -60900.1688, -52824.5455, -43138.6266, -35556.7613, -29969.7886, -25127.2016, -20976.9068, -17466.8106, -14544.8196, -12158.8402, -10320.8061, -8900.66198, -7828.23538, -7033.35386, -6445.84503, -5995.53647, -5612.25575, -5405.08697, -5374.82903},
1091  {-168.555271, -166.178371, -163.859789, -161.597488, -159.389434, -157.233589, -155.127919, -153.070388, -151.058961, -149.091601, -147.166273, -145.280941, -143.43357, -141.622125, -139.844568, -138.098865, -136.38298, -134.694878, -133.032522, -131.393878, -129.776908, -128.179579, -126.599854, -125.035697, -123.485073, -121.945946, -120.41628, -118.894041, -117.377191, -115.863696, -114.35152, -112.838627, -111.322982, -109.802549, -108.18438, -106.513809, -104.837259, -103.155646, -101.469884, -99.7808882, -98.0895726, -96.3968519, -94.7036408, -93.0108538, -91.3194056, -89.6302106, -87.9441836, -86.2622392, -84.5852918, -82.9142561, -81.2500467, -79.6330898, -78.0239317, -76.4226307, -74.8292448, -73.2438319, -71.6664503, -70.0971579, -68.5360128, -66.9830731, -65.4383968, -63.902042, -62.3740667, -60.854529, -59.343487, -57.8409988, -56.3471223, -54.8988805, -53.5324087, -52.1715279, -50.8138997, -49.4571861, -48.0990487, -46.7371494, -45.3691499, -43.9927121, -42.6054976, -41.2051683, -39.789386, -38.3558124, -36.9021093, -35.4259385, -33.9249618, -32.396841, -30.6100545, -28.6816762, -26.731535, -24.7647298, -22.7863601, -20.801525, -18.8153237, -16.8328554, -14.8592195, -12.899515, -10.9588412, -9.04229738, -7.1549827, -5.30199641, -3.48843771, -1.71940583, 0, 0.886339582, 1.79195411, 2.71588912, 3.65719014, 4.61490271, 5.58807236, 6.57574462, 7.57696503, 8.59077912, 9.61623241, 10.6523705, 11.6982388, 12.7528829, 13.8153484, 14.8846807, 15.9599255, 16.9713049, 17.9080326, 18.9248259, 20.0059823, 21.1357997, 22.2985757, 23.478608, 24.6601943, 25.8276322, 26.9652195, 28.0572538, 29.0880328, 30.0418542, 31.0209162, 31.8483858, 32.4731905, 32.8442578, 32.9676672, 32.7637702, 32.137678, 31.0211725, 29.3460359, 27.0440501, 24.046997, 21.5325568, 17.807427, 12.559627, 5.47717607, -3.75190645, -14.1403928, -27.6242742, -44.8403334, -66.4253531, -93.016116, -124.030893, -162.814271, -208.810629, -263.24634, -330.986022, -415.260797, -519.301783, -642.282932, -792.414618, -982.333224, -1216.74165, -1509.6275, -1854.41182, -2263.72911, -2782.77004, -3441.78148, -4250.46451, -5233.7393, -6491.86057, -8082.46957, -9663.09232, -11753.0415, -14548.4597, -18245.4896, -23040.2739, -34728.1977, -46506.3507, -57171.0647, -65518.6719, -70345.5043, -65467.068, -57981.0715, -48818.4867, -41434.5191, -35760.9646, -30677.8549, -26169.5739, -22220.5057, -18815.0343, -15937.5437, -13558.5224, -11775.2924, -10480.143, -9565.36358, -8923.24356, -8446.07234, -8026.1393, -7903.15278, -8205.31554},
1092  {-153.482925, -151.337397, -149.230949, -147.162453, -145.130779, -143.134799, -141.173385, -139.245406, -137.349736, -135.485244, -133.650803, -131.845284, -130.067557, -128.316495, -126.590968, -124.889848, -123.212007, -121.556314, -119.921643, -118.306863, -116.710847, -115.132465, -113.57059, -112.024091, -110.491842, -108.972711, -107.465573, -105.969296, -104.482753, -103.004815, -101.534354, -100.07024, -98.6113451, -97.1565404, -95.6663644, -94.1596612, -92.6557353, -91.1547021, -89.6566768, -88.1617747, -86.670111, -85.1818011, -83.6969601, -82.2157034, -80.7381463, -79.2644039, -77.7945917, -76.3288247, -74.8672184, -73.4098879, -71.9569485, -70.4983299, -69.0445537, -67.5959561, -66.1528731, -64.7156408, -63.2845953, -61.8600727, -60.442409, -59.0319403, -57.6290027, -56.2339322, -54.847065, -53.4687371, -52.0992845, -50.7390434, -49.3883499, -48.0860083, -46.8698996, -45.6610216, -44.4572166, -43.2563271, -42.0561954, -40.8546637, -39.6495744, -38.4387699, -37.2200923, -35.9913842, -34.7504878, -33.4952454, -32.2234994, -30.9330921, -29.6218658, -28.2876628, -26.7528343, -25.1066594, -23.4405265, -21.7579731, -20.0625363, -18.3577537, -16.6471626, -14.9343003, -13.2227041, -11.5159115, -9.81745978, -8.1308863, -6.45972842, -4.80752349, -3.17780888, -1.57412193, 0, 0.643421548, 1.37937144, 2.20132983, 3.10277686, 4.07719267, 5.11805742, 6.21885125, 7.3730543, 8.57414672, 9.81560866, 11.0909203, 12.3935617, 13.717013, 15.0547545, 16.4002662, 17.7470284, 19.1216924, 20.5224771, 21.8678324, 23.1583466, 24.3946078, 25.5772045, 26.7067248, 27.7837571, 28.8088897, 29.7827109, 30.7058089, 31.578772, 32.4021885, 33.3675054, 34.2144708, 34.8864154, 35.3266699, 35.5770558, 35.5316584, 35.0582989, 34.0707606, 32.4828271, 30.2082818, 27.1609083, 24.4179703, 20.3756682, 14.7201481, 7.13755586, -2.68596243, -13.1551319, -26.9702176, -44.9223559, -67.8026829, -96.4023348, -130.655168, -173.257386, -222.777403, -280.267405, -351.850604, -441.373423, -552.682287, -686.103454, -849.803551, -1055.78939, -1305.66937, -1620.15482, -1999.37619, -2459.28503, -3042.64092, -3779.8981, -4668.29109, -5729.66164, -7107.65714, -8877.0248, -10760.0316, -13238.1328, -16508.0879, -20766.6565, -26210.5984, -38976.1271, -51835.6846, -63501.1672, -72684.4709, -78097.4918, -73142.0326, -65380.145, -55799.4796, -48064.9728, -42104.5161, -36730.4647, -31926.4868, -27676.2505, -23963.4238, -20771.6749, -18199.6898, -16103.0164, -14420.9161, -13092.6501, -12057.4797, -11254.6664, -10623.4714, -10224.7671, -10182.7088},
1093  {-140.878578, -138.896878, -136.944493, -135.020846, -133.12536, -131.257457, -129.41656, -127.602091, -125.813472, -124.050126, -122.311475, -120.596942, -118.905949, -117.237918, -115.592272, -113.968434, -112.365825, -110.783868, -109.221986, -107.679601, -106.156135, -104.651011, -103.163651, -101.693478, -100.239914, -98.8023809, -97.380302, -95.9730995, -94.5801957, -93.201013, -91.8349738, -90.4815006, -89.1400157, -87.8099417, -86.497666, -85.1989819, -83.9095992, -82.6287142, -81.3555233, -80.0892228, -78.8290092, -77.5740789, -76.3236281, -75.0768534, -73.8329511, -72.5911175, -71.3505491, -70.1104423, -68.8699933, -67.6283987, -66.3848548, -65.0862724, -63.7852668, -62.4821681, -61.1773059, -59.8710101, -58.5636106, -57.2554372, -55.9468196, -54.6380879, -53.3295717, -52.0216009, -50.7145054, -49.408615, -48.1042595, -46.8017688, -45.5014726, -44.2202016, -42.9743901, -41.7303364, -40.4873008, -39.2445433, -38.0013241, -36.7569035, -35.5105415, -34.2614983, -33.0090341, -31.7524091, -30.4908833, -29.223717, -27.9501703, -26.6695033, -25.3809763, -24.0838494, -22.7096066, -21.2928217, -19.8688831, -18.4392506, -17.0053836, -15.5687418, -14.1307849, -12.6929725, -11.2567641, -9.8236195, -8.39499824, -6.97235994, -5.55716425, -4.15087079, -2.75493917, -1.37082903, 0, 0.689067875, 1.47492338, 2.35041306, 3.30838349, 4.34168122, 5.44315281, 6.60564482, 7.8220038, 9.08507631, 10.3877089, 11.7227482, 13.0830406, 14.4614328, 15.8507714, 17.2439028, 18.6336737, 20.0545105, 21.5052, 22.8845385, 24.1942827, 25.4361891, 26.6120143, 27.7235148, 28.7724472, 29.7605681, 30.689634, 31.5614015, 32.3776272, 33.1400675, 34.0472344, 34.8319854, 35.4370507, 35.8051602, 35.9411799, 35.7567719, 35.1470284, 34.0360384, 32.3478911, 30.0066756, 26.9364811, 24.7521944, 21.1725162, 15.7907274, 8.20010885, -2.00605866, -13.958477, -29.6588869, -49.8330118, -75.2065752, -106.5053, -142.917787, -188.58559, -242.742103, -306.858125, -386.972481, -487.073045, -611.147691, -758.428343, -938.739724, -1167.09486, -1446.10779, -1799.01644, -2226.42886, -2746.48152, -3407.01188, -4242.22416, -5247.57586, -6447.22578, -8007.40392, -10013.9768, -12098.9858, -14871.9418, -18575.8044, -23453.5336, -29748.089, -44747.6137, -59888.5885, -73652.6772, -84521.5436, -90976.8519, -85227.9824, -76210.4048, -65093.9046, -56302.8207, -49718.6777, -43866.9364, -38696.9244, -34157.9696, -30199.3998, -26770.5429, -23844.8155, -21317.8945, -19156.6252, -17327.8531, -15798.4236, -14535.182, -13504.9737, -12795.2437, -12393.8753},
1094  {-132.327653, -130.776012, -129.223098, -127.66943, -126.115527, -124.561907, -123.009091, -121.457595, -119.907939, -118.360642, -116.816223, -115.2752, -113.738091, -112.205417, -110.677695, -109.155444, -107.639184, -106.129432, -104.626708, -103.13153, -101.644418, -100.165889, -98.6964627, -97.236658, -95.7869934, -94.3479877, -92.9201597, -91.5040282, -90.1001118, -88.7089295, -87.3309998, -85.9668417, -84.6169738, -83.2819149, -82.0186135, -80.7981865, -79.5910728, -78.3959597, -77.211535, -76.0364859, -74.8695002, -73.7092652, -72.5544684, -71.4037975, -70.2559399, -69.1095831, -67.9634146, -66.8161219, -65.6663926, -64.5129141, -63.354374, -62.1069054, -60.8535397, -59.5947542, -58.331026, -57.0628321, -55.7906498, -54.5149561, -53.2362282, -51.9549432, -50.6715782, -49.3866103, -48.1005168, -46.8137746, -45.526861, -44.2402531, -42.9544279, -41.6802213, -40.4282203, -39.1775382, -37.9279805, -36.6793529, -35.431461, -34.1841104, -32.9371068, -31.6902557, -30.4433627, -29.1962336, -27.9486739, -26.7004893, -25.4514853, -24.2014676, -22.9502418, -21.6976135, -20.4219983, -19.1343466, -17.8458663, -16.557057, -15.2684186, -13.9804508, -12.6936533, -11.4085261, -10.1255687, -8.8452811, -7.56816293, -6.29471401, -5.02543409, -3.76082297, -2.50138039, -1.24760615, 0, 1.08353659, 2.18456832, 3.30166086, 4.43337989, 5.57829107, 6.73496009, 7.90195259, 9.07783427, 10.2611708, 11.4505278, 12.644471, 13.8415661, 15.0403787, 16.2394745, 17.4374191, 18.6327783, 19.736342, 20.7341366, 21.8232678, 22.9834924, 24.1945669, 25.4362478, 26.6882919, 27.9304557, 29.1424958, 30.3041688, 31.3952312, 32.3954398, 33.2845511, 34.1037688, 34.7488718, 35.1811825, 35.3620233, 35.4451516, 35.2956724, 34.7273747, 33.6438503, 31.9486913, 29.5454894, 26.3378368, 24.0999861, 20.295537, 14.4620823, 6.13721531, -5.14147108, -18.8654674, -36.710826, -59.3826829, -87.5861743, -122.026436, -161.110427, -210.650344, -270.384312, -342.271904, -432.808151, -546.451755, -687.66142, -855.600089, -1061.2258, -1321.2738, -1639.07048, -2039.6578, -2517.35172, -3092.44984, -3829.27422, -4771.93897, -5925.70042, -7324.59843, -9145.15144, -11483.2839, -13630.5029, -16610.9068, -20798.8725, -26568.7766, -34294.9959, -54140.3646, -74243.6876, -92532.227, -106933.245, -115374.005, -107124.117, -94540.2622, -79260.1249, -67695.8532, -59595.2393, -52716.7152, -46907.541, -42014.9769, -37886.2829, -34368.7191, -30803.4402, -27689.4739, -24981.4709, -22634.0819, -20601.9575, -18839.7482, -17302.1048, -16109.9855, -15320.8816},
1095  {-127.695887, -126.877418, -125.99736, -125.058231, -124.062548, -123.012828, -121.911588, -120.761346, -119.564618, -118.323923, -117.041778, -115.720699, -114.363204, -112.97181, -111.549035, -110.097396, -108.61941, -107.117595, -105.594467, -104.052544, -102.494344, -100.922383, -99.3391784, -97.7472483, -96.1491096, -94.5472796, -92.9442755, -91.3426147, -89.7448143, -88.1533917, -86.5708642, -84.9997491, -83.4425635, -81.9018249, -80.499995, -79.177096, -77.8717083, -76.5824568, -75.3079664, -74.0468619, -72.7977681, -71.5593099, -70.3301122, -69.1087998, -67.8939975, -66.6843302, -65.4784228, -64.2749001, -63.0723869, -61.869508, -60.6648885, -59.3457083, -58.024453, -56.7021633, -55.37988, -54.0586437, -52.7394952, -51.4234754, -50.1116248, -48.8049844, -47.5045948, -46.2114968, -44.9267311, -43.6513385, -42.3863597, -41.1328356, -39.8918068, -38.7061723, -37.6178262, -36.5414797, -35.4754601, -34.4180945, -33.3677103, -32.3226346, -31.2811948, -30.241718, -29.2025316, -28.1619627, -27.1183387, -26.0699867, -25.015234, -23.9524079, -22.8798357, -21.7958444, -20.6074583, -19.3605765, -18.1021957, -16.8336063, -15.5560984, -14.2709622, -12.979488, -11.6829659, -10.3826862, -9.07993908, -7.77601478, -6.47220351, -5.16979547, -3.87008088, -2.57434997, -1.28389293, 0, 1.49727428, 2.92525102, 4.28916709, 5.59425935, 6.84576465, 8.04891988, 9.20896188, 10.3311275, 11.4206536, 12.4827771, 13.5227349, 14.5457637, 15.5571004, 16.561982, 17.5656453, 18.573327, 19.3310642, 19.807065, 20.5928522, 21.6381196, 22.8925613, 24.3058712, 25.8277435, 27.4078721, 28.9959509, 30.5416741, 31.9947356, 33.3048293, 34.4216493, 35.1380006, 35.6179922, 35.8583847, 35.8559391, 36.1883196, 36.5618353, 36.5278872, 35.9089649, 34.527558, 32.2061561, 28.7672488, 25.1109522, 19.654156, 12.0085099, 1.78566357, -11.4027334, -25.5921236, -44.1119921, -67.9389162, -98.0494733, -135.420241, -178.954151, -234.235881, -299.749274, -377.422766, -476.217488, -601.937037, -760.385008, -954.004746, -1192.72379, -1490.1354, -1845.31024, -2290.00047, -2814.49266, -3442.96457, -4257.02074, -5311.90586, -6615.90131, -8212.07611, -10315.6982, -13044.6301, -15150.2881, -18327.2033, -23166.2389, -30258.2579, -40194.1234, -67778.7437, -95835.4252, -121401.52, -141514.38, -153211.356, -141088.913, -122919.216, -101071.424, -85001.7762, -74274.1308, -65499.3991, -58389.0877, -52654.7036, -48007.7537, -44159.7448, -39777.2058, -35896.9559, -32472.6566, -29457.9695, -26806.5559, -24472.0775, -22408.1957, -20472.7869, -19041.2338},
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1185  {-40.407689, -45.6133109, -50.3699414, -54.690749, -58.5889019, -62.0775685, -65.1699171, -67.879116, -70.2183337, -72.2007384, -73.8394985, -75.1477823, -76.1387582, -76.8255945, -77.2214595, -77.3395216, -77.1929491, -76.7949103, -76.1585737, -75.2971074, -74.22368, -72.9514597, -71.4936148, -69.8633137, -68.0737247, -66.1380162, -64.0693565, -61.8809139, -59.5858568, -57.1973536, -54.7285725, -52.1926819, -49.6028502, -46.9722456, -44.5992744, -42.3484863, -40.0810029, -37.8007361, -35.5115975, -33.2174991, -30.9223526, -28.6300699, -26.3445628, -24.0697432, -21.8095228, -19.5678134, -17.348527, -15.1555753, -12.9928701, -10.8643233, -8.77384667, -6.84941854, -4.96819472, -3.13139751, -1.34024924, 0.404027813, 2.10021133, 3.747079, 5.34340853, 6.88797762, 8.37956395, 9.81694522, 11.1988991, 12.5242034, 13.7916356, 14.9999736, 16.147995, 17.2696805, 18.3981654, 19.459624, 20.450552, 21.3674451, 22.2067988, 22.9651088, 23.6388707, 24.2245802, 24.7187328, 25.1178243, 25.4183502, 25.6168062, 25.709688, 25.6934911, 25.5647112, 25.3198439, 24.0233633, 22.1573797, 20.2152054, 18.2235819, 16.2092509, 14.1989538, 12.2194321, 10.2974273, 8.45968112, 6.73293491, 5.14393024, 3.71940863, 2.48611162, 1.47078073, 0.700157478, 0.200983393, 0, 4.89219611, 9.553754, 14.0060151, 18.2703209, 22.3680127, 26.3204321, 30.1489204, 33.874819, 37.5194695, 41.1042131, 44.6503915, 48.1793459, 51.7124178, 55.2709487, 58.8762799, 62.549753, 66.0207475, 69.2688962, 72.97593, 77.1006272, 81.601766, 86.4381246, 91.5684811, 96.9516138, 102.546301, 108.311321, 114.205451, 120.18747, 126.216157, 132.080175, 137.970791, 143.897819, 149.871071, 156.257763, 162.889006, 169.500602, 175.995143, 182.275221, 188.243426, 193.80235, 198.201581, 202.195454, 205.814321, 209.088534, 212.048447, 214.878398, 217.416257, 219.653879, 221.583121, 223.195837, 225.817968, 226.47674, 224.945429, 220.401036, 210.803174, 194.658037, 170.47182, 136.043961, 90.7480396, 34.7286443, -31.110271, -110.977396, -206.214372, -319.515893, -455.869325, -619.20966, -807.382453, -1022.74395, -1289.97835, -1621.13988, -2005.72024, -2481.80739, -3069.26567, -3787.95943, -4657.75303, -6336.96182, -8047.38641, -9649.27839, -11002.8894, -11968.4709, -11875.3457, -11468.6469, -10836.1673, -10300.4103, -9856.26226, -9400.81302, -8933.83858, -8455.11494, -7964.41809, -7461.52402, -7653.1292, -7305.15498, -6590.85125, -5683.46794, -4756.25494, -3982.46216, -3535.33951, -3113.88376, -2409.81894},
1186  {-33.1017163, -38.4527941, -43.3735768, -47.8762346, -51.9729377, -55.6758561, -58.9971601, -61.9490197, -64.543605, -66.7930862, -68.7096334, -70.3054168, -71.5926064, -72.5833725, -73.289885, -73.7243142, -73.8988303, -73.8256032, -73.5168031, -72.9846003, -72.2411647, -71.2986665, -70.1692759, -68.865163, -67.3984979, -65.7814508, -64.0261917, -62.1448908, -60.1497183, -58.0528442, -55.8664386, -53.6026718, -51.2737139, -48.8917349, -46.714893, -44.6271903, -42.5096723, -40.3665264, -38.2019399, -36.0201002, -33.8251945, -31.6214103, -29.4129348, -27.2039555, -24.9986597, -22.8012346, -20.6158677, -18.4467463, -16.2980578, -14.1739894, -12.0787286, -10.1247734, -8.20565253, -6.32320526, -4.479271, -2.67568913, -0.914299029, 0.803059923, 2.47454835, 4.09832687, 5.6725561, 7.19539667, 8.6650092, 10.0795543, 11.4371926, 12.7360848, 13.9743913, 15.1732479, 16.3532385, 17.4651396, 18.5056224, 19.4713582, 20.3590182, 21.1652736, 21.8867958, 22.520256, 23.0623253, 23.5096752, 23.8589767, 24.1069012, 24.2501199, 24.2853041, 24.2091249, 24.0182538, 22.8652951, 21.1867074, 19.429094, 17.6165178, 15.7730416, 13.9227283, 12.0896406, 10.2978414, 8.57139364, 6.93436003, 5.41080343, 4.02478669, 2.80037263, 1.7616241, 0.932603929, 0.337374951, 0, 4.39147165, 8.51614545, 12.3991242, 16.0655108, 19.540408, 22.8489186, 26.0161455, 29.0671915, 32.0271594, 34.921152, 37.7742722, 40.6116228, 43.4583066, 46.3394265, 49.2800852, 52.3053856, 55.2926119, 58.2457501, 61.5242545, 65.1215524, 69.0310713, 73.2462386, 77.7604818, 82.5672282, 87.6599053, 93.0319405, 98.6767612, 104.587795, 110.758469, 117.248196, 123.960224, 130.868184, 137.945708, 145.054278, 152.2236, 159.513289, 166.930622, 174.482876, 182.177328, 190.021256, 198.218155, 206.519365, 214.893774, 223.310267, 231.737732, 240.080614, 248.388352, 256.645943, 264.838383, 272.950671, 281.424559, 289.23003, 296.77588, 303.823523, 308.812644, 310.776356, 308.747772, 301.482743, 288.354661, 269.039394, 243.600819, 209.813896, 167.564889, 115.231321, 48.634245, -35.2318241, -135.72906, -254.918385, -408.219532, -603.495735, -840.385434, -1136.24201, -1501.77574, -1947.6969, -2484.71578, -3503.11458, -4539.13866, -5508.60532, -6327.33186, -6911.13556, -6858.4512, -6614.06695, -6229.8212, -5892.91173, -5601.59717, -5297.73636, -4982.40793, -4656.69045, -4321.66255, -3978.40283, -3622.87972, -3262.87695, -2900.43325, -2537.58733, -2176.37791, -1818.84371, -1467.02346, -1135.30892, -749.490878},
1187  {-31.0761186, -38.1179052, -44.6242007, -50.6097214, -56.0891837, -61.077304, -65.5887987, -69.6383842, -73.2407768, -76.410693, -79.1628492, -81.5119617, -83.4727469, -85.0599212, -86.288201, -87.1723027, -87.7269426, -87.9668373, -87.9067029, -87.561256, -86.945213, -86.0732901, -84.9602038, -83.6206706, -82.0694067, -80.3211285, -78.3905525, -76.2923951, -74.0413725, -71.6522013, -69.1395978, -66.5182784, -63.8029595, -61.0083574, -58.3968477, -55.8541082, -53.2628396, -50.6297214, -47.9614329, -45.2646536, -42.5460627, -39.8123397, -37.0701639, -34.3262147, -31.5871715, -28.8597136, -26.1505204, -23.4662713, -20.8136456, -18.1993228, -15.6299822, -13.3137356, -11.0514632, -8.8454779, -6.69809224, -4.61161898, -2.58837082, -0.63066048, 1.25919934, 3.07889593, 4.82611657, 6.49854857, 8.09387921, 9.60979578, 11.0439856, 12.3941359, 13.657934, 14.7955315, 15.7679811, 16.6503848, 17.4428631, 18.1455367, 18.758526, 19.2819517, 19.7159345, 20.0605947, 20.3160531, 20.4824302, 20.5598465, 20.5484228, 20.4482794, 20.2595371, 19.9823165, 19.616738, 18.6719332, 17.4038446, 16.0743159, 14.699401, 13.2951543, 11.8776297, 10.4628814, 9.06696347, 7.70593009, 6.39583536, 5.15273338, 3.99267828, 2.93172417, 1.98592517, 1.1713354, 0.504008968, 0, -0.0150103308, 0.21624665, 0.691340598, 1.40784117, 2.36331802, 3.55534081, 4.9814792, 6.63930283, 8.52638137, 10.6402845, 12.9785818, 15.538843, 18.3186377, 21.3155356, 24.5271064, 27.9509197, 31.7566329, 35.9663999, 40.1885438, 44.4575102, 48.807745, 53.2736935, 57.8898015, 62.6905146, 67.7102784, 72.9835386, 78.5447407, 84.4283305, 90.6687534, 97.461289, 104.620577, 112.132812, 119.98419, 128.039962, 136.346794, 144.983609, 153.972884, 163.337099, 173.098734, 183.280267, 193.840133, 204.884348, 216.447921, 228.56586, 241.273177, 254.560268, 268.517907, 283.192257, 298.629478, 314.875734, 332.015348, 350.009678, 369.047555, 389.168378, 410.106463, 431.733102, 453.919588, 476.572403, 499.51965, 522.551043, 545.68622, 568.357932, 589.93074, 610.047309, 628.821532, 646.151003, 663.224439, 680.274169, 692.798394, 698.973207, 700.073659, 690.700119, 667.955964, 628.944568, 570.769307, 412.974295, 249.611984, 97.1755669, -27.8417664, -108.946824, -67.4453983, 9.48734037, 111.687004, 202.872772, 283.218011, 363.777936, 444.18182, 524.058938, 603.038564, 680.749974, 705.417047, 765.687549, 849.280353, 943.914335, 1037.30837, 1117.18134, 1171.25211, 1201.32955, 1280.02151}
1188  };
1189 
1190  /* YPtag: chiAmax tables above */
1191 
1192  /* Stuff for interpolating the NQC data */
1193  gsl_spline *spline = NULL;
1194  gsl_interp_accel *acc = NULL;
1195  /* Interpolate the spin NQC data in 2-D parameter space -- spin and mass ratio */
1196  /* First, interpolate in spin dimension for all mass ratios */
1197  spline = gsl_spline_alloc( gsl_interp_cspline, adim );
1198  acc = gsl_interp_accel_alloc();
1199  for (i = 0; i < qdim; i++)
1200  {
1201  gsl_spline_init( spline, alist, a3stab[i], adim );
1202  gsl_interp_accel_reset( acc );
1203  a3slist[i] = gsl_spline_eval( spline, chiA, acc );
1204  gsl_spline_init( spline, alist, a4tab[i], adim );
1205  gsl_interp_accel_reset( acc );
1206  a4list[i] = gsl_spline_eval( spline, chiA, acc );
1207  gsl_spline_init( spline, alist, a5tab[i], adim );
1208  gsl_interp_accel_reset( acc );
1209  a5list[i] = gsl_spline_eval( spline, chiA, acc );
1210  gsl_spline_init( spline, alist, b3tab[i], adim );
1211  gsl_interp_accel_reset( acc );
1212  b3list[i] = gsl_spline_eval( spline, chiA, acc );
1213  gsl_spline_init( spline, alist, b4tab[i], adim );
1214  gsl_interp_accel_reset( acc );
1215  b4list[i] = gsl_spline_eval( spline, chiA, acc );
1216  // printf("%.15f\n",a3slist[i]);
1217  }
1218  //printf("%.15f\n",a);
1219  gsl_spline_free(spline);
1220  gsl_interp_accel_free(acc);
1221  /* Second, interpolate in mass ratio dimension */
1222  spline = gsl_spline_alloc( gsl_interp_cspline, qdim );
1223  acc = gsl_interp_accel_alloc();
1224  gsl_spline_init( spline, etalist, a3slist, qdim );
1225  gsl_interp_accel_reset( acc );
1226  coeffs->a3S = gsl_spline_eval( spline, eta, acc );
1227  gsl_spline_init( spline, etalist, a4list, qdim );
1228  gsl_interp_accel_reset( acc );
1229  coeffs->a4 = gsl_spline_eval( spline, eta, acc );
1230  gsl_spline_init( spline, etalist, a5list, qdim );
1231  gsl_interp_accel_reset( acc );
1232  coeffs->a5 = gsl_spline_eval( spline, eta, acc );
1233  gsl_spline_init( spline, etalist, b3list, qdim );
1234  gsl_interp_accel_reset( acc );
1235  coeffs->b3 = gsl_spline_eval( spline, eta, acc );
1236  gsl_spline_init( spline, etalist, b4list, qdim );
1237  gsl_interp_accel_reset( acc );
1238  coeffs->b4 = gsl_spline_eval( spline, eta, acc );
1239  gsl_spline_free(spline);
1240  gsl_interp_accel_free(acc);
1241 
1242  return XLAL_SUCCESS;
1243 
1244 }
1245 
1246 
1247 
1248 UNUSED static int XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmed( EOBNonQCCoeffs * restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a )
1249 {
1250  const unsigned int qdim = 98;
1251  const unsigned int adim = 200;
1252  UINT4 i;
1253  /* REAL8 eta2 = eta*eta;*/
1254  REAL8 a3slist[qdim], a4list[qdim], a5list[qdim];
1255  REAL8 b3list[qdim], b4list[qdim];
1256  REAL8 chiA;
1257 
1258  chiA = a/(1.0-2.0*eta);
1259  if (chiA < -1.){
1260  chiA = -1.;
1261  }
1262  if (chiA > 0.99){
1263  chiA = 0.99;
1264  }
1265 
1266  memset( coeffs, 0, sizeof( *coeffs ) );
1267  const double alist[200] = {-1., -0.99, -0.98, -0.97, -0.96, -0.95, -0.94, -0.93, -0.92, -0.91, -0.9, -0.89, -0.88, -0.87, -0.86, -0.85, -0.84, -0.83, -0.82, -0.81, -0.8, -0.79, -0.78, -0.77, -0.76, -0.75, -0.74, -0.73, -0.72, -0.71, -0.7, -0.69, -0.68, -0.67, -0.66, -0.65, -0.64, -0.63, -0.62, -0.61, -0.6, -0.59, -0.58, -0.57, -0.56, -0.55, -0.54, -0.53, -0.52, -0.51, -0.5, -0.49, -0.48, -0.47, -0.46, -0.45, -0.44, -0.43, -0.42, -0.41, -0.4, -0.39, -0.38, -0.37, -0.36, -0.35, -0.34, -0.33, -0.32, -0.31, -0.3, -0.29, -0.28, -0.27, -0.26, -0.25, -0.24, -0.23, -0.22, -0.21, -0.2, -0.19, -0.18, -0.17, -0.16, -0.15, -0.14, -0.13, -0.12, -0.11, -0.1, -0.09, -0.08, -0.07, -0.06, -0.05, -0.04, -0.03, -0.02, -0.01, 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99};
1268  const double etalist[98] = {0.0075, 0.01, 0.0125, 0.015, 0.0175, 0.02, 0.0225, 0.025, 0.0275, 0.03, 0.0325, 0.035, 0.0375, 0.04, 0.0425, 0.045, 0.0475, 0.05, 0.0525, 0.055, 0.0575, 0.06, 0.0625, 0.065, 0.0675, 0.07, 0.0725, 0.075, 0.0775, 0.08, 0.0825, 0.085, 0.0875, 0.09, 0.0925, 0.095, 0.0975, 0.1, 0.1025, 0.105, 0.1075, 0.11, 0.1125, 0.115, 0.1175, 0.12, 0.1225, 0.125, 0.1275, 0.13, 0.1325, 0.135, 0.1375, 0.14, 0.1425, 0.145, 0.1475, 0.15, 0.1525, 0.155, 0.1575, 0.16, 0.1625, 0.165, 0.1675, 0.17, 0.1725, 0.175, 0.1775, 0.18, 0.1825, 0.185, 0.1875, 0.19, 0.1925, 0.195, 0.1975, 0.2, 0.2025, 0.205, 0.2075, 0.21, 0.2125, 0.215, 0.2175, 0.22, 0.2225, 0.225, 0.2275, 0.23, 0.2325, 0.235, 0.2375, 0.24, 0.2425, 0.245, 0.2475, 0.25};
1269 
1270  /* YPtag: chiAmed tables below */
1271  const double a3stab[98][200] = {{486.38171, 480.717682, 475.141347, 469.649366, 464.238399, 458.905105, 453.646145, 448.458178, 443.337865, 438.281866, 433.28684, 428.349447, 423.466348, 418.634203, 413.849671, 409.109412, 404.410087, 399.748355, 395.120876, 390.524311, 385.955318, 381.41056, 376.886694, 372.380381, 367.888282, 363.407056, 358.933363, 354.463863, 349.995216, 345.524082, 341.047121, 336.560993, 332.062358, 327.547876, 322.85644, 318.066911, 313.260049, 308.437632, 303.601441, 298.753255, 293.894855, 289.028019, 284.154529, 279.276163, 274.394701, 269.511924, 264.62961, 259.749541, 254.873496, 250.003254, 245.140595, 240.419085, 235.705861, 230.999847, 226.299964, 221.605137, 216.914287, 212.226339, 207.540214, 202.854836, 198.169129, 193.482014, 188.792414, 184.099254, 179.401455, 174.697941, 169.987635, 165.263148, 160.517242, 155.761859, 150.99633, 146.219987, 141.432162, 136.632189, 131.819397, 126.993121, 122.152692, 117.297442, 112.426703, 107.539807, 102.636087, 97.7148744, 92.7755015, 87.8173004, 82.8521522, 77.8728507, 72.8720386, 67.8486408, 62.8015824, 57.729788, 52.6321827, 47.5076912, 42.3552386, 37.1737496, 31.9621492, 26.7193622, 21.4443135, 16.1359281, 10.7931308, 5.41484646, 0, -5.64616978, -11.2279518, -16.7624524, -22.2667776, -27.7580337, -33.2533268, -38.7697632, -44.3244491, -49.9344907, -55.6169941, -61.3890656, -67.2678114, -73.2703376, -79.4137505, -85.7151562, -92.191661, -98.9128639, -105.90337, -113.061552, -120.415764, -127.994361, -135.825698, -143.938129, -152.360009, -161.119693, -170.245535, -179.76589, -189.709113, -200.103558, -210.89047, -222.217254, -234.138398, -246.708389, -259.960116, -273.958866, -288.775686, -304.471543, -321.107404, -338.744237, -357.443009, -376.766052, -397.424726, -419.57756, -443.383078, -468.999807, -496.859488, -526.77913, -558.848955, -593.159185, -629.800044, -668.247114, -709.956484, -754.975967, -803.755303, -857.564837, -917.306481, -983.882145, -1060.76288, -1145.69757, -1233.63236, -1317.2123, -1406.22411, -1508.76945, -1628.83824, -1763.45321, -1912.83514, -2074.3334, -2247.42431, -2442.11276, -2662.44809, -2921.64657, -3213.18031, -3537.92547, -3896.75821, -4290.5547, -4834.23223, -5386.11555, -5918.57057, -6403.96316, -6814.65921, -7071.96019, -7233.33935, -7293.04733, -7170.75575, -6890.2361, -6506.33449, -6041.26869, -5517.25647, -4956.51559, -4381.26384, -3834.66505, -3332.94793, -2872.90023, -2451.30966, -2064.96394, -1710.6508, -1385.15797, -1098.49334, -816.747593},
1272  {459.284623, 453.711419, 448.235842, 442.854574, 437.564295, 432.361686, 427.243427, 422.206201, 417.246687, 412.361566, 407.547519, 402.801227, 398.119371, 393.498632, 388.93569, 384.427226, 379.969922, 375.560457, 371.195513, 366.871771, 362.585912, 358.334616, 354.114563, 349.922436, 345.754915, 341.60868, 337.480413, 333.366794, 329.264504, 325.170224, 321.080635, 316.992418, 312.902253, 308.806821, 304.603643, 300.341064, 296.068624, 291.786222, 287.493757, 283.191128, 278.878233, 274.55497, 270.22124, 265.876941, 261.521971, 257.15623, 252.779616, 248.392028, 243.993364, 239.583524, 235.162407, 230.710069, 226.246681, 221.772572, 217.288071, 212.793507, 208.289209, 203.775506, 199.252727, 194.721201, 190.181257, 185.633223, 181.077429, 176.514204, 171.943876, 167.366775, 162.78323, 158.211751, 153.670414, 149.122047, 144.565802, 140.000828, 135.426275, 130.841295, 126.245036, 121.63665, 117.015286, 112.380095, 107.730227, 103.064833, 98.3830616, 93.6840646, 88.9669917, 84.2309932, 79.4749897, 74.6982512, 69.9000502, 65.0795446, 60.2358919, 55.36825, 50.4757764, 45.557629, 40.6129654, 35.6409434, 30.6407206, 25.6114548, 20.5523037, 15.4624249, 10.3409762, 5.18711536, 0, -5.47359405, -10.8681705, -16.2012908, -21.4905163, -26.7534083, -32.0075281, -37.2704372, -42.5596968, -47.8928684, -53.2875133, -58.7611929, -64.3314685, -70.0159015, -75.8320532, -81.797485, -87.9297582, -94.2706696, -100.841243, -107.604221, -114.582359, -121.798411, -129.275132, -137.035276, -145.101599, -153.496855, -162.243798, -171.365184, -180.883766, -190.8223, -201.086164, -211.858526, -223.197355, -235.160618, -247.905318, -261.439906, -275.74642, -290.85312, -306.788261, -323.5801, -341.256894, -359.047543, -378.022943, -398.36775, -420.266614, -443.904191, -470.222546, -498.459567, -528.610552, -560.670801, -594.635616, -629.785979, -667.70456, -708.882005, -753.791953, -802.873312, -856.580584, -915.368269, -980.994537, -1052.31393, -1126.75882, -1200.65169, -1278.83162, -1365.42075, -1462.36714, -1567.93506, -1682.07971, -1802.91262, -1929.911, -2069.31212, -2223.52937, -2413.17972, -2619.67245, -2839.1197, -3067.63365, -3301.32644, -3503.07364, -3710.53316, -3928.12628, -4160.27432, -4411.39858, -4759.79629, -5086.7622, -5365.05649, -5442.6309, -5341.64897, -5136.27772, -4846.08051, -4490.62069, -4089.4616, -3662.16659, -3209.37647, -2806.28425, -2445.20744, -2118.46353, -1818.37003, -1537.24444, -1267.40428, -1044.83788, -847.172309},
1273  {434.112712, 429.565752, 425.02971, 420.504828, 415.991345, 411.489504, 406.999544, 402.521707, 398.056233, 393.603364, 389.163339, 384.7364, 380.322788, 375.922743, 371.536507, 367.164319, 362.806421, 358.463054, 354.134458, 349.820874, 345.522544, 341.239707, 336.972605, 332.721478, 328.486568, 324.268115, 320.06636, 315.881543, 311.713906, 307.563689, 303.431133, 299.316479, 295.219968, 291.141841, 287.169183, 283.256987, 279.3592, 275.473244, 271.596542, 267.726516, 263.860589, 259.996183, 256.13072, 252.261624, 248.386317, 244.502221, 240.606758, 236.697352, 232.771424, 228.826398, 224.859695, 220.721497, 216.55966, 212.374798, 208.167525, 203.938456, 199.688204, 195.417386, 191.126614, 186.816504, 182.487669, 178.140725, 173.776285, 169.394964, 164.997376, 160.584136, 156.155858, 151.716601, 147.27034, 142.810587, 138.337733, 133.852168, 129.354284, 124.844473, 120.323124, 115.790631, 111.247382, 106.69377, 102.130186, 97.5570209, 92.9746658, 88.3835117, 83.7839499, 79.1763715, 74.6303081, 70.1101264, 65.5793619, 61.036162, 56.478674, 51.9050454, 47.3134235, 42.7019558, 38.0687895, 33.4120722, 28.7299511, 24.0205737, 19.2820873, 14.5126394, 9.71037728, 4.87344835, 0, -5.23209552, -10.3891728, -15.4882938, -20.5465204, -25.5809146, -30.6085383, -35.6464535, -40.7117221, -45.8214061, -50.9925673, -56.2422678, -61.5875694, -67.0455342, -72.633224, -78.3677008, -84.2660265, -90.3626907, -96.6772449, -103.187332, -109.913747, -116.877288, -124.098751, -131.598932, -139.398627, -147.518633, -155.979747, -164.802765, -174.008483, -183.617697, -193.559212, -203.979548, -214.927097, -226.450255, -238.703174, -251.681369, -265.352153, -279.732193, -294.838156, -310.686708, -327.294517, -343.868308, -361.481192, -380.308304, -400.524777, -422.305744, -445.581921, -470.833964, -498.298111, -528.2106, -560.80767, -596.936692, -635.47583, -675.819585, -717.748516, -761.831382, -808.283052, -857.318401, -908.25966, -962.417214, -1022.07524, -1090.89822, -1164.76947, -1239.90306, -1314.85313, -1392.13893, -1472.45969, -1557.24048, -1647.36871, -1741.07022, -1838.0764, -1946.45413, -2056.3169, -2164.51068, -2267.88149, -2363.27532, -2361.29241, -2366.58597, -2397.56344, -2472.63226, -2610.19988, -2949.45463, -3307.50246, -3650.98759, -3820.24927, -3831.9274, -3755.28898, -3604.34254, -3393.09667, -3135.55991, -2845.74082, -2487.30045, -2173.32562, -1894.26791, -1640.57888, -1402.7101, -1171.11314, -936.239567, -732.773861, -559.416359},
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1369  };
1370 
1371  const double a4tab[98][200] = {{-1766.7572, -1743.88214, -1721.39625, -1699.28611, -1677.5383, -1656.13939, -1635.07595, -1614.33455, -1593.90178, -1573.76419, -1553.90837, -1534.32088, -1514.98831, -1495.89722, -1477.03418, -1458.38578, -1439.93858, -1421.67915, -1403.59408, -1385.66992, -1367.89327, -1350.25068, -1332.72874, -1315.31401, -1297.99306, -1280.75248, -1263.57884, -1246.4587, -1229.37865, -1212.32525, -1195.28507, -1178.2447, -1161.1907, -1144.10965, -1126.34727, -1108.22403, -1090.06812, -1071.88691, -1053.68777, -1035.47807, -1017.26517, -999.056457, -980.859287, -962.681036, -944.529073, -926.410769, -908.333493, -890.304614, -872.331505, -854.421533, -836.58207, -819.33603, -802.164063, -785.062362, -768.027122, -751.054536, -734.140798, -717.282103, -700.474645, -683.714617, -666.998214, -650.32163, -633.681058, -617.072693, -600.492729, -583.937359, -567.402778, -550.853265, -534.253866, -517.666596, -501.089718, -484.521496, -467.960192, -451.404069, -434.85139, -418.300418, -401.749416, -385.196648, -368.640374, -352.07886, -335.510368, -318.93316, -302.345499, -285.74565, -269.164874, -252.584242, -235.984424, -219.362613, -202.716, -186.041777, -169.337137, -152.599271, -135.825372, -119.01263, -102.158239, -85.2593904, -68.3132759, -51.3170876, -34.2680175, -17.1632577, 0, 17.7523869, 35.2525046, 52.5540932, 69.7108928, 86.7766435, 103.805085, 120.849959, 137.965003, 155.20396, 172.620568, 190.268567, 208.201699, 226.473703, 245.138319, 264.249287, 283.860347, 304.170146, 325.253125, 346.835259, 369.001341, 391.836162, 415.424512, 439.851185, 465.20097, 491.55866, 519.009045, 547.636918, 577.52707, 608.764291, 641.151332, 675.158442, 710.955023, 748.71048, 788.557488, 830.683816, 875.287025, 922.547539, 972.64578, 1025.76217, 1082.07713, 1140.18709, 1202.33855, 1269.02185, 1340.72733, 1417.94532, 1502.17427, 1592.64437, 1689.59395, 1793.2613, 1903.88475, 2019.71468, 2145.40699, 2281.1348, 2428.30718, 2590.85671, 2771.58293, 2973.28543, 3207.08409, 3465.56718, 3732.24629, 3983.27192, 4250.02202, 4558.81443, 4922.31725, 5330.06992, 5782.22832, 6269.95128, 6791.0621, 7376.37331, 8038.03687, 8817.96206, 9693.96547, 10667.8984, 11741.6123, 12916.9584, 14558.7763, 16215.182, 17797.28, 19216.1743, 20382.9695, 21022.3307, 21356.0938, 21375.2656, 20861.2923, 19888.1316, 18617.0581, 17117.6637, 15459.5402, 13712.2795, 11945.4736, 10324.3132, 8855.63002, 7528.37765, 6331.50979, 5253.98009, 4284.74222, 3412.74983, 2660.64522, 1938.41116},
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1469  };
1470 
1471  const double a5tab[98][200] = {{1623.72041, 1600.48232, 1577.67306, 1555.27899, 1533.28645, 1511.68181, 1490.45141, 1469.58163, 1449.05881, 1428.86932, 1408.9995, 1389.43571, 1370.16432, 1351.17167, 1332.44412, 1313.96804, 1295.72977, 1277.71568, 1259.91211, 1242.30543, 1224.88199, 1207.62815, 1190.53026, 1173.57469, 1156.74778, 1140.0359, 1123.4254, 1106.90264, 1090.45397, 1074.06575, 1057.72433, 1041.41608, 1025.12735, 1008.84449, 991.903965, 974.630743, 957.357616, 940.092033, 922.841441, 905.613286, 888.415016, 871.254077, 854.137918, 837.073984, 820.069724, 803.132584, 786.270012, 769.489454, 752.798358, 736.20417, 719.714338, 703.843765, 688.081441, 672.423814, 656.867328, 641.408431, 626.04357, 610.769191, 595.58174, 580.477663, 565.453408, 550.505421, 535.630148, 520.824035, 506.08353, 491.405078, 476.785126, 462.183943, 447.562664, 432.992352, 418.471798, 403.999794, 389.575132, 375.196604, 360.863001, 346.573115, 332.325739, 318.119663, 303.95368, 289.82658, 275.737157, 261.684202, 247.666507, 233.682862, 219.755572, 205.871177, 192.015938, 178.187882, 164.385039, 150.605438, 136.847107, 123.108075, 109.386371, 95.6800232, 81.9870613, 68.3055139, 54.6334096, 40.9687772, 27.3096456, 13.6540436, 0, -14.0013435, -27.7618601, -41.3242107, -54.7310563, -68.0250576, -81.2488757, -94.4451714, -107.656606, -120.925839, -134.295533, -147.808348, -161.506945, -175.433985, -189.632129, -204.144037, -219.012371, -234.376733, -250.293631, -266.586456, -283.318642, -300.553623, -318.354833, -336.785705, -355.909674, -375.790174, -396.490637, -418.074499, -440.605193, -464.146153, -488.530438, -514.136327, -541.096367, -569.543103, -599.605116, -631.416936, -665.114148, -700.830488, -738.699692, -778.855496, -821.431636, -865.298883, -912.238317, -962.630777, -1016.8571, -1075.29812, -1139.24635, -1207.94303, -1281.5411, -1360.19347, -1444.05307, -1531.66097, -1626.75197, -1729.48464, -1840.96769, -1964.24974, -2101.50842, -2254.92137, -2433.40628, -2630.86891, -2833.8622, -3023.03961, -3223.59323, -3456.90788, -3733.06209, -4042.97641, -4386.36523, -4755.87335, -5149.38231, -5590.69535, -6088.95292, -6677.39197, -7337.34931, -8069.62429, -8875.01628, -9754.32463, -10996.7528, -12242.595, -13420.5496, -14459.315, -15287.5894, -15668.2024, -15806.3003, -15701.6683, -15209.5823, -14387.0289, -13351.2064, -12156.0908, -10855.658, -9503.88366, -8154.74375, -6958.37272, -5888.07957, -4934.26905, -4087.34594, -3337.715, -2675.78099, -2091.94866, -1598.05655, -1133.82715},
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1566  {482.446566, 482.127966, 481.373089, 480.195008, 478.606794, 476.621518, 474.252251, 471.512067, 468.414034, 464.971227, 461.196715, 457.103571, 452.704865, 448.01367, 443.043057, 437.806098, 432.315864, 426.585426, 420.627856, 414.456226, 408.083607, 401.523071, 394.787689, 387.890533, 380.844674, 373.663183, 366.359134, 358.945595, 351.435641, 343.842341, 336.178767, 328.457992, 320.693086, 312.897121, 305.385617, 298.01406, 290.6343, 283.249593, 275.863197, 268.478368, 261.098361, 253.726434, 246.365843, 239.019845, 231.691695, 224.384651, 217.10197, 209.846906, 202.622718, 195.432661, 188.279991, 180.917158, 173.603662, 166.348197, 159.159458, 152.046137, 145.016928, 138.080525, 131.245621, 124.520909, 117.915084, 111.436838, 105.094866, 98.8978604, 92.8545152, 86.9735238, 81.2635798, 75.9032103, 71.0668651, 66.4129684, 61.939204, 57.6432559, 53.522808, 49.5755442, 45.7991484, 42.1913045, 38.7496964, 35.4720081, 32.3559233, 29.3991261, 26.5993003, 23.9541299, 21.4612987, 19.1184906, 16.798588, 14.5643005, 12.4798379, 10.5469343, 8.76732348, 7.14273955, 5.67491642, 4.36558804, 3.21648837, 2.22935138, 1.40591103, 0.747901269, 0.257056066, -0.0648906227, -0.216204836, -0.195152615, 0, 0.181345035, 0.518531952, 1.02269072, 1.7049513, 2.57644367, 3.6482978, 4.93164365, 6.43761119, 8.17733039, 10.1619312, 12.4025436, 14.9102976, 17.6963232, 20.7717502, 24.1477087, 27.8353286, 32.7985986, 39.1847713, 44.8497011, 50.008702, 54.877088, 59.6701731, 64.6032711, 69.8916961, 75.750762, 82.3957829, 90.0420726, 98.9049451, 109.199714, 122.481941, 137.135269, 152.972938, 169.808187, 185.350369, 200.464669, 216.577305, 234.132684, 253.575213, 275.349297, 299.899342, 331.202692, 365.095573, 401.331166, 439.662649, 479.843202, 516.585266, 555.942944, 598.929598, 646.558594, 699.843295, 762.11556, 829.236542, 901.468506, 978.367435, 1058.04733, 1139.26961, 1220.7957, 1292.1386, 1363.41007, 1454.81103, 1592.09079, 1747.88849, 1897.13165, 2030.68631, 2166.42548, 2309.82554, 2471.1798, 2657.21347, 2856.98965, 3069.56211, 3299.48312, 3539.46207, 3786.64942, 4038.19563, 4291.25115, 4559.16286, 4818.83572, 5063.37108, 5285.87031, 5479.43477, 5605.94944, 5710.54298, 5799.69522, 5891.9805, 5989.09123, 6087.68039, 6189.69236, 6297.07149, 6411.76214, 6535.70869, 7313.83362, 7647.79866, 7675.36359, 7534.28824, 7362.33239, 7297.25586, 7476.81845, 7626.18174, 7746.78912},
1567  {487.525079, 487.500363, 487.054791, 486.200291, 484.94879, 483.312218, 481.302501, 478.931567, 476.211345, 473.153762, 469.770747, 466.074226, 462.076128, 457.788381, 453.222913, 448.391652, 443.306524, 437.97946, 432.422386, 426.647229, 420.665919, 414.490383, 408.132549, 401.604345, 394.917698, 388.084537, 381.116789, 374.026383, 366.825245, 359.525305, 352.13849, 344.676728, 337.151947, 329.576074, 322.194635, 314.897846, 307.573114, 300.224788, 292.857214, 285.47474, 278.081712, 270.682479, 263.281386, 255.882783, 248.491015, 241.110429, 233.745374, 226.400197, 219.079244, 211.786863, 204.527401, 197.175389, 189.867805, 182.611809, 175.414565, 168.283232, 161.224972, 154.246946, 147.356317, 140.560245, 133.865892, 127.280418, 120.810986, 114.464757, 108.248892, 102.170553, 96.2369004, 90.5607664, 85.2524451, 80.1011612, 75.1072262, 70.2709511, 65.5926473, 61.0726258, 56.711198, 52.5086751, 48.4653682, 44.5815886, 40.8576476, 37.2938563, 33.890526, 30.6479678, 27.566493, 24.6464129, 21.799997, 19.0734293, 16.5139517, 14.1247325, 11.9089402, 9.86974307, 8.01030942, 6.33380761, 4.84340598, 3.54227287, 2.43357662, 1.52048555, 0.806168023, 0.293792364, -0.0134730857, -0.112459986, 0, 0.800282488, 1.70739789, 2.73485252, 3.89615269, 5.20480472, 6.67431491, 8.31818959, 10.1499351, 12.1830576, 14.4310636, 16.9074594, 19.6257512, 22.5994453, 25.8420482, 29.367066, 33.1880051, 37.7757389, 43.2091119, 48.4671096, 53.6612456, 58.9030333, 64.3039864, 69.9756183, 76.0294427, 82.576973, 89.7297229, 97.5992059, 106.296935, 115.934425, 127.101808, 139.256485, 152.366383, 166.399428, 180.084983, 194.010257, 209.092747, 225.671951, 244.087366, 264.678489, 287.78482, 316.649326, 347.824369, 381.081377, 416.191776, 452.926994, 486.504859, 522.388797, 561.488635, 604.7142, 652.97532, 709.101684, 769.736757, 834.59374, 903.311805, 975.378977, 1050.35115, 1127.7842, 1203.40294, 1281.46504, 1370.40752, 1479.63037, 1600.73009, 1726.97149, 1855.97912, 1992.76494, 2138.94997, 2297.20691, 2469.42944, 2653.65506, 2850.10257, 3064.67034, 3291.02377, 3527.4156, 3772.09859, 4023.3255, 4310.88368, 4593.60765, 4861.8665, 5106.02935, 5316.46531, 5444.08148, 5545.01697, 5626.55316, 5710.25344, 5797.74591, 5884.70784, 5973.06487, 6064.74266, 6161.66684, 6265.76305, 6825.65394, 7078.21265, 7120.37182, 7049.06411, 6961.22216, 6953.77862, 7123.66614, 7195.89622, 7266.38062},
1568  {510.463075, 510.459455, 510.070294, 509.305389, 508.174535, 506.687527, 504.854162, 502.684235, 500.187541, 497.373877, 494.253038, 490.834819, 487.129016, 483.145425, 478.893841, 474.384061, 469.625879, 464.629092, 459.403494, 453.958882, 448.305052, 442.451798, 436.408917, 430.186204, 423.793455, 417.240465, 410.537031, 403.692947, 396.718009, 389.622013, 382.414756, 375.106031, 367.705635, 360.223364, 352.745376, 345.24168, 337.681365, 330.071749, 322.420149, 314.733883, 307.020267, 299.286621, 291.540261, 283.788504, 276.038669, 268.298072, 260.574032, 252.873865, 245.204889, 237.574422, 229.989781, 222.646818, 215.360229, 208.133245, 200.969095, 193.871011, 186.842223, 179.885961, 173.005456, 166.203938, 159.484638, 152.850786, 146.305612, 139.852348, 133.494222, 127.234467, 121.076312, 115.00705, 109.014355, 103.134329, 97.3712358, 91.7293395, 86.2129034, 80.8261912, 75.5734665, 70.4589931, 65.4870345, 60.6618545, 55.9877167, 51.4688847, 47.1096222, 42.9141928, 38.8868603, 35.0318883, 31.4854877, 28.1831733, 25.0588738, 22.1125709, 19.3442462, 16.7538816, 14.3414586, 12.1069591, 10.0503648, 8.17165723, 6.47081826, 4.94782956, 3.60267284, 2.43532982, 1.44578219, 0.634011685, 0, -1.65129453, -2.91031605, -3.78976358, -4.30233609, -4.4607326, -4.2776521, -3.76579359, -2.93785606, -1.80653852, -0.384539964, 1.31544061, 3.28070421, 5.49855183, 7.95628447, 10.6412031, 13.5406088, 17.713023, 23.2987783, 27.8621768, 31.6200669, 34.7892967, 37.5867147, 40.2291689, 42.9335076, 45.9165792, 49.3952317, 53.5863136, 58.706673, 64.9731582, 74.1689238, 84.3701993, 95.3239411, 106.777106, 116.594316, 125.463696, 134.575323, 144.240853, 154.771943, 166.480248, 179.677425, 196.37299, 214.664, 234.529919, 255.950214, 278.90435, 303.379492, 329.345483, 356.779866, 385.660182, 415.963973, 447.035296, 480.259438, 516.871042, 557.362727, 600.712142, 646.577127, 694.615521, 741.339724, 790.267887, 848.349549, 923.504863, 1008.47108, 1097.87914, 1189.56426, 1286.79101, 1390.33183, 1501.24605, 1620.3805, 1747.52984, 1883.08389, 2027.31052, 2180.74025, 2343.80511, 2516.93715, 2700.56839, 2931.52669, 3164.7493, 3391.56928, 3603.31972, 3791.33369, 3914.47329, 4018.18987, 4107.73265, 4199.82174, 4295.16576, 4389.69382, 4484.35353, 4580.0925, 4677.85835, 4778.59869, 5055.9632, 5222.26432, 5308.03174, 5343.79515, 5360.08426, 5387.42878, 5456.35838, 5582.26266, 5695.08446}
1569  };
1570 
1571  const double b3tab[98][200] = {{98.4097635, 97.1760915, 95.9730506, 94.799433, 93.6540305, 92.5356354, 91.4430395, 90.3750351, 89.330414, 88.3079684, 87.3064903, 86.3247717, 85.3616047, 84.4157813, 83.4860937, 82.5713337, 81.6702935, 80.781765, 79.9045405, 79.0374118, 78.1791711, 77.3286103, 76.4845216, 75.6456969, 74.8109283, 73.9790079, 73.1487277, 72.3188798, 71.4882561, 70.6556487, 69.8198498, 68.9796512, 68.1338451, 67.2812235, 66.355427, 65.3891938, 64.416045, 63.4368869, 62.452626, 61.4641686, 60.4724209, 59.4782894, 58.4826803, 57.4865001, 56.4906549, 55.4960512, 54.5035954, 53.5141936, 52.5287523, 51.5481778, 50.5733764, 49.6682217, 48.7692878, 47.876116, 46.9882476, 46.1052241, 45.2265866, 44.3518766, 43.4806354, 42.6124042, 41.7467245, 40.8831375, 40.0211846, 39.1604072, 38.3003464, 37.4405438, 36.5805405, 35.7330266, 34.9103763, 34.0850128, 33.2556252, 32.4209025, 31.5795334, 30.7302072, 29.8716125, 29.0024386, 28.1213742, 27.2271084, 26.3183301, 25.3937283, 24.4519919, 23.4918099, 22.5118712, 21.5108649, 20.3371478, 19.067737, 17.7814563, 16.4818732, 15.1725553, 13.8570701, 12.538985, 11.2218677, 9.90928565, 8.60480633, 7.31199729, 6.03442604, 4.77566012, 3.53926703, 2.3288143, 1.14786945, 0, -0.0159923779, -0.153916723, -0.405638979, -0.763025093, -1.21794101, -1.76225267, -2.38782603, -3.08652703, -3.85022161, -4.67077572, -5.5400553, -6.4499263, -7.39225467, -8.35890635, -9.34174728, -10.3326434, -11.4052827, -12.56322, -13.6132475, -14.5647646, -15.4271705, -16.2098644, -16.9222455, -17.5737132, -18.1736665, -18.7315047, -19.2566272, -19.758433, -20.2463215, -20.8648893, -21.4387658, -21.936791, -22.3278051, -22.6794273, -22.911108, -22.9159564, -22.6331786, -22.001981, -20.9615697, -19.4511509, -17.8944717, -15.5987285, -12.408326, -8.16766893, -2.72116204, 3.25058181, 10.9484181, 20.736994, 32.980957, 48.0449543, 65.2627953, 87.2898783, 114.961552, 149.305631, 191.74288, 243.517638, 305.874244, 376.394452, 460.81759, 568.87853, 704.740707, 875.950684, 1081.02909, 1327.16872, 1636.25687, 2023.4358, 2483.92395, 3027.69813, 3737.78933, 4655.90497, 5559.49816, 6795.18515, 8496.14601, 10795.5608, 13826.6096, 21500.1379, 29227.244, 36196.6917, 41597.2445, 44617.6664, 41038.9421, 35729.4667, 29338.4807, 24336.1642, 20650.969, 17452.6218, 14707.5105, 12382.023, 10442.5474, 8855.47136, 7591.24265, 6623.20723, 5904.70549, 5389.07778, 5029.66447, 4779.80594, 4592.84254, 4453.81101, 4428.88647},
1572  {88.9798529, 87.6384075, 86.3382259, 85.0779503, 83.8562226, 82.6716849, 81.5229792, 80.4087474, 79.3276317, 78.2782741, 77.2593165, 76.269401, 75.3071696, 74.3712643, 73.4603273, 72.5730004, 71.7079257, 70.8637452, 70.039101, 69.232635, 68.4429893, 67.668806, 66.908727, 66.1613943, 65.4254501, 64.6995362, 63.9822947, 63.2723677, 62.5683972, 61.8690252, 61.1728937, 60.4786447, 59.7849202, 59.0903624, 58.3528459, 57.592254, 56.8289596, 56.0629279, 55.2941237, 54.5225122, 53.7480582, 52.9707268, 52.190483, 51.4072918, 50.6211181, 49.831927, 49.0396835, 48.2443525, 47.4458991, 46.6442882, 45.8394849, 45.0163497, 44.1902796, 43.3615668, 42.5305038, 41.6973832, 40.8624972, 40.0261383, 39.188599, 38.3501717, 37.5111487, 36.6718227, 35.8324859, 34.9934308, 34.1549498, 33.3173354, 32.4808799, 31.6685967, 30.9029531, 30.137382, 29.3707029, 28.6017353, 27.8292987, 27.0522127, 26.2692968, 25.4793705, 24.6812534, 23.8737651, 23.055725, 22.2259528, 21.3832679, 20.5264898, 19.6544382, 18.7659325, 17.7508519, 16.6647775, 15.5645999, 14.4526739, 13.3313545, 12.2029964, 11.0699546, 9.93458386, 8.79923911, 7.6662752, 6.538047, 5.41690936, 4.30521716, 3.20532526, 2.11958852, 1.05036181, 0, -0.388021037, -0.846035596, -1.36929094, -1.95303435, -2.59251307, -3.28297439, -4.01966556, -4.79783385, -5.61272654, -6.45959087, -7.33367413, -8.23022358, -9.14448649, -10.0717101, -11.0071417, -11.9460286, -12.9244536, -13.9434976, -14.9060417, -15.8160836, -16.6776212, -17.494652, -18.271174, -19.0111848, -19.7186822, -20.3976639, -21.0521277, -21.6860714, -22.3034926, -23.0078702, -23.6672446, -24.255769, -24.7475969, -25.2925024, -25.7768285, -26.0400862, -26.0037428, -25.5892655, -24.7181215, -23.3117781, -21.5778167, -19.0645121, -15.6373528, -11.1618271, -5.50342338, 0.475233378, 8.15507551, 17.9198988, 30.153499, 45.2396718, 62.4118971, 84.6102284, 112.114335, 145.978112, 188.836164, 242.613391, 309.234691, 388.808222, 485.488518, 605.412014, 747.648881, 926.470114, 1144.9921, 1413.22357, 1752.85196, 2180.20398, 2689.77775, 3292.24071, 4078.29852, 5093.3827, 6156.17734, 7573.74559, 9470.00845, 11968.8869, 15194.3021, 22920.019, 30707.6535, 37768.6655, 43314.5152, 46556.6623, 43449.1498, 38632.4661, 32714.1072, 27950.0211, 24295.1915, 21017.7466, 18107.0129, 15552.3166, 13342.984, 11468.3414, 9989.6802, 8813.27937, 7903.56495, 7224.96295, 6741.89938, 6418.80026, 6220.09159, 6217.92725, 6532.91105},
1573  {81.2404201, 80.2115989, 79.1918898, 78.1813176, 77.179907, 76.187683, 75.2046702, 74.2308935, 73.2663776, 72.3111474, 71.3652276, 70.428643, 69.5014183, 68.5835785, 67.6751483, 66.7761524, 65.8866157, 65.0065629, 64.1360189, 63.2750084, 62.4235562, 61.5816871, 60.7494259, 59.9267973, 59.1138263, 58.3105375, 57.5169557, 56.7331057, 55.9590124, 55.1947005, 54.4401948, 53.6955201, 52.9607012, 52.2357628, 51.554373, 50.8990274, 50.251817, 49.6116749, 48.9775341, 48.3483276, 47.7229884, 47.1004494, 46.4796438, 45.8595045, 45.2389644, 44.6169567, 43.9924142, 43.36427, 42.7314572, 42.0929086, 41.4475573, 40.7316872, 40.0082385, 39.2775024, 38.5397698, 37.7953321, 37.0444801, 36.2875052, 35.5246983, 34.7563506, 33.9827533, 33.2041973, 32.4209739, 31.6333741, 30.841689, 30.0462099, 29.2472277, 28.451951, 27.6674224, 26.8796662, 26.0885251, 25.2938417, 24.4954588, 23.693219, 22.8869651, 22.0765395, 21.2617852, 20.4425447, 19.6186608, 18.789976, 17.9563331, 17.1175748, 16.2735438, 15.4240826, 14.5470907, 13.6538438, 12.7558818, 11.8537594, 10.9480313, 10.0392525, 9.12797758, 8.21476144, 7.30015884, 6.38472456, 5.46901341, 4.55358015, 3.63897959, 2.72576651, 1.81449569, 0.905721924, 0, -0.886193644, -1.76498891, -2.63690887, -3.50247659, -4.36221513, -5.21664756, -6.06629696, -6.91168637, -7.75333889, -8.59177756, -9.42752546, -10.2611056, -11.0930412, -11.9238552, -12.7540707, -13.5842107, -14.3590863, -15.0712616, -15.8472752, -16.6757117, -17.545156, -18.4441929, -19.3614071, -20.2853833, -21.2047063, -22.1079609, -22.9837318, -23.8206039, -24.6071618, -25.3508027, -26.0144011, -26.5808981, -27.0332348, -27.5250254, -27.9538743, -28.1718732, -28.1107612, -27.7022773, -26.8781606, -25.5701503, -24.3042021, -22.2369898, -19.1839928, -14.9606905, -9.38256218, -2.45240388, 6.24845099, 16.9513523, 29.8876499, 45.2886937, 61.4397746, 82.8968178, 110.322545, 145.149456, 190.381683, 248.317725, 321.256085, 410.32486, 519.258954, 653.070074, 808.881286, 1004.09412, 1241.92292, 1534.02015, 1906.33623, 2378.25857, 2945.92843, 3622.70647, 4507.18921, 5649.75893, 6888.66355, 8519.05579, 10664.7491, 13449.5568, 16997.2924, 25185.7631, 33446.29, 40964.1882, 46924.7727, 50513.3584, 47583.6229, 42873.6104, 36996.4803, 32207.4119, 28469.5986, 25062.0594, 21982.1964, 19227.4122, 16795.109, 14682.6891, 12836.2218, 11396.4304, 10294.3959, 9461.19934, 8827.92158, 8325.64363, 7885.44646, 7768.35572, 7902.53999},
1574  {74.8104589, 73.8844318, 72.9734349, 72.0769787, 71.1945738, 70.3257308, 69.4699602, 68.6267724, 67.7956782, 66.9761879, 66.1678122, 65.3700615, 64.5824466, 63.8044777, 63.0356656, 62.2755208, 61.5235538, 60.7792751, 60.0421953, 59.3118249, 58.5876745, 57.8692546, 57.1560758, 56.4476486, 55.7434835, 55.0430911, 54.3459819, 53.6516665, 52.9596555, 52.2694592, 51.5805884, 50.8925535, 50.2048651, 49.5170338, 48.8079731, 48.0879253, 47.3673801, 46.6465166, 45.9255137, 45.2045502, 44.4838053, 43.7634578, 43.0436867, 42.3246709, 41.6065893, 40.8896211, 40.173945, 39.45974, 38.7471852, 38.0364594, 37.3277416, 36.6462264, 35.9665349, 35.2883037, 34.6111694, 33.9347687, 33.2587382, 32.5827146, 31.9063346, 31.2292348, 30.5510519, 29.8714225, 29.1899833, 28.506371, 27.8202222, 27.1311735, 26.4388617, 25.7374737, 25.0213272, 24.3012985, 23.5773777, 22.8495546, 22.1178191, 21.3821613, 20.6425711, 19.8990384, 19.1515532, 18.4001054, 17.6446849, 16.8852817, 16.1218858, 15.354487, 14.5830754, 13.8076409, 13.0298425, 12.2488006, 11.4636154, 10.6742225, 9.88055777, 9.082557, 8.28015594, 7.47329037, 6.66189606, 5.84590879, 5.02526434, 4.19989847, 3.36974695, 2.53474558, 1.69483011, 0.849936327, 0, -0.972202188, -1.92966602, -2.87346881, -3.80468788, -4.72440052, -5.63368406, -6.53361581, -7.42527307, -8.30973317, -9.18807341, -10.0613711, -10.9307036, -11.7971481, -12.6617821, -13.5256827, -14.3899274, -15.2227862, -16.0206497, -16.858802, -17.7312902, -18.6321616, -19.5554634, -20.4952427, -21.4455468, -22.4004229, -23.3539181, -24.3000797, -25.2329548, -26.1465907, -27.1202977, -28.0315966, -28.8489559, -29.5408438, -30.1590414, -30.6303606, -30.8593965, -30.7896234, -30.3645157, -29.5275478, -28.2221942, -27.1343611, -25.2391335, -22.3347274, -18.2193589, -12.6912438, -6.7076883, 1.38195421, 12.0692402, 25.8457262, 43.2029687, 63.5497607, 89.7837998, 121.300037, 159.109821, 207.524647, 269.374313, 347.488615, 443.441046, 561.603232, 707.71731, 879.524346, 1095.06589, 1353.53122, 1667.6293, 2072.97735, 2594.67734, 3237.70119, 4021.93195, 5041.06283, 6347.03582, 7698.32436, 9485.48803, 11862.0541, 14981.5499, 18997.5026, 28447.3725, 38004.7707, 46727.2413, 53672.3282, 57897.5756, 54604.6053, 49277.4983, 42626.3368, 37310.2043, 33267.7034, 29625.3522, 26362.3574, 23457.9255, 20891.2631, 18641.5766, 16334.7945, 14577.3557, 13251.1515, 12238.0733, 11420.0124, 10678.8603, 9896.50829, 9500.74792, 9265.54573},
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1666  {36.6432225, 39.4459311, 41.9597539, 44.1936276, 46.1564889, 47.8572745, 49.304921, 50.5083651, 51.4765436, 52.218393, 52.74285, 53.0588514, 53.1753338, 53.1012338, 52.8454883, 52.4170337, 51.8248069, 51.0777445, 50.1847831, 49.1548595, 47.9969104, 46.7198723, 45.332682, 43.8442762, 42.2635915, 40.5995646, 38.8611322, 37.057231, 35.1967976, 33.2887688, 31.3420811, 29.3656714, 27.3684762, 25.3594322, 23.5378941, 21.8135845, 20.0939371, 18.3817091, 16.6796579, 14.9905406, 13.3171145, 11.6621368, 10.0283649, 8.41855588, 6.83546705, 5.28185566, 3.76047896, 2.27409417, 0.825458565, -0.582670623, -1.94753615, -3.15843217, -4.32289016, -5.44049296, -6.51082345, -7.5334645, -8.50799897, -9.43400973, -10.3110797, -11.1387916, -11.9167284, -12.644473, -13.3216082, -13.9477169, -14.522382, -15.0451863, -15.5157127, -15.9249806, -16.2642149, -16.5506602, -16.7844543, -16.9657352, -17.0946411, -17.1713099, -17.1958795, -17.1684881, -17.0892735, -16.9583738, -16.7759271, -16.5420712, -16.2569443, -15.9206842, -15.5334291, -15.0953169, -14.2277983, -13.1283202, -11.9988809, -10.8519075, -9.6998272, -8.55506711, -7.43005436, -6.33721608, -5.28897942, -4.29777149, -3.37601944, -2.5361504, -1.7905915, -1.15176988, -0.632112667, -0.244046996, 0, -1.54253487, -3.0549122, -4.5477035, -6.03148025, -7.51681397, -9.01427614, -10.5344383, -12.0878718, -13.6851484, -15.3368393, -17.0535162, -18.8457506, -20.7241139, -22.6991776, -24.7815133, -26.9816923, -28.9983713, -30.7975623, -33.095359, -35.8354941, -38.9616999, -42.4177092, -46.1472544, -50.0940682, -54.2018829, -58.4144314, -62.6754459, -66.9286592, -71.1178038, -74.7630249, -78.3869577, -82.060411, -85.8541936, -90.1532381, -94.8712912, -99.8383336, -105.030937, -110.425673, -115.999113, -121.72783, -127.654301, -133.669134, -139.736003, -145.818585, -151.880557, -160.068072, -167.616712, -173.944533, -178.469593, -180.609951, -178.13999, -174.130376, -172.053281, -172.751248, -171.697996, -166.777734, -155.874674, -132.105448, -99.2053848, -66.1108104, -43.0652258, -17.8146307, 15.8603547, 62.9532825, 126.380608, 210.012207, 317.300362, 452.006685, 619.423967, 823.978881, 1041.96352, 1310.26753, 1643.05647, 2054.4959, 2558.75137, 3574.63071, 4610.49666, 5579.35422, 6394.20839, 6968.06416, 6877.33145, 6596.00706, 6181.35103, 5853.00614, 5603.95592, 5359.52443, 5116.07818, 4869.98367, 4617.60741, 4355.31592, 4104.92347, 3806.32885, 3474.19461, 3123.18334, 2767.95761, 2423.17999, 2103.51307, 1984.9796, 1579.21194},
1667  {32.139939, 35.5609321, 38.664182, 41.4592776, 43.9558078, 46.1633616, 48.0915278, 49.7498953, 51.1480531, 52.2955899, 53.2020949, 53.8771567, 54.3303644, 54.5713069, 54.6095729, 54.4547516, 54.1164316, 53.604202, 52.9276517, 52.0963695, 51.1199444, 50.0079652, 48.7700208, 47.4157003, 45.9545923, 44.396286, 42.75037, 41.0264335, 39.2340652, 37.3828541, 35.482389, 33.5422589, 31.5720527, 29.5813593, 27.78148, 26.0769047, 24.369699, 22.6629058, 20.959568, 19.2627286, 17.5754306, 15.9007168, 14.2416302, 12.6012137, 10.9825104, 9.38856304, 7.82241472, 6.28710832, 4.7856868, 3.3211931, 1.89667015, 0.624687976, -0.603611883, -1.78756081, -2.9264902, -4.01973144, -5.06661592, -6.06647502, -7.01864013, -7.92244265, -8.77721395, -9.58228543, -10.3369885, -11.0406545, -11.6926148, -12.2922009, -12.8387441, -13.3152051, -13.7049375, -14.0410362, -14.3238938, -14.553903, -14.7314563, -14.8569465, -14.9307662, -14.953308, -14.9249645, -14.8461284, -14.7171923, -14.5385488, -14.3105907, -14.0337105, -13.7083008, -13.3347544, -12.5911802, -11.6458916, -10.6710752, -9.67758255, -8.67626492, -7.67797367, -6.69356017, -5.73387578, -4.80977185, -3.93209974, -3.1117108, -2.35945641, -1.68618791, -1.10275666, -0.620014016, -0.248811345, 0, -0.750259283, -1.56652565, -2.45301413, -3.41393975, -4.45351754, -5.57596254, -6.78548978, -8.08631428, -9.48265108, -10.9787152, -12.5787217, -14.2868856, -16.1074218, -18.0445456, -20.1024718, -22.2854155, -24.6385603, -27.1719739, -29.7972043, -32.5272455, -35.3750917, -38.3537367, -41.4761747, -44.7553995, -48.2044051, -51.8361857, -55.6637351, -59.7000473, -63.9581165, -68.5237872, -73.3104908, -78.3093662, -83.5115521, -88.8799084, -94.4197134, -100.143786, -106.051749, -112.143225, -118.417836, -124.875205, -131.431653, -138.195455, -145.182533, -152.408807, -159.890198, -169.147151, -178.314931, -187.033326, -194.942126, -201.681119, -205.828864, -209.383442, -214.257968, -220.973701, -227.210194, -231.922869, -234.067148, -230.773368, -223.236824, -214.643813, -208.981651, -200.680549, -186.734888, -164.659114, -132.848903, -89.2954297, -33.0230541, 37.7091856, 128.430583, 242.527538, 369.979737, 529.642861, 729.544094, 977.710621, 1282.16962, 1888.85354, 2508.408, 3089.38385, 3580.33197, 3929.80324, 3890.68153, 3737.62936, 3503.05488, 3307.59958, 3148.74593, 2987.21246, 2822.31981, 2653.38862, 2479.73954, 2300.6932, 2427.53736, 2307.72336, 2024.49048, 1661.07797, 1300.7251, 1026.67112, 922.155289, 741.435195, 452.763737},
1668  {31.6116123, 35.7658006, 39.5787693, 43.0601093, 46.2194113, 49.0662663, 51.6102651, 53.8609986, 55.8280577, 57.5210333, 58.9495161, 60.1230971, 61.0513671, 61.7439171, 62.2103378, 62.4602202, 62.5031551, 62.3487334, 62.0065459, 61.4861835, 60.7972372, 59.9492976, 58.9519558, 57.8148026, 56.5474289, 55.1594254, 53.6603832, 52.059893, 50.3675458, 48.5929323, 46.7456435, 44.8352703, 42.8714034, 40.8636338, 38.9743304, 37.1334814, 35.2692391, 33.3862363, 31.4891061, 29.5824813, 27.6709948, 25.7592797, 23.8519687, 21.9536949, 20.0690912, 18.2027904, 16.3594256, 14.5436297, 12.7600356, 11.0132762, 9.30798441, 7.83212198, 6.40301886, 5.02133376, 3.6877254, 2.4028525, 1.16737379, -0.0180520166, -1.1527662, -2.23611003, -3.2674248, -4.24605178, -5.17133226, -6.0426075, -6.85921879, -7.62050741, -8.32581464, -8.95546958, -9.49025782, -9.96873182, -10.3914653, -10.7590321, -11.0720059, -11.3309606, -11.5364697, -11.6891072, -11.7894468, -11.8380623, -11.8355273, -11.7824157, -11.6793012, -11.5267576, -11.3253587, -11.0756781, -10.5085101, -9.76499261, -8.98950626, -8.19137968, -7.3799415, -6.56452036, -5.75444487, -4.95904368, -4.18764541, -3.44957868, -2.75417214, -2.11075441, -1.52865413, -1.01719991, -0.5857204, -0.243544219, 0, -0.631595761, -1.2960111, -1.9998198, -2.74959563, -3.55191239, -4.41334386, -5.34046381, -6.33984602, -7.41806428, -8.58169237, -9.83730407, -11.1914732, -12.6507734, -14.2217787, -15.9110626, -17.7251991, -19.5674166, -21.4295254, -23.5518563, -25.9188377, -28.5148979, -31.3244653, -34.3319683, -37.5218353, -40.8784946, -44.3863747, -48.0299038, -51.7935104, -55.6616229, -59.4590448, -63.3883584, -67.4818795, -71.7719239, -76.307994, -81.1138123, -86.2085182, -91.6192715, -97.3732321, -103.49756, -110.019414, -117.055912, -124.516878, -132.411872, -140.750454, -149.542183, -159.215084, -169.255636, -179.568781, -190.059465, -200.632629, -210.842043, -221.373039, -234.329092, -250.067529, -265.380635, -278.661323, -288.30251, -285.514935, -277.506002, -279.318215, -309.240499, -347.656062, -378.518536, -395.043901, -406.142671, -413.521313, -420.79133, -430.153088, -436.821811, -439.963915, -444.581707, -443.107881, -432.688736, -410.470571, -373.599686, -254.965588, -132.035565, -18.0201138, 73.8702698, 130.425089, 86.1474082, 14.9707959, -73.9067704, -141.837052, -191.279466, -236.964374, -280.737645, -324.445151, -369.932762, -419.046349, -897.821028, -1085.49787, -1070.24367, -940.225247, -783.6094, -688.562938, -743.252665, -754.413519, -809.763205}
1669  };
1670 
1671  const double b4tab[98][200] = {{-186.925396, -184.352525, -181.842459, -179.392881, -177.001471, -174.665911, -172.383881, -170.153063, -167.971138, -165.835786, -163.74469, -161.695529, -159.685985, -157.713739, -155.776473, -153.871866, -151.997601, -150.151359, -148.330819, -146.533665, -144.757576, -143.000233, -141.259319, -139.532513, -137.817497, -136.111952, -134.413559, -132.72, -131.028954, -129.338104, -127.64513, -125.947714, -124.243536, -122.530278, -120.680754, -118.757705, -116.825372, -114.885489, -112.939788, -110.990004, -109.037869, -107.085117, -105.133481, -103.184693, -101.240488, -99.3025987, -97.3727579, -95.4526991, -93.5441555, -91.6488604, -89.768547, -88.0226562, -86.2926618, -84.5777456, -82.8770889, -81.1898735, -79.5152807, -77.8524923, -76.2006897, -74.5590546, -72.9267684, -71.3030128, -69.6869693, -68.0778195, -66.4747449, -64.8769271, -63.2835477, -61.7134664, -60.1850706, -58.6569569, -57.1270313, -55.5931997, -54.053368, -52.505442, -50.9473277, -49.3769311, -47.7921579, -46.1909141, -44.5711056, -42.9306384, -41.2674182, -39.5793511, -37.8643428, -36.1202994, -34.0976577, -31.9232632, -29.726936, -27.5146128, -25.2922304, -23.0657256, -20.841035, -18.6240954, -16.4208437, -14.2372165, -12.0791505, -9.95258263, -7.86344952, -5.81768795, -3.82123468, -1.88002644, 0, 0.0434581599, 0.272749192, 0.675186147, 1.23808208, 1.94875003, 2.79450306, 3.76265422, 4.84051656, 6.01540312, 7.27462697, 8.60550115, 9.99533872, 11.4314527, 12.9011562, 14.3917622, 15.8905838, 17.5127663, 19.2638843, 20.8421068, 22.2621394, 23.5386878, 24.6864575, 25.7201544, 26.654484, 27.504152, 28.2838641, 29.008326, 29.6922432, 30.3503215, 31.2052016, 31.9874112, 32.6492755, 33.1431197, 33.5715277, 33.8116952, 33.7007491, 33.1459369, 32.0545062, 30.3337047, 27.8907797, 25.3697236, 21.7168125, 16.6951485, 10.0678332, 1.59796868, -7.67457687, -19.5826596, -34.6823693, -53.5297957, -76.6810286, -103.124037, -136.899623, -179.306522, -231.912595, -296.835178, -375.944902, -471.112401, -578.590857, -707.145046, -871.667868, -1078.66356, -1339.33343, -1651.40524, -2025.67476, -2495.08082, -3082.39822, -3780.68292, -4605.00483, -5679.40299, -7066.27733, -8436.54447, -10304.3159, -12867.5049, -16324.025, -20871.7896, -32431.6495, -44047.8462, -54487.5588, -62517.9663, -66906.2476, -61201.5804, -52867.8127, -42908.4099, -35170.5652, -29532.1018, -24685.9559, -20569.1951, -17118.8867, -14272.098, -11965.8966, -10141.5357, -8733.36197, -7674.88453, -6899.61269, -6341.05569, -5932.72281, -5608.12327, -5341.81396, -5213.41287},
1672  {-168.555271, -165.78756, -163.103997, -160.50192, -157.978668, -155.531577, -153.157987, -150.855235, -148.620659, -146.451596, -144.345386, -142.299365, -140.310872, -138.377245, -136.495821, -134.663939, -132.878937, -131.138151, -129.438922, -127.778585, -126.15448, -124.563944, -123.004316, -121.472932, -119.967132, -118.484252, -117.021632, -115.576608, -114.146519, -112.728703, -111.320498, -109.919241, -108.522271, -107.126926, -105.648744, -104.127684, -102.604687, -101.079744, -99.5528491, -98.0239942, -96.4931718, -94.9603743, -93.4255943, -91.8888242, -90.3500565, -88.8092836, -87.2664981, -85.7216923, -84.1748589, -82.6259902, -81.0750787, -79.4954129, -77.9142682, -76.3322158, -74.7498273, -73.1676739, -71.586327, -70.0063579, -68.4283381, -66.8528389, -65.2804317, -63.7116878, -62.1471785, -60.5874753, -59.0331495, -57.4847725, -55.9429156, -54.4463975, -53.0331186, -51.6247681, -50.2194378, -48.8152197, -47.4102058, -46.0024881, -44.5901583, -43.1713086, -41.7440308, -40.3064169, -38.8565588, -37.3925484, -35.9124778, -34.4144389, -32.8965235, -31.3568237, -29.6129418, -27.7570108, -25.8833332, -23.9958582, -22.0985351, -20.1953129, -18.290141, -16.3869683, -14.4897442, -12.6024178, -10.7289383, -8.87325483, -7.03931664, -5.23107288, -3.45247273, -1.70746538, 0, 0.630126151, 1.36372938, 2.19344837, 3.11192183, 4.11178846, 5.18568694, 6.32625598, 7.52613428, 8.77796052, 10.0743734, 11.4080116, 12.7715139, 14.1575189, 15.5586653, 16.9675919, 18.3769373, 19.8429884, 21.3674765, 22.7990742, 24.144059, 25.4087086, 26.5993005, 27.7221123, 28.7834217, 29.7895061, 30.7466433, 31.6611109, 32.5391863, 33.3871473, 34.3637756, 35.2669264, 36.057126, 36.6949007, 37.4099502, 38.0282141, 38.3038525, 38.1166398, 37.3463503, 35.8727582, 33.575638, 30.7657188, 26.7606599, 21.3559184, 14.3469512, 5.52921545, -3.77444403, -15.6778049, -30.767257, -49.6291902, -72.8499945, -99.2618331, -133.349377, -175.54819, -227.467444, -293.112433, -375.412641, -477.297552, -598.925376, -746.626706, -929.755344, -1146.94357, -1419.83068, -1753.22308, -2162.30443, -2679.84198, -3330.53185, -4106.24175, -5023.15671, -6217.83249, -7758.73637, -9377.18534, -11530.6662, -14404.3522, -18183.4163, -23053.0318, -34764.1587, -46544.7365, -57188.4916, -65489.1504, -70240.4395, -65215.3108, -57575.448, -48266.3377, -40825.8243, -35173.2531, -30147.8204, -25722.8792, -21871.7821, -18567.882, -15784.5317, -13603.5652, -11864.2351, -10511.2725, -9489.40856, -8743.37446, -8217.90137, -7857.72043, -7748.75498, -8029.84348},
1673  {-153.482925, -151.33362, -149.206595, -147.101835, -145.019324, -142.959046, -140.920988, -138.905133, -136.911467, -134.939974, -132.990638, -131.063445, -129.15838, -127.275426, -125.41457, -123.575795, -121.759086, -119.964429, -118.191808, -116.441207, -114.712611, -113.006006, -111.321376, -109.658706, -108.01798, -106.399183, -104.8023, -103.227316, -101.674216, -100.142984, -98.6336045, -97.1460631, -95.6803444, -94.2364329, -92.8746705, -91.5635938, -90.2710142, -88.9949578, -87.7334507, -86.4845188, -85.2461883, -84.0164852, -82.7934355, -81.5750654, -80.3594009, -79.1444681, -77.928293, -76.7089016, -75.4843201, -74.2525745, -73.0116909, -71.6402925, -70.2583966, -68.8666177, -67.4655703, -66.0558688, -64.6381277, -63.2129616, -61.7809849, -60.342812, -58.8990575, -57.4503359, -55.9972615, -54.540449, -53.0805127, -51.6180672, -50.153727, -48.7001889, -47.2698597, -45.8384349, -44.4057456, -42.9716232, -41.5358988, -40.0984036, -38.6589689, -37.217426, -35.773606, -34.3273401, -32.8784597, -31.4267958, -29.9721799, -28.514443, -27.0534164, -25.5889314, -24.0862507, -22.563217, -21.0380882, -19.5118174, -17.9853575, -16.4596616, -14.9356827, -13.414374, -11.8966883, -10.3835789, -8.87599858, -7.37490052, -5.88123774, -4.39596325, -2.92003011, -1.45439135, 0, 1.40819313, 2.79867414, 4.17231018, 5.52996845, 6.87251608, 8.20082027, 9.51574817, 10.8181669, 12.1089438, 13.3889458, 14.6590403, 15.9200942, 17.1729749, 18.4185495, 19.6576852, 20.891249, 22.0341193, 23.0748791, 24.2088943, 25.418606, 26.686455, 27.9948824, 29.3263291, 30.663236, 31.9880443, 33.2831947, 34.5311282, 35.7142859, 36.8151087, 37.8440576, 38.7452795, 39.4928093, 40.0606821, 40.6852645, 41.2094257, 41.4060795, 41.1705612, 40.3982064, 38.9843502, 36.8243282, 34.7167793, 31.3788169, 26.5290429, 19.8860596, 11.1684689, 0.372006086, -13.1311432, -29.6916601, -49.6602258, -73.3875217, -98.2334846, -131.194894, -173.29869, -226.742986, -296.117043, -384.936547, -496.717182, -633.216505, -800.107904, -1004.98272, -1243.38475, -1541.94018, -1905.69005, -2352.43392, -2921.58992, -3642.65289, -4509.88213, -5543.63735, -6893.47525, -8635.8714, -10530.3323, -13019.067, -16288.2713, -20524.1407, -25912.871, -38401.1863, -50974.6215, -62379.2402, -71361.1058, -76666.2818, -71876.0932, -64344.5011, -55031.0282, -47488.3277, -41649.4752, -36367.0749, -31628.2259, -27420.0272, -23729.5776, -20543.9762, -17797.9503, -15644.7736, -13983.9277, -12714.8943, -11737.1551, -10950.1917, -10253.4859, -9989.70525, -10046.4791},
1674  {-140.878578, -138.952874, -137.059274, -135.196834, -133.364612, -131.561665, -129.78705, -128.039824, -126.319044, -124.623768, -122.953053, -121.305955, -119.681532, -118.078841, -116.496939, -114.934883, -113.39173, -111.866538, -110.358363, -108.866263, -107.389295, -105.926515, -104.476982, -103.039752, -101.613882, -100.198429, -98.7924512, -97.3950048, -96.0051471, -94.6219353, -93.2444265, -91.8716779, -90.5027465, -89.1366894, -87.7326791, -86.310554, -84.8906318, -83.4732641, -82.0588022, -80.6475977, -79.240002, -77.8363665, -76.4370428, -75.0423822, -73.6527362, -72.2684564, -70.8898941, -69.5174008, -68.1513279, -66.792027, -65.4398495, -64.1397755, -62.8465604, -61.5595881, -60.2782426, -59.001908, -57.7299682, -56.4618072, -55.196809, -53.9343577, -52.6738371, -51.4146314, -50.1561244, -48.8977002, -47.6387429, -46.3786363, -45.1167645, -43.8417309, -42.5423979, -41.2403835, -39.9357705, -38.6286418, -37.3190803, -36.0071687, -34.69299, -33.376627, -32.0581625, -30.7376795, -29.4152607, -28.090989, -26.7649473, -25.4372184, -24.1078851, -22.7770304, -21.4487477, -20.1210301, -18.7918227, -17.4610781, -16.1287492, -14.7947885, -13.4591488, -12.1217827, -10.7826431, -9.44168251, -8.09885373, -6.75410945, -5.40740236, -4.05868517, -2.70791058, -1.35503129, 0, 1.54240269, 3.05507522, 4.53977032, 5.99824076, 7.43223928, 8.84351863, 10.2338316, 11.6049308, 12.9585691, 14.2964993, 15.620474, 16.9322461, 18.2335682, 19.5261932, 20.8118737, 22.0923626, 23.3181876, 24.4837836, 25.7067694, 26.9779208, 28.2880139, 29.6278246, 30.9881289, 32.3597029, 33.7333224, 35.0997634, 36.4498021, 37.7742142, 39.0637758, 40.4392753, 41.7138051, 42.8391373, 43.7670443, 44.5759574, 45.1543194, 45.3567971, 45.0971649, 44.2891974, 42.8466691, 40.6833544, 38.8517722, 35.7803783, 31.1601493, 24.682062, 16.0370929, 6.68244398, -5.89868958, -22.4568873, -43.7427288, -70.5067937, -101.83272, -142.175401, -190.60369, -248.669125, -322.992062, -417.917064, -537.788692, -685.06462, -866.405135, -1090.52895, -1353.89933, -1684.21865, -2080.26861, -2561.53741, -3182.59919, -3981.92305, -4967.41742, -6169.62826, -7731.15739, -9731.22149, -11803.2407, -14540.8123, -18177.4673, -22946.7364, -29082.1505, -43590.0773, -58238.0018, -71566.2455, -82115.1301, -88424.9772, -83027.1229, -74476.8651, -63889.8049, -55463.5258, -49093.6779, -43391.7519, -38317.6059, -33831.0977, -29892.0854, -26460.4269, -23005.79, -20352.0952, -18330.4233, -16771.8552, -15507.4717, -14368.3537, -13185.5821, -12539.9599, -12114.3284},
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1765  {-36.7036308, -40.8928298, -44.665527, -48.0347566, -51.013553, -53.6149505, -55.8519833, -57.7376857, -59.285092, -60.5072365, -61.4171535, -62.0278773, -62.3524421, -62.4038822, -62.195232, -61.7395257, -61.0497976, -60.1390819, -59.0204131, -57.7068252, -56.2113528, -54.5470299, -52.726891, -50.7639702, -48.6713019, -46.4619204, -44.14886, -41.7451549, -39.2638394, -36.7179478, -34.1205144, -31.4845735, -28.8231594, -26.1493063, -23.7781024, -21.5652017, -19.3626279, -17.173613, -15.0013891, -12.8491882, -10.7202424, -8.61778381, -6.54504441, -4.5052563, -2.50165151, -0.537462126, 1.38407981, 3.25974224, 5.0862931, 6.86050032, 8.57913187, 10.1318017, 11.6247547, 13.0570816, 14.4278732, 15.7362203, 16.9812139, 18.1619447, 19.2775036, 20.3269813, 21.3094688, 22.2240568, 23.0698361, 23.8458977, 24.5513323, 25.1852307, 25.7466839, 26.218921, 26.5855523, 26.8783817, 27.0975284, 27.2431113, 27.3152496, 27.3140623, 27.2396685, 27.0921873, 26.8717376, 26.5784386, 26.2124094, 25.773769, 25.2626364, 24.6791308, 24.0233712, 23.2954767, 21.9080645, 20.1673621, 18.3866578, 16.5851364, 14.7819824, 12.9963805, 11.2475153, 9.55457146, 7.93673356, 6.41318625, 5.00311414, 3.72570187, 2.60013407, 1.64559535, 0.881270352, 0.326343692, 0, 3.84055686, 7.37729274, 10.6438042, 13.6736878, 16.5005402, 19.1579578, 21.6795372, 24.098875, 26.4495678, 28.7652121, 31.0794045, 33.4257415, 35.8378196, 38.3492356, 40.9935858, 43.804467, 45.9279075, 47.2707085, 49.874061, 53.5813684, 58.236034, 63.6814613, 69.7610537, 76.3182146, 83.1963474, 90.2388555, 97.2891424, 104.190611, 110.786666, 115.7803, 120.573477, 125.351723, 130.300562, 136.596932, 143.930654, 151.727172, 159.874591, 168.261013, 176.774543, 185.303283, 194.148216, 202.658908, 210.64268, 217.906855, 224.258754, 230.226109, 234.715732, 237.354844, 237.770664, 235.590414, 230.706903, 222.157152, 209.623715, 192.582572, 170.087957, 141.383459, 105.712666, 65.9855343, 16.9460217, -50.6615864, -145.971261, -264.357897, -395.688312, -540.614012, -718.060558, -938.565421, -1212.75817, -1551.20014, -1964.11501, -2461.91744, -2981.76874, -3618.60671, -4408.20294, -5386.32905, -6588.75664, -9014.2552, -11494.849, -13825.5601, -15801.4108, -17217.4231, -17087.5456, -16508.5898, -15610.3236, -14880.5579, -14307.3354, -13729.5143, -13142.5963, -12542.0833, -11923.4773, -11282.2801, -9871.80228, -8971.63435, -8406.4765, -8001.02897, -7579.99198, -6968.06578, -5989.95059, -5615.29684, -5002.94136},
1766  {-40.407689, -44.9437335, -49.050512, -52.7410199, -56.0282524, -58.9252046, -61.4448718, -63.6002492, -65.4043319, -66.8701154, -68.0105946, -68.8387649, -69.3676215, -69.6101596, -69.5793744, -69.2882612, -68.749815, -67.9770313, -66.9829051, -65.7804316, -64.3826062, -62.8024241, -61.0528803, -59.1469703, -57.0976891, -54.9180319, -52.6209941, -50.2195709, -47.7267573, -45.1555487, -42.5189403, -39.8299273, -37.1015049, -34.3466683, -31.8445609, -29.4695057, -27.092627, -24.7182829, -22.3508317, -19.9946315, -17.6540405, -15.333417, -13.037119, -10.7695049, -8.53493282, -6.33776093, -4.18234745, -2.07305058, -0.0142285163, 1.98976055, 3.93455842, 5.64651325, 7.29423044, 8.87702175, 10.3941989, 11.8450738, 13.228958, 14.5451633, 15.7930016, 16.9717845, 18.0808239, 19.1194314, 20.0869189, 20.9825981, 21.8057807, 22.5557785, 23.2319033, 23.8246425, 24.3246953, 24.7495731, 25.0991597, 25.3733388, 25.5719943, 25.69501, 25.7422697, 25.7136572, 25.6090563, 25.4283507, 25.1714244, 24.838161, 24.4284445, 23.9421586, 23.3791871, 22.7394138, 21.4332859, 19.7678036, 18.0570515, 16.3200418, 14.5757866, 12.8432981, 11.1415884, 9.48966963, 7.90655401, 6.41125367, 5.02278077, 3.76014745, 2.64236587, 1.68844818, 0.917406538, 0.348253093, 0, 2.35229248, 4.66060476, 6.94165429, 9.21215853, 11.4888349, 13.788401, 16.1275741, 18.5230718, 20.9916114, 23.5499106, 26.2146866, 29.0026571, 31.9305393, 35.0150509, 38.2729092, 41.7208317, 44.8911639, 47.7314272, 51.3539424, 55.671633, 60.5974225, 66.0442342, 71.9249918, 78.1526185, 84.640038, 91.3001735, 98.0459486, 104.790287, 111.446111, 117.269937, 123.07178, 128.961485, 135.048898, 141.92606, 149.46172, 157.396041, 165.694212, 174.321422, 183.242857, 192.423707, 201.957351, 211.641771, 221.417072, 231.223361, 241.000746, 254.105442, 266.207419, 276.392758, 283.747537, 287.357835, 283.736244, 277.687705, 274.634077, 275.890443, 274.387228, 266.819397, 249.881915, 212.961792, 161.722849, 109.801225, 72.8456261, 31.9917151, -22.102497, -97.1872816, -198.315833, -331.779349, -503.188784, -718.658975, -986.798983, -1314.80699, -1664.1007, -2094.70194, -2629.65599, -3292.00813, -4104.80364, -5747.84897, -7423.23793, -8989.82553, -10306.4667, -11232.0166, -11078.9507, -10616.7563, -9938.45085, -9400.50795, -8991.66045, -8590.86773, -8192.35128, -7790.33256, -7379.03303, -6952.67417, -6555.02574, -6074.7786, -5537.36238, -4968.20672, -4392.74124, -3836.39558, -3324.59936, -3132.0603, -2486.28916},
1767  {-33.1017163, -38.5287178, -43.4866407, -47.989349, -52.0507067, -55.6845776, -58.9048259, -61.7253153, -64.1599099, -66.2224735, -67.9268702, -69.2869638, -70.3166183, -71.0296977, -71.4400658, -71.5615867, -71.4081243, -70.9935424, -70.3317052, -69.4364764, -68.3217201, -67.0013001, -65.4890805, -63.7989251, -61.944698, -59.940263, -57.7994841, -55.5362252, -53.1643504, -50.6977234, -48.1502083, -45.535669, -42.8679695, -40.1609736, -37.7087341, -35.379127, -33.036661, -30.6861074, -28.3322374, -25.9798224, -23.6336335, -21.2984422, -18.9790197, -16.6801372, -14.406566, -12.1630775, -9.95444288, -7.78543345, -5.6608205, -3.5853753, -1.56386913, 0.228615903, 1.96131134, 3.63313791, 5.24301632, 6.78986731, 8.27261158, 9.69016988, 11.0414629, 12.3254114, 13.5409361, 14.6869577, 15.7623969, 16.7661745, 17.6972111, 18.5544275, 19.3367445, 20.0219721, 20.5884274, 21.07857, 21.4926892, 21.8310743, 22.0940145, 22.2817989, 22.394717, 22.4330578, 22.3971106, 22.2871647, 22.1035093, 21.8464336, 21.5162269, 21.1131784, 20.6375774, 20.089713, 18.9672098, 17.5322623, 16.0531065, 14.5463442, 13.028577, 11.5164066, 10.0264347, 8.57526299, 7.17949306, 5.85572663, 4.62056536, 3.49061093, 2.48246502, 1.6127293, 0.898005442, 0.354895117, 0, 1.12328851, 2.35404117, 3.69891812, 5.1645795, 6.75768546, 8.48489612, 10.3528716, 12.3682721, 14.5377578, 16.8679887, 19.365625, 22.0373269, 24.8897544, 27.9295678, 31.1634271, 34.5979926, 38.3092115, 42.3136421, 46.4612236, 50.7734634, 55.2718688, 59.9779473, 64.9132062, 70.099153, 75.557295, 81.3091397, 87.3761943, 93.7799664, 100.541963, 107.804505, 115.423989, 123.385677, 131.674834, 140.222492, 149.041031, 158.157289, 167.5728, 177.289096, 187.30771, 197.630174, 208.149823, 219.009318, 230.231359, 241.83865, 253.85389, 268.643082, 283.299802, 297.260929, 309.963338, 320.843907, 327.678957, 333.59549, 341.593492, 352.489776, 362.643835, 370.416408, 374.168233, 369.449223, 358.069767, 344.906613, 336.084814, 322.964418, 300.9645, 266.201149, 215.9715, 147.030566, 57.7965736, -54.5442618, -198.904156, -380.745705, -583.763121, -838.536369, -1158.06326, -1555.34159, -2043.36919, -3019.09627, -4015.58012, -4949.83044, -5738.85692, -6299.66928, -6233.4918, -5983.6432, -5602.46975, -5284.7288, -5026.39561, -4764.1075, -4496.80665, -4223.4352, -3942.93533, -3654.24919, -3853.54193, -3660.26545, -3207.01769, -2626.39659, -2051.00009, -1613.42614, -1446.27266, -1158.55761, -701.310287},
1768  {-31.0761186, -37.5574255, -43.5386235, -49.0334671, -54.055711, -58.6191099, -62.7374186, -66.4243916, -69.6937837, -72.5593494, -75.0348436, -77.1340208, -78.8706358, -80.2584432, -81.3111976, -82.0426539, -82.4665665, -82.5966903, -82.4467798, -82.0305898, -81.361875, -80.4543899, -79.3218893, -77.9781279, -76.4368603, -74.7118412, -72.8168253, -70.7655672, -68.5718216, -66.2493432, -63.8118867, -61.2732068, -58.6470581, -55.9471952, -53.3928302, -50.8906676, -48.3449425, -45.762742, -43.1511533, -40.5172636, -37.8681601, -35.2109299, -32.5526604, -29.9004386, -27.2613518, -24.6424871, -22.0509317, -19.4937729, -16.9780977, -14.5109935, -12.0995474, -10.0293323, -8.02291273, -6.08133874, -4.20566051, -2.3969282, -0.656191973, 1.015498, 2.61709157, 4.14753857, 5.60578883, 6.9907922, 8.30149851, 9.5368576, 10.6958193, 11.7773335, 12.78035, 13.6794237, 14.4496955, 15.1404276, 15.7521514, 16.285398, 16.7406988, 17.118585, 17.4195878, 17.6442386, 17.7930684, 17.8666088, 17.8653907, 17.7899456, 17.6408047, 17.4184993, 17.1235605, 16.7565197, 15.8922654, 14.753103, 13.5664538, 12.3466621, 11.1080721, 9.86502781, 8.63187354, 7.42295343, 6.25261168, 5.13519246, 4.08503995, 3.11649834, 2.2439118, 1.48162451, 0.843980662, 0.345324432, 0, 0.973145912, 2.00120636, 3.09447464, 4.26324406, 5.51780793, 6.86845954, 8.3254922, 9.89919921, 11.5998739, 13.4378095, 15.4232994, 17.5666369, 19.8781152, 22.3680277, 25.0466677, 27.9243285, 30.856879, 33.832552, 37.2109339, 40.9692269, 45.0846336, 49.5343563, 54.2955973, 59.3455591, 64.661444, 70.2204545, 75.9997928, 81.9766613, 88.1282626, 94.1939945, 100.476059, 107.022999, 113.883359, 121.119076, 128.771998, 136.880399, 145.488804, 154.641738, 164.383728, 174.759299, 185.965657, 197.848179, 210.421516, 223.70032, 237.699246, 253.090845, 269.067395, 285.479075, 302.176062, 319.008533, 335.27129, 352.048683, 372.611726, 397.519802, 421.796053, 442.949282, 458.488289, 454.783909, 443.014267, 446.507996, 493.637637, 553.962724, 602.586701, 628.979543, 646.95451, 659.150895, 671.178427, 686.446511, 697.472954, 702.936466, 710.783578, 708.999363, 693.054441, 658.419431, 600.564953, 413.231207, 219.051836, 38.9300675, -106.230876, -195.527768, -125.323877, -12.605158, 128.074396, 235.636027, 313.941795, 386.239078, 455.42067, 524.379366, 596.007958, 673.199241, 1419.05307, 1711.85231, 1688.78909, 1487.05554, 1243.8438, 1096.34601, 1181.75429, 1199.20829, 1285.61877}
1769  };
1770 
1771  /* YPtag: chiAmed tables below */
1772 
1773  /* Stuff for interpolating the NQC data */
1774  gsl_spline *spline = NULL;
1775  gsl_interp_accel *acc = NULL;
1776  /* Interpolate the spin NQC data in 2-D parameter space -- spin and mass ratio */
1777  /* First, interpolate in spin dimension for all mass ratios */
1778  spline = gsl_spline_alloc( gsl_interp_cspline, adim );
1779  acc = gsl_interp_accel_alloc();
1780  for (i = 0; i < qdim; i++)
1781  {
1782  gsl_spline_init( spline, alist, a3stab[i], adim );
1783  gsl_interp_accel_reset( acc );
1784  a3slist[i] = gsl_spline_eval( spline, chiA, acc );
1785  gsl_spline_init( spline, alist, a4tab[i], adim );
1786  gsl_interp_accel_reset( acc );
1787  a4list[i] = gsl_spline_eval( spline, chiA, acc );
1788  gsl_spline_init( spline, alist, a5tab[i], adim );
1789  gsl_interp_accel_reset( acc );
1790  a5list[i] = gsl_spline_eval( spline, chiA, acc );
1791  gsl_spline_init( spline, alist, b3tab[i], adim );
1792  gsl_interp_accel_reset( acc );
1793  b3list[i] = gsl_spline_eval( spline, chiA, acc );
1794  gsl_spline_init( spline, alist, b4tab[i], adim );
1795  gsl_interp_accel_reset( acc );
1796  b4list[i] = gsl_spline_eval( spline, chiA, acc );
1797  // printf("%.15f\n",a3slist[i]);
1798  }
1799  //printf("%.15f\n",a);
1800  gsl_spline_free(spline);
1801  gsl_interp_accel_free(acc);
1802  /* Second, interpolate in mass ratio dimension */
1803  spline = gsl_spline_alloc( gsl_interp_cspline, qdim );
1804  acc = gsl_interp_accel_alloc();
1805  gsl_spline_init( spline, etalist, a3slist, qdim );
1806  gsl_interp_accel_reset( acc );
1807  coeffs->a3S = gsl_spline_eval( spline, eta, acc );
1808  gsl_spline_init( spline, etalist, a4list, qdim );
1809  gsl_interp_accel_reset( acc );
1810  coeffs->a4 = gsl_spline_eval( spline, eta, acc );
1811  gsl_spline_init( spline, etalist, a5list, qdim );
1812  gsl_interp_accel_reset( acc );
1813  coeffs->a5 = gsl_spline_eval( spline, eta, acc );
1814  gsl_spline_init( spline, etalist, b3list, qdim );
1815  gsl_interp_accel_reset( acc );
1816  coeffs->b3 = gsl_spline_eval( spline, eta, acc );
1817  gsl_spline_init( spline, etalist, b4list, qdim );
1818  gsl_interp_accel_reset( acc );
1819  coeffs->b4 = gsl_spline_eval( spline, eta, acc );
1820  gsl_spline_free(spline);
1821  gsl_interp_accel_free(acc);
1822 
1823  return XLAL_SUCCESS;
1824 
1825 }
1826 
1827 
1828 
1829 UNUSED static int XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmin( EOBNonQCCoeffs * restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a )
1830 {
1831  const unsigned int qdim = 98;
1832  const unsigned int adim = 200;
1833  UINT4 i;
1834  /* REAL8 eta2 = eta*eta;*/
1835  REAL8 a3slist[qdim], a4list[qdim], a5list[qdim];
1836  REAL8 b3list[qdim], b4list[qdim];
1837  REAL8 chiA;
1838 
1839  chiA = a/(1.0-2.0*eta);
1840  if (chiA < -1.){
1841  chiA = -1.;
1842  }
1843  if (chiA > 0.99){
1844  chiA = 0.99;
1845  }
1846 
1847  memset( coeffs, 0, sizeof( *coeffs ) );
1848  const double alist[200] = {-1., -0.99, -0.98, -0.97, -0.96, -0.95, -0.94, -0.93, -0.92, -0.91, -0.9, -0.89, -0.88, -0.87, -0.86, -0.85, -0.84, -0.83, -0.82, -0.81, -0.8, -0.79, -0.78, -0.77, -0.76, -0.75, -0.74, -0.73, -0.72, -0.71, -0.7, -0.69, -0.68, -0.67, -0.66, -0.65, -0.64, -0.63, -0.62, -0.61, -0.6, -0.59, -0.58, -0.57, -0.56, -0.55, -0.54, -0.53, -0.52, -0.51, -0.5, -0.49, -0.48, -0.47, -0.46, -0.45, -0.44, -0.43, -0.42, -0.41, -0.4, -0.39, -0.38, -0.37, -0.36, -0.35, -0.34, -0.33, -0.32, -0.31, -0.3, -0.29, -0.28, -0.27, -0.26, -0.25, -0.24, -0.23, -0.22, -0.21, -0.2, -0.19, -0.18, -0.17, -0.16, -0.15, -0.14, -0.13, -0.12, -0.11, -0.1, -0.09, -0.08, -0.07, -0.06, -0.05, -0.04, -0.03, -0.02, -0.01, 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99};
1849  const double etalist[98] = {0.0075, 0.01, 0.0125, 0.015, 0.0175, 0.02, 0.0225, 0.025, 0.0275, 0.03, 0.0325, 0.035, 0.0375, 0.04, 0.0425, 0.045, 0.0475, 0.05, 0.0525, 0.055, 0.0575, 0.06, 0.0625, 0.065, 0.0675, 0.07, 0.0725, 0.075, 0.0775, 0.08, 0.0825, 0.085, 0.0875, 0.09, 0.0925, 0.095, 0.0975, 0.1, 0.1025, 0.105, 0.1075, 0.11, 0.1125, 0.115, 0.1175, 0.12, 0.1225, 0.125, 0.1275, 0.13, 0.1325, 0.135, 0.1375, 0.14, 0.1425, 0.145, 0.1475, 0.15, 0.1525, 0.155, 0.1575, 0.16, 0.1625, 0.165, 0.1675, 0.17, 0.1725, 0.175, 0.1775, 0.18, 0.1825, 0.185, 0.1875, 0.19, 0.1925, 0.195, 0.1975, 0.2, 0.2025, 0.205, 0.2075, 0.21, 0.2125, 0.215, 0.2175, 0.22, 0.2225, 0.225, 0.2275, 0.23, 0.2325, 0.235, 0.2375, 0.24, 0.2425, 0.245, 0.2475, 0.25};
1850 
1851  /* YPtag: chiAmin tables below */
1852  const double a3stab[98][200] = {{486.38171, 482.014119, 477.586317, 473.100898, 468.560452, 463.967572, 459.324849, 454.634874, 449.90024, 445.123537, 440.307358, 435.454294, 430.566937, 425.647878, 420.699709, 415.725022, 410.726408, 405.706459, 400.667766, 395.612921, 390.544517, 385.465143, 380.377392, 375.283856, 370.187127, 365.089795, 359.994452, 354.903691, 349.820102, 344.746278, 339.684809, 334.638289, 329.609307, 324.600456, 319.739539, 314.963908, 310.20941, 305.474574, 300.757928, 296.058, 291.373319, 286.702413, 282.04381, 277.396038, 272.757626, 268.127103, 263.502995, 258.883832, 254.268143, 249.654454, 245.041295, 240.396283, 235.749527, 231.100226, 226.447578, 221.790781, 217.129033, 212.461533, 207.78748, 203.106071, 198.416506, 193.717981, 189.009697, 184.29085, 179.56064, 174.818265, 170.062923, 165.27696, 160.443128, 155.59538, 150.734009, 145.859303, 140.971555, 136.071055, 131.158094, 126.232963, 121.295953, 116.347354, 111.387457, 106.416553, 101.434933, 96.4428872, 91.4407074, 86.4286838, 81.4974507, 76.600227, 71.6891456, 66.7615657, 61.8148462, 56.846346, 51.8534243, 46.83344, 41.7837521, 36.7017197, 31.5847016, 26.4300569, 21.2351447, 15.9973239, 10.7139535, 5.38239254, 0, -6.08763789, -12.0608823, -17.9402314, -23.7461834, -29.4992367, -35.2198894, -40.9286397, -46.645986, -52.3924264, -58.1884591, -64.0545825, -70.0112947, -76.079094, -82.2784786, -88.6299467, -95.1539966, -101.894803, -108.876246, -116.06527, -123.487448, -131.168351, -139.133551, -147.40862, -156.019128, -164.990649, -174.348753, -184.119013, -194.327, -204.998285, -216.100994, -227.739209, -239.955736, -252.79338, -266.150682, -280.142581, -294.922484, -310.576478, -327.190647, -344.851076, -363.643851, -383.401623, -404.541043, -427.197779, -451.507502, -477.605881, -504.513317, -533.759566, -565.759114, -600.92645, -639.67606, -683.197252, -730.182688, -779.288705, -830.275285, -885.15569, -944.931507, -1010.60432, -1083.7882, -1164.73305, -1253.02061, -1348.39703, -1452.45417, -1565.58855, -1688.86004, -1824.45251, -1974.0339, -2138.78785, -2320.25673, -2521.75865, -2745.60728, -2989.38409, -3260.86294, -3563.99556, -3902.73366, -4281.02897, -4852.58648, -5434.16631, -5992.28187, -6493.44657, -6904.17379, -7109.65732, -7211.94326, -7212.39631, -7069.49428, -6801.57789, -6444.85737, -6016.77997, -5534.79294, -5016.3435, -4478.8789, -3925.25323, -3414.7935, -2944.95691, -2513.20067, -2116.98199, -1753.75807, -1420.98611, -1112.62652, -824.627661},
1853  {459.284623, 455.294794, 451.230698, 447.095748, 442.893358, 438.626943, 434.299914, 429.915688, 425.477677, 420.989294, 416.453955, 411.875072, 407.256059, 402.600331, 397.911301, 393.192382, 388.446989, 383.678535, 378.890434, 374.0861, 369.268946, 364.442387, 359.609836, 354.774707, 349.940413, 345.110369, 340.287989, 335.476685, 330.679872, 325.900964, 321.143374, 316.410517, 311.705805, 307.032653, 302.612369, 298.334837, 294.087321, 289.866163, 285.667706, 281.488293, 277.324267, 273.17197, 269.027745, 264.887935, 260.748881, 256.606928, 252.458417, 248.299692, 244.127095, 239.936968, 235.725654, 231.272658, 226.795861, 222.296307, 217.775038, 213.233099, 208.671532, 204.091382, 199.49369, 194.879501, 190.249858, 185.605804, 180.948382, 176.278636, 171.597609, 166.906345, 162.205886, 157.511834, 152.839439, 148.159722, 143.472781, 138.778718, 134.07763, 129.369619, 124.654783, 119.933222, 115.205036, 110.470324, 105.729186, 100.981722, 96.228031, 91.4682129, 86.7023672, 81.9305935, 77.247984, 72.6051439, 67.951537, 63.2841801, 58.6000902, 53.8962842, 49.1697791, 44.4175917, 39.6367391, 34.8242381, 29.9771057, 25.0923589, 20.1670145, 15.1980894, 10.1826007, 5.11756527, 0, -5.9259591, -11.7291727, -17.4300365, -23.0489465, -28.6062984, -34.122488, -39.6179112, -45.1129638, -50.6280416, -56.1835405, -61.7998562, -67.4973846, -73.2965215, -79.2176627, -85.2812041, -91.5075414, -97.9184851, -104.534633, -111.373181, -118.454829, -125.800275, -133.430219, -141.365358, -149.626393, -158.234022, -167.208944, -176.571858, -186.343463, -196.544458, -207.089667, -218.144485, -229.761372, -241.992791, -254.8952, -268.519062, -282.913772, -298.130594, -314.220788, -331.235617, -349.226342, -367.703928, -387.424373, -408.544648, -431.221726, -455.61258, -481.537286, -509.573935, -539.963725, -572.94785, -608.767509, -647.972797, -690.118464, -734.362578, -780.642936, -830.489277, -884.716592, -944.139869, -1010.02413, -1082.63205, -1161.73537, -1249.03305, -1341.90293, -1434.56161, -1526.17421, -1624.29082, -1732.61269, -1858.43532, -2006.39182, -2167.93629, -2341.97762, -2524.25325, -2717.33143, -2921.21886, -3135.92225, -3361.44829, -3585.1549, -3822.85975, -4077.73175, -4352.93978, -4651.65275, -5058.34714, -5440.6792, -5766.9717, -5857.0752, -5738.08274, -5498.95078, -5163.67917, -4756.26778, -4300.71646, -3821.02508, -3372.25, -2957.29785, -2574.67695, -2222.89566, -1900.46232, -1605.88528, -1337.67288, -1095.85441, -888.527963},
1854  {434.112712, 430.090631, 426.034601, 421.946307, 417.827436, 413.679675, 409.504708, 405.304224, 401.079907, 396.833445, 392.566522, 388.280826, 383.978043, 379.659858, 375.327958, 370.98403, 366.629758, 362.266831, 357.896932, 353.52175, 349.14297, 344.762278, 340.381361, 336.001904, 331.625595, 327.254118, 322.88916, 318.532408, 314.185548, 309.850265, 305.528246, 301.221178, 296.930745, 292.658636, 288.546796, 284.523833, 280.516664, 276.522424, 272.538248, 268.56127, 264.588625, 260.617447, 256.64487, 252.668029, 248.684059, 244.690093, 240.683267, 236.660714, 232.61957, 228.556968, 224.470042, 220.148706, 215.801808, 211.430974, 207.037832, 202.624007, 198.191127, 193.740818, 189.274706, 184.794419, 180.301583, 175.797825, 171.284771, 166.764047, 162.237281, 157.706099, 153.172127, 148.666886, 144.221177, 139.774974, 135.327967, 130.879844, 126.430294, 121.979006, 117.525669, 113.069971, 108.611601, 104.150248, 99.6856008, 95.2173481, 90.7451787, 86.2687813, 81.7878448, 77.3020579, 72.905106, 68.5477025, 64.179431, 59.79693, 55.3968377, 50.9757927, 46.5304333, 42.057398, 37.5533252, 33.0148532, 28.4386205, 23.8212654, 19.1594265, 14.4497421, 9.68885062, 4.87339044, 0, -5.70837099, -11.3065105, -16.8133494, -22.2478185, -27.6288485, -32.9753702, -38.3063145, -43.6406121, -48.9971939, -54.3949906, -59.8529331, -65.3899521, -71.0249784, -76.7769429, -82.6647763, -88.7074095, -94.9273491, -101.344037, -107.968315, -114.819881, -121.918431, -129.283663, -136.935274, -144.892961, -153.176421, -161.805351, -170.799447, -180.178408, -189.96193, -200.035467, -210.602181, -221.722044, -233.455025, -245.915197, -259.135478, -273.134361, -287.955585, -303.642891, -320.240018, -337.790706, -355.964843, -375.293802, -395.894465, -417.883718, -441.378444, -466.855804, -493.982338, -522.78486, -553.290186, -585.525131, -618.697719, -654.654303, -694.353388, -738.410522, -786.741039, -839.574659, -897.141095, -960.293546, -1028.49655, -1100.53448, -1175.57001, -1253.98173, -1335.14896, -1419.11907, -1507.07141, -1599.66572, -1699.44658, -1807.56238, -1918.25054, -2029.65773, -2134.90362, -2237.93526, -2338.63939, -2436.90281, -2532.61227, -2550.59925, -2584.56965, -2653.17407, -2775.06311, -2968.88738, -3391.92504, -3831.78075, -4247.69327, -4434.55066, -4416.6472, -4286.75662, -4065.74925, -3774.49536, -3433.86528, -3064.72929, -2742.22085, -2420.50355, -2105.75969, -1804.17155, -1521.92145, -1265.19167, -1040.16452, -826.039404, -636.713941},
1855  {408.975106, 404.811377, 400.68602, 396.597255, 392.543305, 388.522388, 384.532726, 380.57254, 376.640051, 372.733478, 368.851044, 364.990967, 361.15147, 357.330773, 353.527096, 349.738661, 345.963688, 342.200397, 338.44701, 334.701747, 330.962829, 327.228477, 323.496911, 319.766351, 316.03502, 312.301136, 308.562922, 304.818598, 301.066384, 297.304501, 293.53117, 289.744612, 285.943047, 282.124697, 278.210793, 274.23967, 270.250587, 266.244264, 262.221418, 258.182771, 254.12904, 250.060944, 245.979204, 241.884537, 237.777663, 233.659302, 229.530172, 225.390992, 221.242482, 217.08536, 212.920346, 208.779426, 204.631374, 200.476232, 196.314041, 192.144841, 187.968675, 183.785583, 179.595607, 175.398788, 171.195168, 166.984787, 162.767687, 158.543909, 154.313495, 150.076485, 145.832922, 141.576005, 137.2991, 133.016356, 128.728258, 124.435291, 120.137939, 115.836687, 111.532021, 107.224423, 102.914381, 98.6023771, 94.2888974, 89.9744263, 85.6594486, 81.3444489, 77.0299122, 72.716323, 68.5487667, 64.4523862, 60.3505867, 56.2391602, 52.1138988, 47.9705949, 43.8050405, 39.6130278, 35.390349, 31.1327963, 26.8361619, 22.4962378, 18.1088164, 13.6696897, 9.17464997, 4.61948934, 0, -5.55175292, -10.9970051, -16.3540744, -21.6412786, -26.8769354, -32.0793626, -37.2668781, -42.4577997, -47.6704451, -52.9231321, -58.2341785, -63.6219022, -69.1046209, -74.7006523, -80.4283144, -86.3059248, -92.3792483, -98.6705235, -105.135986, -111.799836, -118.686271, -125.819492, -133.223697, -140.923086, -148.941857, -157.304212, -166.034347, -175.156464, -184.69476, -194.602547, -205.000905, -215.9353, -227.451198, -239.535279, -252.262401, -265.7231, -279.980476, -295.097631, -311.137666, -328.163683, -346.236532, -365.42225, -385.784379, -407.386459, -430.292032, -454.393507, -479.968341, -507.122859, -535.963386, -566.596246, -598.687374, -633.32174, -671.816865, -714.674624, -760.731612, -809.572099, -860.780358, -913.234573, -967.385576, -1024.45448, -1085.60795, -1149.46027, -1213.95115, -1278.64213, -1345.8429, -1416.60172, -1496.78719, -1588.69727, -1676.95531, -1756.18242, -1807.81815, -1841.69309, -1856.99122, -1852.8965, -1828.59288, -1649.08674, -1481.28402, -1357.9131, -1311.70232, -1375.38004, -1764.03073, -2206.45592, -2657.23136, -2910.31484, -2983.86007, -2962.94488, -2862.37676, -2696.96318, -2481.51165, -2230.82964, -1984.51884, -1726.92513, -1466.12629, -1210.20013, -967.224428, -745.276976, -552.435566, -353.697537, -171.729325},
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1897  {88.4407418, 86.7898267, 85.2351103, 83.7729399, 82.3996627, 81.1116261, 79.9051774, 78.7766638, 77.7224327, 76.7388314, 75.8222071, 74.9689073, 74.1752791, 73.4376698, 72.7524269, 72.1158975, 71.524429, 70.9743687, 70.4620639, 69.9838618, 69.5361099, 69.1151553, 68.7173454, 68.3390274, 67.9765488, 67.6262568, 67.2844986, 66.9476216, 66.6119731, 66.2739004, 65.9297508, 65.5758716, 65.2086101, 64.8243136, 64.2996011, 63.6932024, 63.0652863, 62.4160855, 61.7458327, 61.0547606, 60.3431019, 59.6110894, 58.8589558, 58.0869337, 57.2952559, 56.4841551, 55.653864, 54.8046154, 53.9366418, 53.0501762, 52.145451, 51.2243958, 50.2855097, 49.3289888, 48.3550289, 47.3638261, 46.3555762, 45.3304752, 44.288719, 43.2305035, 42.1560247, 41.0654786, 39.9590609, 38.8369678, 37.6993951, 36.5465387, 35.3785946, 34.1560755, 32.840447, 31.5137485, 30.1787485, 28.8382155, 27.4949179, 26.1516241, 24.8111026, 23.4761218, 22.1494501, 20.833856, 19.5321079, 18.2469742, 16.9812234, 15.7376239, 14.5189441, 13.3279525, 12.5583308, 12.0091684, 11.4748563, 10.9454771, 10.4111134, 9.86184764, 9.28776242, 8.67894027, 8.02546375, 7.31741541, 6.54487779, 5.69793345, 4.76666492, 3.74115477, 2.61148553, 1.36773976, 0, -2.79429351, -5.64943958, -8.55857438, -11.5148341, -14.5113548, -17.5412728, -20.5977242, -23.6738451, -26.7627718, -29.8576403, -32.9515869, -36.0377477, -39.1092589, -42.1592567, -45.1808771, -48.1672565, -51.3854445, -54.8677079, -57.9876163, -60.7970016, -63.3476958, -65.6915308, -67.8803385, -69.965951, -72.0002001, -74.0349178, -76.121936, -78.3130867, -80.6602019, -83.8392876, -87.0491378, -90.154332, -93.0194499, -95.0535816, -96.3490516, -97.119648, -97.3665975, -97.0911264, -96.2944613, -94.9778288, -94.5594585, -93.1923119, -90.6003756, -86.5076363, -80.6380808, -71.8330148, -60.9197762, -47.8430222, -32.5474096, -14.9775954, 3.66728857, 26.230307, 54.979365, 90.9590382, 132.716271, 179.919395, 232.236739, 286.996859, 346.739627, 416.557393, 501.526324, 597.748608, 703.237218, 817.035567, 939.933094, 1071.91778, 1213.28867, 1364.1144, 1523.32304, 1690.48784, 1866.67175, 2049.72911, 2238.7175, 2432.69448, 2630.71764, 2824.37984, 3022.06952, 3224.71044, 3433.22635, 3648.54098, 3866.60006, 4096.62405, 4341.67011, 4622.33682, 4934.7379, 5267.67815, 5617.63673, 5981.09282, 6354.52558, 6734.41416, 6949.26418, 7292.84232, 7716.30057, 8170.79091, 8607.46535, 8977.47586, 9231.97444, 9312.77506, 9531.76013},
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1908  {89.4250614, 87.1675839, 85.0387414, 83.0339905, 81.1487876, 79.3785894, 77.7188524, 76.1650331, 74.7125881, 73.356974, 72.0936473, 70.9180645, 69.8256822, 68.811957, 67.8723454, 67.002304, 66.1972893, 65.4527579, 64.7641664, 64.1269712, 63.5366289, 62.9885961, 62.4783294, 62.0012853, 61.5529203, 61.128691, 60.724054, 60.3344657, 59.9553829, 59.5822619, 59.2105594, 58.835732, 58.4532361, 58.0585283, 57.4951412, 56.8376889, 56.1626114, 55.4702954, 54.7611279, 54.0354956, 53.2937851, 52.5363835, 51.7636773, 50.9760534, 50.1738986, 49.3575996, 48.5275432, 47.6841163, 46.8277055, 45.9586977, 45.0774797, 44.1975731, 43.3059451, 42.4026976, 41.4879328, 40.5617527, 39.6242594, 38.6755547, 37.7157409, 36.7449199, 35.7631938, 34.7706647, 33.7674345, 32.7536052, 31.7292791, 30.694558, 29.649544, 28.5567655, 27.3796528, 26.195801, 25.007748, 23.8180314, 22.6291891, 21.4437589, 20.2642786, 19.0932859, 17.9333187, 16.7869147, 15.6566117, 14.5449476, 13.4544601, 12.387687, 11.3471662, 10.3354353, 9.73685641, 9.35502407, 8.98894355, 8.62876171, 8.26462541, 7.88668153, 7.48507691, 7.04995842, 6.57147292, 6.03976727, 5.44498834, 4.77728298, 4.02679806, 3.18368044, 2.23807699, 1.18013455, 0, -4.19432618, -8.15687856, -11.8986841, -15.4307697, -18.7641623, -21.9098889, -24.8789764, -27.6824518, -30.3313421, -32.8366741, -35.2094748, -37.4607712, -39.6015902, -41.6429587, -43.5959038, -45.4714523, -47.0327875, -48.2555301, -49.7113059, -51.3580325, -53.1536275, -55.0560084, -57.0230929, -59.0127984, -60.9830427, -62.8917432, -64.6968176, -66.3561835, -67.8277583, -69.0556327, -70.0166212, -70.6727895, -70.9862034, -71.3834887, -71.5944311, -71.2249334, -70.0976933, -68.0354086, -64.8607768, -60.3964956, -54.2099624, -46.4568752, -37.0098817, -25.7416297, -12.5247668, 2.51616025, 19.8233775, 39.587212, 61.9979909, 87.2460411, 115.128377, 146.709354, 182.446726, 222.793609, 268.193649, 319.094744, 375.944793, 439.652316, 510.099901, 586.667637, 669.027025, 757.710391, 854.040478, 958.178959, 1068.32014, 1183.56137, 1302.6869, 1424.71291, 1549.80366, 1677.47398, 1809.94168, 1943.60279, 2077.0365, 2208.82199, 2337.53847, 2437.81073, 2538.16095, 2643.15693, 2757.36644, 2885.35727, 3041.52691, 3214.06032, 3403.31259, 3622.99352, 3868.17194, 4128.35217, 4398.88123, 4675.10617, 4952.37401, 5226.03178, 5288.84932, 5551.09811, 5897.06654, 6211.04298, 6377.3158, 6280.17339, 5803.90412, 5316.98108, 4774.54318},
1909  {90.3986141, 88.0600549, 85.8541637, 83.7762845, 81.8217615, 79.9859386, 78.2641599, 76.6517694, 75.1441112, 73.7365293, 72.4243676, 71.2029704, 70.0676815, 69.0138451, 68.0368051, 67.1319057, 66.2944908, 65.5199044, 64.8034907, 64.1405937, 63.5265573, 62.9567257, 62.4264429, 61.9310528, 61.4658996, 61.0263273, 60.6076798, 60.2053013, 59.8145359, 59.4307274, 59.04922, 58.6653577, 58.2744845, 57.8719445, 57.2973734, 56.6272445, 55.9399026, 55.2357448, 54.5151681, 53.7785697, 53.0263465, 52.2588957, 51.4766143, 50.6798994, 49.8691481, 49.0447574, 48.2071244, 47.3566462, 46.4937199, 45.6187425, 44.732111, 43.8467876, 42.9503319, 42.0428686, 41.1245225, 40.1954182, 39.2556804, 38.3054337, 37.344803, 36.3739128, 35.3928878, 34.4018528, 33.4009324, 32.3902513, 31.3699342, 30.3401058, 29.3008908, 28.2166708, 27.0526857, 25.8827775, 24.7093879, 23.5349587, 22.3619317, 21.1927485, 20.0298511, 18.8756811, 17.7326802, 16.6032904, 15.4899532, 14.3951106, 13.3212041, 12.2706757, 11.2459671, 10.24952, 9.65928083, 9.28204083, 8.9200779, 8.56364794, 8.20300688, 7.82841062, 7.43011508, 6.99837617, 6.52344981, 5.9955919, 5.40505836, 4.7421051, 3.99698804, 3.15996308, 2.22128615, 1.17121315, 0, -4.32404258, -8.38967565, -12.2093551, -15.7955367, -19.1606765, -22.3172302, -25.2776538, -28.054403, -30.6599339, -33.1067022, -35.4071637, -37.5737745, -39.6189903, -41.555267, -43.3950606, -45.1508267, -46.5226468, -47.4783516, -48.7369589, -50.2439869, -51.9449541, -53.7853791, -55.7107802, -57.6666759, -59.5985846, -61.4520248, -63.172515, -64.7055735, -65.9967188, -66.8566518, -67.4151417, -67.658152, -67.5716466, -67.8002389, -68.0005676, -67.6536318, -66.5478002, -64.4714416, -61.2129247, -56.5606184, -49.6972282, -41.2011184, -30.9791572, -18.9382127, -4.98515306, 10.3719399, 27.9777151, 48.0756079, 70.9090535, 96.7214873, 125.503098, 158.060091, 194.884082, 236.396153, 282.873382, 334.6575, 392.09024, 455.771489, 525.726154, 601.697519, 683.610905, 771.815258, 867.577178, 971.015145, 1080.30221, 1194.50439, 1312.37596, 1432.90211, 1556.21124, 1681.78507, 1811.66971, 1942.38802, 2072.53407, 2200.70194, 2325.4857, 2420.76739, 2516.03112, 2616.04899, 2725.59307, 2849.43545, 3003.46075, 3173.92017, 3360.82325, 3576.93331, 3817.21155, 4071.30513, 4334.44097, 4601.84598, 4868.74708, 5130.37117, 5088.12788, 5316.77254, 5672.72959, 6012.42347, 6192.27863, 6068.71952, 5498.17058, 5017.12271, 4518.20335},
1910  {91.488041, 89.0589591, 86.7670507, 84.6075389, 82.5756468, 80.6665974, 78.875614, 77.1979196, 75.6287373, 74.1632903, 72.7968017, 71.5244946, 70.3415921, 69.2433173, 68.2248934, 67.2815434, 66.4084906, 65.6009579, 64.8541685, 64.1633455, 63.5237121, 62.9304914, 62.3789064, 61.8641804, 61.3815363, 60.9261973, 60.4933866, 60.0783273, 59.6762424, 59.2823552, 58.8918886, 58.5000658, 58.10211, 57.6932443, 57.1100165, 56.430325, 55.733975, 55.0213391, 54.2927897, 53.5486991, 52.7894398, 52.0153843, 51.226905, 50.4243743, 49.6081646, 48.7786484, 47.9361981, 47.0811862, 46.213985, 45.334967, 44.4445046, 43.5521017, 42.6488013, 41.7347779, 40.8102061, 39.8752602, 38.9301148, 37.9749443, 37.0099232, 36.0352261, 35.0510273, 34.0575014, 33.0548228, 32.043166, 31.0227056, 29.9936159, 28.9560715, 27.8765762, 26.7224424, 25.5632876, 24.4014691, 23.2393439, 22.0792694, 20.9236027, 19.7747011, 18.6349217, 17.5066217, 16.3921584, 15.293889, 14.2141707, 13.1553607, 12.1198162, 11.1098943, 10.1279524, 9.5464817, 9.1749871, 8.81852476, 8.46744033, 8.11207945, 7.74278776, 7.3499109, 6.92379452, 6.45478427, 5.93322579, 5.34946472, 4.6938467, 3.95671738, 3.12842241, 2.19930743, 1.15971808, 0, -4.43547038, -8.58737008, -12.4697297, -16.0965799, -19.4819512, -22.6398743, -25.5843798, -28.3294982, -30.8892603, -33.2776965, -35.5088376, -37.5967141, -39.5553566, -41.3987958, -43.1410623, -44.7961866, -45.9509996, -46.5585033, -47.5990137, -48.9950185, -50.6690055, -52.5434624, -54.5408772, -56.5837376, -58.5945313, -60.4957463, -62.2098702, -63.659391, -64.7667964, -65.1288036, -65.1131202, -64.7399652, -64.0295576, -63.8370488, -63.7651916, -63.1940899, -61.8934829, -59.6331098, -56.1827097, -51.3120217, -44.0659741, -35.1597117, -24.5047846, -12.0127428, 2.40486364, 18.2736505, 36.3856105, 56.969902, 80.2556836, 106.472114, 135.521956, 168.359691, 205.569457, 247.613275, 294.703839, 347.165786, 405.323753, 469.880023, 540.695757, 617.220139, 699.093918, 786.812419, 881.458502, 983.177449, 1090.52587, 1202.78961, 1319.26374, 1439.23648, 1561.96223, 1686.71451, 1814.37177, 1942.35573, 2069.38435, 2194.17562, 2315.44752, 2407.5029, 2499.57867, 2596.49656, 2703.07834, 2824.14579, 2976.4202, 3144.89076, 3329.27939, 3541.57046, 3776.63206, 4024.2229, 4279.46655, 4537.48653, 4793.40639, 5042.34968, 4987.66325, 5201.16695, 5538.95304, 5857.11379, 6011.74146, 5858.92833, 5254.76666, 4744.33607, 4288.88213},
1911  {92.6936721, 90.1673848, 87.7830924, 85.5358893, 83.4208702, 81.4331294, 79.5677614, 77.8198608, 76.1845219, 74.6568393, 73.2319074, 71.9048207, 70.6706737, 69.5245609, 68.4615767, 67.4768157, 66.5653722, 65.7223408, 64.942816, 64.2218921, 63.5546638, 62.9362255, 62.3616716, 61.8260967, 61.3245951, 60.8522615, 60.4041902, 59.9754758, 59.5612126, 59.1564953, 58.7564182, 58.3560759, 57.9505628, 57.5349734, 56.9427714, 56.2532663, 55.5477104, 54.8264434, 54.089805, 53.3381349, 52.5717728, 51.7910584, 50.9963314, 50.1879316, 49.3661986, 48.5314722, 47.684092, 46.8243978, 45.9527293, 45.0694261, 44.174828, 43.2742904, 42.3630286, 41.4412735, 40.5092562, 39.5672075, 38.6153585, 37.6539402, 36.6831835, 35.7033195, 34.714579, 33.7171931, 32.7113928, 31.6974089, 30.6754726, 29.6458147, 28.6086663, 27.5327307, 26.3874682, 25.2381332, 24.0870004, 22.9363447, 21.7884407, 20.6455634, 19.5099875, 18.3839877, 17.269839, 16.1698159, 15.0861934, 14.0212462, 12.9772492, 11.956477, 10.9612045, 9.99370646, 9.42087667, 9.05501115, 8.70402347, 8.35835583, 8.00845042, 7.64474945, 7.25769512, 6.83772961, 6.37529513, 5.86083387, 5.28478804, 4.63759982, 3.90971143, 3.09156505, 2.17360289, 1.14626714, 0, -4.53616176, -8.76439912, -12.7003289, -16.3595678, -19.7577328, -22.9104406, -25.8333079, -28.5419517, -31.0519887, -33.3790356, -35.5387094, -37.5466267, -39.4184044, -41.1696594, -42.8160083, -44.373068, -45.3039959, -45.5454859, -46.3627656, -47.6530674, -49.3136242, -51.2416684, -53.3344328, -55.48915, -57.6030525, -59.5733731, -61.2973444, -62.672199, -63.5951696, -63.4370243, -62.8144972, -61.7827603, -60.3969855, -59.7037135, -59.2624318, -58.3682633, -56.7789694, -54.2523116, -50.5460511, -45.4179495, -37.8541358, -28.6188484, -17.6208203, -4.76878457, 10.0285259, 26.4171135, 45.044826, 66.1142467, 89.8279587, 116.388545, 145.560326, 178.519803, 215.945981, 258.35409, 305.924992, 358.989673, 417.87912, 483.498162, 555.473523, 632.80592, 714.723877, 801.953341, 895.372537, 995.173802, 1100.38728, 1210.57659, 1325.70727, 1445.44716, 1567.99027, 1692.36427, 1818.07781, 1943.60362, 2067.8029, 2189.53683, 2307.66663, 2397.23456, 2486.87547, 2581.40528, 2685.63991, 2804.39529, 2954.9312, 3121.32381, 3303.05595, 3511.55337, 3741.57153, 3982.88965, 4230.51199, 4479.44281, 4724.68635, 4961.24689, 4928.00813, 5133.5459, 5443.47368, 5723.40498, 5838.95328, 5655.73208, 5039.35489, 4497.32324, 4086.42167},
1912  {94.0084985, 91.3788883, 88.8963744, 86.5559154, 84.3524696, 82.2809954, 80.3364513, 78.5137957, 76.8079871, 75.2139837, 73.7267442, 72.3412268, 71.05239, 69.8551922, 68.7445919, 67.7155474, 66.7630173, 65.8819598, 65.0673335, 64.3140968, 63.617208, 62.9716256, 62.372308, 61.8142137, 61.292301, 60.8015285, 60.3368544, 59.8932373, 59.4656355, 59.0490074, 58.6383116, 58.2285064, 57.8145502, 57.3914015, 56.7892679, 56.0889486, 55.3732228, 54.6423954, 53.8967713, 53.1366555, 52.3623527, 51.574168, 50.7724062, 49.9573723, 49.129371, 48.2887074, 47.4356863, 46.5706127, 45.6937913, 44.8055272, 43.9061252, 42.9966352, 42.076601, 41.1463114, 40.206055, 39.2561206, 38.2967971, 37.328373, 36.3511372, 35.3653784, 34.3713854, 33.3694469, 32.3598517, 31.3428885, 30.3188461, 29.2880132, 28.2506785, 27.1777241, 26.040738, 24.9006582, 23.7596797, 22.6199977, 21.4838071, 20.3533031, 19.2306807, 18.118135, 17.0178611, 15.932054, 14.8629088, 13.8126206, 12.7833845, 11.7773955, 10.7968486, 9.84393904, 9.27970224, 8.91936534, 8.57384246, 8.23368363, 7.88943885, 7.53165812, 7.15089145, 6.73768886, 6.28260035, 5.77617592, 5.20896559, 4.57151936, 3.85438723, 3.04811923, 2.14326535, 1.13037561, 0, -4.6216105, -8.91261736, -12.8901419, -16.5713056, -19.9732297, -23.1130357, -26.0078449, -28.6747786, -31.1309582, -33.3935052, -35.4795408, -37.4061865, -39.1905636, -40.8497934, -42.4009974, -43.8612969, -44.5713327, -44.4515862, -45.0493132, -46.236675, -47.8858329, -49.8689481, -52.0581818, -54.3256954, -56.54365, -58.584207, -60.3195275, -61.6217729, -62.3631043, -61.6984588, -60.4802042, -58.7956689, -56.7321814, -55.4947197, -54.6117875, -53.313849, -51.3529379, -48.4810878, -44.4503326, -39.0127059, -31.1548889, -21.6272013, -10.3314198, 2.83067889, 17.9573182, 34.8502725, 53.9783263, 75.5138151, 99.6290746, 126.49644, 155.728146, 188.741197, 226.30366, 268.985975, 316.955096, 370.559136, 430.146205, 496.861106, 570.074194, 648.28671, 730.272155, 817.021301, 909.217323, 1007.10933, 1110.21091, 1218.37327, 1332.24978, 1451.89962, 1574.4407, 1698.65468, 1822.69551, 1946.06914, 2067.7745, 2186.81056, 2302.17624, 2389.7882, 2477.49825, 2570.07593, 2672.29075, 2788.91225, 2937.45175, 3101.44243, 3280.19301, 3484.89409, 3710.15118, 3945.61903, 4186.15067, 4426.59918, 4661.81758, 4886.65894, 4902.90421, 5106.87187, 5381.55769, 5609.95742, 5675.06684, 5459.88171, 4847.39778, 4276.1242, 3907.9328},
1913  {95.4255111, 92.687026, 90.1009827, 87.6621965, 85.3654826, 83.2056562, 81.1775326, 79.2759271, 77.4956549, 75.8315313, 74.2783715, 72.8309908, 71.4842044, 70.2328276, 69.0716757, 67.9955639, 66.9993074, 66.0777215, 65.2256215, 64.4378226, 63.7091401, 63.0343892, 62.4083852, 61.8259433, 61.2818789, 60.771007, 60.2881431, 59.8281023, 59.3856999, 58.9557512, 58.5330714, 58.1124758, 57.6887796, 57.2567981, 56.643136, 55.9302519, 55.2026262, 54.4605328, 53.7042459, 52.9340393, 52.1501872, 51.3529634, 50.5426421, 49.7194972, 48.8838028, 48.0358328, 47.1758613, 46.3041622, 45.4210096, 44.5266775, 43.6214399, 42.7024175, 41.7731059, 40.8338476, 39.8849849, 38.9268601, 37.9598157, 36.984194, 36.0003374, 35.0085882, 34.0092889, 33.0027817, 31.989409, 30.9695133, 29.9434369, 28.9115221, 27.8741113, 26.8041463, 25.6752268, 24.5442068, 23.4132049, 22.2843397, 21.1597299, 20.0414941, 18.931751, 17.8326192, 16.7462172, 15.6746639, 14.6200777, 13.5845774, 12.5702815, 11.5793088, 10.6137777, 9.67580705, 9.12019491, 8.76530202, 8.42525019, 8.09071293, 7.75236375, 7.40087615, 7.02692364, 6.62117973, 6.17431792, 5.67701172, 5.11993464, 4.49376018, 3.78916185, 2.99681317, 2.10738762, 1.11155873, 0, -4.68731041, -9.02387942, -13.0281583, -16.7185982, -20.1136505, -23.2317664, -26.0913972, -28.7109941, -31.1090083, -33.3038911, -35.3140938, -37.1580677, -38.8542638, -40.4211337, -41.8771283, -43.2406991, -43.7427072, -43.289091, -43.6797555, -44.7643825, -46.3926542, -48.4142524, -50.6788591, -53.0361562, -55.3358257, -57.4275495, -59.1610096, -60.3858879, -60.9518664, -59.8302523, -58.071173, -55.7878229, -53.0933962, -51.3045543, -49.9327581, -48.168544, -45.7640663, -42.4714794, -38.0429376, -32.2305951, -24.0614089, -14.2334431, -2.64073834, 10.8226645, 26.2627246, 43.621071, 63.2090757, 85.1737804, 109.662227, 136.821457, 166.135354, 199.224645, 236.932505, 279.876308, 328.212408, 382.304148, 442.51487, 510.204054, 584.51251, 663.494357, 745.510126, 831.799574, 922.890898, 1019.08914, 1120.32122, 1226.68762, 1339.43448, 1458.9593, 1581.45885, 1705.50605, 1828.13255, 1949.68969, 2069.28394, 2186.02175, 2299.00957, 2384.98967, 2471.02375, 2561.80931, 2662.04387, 2776.42493, 2922.43987, 3083.46974, 3258.73067, 3459.60467, 3680.49223, 3910.72469, 4144.95597, 4377.84, 4604.0307, 4818.18201, 4906.09317, 5114.10735, 5348.47123, 5515.43152, 5521.23492, 5272.12813, 4674.35785, 4080.77889, 3750.5264},
1914  {96.8658079, 94.0016932, 91.2969507, 88.7461885, 86.3440145, 84.0850367, 81.963863, 79.9751016, 78.1133602, 76.373247, 74.7493699, 73.2363368, 71.8287558, 70.5212348, 69.3083818, 68.1848048, 67.1451118, 66.1839107, 65.2958095, 64.4754162, 63.7173388, 63.0161853, 62.3665636, 61.7630817, 61.2003476, 60.6729692, 60.1755546, 59.7027118, 59.2490486, 58.8091731, 58.3776933, 57.9492171, 57.5183526, 57.0797076, 56.4521904, 55.7219545, 54.977265, 54.2184319, 53.4457649, 52.6595737, 51.8601681, 51.047858, 50.222953, 49.385763, 48.5365977, 47.675767, 46.8035805, 45.9203481, 45.0263795, 44.1219846, 43.207473, 42.2818098, 41.3466787, 40.4024186, 39.4493684, 38.4878672, 37.5182537, 36.540867, 35.556046, 34.5641296, 33.5654567, 32.5603663, 31.5491972, 30.5322885, 29.509979, 28.4826077, 27.4505135, 26.3872765, 25.2671193, 24.1455689, 23.0246988, 21.9065827, 20.7932942, 19.6869069, 18.5894943, 17.50313, 16.4298877, 15.3718409, 14.3310633, 13.3096284, 12.3096098, 11.3330811, 10.3821159, 9.45878779, 8.91199972, 8.56311552, 8.22933041, 7.9014627, 7.57033072, 7.22675276, 6.86154716, 6.46553223, 6.02952628, 5.54434763, 5.00081459, 4.38974549, 3.70195863, 2.92827234, 2.05950493, 1.08647471, 0, -4.78291077, -9.18779278, -13.2347925, -16.9440563, -20.3357308, -23.4299623, -26.2468974, -28.8066825, -31.129464, -33.2353884, -35.1446023, -36.8772519, -38.4534839, -39.8934446, -41.2172806, -42.4451382, -42.7807946, -42.127772, -42.3527666, -43.3009888, -44.8176486, -46.7479561, -48.9371216, -51.2303553, -53.4728671, -55.5098674, -57.1865663, -58.348174, -58.8399005, -57.6559562, -55.8045844, -53.3862953, -50.5015989, -48.3770443, -46.5501221, -44.2580461, -41.2635148, -37.3292266, -32.21788, -25.6921736, -16.7036202, -6.07298652, 6.27831874, 20.4288868, 36.4573091, 53.8701822, 73.4610907, 95.4516243, 120.063373, 147.517926, 177.570302, 211.478918, 250.076227, 293.928181, 343.056622, 397.727689, 458.207517, 525.51276, 598.988466, 677.16094, 758.733832, 844.74827, 935.841684, 1032.28054, 1133.70276, 1240.03474, 1352.1016, 1470.06275, 1590.78247, 1712.98898, 1834.9134, 1955.85747, 2074.72148, 2190.40569, 2301.81036, 2384.13036, 2465.89771, 2551.93905, 2647.081, 2756.15018, 2896.73652, 3052.39447, 3222.48067, 3420.45704, 3640.09687, 3869.29628, 4102.1224, 4332.64242, 4554.92348, 4763.03275, 4960.30058, 5183.93301, 5370.96352, 5458.42562, 5383.3528, 5082.77856, 4493.7364, 3930.49077, 3607.10555},
1915  {98.4092025, 95.4174809, 92.5919478, 89.9270095, 87.4170719, 85.0565412, 82.8398235, 80.7613248, 78.8154512, 76.9966089, 75.299204, 73.7176425, 72.2463305, 70.8796742, 69.6120796, 68.4379529, 67.3517001, 66.3477272, 65.4204406, 64.5642461, 63.7735499, 63.0427582, 62.3662769, 61.7385123, 61.1538703, 60.6067572, 60.0915789, 59.6027416, 59.1346514, 58.6817144, 58.2383367, 57.7989243, 57.3578834, 56.9096201, 56.2653901, 55.5150271, 54.7505659, 53.9723561, 53.1807476, 52.3760899, 51.5587327, 50.7290257, 49.8873186, 49.0339611, 48.1693027, 47.2936933, 46.4074824, 45.5110198, 44.6046552, 43.6887381, 42.7636183, 41.8305376, 40.8889342, 39.9391384, 38.9814806, 38.016291, 37.0439002, 36.0646382, 35.0788356, 34.0868227, 33.0889297, 32.085487, 31.076825, 30.063274, 29.0451643, 28.0228263, 26.9965903, 25.9406099, 24.8296673, 23.7180803, 22.6078762, 21.5010822, 20.3997255, 19.3058335, 18.2214333, 17.1485523, 16.0892178, 15.0454569, 14.0192969, 13.0127652, 12.027889, 11.0666955, 10.131212, 9.22346574, 8.68567433, 8.34261442, 8.01497384, 7.69374004, 7.36990046, 7.03444251, 6.67835365, 6.29262131, 5.86823291, 5.39617589, 4.86743769, 4.27300575, 3.60386749, 2.85101035, 2.00542176, 1.05808917, 0, -4.83850383, -9.27815957, -13.3403166, -17.0463243, -20.4175321, -23.4752894, -26.2409455, -28.7358498, -30.9813518, -32.9988007, -34.8095461, -36.4349372, -37.8963235, -39.2150543, -40.412479, -41.5099471, -41.7079252, -40.9104937, -40.9957605, -41.8091716, -43.1961729, -45.0022103, -47.0727299, -49.2531775, -51.3889991, -53.3256406, -54.9085481, -55.9831675, -56.3949446, -55.2057449, -53.3319078, -50.8539535, -47.8524021, -45.4186616, -43.1278083, -40.2853483, -36.6685353, -32.0546232, -26.2208658, -18.9445169, -9.1303184, 2.30641696, 15.4177266, 30.2556479, 46.8722183, 64.3259014, 83.9107018, 105.92705, 130.675377, 158.456114, 189.323634, 224.125162, 263.665421, 308.446684, 358.353731, 413.548582, 474.193259, 540.908344, 613.293079, 690.446457, 771.49635, 857.248605, 948.510705, 1045.50591, 1147.46754, 1254.08332, 1365.60502, 1481.8666, 1600.63381, 1720.8423, 1842.20087, 1962.75305, 2081.16688, 2196.11036, 2306.25151, 2385.26624, 2463.0627, 2544.55693, 2634.66498, 2738.30288, 2872.82917, 3022.4224, 3186.66614, 3381.45287, 3599.91052, 3828.37161, 4060.30385, 4289.17491, 4508.4525, 4711.60431, 5024.26541, 5266.17583, 5406.27987, 5413.52179, 5256.84588, 4905.19641, 4327.51766, 3802.15674, 3479.86266},
1916  {100.067663, 96.9500297, 94.0048871, 91.2264607, 88.6089755, 86.1466565, 83.8337288, 81.6644175, 79.6329475, 77.7335439, 75.9604318, 74.3078361, 72.769982, 71.3410944, 70.0153984, 68.787119, 67.6504813, 66.5997102, 65.629031, 64.7326684, 63.9048477, 63.1397939, 62.4317319, 61.7748868, 61.1634837, 60.5917476, 60.0539035, 59.5441765, 59.0567916, 58.5859739, 58.1259483, 57.6709399, 57.2151738, 56.752875, 56.0884587, 55.3150472, 54.5280444, 53.7278348, 52.9148032, 52.0893343, 51.251813, 50.4026238, 49.5421516, 48.6707811, 47.7888969, 46.8968839, 45.9951268, 45.0840102, 44.163919, 43.2352378, 42.2983514, 41.3564603, 40.4070723, 39.4505113, 38.4871008, 37.5171647, 36.5410264, 35.5590099, 34.5714387, 33.5786365, 32.580927, 31.578634, 30.5720811, 29.561592, 28.5474903, 27.5300999, 26.5097443, 25.4613059, 24.3602781, 23.2594551, 22.1608101, 21.0663159, 19.9779455, 18.8976719, 17.8274679, 16.7693066, 15.7251608, 14.6970036, 13.6868079, 12.6965465, 11.7281926, 10.7837189, 9.86509857, 8.97430441, 8.44573855, 8.10816718, 7.78636091, 7.47150474, 7.15478364, 6.82738261, 6.48048661, 6.10528064, 5.69294967, 5.23467869, 4.72165268, 4.14505663, 3.4960755, 2.7658943, 1.94569799, 1.02667156, 0, -4.83528792, -9.26103054, -13.2990277, -16.9710792, -20.298985, -23.3045449, -26.0095587, -28.4358262, -30.6051474, -32.5393221, -34.2601501, -35.7894312, -37.1489654, -38.3605524, -39.4459921, -40.4270844, -40.5209291, -39.6343688, -39.6093583, -40.2952617, -41.5414431, -43.1972666, -45.1120964, -47.1352966, -49.1162313, -50.9042646, -52.3487607, -53.2990836, -53.6045976, -52.4214694, -50.5464328, -48.0368111, -44.9499276, -42.2205014, -39.4671579, -36.0745503, -31.8367835, -26.5479618, -20.0021901, -11.9935728, -1.42497856, 10.7470062, 24.5539045, 40.0272395, 57.1985343, 74.747724, 94.3958166, 116.512232, 141.466391, 169.627713, 201.32621, 237.018876, 277.474376, 323.129844, 373.745538, 429.38562, 490.114252, 556.163911, 627.392189, 703.473061, 783.958499, 869.433132, 960.914686, 1058.58998, 1161.23788, 1268.28354, 1379.35367, 1493.92567, 1610.73786, 1728.94665, 1849.73982, 1969.92985, 2087.96993, 2202.31329, 2311.41314, 2387.83631, 2462.39398, 2540.01096, 2625.61204, 2724.12204, 2852.24237, 2995.27014, 3153.08302, 3344.09923, 3560.85749, 3788.17128, 4018.96557, 4246.16535, 4462.69557, 4661.48123, 5084.07846, 5344.36978, 5441.37587, 5374.1174, 5141.61502, 4742.88942, 4176.96126, 3690.75814, 3367.01932},
1917  {101.85316, 98.6149803, 95.5546814, 92.6663431, 89.9440457, 87.3818693, 84.9738942, 82.7142006, 80.5968688, 78.6159789, 76.7656113, 75.039846, 73.4327635, 71.9384438, 70.5509673, 69.2644141, 68.0728645, 66.9703988, 65.951097, 65.0090395, 64.1383066, 63.3329783, 62.5871351, 61.894857, 61.2502243, 60.6473173, 60.0802161, 59.5430011, 59.0297524, 58.5345502, 58.0514749, 57.5746066, 57.0980255, 56.6158119, 55.9271198, 55.1275924, 54.3152162, 53.4903969, 52.6535406, 51.8050533, 50.9453409, 50.0748093, 49.1938646, 48.3029126, 47.4023594, 46.492611, 45.5740732, 44.647152, 43.7122534, 42.7697834, 41.8201479, 40.8674372, 39.908293, 38.9430415, 37.9720088, 36.995521, 36.013904, 35.0274842, 34.0365875, 33.04154, 32.0426678, 31.0402971, 30.0347539, 29.0263643, 28.0154544, 27.0023503, 25.9873781, 24.9465239, 23.8563585, 22.7674071, 21.6815736, 20.600762, 19.5268762, 18.4618202, 17.4074979, 16.3658133, 15.3386704, 14.327973, 13.3356252, 12.3635308, 11.4135939, 10.4877184, 9.58780818, 8.71576727, 8.1967122, 7.86414228, 7.54767205, 7.23871657, 6.92869094, 6.60901024, 6.27108953, 5.9063439, 5.50618844, 5.06203821, 4.5653083, 4.00741379, 3.37976976, 2.67379129, 1.88089345, 0.992491327, 0, -4.75446141, -9.10245642, -13.0652227, -16.663998, -19.9200198, -22.8545259, -25.488754, -27.8439417, -29.9413266, -31.8021465, -33.447639, -34.8990418, -36.1775925, -37.3045288, -38.3010883, -39.1885088, -39.2166364, -38.2965098, -38.1941811, -38.7655897, -39.866675, -41.3533766, -43.0816338, -44.9073863, -46.6865735, -48.2751347, -49.5290096, -50.3041376, -50.4564582, -49.2449806, -47.3414489, -44.7808817, -41.5982975, -38.5736587, -35.369512, -31.4497522, -26.6259147, -20.7095348, -13.5121479, -4.84528947, 6.32892423, 19.09102, 33.4632717, 49.4679535, 67.1273391, 84.8951454, 104.754343, 127.119345, 152.404564, 181.024415, 213.508885, 250.015554, 291.277381, 337.675683, 388.873848, 444.857597, 505.612655, 571.052567, 641.251637, 716.362908, 796.281096, 881.434404, 973.070352, 1071.35748, 1174.63607, 1282.0856, 1392.75648, 1505.79473, 1620.81961, 1737.18266, 1857.27513, 1976.94127, 2094.48044, 2208.19202, 2316.37537, 2391.27956, 2463.76683, 2538.64914, 2620.73844, 2714.84667, 2836.5007, 2972.65428, 3123.52725, 3309.90318, 3523.8621, 3748.91585, 3977.57286, 4202.34161, 4415.73053, 4610.24808, 5125.83054, 5402.04879, 5463.20712, 5333.6098, 5037.56112, 4599.36537, 4043.32682, 3591.27635, 3266.79711},
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1928  {126.503785, 124.022677, 121.549989, 119.086836, 116.63433, 114.193587, 111.765718, 109.351838, 106.953061, 104.570499, 102.205268, 99.85848, 97.5312493, 95.2246893, 92.9399138, 90.6780364, 88.4401708, 86.2274306, 84.0409295, 81.8817812, 79.7510992, 77.6499973, 75.5795891, 73.5409883, 71.5353085, 69.5636634, 67.6271666, 65.7269318, 63.8640727, 62.0397029, 60.254936, 58.5108858, 56.8086659, 55.1493899, 53.6378325, 52.2210966, 50.8450388, 49.507409, 48.2059568, 46.9384317, 45.7025836, 44.496162, 43.3169165, 42.1625969, 41.0309529, 39.919734, 38.8266899, 37.7495703, 36.6861248, 35.6341032, 34.591255, 33.4072235, 32.2310754, 31.0637711, 29.9062708, 28.7595349, 27.6245237, 26.5021974, 25.3935165, 24.2994413, 23.2209319, 22.1589489, 21.1144524, 20.0884028, 19.0817604, 18.0954855, 17.1305384, 16.2007712, 15.3197262, 14.4617757, 13.6270443, 12.8156566, 12.0277372, 11.2634107, 10.5228016, 9.80603469, 9.11323446, 8.44452552, 7.80003248, 7.17987995, 6.58419251, 6.01309477, 5.46671133, 4.9451668, 4.61095508, 4.37960089, 4.16467742, 3.96104006, 3.76354422, 3.5670453, 3.36639872, 3.15645987, 2.93208416, 2.68812699, 2.41944377, 2.1208899, 1.78732079, 1.41359184, 0.994558452, 0.525076039, 0, -1.8967898, -3.77707958, -5.62863254, -7.43921186, -9.19658075, -10.8885024, -12.50274, -14.0270567, -15.4492158, -16.7569803, -17.9381136, -18.9803788, -19.8715392, -20.5993578, -21.1515979, -21.5160226, -21.4658168, -20.9580894, -20.4659598, -19.9312102, -19.2956225, -18.500979, -17.4890616, -16.2016525, -14.5805337, -12.5674874, -10.1042955, -7.13274016, -3.59460349, 0.752428998, 5.71497661, 11.2960283, 17.498573, 23.8073511, 30.4844758, 37.9302601, 46.3031674, 55.7616614, 66.4642055, 78.5692634, 92.5072184, 108.081856, 125.398438, 144.562226, 165.678483, 188.287625, 213.200969, 240.66499, 270.926158, 304.230948, 340.884472, 381.002892, 425.074997, 473.339434, 525.524141, 581.586352, 641.483302, 704.401139, 771.243431, 843.754938, 924.297847, 1010.31965, 1100.1888, 1192.97499, 1288.93615, 1387.78479, 1489.32961, 1593.30804, 1699.10488, 1806.30442, 1916.74617, 2027.4122, 2137.1061, 2244.63149, 2348.79198, 2439.20179, 2526.15126, 2610.74132, 2694.07294, 2777.24705, 2859.18494, 2944.62034, 3035.58835, 3149.66452, 3282.7325, 3424.2008, 3570.27684, 3717.16806, 3861.08189, 3998.22577, 4659.25912, 4960.54376, 4976.45474, 4781.36713, 4449.65598, 4055.69634, 3673.86328, 3073.16342, 2828.78909},
1929  {128.77986, 126.511111, 124.220518, 121.910385, 119.583015, 117.240711, 114.885775, 112.520511, 110.147222, 107.768209, 105.385778, 103.002229, 100.619867, 98.2409934, 95.8679123, 93.5029261, 91.1483379, 88.8064505, 86.4795669, 84.16999, 81.8800228, 79.6119681, 77.3681289, 75.1508082, 72.9623088, 70.8049337, 68.6809858, 66.5927681, 64.5425835, 62.5327348, 60.5655251, 58.6432573, 56.7682342, 54.9427589, 53.3231651, 51.8315005, 50.3879615, 48.9898522, 47.6344772, 46.3191406, 45.0411469, 43.7978004, 42.5864053, 41.4042661, 40.2486871, 39.1169725, 38.0064268, 36.9143542, 35.8380591, 34.7748459, 33.7220188, 32.4976365, 31.2821348, 30.0767036, 28.8825329, 27.7008129, 26.5327334, 25.3794846, 24.2422564, 23.1222389, 22.0206221, 20.938596, 19.8773507, 18.8380761, 17.8219624, 16.8301994, 15.8639774, 14.9468306, 14.1017571, 13.2838632, 12.4928903, 11.7285802, 10.9906742, 10.2789139, 9.59304088, 8.93279658, 8.29792257, 7.68816036, 7.10325148, 6.54293747, 6.00695984, 5.49506013, 5.00697986, 4.54246056, 4.23778559, 4.02155359, 3.82072207, 3.6306015, 3.44650236, 3.26373514, 3.07761032, 2.88343838, 2.67652981, 2.45219507, 2.20574467, 1.93248906, 1.62773875, 1.2868042, 0.90499591, 0.477624348, 0, -2.15041158, -4.21837964, -6.19540909, -8.07300485, -9.84267184, -11.495915, -13.0242392, -14.4191494, -15.6721504, -16.7747473, -17.718445, -18.4947483, -19.0951622, -19.5111915, -19.7343413, -19.7561164, -19.3839191, -18.5829541, -17.7611487, -16.8705573, -15.8632343, -14.691234, -13.3066109, -11.6614192, -9.7077133, -7.39754762, -4.68297648, -1.51605424, 2.15116473, 6.42065301, 11.2665194, 16.7205016, 22.8143369, 29.2027539, 36.1059947, 43.8448372, 52.5641217, 62.4086887, 73.5233784, 86.0530312, 100.450504, 116.458877, 134.162725, 153.646625, 174.995152, 197.422519, 222.101257, 249.333534, 279.421518, 312.667375, 349.638048, 390.047316, 434.038067, 481.737867, 533.242999, 588.66379, 648.110568, 711.426965, 779.050619, 851.710108, 930.586791, 1014.41032, 1102.56014, 1194.55783, 1290.16583, 1389.03602, 1490.92732, 1595.51938, 1702.09928, 1810.17617, 1921.28494, 2032.59731, 2142.92119, 2251.06449, 2355.83512, 2448.4894, 2537.27474, 2622.88692, 2706.02177, 2787.37508, 2863.41997, 2941.89007, 3025.29091, 3132.46405, 3259.44869, 3395.47732, 3536.92944, 3680.18458, 3821.62225, 3957.62197, 4600.6328, 4896.62427, 4918.28155, 4738.28982, 4429.33423, 4064.09996, 3715.27217, 3158.0479, 2874.32496},
1930  {131.136568, 129.084043, 126.979161, 124.825416, 122.626302, 120.385313, 118.105944, 115.791688, 113.446039, 111.072492, 108.67454, 106.255678, 103.819399, 101.369198, 98.9085691, 96.4410057, 93.9700023, 91.4990527, 89.0316512, 86.5712917, 84.1214684, 81.6856753, 79.2674064, 76.8701559, 74.4974178, 72.1526861, 69.8394549, 67.5612184, 65.3214704, 63.1237052, 60.9714167, 58.8680991, 56.8172464, 54.8223527, 53.0907643, 51.5197615, 50.0041742, 48.540881, 47.1267606, 45.7586917, 44.4335529, 43.148223, 41.8995805, 40.6845041, 39.4998726, 38.3425644, 37.2094584, 36.0974332, 35.0033674, 33.9241397, 32.8566287, 31.5876925, 30.3287832, 29.0813323, 27.8467713, 26.6265318, 25.4220452, 24.234743, 23.0660568, 21.917418, 20.7902581, 19.6860087, 18.6061012, 17.5519671, 16.525038, 15.5267453, 14.5585205, 13.6542829, 12.8471717, 12.0716148, 11.3269378, 10.6124661, 9.92752505, 9.27144025, 8.64353708, 8.04314102, 7.46957752, 6.92217202, 6.40024998, 5.90313687, 5.43015812, 4.98063919, 4.55390555, 4.14928264, 3.87481024, 3.67316999, 3.48573685, 3.30830828, 3.13668176, 2.96665475, 2.79402471, 2.6145891, 2.4241454, 2.21849106, 1.99342355, 1.74474034, 1.46823889, 1.15971667, 0.814971136, 0.429799758, 0, -2.45936011, -4.75857448, -6.89372931, -8.86091079, -10.6562051, -12.2756985, -13.7154771, -14.9716271, -16.0402348, -16.9173862, -17.5991677, -18.0816654, -18.3609654, -18.4331541, -18.2943175, -17.9405419, -17.2074093, -16.0680765, -14.8816752, -13.6098978, -12.2144367, -10.6569844, -8.89923326, -6.90287569, -4.62960412, -2.04111099, 0.90091129, 4.2347703, 7.99877361, 12.1529255, 16.8425481, 22.12944, 28.0753995, 34.5202494, 41.6367761, 49.6569599, 58.7091922, 68.9218642, 80.4233675, 93.3420933, 108.11752, 124.472274, 142.47388, 162.189867, 183.687759, 205.866042, 230.253545, 257.210054, 287.095358, 320.269243, 357.579156, 398.301195, 442.189868, 489.248727, 539.98978, 594.696748, 653.653355, 717.445355, 785.985792, 858.858216, 935.928354, 1017.34008, 1103.55814, 1194.60068, 1289.72917, 1388.55239, 1490.83635, 1596.23058, 1703.80826, 1812.9686, 1924.77863, 2036.71315, 2147.59402, 2256.24315, 2361.48241, 2456.15684, 2546.55938, 2633.00612, 2715.81313, 2795.29652, 2865.61257, 2937.34372, 3013.44595, 3114.10013, 3235.44409, 3366.43866, 3503.58051, 3643.36635, 3782.29285, 3916.85671, 4508.52589, 4788.47916, 4821.07421, 4670.66873, 4401.62042, 4078.28696, 3765.02606, 3266.24815, 2934.98504},
1931  {133.721218, 131.882962, 129.961276, 127.960876, 125.88648, 123.742803, 121.534561, 119.266471, 116.94325, 114.569613, 112.150277, 109.689959, 107.193375, 104.665242, 102.110275, 99.5331905, 96.9387059, 94.3315371, 91.7164006, 89.0980127, 86.4810897, 83.8703482, 81.2705043, 78.6862747, 76.1223755, 73.5835233, 71.0744344, 68.5998251, 66.1644119, 63.7729112, 61.4300393, 59.1405127, 56.9090476, 54.7403606, 52.8947828, 51.2438468, 49.6560126, 48.1277014, 46.6553344, 45.2353328, 43.8641178, 42.5381106, 41.2537323, 40.0074041, 38.7955473, 37.6145829, 36.4609323, 35.3310166, 34.221257, 33.1280746, 32.0478907, 30.7351317, 29.4334595, 28.1445412, 26.8700441, 25.6116353, 24.370982, 23.1497512, 21.9496103, 20.7722262, 19.6192663, 18.4923976, 17.3932873, 16.3236026, 15.2850107, 14.2791786, 13.3077736, 12.4146714, 11.6427343, 10.9065774, 10.2051317, 9.53732819, 8.90209781, 8.29837151, 7.72508022, 7.18115492, 6.66552654, 6.17712605, 5.71488439, 5.27773251, 4.86460137, 4.47442193, 4.10612512, 3.75864191, 3.51112719, 3.32071252, 3.14356528, 2.97601298, 2.81438316, 2.65500335, 2.49420108, 2.32830388, 2.15363928, 1.96653482, 1.76331803, 1.54031643, 1.29385757, 1.02026896, 0.715878139, 0.377012643, 0, -2.686425, -5.14541502, -7.37725671, -9.38223673, -11.1606417, -12.7127584, -14.0388734, -15.1392733, -16.0142448, -16.6640746, -17.0890493, -17.2894557, -17.2655803, -17.0177097, -16.5461308, -15.85113, -14.744669, -13.2001306, -11.6437754, -10.0355344, -8.33533899, -6.50312043, -4.49880994, -2.28233881, 0.18636173, 2.94736041, 6.04072597, 9.50652716, 13.3848327, 17.6110655, 22.3683102, 27.7280295, 33.7616859, 40.3865805, 47.7512564, 56.0453667, 65.3866222, 75.892734, 87.681413, 100.87037, 115.86436, 132.406689, 150.558906, 170.382564, 191.93921, 213.960107, 238.169666, 264.962011, 294.731263, 327.871546, 365.422822, 406.344015, 450.077646, 496.529387, 546.550498, 600.567689, 659.00767, 723.029294, 792.160732, 865.13145, 940.881476, 1020.51306, 1105.18015, 1195.22975, 1289.64166, 1388.02325, 1490.18066, 1595.77281, 1703.72974, 1813.3938, 1925.68519, 2038.12563, 2149.51128, 2258.63827, 2364.30278, 2460.15098, 2551.41649, 2638.18293, 2720.53394, 2798.55317, 2865.07398, 2932.26379, 3003.31351, 3098.75015, 3214.90238, 3340.87553, 3473.35943, 3609.04396, 3744.61896, 3876.77428, 4362.30746, 4611.09989, 4666.48838, 4571.80973, 4370.40076, 4105.59826, 3820.73906, 3380.67922, 3005.28501},
1932  {136.633402, 135.000954, 133.25366, 131.397489, 129.43841, 127.382393, 125.235408, 123.003424, 120.69241, 118.308338, 115.857175, 113.344893, 110.777459, 108.160845, 105.501019, 102.803952, 100.075612, 97.3219694, 94.548994, 91.7626554, 88.968923, 86.1737665, 83.3831554, 80.6030595, 77.8394484, 75.0982916, 72.3855587, 69.7072194, 67.0692433, 64.4776, 61.9382592, 59.4571904, 57.0403632, 54.6937473, 52.7330362, 51.0028231, 49.3439781, 47.7524198, 46.2240667, 44.7548372, 43.3406499, 41.9774231, 40.6610754, 39.3875252, 38.1526911, 36.9524914, 35.7828447, 34.6396695, 33.5188841, 32.4164072, 31.3281571, 29.9752976, 28.6344581, 27.3075131, 25.9963373, 24.7028054, 23.4287919, 22.1761715, 20.9468188, 19.7426084, 18.5654149, 17.417113, 16.2995772, 15.2146822, 14.1643027, 13.1503132, 12.1745883, 11.2894899, 10.5461674, 9.84236967, 9.17669834, 8.54775518, 7.95414194, 7.39446036, 6.86731219, 6.37129916, 5.90502303, 5.46708553, 5.05608842, 4.67063344, 4.30932233, 3.97075684, 3.65353871, 3.35626968, 3.13001021, 2.94602928, 2.77496538, 2.61371787, 2.45918611, 2.30826946, 2.15786727, 2.00487891, 1.84620373, 1.67874109, 1.49939036, 1.30505089, 1.09262204, 0.859003161, 0.601093625, 0.315792785, 0, -2.72902945, -5.19073252, -7.38825799, -9.32475461, -11.0033711, -12.4272563, -13.599559, -14.5234278, -15.2020115, -15.638459, -15.8359189, -15.7975401, -15.5264712, -15.0258611, -14.2988585, -13.3486122, -11.8818244, -9.85929452, -7.95470484, -6.1076799, -4.25784422, -2.34482232, -0.308238743, 1.912282, 4.37711539, 7.1466369, 10.281222, 13.8412462, 17.8870849, 22.5272113, 27.7562675, 33.6201994, 40.1649534, 47.193592, 54.8735031, 63.4368437, 73.0024249, 83.6890581, 95.6155545, 108.900725, 123.904857, 140.431793, 158.553099, 178.340342, 199.865088, 221.939402, 246.209226, 273.061001, 302.88117, 336.056174, 373.649127, 414.542753, 458.037549, 503.998305, 553.441905, 606.867965, 664.776102, 728.537232, 797.581648, 870.389139, 945.749884, 1024.83926, 1108.76331, 1197.87578, 1291.25577, 1388.56746, 1489.67205, 1594.28479, 1701.39861, 1810.41504, 1922.76674, 2035.51161, 2147.34806, 2256.97452, 2363.08942, 2458.87097, 2549.91787, 2636.30859, 2718.12163, 2795.43547, 2861.33652, 2927.5567, 2997.17109, 3089.30748, 3200.68673, 3321.34113, 3448.32597, 3578.69659, 3709.50829, 3837.8164, 4152.31631, 4353.15272, 4446.83144, 4439.85829, 4338.73907, 4149.9796, 3880.0857, 3488.05054, 3082.30861},
1933  {139.66004, 138.213955, 136.624909, 134.899963, 133.046175, 131.070606, 128.980315, 126.78236, 124.483803, 122.091702, 119.613117, 117.055106, 114.424731, 111.72905, 108.975123, 106.170009, 103.320768, 100.43446, 97.518143, 94.5788775, 91.6237228, 88.6597385, 85.693984, 82.7335189, 79.7854026, 76.8566947, 73.9544546, 71.0857419, 68.257616, 65.4771365, 62.7513629, 60.0873546, 57.4921712, 54.9728722, 52.8894459, 51.0650639, 49.3186561, 47.6458288, 46.0421882, 44.5033408, 43.0248926, 41.6024501, 40.2316196, 38.9080072, 37.6272193, 36.3848622, 35.1765422, 33.9978655, 32.8444385, 31.7118673, 30.5957585, 29.196777, 27.8118641, 26.4430197, 25.092244, 23.7615369, 22.4528984, 21.1683286, 19.9098276, 18.6793953, 17.4790318, 16.3107371, 15.1765112, 14.0783543, 13.0182662, 11.9982471, 11.020297, 10.1433306, 9.42489628, 8.74961162, 8.1157871, 7.52173321, 6.96576043, 6.44617923, 5.96130011, 5.50943352, 5.08888997, 4.69797992, 4.33501385, 3.99830225, 3.6861556, 3.39688437, 3.12879905, 2.88021011, 2.67656813, 2.50204269, 2.34047716, 2.18930127, 2.04594475, 1.90783734, 1.77240877, 1.63708876, 1.49930706, 1.35649339, 1.20607747, 1.04548906, 0.872157868, 0.683513636, 0.476986092, 0.25000497, 0, -2.7115359, -5.12625013, -7.24957975, -9.0869618, -10.6438333, -11.9256314, -12.9377931, -13.6857555, -14.1749556, -14.4108304, -14.398817, -14.1443526, -13.652874, -12.9298184, -11.9806229, -10.8107244, -9.01442867, -6.53843962, -4.31813448, -2.27085069, -0.313925728, 1.63530295, 3.65949789, 5.84132162, 8.26343668, 11.0085056, 14.1591909, 17.7981552, 22.008061, 27.094278, 32.8351022, 39.2463841, 46.343974, 53.7939394, 61.7870221, 70.6072394, 80.3753766, 91.212219, 103.238552, 116.57516, 131.520672, 147.963904, 165.990846, 185.687489, 207.139823, 229.336006, 253.734318, 280.695206, 310.579119, 343.746505, 381.198638, 421.871907, 465.022503, 510.50843, 559.416392, 612.281429, 669.638585, 732.921842, 801.562996, 874.013181, 949.165003, 1027.99093, 1111.31883, 1199.41238, 1291.57928, 1387.56601, 1487.32133, 1590.64418, 1696.59194, 1804.64145, 1916.77856, 2029.58513, 2141.66949, 2251.64, 2358.105, 2453.67949, 2544.4635, 2630.56374, 2712.08688, 2789.13962, 2855.38137, 2921.66428, 2990.85816, 3080.25186, 3187.00765, 3302.27989, 3423.53123, 3548.22435, 3673.82193, 3797.78662, 3940.77142, 4092.90931, 4224.20718, 4304.67192, 4304.31045, 4193.12965, 3941.13643, 3599.93455, 3179.96684},
1934  {142.743311, 141.455381, 140.001623, 138.389926, 136.628178, 134.724267, 132.686082, 130.52151, 128.238439, 125.844758, 123.348355, 120.757117, 118.078934, 115.321693, 112.493281, 109.601589, 106.654502, 103.659911, 100.625701, 97.5597632, 94.4699838, 91.3642515, 88.2504544, 85.1364806, 82.0302181, 78.9395552, 75.8723799, 72.8365804, 69.8400447, 66.8906611, 63.9963175, 61.1649022, 58.4043033, 55.7224088, 53.5058664, 51.5652176, 49.706452, 47.925166, 46.2169563, 44.5774196, 43.0021526, 41.4867518, 40.026814, 38.6179357, 37.2557137, 35.9357445, 34.6536248, 33.4049513, 32.1853206, 30.9903294, 29.8155742, 28.3610292, 26.924322, 25.5074579, 24.1124421, 22.7412797, 21.3959759, 20.0785358, 18.7909647, 17.5352676, 16.3134499, 15.1275165, 13.9794728, 12.8713238, 11.8050747, 10.7827308, 9.80629708, 8.93855805, 8.24083877, 7.58979184, 6.98348235, 6.41997541, 5.89733611, 5.41362956, 4.96692084, 4.55527507, 4.17675733, 3.82943273, 3.51136637, 3.22062334, 2.95526875, 2.71336769, 2.49298526, 2.29218656, 2.11486072, 1.95603831, 1.81067994, 1.67666168, 1.55185965, 1.43414993, 1.32140863, 1.21151185, 1.10233567, 0.991756203, 0.877649543, 0.757891788, 0.630359034, 0.492927381, 0.343472926, 0.179871766, 0, -2.64561941, -4.97519236, -6.99577981, -8.71444274, -10.1382421, -11.274239, -12.1294943, -12.711069, -13.026024, -13.0814205, -12.8843192, -12.4417813, -11.7608677, -10.8486394, -9.71215736, -8.35848255, -6.28507722, -3.42620255, -0.941583304, 1.27091927, 3.31344392, 5.28812938, 7.29711442, 9.44253777, 11.8265382, 14.5512544, 17.7188252, 21.4313893, 25.7910855, 31.2763803, 37.4750977, 44.3764783, 51.9697624, 59.8045674, 68.0899452, 77.1521805, 87.1124008, 98.0917333, 110.211305, 123.592244, 138.456339, 154.793419, 172.704917, 192.292266, 213.656899, 236.030881, 260.602353, 287.690091, 317.612867, 350.689457, 387.776372, 427.997415, 470.672278, 515.690068, 564.102446, 616.439108, 673.229752, 735.83384, 803.762721, 875.622547, 950.588644, 1029.24802, 1112.00598, 1198.97603, 1289.77733, 1384.25594, 1482.48051, 1584.35483, 1688.96653, 1795.86492, 1907.48622, 2020.04865, 2132.10219, 2242.19682, 2348.8825, 2444.46766, 2535.30422, 2621.50253, 2703.17296, 2780.42589, 2847.47029, 2914.25215, 2983.411, 3070.24085, 3172.37216, 3282.16267, 3397.50647, 3516.29765, 3636.4303, 3755.79849, 3754.19944, 3864.14746, 4026.06174, 4180.36145, 4267.46579, 4227.79394, 4001.76508, 3715.55787, 3303.8151},
1935  {145.807159, 144.639321, 143.290345, 141.768569, 140.082329, 138.239964, 136.24981, 134.120207, 131.85949, 129.475998, 126.978068, 124.374037, 121.672244, 118.881026, 116.00872, 113.063664, 110.054196, 106.988652, 103.875371, 100.72269, 97.5389469, 94.3324788, 91.1116234, 87.8847182, 84.6601009, 81.4461089, 78.2510798, 75.0833512, 71.9512606, 68.8631456, 65.8273436, 62.8521923, 59.9460292, 57.1171918, 54.7532822, 52.6650283, 50.6585997, 48.7300261, 46.8753371, 45.0905625, 43.3717319, 41.714875, 40.1160214, 38.571201, 37.0764433, 35.627778, 34.2212349, 32.8528436, 31.5186338, 30.2146352, 28.9368775, 27.413408, 25.9140482, 24.4406369, 22.9950133, 21.5790162, 20.1944848, 18.843258, 17.5271749, 16.2480745, 15.0077958, 13.8081777, 12.6510594, 11.5382799, 10.4716781, 9.45309305, 8.4843638, 7.62844599, 6.94682791, 6.31530006, 5.73173953, 5.19402338, 4.70002869, 4.24763252, 3.83471195, 3.45914406, 3.1188059, 2.81157456, 2.53532711, 2.28794062, 2.06729216, 1.8712588, 1.69771761, 1.54454567, 1.40018574, 1.26743047, 1.14918594, 1.04363538, 0.948962011, 0.863349075, 0.784979803, 0.712037429, 0.642705187, 0.57516631, 0.507604032, 0.438201585, 0.365142204, 0.286609121, 0.200785571, 0.105854786, 0, -2.55323509, -4.78000843, -6.68831698, -8.28615769, -9.58152751, -10.5824234, -11.2968423, -11.7327811, -11.8982369, -11.8012065, -11.4496869, -10.851675, -10.0151679, -8.94816244, -7.65865557, -6.15464426, -3.87988931, -0.761782494, 1.91543079, 4.26466135, 6.39881998, 8.43081746, 10.4735646, 12.6399722, 15.0429511, 17.795412, 21.0102658, 24.8004232, 29.278795, 35.0129549, 41.4944411, 48.6997657, 56.6054404, 64.7226689, 73.2606172, 82.5525339, 92.7145234, 103.86269, 116.113139, 129.581974, 144.393931, 160.653856, 178.476166, 197.975276, 219.265602, 241.869057, 266.640685, 293.843028, 323.738628, 356.590025, 393.018339, 432.489275, 474.517615, 519.070329, 567.037596, 618.895095, 675.118503, 736.856049, 803.758007, 874.740957, 949.374742, 1027.77022, 1109.8484, 1195.5496, 1284.8469, 1377.69831, 1474.33492, 1574.78553, 1678.07788, 1783.80596, 1894.56687, 2006.48949, 2118.1283, 2228.03776, 2334.77234, 2431.02213, 2522.67206, 2609.74269, 2692.25458, 2770.22829, 2838.00007, 2905.06432, 2973.87772, 3057.89297, 3155.21416, 3259.36371, 3368.67478, 3481.48056, 3596.11422, 3710.90893, 3627.60946, 3711.32412, 3888.49355, 4085.5584, 4228.95929, 4245.13688, 4060.5318, 3835.78428, 3464.224},
1936  {148.599376, 147.49315, 146.203881, 144.739666, 143.1086, 141.318782, 139.378308, 137.295275, 135.077779, 132.733918, 130.271789, 127.699487, 125.025111, 122.256757, 119.402522, 116.470502, 113.468795, 110.405497, 107.288705, 104.126517, 100.927028, 97.6983359, 94.4485375, 91.1857295, 87.9180088, 84.6534723, 81.4002166, 78.1663388, 74.9599357, 71.7891041, 68.6619408, 65.5865428, 62.5710068, 59.6234296, 57.0840858, 54.7879965, 52.5661903, 50.4159842, 48.3346953, 46.3196406, 44.3681372, 42.4775022, 40.6450525, 38.8681053, 37.1439775, 35.4699862, 33.8434485, 32.2616814, 30.7220019, 29.2217272, 27.7581741, 26.1436821, 24.5645559, 23.0221224, 21.5177087, 20.0526418, 18.6282488, 17.2458565, 15.906792, 14.6123823, 13.3639544, 12.1628354, 11.0103521, 9.90783164, 8.856601, 7.85798718, 6.91331716, 6.07844915, 5.40793206, 4.79062641, 4.22432417, 3.7068173, 3.23589778, 2.80935757, 2.42498864, 2.08058296, 1.77393248, 1.50282919, 1.26506505, 1.05843202, 0.880722074, 0.729727177, 0.603239297, 0.499050401, 0.403195969, 0.319593494, 0.252301773, 0.199494293, 0.159344542, 0.130026008, 0.109712179, 0.0965765436, 0.0887925885, 0.0845338021, 0.0819736721, 0.0792856865, 0.0746433332, 0.0662201, 0.0521894748, 0.0307249455, 0, -2.55564835, -4.76886784, -6.64852686, -8.20349381, -9.44263711, -10.3748251, -11.0089263, -11.353809, -11.4183417, -11.2113927, -10.7418304, -10.0185233, -9.05033967, -7.84614803, -6.41481673, -4.76521417, -2.40544438, 0.727162019, 3.49105528, 5.98467366, 8.3064554, 10.5548388, 12.828262, 15.2251634, 17.8439811, 20.7831535, 24.1411187, 28.0163151, 32.5071809, 38.0050349, 44.2080452, 51.126786, 58.7718314, 66.8885745, 75.62018, 85.1805273, 95.6597448, 107.147961, 119.735304, 133.511902, 148.412108, 164.729235, 182.583892, 202.096683, 223.388216, 246.348436, 271.386275, 298.680005, 328.407897, 360.748223, 395.893915, 433.990664, 475.035983, 519.17937, 566.880632, 618.460253, 674.238716, 734.915416, 800.345813, 869.972009, 943.835095, 1021.55514, 1102.55958, 1186.63213, 1274.16024, 1365.25424, 1460.45998, 1560.0007, 1662.50272, 1767.49566, 1876.84354, 1987.38247, 2097.83401, 2206.91973, 2313.36121, 2412.12011, 2506.61787, 2596.51604, 2681.47616, 2761.15977, 2828.67221, 2894.60204, 2961.42059, 3041.4496, 3133.26129, 3231.32359, 3334.41395, 3441.30982, 3550.78866, 3661.62792, 3677.95512, 3782.06182, 3931.18628, 4082.56674, 4193.44146, 4221.04869, 4122.62667, 3977.29319, 3718.08175},
1937  {151.484769, 150.39826, 149.133657, 147.698492, 146.100296, 144.346599, 142.444934, 140.402831, 138.227821, 135.927436, 133.509207, 130.980664, 128.349341, 125.622766, 122.808472, 119.913991, 116.946852, 113.914588, 110.824729, 107.684806, 104.502352, 101.284897, 98.039972, 94.7751086, 91.497838, 88.2156912, 84.9361996, 81.6668944, 78.4153066, 75.1889676, 71.9954086, 68.8421607, 65.7367551, 62.6867231, 59.9649692, 57.4407562, 54.9801573, 52.5820917, 50.2454788, 47.9692379, 45.7522883, 43.5935494, 41.4919405, 39.446381, 37.45579, 35.5190871, 33.6351914, 31.8030224, 30.0214993, 28.2895415, 26.6060683, 24.8865959, 23.2152548, 21.5927723, 20.0198758, 18.4972926, 17.02575, 15.6059754, 14.2386961, 12.9246396, 11.664533, 10.4591038, 9.30907936, 8.21518694, 7.17815392, 6.19870764, 5.27757544, 4.46163018, 3.79663677, 3.1881509, 2.6339085, 2.13164549, 1.67909777, 1.27400127, 0.914091909, 0.597105599, 0.320778261, 0.0828458123, -0.118955829, -0.286890746, -0.42322302, -0.530216733, -0.610135968, -0.665244806, -0.708966023, -0.737749645, -0.747911583, -0.741353797, -0.719978248, -0.685686897, -0.640381706, -0.585964635, -0.524337646, -0.457402699, -0.387061756, -0.315216778, -0.243769726, -0.174622561, -0.109677244, -0.050835737, 0, -2.42626594, -4.51940952, -6.28746317, -7.73845929, -8.88043031, -9.72140864, -10.2694267, -10.5325169, -10.5187117, -10.2360435, -9.69254461, -8.89624759, -7.8551848, -6.57738867, -5.07089161, -3.34372603, -0.995557218, 2.02392058, 4.78298736, 7.36111794, 9.83778716, 12.2924698, 14.8046408, 17.4537749, 20.3193469, 23.4808317, 27.0177042, 31.009439, 35.5355111, 40.7887205, 46.6936642, 53.2958195, 60.6406637, 68.6948074, 77.5431612, 87.2916668, 98.0094616, 109.765683, 122.629467, 136.669953, 151.703127, 168.128323, 186.064206, 205.629442, 226.942699, 250.182816, 275.393243, 302.677603, 332.139519, 363.882614, 397.707528, 434.391178, 474.394194, 518.03941, 565.368335, 616.548788, 671.748589, 731.236257, 795.056024, 863.142263, 935.931843, 1012.67078, 1092.44216, 1174.92015, 1260.78054, 1350.23939, 1444.07027, 1542.63378, 1644.24614, 1748.37999, 1856.13106, 1965.09917, 2074.19512, 2182.32969, 2288.41367, 2390.07456, 2487.82727, 2580.90341, 2668.53461, 2749.95248, 2816.61824, 2880.71416, 2944.80202, 3020.47313, 3106.71508, 3198.75317, 3295.76312, 3396.92063, 3501.40143, 3608.38122, 3735.15925, 3862.62039, 3981.04592, 4080.71706, 4151.91509, 4184.92125, 4170.01679, 4101.36589, 3959.33732},
1938  {154.592035, 153.474949, 152.191362, 150.747946, 149.151371, 147.408309, 145.52543, 143.509405, 141.366905, 139.104601, 136.729163, 134.247262, 131.665569, 128.990755, 126.229491, 123.388447, 120.474295, 117.493704, 114.453347, 111.359893, 108.220014, 105.04038, 101.827662, 98.5885316, 95.3296586, 92.0577142, 88.7793692, 85.5012944, 82.2301606, 78.9726387, 75.7353993, 72.5251134, 69.3484518, 66.2120853, 63.3048272, 60.538446, 57.8225209, 55.1578117, 52.5450784, 49.9850809, 47.4785792, 45.0263332, 42.6291028, 40.287648, 38.0027287, 35.7751048, 33.6055362, 31.494783, 29.4436049, 27.452762, 25.5230142, 23.6868314, 21.9125762, 20.200321, 18.5501384, 16.9621009, 15.436281, 13.9727512, 12.5715842, 11.2328522, 9.95662804, 8.74298405, 7.5919928, 6.50372682, 5.47825863, 4.51566073, 3.61600567, 2.81600633, 2.1514959, 1.54697887, 1.0001525, 0.508714066, 0.0703608501, -0.317209877, -0.656300843, -0.949214772, -1.19825439, -1.40572243, -1.5739216, -1.70515465, -1.80172429, -1.86593325, -1.90008426, -1.90648004, -1.89798563, -1.87140043, -1.82339691, -1.75593502, -1.67097472, -1.57047597, -1.45639872, -1.33070294, -1.19534858, -1.0522956, -0.903503966, -0.75093363, -0.596544552, -0.442296692, -0.290150007, -0.142064457, 0, -2.03730601, -3.79612762, -5.28072117, -6.49534301, -7.44424947, -8.1316969, -8.56194164, -8.73924003, -8.66784841, -8.35202312, -7.79602051, -7.00409692, -5.98050869, -4.72951215, -3.25536366, -1.56231955, 0.645128979, 3.40554917, 6.03664449, 8.59839398, 11.1507767, 13.7537716, 16.4673579, 19.3515146, 22.4662206, 25.8714551, 29.627197, 33.7934255, 38.4301196, 43.5689836, 49.3086387, 55.7175463, 62.8641679, 70.8328497, 79.6841108, 89.4742343, 100.266916, 112.125853, 125.114739, 139.297273, 154.53949, 171.162902, 189.269878, 208.962787, 230.343997, 253.68287, 278.873033, 305.975103, 335.049702, 366.157448, 398.857263, 434.324652, 473.325981, 516.29759, 563.002009, 613.504297, 667.869511, 726.09351, 788.326276, 854.793281, 926.087209, 1001.37974, 1079.75231, 1160.87806, 1245.43264, 1333.63156, 1426.25845, 1523.6761, 1624.16405, 1727.18025, 1833.24819, 1940.59635, 2048.31382, 2155.48971, 2261.21313, 2365.91678, 2467.01026, 2563.24677, 2653.37953, 2736.16173, 2801.03783, 2862.27561, 2922.61777, 2993.47476, 3074.15827, 3160.36837, 3251.59733, 3347.33739, 3447.0808, 3550.31982, 3747.84327, 3888.94357, 3986.36793, 4052.86357, 4101.1777, 4144.05752, 4194.25026, 4192.32518, 4149.84044},
1939  {158.269136, 157.026245, 155.637794, 154.109219, 152.445957, 150.653445, 148.737117, 146.702411, 144.554762, 142.299606, 139.94238, 137.48852, 134.943462, 132.312642, 129.601496, 126.81546, 123.959971, 121.040464, 118.062376, 115.031143, 111.952201, 108.830986, 105.672935, 102.483483, 99.2680664, 96.0321217, 92.7810848, 89.5203918, 86.255479, 82.9917825, 79.7347384, 76.4897829, 73.262352, 70.0578819, 66.9606355, 63.9349774, 60.9443252, 57.9915567, 55.0795502, 52.2111837, 49.3893351, 46.6168827, 43.8967045, 41.2316784, 38.6246826, 36.0785952, 33.5962942, 31.1806576, 28.8345636, 26.5608902, 24.3625154, 22.4086222, 20.5321787, 18.7324576, 17.008732, 15.3602747, 13.7863586, 12.2862566, 10.8592417, 9.50458659, 8.22156433, 7.00944778, 5.86750984, 4.7950234, 3.79126136, 2.85549663, 1.98700209, 1.20934912, 0.545525657, -0.0553091332, -0.595457525, -1.07722179, -1.5029042, -1.87480702, -2.19523254, -2.466483, -2.6908607, -2.87066791, -3.00820688, -3.1057799, -3.16568923, -3.19023715, -3.18172592, -3.14245783, -3.09073681, -3.02052772, -2.92560311, -2.80774594, -2.66873922, -2.51036593, -2.33440905, -2.14265157, -1.93687647, -1.71886675, -1.49040539, -1.25327537, -1.00925969, -0.760141324, -0.507703263, -0.253728493, 0, -0.979967646, -1.8474724, -2.59591928, -3.21871331, -3.70925953, -4.06096294, -4.26722859, -4.32146149, -4.21706666, -3.94744914, -3.50601394, -2.88616609, -2.08131062, -1.08485255, 0.1098031, 1.5092513, 3.30200983, 5.52066265, 7.76031266, 10.0665383, 12.484918, 15.0610302, 17.8404533, 20.8687658, 24.1915461, 27.8543726, 31.9028237, 36.382478, 41.3389138, 46.7943948, 52.8263629, 59.4873911, 66.8300523, 74.7438311, 83.3628444, 92.8646996, 103.350896, 114.922933, 127.68231, 141.730526, 157.435526, 174.551272, 193.127133, 213.212477, 234.856673, 257.876554, 282.612159, 309.17099, 337.660549, 368.18834, 400.512194, 435.516659, 473.778285, 515.663903, 561.112169, 610.253984, 663.220245, 720.256039, 781.352126, 846.374696, 915.363976, 988.253659, 1065.04445, 1145.70093, 1230.12645, 1318.25249, 1410.28612, 1506.23025, 1605.07721, 1706.39098, 1810.75977, 1916.56572, 2023.01826, 2129.32681, 2234.70079, 2342.2618, 2446.32905, 2545.1339, 2636.90774, 2719.88195, 2780.97252, 2837.2698, 2891.85463, 2956.93096, 3031.96839, 3112.6352, 3198.59107, 3289.49565, 3385.00861, 3484.78961, 3603.30476, 3720.89982, 3834.33867, 3940.3852, 4035.80328, 4117.35681, 4181.80965, 4223.26481, 4219.01046},
1940  {161.951839, 160.594966, 159.113403, 157.511355, 155.793025, 153.962617, 152.024337, 149.982387, 147.840971, 145.604295, 143.276563, 140.861977, 138.364743, 135.789065, 133.139146, 130.419191, 127.633405, 124.78599, 121.881152, 118.923094, 115.916021, 112.864136, 109.771644, 106.64275, 103.481656, 100.292568, 97.0796889, 93.8472235, 90.5993758, 87.3403499, 84.0743499, 80.80558, 77.5382443, 74.276547, 71.0053704, 67.7389859, 64.4918972, 61.2689355, 58.074932, 54.9147178, 51.793124, 48.714982, 45.6851227, 42.7083774, 39.7895773, 36.9335535, 34.1451372, 31.4291596, 28.7904517, 26.2338449, 23.7641702, 21.6669244, 19.6601888, 17.7427104, 15.9132359, 14.1705122, 12.5132864, 10.9403052, 9.45031547, 8.0420642, 6.71429824, 5.46576447, 4.29520978, 3.20138106, 2.18302519, 1.23888906, 0.367719565, -0.414357123, -1.09163209, -1.70120194, -2.24544642, -2.72674526, -3.1474782, -3.510025, -3.81676539, -4.07007911, -4.2723459, -4.42594551, -4.53325768, -4.59666215, -4.61853866, -4.60126696, -4.54722678, -4.45879786, -4.35892022, -4.23926101, -4.09124026, -3.91657049, -3.71696422, -3.49413397, -3.24979227, -2.98565163, -2.70342459, -2.40482365, -2.09156135, -1.7653502, -1.42790272, -1.08093144, -0.72614888, -0.365267559, 0, -0.0145795258, -0.068802321, -0.146086994, -0.229852155, -0.303516411, -0.350498371, -0.354216644, -0.298089839, -0.165536564, 0.060024572, 0.39517496, 0.856495991, 1.46056906, 2.22397555, 3.16329686, 4.29511438, 5.72176203, 7.47207156, 9.36866031, 11.4464852, 13.7405032, 16.2856712, 19.1169462, 22.269285, 25.7776447, 29.6769821, 34.0022542, 38.7884179, 44.0704301, 49.9000763, 56.2893144, 63.268053, 70.8662004, 78.7501063, 87.1314585, 96.3188938, 106.451388, 117.667918, 130.107459, 143.908988, 159.899464, 177.320494, 196.176447, 216.471694, 238.210605, 260.807694, 285.004653, 310.953316, 338.805517, 368.71309, 400.633841, 435.150782, 472.650708, 513.42654, 557.579546, 605.297044, 656.76635, 712.437814, 772.175939, 835.558288, 902.15997, 972.578354, 1047.63224, 1127.54404, 1211.52559, 1299.2526, 1390.39139, 1484.61524, 1581.63185, 1681.12947, 1783.96653, 1888.48104, 1993.95615, 2099.67504, 2204.92087, 2315.13578, 2421.90422, 2522.9696, 2616.07533, 2698.96485, 2756.12179, 2807.3892, 2856.19324, 2915.78339, 2985.69743, 3061.38011, 3142.57389, 3229.0212, 3320.46448, 3416.64617, 3443.96817, 3534.85511, 3666.37808, 3815.60815, 3959.61638, 4075.47384, 4140.25162, 4213.99502, 4231.18751},
1941  {165.33743, 163.940135, 162.433194, 160.819818, 159.103214, 157.286593, 155.373164, 153.366138, 151.268722, 149.084127, 146.815563, 144.466238, 142.039363, 139.538146, 136.965799, 134.325529, 131.620546, 128.85406, 126.029281, 123.149418, 120.217681, 117.237278, 114.21142, 111.143316, 108.036176, 104.893209, 101.717625, 98.5126326, 95.2814421, 92.0272628, 88.7533043, 85.462776, 82.1588875, 78.8448484, 75.4268962, 71.958766, 68.4953586, 65.0430304, 61.6081379, 58.1970374, 54.8160854, 51.4716384, 48.1700528, 44.9176851, 41.7208916, 38.5860289, 35.5194534, 32.5275215, 29.6165897, 26.7930145, 24.0631522, 21.785467, 19.6065746, 17.5251986, 15.5400623, 13.6498891, 11.8534026, 10.1493261, 8.53638313, 7.01329706, 5.57879136, 4.23158946, 2.9704148, 1.79399084, 0.701040991, -0.30971129, -1.23954257, -2.06913915, -2.77968171, -3.41491266, -3.97744334, -4.4698851, -4.89484927, -5.2549472, -5.55279024, -5.79098972, -5.972157, -6.0989034, -6.17384028, -6.19957898, -6.17873084, -6.11390721, -6.00771942, -5.86277882, -5.70344619, -5.52100068, -5.30646004, -5.0617298, -4.78871549, -4.48932265, -4.16545679, -3.81902347, -3.4519282, -3.06607652, -2.66337397, -2.24572607, -1.81503836, -1.37321636, -0.922165614, -0.46379165, 0, 0.432124521, 0.757333341, 0.996837286, 1.17184718, 1.30357384, 1.4132281, 1.52202078, 1.6511627, 1.82186469, 2.05533757, 2.37279216, 2.7954393, 3.34448979, 4.04115447, 4.90664416, 5.96216968, 7.27123135, 8.86108135, 10.6572757, 12.6900873, 14.9897889, 17.5866534, 20.5109538, 23.7929627, 27.4629532, 31.551198, 36.0879701, 41.1035422, 46.6281872, 52.7520626, 59.4235989, 66.6551037, 74.4588844, 82.3771036, 90.6571412, 99.6717491, 109.574278, 120.51808, 132.656504, 146.142903, 161.929378, 179.127431, 197.734135, 217.746565, 239.161793, 261.419058, 285.212728, 310.679336, 337.955413, 367.177493, 398.242401, 431.819352, 468.384086, 508.252875, 551.416403, 598.011536, 648.17514, 702.217132, 760.061998, 821.445441, 885.97798, 954.331047, 1027.49551, 1105.7455, 1188.14072, 1274.29832, 1363.70624, 1455.94812, 1551.0814, 1648.89549, 1750.62729, 1854.39609, 1959.49027, 2065.19822, 2170.80833, 2283.33723, 2392.41299, 2495.39195, 2589.63042, 2672.48473, 2726.52106, 2773.74598, 2817.85442, 2873.06375, 2938.90381, 3010.5201, 3087.66168, 3170.0776, 3257.51692, 3349.72869, 3331.79808, 3406.96446, 3543.48239, 3709.60647, 3873.59127, 4003.69137, 4068.16135, 4166.29693, 4201.61824},
1942  {168.065254, 166.771321, 165.370561, 163.865684, 162.259398, 160.554412, 158.753433, 156.859171, 154.874334, 152.801629, 150.643766, 148.403453, 146.083398, 143.68631, 141.214897, 138.671868, 136.05993, 133.381793, 130.640164, 127.837752, 124.977266, 122.061414, 119.092904, 116.074445, 113.008744, 109.898512, 106.746455, 103.555283, 100.327703, 97.066424, 93.7741547, 90.4536034, 87.1074784, 83.7384881, 80.2112924, 76.6005278, 72.9824896, 69.3643661, 65.7533459, 62.1566171, 58.5813681, 55.0347872, 51.5240628, 48.0563833, 44.6389368, 41.2789119, 37.9834968, 34.7598799, 31.6152494, 28.5567938, 25.5917014, 23.0848426, 20.6779698, 18.3705175, 16.1619202, 14.0516123, 12.0390284, 10.123603, 8.30477042, 6.5819653, 4.95462209, 3.42217527, 1.98405934, 0.639708786, -0.611441909, -1.76995825, -2.83640575, -3.77254016, -4.54104902, -5.22254008, -5.82009473, -6.33679436, -6.77572036, -7.13995413, -7.43257704, -7.65667049, -7.81531588, -7.91159459, -7.94858801, -7.92937754, -7.85704456, -7.73467046, -7.56533664, -7.35212448, -7.11485134, -6.84787861, -6.54536652, -6.20985336, -5.8438774, -5.44997691, -5.03069017, -4.58855547, -4.12611106, -3.64589524, -3.15044628, -2.64230245, -2.12400203, -1.5980833, -1.06708454, -0.53354401, 0, -0.141915049, -0.289791222, -0.428413625, -0.542567363, -0.617037541, -0.636609265, -0.586067641, -0.450197773, -0.213784766, 0.138386273, 0.621530239, 1.25086203, 2.04159653, 3.00894865, 4.16813327, 5.5343653, 7.2116231, 9.22780207, 11.3973426, 13.7544802, 16.3334507, 19.1684896, 22.2938326, 25.7437153, 29.5523734, 33.7540424, 38.3829582, 43.4733562, 49.0594721, 55.2458773, 61.970682, 69.2470211, 77.0880295, 85.1587396, 93.6463376, 102.830837, 112.829804, 123.760804, 135.741402, 148.889165, 163.594117, 179.618442, 197.0264, 215.882247, 236.250243, 258.492892, 282.301644, 307.666198, 334.57625, 363.021497, 392.247334, 423.897463, 459.161634, 498.603954, 541.511161, 587.743506, 637.161241, 689.225804, 744.286897, 803.129287, 866.379508, 933.623131, 1004.74284, 1079.65851, 1158.35308, 1240.78053, 1326.99462, 1416.97518, 1510.33633, 1606.89905, 1708.29053, 1812.24769, 1917.96629, 2024.64209, 2131.47086, 2245.83684, 2356.70021, 2461.2096, 2556.51367, 2639.76107, 2692.59834, 2738.01096, 2779.79135, 2832.68722, 2896.15452, 2965.08443, 3039.16111, 3118.06872, 3201.49143, 3289.11338, 3340.07222, 3427.1522, 3537.75714, 3659.29091, 3779.15733, 3884.76028, 3963.50357, 4081.81906, 4147.15653},
1943  {170.892876, 169.753852, 168.504458, 167.147246, 165.684767, 164.119573, 162.454215, 160.691246, 158.833216, 156.882678, 154.842184, 152.714284, 150.501531, 148.206476, 145.83167, 143.379667, 140.853016, 138.254271, 135.585982, 132.850701, 130.05098, 127.189371, 124.268425, 121.290693, 118.258728, 115.175082, 112.042305, 108.86295, 105.639568, 102.37471, 99.0709297, 95.7307771, 92.3568043, 88.951563, 85.3774189, 81.7099651, 78.02648, 74.3340646, 70.6398197, 66.9508465, 63.2742458, 59.6171186, 55.9865659, 52.3896886, 48.8335878, 45.3253644, 41.8721194, 38.4809538, 35.1589684, 31.9132644, 28.7509426, 25.9572206, 23.2550539, 20.6455143, 18.1296738, 15.7086043, 13.3833777, 11.1550661, 9.02474136, 6.99347541, 5.06234023, 3.23240775, 1.50474993, -0.119561298, -1.63945397, -3.05385615, -4.36169589, -5.48783052, -6.35889576, -7.126585, -7.79462797, -8.36675445, -8.84669419, -9.23817693, -9.54493245, -9.77069049, -9.91918082, -9.99413318, -9.99927734, -9.93834305, -9.81506007, -9.63315815, -9.39636706, -9.10841654, -8.78289047, -8.41838429, -8.01337497, -7.5712725, -7.09548684, -6.58942797, -6.05650586, -5.50013047, -4.92371178, -4.33065976, -3.72438439, -3.10829562, -2.48580344, -1.86031782, -1.23524873, -0.614006128, 0, -0.78365739, -1.46162142, -2.02557829, -2.46721419, -2.77821532, -2.95026787, -2.97505804, -2.84427202, -2.54959601, -2.0827162, -1.43531878, -0.599089963, 0.434284071, 1.67311712, 3.125723, 4.8004155, 6.84801785, 9.29720232, 11.83394, 14.4970825, 17.3254813, 20.3579879, 23.6334539, 27.1907307, 31.0686701, 35.3061234, 39.9419422, 45.014978, 50.5640825, 56.7027596, 63.3678358, 70.5757668, 78.3430083, 86.4493656, 95.0296198, 104.281659, 114.292933, 125.150894, 136.942992, 149.756678, 163.588809, 178.645002, 195.030434, 212.85028, 232.209716, 253.922315, 277.207757, 301.99412, 328.209481, 355.781918, 383.699941, 413.979552, 448.179947, 486.967218, 529.184034, 574.491744, 622.551698, 672.076516, 723.891895, 779.858507, 841.798562, 907.995775, 977.024437, 1048.37009, 1123.06231, 1201.42197, 1284.13221, 1371.60783, 1462.9351, 1557.95178, 1658.57537, 1762.24392, 1868.0753, 1975.18733, 2082.69789, 2198.2903, 2310.37554, 2415.93011, 2511.93046, 2595.35308, 2647.16811, 2691.02924, 2730.7728, 2781.46292, 2842.49159, 2908.57255, 2979.33171, 3054.39497, 3133.38823, 3215.93741, 3323.42736, 3419.24193, 3506.61063, 3588.763, 3668.92858, 3750.33689, 3836.21748, 3964.7291, 4053.71547},
1944  {174.307038, 173.378106, 172.324775, 171.150052, 169.856946, 168.448466, 166.92762, 165.297416, 163.560863, 161.720969, 159.780743, 157.743193, 155.611328, 153.388156, 151.076685, 148.679924, 146.200882, 143.642566, 141.007985, 138.300148, 135.522064, 132.676739, 129.767184, 126.796406, 123.767415, 120.683217, 117.546822, 114.361238, 111.129474, 107.854538, 104.539439, 101.187184, 97.8007832, 94.3832439, 90.867116, 87.2921193, 83.6988207, 80.092515, 76.4784973, 72.8620626, 69.2485057, 65.6431217, 62.0512055, 58.4780522, 54.9289566, 51.4092137, 47.9241185, 44.478966, 41.0790511, 37.7296688, 34.4361141, 31.2373595, 28.1042924, 25.0414776, 22.05348, 19.1448645, 16.3201962, 13.5840397, 10.9409601, 8.39552231, 5.95229115, 3.61583155, 1.39070842, -0.718513347, -2.70726884, -4.57099316, -6.30512139, -7.75702259, -8.7776208, -9.66772624, -10.4323725, -11.0765933, -11.6054222, -12.0238928, -12.3370386, -12.5498935, -12.6674909, -12.6948644, -12.6370478, -12.4990746, -12.2859784, -12.0027928, -11.6545515, -11.2462881, -10.8082945, -10.332444, -9.81030607, -9.24609465, -8.64402368, -8.00830712, -7.34315888, -6.6527929, -5.94142311, -5.21326346, -4.47252787, -3.72343028, -2.97018462, -2.21700483, -1.46810484, -0.727698584, 0, -0.833490275, -1.54528201, -2.128481, -2.57619306, -2.88152399, -3.03757958, -3.03746565, -2.87428799, -2.54115241, -2.03116471, -1.3374307, -0.453056163, 0.628853081, 1.91519123, 3.41285249, 5.12873106, 7.20516038, 9.66838312, 12.2189428, 14.8927563, 17.7257404, 20.7538122, 24.0128885, 27.5388862, 31.3677221, 35.5353133, 40.0775765, 45.0304287, 50.4297868, 56.3672216, 62.8025896, 69.7551115, 77.2440081, 84.9913653, 93.1649713, 102.01185, 111.640362, 122.15887, 133.675733, 146.299313, 160.613897, 176.107072, 192.794086, 210.690183, 229.810608, 249.387137, 270.414353, 293.103368, 317.665293, 344.311242, 373.333152, 404.762524, 439.154075, 476.709199, 516.907924, 559.554159, 604.45181, 650.191333, 698.065871, 750.692338, 811.17452, 876.405564, 943.706097, 1012.08616, 1083.41843, 1158.26158, 1237.69536, 1322.41352, 1411.19927, 1503.91651, 1602.60334, 1704.61502, 1809.06286, 1915.05817, 2021.71229, 2137.49414, 2249.81803, 2355.45585, 2451.17952, 2533.76095, 2583.34226, 2624.41168, 2660.86819, 2707.97494, 2765.13258, 2827.00669, 2893.23466, 2963.45389, 3037.3018, 3114.41578, 3176.42255, 3256.0398, 3346.84068, 3442.39831, 3536.28584, 3622.0764, 3693.34312, 3816.92893, 3917.85728},
1945  {178.020724, 177.235703, 176.318616, 175.272747, 174.101378, 172.807795, 171.39528, 169.867117, 168.226591, 166.476984, 164.621581, 162.663665, 160.606519, 158.453428, 156.207676, 153.872545, 151.451321, 148.947285, 146.363723, 143.703918, 140.971153, 138.168712, 135.299879, 132.367938, 129.376173, 126.327866, 123.226302, 120.074765, 116.876538, 113.634905, 110.353149, 107.034555, 103.682406, 100.299986, 96.8897042, 93.4553005, 90.000524, 86.5286866, 83.0431006, 79.5470778, 76.0439304, 72.5369704, 69.02951, 65.524861, 62.0263357, 58.537246, 55.0609041, 51.6006219, 48.1597116, 44.7414852, 41.3492547, 37.7786391, 34.245146, 30.7565897, 27.3207848, 23.9455457, 20.6386867, 17.4080224, 14.2613672, 11.2065356, 8.25134185, 5.40360055, 2.67112609, 0.0617329193, -2.41676453, -4.75655181, -6.94981449, -8.78396512, -10.0513327, -11.1664319, -12.1347228, -12.9616656, -13.6527204, -14.2133473, -14.6490067, -14.9651586, -15.1672631, -15.2607805, -15.251171, -15.1438946, -14.9444115, -14.6581819, -14.290666, -13.8473239, -13.325216, -12.734179, -12.0841506, -11.3808636, -10.6300507, -9.83744474, -9.00877838, -8.14978441, -7.26619557, -6.36374462, -5.44816431, -4.5251874, -3.60054662, -2.67997474, -1.76920451, -0.87396868, 0, -0.886406705, -1.64028383, -2.25590555, -2.72754604, -3.04947944, -3.21597995, -3.22132171, -3.05977891, -2.72562571, -2.21313627, -1.51658477, -0.630245363, 0.451607771, 1.73470047, 3.22475856, 4.92750788, 6.99183904, 9.44392999, 11.9656815, 14.5934974, 17.3637819, 20.3129389, 23.4773725, 26.8934865, 30.5976851, 34.6263721, 39.0159517, 43.8028278, 49.0234044, 54.7876456, 61.0314232, 67.7690734, 75.0149321, 82.4045314, 90.1416092, 98.5309179, 107.700435, 117.778136, 128.892, 141.170004, 155.69552, 171.350358, 188.075568, 205.812202, 224.501313, 242.145925, 261.109623, 281.817966, 304.696511, 330.170816, 359.556257, 391.301021, 425.052296, 460.621855, 498.157506, 537.656185, 579.114826, 621.334554, 665.77989, 715.219878, 773.251167, 836.256945, 901.149509, 966.767794, 1035.21531, 1107.09707, 1183.56253, 1265.35787, 1351.23295, 1441.06689, 1536.6283, 1635.61605, 1737.25517, 1840.77067, 1945.38758, 2061.119, 2173.70486, 2279.67317, 2375.55194, 2457.86919, 2505.99683, 2545.05634, 2578.92833, 2622.59013, 2675.52989, 2732.61215, 2793.55625, 2858.08153, 2925.90734, 2996.75302, 2999.63806, 3059.43678, 3156.76334, 3272.23187, 3386.45651, 3480.05142, 3533.63073, 3645.53178, 3744.29914},
1946  {182.127512, 180.879312, 179.561161, 178.173858, 176.7182, 175.194983, 173.605007, 171.949066, 170.22796, 168.442485, 166.593439, 164.681619, 162.707822, 160.672846, 158.577488, 156.422545, 154.208815, 151.937095, 149.608183, 147.222875, 144.781969, 142.286263, 139.736553, 137.133638, 134.478314, 131.771378, 129.013629, 126.205863, 123.348878, 120.443471, 117.490439, 114.49058, 111.444691, 108.353569, 105.150964, 101.872607, 98.555035, 95.2012225, 91.8141422, 88.3967674, 84.9520712, 81.4830267, 77.9926073, 74.4837861, 70.9595362, 67.4228309, 63.8766434, 60.3239469, 56.7677145, 53.2109194, 49.6565349, 45.7543396, 41.8681578, 38.0086192, 34.1863536, 30.4119908, 26.6961605, 23.0494924, 19.4826164, 16.0061622, 12.6307596, 9.36703821, 6.22562792, 3.21715845, 0.352259561, -2.35843899, -4.90430744, -6.99980425, -8.36598836, -9.55921499, -10.5866758, -11.4555624, -12.1730665, -12.7463798, -13.1826938, -13.4892003, -13.6730909, -13.7415572, -13.701791, -13.5609838, -13.3263274, -13.0050133, -12.6042333, -12.131179, -11.6441231, -11.1236423, -10.5496994, -9.92782831, -9.26356303, -8.56243755, -7.82998582, -7.07174183, -6.29323955, -5.50001295, -4.69759602, -3.89152273, -3.08732705, -2.29054297, -1.50670444, -0.741345463, 0, -2.56355904, -4.69687761, -6.41514243, -7.73354025, -8.66725779, -9.23148179, -9.44139899, -9.31219611, -8.85905989, -8.09717707, -7.04173437, -5.70791854, -4.1109163, -2.26591439, -0.188099537, 2.10734152, 5.20144911, 9.16421182, 12.631834, 15.716892, 18.5319619, 21.1896199, 23.8024423, 26.4830052, 29.343885, 32.4976577, 36.0568996, 40.134187, 44.8420959, 50.9077343, 57.6038185, 64.8585653, 72.6001912, 80.0518307, 87.4942416, 95.3962039, 103.897459, 113.137749, 123.256815, 134.394398, 147.220928, 161.183946, 176.31936, 192.663083, 210.251026, 230.161444, 251.127317, 272.923971, 295.32673, 318.110919, 339.596131, 362.792652, 389.774116, 421.433872, 456.25552, 493.804585, 533.646596, 574.155571, 616.359344, 662.585581, 714.771022, 771.485203, 832.103486, 896.29093, 964.203481, 1035.77176, 1110.87304, 1189.42412, 1271.53738, 1357.21457, 1447.85721, 1541.85193, 1638.71592, 1737.96638, 1839.12052, 1955.223, 2068.8817, 2176.23197, 2273.40915, 2356.54858, 2403.67911, 2441.11356, 2472.7472, 2513.96793, 2564.12184, 2617.76644, 2674.48722, 2733.86972, 2795.49946, 2858.96195, 2841.54564, 2884.83073, 2969.85368, 3077.65095, 3189.25899, 3285.71425, 3348.05319, 3453.67784, 3500.31941},
1947  {189.757548, 188.974412, 188.068227, 187.042066, 185.899003, 184.642109, 183.274459, 181.799126, 180.219183, 178.537702, 176.757759, 174.882424, 172.914772, 170.857876, 168.71481, 166.488645, 164.182456, 161.799315, 159.342296, 156.814472, 154.218916, 151.558702, 148.836902, 146.05659, 143.220839, 140.332722, 137.395312, 134.411683, 131.384907, 128.318058, 125.214209, 122.076434, 118.907805, 115.711395, 112.53458, 109.357349, 106.159161, 102.941651, 99.7064564, 96.4552109, 93.1895507, 89.9111112, 86.621528, 83.3224365, 80.0154724, 76.7022712, 73.3844684, 70.0636994, 66.7416, 63.4198055, 60.0999516, 56.577289, 53.064312, 49.5671302, 46.091853, 42.6445901, 39.231451, 35.8585453, 32.5319825, 29.2578721, 26.0423237, 22.8914468, 19.811351, 16.8081459, 13.887941, 11.0568458, 8.32096987, 5.7383315, 3.3657026, 1.10213493, -1.04962699, -3.08683865, -5.00675553, -6.80663311, -8.48372686, -10.0352923, -11.4585848, -12.75086, -13.9093733, -14.9313802, -15.8141361, -16.5548966, -17.1509171, -17.5994532, -17.3614263, -16.7135401, -15.9389443, -15.0522994, -14.068266, -13.0015046, -11.8666758, -10.6784402, -9.45145819, -8.20039042, -6.93989741, -5.68463972, -4.44927788, -3.24847244, -2.09688395, -1.00917295, 0, -0.464272642, -1.06208401, -1.76680075, -2.55178949, -3.39041686, -4.2560495, -5.12205404, -5.96179713, -6.74864539, -7.45596545, -8.05712397, -8.52548756, -8.83442287, -8.95729652, -8.86747516, -8.53832542, -8.23849337, -7.98352841, -7.07890323, -5.56125863, -3.4672354, -0.833474354, 2.30338372, 5.90669802, 9.93982775, 14.3661321, 19.1489703, 24.2517015, 29.637685, 35.0338828, 40.7267301, 46.7505054, 53.1394868, 60.0336828, 67.4145066, 75.235177, 83.4982533, 92.2062948, 101.361861, 110.967511, 120.325326, 130.351533, 141.185741, 152.967559, 165.836597, 178.49663, 192.882059, 209.491454, 228.823382, 251.376412, 279.686181, 309.724435, 338.595908, 365.214922, 392.190382, 420.472399, 451.011086, 485.355707, 523.721053, 565.668289, 612.134435, 662.043424, 714.144614, 768.076567, 824.984553, 885.322242, 950.398908, 1020.89004, 1094.33391, 1170.04335, 1243.08663, 1317.67421, 1394.58825, 1474.61088, 1558.52424, 1666.26664, 1774.67502, 1879.74249, 1977.46216, 2063.82712, 2119.85835, 2166.50251, 2206.16932, 2243.16484, 2279.14817, 2314.98826, 2352.38373, 2393.03318, 2438.63521, 2490.88842, 2394.56646, 2444.55019, 2584.74341, 2759.04992, 2911.37352, 2985.618, 2925.68715, 3056.31619, 3112.65579},
1948  {192.62829, 192.383279, 191.979674, 191.421691, 190.713545, 189.85945, 188.863624, 187.73028, 186.463635, 185.067905, 183.547303, 181.906047, 180.148351, 178.278431, 176.300503, 174.218781, 172.037482, 169.76082, 167.393012, 164.938272, 162.400816, 159.78486, 157.094619, 154.334308, 151.508144, 148.620341, 145.675114, 142.676681, 139.629254, 136.537052, 133.404288, 130.235178, 127.033937, 123.804782, 120.650349, 117.523573, 114.376205, 111.209267, 108.02378, 104.820765, 101.601245, 98.3662403, 95.1167727, 91.8538638, 88.578535, 85.2918078, 81.9947037, 78.6882441, 75.3734506, 72.0513446, 68.7229477, 65.2631982, 61.8019339, 58.3429097, 54.8898801, 51.4465999, 48.0168238, 44.6043066, 41.212803, 37.8460676, 34.5078553, 31.2019207, 27.9320185, 24.7019036, 21.5153305, 18.376054, 15.2878289, 12.146028, 8.84862633, 5.62290814, 2.47965406, -0.570355221, -3.51633903, -6.34751669, -9.05310753, -11.6223309, -14.044406, -16.3085524, -18.4039891, -20.3199357, -22.0456114, -23.5702356, -24.8830275, -25.9732065, -25.8249983, -24.9512576, -23.8769187, -22.6238147, -21.2137791, -19.668645, -18.0102459, -16.2604149, -14.4409855, -12.5737908, -10.6806643, -8.78343911, -6.90394867, -5.06402624, -3.28550511, -1.5902186, 0, -1.07318919, -2.17789359, -3.29368944, -4.400153, -5.4768605, -6.5033882, -7.45931233, -8.32420916, -9.07765492, -9.69922586, -10.1684982, -10.4650483, -10.5684522, -10.4582864, -10.1141269, -9.51555012, -8.98976145, -8.56599847, -7.43753325, -5.65843399, -3.28276893, -0.364606292, 3.04198571, 6.88293885, 11.1041849, 15.6516557, 20.4712829, 25.5089984, 30.7107339, 35.6010443, 40.7017431, 46.0851753, 51.8236856, 58.2888541, 65.4034081, 73.0102788, 81.0920404, 89.6312673, 98.6105336, 108.012414, 117.135959, 126.855295, 137.286729, 148.546569, 160.75112, 172.779886, 186.295179, 201.722507, 219.48738, 240.015304, 265.35449, 292.324443, 318.540363, 343.153902, 368.453633, 395.319716, 424.632311, 458.27741, 495.900743, 536.05077, 578.186392, 622.784759, 669.748774, 719.254349, 771.939999, 828.231896, 889.175185, 955.356513, 1025.09296, 1097.98541, 1171.11729, 1246.99422, 1326.08851, 1408.87246, 1495.81836, 1605.93124, 1716.5175, 1823.41628, 1922.46669, 2009.50787, 2064.6474, 2109.94364, 2147.9778, 2185.3915, 2223.15872, 2260.56159, 2298.65869, 2338.50858, 2381.16984, 2427.70102, 2434.03458, 2490.19719, 2575.96849, 2671.12815, 2755.45581, 2808.73114, 2810.73379, 2876.42573, 2952.08091},
1949  {202.644418, 202.442402, 202.111105, 201.653542, 201.07273, 200.371684, 199.55342, 198.620954, 197.577301, 196.425478, 195.1685, 193.809383, 192.351142, 190.796794, 189.149355, 187.411839, 185.587263, 183.678643, 181.688995, 179.621334, 177.478676, 175.264036, 172.980432, 170.630877, 168.218389, 165.745983, 163.216675, 160.633481, 157.999416, 155.317496, 152.590737, 149.822155, 147.014765, 144.171584, 141.343869, 138.509501, 135.645779, 132.754153, 129.836075, 126.892994, 123.926361, 120.937625, 117.928237, 114.899647, 111.853305, 108.790662, 105.713168, 102.622273, 99.5194277, 96.4060817, 93.2836854, 90.170004, 87.0498192, 83.9242276, 80.7943257, 77.6612102, 74.5259775, 71.3897242, 68.2535469, 65.1185422, 61.9858067, 58.8564368, 55.7315292, 52.6121805, 49.4994871, 46.3945457, 43.2984528, 40.0494557, 36.4897114, 32.9561812, 29.4605185, 26.0143766, 22.6294091, 19.3172693, 16.0896106, 12.9580866, 9.93435055, 7.03005597, 4.25685626, 1.62640485, -0.84964483, -3.15963936, -5.29192532, -7.23484927, -7.98347051, -8.04367171, -7.9332741, -7.67285834, -7.28300508, -6.78429497, -6.19730869, -5.54262687, -4.84083018, -4.11249927, -3.3782148, -2.65855743, -1.97410782, -1.34544661, -0.793154464, -0.337812043, 0, -5.27410188, -10.0410472, -14.3146798, -18.1088436, -21.4373827, -24.314141, -26.7529624, -28.7676908, -30.3721702, -31.5802445, -32.4057577, -32.8625537, -32.9644764, -32.7253699, -32.1590779, -31.2794446, -30.1324341, -28.736479, -27.0327701, -25.0420343, -22.7849984, -20.2823894, -17.5549341, -14.6233594, -11.5083921, -8.2307591, -4.81118728, -1.2704035, 2.37086536, 5.87102122, 9.51119455, 13.3369198, 17.3937316, 21.7983637, 26.5607509, 31.6718416, 37.1558104, 43.0368321, 49.3390813, 56.0867327, 63.1527035, 70.7584608, 78.9577731, 87.8044091, 97.3521373, 107.593928, 118.659547, 130.617963, 143.538145, 157.489061, 172.687078, 188.873609, 205.764525, 223.302211, 241.89153, 261.729701, 283.013946, 305.83741, 330.52504, 357.515323, 387.758191, 420.194739, 453.395946, 487.033836, 522.646088, 560.914013, 603.076466, 649.959307, 700.344075, 754.168692, 809.919243, 869.208849, 932.477992, 1000.16715, 1072.71681, 1168.19415, 1265.00627, 1359.187, 1446.77014, 1523.78951, 1571.40233, 1610.43672, 1643.30216, 1677.23141, 1712.72475, 1748.27276, 1784.4762, 1821.93583, 1861.2524, 1903.02668, 1955.09636, 2011.60688, 2068.75893, 2122.75319, 2169.79035, 2206.07109, 2227.7961, 2280.07228, 2343.36149}
1950  };
1951 
1952  const double a4tab[98][200] = {{-1766.7572, -1749.18855, -1731.40558, -1713.41905, -1695.2397, -1676.87827, -1658.34553, -1639.65221, -1620.80907, -1601.82685, -1582.7163, -1563.48817, -1544.15322, -1524.72217, -1505.2058, -1485.61483, -1465.96003, -1446.25214, -1426.50191, -1406.72008, -1386.91741, -1367.10465, -1347.29253, -1327.49182, -1307.71325, -1287.96759, -1268.26556, -1248.61793, -1229.03545, -1209.52885, -1190.10889, -1170.78632, -1151.57189, -1132.47634, -1114.02103, -1095.95066, -1078.00381, -1060.17465, -1042.45736, -1024.84611, -1007.33509, -989.918464, -972.590423, -955.34514, -938.176794, -921.079562, -904.047622, -887.075153, -870.156333, -853.28534, -836.456351, -819.512409, -802.602104, -785.722891, -768.872224, -752.047557, -735.246345, -718.466043, -701.704105, -684.957985, -668.225137, -651.503016, -634.789077, -618.080774, -601.375561, -584.670893, -567.964224, -551.188272, -534.277311, -517.362308, -500.444913, -483.526779, -466.609555, -449.694892, -432.784442, -415.879856, -398.982785, -382.094879, -365.21779, -348.353168, -331.502665, -314.667931, -297.850618, -281.052376, -264.574224, -248.261831, -231.95727, -215.652479, -199.339392, -183.009945, -166.656076, -150.269718, -133.84281, -117.367285, -100.835081, -84.2381337, -67.5683784, -50.8177515, -33.9781888, -17.0416263, 0, 19.1746688, 37.9365544, 56.3501986, 74.4801434, 92.3909305, 110.147102, 127.813199, 145.453764, 163.133338, 180.916464, 198.867684, 217.051538, 235.532569, 254.375319, 273.64433, 293.404142, 313.773689, 334.825281, 356.500436, 378.875352, 402.026224, 426.02925, 450.960626, 476.896549, 503.913216, 532.086823, 561.493567, 592.209645, 624.311253, 657.696936, 692.685682, 729.406984, 767.990335, 808.116944, 850.140446, 894.534017, 941.561637, 991.487282, 1044.57493, 1101.08856, 1160.52898, 1224.15561, 1292.38174, 1365.62067, 1444.28569, 1525.22296, 1613.30469, 1709.83599, 1816.12193, 1933.46758, 2065.77763, 2208.5803, 2357.43451, 2511.46638, 2677.08511, 2857.42995, 3055.64015, 3276.90575, 3521.84913, 3788.85541, 4076.91686, 4391.02783, 4732.56227, 5104.7603, 5514.02414, 5965.30455, 6462.33843, 7009.76183, 7616.66165, 8289.60712, 9021.112, 9833.96341, 10739.596, 11749.4442, 12874.9429, 14600.5298, 16346.3855, 18005.6936, 19471.638, 20637.4024, 21117.3678, 21269.3892, 21106.1372, 20526.6706, 19588.6315, 18397., 17007.0512, 15474.0602, 13853.3021, 12200.0518, 10554.486, 9059.9718, 7706.33993, 6483.42127, 5381.04667, 4389.04698, 3497.25303, 2689.0974, 1951.75256},
1953  {-1661.23266, -1645.23548, -1628.96586, -1612.43781, -1595.66538, -1578.6626, -1561.44351, -1544.02213, -1526.41251, -1508.62869, -1490.68468, -1472.59454, -1454.37229, -1436.03197, -1417.58761, -1399.05326, -1380.44293, -1361.77068, -1343.05053, -1324.29651, -1305.52267, -1286.74304, -1267.97165, -1249.22254, -1230.50974, -1211.84729, -1193.24922, -1174.72956, -1156.30236, -1137.98165, -1119.78145, -1101.71581, -1083.79877, -1066.04434, -1049.34448, -1033.25578, -1017.32434, -1001.53568, -985.875372, -970.328944, -954.881947, -939.519926, -924.228426, -908.992994, -893.799174, -878.632512, -863.478554, -848.322846, -833.150932, -817.948359, -802.700672, -786.50964, -770.263744, -753.967688, -737.626175, -721.243911, -704.825599, -688.375943, -671.899648, -655.401417, -638.885954, -622.357965, -605.822152, -589.28322, -572.745873, -556.214816, -539.694752, -523.25083, -506.946751, -490.662552, -474.39902, -458.15694, -441.937098, -425.74028, -409.567272, -393.418858, -377.295825, -361.198959, -345.129045, -329.086868, -313.073215, -297.088871, -281.134621, -265.211252, -249.627697, -234.224186, -218.837246, -203.457662, -188.07622, -172.683706, -157.270906, -141.828605, -126.347589, -110.818644, -95.2325543, -79.5801071, -63.8520876, -48.0392814, -32.1324743, -16.1224519, 0, 18.631188, 36.8179774, 54.6249164, 72.1165534, 89.3574366, 106.412114, 123.345135, 140.221047, 157.104398, 174.059736, 191.151611, 208.44457, 226.003161, 243.891934, 262.175435, 280.918214, 300.160596, 319.963671, 340.446773, 361.669261, 383.690491, 406.569824, 430.366615, 455.140223, 480.950007, 507.855323, 535.91553, 565.189986, 595.738049, 627.273087, 660.327311, 695.063874, 731.645931, 770.284321, 811.118356, 854.274634, 899.902003, 948.149312, 999.165412, 1053.09915, 1108.35958, 1167.36484, 1230.6042, 1298.56689, 1371.74215, 1449.63621, 1533.96709, 1625.46979, 1724.87933, 1832.9307, 1951.38092, 2078.69385, 2212.11928, 2351.39934, 2501.36464, 2664.56116, 2843.53489, 3042.31182, 3261.62156, 3500.57918, 3764.46999, 4044.8957, 4323.56168, 4597.71899, 4890.95998, 5214.78592, 5592.15334, 6037.53338, 6523.39458, 7045.96454, 7591.63185, 8167.97679, 8774.63277, 9411.23318, 10077.4114, 10743.1857, 11445.2084, 12190.5167, 12986.1479, 13839.1392, 14987.8517, 16053.7826, 16944.8303, 17121.4612, 16668.6822, 15857.9298, 14764.8894, 13465.2462, 12034.6854, 10548.8923, 9205.32317, 7979.00757, 6863.62985, 5852.87439, 4940.42557, 4119.96776, 3385.18533, 2733.65426, 2184.39136},
1954  {-1563.20972, -1547.11804, -1530.91591, -1514.61038, -1498.20846, -1481.7172, -1465.1436, -1448.49471, -1431.77754, -1414.99912, -1398.16649, -1381.28667, -1364.36669, -1347.41357, -1330.43434, -1313.43602, -1296.42566, -1279.41026, -1262.39687, -1245.39251, -1228.40419, -1211.43896, -1194.50384, -1177.60586, -1160.75204, -1143.94941, -1127.205, -1110.52583, -1093.91894, -1077.39134, -1060.95008, -1044.60216, -1028.35463, -1012.21451, -996.747581, -981.66974, -966.690168, -951.797759, -936.98141, -922.230013, -907.532465, -892.877658, -878.254489, -863.65185, -849.058638, -834.463746, -819.856069, -805.224502, -790.557939, -775.845274, -761.075403, -745.413129, -729.689303, -713.910682, -698.084027, -682.216097, -666.313651, -650.383448, -634.432247, -618.466808, -602.49389, -586.520252, -570.552653, -554.597853, -538.662611, -522.753686, -506.877837, -491.158578, -475.716618, -460.317921, -444.961677, -429.647076, -414.373309, -399.139566, -383.945039, -368.788917, -353.670392, -338.588653, -323.542891, -308.532297, -293.556061, -278.613374, -263.703426, -248.825408, -234.274928, -219.896732, -205.532006, -191.17032, -176.801246, -162.414355, -147.999218, -133.545407, -119.042492, -104.480045, -89.8476376, -75.1348401, -60.3312241, -45.4263609, -30.4098216, -15.2711776, 0, 17.8774088, 35.3531331, 52.4868186, 69.3381108, 85.9666554, 102.432098, 118.794084, 135.11226, 151.446271, 167.855762, 184.400379, 201.139768, 218.133575, 235.441445, 253.123023, 271.237956, 289.833504, 308.967542, 328.727732, 349.171064, 370.354531, 392.335123, 415.169833, 438.915653, 463.629573, 489.368586, 516.189683, 544.149855, 573.306095, 603.279032, 634.722019, 667.822956, 702.769743, 739.962724, 779.483578, 821.357331, 865.708149, 912.6602, 962.33765, 1014.86467, 1069.16005, 1126.92018, 1188.50507, 1254.2747, 1324.58908, 1401.10296, 1482.5579, 1568.99021, 1660.4362, 1756.93218, 1855.8116, 1963.11714, 2082.02853, 2214.53306, 2360.18338, 2519.62528, 2693.50449, 2884.50244, 3090.76658, 3308.22368, 3533.93571, 3769.24859, 4012.37062, 4263.44597, 4525.89905, 4801.64861, 5098.36574, 5419.46052, 5747.25106, 6075.98628, 6385.50649, 6686.68594, 6978.76116, 7260.96866, 7532.54498, 7562.23654, 7637.39249, 7814.87186, 8151.53369, 8704.23704, 9951.09184, 11246.8723, 12467.9014, 12983.2468, 12870.02, 12416.6889, 11689.797, 10755.888, 9681.50566, 8533.19352, 7559.96123, 6605.00581, 5684.51861, 4814.69096, 4011.71421, 3291.7797, 2671.07878, 2088.65773, 1581.60906},
1955  {-1464.60418, -1448.00865, -1431.59044, -1415.3427, -1399.2586, -1383.33132, -1367.55401, -1351.91984, -1336.42199, -1321.05361, -1305.80788, -1290.67795, -1275.65701, -1260.7382, -1245.91471, -1231.17969, -1216.52632, -1201.94775, -1187.43717, -1172.98772, -1158.59259, -1144.24493, -1129.93791, -1115.6647, -1101.41847, -1087.19238, -1072.9796, -1058.7733, -1044.56664, -1030.35279, -1016.12491, -1001.87618, -987.59975, -973.288799, -958.627649, -943.770383, -928.874796, -913.944078, -898.981417, -883.990002, -868.973024, -853.93367, -838.87513, -823.800593, -808.713249, -793.616285, -778.512892, -763.406259, -748.299574, -733.196027, -718.098806, -703.132353, -688.175977, -673.230237, -658.295695, -643.372912, -628.462447, -613.564862, -598.680717, -583.810573, -568.95499, -554.114529, -539.289751, -524.481216, -509.689484, -494.915117, -480.158675, -465.397753, -450.610499, -435.844837, -421.102815, -406.386484, -391.697893, -377.039091, -362.412128, -347.819052, -333.261913, -318.742761, -304.263645, -289.826614, -275.433717, -261.087004, -246.788524, -232.540327, -218.818626, -205.378417, -191.968991, -178.577013, -165.189142, -151.792041, -138.372371, -124.916795, -111.411974, -97.8445697, -84.2012441, -70.4686589, -56.6334758, -42.6823566, -28.6019631, -14.378957, 0, 17.3015483, 34.2193405, 50.8106714, 67.1328354, 83.2431274, 99.1988419, 115.057274, 130.875717, 146.711467, 162.621818, 178.664064, 194.895501, 211.373423, 228.155125, 245.297901, 262.859046, 280.968778, 299.694809, 318.929488, 338.745736, 359.216474, 380.414624, 402.413107, 425.284842, 449.102753, 473.939759, 499.868781, 526.962742, 555.294561, 584.716915, 615.603726, 648.09399, 682.326701, 718.271633, 756.152392, 796.237707, 838.71734, 883.781051, 931.618603, 982.419756, 1036.39799, 1093.71214, 1154.5473, 1219.0886, 1287.52117, 1359.51749, 1435.90346, 1516.99236, 1603.09747, 1694.53206, 1790.1843, 1893.53437, 2008.86511, 2137.77539, 2276.38419, 2423.27085, 2577.01471, 2733.88909, 2895.30344, 3065.18285, 3247.21915, 3436.94269, 3627.65482, 3817.92145, 4015.22897, 4222.96911, 4459.90867, 4733.42549, 4994.5223, 5226.09079, 5368.71106, 5454.09585, 5479.78315, 5443.31098, 5342.21734, 4754.77945, 4202.61128, 3788.06601, 3613.49685, 3781.25697, 4961.8822, 6310.75469, 7686.72079, 8443.82634, 8640.73456, 8546.44224, 8209.09595, 7676.84223, 6997.82766, 6220.19878, 5477.91357, 4716.74936, 3958.50481, 3224.97858, 2537.96934, 1919.27574, 1390.69646, 852.457114, 367.749927},
1956  {-1373.5761, -1358.8443, -1344.26317, -1329.82561, -1315.52454, -1301.35284, -1287.30343, -1273.36919, -1259.54303, -1245.81785, -1232.18655, -1218.64204, -1205.1772, -1191.78494, -1178.45817, -1165.18977, -1151.97266, -1138.79973, -1125.66389, -1112.55802, -1099.47504, -1086.40784, -1073.34932, -1060.29239, -1047.22994, -1034.15488, -1021.0601, -1007.93851, -994.782998, -981.586475, -968.341837, -955.041985, -941.679819, -928.24824, -914.31163, -900.086161, -885.793156, -871.439422, -857.031766, -842.576994, -828.081912, -813.553328, -798.998047, -784.422876, -769.834622, -755.240091, -740.64609, -726.059425, -711.486903, -696.93533, -682.411513, -668.363353, -654.347, -640.359698, -626.398691, -612.461225, -598.544543, -584.645891, -570.762512, -556.891651, -543.030553, -529.176461, -515.326621, -501.478277, -487.628673, -473.775053, -459.914663, -445.927988, -431.698315, -417.463697, -403.228948, -388.998879, -374.778306, -360.572042, -346.384899, -332.221692, -318.087234, -303.986339, -289.923819, -275.904489, -261.933162, -248.014651, -234.153771, -220.355333, -207.23224, -194.472469, -181.756694, -169.069993, -156.397446, -143.724133, -131.035134, -118.31553, -105.550399, -92.7248221, -79.8238788, -66.8326491, -53.7362128, -40.5196498, -27.1680401, -13.6664636, 0, 16.8451038, 33.293533, 49.4028704, 65.2306982, 80.8345993, 96.272156, 111.600951, 126.878567, 142.162586, 157.510591, 172.980164, 188.628888, 204.514346, 220.69412, 237.225792, 254.166946, 271.727962, 289.98825, 308.659778, 327.832872, 347.597857, 368.045056, 389.264797, 411.347402, 434.383198, 458.46251, 483.675662, 510.112979, 537.864787, 567.094841, 597.79311, 630.027892, 663.867482, 698.83079, 735.260806, 773.647021, 814.222546, 857.220492, 902.873972, 951.416095, 1003.9063, 1059.49989, 1118.26829, 1180.28294, 1245.61528, 1312.02187, 1382.46775, 1457.60308, 1538.07802, 1624.54273, 1718.00101, 1818.31715, 1929.11705, 2051.17194, 2179.42477, 2311.43527, 2444.76316, 2571.72603, 2696.31714, 2828.24841, 2977.41886, 3132.91993, 3284.18792, 3427.50539, 3570.75552, 3716.49661, 3886.48345, 4088.25121, 4258.94795, 4375.53668, 4387.67093, 4303.82462, 4110.41401, 3793.8554, 3340.56505, 2006.30315, 690.806083, -436.845851, -1207.57236, -1452.29313, -180.708766, 1407.56251, 3129.64993, 4201.00234, 4676.91414, 4863.3799, 4803.15903, 4539.01091, 4113.69495, 3569.97054, 2980.82129, 2368.8479, 1751.63215, 1146.75581, 571.80066, 44.3484677, -418.018991, -857.938147, -1285.90712},
1957  {-1295.44714, -1284.44475, -1273.24877, -1261.86669, -1250.30599, -1238.57416, -1226.67866, -1214.627, -1202.42665, -1190.08509, -1177.6098, -1165.00827, -1152.28799, -1139.45643, -1126.52108, -1113.48941, -1100.36892, -1087.16708, -1073.89138, -1060.5493, -1047.14832, -1033.69593, -1020.1996, -1006.66683, -993.105088, -979.521864, -965.924639, -952.320896, -938.718116, -925.123784, -911.545381, -897.990391, -884.466296, -870.980578, -857.932871, -845.126334, -832.359413, -819.626864, -806.923444, -794.24391, -781.583018, -768.935525, -756.296188, -743.659763, -731.021007, -718.374676, -705.715528, -693.038319, -680.337805, -667.608744, -654.845891, -641.709563, -628.536208, -615.327831, -602.08644, -588.814041, -575.512641, -562.184247, -548.830864, -535.454501, -522.057163, -508.640858, -495.207591, -481.75937, -468.298202, -454.826092, -441.345048, -427.830424, -414.258216, -400.685396, -387.115701, -373.552863, -360.000618, -346.4627, -332.942844, -319.444783, -305.972252, -292.528985, -279.118718, -265.745184, -252.412117, -239.123253, -225.882326, -212.693069, -200.098419, -187.821169, -175.577629, -163.354036, -151.136626, -138.911636, -126.665301, -114.383859, -102.053544, -89.6605947, -77.1912457, -64.6317337, -51.9682952, -39.1871663, -26.2745832, -13.2167824, 0, 16.2259008, 32.0707647, 47.5903806, 62.8405371, 77.8770231, 92.7556272, 107.532138, 122.262345, 137.002036, 151.807, 166.733026, 181.835903, 197.171419, 212.795363, 228.763524, 245.13169, 262.11871, 279.803666, 297.873523, 316.419011, 335.53086, 355.2998, 375.816561, 397.171873, 419.456466, 442.761069, 467.176413, 492.793227, 519.702242, 548.099557, 577.931896, 609.25838, 642.138128, 676.250712, 711.845025, 749.271173, 788.702138, 830.310905, 874.270456, 920.753775, 970.473381, 1022.89852, 1078.0966, 1136.13506, 1197.08132, 1260.18397, 1326.53396, 1396.40344, 1470.06451, 1547.78931, 1628.53804, 1715.49822, 1813.33151, 1923.57519, 2041.38766, 2164.79129, 2291.80846, 2419.05471, 2546.27902, 2674.76512, 2803.12109, 2932.93776, 3077.72439, 3236.953, 3386.31019, 3512.40048, 3602.08648, 3642.03961, 3617.98486, 3516.18256, 3378.91816, 3127.80764, 2729.71805, 2151.51642, 1360.06979, -815.413546, -2985.99312, -4900.38721, -6307.3141, -6955.49207, -5430.83382, -3420.06692, -1170.25489, 273.350942, 979.636388, 1350.06553, 1436.89527, 1292.38252, 968.784185, 518.357177, 139.783921, -307.164391, -797.383413, -1305.7688, -1807.21621, -2276.62129, -2688.8797, -2974.60317, -3327.04718},
1958  {-1218.35287, -1208.13344, -1197.75858, -1187.23392, -1176.56509, -1165.75772, -1154.81744, -1143.74987, -1132.56065, -1121.25541, -1109.83977, -1098.31937, -1086.69984, -1074.9868, -1063.18589, -1051.30273, -1039.34295, -1027.31219, -1015.21607, -1003.06023, -990.850284, -978.591874, -966.290626, -953.952168, -941.582132, -929.186147, -916.769841, -904.338846, -891.898789, -879.455302, -867.014014, -854.580553, -842.160551, -829.759635, -817.695003, -805.809948, -793.944017, -782.092729, -770.251604, -758.416159, -746.581914, -734.744386, -722.899096, -711.041561, -699.1673, -687.271833, -675.350676, -663.39935, -651.413373, -639.388263, -627.31954, -614.907329, -602.448946, -589.946313, -577.40135, -564.815982, -552.19213, -539.531715, -526.836661, -514.10889, -501.350323, -488.562883, -475.748493, -462.909073, -450.046548, -437.162838, -424.259866, -411.298978, -398.242495, -385.176024, -372.104117, -359.031327, -345.962207, -332.901308, -319.853184, -306.822386, -293.813469, -280.830984, -267.879483, -254.96352, -242.087646, -229.256416, -216.47438, -203.746091, -191.650816, -179.893662, -168.172829, -156.47422, -144.783735, -133.087277, -121.370748, -109.62005, -97.8210857, -85.9597561, -74.0219636, -61.9936102, -49.8605979, -37.6088287, -25.2242047, -12.6926278, 0, 15.3638125, 30.4250209, 45.2331521, 59.837733, 74.2882905, 88.6343516, 102.925443, 117.211092, 131.540825, 145.964169, 160.530652, 175.289799, 190.291138, 205.584196, 221.2185, 237.243576, 253.817501, 271.005309, 288.610998, 306.707357, 325.367172, 344.663231, 364.668322, 385.455232, 407.096748, 429.665657, 453.234748, 477.876808, 503.664624, 530.520586, 558.723024, 588.389846, 619.638958, 652.789767, 687.859431, 724.81137, 763.70304, 804.591899, 847.535403, 892.591006, 939.002168, 987.888081, 1039.46546, 1093.95103, 1151.56149, 1211.97529, 1276.08199, 1344.23289, 1416.77927, 1494.07242, 1577.0968, 1664.79665, 1757.42602, 1854.95017, 1956.74481, 2062.45032, 2171.70711, 2286.77121, 2404.07293, 2517.18914, 2617.48789, 2713.36818, 2829.0993, 2965.72595, 3084.93994, 3166.49673, 3184.90334, 3118.55449, 2965.08912, 2711.26057, 2467.53446, 2077.91915, 1486.34449, 636.74031, -526.963538, -3668.66433, -6834.64834, -9679.02894, -11855.9195, -13019.4335, -11282.2827, -8867.58299, -6090.04842, -4259.50791, -3296.7758, -2708.03522, -2434.83207, -2418.71226, -2601.22167, -2923.90624, -3075.87125, -3359.37111, -3733.90412, -4158.96859, -4594.06282, -4998.68511, -5332.33377, -5490.4468, -5762.20713},
1959  {-1139.48068, -1126.70171, -1114.26581, -1102.15652, -1090.35734, -1078.85181, -1067.62343, -1056.65574, -1045.93224, -1035.43646, -1025.15192, -1015.06214, -1005.15064, -995.400931, -985.796544, -976.320995, -966.957804, -957.69049, -948.502573, -939.377573, -930.29901, -921.250404, -912.215274, -903.177141, -894.119524, -885.025943, -875.879917, -866.664968, -857.364613, -847.962374, -838.44177, -828.786321, -818.979547, -809.004967, -797.920786, -786.192645, -774.297305, -762.248314, -750.05922, -737.743571, -725.314916, -712.786802, -700.172778, -687.486391, -674.74119, -661.950723, -649.128537, -636.288182, -623.443204, -610.607152, -597.793575, -585.881805, -574.000838, -562.145451, -550.310425, -538.49054, -526.680574, -514.875308, -503.06952, -491.257991, -479.4355, -467.596826, -455.73675, -443.850049, -431.931505, -419.975897, -407.978003, -395.724741, -383.008016, -370.251311, -357.462881, -344.650981, -331.823864, -318.989785, -306.157, -293.333761, -280.528324, -267.748943, -255.003873, -242.301368, -229.649683, -217.057071, -204.531789, -192.082089, -180.487834, -169.355244, -158.281268, -147.249119, -136.242011, -125.24316, -114.235778, -103.203082, -92.1282851, -80.9946015, -69.7852457, -58.4834321, -47.0723751, -35.535289, -23.8553883, -12.0158871, 0, 14.3703579, 28.56094, 42.6118138, 56.5630469, 70.4547067, 84.3268608, 98.2195768, 112.172922, 126.226964, 140.421771, 154.797409, 169.393947, 184.251452, 199.409992, 214.909633, 230.790444, 247.124874, 263.957615, 281.255493, 299.065512, 317.43468, 336.410003, 356.038487, 376.36714, 397.442966, 419.312973, 442.024167, 465.623554, 490.158141, 515.127672, 541.327079, 568.967546, 598.260259, 630.311728, 664.885475, 701.506271, 740.116703, 780.659358, 823.076825, 867.311691, 910.793582, 956.742862, 1005.59379, 1057.78061, 1113.73758, 1171.0638, 1233.73746, 1302.90162, 1379.69932, 1465.2736, 1567.85749, 1672.83851, 1770.89827, 1857.81597, 1939.77835, 2018.29935, 2094.89294, 2174.52151, 2254.46685, 2328.24883, 2392.38719, 2447.27458, 2502.83026, 2557.23651, 2588.78796, 2584.90802, 2543.30606, 2454.07223, 2269.58135, 1963.54219, 1658.75407, 1156.89813, 380.074836, -749.615343, -2310.07194, -6445.9487, -10651.7024, -14488.544, -17517.6846, -19300.335, -17510.9933, -14855.3922, -11703.3339, -9556.79583, -8337.42759, -7495.13942, -6975.16804, -6722.75016, -6683.12252, -6801.52182, -6735.59458, -6869.4191, -7140.77584, -7487.44526, -7847.20782, -8157.84396, -8357.13416, -8428.71785, -8595.6289},
1960  {-1068.67232, -1056.21583, -1044.21776, -1032.65596, -1021.50823, -1010.75241, -1000.36632, -990.327787, -980.614635, -971.204689, -962.075775, -953.205716, -944.572339, -936.153468, -927.926929, -919.870546, -911.962144, -904.179549, -896.500585, -888.903078, -881.364853, -873.863734, -866.377547, -858.884117, -851.361268, -843.786826, -836.138616, -828.394463, -820.532192, -812.529628, -804.364596, -796.014921, -787.458428, -778.672942, -768.382833, -757.219019, -745.827481, -734.226723, -722.435246, -710.471553, -698.354146, -686.101526, -673.732196, -661.264659, -648.717415, -636.108967, -623.457817, -610.782467, -598.10142, -585.433177, -572.796241, -561.360839, -549.96878, -538.6136, -527.288833, -515.988015, -504.704679, -493.432362, -482.164597, -470.894921, -459.616867, -448.323971, -437.009768, -425.667793, -414.29158, -402.874664, -391.410581, -379.650984, -367.353332, -355.010024, -342.630275, -330.223301, -317.798317, -305.364537, -292.931177, -280.507452, -268.102577, -255.725768, -243.386238, -231.093205, -218.855882, -206.683485, -194.585229, -182.570329, -171.483803, -160.899385, -150.380763, -139.910028, -129.469272, -119.040588, -108.606067, -98.1478005, -87.6478804, -77.0883984, -66.4514464, -55.719116, -44.873499, -33.8966871, -22.7707722, -11.4778459, 0, 13.6904693, 27.2623608, 40.7505076, 54.1897431, 67.6149004, 81.0608127, 94.5623133, 108.154235, 121.871412, 135.748677, 149.820863, 164.122803, 178.689331, 193.55528, 208.755482, 224.324772, 240.347877, 256.866757, 273.80339, 291.203301, 309.112015, 327.575056, 346.63795, 366.346221, 386.745393, 407.880993, 429.798544, 452.543571, 476.161599, 500.079406, 525.188137, 551.718942, 579.902971, 611.025508, 644.790635, 680.62133, 718.432499, 758.139052, 799.655897, 842.89794, 885.196909, 929.837079, 977.238765, 1027.82228, 1082.00793, 1135.32869, 1194.31406, 1260.60619, 1335.84722, 1421.6793, 1529.96781, 1639.63664, 1737.80595, 1818.44615, 1889.51351, 1952.68493, 2009.63732, 2063.51179, 2114.18826, 2159.94927, 2206.23222, 2241.63563, 2264.93208, 2269.64007, 2240.37532, 2165.84008, 2048.94342, 1882.07084, 1605.51612, 1189.03907, 787.170346, 156.472612, -797.253474, -2168.20725, -4050.58807, -8903.25018, -13864.5743, -18437.596, -22125.3508, -24430.8745, -22769.6527, -20123.9709, -16891.5289, -14665.1725, -13369.5229, -12431.224, -11799.7961, -11424.7594, -11255.6339, -11241.94, -10983.8071, -10994.174, -11183.2284, -11461.1579, -11738.15, -11924.3923, -11930.0724, -11871.9801, -11839.2614},
1961  {-1003.72827, -994.401006, -985.297653, -976.404899, -967.70943, -959.197932, -950.857092, -942.673595, -934.634127, -926.725374, -918.934022, -911.246758, -903.650266, -896.131233, -888.676345, -881.272289, -873.905749, -866.563412, -859.231963, -851.89809, -844.548477, -837.169811, -829.748778, -822.272063, -814.726353, -807.098334, -799.374691, -791.54211, -783.587278, -775.496881, -767.257604, -758.856133, -750.279155, -741.513355, -731.729929, -721.340462, -710.766338, -700.020707, -689.11672, -678.067526, -666.886277, -655.586122, -644.180211, -632.681694, -621.103722, -609.459445, -597.762013, -586.024576, -574.260284, -562.482288, -550.703737, -539.69608, -528.697731, -517.705402, -506.715803, -495.725648, -484.731647, -473.730512, -462.718956, -451.693689, -440.651424, -429.588873, -418.502747, -407.389758, -396.246618, -385.070038, -373.85673, -362.427721, -350.608255, -338.757381, -326.883201, -314.993816, -303.097325, -291.20183, -279.315432, -267.446231, -255.602328, -243.791824, -232.02282, -220.303416, -208.641712, -197.045811, -185.523812, -174.083816, -163.5412, -153.483447, -143.488337, -133.537772, -123.613656, -113.697893, -103.772384, -93.8190331, -83.8197436, -73.7564183, -63.6109605, -53.365273, -43.001259, -32.5008217, -21.845864, -11.0182891, 0, 13.4518197, 26.7619843, 39.9658862, 53.098918, 66.1964723, 79.2939416, 92.4267184, 105.630195, 118.939765, 132.39082, 146.018753, 159.858955, 173.946821, 188.317743, 203.007112, 218.050322, 233.690463, 249.992601, 266.522332, 283.359555, 300.584171, 318.276078, 336.515176, 355.381365, 374.954543, 395.314611, 416.541468, 438.715014, 461.915147, 486.019018, 511.383618, 538.14967, 566.457898, 596.811604, 629.170222, 663.396503, 699.522399, 737.57986, 777.60084, 819.61729, 863.418509, 909.352952, 957.500046, 1007.93922, 1060.74989, 1108.15747, 1160.05892, 1218.49716, 1285.51512, 1363.15575, 1463.97259, 1566.65164, 1661.56911, 1743.24313, 1814.64816, 1874.96196, 1923.36229, 1952.49464, 1969.55361, 1988.85983, 2036.05311, 2076.00299, 2089.68503, 2061.59838, 1982.21276, 1839.25727, 1632.63347, 1353.22631, 947.288451, 386.319114, -150.250125, -930.842022, -2055.93396, -3626.00331, -5741.52747, -10926.454, -16251.9225, -21212.5429, -25302.925, -28017.6786, -26779.7768, -24536.5574, -21670.4746, -19689.9552, -18531.7559, -17663.4782, -17045.3365, -16637.5453, -16400.319, -16293.8721, -15893.5914, -15818.9271, -15948.0993, -16159.3283, -16330.8343, -16340.8376, -16067.5585, -15846.3563, -15497.7201},
1962  {-946.797945, -941.201345, -935.487081, -929.655532, -923.707072, -917.642078, -911.460926, -905.163993, -898.751654, -892.224286, -885.582265, -878.825967, -871.955768, -864.972045, -857.875173, -850.66553, -843.34349, -835.909431, -828.363728, -820.706758, -812.938896, -805.06052, -797.072005, -788.973727, -780.766063, -772.449388, -764.02408, -755.490514, -746.849066, -738.100112, -729.24403, -720.281194, -711.211981, -702.036768, -692.654321, -683.117959, -673.48222, -663.750778, -653.927307, -644.015481, -634.018972, -623.941455, -613.786603, -603.55809, -593.259588, -582.894773, -572.467318, -561.980895, -551.439179, -540.845843, -530.204561, -519.619415, -508.991493, -498.322292, -487.61331, -476.866043, -466.081988, -455.262642, -444.409502, -433.524065, -422.607828, -411.662288, -400.688942, -389.689287, -378.664819, -367.617035, -356.547434, -345.38383, -334.055812, -322.716834, -311.37317, -300.031094, -288.696879, -277.376798, -266.077124, -254.804131, -243.564093, -232.363281, -221.20797, -210.104434, -199.058944, -188.077776, -177.167201, -166.333493, -156.328428, -146.769848, -137.266632, -127.800863, -118.35462, -108.909984, -99.4490342, -89.9538522, -80.4065178, -70.7891114, -61.0837133, -51.272404, -41.3372637, -31.2603729, -21.0238117, -10.6096606, 0, 13.5090309, 26.7999574, 39.912497, 52.8863671, 65.7612854, 78.5769692, 91.3731361, 104.189504, 117.065789, 130.04171, 143.156984, 156.451329, 169.964461, 183.736099, 197.80596, 212.213761, 227.328319, 243.236365, 259.233227, 275.429144, 291.934353, 308.859095, 326.313607, 344.408128, 363.252896, 382.958151, 403.63413, 425.391074, 448.339219, 472.833743, 498.650136, 525.825154, 554.395555, 584.02927, 614.94747, 647.469676, 681.743291, 717.915721, 756.13437, 796.546641, 841.124701, 887.635829, 935.870412, 985.618834, 1036.67148, 1080.27848, 1126.90554, 1178.47811, 1236.92165, 1304.16159, 1390.52813, 1479.26954, 1566.63735, 1648.946, 1722.63834, 1784.09955, 1829.71483, 1843.40588, 1836.854, 1835.337, 1876.0452, 1910.6562, 1914.18923, 1865.88199, 1752.12025, 1556.00869, 1265.60546, 865.299484, 321.316942, -389.842119, -1071.94312, -2002.02584, -3279.6522, -5004.3841, -7275.78343, -12531.8383, -17949.0778, -23042.4574, -27326.9324, -30317.4583, -29583.7441, -27882.8222, -25563.3249, -23985.1548, -23096.6495, -22424.7843, -21938.9652, -21608.598, -21403.0888, -21291.8434, -20551.688, -20367.1114, -20531.3063, -20837.4654, -21078.7812, -21048.4466, -20539.6542, -20164.6455, -19457.8725},
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1964  {-851.022377, -847.220165, -843.211925, -839.001789, -834.593885, -829.992343, -825.201293, -820.224864, -815.067187, -809.732391, -804.224607, -798.547962, -792.706588, -786.704614, -780.54617, -774.235385, -767.77639, -761.173313, -754.430285, -747.551436, -740.540894, -733.402791, -726.141255, -718.760416, -711.264405, -703.65735, -695.943381, -688.126629, -680.211223, -672.201293, -664.100968, -655.914378, -647.645652, -639.298922, -631.02294, -622.746482, -614.396585, -605.972687, -597.474223, -588.900629, -580.251343, -571.5258, -562.723437, -553.843691, -544.885997, -535.849793, -526.734513, -517.539596, -508.264477, -498.908593, -489.47138, -479.719483, -469.890176, -459.987942, -450.017264, -439.982626, -429.888509, -419.739397, -409.539772, -399.294118, -389.006918, -378.682653, -368.325807, -357.940864, -347.532305, -337.104614, -326.662273, -316.192819, -305.684194, -295.175833, -284.673318, -274.182229, -263.708149, -253.256658, -242.833339, -232.443772, -222.093539, -211.788222, -201.533402, -191.334661, -181.19758, -171.12774, -161.130723, -151.21211, -142.131235, -133.500949, -124.925044, -116.38464, -107.860859, -99.3348218, -90.7876481, -82.2004592, -73.5543758, -64.8305188, -56.0100088, -47.0739666, -38.003513, -28.7797688, -19.3838547, -9.79689152, 0, 13.4710037, 26.6212654, 39.4959693, 52.1402999, 64.5994415, 76.9185783, 89.1428948, 101.317575, 113.487804, 125.698765, 137.995644, 150.423624, 163.027889, 175.853624, 188.946014, 202.350242, 216.222973, 230.625316, 245.3503, 260.466998, 276.044482, 292.151826, 308.858102, 326.232383, 344.343741, 363.26125, 383.053982, 403.791009, 425.541405, 448.390927, 472.385846, 497.590228, 524.068141, 551.961252, 581.294828, 612.073444, 644.337888, 678.128945, 713.487405, 750.454054, 788.751721, 828.835923, 870.809655, 914.775914, 960.837698, 1007.38242, 1056.65755, 1109.19499, 1165.52663, 1226.18436, 1296.15515, 1366.07072, 1434.73236, 1499.83965, 1556.84273, 1602.20172, 1632.37671, 1639.53803, 1625.41049, 1596.39866, 1563.07461, 1506.36628, 1432.75939, 1331.14816, 1160.61897, 893.940473, 498.305024, -54.9644263, -774.098438, -1678.89326, -2575.90938, -3730.98431, -5237.72669, -7189.74515, -9680.64833, -14988.8986, -20477.0374, -25692.46, -30182.5615, -33494.7371, -33396.0095, -32401.0614, -30820.3048, -29872.2764, -29507.9223, -29299.8029, -29217.7834, -29231.729, -29311.5047, -29426.9759, -27588.7649, -27155.5433, -27647.2339, -28583.7595, -29485.043, -29871.0072, -29261.575, -28728.4274, -27521.1158},
1965  {-807.945011, -804.590296, -801.023677, -797.249715, -793.272976, -789.098023, -784.729419, -780.171727, -775.429512, -770.507337, -765.409765, -760.14136, -754.706685, -749.110305, -743.356782, -737.450681, -731.396564, -725.198996, -718.862539, -712.391758, -705.791216, -699.065476, -692.219102, -685.256658, -678.182708, -671.001814, -663.71854, -656.337451, -648.863108, -641.300077, -633.65292, -625.926202, -618.124485, -610.252333, -602.511639, -594.804151, -587.029246, -579.185084, -571.269825, -563.281629, -555.218655, -547.079063, -538.861014, -530.562667, -522.182181, -513.717718, -505.167436, -496.529496, -487.802057, -478.98328, -470.071323, -460.727272, -451.293669, -441.775981, -432.179674, -422.510217, -412.773076, -402.973718, -393.11761, -383.210219, -373.257012, -363.263456, -353.235018, -343.177165, -333.095364, -322.995082, -312.881786, -302.762012, -292.642271, -282.525824, -272.41807, -262.324406, -252.250229, -242.200938, -232.18193, -222.198603, -212.256355, -202.360583, -192.516685, -182.730058, -173.006101, -163.350211, -153.767786, -144.264224, -135.606278, -127.402655, -119.252909, -111.137729, -103.037806, -94.9338298, -86.8064911, -78.6364799, -70.4044864, -62.0912008, -53.6773133, -45.1435141, -36.4704934, -27.6389415, -18.6295485, -9.42300456, 0, 13.43669, 26.5084284, 39.2627002, 51.7469901, 64.0087831, 76.095564, 88.0548177, 99.934029, 111.780683, 123.642264, 135.566257, 147.600148, 159.79142, 172.187559, 184.83605, 197.784377, 211.052726, 224.684681, 238.789477, 253.408749, 268.584132, 284.357261, 300.76977, 317.863294, 335.679469, 354.259929, 373.646309, 393.880244, 415.003368, 436.886906, 459.805387, 483.851571, 509.118215, 536.067218, 564.606768, 594.546616, 625.868779, 658.555272, 692.588113, 727.949316, 763.257353, 800.272778, 839.244389, 880.420981, 924.051354, 971.971689, 1022.44655, 1075.32789, 1130.46766, 1187.71781, 1249.51562, 1309.96785, 1368.51244, 1423.42326, 1470.59769, 1507.00008, 1529.59483, 1536.22758, 1522.78114, 1484.17686, 1416.03225, 1315.17628, 1202.87846, 1073.32539, 874.813181, 576.702416, 139.663977, -469.194434, -1250.90283, -2224.51434, -3216.72363, -4468.53589, -6065.58986, -8093.52428, -10637.9779, -15818.126, -21177.6866, -26293.9144, -30744.0639, -34105.3898, -34302.746, -33667.3883, -32484.7429, -31883.8503, -31816.2062, -31881.8004, -32049.704, -32288.9879, -32568.7231, -32857.9807, -30751.7383, -30315.9514, -30983.9466, -32189.0503, -33364.5891, -33943.8894, -33360.2778, -32790.9371, -31438.7823},
1966  {-766.056631, -762.904483, -759.563627, -756.03783, -752.330858, -748.446476, -744.38845, -740.160547, -735.766532, -731.21017, -726.495229, -721.625474, -716.60467, -711.436585, -706.124983, -700.67363, -695.086293, -689.366738, -683.51873, -677.546036, -671.45242, -665.24165, -658.917491, -652.483709, -645.94407, -639.30234, -632.562284, -625.72767, -618.802262, -611.789827, -604.69413, -597.518937, -590.268015, -582.94513, -575.734864, -568.546773, -561.288235, -553.95715, -546.551416, -539.068929, -531.507589, -523.865294, -516.139941, -508.329428, -500.431654, -492.444516, -484.365913, -476.193742, -467.925902, -459.560291, -451.094806, -442.157812, -433.124751, -424.001533, -414.794066, -405.508258, -396.15002, -386.725259, -377.239884, -367.699805, -358.110929, -348.479166, -338.810425, -329.110615, -319.385643, -309.64142, -299.883853, -290.12677, -280.383807, -270.644542, -260.914373, -251.198693, -241.502898, -231.832385, -222.192548, -212.588783, -203.026486, -193.511051, -184.047876, -174.642355, -165.299883, -156.025856, -146.825671, -137.704721, -129.441622, -121.638896, -113.889772, -106.174553, -98.4735428, -90.7670439, -83.0353595, -75.2587929, -67.4176469, -59.4922249, -51.4628299, -43.3097649, -35.0133331, -26.5538376, -17.9115816, -9.06686798, 0, 13.3072284, 26.2250108, 38.8017921, 51.0860174, 63.1261315, 74.9705796, 86.6678067, 98.2662577, 109.814378, 121.360611, 132.953404, 144.641201, 156.472447, 168.495586, 180.759065, 193.311327, 206.044678, 218.985258, 232.534685, 246.707945, 261.520025, 276.985911, 293.12059, 309.939048, 327.456271, 345.687247, 364.646961, 384.3504, 404.81255, 425.680385, 447.471842, 470.312312, 494.327186, 520.260982, 547.929527, 576.983546, 607.362691, 639.006615, 671.854969, 705.847407, 739.027385, 773.807853, 810.499457, 849.412843, 890.858659, 938.739101, 988.875377, 1040.68025, 1093.56647, 1146.94679, 1201.72058, 1253.99705, 1303.03819, 1347.35906, 1383.94978, 1410.48516, 1424.63998, 1429.39619, 1415.91525, 1369.569, 1274.94751, 1139.56824, 992.483685, 831.295308, 600.312503, 268.306594, -204.430981, -851.327389, -1674.71686, -2694.52156, -3771.51955, -5109.26078, -6782.75574, -8867.01493, -11437.0488, -16417.5203, -21571.3744, -26511.2085, -30849.62, -34199.2064, -34665.2077, -34372.4835, -33579.6416, -33318.3764, -33541.2822, -33878.8337, -34299.731, -34772.6746, -35266.3644, -35749.5007, -33751.4564, -33447.27, -34258.2943, -35605.8825, -36911.3873, -37596.1616, -37081.5586, -36507.5883, -35119.8911},
1967  {-723.843768, -720.690405, -717.403263, -713.983876, -710.433779, -706.754507, -702.947594, -699.014576, -694.956987, -690.776362, -686.474234, -682.05214, -677.511614, -672.85419, -668.081404, -663.194789, -658.195881, -653.086215, -647.867324, -642.540744, -637.108009, -631.570655, -625.930215, -620.188225, -614.346219, -608.405732, -602.368299, -596.235454, -590.008732, -583.689668, -577.279796, -570.780651, -564.193768, -557.520682, -550.841314, -544.116356, -537.30556, -530.407915, -523.422413, -516.348045, -509.183801, -501.928673, -494.581651, -487.141727, -479.607891, -471.979134, -464.254447, -456.432821, -448.513247, -440.494715, -432.376218, -423.849288, -415.22704, -406.515128, -397.719208, -388.844936, -379.897969, -370.883962, -361.808572, -352.677453, -343.496262, -334.270656, -325.006289, -315.708819, -306.3839, -297.037189, -287.674342, -278.301415, -268.924452, -259.548287, -250.178549, -240.820868, -231.480874, -222.164197, -212.876468, -203.623316, -194.410371, -185.243264, -176.127624, -167.069082, -158.073267, -149.145809, -140.29234, -131.518487, -123.620671, -116.192493, -108.818052, -101.477315, -94.1502502, -86.816824, -79.4570043, -72.0507585, -64.5780541, -57.0188584, -49.353139, -41.5608633, -33.6219986, -25.5165125, -17.2243725, -8.72554579, 0, 13.0189083, 25.6548225, 37.9550186, 49.9667724, 61.7373599, 73.3140569, 84.7441394, 96.0748833, 107.353565, 118.627459, 129.943843, 141.349991, 152.893181, 164.620687, 176.579787, 188.817755, 201.129265, 213.525509, 226.625123, 240.421253, 254.907047, 270.075652, 285.920214, 302.433881, 319.609799, 337.441117, 355.920979, 375.042535, 394.79893, 414.635796, 435.294551, 456.932597, 479.707337, 504.538406, 531.202088, 559.271407, 588.675093, 619.341877, 651.200492, 684.179668, 716.664057, 750.596408, 786.207555, 823.728333, 863.389575, 908.799611, 955.967406, 1004.27942, 1053.12211, 1101.88195, 1151.62992, 1198.00907, 1239.00258, 1272.84276, 1298.27049, 1313.79834, 1317.93885, 1317.0914, 1300.08925, 1247.16183, 1139.56714, 985.751153, 810.772702, 612.13035, 340.623336, -31.5133421, -535.574867, -1200.24147, -2041.24941, -3081.65678, -4231.36782, -5644.00277, -7381.7884, -9506.95143, -12081.7186, -16814.3582, -21709.5451, -26417.9956, -30590.4262, -33877.5531, -34574.8862, -34591.8195, -34159.8722, -34209.0626, -34694.4207, -35279.9354, -35935.1888, -36629.7631, -37333.2405, -38015.2031, -36643.2604, -36644.5857, -37534.129, -38826.8401, -40037.669, -40681.5655, -40273.4795, -39728.6776, -38444.0017},
1968  {-673.679382, -670.093966, -666.520683, -662.954605, -659.390801, -655.824344, -652.250303, -648.66375, -645.059755, -641.433389, -637.779723, -634.093827, -630.370773, -626.605631, -622.793471, -618.929365, -615.008384, -611.025597, -606.976077, -602.854893, -598.657117, -594.377819, -590.01207, -585.55494, -581.001502, -576.346824, -571.585979, -566.714036, -561.726067, -556.617143, -551.382333, -546.01671, -540.515343, -534.873303, -528.806297, -522.454952, -515.963257, -509.335349, -502.575364, -495.687438, -488.675709, -481.544314, -474.297388, -466.939069, -459.473494, -451.904799, -444.23712, -436.474596, -428.621361, -420.681554, -412.65931, -404.588301, -396.44249, -388.225372, -379.940443, -371.591201, -363.181142, -354.713762, -346.192558, -337.621026, -329.002663, -320.340965, -311.639428, -302.90155, -294.130826, -285.330753, -276.504828, -267.609918, -258.604011, -249.586771, -240.564717, -231.544369, -222.532246, -213.534867, -204.558751, -195.610417, -186.696385, -177.823174, -168.997302, -160.22529, -151.513656, -142.86892, -134.297601, -125.806217, -118.224707, -111.130561, -104.091373, -97.0869405, -90.0970609, -83.101532, -76.0801515, -69.0127171, -61.8790265, -54.6588774, -47.3320675, -39.8783943, -32.2776557, -24.5096493, -16.5541727, -8.39102374, 0, 12.3324083, 24.3548809, 36.109451, 47.638152, 58.983017, 70.1860793, 81.2893722, 92.3349289, 103.364783, 114.420967, 125.545515, 136.780459, 148.167834, 159.749672, 171.568007, 183.664871, 195.692219, 207.636359, 220.421645, 234.006524, 248.349439, 263.408836, 279.143159, 295.510854, 312.470364, 329.980135, 347.998611, 366.484238, 385.39546, 403.802758, 422.878127, 442.846402, 463.932416, 486.994034, 511.939574, 538.508548, 566.735882, 596.656501, 628.305331, 661.717296, 698.955603, 737.409594, 776.717357, 816.516981, 856.446555, 891.15663, 926.519714, 963.42078, 1002.7448, 1045.37674, 1099.51294, 1149.79091, 1186.14508, 1203.91104, 1209.45174, 1204.17906, 1189.50488, 1174.80738, 1151.72162, 1103.19216, 1027.19124, 905.188349, 723.284303, 468.255788, 128.024685, -310.012789, -842.412343, -1477.61715, -2282.91332, -3292.30207, -4512.11948, -6008.28808, -7824.38549, -10003.9893, -12590.6771, -17033.5445, -21619.2717, -26040.0567, -29988.0977, -33155.5928, -34042.3568, -34327.8934, -34215.4222, -34512.6899, -35183.6241, -35940.266, -36759.1375, -37616.7605, -38489.6568, -39354.3484, -40226.8493, -41063.2252, -41801.216, -42378.5613, -42733.0009, -42802.2747, -42524.1223, -42099.0796, -41316.6513},
1969  {-633.134032, -629.561437, -626.064089, -622.634261, -619.26422, -615.946239, -612.672586, -609.435532, -606.227347, -603.040302, -599.866666, -596.698709, -593.528702, -590.348915, -587.151618, -583.929082, -580.673575, -577.377369, -574.032734, -570.631939, -567.167256, -563.630953, -560.015302, -556.312572, -552.515033, -548.614957, -544.604612, -540.476269, -536.222198, -531.83467, -527.305953, -522.62832, -517.794039, -512.795382, -507.191779, -501.201024, -495.046114, -488.733364, -482.269092, -475.659613, -468.911245, -462.030303, -455.023106, -447.895968, -440.655207, -433.307139, -425.858081, -418.314349, -410.682261, -402.968132, -395.178279, -387.491174, -379.737246, -371.91908, -364.03926, -356.100372, -348.104999, -340.055726, -331.955139, -323.805821, -315.610357, -307.371332, -299.09133, -290.772936, -282.418734, -274.03131, -265.613247, -257.099235, -248.425594, -239.734937, -231.03425, -222.330519, -213.63073, -204.941869, -196.270921, -187.624873, -179.01071, -170.43542, -161.905986, -153.429397, -145.012636, -136.662692, -128.386548, -120.191192, -112.931515, -106.172714, -99.4697992, -92.8022386, -86.1495027, -79.4910612, -72.8063839, -66.0749406, -59.2762011, -52.3896353, -45.3947129, -38.2709038, -30.9976777, -23.5545045, -15.9208539, -8.07619581, 0, 11.7350793, 23.2342279, 34.533034, 45.6670856, 56.6719707, 67.5832773, 78.4365934, 89.2675071, 100.111606, 111.004479, 121.981714, 133.078898, 144.33162, 155.775468, 167.446029, 179.378892, 191.359811, 203.388684, 216.066198, 229.374407, 243.295361, 257.811114, 272.903717, 288.555224, 304.747685, 321.463153, 338.683681, 356.391321, 374.568125, 392.479223, 411.086461, 430.586967, 451.17787, 473.537161, 497.621537, 523.259466, 550.503816, 579.407459, 610.023263, 642.404097, 679.669643, 717.872581, 756.465755, 794.902005, 832.634174, 862.327761, 891.919786, 922.559923, 955.397851, 991.583246, 1039.92027, 1084.54863, 1117.02016, 1132.88214, 1135.83913, 1125.93327, 1103.20666, 1070.82625, 1024.99913, 958.523486, 882.977567, 762.969482, 563.469618, 265.356837, -123.533967, -607.741162, -1166.58825, -1798.07641, -2592.66133, -3588.50117, -4839.57917, -6365.79385, -8199.82548, -10374.3543, -12922.0607, -17109.7834, -21427.5046, -25599.3649, -29349.5049, -32402.0652, -33410.4617, -33883.3765, -34003.8323, -34501.7097, -35343.5669, -36268.1047, -37253.2744, -38277.0269, -39317.3134, -40352.085, -42236.2126, -43491.1468, -44235.9598, -44589.7233, -44671.5093, -44600.3897, -44495.4364, -44113.7306, -43540.2346},
1970  {-600.947329, -597.736631, -594.595268, -591.515799, -588.490786, -585.512791, -582.574376, -579.668102, -576.78653, -573.922222, -571.06774, -568.215644, -565.358497, -562.488859, -559.599294, -556.682361, -553.730622, -550.736639, -547.692974, -544.592187, -541.426841, -538.189497, -534.872716, -531.46906, -527.97109, -524.371368, -520.662456, -516.836914, -512.887304, -508.806189, -504.586129, -500.219685, -495.69942, -491.017895, -485.756205, -480.121301, -474.325075, -468.373443, -462.272318, -456.027616, -449.64525, -443.131134, -436.491184, -429.731313, -422.857436, -415.875467, -408.79132, -401.61091, -394.340151, -386.984958, -379.551245, -372.190906, -364.760711, -357.26341, -349.701752, -342.078488, -334.396366, -326.658137, -318.866551, -311.024357, -303.134305, -295.199144, -287.221626, -279.204498, -271.150512, -263.062416, -254.942961, -246.727777, -238.354104, -229.963123, -221.561934, -213.157638, -204.757336, -196.368129, -187.997118, -179.651403, -171.338086, -163.064267, -154.837048, -146.663528, -138.55081, -130.505994, -122.53618, -114.64847, -107.715576, -101.293586, -94.9281844, -88.5983813, -82.2831867, -75.9616109, -69.6126638, -63.2153555, -56.7486963, -50.1916962, -43.5233653, -36.7227137, -29.7687516, -22.6404891, -15.3169362, -7.77710316, 0, 11.3305105, 22.4749012, 33.4633079, 44.3258661, 55.0927114, 65.7939795, 76.459806, 87.1203265, 97.8056767, 108.545992, 119.371408, 130.312061, 141.398086, 152.659618, 164.126794, 175.829749, 187.834614, 200.176669, 212.804627, 225.756339, 239.069654, 252.78242, 266.932486, 281.557703, 296.695918, 312.384981, 328.662741, 345.567048, 363.13575, 381.166713, 400.025763, 419.822745, 440.667502, 463.036964, 486.857432, 511.957319, 538.336344, 565.994225, 594.930682, 625.145434, 658.71456, 692.929482, 727.383674, 761.670612, 795.38377, 824.608671, 853.323727, 881.999402, 911.106158, 941.114457, 976.674275, 1008.96827, 1037.55224, 1060.31829, 1071.76171, 1067.9029, 1044.76224, 994.804369, 918.413557, 819.853054, 717.358971, 571.53771, 345.261775, 18.9352595, -397.331446, -907.063629, -1489.34357, -2141.35947, -2949.92392, -3951.15287, -5204.01803, -6718.26336, -8522.09321, -10643.7119, -13111.3239, -17071.7657, -21154.9513, -25109.4272, -28683.7397, -31626.435, -32705.2437, -33303.4051, -33589.815, -34249.8017, -35247.8399, -36333.2242, -37481.1886, -38666.9667, -39865.7924, -41052.8995, -42819.4935, -44118.4321, -45023.3676, -45607.9521, -45945.8379, -46110.6773, -46176.1226, -45820.2598, -45211.5649},
1971  {-573.713799, -571.017105, -568.349071, -565.704136, -563.076741, -560.461323, -557.852324, -555.244182, -552.631336, -550.008227, -547.369293, -544.708975, -542.021711, -539.301942, -536.544106, -533.742643, -530.891992, -527.986594, -525.020887, -521.989311, -518.886306, -515.70631, -512.443764, -509.093106, -505.648777, -502.105216, -498.456862, -494.698154, -490.823533, -486.827438, -482.704308, -478.448582, -474.054701, -469.517103, -464.531059, -459.246887, -453.818497, -448.250038, -442.545659, -436.709507, -430.74573, -424.658476, -418.451894, -412.130131, -405.697335, -399.157656, -392.515239, -385.774235, -378.938791, -372.013054, -365.001173, -357.939653, -350.799584, -343.584412, -336.297583, -328.942546, -321.522745, -314.041628, -306.502642, -298.909233, -291.264848, -283.572933, -275.836935, -268.0603, -260.246476, -252.398909, -244.521045, -236.560542, -228.466394, -220.357113, -212.23976, -204.121399, -196.009094, -187.909908, -179.830904, -171.779145, -163.761695, -155.785616, -147.857973, -139.985828, -132.176245, -124.436287, -116.773018, -109.1935, -102.585481, -96.4971598, -90.4661465, -84.4709248, -78.4899779, -72.5017894, -66.4848424, -60.4176204, -54.2786068, -48.0462848, -41.6991379, -35.2156493, -28.5743026, -21.7535809, -14.7319677, -7.48794625, 0, 11.1683141, 22.1578673, 32.9962657, 43.7111154, 54.3300227, 64.8805938, 75.3904347, 85.8871518, 96.3983511, 106.951639, 117.574621, 128.294904, 139.140095, 150.137798, 161.315621, 172.701169, 184.616126, 197.130109, 209.605549, 222.133071, 234.803295, 247.706845, 260.934344, 274.576414, 288.723678, 303.466759, 318.896279, 335.102861, 352.177128, 370.462505, 389.704118, 409.916748, 431.115179, 453.637957, 477.337982, 501.981815, 527.487109, 553.771515, 580.752685, 608.348273, 636.736938, 665.495886, 694.491704, 723.590976, 752.660287, 783.134822, 812.920418, 841.491509, 868.32253, 892.887918, 914.33157, 932.862449, 957.107484, 987.753929, 1009.27886, 1013.43741, 991.984674, 928.039572, 823.956205, 691.509994, 547.472167, 359.601754, 102.699898, -239.102066, -665.863317, -1184.89985, -1786.37804, -2473.1677, -3311.02051, -4330.11861, -5569.12788, -7048.44151, -8795.30497, -10836.9637, -13200.6632, -16947.4125, -20812.2525, -24563.9878, -27971.423, -30803.3626, -31921.07, -32605.9183, -33015.6583, -33805.6105, -34936.5708, -36162.0148, -37453.1046, -38781.0024, -40116.8703, -41431.8705, -42391.9119, -43513.8023, -44680.938, -45776.7154, -46684.531, -47287.781, -47469.8618, -47203.234, -46446.9931},
1972  {-545.055603, -542.676763, -540.309464, -537.949096, -535.591049, -533.230712, -530.863474, -528.484725, -526.089855, -523.674252, -521.233306, -518.762406, -516.256943, -513.712305, -511.123882, -508.487063, -505.797237, -503.049795, -500.240125, -497.363617, -494.41566, -491.391644, -488.286959, -485.096993, -481.817136, -478.442777, -474.969307, -471.392113, -467.706587, -463.908116, -459.992091, -455.953901, -451.788936, -447.492584, -442.827564, -437.910495, -432.860792, -427.681396, -422.375247, -416.945284, -411.394448, -405.725679, -399.941917, -394.046102, -388.041174, -381.930073, -375.71574, -369.401114, -362.989135, -356.482743, -349.884879, -343.159609, -336.349589, -329.458602, -322.490431, -315.448859, -308.337668, -301.160642, -293.921562, -286.624213, -279.272376, -271.869834, -264.420371, -256.927768, -249.39581, -241.828278, -234.228955, -226.548131, -218.73738, -210.91081, -203.075672, -195.239216, -187.408694, -179.591354, -171.794449, -164.025228, -156.290943, -148.598843, -140.956179, -133.370202, -125.848162, -118.39731, -111.024896, -103.738171, -97.4453751, -91.6843133, -85.9819606, -80.3163285, -74.6654287, -69.0072729, -63.3198728, -57.5812399, -51.7693861, -45.862323, -39.8380622, -33.6746154, -27.3499943, -20.8422105, -14.1292758, -7.1892017, 0, 11.6890108, 23.0547206, 34.1347803, 44.9668406, 55.5885524, 66.0375664, 76.3515335, 86.5681044, 96.72493, 106.859661, 117.009948, 127.213443, 137.507795, 147.930656, 158.519677, 169.312507, 180.31678, 191.565856, 203.165288, 215.146294, 227.540092, 240.377901, 253.690938, 267.510421, 281.867568, 296.793598, 312.319728, 328.477176, 345.297161, 362.722745, 380.905625, 399.903466, 419.77393, 441.178331, 463.872509, 487.451331, 511.791367, 536.769188, 562.261362, 588.144461, 614.132587, 640.314223, 666.597725, 692.891452, 719.103759, 746.720765, 773.678625, 799.491255, 823.672572, 845.736492, 865.835757, 882.064672, 899.483155, 917.842781, 926.057257, 917.906269, 887.169507, 827.588747, 732.990204, 597.24145, 413.454628, 176.96986, -109.197671, -451.178923, -870.602484, -1381.98327, -1993.23825, -2717.17176, -3590.78066, -4637.37715, -5875.96434, -7334.82647, -9038.76736, -11012.5909, -13281.1008, -16806.3395, -20441.5627, -23977.2644, -27203.9389, -29912.0802, -31066.2828, -31833.5404, -32358.3043, -33247.054, -34461.3545, -35770.2591, -37144.9585, -38556.6435, -39976.5047, -41375.7327, -41307.3732, -42234.2688, -43763.176, -45500.8507, -47054.0494, -48029.5281, -48034.0432, -48293.7834, -47490.6433},
1973  {-516.455553, -514.250244, -512.057642, -509.873314, -507.692826, -505.511744, -503.325634, -501.130061, -498.920592, -496.692792, -494.442227, -492.164464, -489.855069, -487.509607, -485.123644, -482.692746, -480.212479, -477.67841, -475.086103, -472.431125, -469.709043, -466.915421, -464.045826, -461.095824, -458.06098, -454.936861, -451.719033, -448.403061, -444.984512, -441.458951, -437.821944, -434.069058, -430.195858, -426.19791, -421.861724, -417.291792, -412.595116, -407.774048, -402.830938, -397.768135, -392.587991, -387.292854, -381.885076, -376.367007, -370.740996, -365.009395, -359.174553, -353.23882, -347.204547, -341.074085, -334.849782, -328.467863, -321.998239, -315.444692, -308.811007, -302.100967, -295.318356, -288.466957, -281.550555, -274.572933, -267.537874, -260.449163, -253.310583, -246.125917, -238.89895, -231.633465, -224.333246, -216.943682, -209.411564, -201.86111, -194.29989, -186.735472, -179.175426, -171.627321, -164.098726, -156.597211, -149.130344, -141.705695, -134.330833, -127.013327, -119.760747, -112.580661, -105.480638, -98.4682489, -92.4756217, -87.0285989, -81.6419103, -76.2931213, -70.9597974, -65.6195039, -60.2498064, -54.8282701, -49.3324607, -43.7399434, -38.0282837, -32.1750471, -26.157799, -19.9541048, -13.54153, -6.89763988, 0, 12.2993335, 24.1106363, 35.4834103, 46.4671574, 57.1113796, 67.4655788, 77.5792569, 87.5019159, 97.2830577, 106.972184, 116.618797, 126.272399, 135.982492, 145.798576, 155.770156, 165.946731, 175.894917, 185.595232, 196.189423, 207.623516, 219.843538, 232.795515, 246.425471, 260.679435, 275.50343, 290.843484, 306.645623, 322.855872, 339.420257, 355.652118, 372.362153, 389.686193, 407.760072, 427.595522, 448.890426, 471.10909, 494.124575, 517.809944, 542.038257, 566.682577, 591.960509, 617.295709, 642.493826, 667.360512, 691.701417, 714.451423, 736.504641, 757.884412, 778.614079, 798.716984, 821.950352, 840.040008, 850.312388, 850.278506, 837.826224, 810.674209, 766.541125, 714.61582, 638.539917, 509.442115, 294.616512, 17.6509361, -290.893771, -627.603664, -1035.06371, -1534.7446, -2151.65897, -2908.1958, -3813.75707, -4885.09095, -6125.44617, -7567.14718, -9231.61503, -11140.2708, -13314.5355, -16607.8984, -20001.6954, -23309.3303, -26344.2071, -28919.7299, -30112.2657, -30963.6133, -31603.0497, -32574.6348, -33843.4605, -35201.7927, -36623.3648, -38081.9101, -39551.1621, -41004.854, -40081.9331, -40867.8102, -42726.7205, -45022.8989, -47120.5807, -48384.0007, -48177.3942, -48999.8973, -48248.7344},
1974  {-488.567494, -486.38975, -484.24778, -482.13632, -480.050106, -477.983874, -475.932359, -473.890296, -471.852423, -469.813473, -467.768184, -465.71129, -463.637527, -461.541632, -459.418338, -457.262384, -455.068503, -452.831431, -450.545905, -448.20666, -445.808431, -443.345955, -440.813967, -438.207202, -435.520396, -432.748286, -429.885606, -426.927092, -423.86748, -420.701506, -417.423906, -414.029414, -410.512767, -406.8687, -402.84477, -398.564502, -394.15439, -389.617192, -384.955664, -380.172564, -375.270649, -370.252675, -365.1214, -359.879581, -354.529976, -349.07534, -343.518431, -337.862007, -332.108825, -326.26164, -320.323212, -314.270419, -308.132457, -301.912643, -295.614297, -289.240735, -282.795276, -276.281238, -269.70194, -263.060698, -256.360831, -249.605658, -242.798496, -235.942663, -229.041477, -222.098257, -215.11632, -208.026964, -200.763214, -193.476927, -186.176089, -178.868688, -171.56271, -164.266142, -156.986972, -149.733186, -142.51277, -135.333713, -128.204, -121.131619, -114.124556, -107.190799, -100.338334, -93.5751478, -87.8600295, -82.705566, -77.6129169, -72.5592136, -67.5215876, -62.4771707, -57.4030942, -52.2764899, -47.0744891, -41.7742235, -36.3528247, -30.7874241, -25.0551534, -19.1331441, -12.9985277, -6.62843581, 0, 12.4309143, 24.3135483, 35.7009447, 46.6461462, 57.2021955, 67.4221354, 77.3590085, 87.0658576, 96.5957254, 106.001655, 115.336688, 124.653868, 134.006238, 143.44684, 153.028717, 162.804912, 172.170908, 181.085811, 191.09, 202.095612, 214.014785, 226.759655, 240.24236, 254.375037, 269.069823, 284.238855, 299.794271, 315.648206, 331.712799, 347.074727, 362.774254, 378.971158, 395.825213, 414.298451, 434.149519, 454.92313, 476.538381, 498.914371, 521.970197, 545.62496, 571.522115, 597.331598, 622.635131, 647.014438, 670.051244, 687.105598, 703.036316, 718.480539, 734.075408, 750.458065, 774.699485, 793.139402, 798.18881, 785.758192, 758.902825, 717.470121, 661.30749, 606.416351, 532.818743, 402.914153, 175.263342, -117.200052, -434.541936, -770.280458, -1174.61672, -1671.73343, -2294.80533, -3070.34639, -3991.89974, -5071.6587, -6308.1264, -7729.2925, -9352.08918, -11193.4487, -13270.3031, -16314.197, -19448.7972, -22512.3829, -25343.2334, -27779.6277, -29022.216, -29971.9926, -30740.5063, -31795.2193, -33106.7981, -34497.6119, -35945.7418, -37429.2691, -38926.2752, -40414.8414, -39283.8817, -40084.2922, -42105.0901, -44635.2925, -46963.9168, -48379.9801, -48172.4996, -49213.5653, -48665.6033},
1975  {-461.473317, -459.138735, -456.894623, -454.73338, -452.647403, -450.629092, -448.670844, -446.765059, -444.904134, -443.080469, -441.286461, -439.51451, -437.757014, -436.006371, -434.25498, -432.495239, -430.719548, -428.920303, -427.089905, -425.22075, -423.305239, -421.335769, -419.304739, -417.204548, -415.027593, -412.766274, -410.412989, -407.960137, -405.400115, -402.725323, -399.928159, -397.001021, -393.936308, -390.726419, -386.982894, -382.896571, -378.662867, -374.286539, -369.772346, -365.125045, -360.349394, -355.450153, -350.432078, -345.299929, -340.058462, -334.712437, -329.26661, -323.725741, -318.094588, -312.377907, -306.580459, -300.827456, -295.000589, -289.102006, -283.133853, -277.098276, -270.997424, -264.833442, -258.608478, -252.324677, -245.984188, -239.589157, -233.141731, -226.644056, -220.09828, -213.506548, -206.871009, -200.0956, -193.086614, -186.04875, -178.990521, -171.92044, -164.84702, -157.778775, -150.724218, -143.691862, -136.690221, -129.727808, -122.813137, -115.95472, -109.161072, -102.440705, -95.8021334, -89.2538699, -83.7844925, -78.8918681, -74.0620837, -69.2718478, -64.4978687, -59.7168547, -54.9055143, -50.0405559, -45.0986878, -40.0566184, -34.8910561, -29.5787092, -24.0962862, -18.4204954, -12.5280451, -6.39564389, 0, 11.5333141, 22.6822278, 33.4853598, 43.9813288, 54.2087535, 64.2062526, 74.0124447, 83.6659486, 93.2053829, 102.669366, 112.096518, 121.525455, 130.994798, 140.543165, 150.209174, 160.031445, 169.868954, 179.734656, 190.073503, 200.88562, 212.171129, 223.930156, 236.162824, 248.869257, 262.049579, 275.703914, 289.832387, 304.43512, 319.512239, 334.900371, 350.823085, 367.329553, 384.468947, 402.33036, 420.943003, 440.325446, 460.514884, 481.548516, 503.463536, 526.297144, 554.283286, 581.985135, 608.618786, 633.400331, 655.545864, 666.624848, 675.411664, 683.034062, 690.619793, 699.296607, 716.986666, 729.719031, 733.758151, 725.665093, 702.606519, 661.477191, 599.171872, 517.591117, 407.486216, 254.147591, 43.1598896, -221.508882, -526.584512, -875.326013, -1299.00703, -1816.04202, -2449.90632, -3220.32646, -4128.47251, -5186.01114, -6407.44219, -7801.16326, -9377.86027, -11148.2192, -13122.9259, -15889.3237, -18737.277, -21533.3071, -24143.9359, -26435.6849, -27753.7902, -28833.5826, -29764.9918, -30920.0814, -32277.1031, -33696.7527, -35163.1596, -36660.4532, -38172.763, -39684.2185, -39516.9306, -40609.3208, -42484.254, -44664.5952, -46673.2094, -48032.9616, -48266.7168, -48815.9955, -48711.8645},
1976  {-437.574084, -435.272926, -433.082772, -430.995238, -429.001936, -427.094482, -425.26449, -423.503575, -421.80335, -420.15543, -418.55143, -416.982964, -415.441646, -413.91909, -412.406911, -410.896724, -409.380142, -407.848781, -406.294254, -404.708176, -403.082161, -401.407823, -399.676778, -397.880639, -396.01102, -394.059537, -392.017803, -389.877433, -387.630041, -385.267242, -382.78065, -380.161879, -377.402544, -374.494259, -371.011308, -367.162748, -363.162653, -359.016181, -354.728489, -350.304735, -345.750076, -341.069671, -336.268676, -331.35225, -326.325549, -321.193731, -315.961955, -310.635377, -305.219154, -299.718446, -294.138408, -288.631012, -283.051419, -277.401605, -271.683544, -265.899212, -260.050583, -254.139633, -248.168337, -242.138668, -236.052604, -229.912117, -223.719184, -217.475779, -211.183877, -204.845454, -198.462483, -191.933773, -185.160609, -178.357739, -171.533828, -164.697538, -157.857531, -151.022472, -144.201022, -137.401845, -130.633604, -123.904961, -117.224579, -110.601121, -104.043251, -97.5596307, -91.1589233, -84.8497918, -79.6405675, -75.0190523, -70.4610331, -65.9427315, -61.4403693, -56.9301681, -52.3883497, -47.7911358, -43.1147482, -38.3354086, -33.4293387, -28.3727602, -23.1418949, -17.7129645, -12.0621908, -6.16579535, 0, 10.8735779, 21.4764586, 31.8373473, 41.9849491, 51.9479694, 61.7551132, 71.4350857, 81.0165921, 90.5283377, 99.9990276, 109.457367, 118.932061, 128.451815, 138.045334, 147.741323, 157.568488, 167.634686, 177.979929, 188.453888, 199.102229, 209.970619, 221.104725, 232.550211, 244.352745, 256.557994, 269.211623, 282.359299, 296.046689, 310.319458, 325.408338, 341.106073, 357.402811, 374.288698, 391.707901, 409.673557, 428.211065, 447.324367, 467.017404, 487.294116, 508.158446, 533.130532, 557.62797, 580.966752, 602.462866, 621.432303, 632.21862, 640.353347, 646.395582, 650.904423, 654.438968, 662.311822, 664.518733, 660.925537, 649.19741, 622.506509, 576.042264, 504.994105, 401.719709, 264.883839, 96.2404472, -97.4057206, -336.046326, -629.006938, -987.947631, -1428.48416, -1964.41657, -2612.84711, -3388.43194, -4293.71909, -5338.10562, -6538.1637, -7895.01146, -9415.56226, -11106.7295, -12975.4266, -15500.6169, -18099.1514, -20659.9307, -23071.8559, -25223.8277, -26570.737, -27724.8347, -28761.0259, -29991.8429, -31398.1302, -32861.7205, -34368.4089, -35903.99, -37454.2589, -39005.0104, -39880.3102, -41268.4061, -42945.2337, -44686.7287, -46268.8268, -47467.4635, -48058.5747, -48417.2429, -48053.1288},
1977  {-417.028928, -415.008631, -413.076575, -411.225555, -409.448366, -407.737805, -406.086668, -404.48775, -402.933847, -401.417755, -399.93227, -398.470187, -397.024303, -395.587413, -394.152313, -392.711799, -391.258667, -389.785712, -388.285731, -386.751518, -385.175871, -383.551585, -381.871455, -380.128277, -378.314848, -376.423963, -374.448418, -372.381009, -370.214531, -367.941781, -365.555554, -363.048646, -360.413853, -357.64397, -354.398421, -350.843699, -347.150306, -343.321857, -339.361966, -335.274247, -331.062315, -326.729785, -322.280271, -317.717387, -313.044747, -308.265967, -303.38466, -298.404441, -293.328925, -288.161725, -282.906457, -277.600241, -272.21246, -266.746, -261.20375, -255.588598, -249.903433, -244.151141, -238.334612, -232.456733, -226.520393, -220.52848, -214.483881, -208.389484, -202.248179, -196.062852, -189.836393, -183.486, -176.930934, -170.350805, -163.754056, -157.149131, -150.544472, -143.948521, -137.369723, -130.816519, -124.297352, -117.820666, -111.394903, -105.028506, -98.7299178, -92.5075814, -86.3699395, -80.325435, -75.3918888, -71.0518238, -66.775631, -62.5389969, -58.3176082, -54.0871514, -49.8233132, -45.5017801, -41.0982387, -36.5883756, -31.9478774, -27.1524307, -22.1777221, -16.9994381, -11.5932654, -5.93489047, 0, 10.705791, 21.1500442, 31.3603525, 41.3643087, 51.1895056, 60.863536, 70.4139928, 79.8684689, 89.2545571, 98.5998501, 107.931941, 117.278422, 126.666887, 136.124928, 145.680138, 155.36011, 165.172138, 175.140914, 185.339947, 195.792478, 206.521752, 217.55101, 228.903497, 240.602455, 252.671128, 265.132757, 278.010587, 291.327861, 305.10782, 319.422831, 334.229003, 349.534843, 365.348857, 382.309775, 400.110991, 418.277843, 436.62977, 454.986213, 473.166612, 490.990407, 508.010264, 524.39359, 540.01202, 554.737187, 568.440728, 584.314478, 598.079821, 608.778341, 615.451622, 617.141249, 613.922313, 602.539717, 584.177502, 557.502855, 516.044389, 455.637832, 372.118914, 257.69243, 112.650253, -58.7547267, -243.270766, -469.933256, -757.388589, -1120.93843, -1570.217, -2117.45997, -2780.31942, -3572.43529, -4487.58728, -5530.78917, -6704.42647, -8016.54556, -9473.07, -11079.9233, -12843.0291, -15176.999, -17576.8965, -19946.473, -22189.4801, -24209.6694, -25527.0836, -26684.9889, -27751.5835, -29023.7377, -30479.1335, -32000.1733, -33569.3035, -35168.9702, -36781.6199, -38389.6986, -39977.5224, -41561.6847, -43087.6802, -44501.0034, -45747.149, -46771.6115, -47519.8856, -48121.3157, -46871.7893},
1978  {-396.733209, -395.049481, -393.428185, -391.863328, -390.348918, -388.878961, -387.447465, -386.048438, -384.675885, -383.323815, -381.986235, -380.657151, -379.330572, -378.000503, -376.660954, -375.30593, -373.929438, -372.525487, -371.088083, -369.611234, -368.088946, -366.515227, -364.884084, -363.189524, -361.425555, -359.586183, -357.665417, -355.657262, -353.555727, -351.354818, -349.048542, -346.630908, -344.095921, -341.43759, -338.385487, -335.0714, -331.630291, -328.06475, -324.377365, -320.570725, -316.647419, -312.610035, -308.461161, -304.203387, -299.839301, -295.371491, -290.802546, -286.135055, -281.371606, -276.514788, -271.567189, -266.509186, -261.366061, -256.140884, -250.836725, -245.456655, -240.003743, -234.48106, -228.891676, -223.238661, -217.525084, -211.754016, -205.928528, -200.051688, -194.126568, -188.156238, -182.143767, -176.007481, -169.667743, -163.302399, -156.920014, -150.529151, -144.138373, -137.756245, -131.39133, -125.052191, -118.747393, -112.4855, -106.275074, -100.12468, -94.0428807, -88.0382407, -82.1193234, -76.2946924, -71.5987095, -67.505463, -63.4767121, -59.4877314, -55.5137954, -51.5301787, -47.5121559, -43.4350016, -39.2739904, -35.0043968, -30.6014954, -26.0405608, -21.2968676, -16.3456903, -11.1623036, -5.72198194, 0, 10.8216009, 21.3338573, 31.5673352, 41.5526003, 51.3202188, 60.9007564, 70.324779, 79.6228527, 88.8255434, 97.9634168, 107.067039, 116.166976, 125.293793, 134.478057, 143.750334, 153.141189, 162.503278, 171.841753, 181.589594, 191.739241, 202.283139, 213.213729, 224.523455, 236.204758, 248.250081, 260.651866, 273.402557, 286.494595, 299.920423, 313.563247, 327.5648, 341.950295, 356.744945, 372.807845, 389.747267, 406.949117, 424.188443, 441.240294, 457.879719, 473.881768, 487.836026, 501.063798, 513.572071, 525.367833, 536.45807, 552.664191, 566.725157, 577.194349, 582.625149, 581.570939, 573.113168, 554.631735, 525.125423, 482.884173, 424.750711, 348.217534, 250.777137, 128.904781, -18.6586129, -192.062411, -380.859544, -611.829652, -903.103428, -1269.32511, -1719.23134, -2264.27043, -2921.74372, -3704.61697, -4604.39493, -5624.7219, -6769.88913, -8042.79446, -9446.85826, -10985.5009, -12662.1427, -14831.1299, -17057.2255, -19256.1186, -21343.4981, -23235.053, -24500.5668, -25632.2375, -26693.9993, -27974.7729, -29449.4352, -30999.119, -32603.3881, -34241.807, -35893.9396, -37539.3503, -38806.8596, -40310.4902, -41921.4629, -43510.9989, -44950.3192, -46110.6447, -46863.1966, -47554.8335, -46391.7571},
1979  {-377.094882, -375.664048, -374.281869, -372.942983, -371.642033, -370.373659, -369.132501, -367.913199, -366.710394, -365.518727, -364.332838, -363.147367, -361.956956, -360.756244, -359.539872, -358.302481, -357.038711, -355.743202, -354.410596, -353.035532, -351.612651, -350.136594, -348.602, -347.003512, -345.335768, -343.59341, -341.771079, -339.863413, -337.865055, -335.770644, -333.574822, -331.272228, -328.857503, -326.325288, -323.429303, -320.289716, -317.02959, -313.651386, -310.15756, -306.550572, -302.832882, -299.006946, -295.075226, -291.040178, -286.904263, -282.669939, -278.339664, -273.915898, -269.401099, -264.797726, -260.108238, -255.336981, -250.484486, -245.553171, -240.545453, -235.46375, -230.310481, -225.088062, -219.798913, -214.445451, -209.030093, -203.555258, -198.023363, -192.436827, -186.798068, -181.109502, -175.373549, -169.49073, -163.364015, -157.205973, -151.025627, -144.832001, -138.634119, -132.441003, -126.261676, -120.105163, -113.980487, -107.896671, -101.862738, -95.8877122, -89.9806162, -84.1504737, -78.4063081, -72.7571426, -68.2612044, -64.3808464, -60.5658109, -56.7910725, -53.0316061, -49.2623862, -45.4583875, -41.5945847, -37.6459526, -33.5874658, -29.3940989, -25.0408268, -20.5026239, -15.7544652, -10.7713251, -5.52817852, 0, 11.0171597, 21.6636735, 31.9736873, 41.9813469, 51.7207981, 61.2261868, 70.5316588, 79.6713598, 88.6794357, 97.5900323, 106.437295, 115.255371, 124.078405, 132.940542, 141.87593, 150.918713, 159.826078, 168.592606, 177.878897, 187.659749, 197.90996, 208.604327, 219.717647, 231.224717, 243.100336, 255.3193, 267.856408, 280.686455, 293.784241, 306.988626, 320.460186, 334.214501, 348.267147, 363.080506, 378.446753, 394.038919, 409.738542, 425.427158, 440.986307, 456.297524, 472.106208, 487.167122, 501.192788, 513.895728, 524.988463, 536.808179, 545.786567, 550.979983, 551.444785, 546.237326, 537.141925, 517.1528, 481.155963, 426.127827, 353.312711, 262.038733, 151.634009, 24.4281912, -123.934306, -301.083471, -504.750409, -752.199652, -1054.64127, -1423.11001, -1868.34351, -2401.21581, -3036.95805, -3787.57388, -4649.09083, -5626.57341, -6741.14841, -7979.34698, -9340.67365, -10824.6329, -12430.7293, -14452.4262, -16521.7795, -18564.8041, -20507.5148, -22275.9265, -23482.8953, -24576.3671, -25616.5677, -26881.7888, -28345.9382, -29892.0629, -31498.6138, -33144.0416, -34806.7974, -36465.3319, -36721.6607, -37963.2945, -39824.2773, -41938.653, -43940.4656, -45463.759, -46142.5771, -46743.6725, -46589.0881},
1980  {-361.453756, -359.913943, -358.438598, -357.021901, -355.65803, -354.341167, -353.06549, -351.825179, -350.614415, -349.427377, -348.258245, -347.101199, -345.950417, -344.800081, -343.644371, -342.477464, -341.293543, -340.086786, -338.851373, -337.581483, -336.271298, -334.914996, -333.506758, -332.040762, -330.511189, -328.912219, -327.238032, -325.482807, -323.640724, -321.705962, -319.672702, -317.535124, -315.287407, -312.923731, -310.17307, -307.167786, -304.043427, -300.802778, -297.448626, -293.983756, -290.410956, -286.733011, -282.952708, -279.072832, -275.096171, -271.025509, -266.863633, -262.613331, -258.277386, -253.858587, -249.359719, -244.831531, -240.227807, -235.550293, -230.800736, -225.980882, -221.092477, -216.137268, -211.117001, -206.033423, -200.888281, -195.68332, -190.420287, -185.100929, -179.726992, -174.300222, -168.822366, -163.177379, -157.252046, -151.291047, -145.303764, -139.299581, -133.287879, -127.278041, -121.279449, -115.301486, -109.353533, -103.444973, -97.5851893, -91.783563, -86.0494769, -80.3923133, -74.8214546, -69.3462831, -65.0467626, -61.3744665, -57.7681006, -54.2023048, -50.651719, -47.0909832, -43.4947372, -39.8376209, -36.0942743, -32.2393374, -28.2474499, -24.0932518, -19.7513831, -15.1964837, -10.4031934, -5.3461522, 0, 10.7815877, 21.2246582, 31.3596049, 41.2168216, 50.8267017, 60.219639, 69.426027, 78.4762594, 87.4007296, 96.2298315, 104.993958, 113.723504, 122.448862, 131.200426, 140.00859, 148.903747, 157.781428, 166.65276, 175.853185, 185.384195, 195.247287, 205.443953, 215.97569, 226.84399, 238.050349, 249.596261, 261.48322, 273.712721, 286.286259, 299.394423, 312.780277, 326.388587, 340.164117, 353.8823, 367.572569, 381.30951, 395.088689, 408.905672, 422.756023, 436.63531, 452.900298, 468.466725, 482.868181, 495.638258, 506.310547, 516.259337, 522.717347, 524.757992, 521.454689, 511.880855, 497.803918, 472.310601, 429.876002, 367.46616, 287.132795, 188.644259, 71.7689045, -58.8282221, -209.388346, -391.494539, -608.611644, -870.831695, -1184.14101, -1556.70452, -2000.37871, -2525.32558, -3145.22422, -3871.14848, -4701.27615, -5641.07973, -6719.86786, -7915.60985, -9225.52729, -10646.8417, -12176.7747, -14060.4663, -15985.24, -17886.3377, -19699.0014, -21358.4732, -22518.8268, -23583.9177, -24609.4883, -25855.1313, -27295.8984, -28821.9041, -30412.447, -32046.8259, -33704.3394, -35364.2865, -35386.4649, -36581.0446, -38525.7043, -40798.1228, -42975.979, -44636.9516, -45358.7194, -45970.3541, -46623.0292},
1981  {-350.461653, -348.392172, -346.436031, -344.585767, -342.833919, -341.173024, -339.595618, -338.094241, -336.661429, -335.289721, -333.971653, -332.699763, -331.46659, -330.264669, -329.08654, -327.92474, -326.771805, -325.620275, -324.462685, -323.291575, -322.099482, -320.878942, -319.622494, -318.322676, -316.972024, -315.563077, -314.088372, -312.540447, -310.911839, -309.195085, -307.382725, -305.467294, -303.44133, -301.297372, -298.693744, -295.797119, -292.778188, -289.640335, -286.386943, -283.021396, -279.547077, -275.96737, -272.285658, -268.505324, -264.629752, -260.662326, -256.606428, -252.465443, -248.242754, -243.941744, -239.565796, -235.2122, -230.788398, -226.295738, -221.735567, -217.109233, -212.418084, -207.663467, -202.846731, -197.969224, -193.032292, -188.037284, -182.985548, -177.87843, -172.71728, -167.503445, -162.238272, -156.797492, -151.05985, -145.285773, -139.48475, -133.666272, -127.839831, -122.014918, -116.201023, -110.407639, -104.644255, -98.920363, -93.245454, -87.6290189, -82.0805488, -76.6095348, -71.2254678, -65.9378389, -61.8426357, -58.383248, -54.9900067, -51.6371439, -48.2988918, -44.9494826, -41.5631483, -38.1141211, -34.5766332, -30.9249167, -27.1332037, -23.1757264, -19.0267169, -14.6604074, -10.05103, -5.1728168, 0, 10.0140728, 19.8361513, 29.4840259, 38.9754871, 48.3283254, 57.5603313, 66.6892953, 75.7330078, 84.7092593, 93.6358404, 102.530541, 111.411153, 120.295465, 129.201269, 138.146355, 147.148513, 156.492532, 166.234343, 175.787816, 185.227954, 194.629762, 204.068243, 213.618402, 223.355243, 233.353771, 243.688988, 254.435901, 265.669513, 277.464827, 290.757399, 304.446147, 318.347912, 332.279532, 345.244526, 357.466395, 369.385522, 381.062744, 392.558896, 403.934813, 415.251331, 428.814163, 441.756043, 453.698591, 464.263428, 473.072173, 485.202333, 493.45567, 496.089833, 491.362472, 477.531234, 452.13622, 415.029631, 365.389963, 302.002395, 222.84908, 126.272715, 10.6159958, -122.446619, -278.661416, -467.409329, -692.197972, -962.142887, -1282.97509, -1662.17126, -2110.16598, -2636.0361, -3252.82415, -3970.63514, -4785.03321, -5699.80766, -6737.35145, -7879.98807, -9125.06706, -10469.938, -11911.9503, -13662.4202, -15451.239, -17222.2646, -18919.355, -20486.368, -21619.8774, -22675.8813, -23704.2167, -24935.548, -26348.1345, -27844.8904, -29407.8422, -31019.0164, -32660.4393, -34314.1375, -35282.76, -36751.5902, -38518.4636, -40381.2157, -42137.6822, -43585.6984, -44523.1, -45315.3681, -46200.3479},
1982  {-341.290358, -338.59135, -336.060571, -333.688735, -331.466554, -329.384742, -327.434013, -325.60508, -323.888657, -322.275458, -320.756195, -319.321583, -317.962336, -316.669165, -315.432786, -314.243912, -313.093256, -311.971532, -310.869453, -309.777733, -308.687086, -307.588224, -306.471863, -305.328714, -304.149492, -302.924911, -301.645683, -300.302523, -298.886143, -297.387258, -295.796581, -294.104826, -292.302705, -290.380934, -287.924749, -285.136132, -282.221935, -279.186029, -276.032288, -272.764583, -269.386786, -265.902769, -262.316404, -258.631563, -254.852118, -250.981941, -247.024904, -242.984879, -238.865738, -234.671353, -230.405596, -226.197085, -221.922242, -217.582235, -213.17823, -208.711397, -204.182902, -199.593914, -194.945599, -190.239127, -185.475664, -180.656379, -175.782439, -170.855011, -165.875265, -160.844366, -155.763484, -150.505872, -144.947856, -139.354416, -133.735011, -128.099101, -122.456146, -116.815605, -111.18694, -105.579608, -100.003071, -94.4667878, -88.9802184, -83.5528228, -78.1940607, -72.9133919, -67.7202764, -62.6241739, -58.7322311, -55.481976, -52.2977434, -49.153371, -46.0226966, -42.8795579, -39.6977929, -36.4512391, -33.1137345, -29.6591169, -26.0612238, -22.2938933, -18.330963, -14.1462708, -9.71365432, -5.00695147, 0, 9.27817866, 18.5061114, 27.6893474, 36.8334359, 45.9439262, 55.0263675, 64.0863091, 73.1293001, 82.1608899, 91.1866277, 100.212063, 109.242744, 118.284221, 127.342043, 136.421759, 145.528919, 155.296496, 165.819672, 175.684821, 185.03194, 194.001027, 202.732078, 211.365092, 220.040066, 228.896997, 238.075883, 247.716721, 257.95951, 268.944245, 282.221083, 296.002806, 310.006363, 323.948704, 336.345196, 347.513579, 358.09202, 368.157942, 377.788772, 387.061935, 396.054855, 406.583882, 416.458279, 425.415249, 433.191991, 439.525707, 452.986263, 462.270029, 464.90604, 458.423329, 440.350934, 404.204997, 356.432087, 301.461655, 239.967457, 164.955373, 72.8740056, -39.8280462, -176.065474, -340.17109, -537.1723, -768.596343, -1044.5151, -1371.82143, -1757.9103, -2211.02752, -2739.02834, -3354.2476, -4065.70195, -4865.98286, -5756.97283, -6751.2514, -7838.35828, -9016.47312, -10283.7756, -11638.4453, -13265.2186, -14929.0793, -16581.5679, -18174.2249, -19658.5908, -20770.5072, -21821.0127, -22854.0901, -24071.3891, -25454.4827, -26919.2494, -28450.547, -30033.2331, -31652.1655, -33292.2021, -35380.191, -37161.0688, -38696.6286, -40048.6634, -41278.9665, -42449.3309, -43621.5498, -44632.1762, -45527.6433},
1983  {-330.401283, -327.37474, -324.541316, -321.891116, -319.414244, -317.100807, -314.940909, -312.924655, -311.04215, -309.283499, -307.638807, -306.09818, -304.651721, -303.289537, -302.001733, -300.778413, -299.609682, -298.485646, -297.396409, -296.332077, -295.282754, -294.238546, -293.189558, -292.125895, -291.037661, -289.914962, -288.747903, -287.526588, -286.241124, -284.881614, -283.438165, -281.900881, -280.259866, -278.505227, -276.218092, -273.601656, -270.864031, -268.008593, -265.03872, -261.957788, -258.769175, -255.476257, -252.082413, -248.591019, -245.005451, -241.329088, -237.565307, -233.717483, -229.788995, -225.78322, -221.703534, -217.63692, -213.501336, -209.298349, -205.029523, -200.696423, -196.300613, -191.843658, -187.327123, -182.752573, -178.121572, -173.435684, -168.696476, -163.905511, -159.064355, -154.174571, -149.237725, -144.137279, -138.75953, -133.349621, -127.916773, -122.470207, -117.019143, -111.572803, -106.140406, -100.731175, -95.3543298, -90.0190913, -84.7346803, -79.5103177, -74.3552244, -69.2786212, -64.289729, -59.3977685, -55.7107286, -52.6653349, -49.6851071, -46.7436087, -43.8144035, -40.8710552, -37.8871274, -34.8361841, -31.6917887, -28.4275051, -25.0168969, -21.4335279, -17.6509617, -13.6427621, -9.38249285, -4.84371757, 0, 9.45717392, 18.8158351, 28.0839451, 37.2694656, 46.3803582, 55.4245846, 64.4101063, 73.3448849, 82.2368821, 91.0940596, 99.9243788, 108.735802, 117.536289, 126.333804, 135.136307, 143.951759, 153.219103, 163.007869, 172.351183, 181.349359, 190.102711, 198.711554, 207.276204, 215.896973, 224.674176, 233.708129, 243.099145, 252.947539, 263.353625, 275.374988, 287.803673, 300.452814, 313.135545, 325.190582, 336.668269, 347.745456, 358.377602, 368.520166, 378.128605, 387.158377, 397.155006, 405.999953, 413.337575, 418.812232, 422.068282, 428.947975, 431.348305, 427.364158, 415.09042, 392.621975, 355.353013, 307.379969, 253.730143, 194.869102, 121.948875, 30.3030811, -84.7346626, -229.727342, -407.013689, -616.863412, -857.858614, -1141.20077, -1474.58325, -1865.14616, -2319.09219, -2843.0543, -3447.48347, -4140.00251, -4914.23497, -5771.72319, -6724.05677, -7761.18503, -8881.17236, -10082.0832, -11361.9819, -12878.6765, -14430.5519, -15975.7367, -17472.3595, -18878.5489, -19962.1642, -20998.4493, -22027.0768, -23233.8022, -24600.4736, -26048.0709, -27561.4855, -29125.6088, -30725.3321, -32345.5468, -34654.7719, -36468.5316, -37915.643, -39124.9231, -40225.1888, -41345.2571, -42613.9452, -43769.966, -44537.2317},
1984  {-319.712611, -316.457678, -313.409907, -310.559234, -307.895594, -305.408923, -303.089157, -300.92623, -298.910078, -297.030637, -295.277841, -293.641627, -292.111929, -290.678683, -289.331825, -288.06129, -286.857013, -285.70893, -284.606976, -283.541086, -282.501197, -281.477243, -280.459159, -279.436882, -278.400347, -277.339488, -276.244242, -275.104543, -273.910328, -272.651532, -271.318089, -269.899936, -268.387008, -266.76924, -264.648022, -262.215735, -259.669429, -257.01165, -254.244941, -251.371847, -248.394913, -245.316682, -242.1397, -238.86651, -235.499658, -232.041688, -228.495144, -224.862571, -221.146513, -217.349514, -213.47412, -209.541079, -205.534336, -201.456041, -197.308344, -193.093395, -188.813344, -184.47034, -180.066534, -175.604075, -171.085113, -166.511798, -161.88628, -157.210708, -152.487233, -147.718004, -142.905171, -137.946507, -132.74229, -127.50994, -122.258374, -116.996507, -111.733257, -106.477538, -101.238268, -96.0243624, -90.8447373, -85.708309, -80.6239938, -75.6007077, -70.6473669, -65.7728878, -60.9861863, -56.2961788, -52.8082156, -49.9599339, -47.1757924, -44.4291257, -41.6932687, -38.9415562, -36.1473229, -33.2839036, -30.3246331, -27.2428463, -24.0118778, -20.6050624, -16.9957349, -13.1572302, -9.06288294, -4.68602795, 0, 9.90104658, 19.5998281, 29.1111246, 38.449716, 47.6303822, 56.6679033, 65.5770591, 74.3726298, 83.0693952, 91.6821354, 100.22563, 108.71466, 117.164004, 125.588443, 134.002756, 142.421724, 150.921558, 159.525815, 168.110321, 176.70302, 185.331856, 194.024773, 202.809715, 211.714626, 220.76745, 229.996131, 239.428613, 249.09284, 259.016756, 269.424233, 280.075447, 290.939563, 301.985745, 313.788476, 326.014262, 338.168194, 350.037841, 361.410773, 372.074561, 381.816776, 391.906195, 400.198378, 406.191096, 409.382116, 409.269207, 406.943992, 399.911924, 387.272306, 368.124446, 341.567648, 307.004002, 262.859959, 212.716121, 155.990286, 83.6012003, -9.71648985, -129.228138, -284.154341, -474.906289, -697.580357, -947.801197, -1237.93196, -1576.57283, -1970.61898, -2424.0766, -2942.27795, -3533.24095, -4202.99414, -4947.71881, -5769.1664, -6680.68679, -7670.64864, -8736.78858, -9876.84323, -11088.5492, -12505.1523, -13955.0028, -15401.9598, -16809.8827, -18142.631, -19195.3166, -20213.0443, -21231.9935, -22427.5858, -23780.8839, -25214.9335, -26713.6982, -28261.1419, -29841.2285, -31437.9216, -33612.1079, -35350.7807, -36769.4901, -37983.7862, -39109.2194, -40261.3397, -41555.6975, -42821.5842, -43382.4601},
1985  {-309.752308, -306.319341, -303.101831, -300.089759, -297.273108, -294.641859, -292.185994, -289.895495, -287.760345, -285.770524, -283.916015, -282.1868, -280.572861, -279.064178, -277.650736, -276.322514, -275.069496, -273.881662, -272.748996, -271.661478, -270.609092, -269.581817, -268.569637, -267.562534, -266.550489, -265.523484, -264.471501, -263.384521, -262.252528, -261.065503, -259.813427, -258.486282, -257.074051, -255.566715, -253.595247, -251.336684, -248.97238, -246.503966, -243.933076, -241.261342, -238.490396, -235.621871, -232.657399, -229.598613, -226.447145, -223.204627, -219.872692, -216.452973, -212.947101, -209.35671, -205.683431, -201.87852, -197.995078, -194.03583, -190.003502, -185.900816, -181.730499, -177.495273, -173.197865, -168.840998, -164.427397, -159.959787, -155.440892, -150.873437, -146.260145, -141.603743, -136.906954, -132.081336, -127.040638, -121.975606, -116.894876, -111.807081, -106.720856, -101.644837, -96.5876558, -91.5579487, -86.5643496, -81.615493, -76.7200135, -71.8865453, -67.1237232, -62.4401813, -57.8445544, -53.3454767, -50.0458863, -47.3842487, -44.7858767, -42.2238925, -39.6714184, -37.1015766, -34.4874892, -31.8022786, -29.0190669, -26.1109763, -23.0511291, -19.8126474, -16.3686535, -12.6922696, -8.75661791, -4.53482064, 0, 10.350417, 20.3923933, 30.1479375, 39.6390581, 48.8877635, 57.9160624, 66.7459632, 75.3994744, 83.8986046, 92.2653622, 100.521756, 108.689794, 116.791485, 124.848837, 132.88386, 140.918561, 148.648409, 156.048766, 163.88024, 172.094866, 180.644681, 189.48172, 198.55802, 207.825615, 217.236543, 226.742838, 236.296537, 245.849675, 255.354288, 264.181409, 273.077112, 282.167733, 291.579609, 303.127203, 316.09279, 329.308475, 342.394159, 354.96974, 366.655118, 377.07019, 387.201143, 394.885763, 399.476634, 400.326337, 396.787456, 384.774745, 367.938071, 346.489474, 320.640993, 290.604667, 260.561066, 221.903275, 175.339662, 118.785692, 44.4546614, -52.8799768, -178.444769, -342.443146, -543.993659, -776.785535, -1034.45309, -1329.99976, -1672.93422, -2069.85444, -2522.42637, -3034.57984, -3611.53622, -4257.56017, -4972.18074, -5757.60568, -6630.15539, -7575.75385, -8591.72371, -9675.3876, -10824.0682, -12148.9045, -13504.9487, -14861.0693, -16186.1347, -17449.0136, -18468.1347, -19463.0994, -20467.2503, -21648.965, -22988.1349, -24408.3867, -25892.4248, -27422.9539, -28982.6785, -30554.303, -32368.1122, -33970.5578, -35409.2269, -36731.7066, -37985.5838, -39218.4455, -40477.8787, -41817.8007, -42160.3638},
1986  {-301.815533, -298.169012, -294.749543, -291.546948, -288.551054, -285.751685, -283.138665, -280.70182, -278.430973, -276.315949, -274.346574, -272.512672, -270.804067, -269.210584, -267.722048, -266.328283, -265.019115, -263.784367, -262.613865, -261.497432, -260.424895, -259.386077, -258.370804, -257.368899, -256.370187, -255.364494, -254.341643, -253.29146, -252.203769, -251.068395, -249.875163, -248.613896, -247.27442, -245.84656, -243.967327, -241.810374, -239.553593, -237.198258, -234.745643, -232.197022, -229.553669, -226.816859, -223.987865, -221.067962, -218.058424, -214.960524, -211.775538, -208.504738, -205.1494, -201.710797, -198.190203, -194.522447, -190.776689, -186.955644, -183.062025, -179.098549, -175.067928, -170.972878, -166.816113, -162.600349, -158.328298, -154.002676, -149.626198, -145.201577, -140.731529, -136.218768, -131.666008, -126.984184, -122.086433, -117.16476, -112.227829, -107.284305, -102.342852, -97.4121345, -92.5008163, -87.6175619, -82.7710356, -77.9699018, -73.2228246, -68.5384685, -63.9254976, -59.3925764, -54.948369, -50.6015398, -47.4644221, -44.9706315, -42.5405183, -40.1469306, -37.7627165, -35.3607242, -32.9138016, -30.394797, -27.7765584, -25.031934, -22.1337718, -19.05492, -15.7682266, -12.2465399, -8.46270776, -4.38957843, 0, 9.99839399, 19.7419315, 29.2482436, 38.5349616, 47.6197167, 56.5201401, 65.2538629, 73.8385163, 82.2917316, 90.63114, 98.8743726, 107.039061, 115.142835, 123.203328, 131.238169, 139.264991, 147.036254, 154.53171, 162.368776, 170.508263, 178.910979, 187.537734, 196.349336, 205.306595, 214.370321, 223.501321, 232.660406, 241.808384, 250.906066, 259.427741, 267.999127, 276.726989, 285.71809, 296.819863, 309.268738, 321.836969, 334.10912, 345.669755, 356.103438, 364.994734, 373.052441, 378.394732, 380.386212, 378.391486, 371.77516, 354.562831, 332.792865, 307.16462, 278.377455, 247.130728, 220.622077, 185.110235, 136.572125, 71.3315561, -13.5794365, -121.446796, -255.556467, -420.959843, -618.776179, -848.198783, -1106.41082, -1403.72264, -1749.99118, -2151.01147, -2605.6959, -3116.11612, -3684.08369, -4311.60284, -5001.63138, -5756.58775, -6594.60355, -7499.96659, -8469.65608, -9500.65126, -10589.9314, -11829.7493, -13097.9922, -14367.8208, -15612.396, -16804.8784, -17782.7737, -18745.3348, -19723.8602, -20879.6775, -22192.6157, -23588.3252, -25049.3442, -26558.2106, -28097.4625, -29649.6379, -30969.4484, -32434.4181, -33973.8384, -35517.0012, -36993.198, -38331.7206, -39461.8604, -40813.5098, -41124.6269},
1987  {-294.951689, -291.099592, -287.485268, -284.098385, -280.928612, -277.965615, -275.199063, -272.618623, -270.213964, -267.974754, -265.890659, -263.951349, -262.14649, -260.465752, -258.898801, -257.435305, -256.064933, -254.777352, -253.56223, -252.409235, -251.308034, -250.248297, -249.21969, -248.211881, -247.214539, -246.21733, -245.209924, -244.181987, -243.123188, -242.023195, -240.871675, -239.658296, -238.372726, -237.004634, -235.192162, -233.108135, -230.929601, -228.657635, -226.293314, -223.837713, -221.291907, -218.656972, -215.933982, -213.124015, -210.228145, -207.247447, -204.182997, -201.035872, -197.807145, -194.497893, -191.109191, -187.57511, -183.965182, -180.281936, -176.5279, -172.705602, -168.817569, -164.86633, -160.854412, -156.784345, -152.658655, -148.479871, -144.25052, -139.973132, -135.650233, -131.284352, -126.878017, -122.337269, -117.570467, -112.779134, -107.972053, -103.158009, -98.3457819, -93.5441563, -88.7619146, -84.0078397, -79.2907144, -74.6193216, -70.002444, -65.4488647, -60.9673663, -56.5667319, -52.2557441, -48.0431859, -45.0537893, -42.71489, -40.4404111, -38.2029205, -35.9749866, -33.7291773, -31.438061, -29.0742057, -26.6101796, -24.0185508, -21.2718876, -18.342758, -15.2037302, -11.8273723, -8.18625257, -4.25293908, 0, 9.49668366, 18.8224688, 27.9884806, 37.0058443, 45.8856852, 54.6391286, 63.2772996, 71.8113236, 80.2523258, 88.6114314, 96.8997656, 105.128454, 113.308621, 121.451393, 129.567894, 137.669251, 145.64445, 153.487168, 161.484796, 169.622284, 177.884586, 186.256656, 194.723445, 203.269908, 211.880996, 220.541664, 229.236863, 237.951546, 246.670668, 255.168177, 263.717397, 272.366582, 281.163987, 291.691439, 303.230405, 314.653399, 325.548601, 335.504195, 344.10836, 350.949278, 356.501029, 359.196276, 358.449872, 353.67667, 344.291525, 323.531223, 298.533202, 270.256831, 239.661482, 207.706524, 183.815004, 150.138123, 97.7763289, 21.5780455, -75.9561907, -195.761486, -338.772946, -503.557048, -693.955852, -916.395379, -1172.76846, -1470.07895, -1818.41292, -2222.71995, -2679.24608, -3188.23241, -3748.19776, -4358.9367, -5026.55894, -5753.602, -6559.63458, -7427.54283, -8353.96884, -9335.55472, -10368.9426, -11529.1699, -12714.8845, -13903.1297, -15070.9488, -16195.385, -17130.903, -18058.8438, -19008.7842, -20135.5266, -21419.0796, -22787.2747, -24222.7293, -25708.0611, -27225.8874, -28758.8259, -29542.071, -30865.8466, -32526.2983, -34319.5719, -36041.8129, -37489.1672, -38457.7803, -39788.5892, -40124.8977},
1988  {-289.008112, -284.955944, -281.151926, -277.585552, -274.246316, -271.123712, -268.207234, -265.486376, -262.950631, -260.589494, -258.392459, -256.349018, -254.448667, -252.680899, -251.035208, -249.501088, -248.068032, -246.725536, -245.463092, -244.270194, -243.136337, -242.051015, -241.00372, -239.983948, -238.981192, -237.984946, -236.984703, -235.969959, -234.930206, -233.854938, -232.73365, -231.555835, -230.310988, -228.988602, -227.22338, -225.189676, -223.066103, -220.85367, -218.553385, -216.166254, -213.693286, -211.135487, -208.493866, -205.769429, -202.963185, -200.076141, -197.109305, -194.063683, -190.940283, -187.740114, -184.464182, -181.057375, -177.578036, -174.028391, -170.410663, -166.727076, -162.979855, -159.171224, -155.303407, -151.378627, -147.39911, -143.367078, -139.284757, -135.154371, -130.978142, -126.758297, -122.497058, -118.092912, -113.446835, -108.775003, -104.086366, -99.3898731, -94.6944727, -90.0091141, -85.3427463, -80.7043182, -76.1027791, -71.5470779, -67.0461636, -62.6089853, -58.2444921, -53.9616328, -49.7693567, -45.6766128, -42.8219737, -40.6258165, -38.4949412, -36.4016382, -34.3181982, -32.2169118, -30.0700695, -27.8499618, -25.5288795, -23.079113, -20.472953, -17.6826899, -14.6806145, -11.4390172, -7.9301886, -4.12641935, 0, 8.97874449, 17.8751324, 26.6934949, 35.4381632, 44.1134686, 52.7237422, 61.2733153, 69.7665192, 78.2076849, 86.6011437, 94.9512269, 103.262266, 111.538591, 119.784535, 128.004427, 136.202601, 144.415101, 152.650791, 160.842263, 169.000646, 177.137066, 185.262651, 193.388529, 201.525827, 209.685671, 217.879191, 226.117513, 234.411764, 242.773073, 251.328175, 259.930199, 268.55559, 277.180792, 286.978768, 297.327704, 307.286713, 316.473284, 324.504906, 330.999067, 335.573257, 338.537581, 338.606114, 335.260835, 327.983721, 316.256747, 293.53765, 266.838708, 237.147961, 205.453444, 172.743195, 149.599564, 115.689896, 58.0441705, -29.5859884, -139.725594, -271.061168, -422.279233, -585.639589, -767.7161, -982.093604, -1235.33723, -1531.28526, -1880.2186, -2286.33635, -2743.53229, -3250.4305, -3802.75616, -4398.38176, -5045.80925, -5747.52796, -6523.83379, -7356.67003, -8242.36221, -9177.23585, -10157.6165, -11242.2693, -12349.4702, -13459.9348, -14554.3787, -15613.5175, -16507.9176, -17401.8765, -18323.3168, -19420.212, -20672.9643, -22011.9545, -23420.0859, -24880.2615, -26375.3848, -27888.3588, -28183.7617, -29382.3132, -31156.5875, -33179.1593, -35122.603, -36659.4931, -37462.4041, -38749.5705, -39154.3807},
1989  {-283.726184, -279.463698, -275.461963, -271.710178, -268.197543, -264.913259, -261.846525, -258.98654, -256.322506, -253.84362, -251.539084, -249.398097, -247.409859, -245.563569, -243.848428, -242.253635, -240.76839, -239.381893, -238.083343, -236.861941, -235.706886, -234.607378, -233.552617, -232.531803, -231.534135, -230.548813, -229.565037, -228.572007, -227.558922, -226.514983, -225.429389, -224.29134, -223.090036, -221.814676, -220.088596, -218.091623, -216.007982, -213.838747, -211.58499, -209.247783, -206.8282, -204.327313, -201.746196, -199.08592, -196.34756, -193.532187, -190.640874, -187.674695, -184.634722, -181.522028, -178.337686, -175.044612, -171.682862, -168.254337, -164.760936, -161.20456, -157.587108, -153.910481, -150.176578, -146.387299, -142.544545, -138.650214, -134.706208, -130.714427, -126.676769, -122.595135, -118.471426, -114.196904, -109.665491, -105.107265, -100.531298, -95.9466613, -91.3624276, -86.787669, -82.2314574, -77.7028649, -73.2109635, -68.7648253, -64.3735223, -60.0461266, -55.7917103, -51.6193453, -47.5381037, -43.5570577, -40.8269694, -38.762052, -36.7627962, -34.8012239, -32.8493572, -30.879218, -28.8628284, -26.7722104, -24.579386, -22.2563771, -19.7752059, -17.1078942, -14.2264642, -11.1029377, -7.70933685, -4.01768362, 0, 9.02323148, 17.9444341, 26.7691271, 35.5028297, 44.1510613, 52.7193409, 61.213188, 69.6381217, 77.9996613, 86.303326, 94.5546351, 102.759108, 110.922263, 119.049621, 127.1467, 135.21902, 143.139616, 150.89508, 158.790599, 166.803302, 174.910319, 183.088779, 191.315813, 199.568551, 207.824121, 216.059655, 224.252282, 232.379131, 240.417333, 248.282068, 256.03513, 263.672234, 271.189094, 279.811332, 288.919708, 297.56701, 305.379978, 311.985356, 317.009885, 320.080309, 321.319223, 319.706604, 314.77218, 306.04568, 293.056832, 271.349692, 245.436077, 215.842132, 183.094002, 147.717833, 118.372606, 77.5114979, 12.9824767, -80.9164571, -196.718482, -332.86931, -487.814649, -653.362433, -836.104736, -1049.87485, -1300.9868, -1593.78371, -1939.76984, -2343.32141, -2796.73658, -3297.85753, -3841.50609, -4424.74139, -5055.69723, -5736.24293, -6485.11289, -7284.71676, -8131.08598, -9020.25198, -9948.24618, -10955.2818, -11982.163, -13013.8758, -14035.4064, -15031.7405, -15893.3297, -16762.7176, -17665.4052, -18739.5845, -19966.1495, -21279.0393, -22661.4955, -24096.7598, -25568.0738, -27058.6791, -27231.0654, -28392.489, -30183.3046, -32243.8671, -34214.5313, -35735.6521, -36447.5843, -37705.4466, -38220.5701},
1990  {-278.9773, -274.494794, -270.287924, -266.34548, -262.656247, -259.209013, -255.992566, -252.995693, -250.207182, -247.61582, -245.210393, -242.979691, -240.912499, -238.997605, -237.223798, -235.579863, -234.054589, -232.636763, -231.315172, -230.078604, -228.915845, -227.815684, -226.766908, -225.758304, -224.77866, -223.816762, -222.861399, -221.901358, -220.925425, -219.922389, -218.881037, -217.790156, -216.638533, -215.414957, -213.724638, -211.756222, -209.702959, -207.566086, -205.346837, -203.046448, -200.666154, -198.20719, -195.670791, -193.058193, -190.370629, -187.609336, -184.775549, -181.870502, -178.895431, -175.851571, -172.740157, -169.545312, -166.285755, -162.963092, -159.578927, -156.134868, -152.632521, -149.073491, -145.459385, -141.791808, -138.072367, -134.302668, -130.484317, -126.61892, -122.708083, -118.753412, -114.756513, -110.603051, -106.181474, -101.732509, -97.2652774, -92.7889018, -88.3125041, -83.8452063, -79.3961306, -74.974399, -70.5891335, -66.2494563, -61.9644894, -57.7433549, -53.5951748, -49.5290713, -45.5541664, -41.6795821, -39.0654062, -37.1210689, -35.2421668, -33.4004708, -31.567752, -29.7157814, -27.81633, -25.841169, -23.7620692, -21.5508017, -19.1791375, -16.6188477, -13.8417033, -10.8194753, -7.52393475, -3.92685263, 0, 9.66250643, 19.0890658, 28.294748, 37.2946228, 46.1037602, 54.7372298, 63.2101016, 71.5374454, 79.7343311, 87.8158284, 95.7970073, 103.692937, 111.518689, 119.289331, 127.019935, 134.725569, 141.794321, 148.151692, 155.230927, 162.912741, 171.077853, 179.606977, 188.38083, 197.280129, 206.18559, 214.97793, 223.537865, 231.746112, 239.483387, 245.853383, 251.798749, 257.433306, 262.87088, 269.904513, 277.80842, 285.409019, 292.316368, 298.140522, 302.49154, 304.979478, 305.571747, 303.41229, 298.041244, 288.998751, 275.824949, 257.710131, 234.631746, 206.217392, 172.094671, 131.891184, 89.3810411, 34.9773764, -37.5254536, -131.605178, -245.170033, -378.628843, -532.390434, -704.230899, -897.790142, -1119.58014, -1370.37967, -1658.83132, -1998.55386, -2395.0079, -2839.83055, -3331.00413, -3864.49035, -4437.7477, -5055.64345, -5718.85404, -6442.21018, -7210.05645, -8018.16975, -8862.32696, -9738.30496, -10665.3244, -11609.8575, -12561.8201, -13511.1282, -14447.6978, -15286.1411, -16141.8802, -17037.104, -18096.8552, -19302.6097, -20592.9878, -21951.6082, -23362.0896, -24808.051, -26273.1108, -26727.545, -27947.7169, -29644.5152, -31528.8285, -33311.5453, -34703.5543, -35415.744, -36662.1902, -37313.4254},
1991  {-274.797779, -270.106773, -265.705458, -261.582224, -257.725463, -254.123567, -250.764927, -247.637935, -244.730981, -242.032458, -239.530757, -237.214269, -235.071387, -233.0905, -231.260001, -229.568281, -228.003733, -226.554746, -225.209713, -223.957024, -222.785073, -221.682249, -220.636945, -219.637552, -218.672461, -217.730063, -216.798752, -215.866916, -214.922949, -213.955242, -212.952186, -211.902172, -210.793593, -209.614839, -207.953172, -206.005986, -203.975495, -201.863109, -199.670236, -197.398286, -195.048667, -192.622788, -190.122057, -187.547885, -184.901679, -182.184849, -179.398804, -176.544952, -173.624703, -170.639464, -167.590646, -164.483127, -161.314771, -158.086911, -154.800882, -151.458016, -148.059647, -144.607109, -141.101736, -137.544861, -133.937818, -130.281941, -126.578563, -122.829017, -119.034639, -115.196761, -111.316716, -107.275317, -102.956267, -98.6094687, -94.2440696, -89.8692161, -85.4940548, -81.1277324, -76.7793954, -72.4581907, -68.1732647, -63.9337642, -59.7488359, -55.6276263, -51.5792823, -47.6129503, -43.7377771, -39.9629093, -37.4560671, -35.6227414, -33.8544978, -32.1228851, -30.3994521, -28.6557473, -26.8633197, -24.9937178, -23.0184904, -20.9091863, -18.6373541, -16.1745425, -13.4923004, -10.5621763, -7.35571909, -3.84447741, 0, 10.2359086, 20.1171173, 29.6669809, 38.9088542, 47.8660918, 56.5620486, 65.0200791, 73.2635382, 81.3157807, 89.2001611, 96.9400343, 104.558755, 112.079678, 119.526158, 126.921549, 134.289207, 140.590131, 145.69591, 152.032846, 159.396646, 167.583018, 176.387667, 185.606303, 195.034631, 204.468358, 213.703193, 222.534842, 230.759012, 238.17141, 243.166899, 247.455674, 251.253695, 254.776922, 260.254148, 266.894917, 273.372018, 279.297563, 284.283661, 287.942424, 289.885962, 290.205167, 287.887653, 282.451856, 273.416213, 260.299159, 245.718744, 225.318888, 197.843123, 162.034982, 116.637997, 60.4129821, -7.93492992, -88.1712277, -181.396954, -291.439905, -420.903623, -572.391646, -750.149254, -954.765126, -1185.03695, -1436.30395, -1721.10724, -2054.41136, -2442.56622, -2877.32462, -3357.13967, -3879.73829, -4443.38532, -5049.0083, -5696.02859, -6394.91257, -7132.33735, -7903.90102, -8705.20166, -9531.83737, -10383.3203, -11250.356, -12127.5639, -13009.5637, -13890.9749, -14710.0776, -15555.3906, -16445.6787, -17491.8864, -18676.2911, -19942.762, -21275.4968, -22658.6931, -24076.5489, -25513.2616, -26345.0891, -27646.0361, -29222.4034, -30880.4917, -32426.6015, -33667.0335, -34408.0884, -35621.9417, -36400.6617},
1992  {-271.120774, -266.241078, -261.663163, -257.375093, -253.364931, -249.62074, -246.130586, -242.88253, -239.864637, -237.064971, -234.471595, -232.072573, -229.855968, -227.809845, -225.922266, -224.181296, -222.574998, -221.091435, -219.718673, -218.444773, -217.257801, -216.145818, -215.09689, -214.09908, -213.140452, -212.209068, -211.292993, -210.380291, -209.459025, -208.517259, -207.543056, -206.524481, -205.449596, -204.306466, -202.667901, -200.738326, -198.727156, -196.63593, -194.466189, -192.21947, -189.897315, -187.501261, -185.032849, -182.493619, -179.885108, -177.208858, -174.466406, -171.659293, -168.789059, -165.857242, -162.865382, -159.834778, -156.746781, -153.602503, -150.403055, -147.149547, -143.843091, -140.484797, -137.075777, -133.617142, -130.110003, -126.555471, -122.954656, -119.308671, -115.618626, -111.885632, -108.1108, -104.171311, -99.9473201, -95.6955369, -91.4251059, -87.145172, -82.8648803, -78.5933758, -74.3398033, -70.1133078, -65.9230344, -61.778128, -57.6877336, -53.6609961, -49.7070605, -45.8350717, -42.0541748, -38.3735147, -35.9664309, -34.2354839, -32.5692413, -30.9390678, -29.316328, -27.6723865, -25.9786079, -24.206357, -22.3269981, -20.3118961, -18.1324155, -15.7599209, -13.165777, -10.3213483, -7.19799947, -3.76709518, 0, 10.5162872, 20.6189741, 30.3350672, 39.6915729, 48.7154978, 57.4338484, 65.873631, 74.0618524, 82.0255188, 89.7916369, 97.3872132, 104.839254, 112.174766, 119.420756, 126.604229, 133.752193, 139.591217, 143.962531, 149.834606, 156.955784, 165.074405, 173.938812, 183.297346, 192.898348, 202.49016, 211.821122, 220.639577, 228.693865, 235.732328, 239.784487, 242.947737, 245.486067, 247.663465, 251.80403, 257.141695, 262.361027, 267.107978, 271.028504, 273.768557, 274.974091, 275.265328, 273.017437, 267.685754, 258.725614, 245.592354, 233.256275, 214.279006, 186.73714, 148.707271, 98.2659942, 30.1690715, -50.127278, -137.040041, -229.690676, -336.805609, -462.798831, -612.084334, -794.014716, -1006.94295, -1243.83444, -1496.47346, -1779.4053, -2107.46408, -2487.26832, -2911.51553, -3379.2932, -3890.28339, -4443.72774, -5036.68769, -5667.45793, -6342.35102, -7050.41024, -7787.15486, -8548.10415, -9328.77736, -10111.5564, -10908.3823, -11718.0585, -12539.3888, -13371.1766, -14173.3993, -15009.5709, -15895.1351, -16926.6354, -18087.4131, -19327.0178, -20630.4803, -21982.8315, -23369.1023, -24774.3234, -25988.0818, -27369.0434, -28821.77, -30250.8234, -31560.7654, -32656.158, -33441.5629, -34589.2386, -35463.9089},
1993  {-267.841247, -262.812753, -258.093655, -253.671868, -249.535306, -245.671883, -242.069514, -238.716112, -235.599592, -232.707867, -230.028853, -227.550462, -225.26061, -223.147211, -221.198178, -219.401425, -217.744868, -216.21642, -214.803994, -213.495507, -212.27887, -211.142, -210.072809, -209.059212, -208.089124, -207.150458, -206.231128, -205.319049, -204.402134, -203.468299, -202.505456, -201.501521, -200.444408, -199.322029, -197.702995, -195.79369, -193.805542, -191.740073, -189.598803, -187.383255, -185.094949, -182.735407, -180.306151, -177.808702, -175.244582, -172.615312, -169.922413, -167.167406, -164.351815, -161.477159, -158.54496, -155.581035, -152.562084, -149.489101, -146.363081, -143.185019, -139.95591, -136.676748, -133.348528, -129.972245, -126.548893, -123.079469, -119.564965, -116.006378, -112.404701, -108.760931, -105.07606, -101.225931, -97.0893906, -92.9255522, -88.743524, -84.5524142, -80.3613306, -76.1793812, -72.0156739, -67.8793169, -63.7794179, -59.7250851, -55.7254263, -51.7895495, -47.9265628, -44.145574, -40.4556911, -36.8660222, -34.551833, -32.9146242, -31.3418797, -29.8048634, -28.2748394, -26.7230714, -25.1208234, -23.4393592, -21.6499428, -19.7238382, -17.632309, -15.3466194, -12.8380332, -10.0778142, -7.03722641, -3.68753371, 0, 9.996635, 19.6795971, 29.06747, 38.1788374, 47.032283, 55.6463905, 64.0397435, 72.2309257, 80.2385209, 88.0811127, 95.7772848, 103.345621, 110.804705, 118.17312, 125.46945, 132.712279, 138.872137, 143.817885, 149.938706, 157.028598, 164.881563, 173.291603, 182.052717, 190.958907, 199.804173, 208.382516, 216.487937, 223.914437, 230.456017, 234.628771, 237.973172, 240.666592, 242.886404, 246.236688, 250.181464, 253.804293, 256.854537, 259.081556, 260.23471, 260.063359, 260.555467, 258.540477, 253.329761, 244.234691, 230.56664, 216.811592, 195.812656, 165.58755, 124.153993, 69.5297063, -4.4464583, -90.4704117, -181.48693, -275.99776, -383.850138, -509.797404, -658.592903, -839.934986, -1052.50812, -1289.60221, -1544.85775, -1829.88702, -2156.28559, -2529.42911, -2944.15401, -3400.13437, -3898.59655, -4439.6171, -5017.58096, -5630.09258, -6280.55161, -6959.8757, -7663.66326, -8387.51269, -9127.0224, -9852.33945, -10590.8764, -11344.5946, -12115.4551, -12905.4193, -13691.8484, -14517.7036, -15395.489, -16407.3742, -17538.2873, -18744.1292, -20011.2791, -21326.1167, -22675.0212, -24044.3722, -25522.724, -26953.652, -28313.0774, -29576.9214, -30721.1053, -31721.5504, -32554.1778, -33576.3224, -34474.0904},
1994  {-264.87853, -259.753684, -254.939747, -250.424734, -246.19666, -242.243541, -238.553393, -235.114232, -231.914074, -228.940933, -226.182827, -223.62777, -221.263779, -219.078869, -217.061057, -215.198356, -213.478784, -211.890357, -210.421089, -209.058997, -207.792097, -206.608403, -205.495933, -204.442701, -203.436724, -202.466017, -201.518595, -200.582476, -199.645673, -198.696204, -197.722084, -196.711328, -195.651953, -194.531974, -192.930609, -191.048871, -189.092687, -187.063339, -184.962109, -182.790279, -180.54913, -178.239946, -175.864007, -173.422596, -170.916995, -168.348486, -165.718351, -163.027872, -160.27833, -157.471009, -154.60719, -151.700087, -148.738791, -145.724325, -142.657714, -139.53998, -136.372147, -133.155238, -129.890277, -126.578286, -123.220289, -119.817309, -116.370371, -112.880496, -109.348709, -105.776033, -102.163491, -98.388568, -94.3317147, -90.2487435, -86.1486865, -82.0405753, -77.933442, -73.8363182, -69.7582359, -65.708227, -61.6953232, -57.7285565, -53.8169586, -49.9695615, -46.195397, -42.5034969, -38.902893, -35.4026173, -33.1753569, -31.6238399, -30.1368086, -28.6855319, -27.2412788, -25.7753183, -24.2589194, -22.6633512, -20.9598825, -19.1197825, -17.1143201, -14.9147644, -12.4923842, -9.81844873, -6.86422685, -3.60098761, 0, 8.34850691, 16.7064331, 25.0670228, 33.4235203, 41.7691699, 50.0972159, 58.4009026, 66.6734743, 74.9081753, 83.0982499, 91.2369422, 99.3174968, 107.333158, 115.277169, 123.142776, 130.923222, 138.500819, 145.852963, 153.223819, 160.582859, 167.899556, 175.143383, 182.283813, 189.290319, 196.132374, 202.779452, 209.201025, 215.366565, 221.245547, 227.030246, 232.385637, 237.214354, 241.419028, 244.763301, 247.219302, 248.79622, 249.438386, 249.090129, 247.695778, 245.199662, 246.033617, 244.288703, 239.031259, 229.327624, 214.244137, 193.76165, 165.80336, 129.206978, 82.8102128, 25.4507754, -45.3831763, -127.854927, -219.332808, -319.757825, -434.32352, -565.865153, -717.217987, -891.245416, -1090.74817, -1318.49629, -1577.81539, -1870.39349, -2200.43725, -2569.97415, -2977.33916, -3422.56216, -3907.50766, -4432.68121, -4991.86136, -5582.63184, -6207.52148, -6858.40809, -7531.16363, -8221.66006, -8925.76933, -9607.96347, -10303.3643, -11015.6938, -11748.6739, -12506.0265, -13276.3933, -14088.63, -14952.9215, -15937.6217, -17029.8903, -18192.6498, -19414.2715, -20683.1269, -21987.5874, -23316.0246, -24839.5793, -26265.2854, -27588.6977, -28805.3708, -29910.8595, -30900.7187, -31770.503, -32590.519, -33408.961},
1995  {-262.386706, -257.158019, -252.24252, -247.628289, -243.303409, -239.25596, -235.474025, -231.945684, -228.659018, -225.60211, -222.763041, -220.129892, -217.690745, -215.433681, -213.346782, -211.418128, -209.635802, -207.987885, -206.462458, -205.047603, -203.731401, -202.501934, -201.347283, -200.255529, -199.214754, -198.21304, -197.238467, -196.279118, -195.323074, -194.358416, -193.373225, -192.355583, -191.293572, -190.175273, -188.588876, -186.73082, -184.802348, -182.804521, -180.738395, -178.605031, -176.405486, -174.140819, -171.81209, -169.420356, -166.966677, -164.45211, -161.877716, -159.244551, -156.553676, -153.806148, -151.003027, -148.145227, -145.233954, -142.27027, -139.255236, -136.189914, -133.075367, -129.912655, -126.70284, -123.446985, -120.146152, -116.801401, -113.413795, -109.984396, -106.514265, -103.004464, -99.4560548, -95.7482135, -91.763042, -87.7529829, -83.7269995, -79.6940549, -75.6631123, -71.6431348, -67.6430857, -63.6719281, -59.7386252, -55.8521401, -52.021436, -48.2554761, -44.5632236, -40.9536416, -37.4356933, -34.0183418, -31.8747353, -30.4072574, -29.0042991, -27.6370436, -26.276674, -24.8943735, -23.4613251, -21.948712, -20.3277174, -18.5695244, -16.645316, -14.5262755, -12.1835859, -9.58843047, -6.71199224, -3.52545437, 0, 6.96380804, 14.2139024, 21.7214734, 29.4577112, 37.3938061, 45.5009483, 53.750328, 62.1131355, 70.5605611, 79.0637949, 87.5940272, 96.1224482, 104.620248, 113.058618, 121.408746, 129.641825, 138.481357, 148.006008, 156.485304, 164.051644, 170.837431, 176.975064, 182.596943, 187.83547, 192.823044, 197.692066, 202.574936, 207.604056, 212.911825, 220.249016, 227.536255, 234.420429, 240.548428, 244.05389, 245.340328, 245.214791, 243.778143, 241.131247, 237.374967, 232.610167, 233.149201, 230.990989, 225.021105, 214.12512, 197.188609, 170.039634, 135.385654, 92.8766196, 42.1624793, -17.1068166, -83.5476633, -161.362678, -252.887058, -359.718776, -481.95064, -620.351247, -775.689191, -943.840199, -1131.57775, -1351.01301, -1614.72196, -1914.94721, -2248.99732, -2615.71224, -3016.52677, -3451.68463, -3923.30472, -4432.11693, -4971.97545, -5540.62376, -6140.35439, -6763.66191, -7406.71513, -8065.68285, -8736.73388, -9380.6014, -10037.7487, -10713.2036, -11411.9938, -12139.1469, -12892.0061, -13688.4067, -14536.67, -15494.372, -16550.337, -17672.8665, -18851.8111, -20077.0211, -21338.3472, -22625.6397, -24063.9334, -25444.0472, -26752.087, -27974.1584, -29096.3671, -30104.8188, -30985.6192, -31591.7965, -32312.0888},
1996  {-260.487583, -255.096982, -250.028034, -245.268632, -240.806669, -236.63004, -232.726637, -229.084354, -225.691084, -222.534721, -219.603158, -216.884288, -214.366005, -212.036203, -209.882775, -207.893613, -206.056613, -204.359666, -202.790667, -201.337509, -199.988084, -198.730288, -197.552013, -196.441152, -195.385599, -194.373248, -193.391991, -192.429723, -191.474336, -190.513725, -189.535781, -188.5284, -187.479474, -186.376897, -184.804632, -182.961033, -181.049311, -179.070467, -177.025502, -174.915419, -172.741219, -170.503903, -168.204474, -165.843933, -163.423282, -160.943522, -158.405656, -155.810685, -153.15961, -150.453434, -147.693159, -144.878588, -142.011947, -139.094263, -136.126564, -133.109878, -130.045231, -126.933653, -123.77617, -120.57381, -117.327602, -114.038571, -110.707747, -107.336157, -103.924828, -100.474788, -96.9870653, -93.3404708, -89.4167504, -85.4689935, -81.5061505, -77.5371719, -73.5710081, -69.6166096, -65.6829267, -61.7789099, -57.9135096, -54.0956764, -50.3343605, -46.6385125, -43.0170828, -39.4790218, -36.0332799, -32.6888077, -30.6320319, -29.2583981, -27.9491996, -26.6751754, -25.4070647, -24.1156064, -22.7715397, -21.3456035, -19.808537, -18.1310792, -16.2839692, -14.237946, -11.9637488, -9.43211647, -6.6137882, -3.47950303, 0, 6.89766256, 14.1141147, 21.6165163, 29.3720274, 37.3478079, 45.5110177, 53.8288169, 62.2683653, 70.796823, 79.3813498, 87.9891057, 96.5872507, 105.142945, 113.623348, 121.995619, 130.22692, 139.301863, 149.332959, 157.985984, 165.446125, 171.898568, 177.528497, 182.521099, 187.06156, 191.335064, 195.526798, 199.821947, 204.405697, 209.463234, 217.283126, 225.175935, 232.695834, 239.396992, 243.012889, 244.008042, 243.332486, 241.0866, 237.370761, 232.28535, 225.930745, 224.343837, 219.881727, 211.483303, 198.08745, 178.633057, 148.088324, 110.355496, 65.3661306, 13.0517876, -46.6559748, -110.379794, -185.845454, -278.680953, -391.61442, -521.45341, -667.663697, -829.71105, -999.818437, -1186.34053, -1405.53323, -1673.8712, -1979.20509, -2315.60469, -2680.29089, -3075.82397, -3502.31333, -3961.43142, -4453.69288, -4973.88121, -5520.02178, -6094.81025, -6690.88316, -7304.64923, -7932.5172, -8570.89577, -9177.50993, -9797.12307, -10435.8148, -11099.6649, -11794.7529, -12524.3232, -13299.181, -14126.6208, -15061.4985, -16092.2827, -17187.6246, -18336.9835, -19529.8188, -20755.5899, -22003.7559, -23110.1707, -24357.3751, -25672.1552, -26981.2975, -28211.5882, -29289.8137, -30142.7602, -30534.3348, -31226.0044},
1997  {-259.058751, -253.47454, -248.223926, -243.294467, -238.673721, -234.349248, -230.308606, -226.539353, -223.029047, -219.765248, -216.735514, -213.927404, -211.328475, -208.926286, -206.708396, -204.662364, -202.775747, -201.036105, -199.430996, -197.947978, -196.57461, -195.298451, -194.107058, -192.987991, -191.928808, -190.917067, -189.940327, -188.986147, -188.042085, -187.095699, -186.134548, -185.146191, -184.118185, -183.03809, -181.477703, -179.641208, -177.737786, -175.768488, -173.734364, -171.636466, -169.475844, -167.253549, -164.970632, -162.628143, -160.227133, -157.768654, -155.253755, -152.683488, -150.058903, -147.381052, -144.650984, -141.874549, -139.047896, -136.171972, -133.247721, -130.276093, -127.258033, -124.194487, -121.086404, -117.934729, -114.740409, -111.504391, -108.227622, -104.911048, -101.555616, -98.1622735, -94.7319662, -91.1419153, -87.2723123, -83.3792792, -79.4717834, -75.5587925, -71.6492736, -67.7521943, -63.8765219, -60.0312237, -56.2252672, -52.4676197, -48.7672487, -45.1331215, -41.5742054, -38.0994679, -34.7178764, -31.4383982, -29.4661148, -28.1867779, -26.9717628, -25.7912206, -24.6153027, -23.41416, -22.1579439, -20.8168055, -19.3608959, -17.7603664, -15.9853681, -14.0060522, -11.7925699, -9.31507232, -6.54371071, -3.44863621, 0, 7.66821068, 15.5284445, 23.5556325, 31.7247058, 40.0105954, 48.3882324, 56.8325478, 65.3184727, 73.8209381, 82.3148751, 90.7752148, 99.1768882, 107.494826, 115.70396, 123.779221, 131.69554, 140.318822, 149.751281, 157.952548, 165.088477, 171.324923, 176.82774, 181.762782, 186.295903, 190.592957, 194.819799, 199.142281, 203.72626, 208.737588, 216.341223, 223.970912, 231.192777, 237.572942, 241.210187, 242.404308, 241.846388, 239.542755, 235.499734, 229.72365, 222.22083, 217.489488, 209.676964, 197.910737, 181.318283, 159.027081, 127.282725, 88.8150466, 43.4719968, -8.89847579, -68.4484221, -131.290724, -206.553363, -301.586694, -419.736159, -556.170513, -709.729676, -879.253571, -1055.9575, -1248.03888, -1472.01285, -1744.36149, -2052.26165, -2389.20224, -2751.95835, -3142.87329, -3561.73447, -4009.45474, -4486.11329, -4987.66266, -5512.38967, -6063.54003, -6633.67874, -7219.37606, -7817.20223, -8423.72753, -8993.29816, -9575.26445, -10176.7527, -10804.8891, -11466.8, -12170.6808, -12921.8759, -13727.0532, -14642.3201, -15654.7749, -16730.9163, -17858.873, -19026.7732, -20222.7455, -21434.9182, -22098.798, -23179.1132, -24516.3251, -25950.8947, -27323.2831, -28473.9515, -29243.3609, -29452.5864, -30104.5765},
1998  {-257.975999, -252.192794, -246.75592, -241.652561, -236.869898, -232.395115, -228.215393, -224.317916, -220.689866, -217.318424, -214.190775, -211.2941, -208.615582, -206.142403, -203.861746, -201.760793, -199.826727, -198.046731, -196.407986, -194.897676, -193.502982, -192.211088, -191.009176, -189.884428, -188.824027, -187.815155, -186.844995, -185.90073, -184.969541, -184.038612, -183.095125, -182.126262, -181.119206, -180.061139, -178.508929, -176.673966, -174.772815, -172.806622, -170.776534, -168.683699, -166.529263, -164.314374, -162.040178, -159.707823, -157.318456, -154.873223, -152.373272, -149.819751, -147.213805, -144.556583, -141.84923, -139.106895, -136.316421, -133.478651, -130.594429, -127.664599, -124.690004, -121.671487, -118.609893, -115.506064, -112.360845, -109.175079, -105.949609, -102.68528, -99.382934, -96.0434154, -92.6675675, -89.1306043, -85.3107559, -81.4679677, -77.6112274, -73.7495227, -69.8918413, -66.0471706, -62.2244985, -58.4328125, -54.6811003, -50.9783495, -47.3335477, -43.7556826, -40.2537418, -36.836713, -33.5135838, -30.2933419, -28.3975632, -27.2034362, -26.0735746, -24.9776153, -23.885195, -22.7659507, -21.589519, -20.3255369, -18.9436411, -17.4134684, -15.7046557, -13.7868398, -11.6296574, -9.20274542, -6.47574066, -3.41827991, 0, 8.80359995, 17.5961659, 26.3661352, 35.1019456, 43.7920345, 52.4248395, 60.9887981, 69.4723477, 77.863926, 86.1519705, 94.3249186, 102.371208, 110.279276, 118.03756, 125.634498, 133.058528, 140.872471, 149.146821, 156.57081, 163.255959, 169.313788, 174.855817, 179.993566, 184.838554, 189.502302, 194.09633, 198.732158, 203.521307, 208.575295, 215.625316, 222.569338, 229.032977, 234.641852, 238.168944, 239.666189, 239.412894, 237.290467, 233.180319, 226.963857, 218.522491, 210.435113, 199.064676, 183.764821, 163.889187, 138.791415, 107.015174, 68.9265691, 24.0817335, -27.9631994, -87.6520966, -151.699379, -228.83657, -326.612916, -448.471813, -589.473875, -748.443415, -924.204746, -1108.98284, -1309.7012, -1540.4826, -1815.31685, -2123.15711, -2458.61376, -2818.81607, -3205.16144, -3617.08813, -4054.82998, -4518.03153, -5003.42007, -5509.37307, -6039.3203, -6585.8096, -7145.46954, -7714.92868, -8290.8156, -8822.53169, -9365.73948, -9928.87431, -10520.3716, -11148.6666, -11827.8963, -12556.9934, -13341.9498, -14239.9476, -15236.7157, -16296.654, -17406.5579, -18553.223, -19723.4447, -20904.0185, -21151.1204, -22084.5621, -23454.0521, -25009.2991, -26500.0116, -27675.8984, -28286.6679, -28382.4257, -28900.8301},
1999  {-256.970622, -251.028351, -245.441801, -240.197889, -235.283537, -230.685663, -226.391187, -222.387028, -218.660106, -215.197341, -211.985652, -209.011958, -206.263179, -203.726234, -201.388043, -199.235526, -197.255601, -195.435189, -193.761208, -192.220579, -190.800221, -189.487053, -188.267995, -187.129966, -186.059886, -185.044674, -184.07125, -183.126533, -182.197443, -181.270899, -180.333821, -179.373128, -178.37574, -177.328576, -175.777249, -173.938613, -172.034828, -170.067136, -168.036777, -165.944991, -163.79302, -161.582104, -159.313485, -156.988402, -154.608097, -152.17381, -149.686783, -147.148255, -144.559468, -141.921662, -139.236079, -136.52786, -133.773827, -130.974701, -128.131207, -125.244066, -122.314002, -119.341736, -116.327991, -113.273491, -110.178957, -107.045113, -103.872681, -100.662383, -97.4149422, -94.1310815, -90.8115232, -87.329928, -83.563007, -79.773539, -75.9704835, -72.1628001, -68.3594482, -64.5693875, -60.8015774, -57.0649776, -53.3685476, -49.721247, -46.1320353, -42.609872, -39.1637167, -35.802529, -32.5352683, -29.3708944, -27.52898, -26.3877144, -25.3107363, -24.2677184, -23.2283335, -22.1622545, -21.0391543, -19.8287055, -18.5005811, -17.0244538, -15.3699965, -13.506882, -11.4047831, -9.03337265, -6.36232343, -3.36130827, 0, 9.81656342, 19.4172079, 28.8041679, 37.9796778, 46.9459722, 55.7052853, 64.2598517, 72.6119058, 80.7636821, 88.7174149, 96.4753388, 104.039688, 111.412697, 118.596601, 125.593633, 132.406029, 139.303146, 146.325381, 152.870757, 158.99875, 164.768836, 170.24049, 175.473186, 180.526402, 185.459611, 190.332289, 195.203912, 200.133955, 205.181894, 211.706196, 217.991047, 223.706224, 228.521502, 231.644434, 232.975909, 232.540078, 230.145387, 225.600281, 218.713205, 209.292604, 198.775633, 184.846333, 166.994489, 144.709887, 117.48231, 86.5367109, 49.1939155, 4.50991755, -48.4592898, -110.657713, -181.297783, -265.171453, -366.83602, -488.663085, -628.561793, -786.44484, -962.224923, -1151.94238, -1360.26235, -1596.07435, -1868.68509, -2171.15389, -2500.70022, -2855.6448, -3236.17436, -3641.61912, -4072.45974, -4528.32471, -5004.62408, -5499.15407, -6013.65295, -6541.36845, -7078.73223, -7622.17598, -8168.13138, -8654.38122, -9150.66828, -9668.08646, -10217.7296, -10810.6917, -11474.391, -12192.7141, -12969.7586, -13854.2933, -14832.7336, -15872.8821, -16962.0849, -18087.688, -19237.0377, -20397.4801, -20480.1244, -21396.5507, -22824.2262, -24440.6185, -25923.1951, -26949.4233, -27196.7706, -27441.9376, -27507.4317},
2000  {-256.262747, -250.167433, -244.43654, -239.056746, -234.014731, -229.297174, -224.890754, -220.782151, -216.958043, -213.40511, -210.11003, -207.059485, -204.240151, -201.63871, -199.241839, -197.036219, -195.008528, -193.145445, -191.433651, -189.859824, -188.410642, -187.072787, -185.832936, -184.677769, -183.593966, -182.568205, -181.587165, -180.637527, -179.705968, -178.779169, -177.843808, -176.886566, -175.89412, -174.85315, -173.298964, -171.453421, -169.543805, -167.571443, -165.537662, -163.44379, -161.291153, -159.081079, -156.814895, -154.493927, -152.119504, -149.692951, -147.215596, -144.688767, -142.113791, -139.491993, -136.824703, -134.14637, -131.42448, -128.659642, -125.852464, -123.003557, -120.113528, -117.182988, -114.212544, -111.202807, -108.154385, -105.067887, -101.943922, -98.7830991, -95.5860278, -92.3533169, -89.0855753, -85.6550894, -81.9372263, -78.1972513, -74.444092, -70.6866762, -66.9339315, -63.1947857, -59.4781664, -55.7930013, -52.1482181, -48.5527446, -45.0155084, -41.5454371, -38.1514586, -34.8425004, -31.6274904, -28.515356, -26.7193896, -25.6210043, -24.587138, -23.5876343, -22.5923371, -21.5710902, -20.4937371, -19.3301218, -18.050088, -16.6234793, -15.0201397, -13.2099127, -11.1626422, -8.84817195, -6.23634565, -3.29700709, 0, 10.7752239, 21.1319596, 31.0863138, 40.654393, 49.8523038, 58.6961528, 67.2020465, 75.3860916, 83.2643946, 90.853062, 98.1682005, 105.225917, 112.042317, 118.633508, 125.015597, 131.204689, 137.147978, 142.851724, 148.487912, 154.057882, 159.562973, 165.004524, 170.383873, 175.702361, 180.961327, 186.162109, 191.306046, 196.394479, 201.428745, 207.35015, 212.875414, 217.723886, 221.614916, 224.156023, 225.122472, 224.319349, 221.499552, 216.415982, 208.821535, 198.469112, 185.984737, 169.982447, 150.044314, 125.752406, 96.6887935, 66.518637, 29.7201419, -15.1453951, -69.5166772, -134.832408, -213.073742, -304.473935, -409.801878, -530.100398, -666.971605, -821.766503, -995.836095, -1190.02773, -1406.31054, -1647.20307, -1916.37616, -2211.93654, -2534.28519, -2883.25161, -3257.69698, -3656.92696, -4081.9321, -4532.45488, -5002.05982, -5487.80603, -5989.3314, -6500.71955, -7018.13697, -7537.75012, -8055.72549, -8497.44445, -8947.55485, -9419.91945, -9928.40098, -10486.8622, -11136.57, -11845.7135, -12616.411, -13487.8138, -14447.3809, -15467.1411, -16535.3251, -17640.1635, -18769.8871, -19912.7266, -19971.5883, -20919.7986, -22388.479, -24008.7508, -25411.7355, -26228.5544, -26090.3291, -26490.6239, -26016.7995},
2001  {-255.903863, -249.654952, -243.778789, -238.261827, -233.090525, -228.251336, -223.730716, -219.515123, -215.59101, -211.944835, -208.563052, -205.432118, -202.538489, -199.868619, -197.408965, -195.145982, -193.066127, -191.155855, -189.401622, -187.789883, -186.307095, -184.939712, -183.674191, -182.496988, -181.394558, -180.353358, -179.359842, -178.400466, -177.461687, -176.52996, -175.591741, -174.633485, -173.641649, -172.602687, -171.042991, -169.188724, -167.271583, -165.292954, -163.254222, -161.156773, -159.001993, -156.791268, -154.525983, -152.207524, -149.837277, -147.416628, -144.946963, -142.429667, -139.866126, -137.257726, -134.605853, -131.951794, -129.256168, -126.519496, -123.742299, -120.925098, -118.068413, -115.172766, -112.238677, -109.266666, -106.257256, -103.210966, -100.128318, -97.0098314, -93.8560281, -90.6674286, -87.4445537, -84.0586143, -80.3839259, -76.6877014, -72.9788442, -69.2662577, -65.5588454, -61.8655108, -58.1951572, -54.5566881, -50.9590071, -47.4110174, -43.9216226, -40.499726, -37.1542312, -33.8940416, -30.7280606, -27.6651916, -25.9118465, -24.8529865, -23.8591798, -22.9004684, -21.9468943, -20.9684995, -19.935326, -18.8174158, -17.5848108, -16.2075531, -14.6556846, -12.8992474, -10.9082835, -8.65283475, -6.10294327, -3.22865103, 0, 11.5561054, 22.5218714, 32.9253326, 42.7945236, 52.1574791, 61.0422335, 69.4768214, 77.4892775, 85.1076363, 92.3599323, 99.2742002, 105.878475, 112.20079, 118.269181, 124.111682, 129.756328, 134.841264, 139.338826, 144.158941, 149.246097, 154.544779, 159.999475, 165.554671, 171.154855, 176.744514, 182.268134, 187.670202, 192.895205, 197.88763, 203.186138, 207.923178, 211.864985, 214.777792, 216.579555, 216.960649, 215.570988, 212.131292, 206.362277, 197.984663, 186.719169, 172.81809, 155.308782, 133.807959, 107.932334, 77.2986213, 47.1422901, 10.0566097, -35.7463952, -92.0546995, -160.656279, -245.777696, -343.787841, -451.863903, -569.836459, -702.953415, -854.030409, -1025.88308, -1224.24116, -1448.34389, -1694.25149, -1959.96365, -2248.62467, -2563.71594, -2906.56538, -3274.852, -3667.92973, -4087.4195, -4533.26297, -4997.08945, -5475.23018, -5965.25371, -6462.06363, -6961.5629, -7459.65448, -7952.2413, -8353.61713, -8761.69641, -9192.78441, -9663.18636, -10189.2075, -10824.2846, -11522.8371, -12285.2568, -13142.0877, -14081.7864, -15080.2459, -16126.5509, -17209.7863, -18319.0366, -19443.3867, -19624.1708, -20637.7635, -22107.5852, -23657.0562, -24909.5971, -25488.6282, -25017.5701, -25477.1926, -24452.441},
2002  {-255.940798, -249.522074, -243.484644, -237.814757, -232.498661, -227.522604, -222.872835, -218.535604, -214.497157, -210.743744, -207.261612, -204.037012, -201.056191, -198.305397, -195.770879, -193.438886, -191.295666, -189.327468, -187.52054, -185.86113, -184.335488, -182.929861, -181.630498, -180.423648, -179.295559, -178.23248, -177.220658, -176.246344, -175.295784, -174.355228, -173.410924, -172.449121, -171.456067, -170.41801, -168.856897, -167.000892, -165.083744, -163.106767, -161.071278, -158.978592, -156.830026, -154.626896, -152.370518, -150.062207, -147.703281, -145.295054, -142.838843, -140.335964, -137.787732, -135.195465, -132.560478, -129.920124, -127.238901, -124.517343, -121.755986, -118.955364, -116.116012, -113.238465, -110.323257, -107.370924, -104.382, -101.357019, -98.2965174, -95.2010292, -92.0710892, -88.9072323, -85.7099933, -82.3498254, -78.7003052, -75.0302508, -71.3486297, -67.6644092, -63.9865569, -60.3240401, -56.6858264, -53.0808832, -49.5181779, -46.006678, -42.555351, -39.1731642, -35.8690852, -32.6520814, -29.5311201, -26.515169, -24.8177101, -23.8201181, -22.8892906, -21.9951061, -21.1074432, -20.1961807, -19.231197, -18.1823709, -17.019581, -15.7127059, -14.2316243, -12.5462147, -10.6263558, -8.44192628, -5.96280471, -3.15886974, 0, 11.6265849, 22.6357423, 33.0577523, 42.922895, 52.2614506, 61.1036992, 69.4799211, 77.4203962, 84.9554048, 92.1152271, 98.9301431, 105.430433, 111.646377, 117.608255, 123.346348, 128.890935, 133.711669, 137.758741, 142.330517, 147.337142, 152.688763, 158.295524, 164.067571, 169.915051, 175.748109, 181.47689, 187.011541, 192.262206, 197.139033, 201.983138, 206.115673, 209.317491, 211.369446, 212.111519, 211.295003, 208.655418, 203.95588, 196.959507, 187.429412, 175.128713, 161.23821, 143.671863, 121.915417, 95.454612, 63.7751916, 29.8389536, -11.213429, -60.7652275, -120.199713, -190.900158, -275.673818, -372.739553, -479.206962, -595.14062, -726.638183, -877.088575, -1049.88072, -1253.24555, -1484.62953, -1736.19696, -2002.61682, -2289.36247, -2600.69782, -2938.4559, -3300.35077, -3685.98713, -4097.61822, -4535.5354, -4990.31892, -5458.04219, -5935.2591, -6417.48865, -6900.63793, -7380.61402, -7853.32402, -8231.27839, -8614.62999, -9020.13504, -9464.5498, -9964.63049, -10575.6241, -11250.1357, -11988.4253, -12821.5274, -13737.5206, -14711.6613, -15732.6692, -16789.2642, -17870.1663, -18964.0952, -19612.9685, -20719.0696, -22027.7583, -23284.3946, -24234.3384, -24622.9497, -24195.5884, -24180.6015, -22781.8064},
2003  {-256.431669, -249.833255, -243.624817, -237.792402, -232.322052, -227.199811, -222.411723, -217.943833, -213.782183, -209.912818, -206.321781, -202.995117, -199.918869, -197.079082, -194.461798, -192.053063, -189.838919, -187.80541, -185.938581, -184.224476, -182.649137, -181.19861, -179.858938, -178.616164, -177.456333, -176.365488, -175.329674, -174.334934, -173.367312, -172.412852, -171.457598, -170.487593, -169.488882, -168.447508, -166.882115, -165.022278, -163.10319, -161.126063, -159.092109, -157.00254, -154.858567, -152.661403, -150.412259, -148.112347, -145.762879, -143.365068, -140.920124, -138.42926, -135.893688, -133.31462, -130.693267, -128.059746, -125.385739, -122.671829, -119.918603, -117.126645, -114.296541, -111.428876, -108.524236, -105.583205, -102.60637, -99.594315, -96.5476256, -93.4668872, -90.352685, -87.2056043, -84.0262305, -80.6848412, -77.0548427, -73.40557, -69.7460557, -66.0853324, -62.4324327, -58.7963892, -55.1862345, -51.6110013, -48.079722, -44.6014294, -41.185156, -37.8399345, -34.5747974, -31.3987773, -28.3209069, -25.3502188, -23.7094376, -22.7752215, -21.9096411, -21.0823423, -20.2629712, -19.4211735, -18.5265954, -17.5488828, -16.4576817, -15.2226379, -13.8133975, -12.1996065, -10.3509107, -8.23695625, -5.82738899, -3.09185492, 0, 11.4448745, 22.2966395, 32.5842498, 42.3366597, 51.582824, 60.3516971, 68.6722336, 76.5733882, 84.0841153, 91.2333696, 98.0501056, 104.563278, 110.801841, 116.79475, 122.570958, 128.159422, 132.921962, 136.792229, 141.308167, 146.355774, 151.821047, 157.589984, 163.548582, 169.58284, 175.578755, 181.422325, 186.999547, 192.196419, 196.898939, 201.327626, 204.911298, 207.435598, 208.686165, 208.328483, 206.208272, 202.203295, 196.135242, 187.825801, 177.096661, 163.769513, 150.284969, 133.04873, 111.370085, 84.5583256, 51.9227412, 13.0129065, -33.1622429, -87.3534875, -150.311608, -222.787385, -305.047297, -398.91835, -502.641188, -616.974681, -747.81908, -898.766258, -1073.40809, -1281.36909, -1518.83745, -1775.42029, -2043.64068, -2330.12607, -2639.11708, -2972.56239, -3328.52715, -3706.85913, -4110.26914, -4539.3472, -4984.18549, -5440.81435, -5905.43783, -6373.88586, -6842.12867, -7306.13649, -7761.87952, -8123.10651, -8488.56454, -8874.77923, -9298.27618, -9775.58099, -10360.2942, -11007.1498, -11716.7842, -12523.6832, -13415.0843, -14364.1212, -15358.7369, -16386.8742, -17436.4758, -18495.4846, -19685.797, -20883.9209, -21988.3037, -22897.3929, -23509.6359, -23723.4802, -23437.3733, -22790.8939, -21108.1006},
2004  {-257.431268, -250.643145, -244.253935, -238.249471, -232.615583, -227.338104, -222.402867, -217.795703, -213.502444, -209.508923, -205.800971, -202.364421, -199.185104, -196.248853, -193.541499, -191.048876, -188.756814, -186.651146, -184.717704, -182.94232, -181.310826, -179.809054, -178.422837, -177.138005, -175.940392, -174.81583, -173.75015, -172.729184, -171.738765, -170.764724, -169.792895, -168.809108, -167.799195, -166.74899, -165.173534, -163.303955, -161.377044, -159.393909, -157.35566, -155.263409, -153.118264, -150.921336, -148.673736, -146.376572, -144.030956, -141.637998, -139.198807, -136.714493, -134.186167, -131.61494, -129.00192, -126.369508, -123.697063, -120.985233, -118.234667, -115.446013, -112.619921, -109.757038, -106.858013, -103.923494, -100.954131, -97.9505723, -94.9134657, -91.8434601, -88.741204, -85.6073462, -82.4425352, -79.1176469, -75.5066732, -71.8779088, -68.240415, -64.603253, -60.9754839, -57.366169, -53.7843695, -50.2391466, -46.7395615, -43.2946754, -39.9135495, -36.6052451, -33.3788233, -30.2433453, -27.2078724, -24.2814657, -22.6942401, -21.8190467, -21.0140607, -20.2487177, -19.4924533, -18.7147033, -17.8849032, -16.9724888, -15.9468958, -14.7775598, -13.4339164, -11.8854014, -10.1014504, -8.05149909, -5.70498314, -3.03133822, 0, 11.1773799, 21.8050992, 31.909248, 41.5159168, 50.651196, 59.3411759, 67.6119469, 75.4895994, 83.0002237, 90.1699101, 97.0247491, 103.590831, 109.894246, 115.961085, 121.817438, 127.489395, 132.272778, 136.089352, 140.617008, 145.72535, 151.283981, 157.162506, 163.230529, 169.357654, 175.413485, 181.267627, 186.789682, 191.849256, 196.315953, 200.33235, 203.394987, 205.291577, 205.809831, 204.462108, 201.173796, 195.943712, 188.642175, 179.1395, 167.306008, 153.012015, 139.858976, 122.85051, 101.126929, 73.8285458, 40.0956741, -4.04010371, -55.5525618, -114.524205, -181.037537, -255.175063, -334.410101, -424.623347, -525.724451, -639.322896, -770.498656, -922.773525, -1099.6693, -1311.27151, -1553.04645, -1813.29997, -2083.47831, -2370.47518, -2678.10777, -3008.18753, -3359.12729, -3730.89989, -4126.33954, -4546.16092, -4980.58707, -5425.77568, -5878.27217, -6333.78689, -6788.34333, -7237.965, -7678.6754, -8026.40373, -8377.29136, -8747.38535, -9152.73278, -9609.38072, -10168.1397, -10787.1177, -11467.4632, -12248.1265, -13115.293, -14039.3969, -15007.4109, -16006.3077, -17023.0601, -18044.6408, -19716.3085, -20984.5838, -21889.4624, -22470.9401, -22769.0127, -22823.6759, -22674.9255, -21377.0466, -19494.5479},
2005  {-259.094316, -252.10829, -245.53043, -239.346333, -233.541595, -228.101813, -223.012583, -218.259503, -213.828167, -209.704172, -205.873116, -202.320594, -199.032203, -195.993539, -193.190198, -190.607778, -188.231875, -186.048084, -184.042003, -182.199227, -180.505354, -178.945979, -177.5067, -176.173112, -174.930812, -173.765396, -172.662461, -171.607604, -170.58642, -169.584506, -168.587459, -167.580875, -166.55035, -165.481481, -163.882178, -161.986928, -160.035959, -158.03037, -155.97126, -153.859725, -151.696865, -149.483778, -147.221562, -144.911316, -142.554137, -140.151125, -137.703376, -135.21199, -132.678065, -130.102699, -127.48699, -124.851801, -122.178037, -119.466369, -116.717465, -113.931997, -111.110633, -108.254044, -105.362899, -102.437869, -99.4796221, -96.4888295, -93.4661606, -90.4122853, -87.3278733, -84.2135945, -81.0701187, -77.7701747, -74.189563, -70.5928223, -66.9889163, -63.3868089, -59.7954637, -56.2238445, -52.6809149, -49.1756388, -45.7169798, -42.3139016, -38.9753681, -35.7103429, -32.5277897, -29.4366723, -26.4459545, -23.5645998, -22.0199951, -21.1862647, -20.4228884, -19.6992898, -18.9848924, -18.2491199, -17.4613958, -16.5911437, -15.6077871, -14.4807495, -13.1794546, -11.6733259, -9.93178696, -7.92426133, -5.62017259, -2.98894429, 0, 11.1347384, 21.7250013, 31.7958475, 41.3723358, 50.4795251, 59.1424742, 67.3862419, 75.2358871, 82.7164686, 89.8530452, 96.6706758, 103.194419, 109.449334, 115.46048, 121.252914, 126.851697, 131.53102, 135.208674, 139.608109, 144.593484, 150.028957, 155.778687, 161.706832, 167.677552, 173.555004, 179.203349, 184.486744, 189.269348, 193.415321, 197.018571, 199.629265, 201.042635, 201.053915, 199.291848, 195.634912, 190.005982, 182.25024, 172.212865, 159.739038, 144.673938, 130.658886, 112.587575, 89.5624635, 60.6860086, 25.060668, -22.7223488, -77.9215247, -140.30659, -209.647276, -285.713313, -364.630264, -454.26601, -555.696937, -670.997468, -804.279675, -958.740766, -1137.57795, -1350.13795, -1592.07085, -1852.31815, -2122.79991, -2409.7946, -2716.94444, -3045.78366, -3394.27461, -3762.01921, -4150.92881, -4561.2041, -4984.57764, -5417.57204, -5858.54229, -6301.8967, -6743.52359, -7179.31126, -7605.14804, -7935.88031, -8268.6988, -8619.75228, -9005.18954, -9441.15938, -9978.94326, -10576.1355, -11233.8281, -11993.0119, -12838.9856, -13740.4231, -14683.4541, -15654.2086, -16638.8163, -17623.407, -19376.5516, -20629.7666, -21450.1334, -21904.7335, -22060.6484, -21984.9595, -21744.7484, -20047.6994, -18075.8632},
2006  {-261.466571, -254.273347, -247.498006, -241.125875, -235.142283, -229.532558, -224.282028, -219.376022, -214.799868, -210.538894, -206.578429, -202.9038, -199.500336, -196.353365, -193.448215, -190.770215, -188.304694, -186.036978, -183.952397, -182.036278, -180.273951, -178.650742, -177.151982, -175.762997, -174.469115, -173.255667, -172.107978, -171.011379, -169.951196, -168.912759, -167.881395, -166.842433, -165.781201, -164.683028, -163.044103, -161.104613, -159.110622, -157.063331, -154.963943, -152.813659, -150.61368, -148.365208, -146.069446, -143.727595, -141.340856, -138.910431, -136.437522, -133.92333, -131.369058, -128.775907, -126.145079, -123.504005, -120.827087, -118.114961, -115.368258, -112.587613, -109.773657, -106.927024, -104.048348, -101.138261, -98.1973959, -95.2263868, -92.2258663, -89.1964677, -86.1388239, -83.0535681, -79.9413334, -76.6781139, -73.1428962, -69.5933721, -66.0382545, -62.4862564, -58.9460906, -55.4264703, -51.9361083, -48.4837175, -45.078011, -41.7277017, -38.4415025, -35.2281264, -32.0962864, -29.0546953, -26.1120662, -23.2771119, -21.761658, -20.9475553, -20.2021942, -19.4952443, -18.7963752, -18.0752566, -17.3015581, -16.4449494, -15.4751, -14.3616797, -13.0743581, -11.5828047, -9.85668935, -7.86568154, -5.57945095, -2.96766723, 0, 11.4353913, 22.2705549, 32.5327715, 42.2493214, 51.4474853, 60.1545437, 68.397777, 76.2044659, 83.6018909, 90.6173325, 97.2780713, 103.611388, 109.644562, 115.404876, 120.919608, 126.216041, 130.577858, 133.926113, 137.970028, 142.577542, 147.616593, 152.95512, 158.461062, 164.002357, 169.446944, 174.662762, 179.517749, 183.879845, 187.616987, 190.779023, 192.985284, 194.049134, 193.783941, 192.289824, 189.236772, 184.218306, 176.961766, 167.194492, 154.643823, 139.0371, 122.621134, 101.836998, 75.9190899, 44.1018109, 5.61956032, -43.5693232, -100.135364, -164.025146, -235.185256, -313.562278, -395.973225, -489.319287, -594.91601, -714.716648, -851.976434, -1009.36604, -1189.55613, -1400.03435, -1637.55962, -1893.63604, -2162.1674, -2448.09521, -2755.38763, -3085.2434, -3434.16858, -3800.82327, -4185.04005, -4585.78301, -4997.71695, -5417.93859, -5848.09297, -6280.02873, -6709.26814, -7131.33348, -7541.74705, -7849.62504, -8158.49733, -8485.48774, -8847.72007, -9262.31813, -9785.86948, -10369.725, -11014.0954, -11758.2789, -12587.0141, -13468.7533, -14389.0495, -15333.4557, -16287.5248, -17236.8099, -18572.9003, -19708.8378, -20593.6321, -21176.2929, -21405.8299, -21231.2528, -20601.5715, -18853.6713, -16904.2323},
2007  {-264.383961, -256.967526, -249.979444, -243.40475, -237.228477, -231.435661, -226.011334, -220.940532, -216.208288, -211.799637, -207.699613, -203.89325, -200.365582, -197.101644, -194.086469, -191.305092, -188.742547, -186.383868, -184.21409, -182.218246, -180.381371, -178.688499, -177.124664, -175.674901, -174.324242, -173.057724, -171.86038, -170.717243, -169.613349, -168.533731, -167.463424, -166.387462, -165.290879, -164.158709, -162.473965, -160.483252, -158.439207, -156.343155, -154.196424, -152.000339, -149.756225, -147.465408, -145.129213, -142.748968, -140.325997, -137.861626, -135.357181, -132.813988, -130.233372, -127.616659, -124.965175, -122.313844, -119.629664, -116.913234, -114.165151, -111.386013, -108.576416, -105.736958, -102.868237, -99.9708496, -97.0453937, -94.0924667, -91.1126658, -88.1065886, -85.0748325, -82.0179948, -78.936673, -75.7110768, -72.2243063, -68.7252496, -65.2223083, -61.7238842, -58.2383788, -54.7741939, -51.3397311, -47.943392, -44.5935784, -41.2986918, -38.067134, -34.9073067, -31.8276113, -28.8364498, -25.9422236, -23.1533345, -21.6611886, -20.8578025, -20.1209738, -19.4207135, -18.7270323, -18.0099413, -17.2394512, -16.385573, -15.4183175, -14.3076957, -13.0237184, -11.5363966, -9.81574108, -7.83176277, -5.55447257, -2.95388134, 0, 11.8276695, 22.9826085, 33.4952365, 43.3959729, 52.7152373, 61.4834492, 69.731028, 77.4883933, 84.7859645, 91.6541612, 98.1234028, 104.224109, 109.986699, 115.441592, 120.619209, 125.549968, 129.514511, 132.436146, 136.04122, 140.199484, 144.780692, 149.654596, 154.69095, 159.759505, 164.730016, 169.472234, 173.855913, 177.750806, 181.026665, 183.64748, 185.354213, 185.988347, 185.391363, 184.262023, 182.013169, 177.829034, 171.293916, 161.992113, 149.507921, 133.425639, 114.214356, 90.3042936, 61.1066374, 26.0325737, -15.5067115, -65.4473714, -122.694046, -187.498713, -260.113353, -340.789943, -427.544009, -525.597429, -636.336191, -761.463584, -903.330711, -1063.99782, -1245.52516, -1453.16846, -1685.06624, -1935.87106, -2201.93423, -2486.5935, -2794.13375, -3125.38159, -3475.3037, -3841.55658, -4221.78819, -4613.65282, -5014.83596, -5423.00542, -5843.11631, -6264.42807, -6682.08603, -7091.2355, -7487.02181, -7772.23266, -8057.46039, -8360.93972, -8700.90537, -9095.59207, -9607.85262, -10181.5583, -10815.8217, -11547.3045, -12360.2561, -13223.281, -14121.4108, -15039.6776, -15963.1132, -16876.7494, -17662.9683, -18651.6324, -19636.9178, -20413.0004, -20774.0562, -20514.2609, -19427.7906, -17734.4354, -15872.9148},
2008  {-267.802551, -260.14339, -252.924016, -246.129141, -239.743478, -233.751738, -228.138633, -222.888877, -217.987179, -213.418254, -209.166813, -205.217567, -201.555229, -198.164512, -195.030127, -192.136786, -189.469201, -187.012085, -184.750149, -182.668106, -180.750668, -178.982546, -177.348453, -175.833101, -174.421203, -173.097469, -171.846612, -170.653345, -169.502379, -168.378427, -167.2662, -166.15041, -165.015771, -163.846993, -162.113184, -160.067705, -157.97011, -155.821846, -153.624355, -151.379084, -149.087475, -146.750973, -144.371024, -141.94907, -139.486558, -136.98493, -134.445632, -131.870108, -129.259803, -126.61616, -123.940625, -121.274571, -118.578648, -115.853434, -113.099508, -110.317449, -107.507837, -104.671249, -101.808264, -98.9194625, -96.0054218, -93.0667212, -90.1039396, -87.1176557, -84.1084484, -81.0768966, -78.023579, -74.8337642, -71.3954892, -67.9471519, -64.496806, -61.0525056, -57.6223046, -54.2142569, -50.8364164, -47.4968372, -44.203573, -40.9646779, -37.7882058, -34.6822107, -31.6547463, -28.7138668, -25.867626, -23.1240779, -21.6512059, -20.8527016, -20.1183152, -19.4184587, -18.7235441, -18.0039833, -17.2301884, -16.3725714, -15.4015442, -14.2875188, -13.0009073, -11.5121216, -9.79157367, -7.80967557, -5.53683926, -2.94347674, 0, 12.2718137, 23.7875483, 34.5814944, 44.6879428, 54.1411838, 62.9755081, 71.2252064, 78.9245691, 86.1078869, 92.8094503, 99.06355, 104.904477, 110.36652, 115.483972, 120.291123, 124.822263, 128.316205, 130.693602, 133.788036, 137.463338, 141.583341, 146.011874, 150.612771, 155.249861, 159.786976, 164.087947, 168.016605, 171.436783, 174.21231, 176.145566, 177.184368, 177.210981, 176.107673, 175.250718, 173.77538, 170.418518, 164.614199, 155.796485, 143.399443, 126.857135, 104.747587, 77.6214374, 45.0802358, 6.72553289, -37.8411209, -88.1785226, -145.734687, -211.117978, -284.936757, -367.799388, -459.112043, -562.154617, -678.295673, -808.940447, -955.569058, -1119.628, -1302.56378, -1507.39244, -1733.63421, -1979.09709, -2242.57323, -2525.81569, -2833.34338, -3165.63017, -3516.29577, -3882.10608, -4258.80459, -4642.89214, -5034.61822, -5432.11187, -5843.04088, -6254.52802, -6661.40043, -7058.48527, -7440.6097, -7704.57291, -7967.73699, -8249.43608, -8569.00431, -8945.77583, -9449.07234, -10014.9154, -10641.2158, -11361.4975, -12159.5746, -13004.4225, -13880.597, -14772.6543, -15665.1504, -16542.6412, -16746.0083, -17578.5372, -18671.5662, -19656.4336, -20164.4778, -19827.037, -18275.4495, -16693.2166, -14966.1649},
2009  {-271.647706, -263.714198, -256.233634, -249.190364, -242.568741, -236.353118, -230.527847, -225.07728, -219.98577, -215.237669, -210.81733, -206.709104, -202.897345, -199.366404, -196.100634, -193.084388, -190.302017, -187.737874, -185.376311, -183.201681, -181.198337, -179.350629, -177.642912, -176.059537, -174.584856, -173.203222, -171.898988, -170.656505, -169.460127, -168.294205, -167.143091, -165.991139, -164.8227, -163.622127, -161.846404, -159.754659, -157.612361, -155.420976, -153.18197, -150.896811, -148.566963, -146.193895, -143.779073, -141.323962, -138.830029, -136.298742, -133.731566, -131.129968, -128.495414, -125.829371, -123.133306, -120.446681, -117.732144, -114.990335, -112.221899, -109.427478, -106.607715, -103.763252, -100.894733, -98.0027999, -95.0880956, -92.151263, -89.1929448, -86.213784, -83.2144231, -80.1955051, -77.1576727, -73.9923016, -70.5933912, -67.1869392, -63.7806716, -60.3823148, -56.9995947, -53.6402374, -50.3119692, -47.0225161, -43.7796042, -40.5909597, -37.4643086, -34.4073772, -31.4278915, -28.5335776, -25.7321616, -23.0313697, -21.5778798, -20.7859857, -20.0562921, -19.359564, -18.6665661, -17.9480636, -17.1748213, -16.3176043, -15.3471773, -14.2343055, -12.9497536, -11.4642868, -9.7486698, -7.7736677, -5.5100454, -2.92856786, 0, 12.6900572, 24.5404796, 35.5901342, 45.8778878, 55.4426074, 64.3231599, 72.5584123, 80.1872314, 87.2484843, 93.7810379, 99.8237591, 105.415515, 110.595172, 115.401598, 119.873659, 124.050222, 126.969764, 128.52824, 131.027302, 134.29145, 138.14518, 142.412991, 146.919379, 151.488843, 155.945879, 160.114987, 163.820662, 166.887404, 169.139708, 169.953714, 169.766678, 168.537604, 166.225498, 164.909265, 163.487961, 160.295336, 154.654425, 145.888263, 133.319888, 116.272333, 92.0810272, 62.6615385, 27.7257832, -13.0143231, -59.8468644, -111.087862, -169.490479, -235.835815, -310.90497, -395.479044, -489.58189, -595.67738, -715.272603, -849.678064, -999.80291, -1166.73649, -1351.56816, -1556.27342, -1780.85406, -2024.34514, -2286.39516, -2568.14277, -2873.92658, -3204.07711, -3552.1333, -3914.75154, -4287.55553, -4666.93392, -5053.06188, -5443.9727, -5846.85818, -6249.18412, -6645.81358, -7031.60963, -7401.43531, -7649.6767, -7896.79308, -8162.76675, -8467.58, -8831.21515, -9327.74833, -9887.00543, -10505.7857, -11214.5195, -11996.6937, -12821.7823, -13673.9728, -14537.4527, -15396.4097, -16235.0312, -16097.3152, -16820.8832, -17946.7733, -19016.0235, -19569.6721, -19148.7571, -17294.3165, -15738.2395, -14159.0129},
2010  {-275.882505, -267.641496, -259.868388, -252.547136, -245.661694, -239.196017, -233.13406, -227.459776, -222.157121, -217.21005, -212.602516, -208.318475, -204.341881, -200.656688, -197.246852, -194.096327, -191.189066, -188.509026, -186.040161, -183.766424, -181.671772, -179.740157, -177.955536, -176.301862, -174.763091, -173.323176, -171.966072, -170.675734, -169.436117, -168.231175, -167.044862, -165.861134, -164.663944, -163.437248, -161.628013, -159.499981, -157.32335, -155.0995, -152.829814, -150.515671, -148.158453, -145.75954, -143.320313, -140.842154, -138.326442, -135.774559, -133.187886, -130.567804, -127.915693, -125.232935, -122.52091, -119.808067, -117.068132, -114.3019, -111.510164, -108.693718, -105.853357, -102.989875, -100.104065, -97.1967222, -94.2686402, -91.3206132, -88.3534353, -85.3679005, -82.3648029, -79.3449366, -76.3090958, -73.1556334, -69.7853622, -66.410353, -63.0380409, -59.6758607, -56.3312474, -53.0116359, -49.7244611, -46.477158, -43.2771613, -40.1319062, -37.0488274, -34.03536, -31.0989388, -28.2469987, -25.4869747, -22.8263017, -21.3935776, -20.6120736, -19.8915855, -19.2031644, -18.5178613, -17.8067272, -17.0408131, -16.1911701, -15.2288492, -14.1249013, -12.8503777, -11.3763292, -9.67380684, -7.71386174, -5.46754488, -2.90590729, 0, 13.051323, 25.1840721, 36.4421743, 46.8695571, 56.5101476, 65.4078732, 73.6066609, 81.1504382, 88.0831323, 94.4486703, 100.29098, 105.653987, 110.581621, 115.117808, 119.306474, 123.191549, 125.447767, 125.923458, 127.759528, 130.706506, 134.514921, 138.935304, 143.718182, 148.614085, 153.373542, 157.747083, 161.485237, 164.338532, 166.057499, 165.328835, 163.356972, 160.211589, 155.962364, 153.368779, 151.15561, 147.330356, 141.155754, 131.894542, 118.809459, 101.163242, 75.8546804, 45.2299246, 9.01422461, -33.0671697, -81.2890084, -134.110939, -194.07659, -261.914486, -338.353153, -424.121117, -518.920546, -625.76076, -746.486952, -882.559935, -1034.65574, -1203.80275, -1391.02934, -1598.64237, -1826.10119, -2071.47047, -2333.45299, -2613.67725, -2915.87272, -3240.46135, -3582.2607, -3938.6608, -4307.08072, -4684.91802, -5069.46395, -5458.06991, -5854.09663, -6247.96164, -6634.93618, -7010.2915, -7369.29884, -7607.92004, -7845.56308, -8102.32655, -8398.30901, -8753.60907, -9244.85295, -9797.92649, -10408.7021, -11104.9803, -11869.9952, -12673.6779, -13499.928, -14332.6449, -15155.7281, -15953.077, -15775.9273, -16450.8696, -17518.1081, -18517.8472, -18990.2913, -18475.6444, -16514.1111, -14871.5871, -13437.8199},
2011  {-280.514156, -271.943319, -263.856434, -256.237031, -249.068639, -242.334787, -236.019004, -230.104818, -224.57576, -219.415357, -214.607139, -210.134634, -205.981373, -202.130883, -198.566694, -195.272334, -192.231334, -189.42722, -186.843524, -184.463773, -182.271497, -180.250224, -178.383484, -176.654805, -175.047717, -173.545748, -172.132428, -170.791285, -169.505849, -168.259648, -167.036212, -165.819069, -164.591748, -163.337779, -161.493993, -159.328767, -157.117048, -154.860106, -152.559212, -150.215637, -147.830651, -145.405524, -142.941526, -140.439927, -137.902, -135.329012, -132.722235, -130.08294, -127.412396, -124.711875, -121.982645, -119.239986, -116.470856, -113.676222, -110.857051, -108.01431, -105.148965, -102.261982, -99.3543296, -96.4269731, -93.4808796, -90.5170157, -87.5363483, -84.539844, -81.5284695, -78.5031915, -75.4649767, -72.3193984, -68.9743202, -65.6274507, -62.2859405, -58.9569401, -55.6476004, -52.365072, -49.1165054, -45.9090515, -42.7498609, -39.6460841, -36.604872, -33.6333752, -30.7387442, -27.9281299, -25.2086829, -22.5875538, -21.1749006, -20.4031702, -19.6915518, -19.0114014, -18.3340751, -17.6309288, -16.8733183, -16.0325997, -15.080129, -13.9872621, -12.7253549, -11.2657634, -9.57984354, -7.63895133, -5.4144427, -2.8776736, 0, 13.379153, 25.7634313, 37.2018575, 47.7434545, 57.4372451, 66.332252, 74.477498, 81.922006, 88.7147986, 94.9048988, 100.541329, 105.673113, 110.349272, 114.61883, 118.530809, 122.134232, 123.706132, 123.042388, 124.200099, 126.848576, 130.657128, 135.295067, 140.431702, 145.736344, 150.878303, 155.526891, 159.351416, 162.02119, 163.205523, 160.862539, 157.00017, 151.801082, 145.447941, 141.319278, 137.999825, 133.222089, 126.209976, 116.187394, 102.37825, 84.0064511, 57.7906485, 26.2224752, -10.9840027, -54.1147189, -103.455607, -157.897454, -219.470128, -288.808349, -366.546838, -453.320316, -548.337895, -655.402315, -776.705892, -913.901217, -1067.53895, -1238.66449, -1428.32324, -1639.48818, -1870.83905, -2118.95279, -2381.15837, -2659.85613, -2958.09404, -3276.45326, -3611.33514, -3961.05965, -4325.27959, -4702.66049, -5086.9807, -5474.78303, -5864.9128, -6251.25608, -6629.55865, -6995.56629, -7345.02479, -7576.5731, -7807.34054, -8057.3496, -8346.62276, -8695.18253, -9181.18188, -9727.75914, -10330.0237, -11013.8819, -11762.2527, -12545.2231, -13346.3536, -14149.2048, -14937.3374, -15694.3118, -15587.896, -16237.5508, -17214.6256, -18090.4699, -18436.4333, -17823.8651, -15824.1149, -14088.1572, -12802.2021},
2012  {-285.519624, -276.598986, -268.179278, -260.24358, -252.774968, -245.756523, -239.171321, -233.002443, -227.232966, -221.845968, -216.824528, -212.151725, -207.810637, -203.784343, -200.05592, -196.608448, -193.425005, -190.488668, -187.782518, -185.289632, -182.993088, -180.875965, -178.921342, -177.112297, -175.431908, -173.863255, -172.389414, -170.993465, -169.658487, -168.367557, -167.103755, -165.850157, -164.589844, -163.305894, -161.424407, -159.218667, -156.96865, -154.675508, -152.340397, -149.964468, -147.548876, -145.094774, -142.603315, -140.075653, -137.512941, -134.916333, -132.286982, -129.626041, -126.934664, -124.214005, -121.465216, -118.689925, -115.888801, -113.062987, -110.213627, -107.341864, -104.448841, -101.535701, -98.6035876, -95.6536433, -92.6870115, -89.7048355, -86.7082584, -83.6984233, -80.6764734, -77.6435519, -74.6008019, -71.4609403, -68.1388072, -64.8179181, -61.5051485, -58.207374, -54.93147, -51.684312, -48.4727754, -45.3037357, -42.1840685, -39.120649, -36.120353, -33.1900557, -30.3366327, -27.5669595, -24.8879115, -22.3063641, -20.9133073, -20.1507564, -19.4476966, -18.7758218, -18.1068258, -17.4124027, -16.6642462, -15.8340502, -14.8935086, -13.8143153, -12.5681642, -11.1267491, -9.46176394, -7.54490256, -5.34785886, -2.84232671, 0, 13.6596563, 26.253459, 37.8352687, 48.4589461, 58.1783519, 67.0473468, 75.1197913, 82.4495463, 89.0904723, 95.09643, 100.52128, 105.418883, 109.8431, 113.847791, 117.486818, 120.81404, 121.712194, 119.924981, 120.417137, 122.777281, 126.594034, 131.456015, 136.951844, 142.670141, 148.199526, 153.128618, 157.046038, 159.540405, 160.200339, 156.287741, 150.571081, 143.336992, 134.87211, 129.067738, 124.408177, 118.416484, 110.297893, 99.2576403, 84.5009599, 65.2330868, 38.1840813, 5.78766701, -32.2666477, -76.2893548, -126.590946, -182.607669, -245.74282, -316.525453, -395.484619, -483.149373, -578.192015, -685.267712, -806.894855, -944.923831, -1099.84119, -1272.7458, -1464.73656, -1679.57943, -1915.10006, -2166.21454, -2428.73314, -2705.94322, -3000.241, -3312.3995, -3640.44128, -3983.65139, -4343.97963, -4721.4019, -5106.12348, -5493.87645, -5879.03278, -6258.89396, -6629.66289, -6987.54248, -7328.73564, -7555.03459, -7780.65561, -8025.40427, -8309.08618, -8651.5069, -9131.35876, -9670.30279, -10262.9074, -10934.2939, -11666.937, -12430.5806, -13208.3358, -13983.3138, -14738.6255, -15457.3819, -15512.6556, -16157.7395, -17020.6206, -17729.2859, -17911.7225, -17195.9175, -15209.8577, -13387.7722, -12242.6913},
2013  {-290.875875, -281.587819, -272.81843, -264.550313, -256.766074, -249.448319, -242.579655, -236.142687, -230.12002, -224.494261, -219.248016, -214.363891, -209.824492, -205.612423, -201.710292, -198.100705, -194.766266, -191.689583, -188.853261, -186.239906, -183.832123, -181.612519, -179.5637, -177.668272, -175.90884, -174.26801, -172.728389, -171.272581, -169.883194, -168.542833, -167.234104, -165.939613, -164.641965, -163.323767, -161.399319, -159.147332, -156.853351, -154.518423, -152.143597, -149.729922, -147.278447, -144.790219, -142.266287, -139.7077, -137.115507, -134.490755, -131.834494, -129.147772, -126.431638, -123.687139, -120.915325, -118.105368, -115.27045, -112.411878, -109.530956, -106.628992, -103.70729, -100.767158, -97.8099001, -94.8368236, -91.849234, -88.8484375, -85.8357398, -82.8124471, -79.7798652, -76.7393003, -73.6920582, -70.5576033, -67.2573647, -63.9614409, -60.6764434, -57.4089835, -54.1656727, -50.9531225, -47.7779444, -44.6467497, -41.5661499, -38.5427565, -35.5831809, -32.6940346, -29.881929, -27.1534755, -24.5152857, -21.973971, -20.6002559, -19.8463131, -19.1515255, -18.4879721, -17.8277317, -17.1428834, -16.405506, -15.5876786, -14.6614799, -13.598989, -12.3722848, -10.9534462, -9.31455209, -7.42768151, -5.26491335, -2.79832653, 0, 13.8789418, 26.6290568, 38.3084928, 48.9753979, 58.6879203, 67.5042078, 75.4824086, 82.6806707, 89.1571421, 94.9699708, 100.177305, 104.837293, 109.008082, 112.74782, 116.114656, 119.166738, 119.433291, 116.611189, 116.478762, 118.552244, 122.347872, 127.381883, 133.170512, 139.229996, 145.076571, 150.226473, 154.195938, 156.501203, 156.658503, 151.337355, 143.944513, 134.850227, 124.424752, 116.921137, 110.768236, 103.359488, 93.9003053, 81.5961005, 65.6522861, 45.2742744, 17.3301282, -15.9260231, -54.8314596, -99.7234613, -150.939308, -208.401844, -272.966394, -345.073848, -425.165094, -513.681021, -608.840986, -716.022617, -838.019274, -976.849696, -1132.9511, -1307.47079, -1501.55605, -1719.68474, -1958.91663, -2212.67814, -2475.39917, -2751.20229, -3041.96404, -3348.64676, -3670.66376, -4008.13936, -4365.00831, -4742.38283, -5127.40365, -5515.11458, -5896.18265, -6270.70177, -6635.2308, -6986.32857, -7320.55391, -7542.70326, -7764.03846, -8004.05895, -8282.26418, -8618.15357, -9090.00725, -9619.35686, -10200.5101, -10859.2858, -11577.5185, -12323.9133, -13080.9611, -13831.1531, -14556.9803, -15240.9338, -15529.6404, -16188.2484, -16920.3879, -17429.6894, -17419.7833, -16594.2999, -14656.8696, -12770.2539, -11749.8193},
2014  {-296.320558, -286.612141, -277.44513, -268.801454, -260.663047, -253.011838, -245.829759, -239.098741, -232.800714, -226.91761, -221.43136, -216.323895, -211.577146, -207.173044, -203.093519, -199.320503, -195.835928, -192.621723, -189.659821, -186.932151, -184.420646, -182.107235, -179.973851, -178.002424, -176.174885, -174.473165, -172.879196, -171.374908, -169.942232, -168.563099, -167.219441, -165.893188, -164.566272, -163.220622, -161.245808, -158.932401, -156.578094, -154.18404, -151.751394, -149.281311, -146.774945, -144.23345, -141.657981, -139.049691, -136.409736, -133.73927, -131.039446, -128.311421, -125.556347, -122.775379, -119.969671, -117.134286, -114.276601, -111.397905, -108.499482, -105.582621, -102.648607, -99.6987259, -96.7342653, -93.7565112, -90.7667501, -87.7662685, -84.7563528, -81.7382895, -78.713365, -75.6828658, -72.6480783, -69.5306512, -66.254145, -62.9840934, -59.7269455, -56.4891502, -53.2771566, -50.0974139, -46.9563709, -43.8604769, -40.8161808, -37.8299317, -34.9081787, -32.0573708, -29.283957, -26.5943865, -23.9951082, -21.4925713, -20.1384565, -19.394612, -18.7103229, -18.0581187, -17.4105286, -16.7400818, -16.0193076, -15.2207353, -14.3168942, -13.2803135, -12.0835225, -10.6990505, -9.09942681, -7.25718062, -5.14484124, -2.73493794, 0, 14.2004791, 27.1852282, 39.0179267, 49.7622542, 59.4818901, 68.2405141, 76.1018056, 83.1294441, 89.3871091, 94.9384801, 99.8472367, 104.177058, 107.991625, 111.354615, 114.329709, 116.980586, 116.749698, 113.326265, 112.702932, 114.381685, 117.864514, 122.653407, 128.250351, 134.157334, 139.876345, 144.909372, 148.758402, 150.925424, 150.912426, 145.46553, 137.853074, 128.403805, 117.446471, 108.941618, 101.402093, 92.3722669, 81.0913477, 66.7985437, 48.7330632, 26.1341147, -4.38324174, -40.1569958, -81.4345188, -128.463182, -181.490357, -238.986037, -303.419316, -375.48191, -455.865535, -545.261907, -642.802119, -752.645939, -877.540851, -1019.3318, -1178.02107, -1354.43824, -1549.41293, -1766.29532, -2002.82156, -2253.97801, -2515.32736, -2790.34341, -3081.26689, -3388.93769, -3711.82211, -4049.47594, -4404.45068, -4777.07879, -5156.70862, -5538.90177, -5918.39143, -6291.69503, -6654.6609, -7003.13741, -7332.97287, -7543.83733, -7751.80202, -7976.75986, -8238.60376, -8557.22666, -9010.9432, -9522.27674, -10086.0823, -10735.4866, -11450.1954, -12193.968, -12947.3077, -13690.7176, -14404.7007, -15069.7604, -15712.4641, -16421.0343, -16999.1583, -17250.5234, -16978.8166, -15987.7253, -14080.9367, -12295.5646, -11299.3173},
2015  {-302.119652, -291.985791, -282.415583, -273.390304, -264.891233, -256.899648, -249.396828, -242.36405, -235.782592, -229.633731, -223.898748, -218.558918, -213.59552, -208.989833, -204.723133, -200.7767, -197.131811, -193.769745, -190.671778, -187.81919, -185.193258, -182.77526, -180.546474, -178.488179, -176.581652, -174.808171, -173.149014, -171.585459, -170.098785, -168.670269, -167.281189, -165.912824, -164.546451, -163.163348, -161.128689, -158.744763, -156.321265, -153.859466, -151.360637, -148.826051, -146.256979, -143.654694, -141.020466, -138.355568, -135.661271, -132.938848, -130.189569, -127.414707, -124.615534, -121.793321, -118.94934, -116.085878, -113.203169, -110.302464, -107.385012, -104.452063, -101.504866, -98.5446717, -95.5727295, -92.5902892, -89.5986006, -86.5989134, -83.5924774, -80.5805424, -77.564358, -74.5451741, -71.5242405, -68.4251535, -65.1733741, -61.9303062, -58.7022334, -55.4954395, -52.3162082, -49.1708232, -46.0655682, -43.0067268, -40.0005829, -37.0534202, -34.1715222, -31.3611728, -28.6286557, -25.9802545, -23.422253, -20.9609349, -19.6265452, -18.8918493, -18.2173054, -17.5759677, -16.9408903, -16.2851276, -15.5817336, -14.8037626, -13.9242688, -12.9163063, -11.7529294, -10.4071923, -8.85214913, -7.06085412, -5.00636147, -2.66172536, 0, 14.3961857, 27.5102999, 39.4099838, 50.1628788, 59.836626, 68.4988667, 76.2172421, 83.0593936, 89.0929623, 94.3855895, 99.0049164, 103.018584, 106.494235, 109.499508, 112.102047, 114.369491, 113.733893, 109.886381, 108.856049, 110.145769, 113.258414, 117.696854, 122.963963, 128.562612, 133.995674, 138.76602, 142.376522, 144.330052, 144.129483, 138.741833, 131.13564, 121.574533, 110.322139, 100.901184, 91.9457472, 81.2208151, 68.0122866, 51.6060604, 31.2880353, 6.34410998, -26.7729735, -65.0818945, -108.742441, -157.914401, -212.757562, -270.238386, -334.508318, -406.52548, -487.24799, -577.633969, -677.825869, -790.594403, -918.579717, -1063.41018, -1224.64846, -1402.78466, -1598.30892, -1813.26878, -2046.24297, -2294.1112, -2553.8394, -2828.12973, -3119.78866, -3429.51778, -3754.45218, -4093.36404, -4446.91588, -4814.36998, -5188.05731, -5564.2296, -5942.60401, -6315.43366, -6677.77067, -7024.66717, -7351.17529, -7551.96691, -7747.56947, -7958.13016, -8203.79617, -8504.71471, -8938.07229, -9428.95054, -9973.05122, -10612.0501, -11323.451, -12065.6017, -12816.9636, -13555.9983, -14261.1672, -14910.9319, -15926.8242, -16693.8547, -17119.3303, -17110.5575, -16574.843, -15419.4936, -13551.8159, -11890.8976, -10899.5913},
2016  {-308.313295, -297.761209, -287.793198, -278.389958, -269.532189, -261.200588, -253.375854, -246.038684, -239.169777, -232.74983, -226.759543, -221.179613, -215.990738, -211.173616, -206.708945, -202.577425, -198.759752, -195.236624, -191.988741, -188.9968, -186.241499, -183.703536, -181.36361, -179.202419, -177.20066, -175.339032, -173.598232, -171.95896, -170.401914, -168.90779, -167.457288, -166.031106, -164.609941, -163.174492, -161.068406, -158.604306, -156.102473, -153.564277, -150.99109, -148.384285, -145.745232, -143.075304, -140.375871, -137.648307, -134.893981, -132.114267, -129.310535, -126.484157, -123.636506, -120.768951, -117.882867, -114.986694, -112.074581, -109.147745, -106.207405, -103.25478, -100.291087, -97.317545, -94.3353726, -91.3457879, -88.3500093, -85.3492552, -82.3447439, -79.3376937, -76.3293231, -73.3208504, -70.313494, -67.2332576, -64.0079511, -60.793917, -57.5972495, -54.424043, -51.2803915, -48.1723893, -45.1061306, -42.0877097, -39.1232206, -36.2187576, -33.380415, -30.614287, -27.9264677, -25.3230513, -22.8101321, -20.3938043, -19.0794072, -18.3523946, -17.6862104, -17.0545212, -16.4309939, -15.7892952, -15.1030919, -14.3460509, -13.4918388, -12.5141225, -11.3865688, -10.0828444, -8.57661614, -6.84155079, -4.85131512, -2.57957593, 0, 14.4053528, 27.4946762, 39.3371597, 50.0019924, 59.5583639, 68.0754634, 75.6224803, 82.2686039, 88.0830237, 93.134929, 97.4935091, 101.227953, 104.407451, 107.101192, 109.378365, 111.308159, 110.376193, 106.282574, 104.940285, 105.864891, 108.571961, 112.57706, 117.395756, 122.543616, 127.536206, 131.889094, 135.117846, 136.73803, 136.265211, 130.972765, 123.440588, 113.856904, 102.409939, 92.1155612, 81.7481729, 69.3281385, 54.1953893, 35.6898567, 13.1514721, -14.079833, -49.5684191, -90.1861481, -136.024858, -187.176385, -243.732568, -301.383168, -365.722618, -437.943274, -519.237494, -610.797635, -713.700341, -829.395107, -960.386485, -1108.0812, -1271.64459, -1451.24831, -1647.06405, -1859.8631, -2089.08122, -2333.50005, -2591.49043, -2865.02709, -3157.61446, -3469.83726, -3797.33289, -4138.00962, -4490.46783, -4852.79523, -5220.54195, -5590.69353, -5967.93856, -6340.37444, -6702.32027, -7048.09513, -7372.01813, -7565.20794, -7750.98418, -7949.46605, -8180.77275, -8465.02348, -8876.7902, -9345.43751, -9867.7477, -10494.305, -11200.595, -11939.6862, -12688.1849, -13422.6979, -14119.8316, -14756.1927, -16127.2945, -16953.1277, -17238.5545, -16988.4375, -16207.6389, -14901.0214, -13073.4472, -11540.1998, -10545.0803},
2017  {-314.941622, -303.990833, -293.641384, -283.873516, -274.667472, -266.003496, -257.861829, -250.222714, -243.066395, -236.373113, -230.123112, -224.296634, -218.873922, -213.835218, -209.160765, -204.830805, -200.825582, -197.125339, -193.710317, -190.560759, -187.656908, -184.979007, -182.507299, -180.222025, -178.103429, -176.131754, -174.287242, -172.550135, -170.900677, -169.319109, -167.785676, -166.280619, -164.784181, -163.276604, -161.085405, -158.530918, -155.941325, -153.31805, -150.662519, -147.976155, -145.260385, -142.516633, -139.746324, -136.950883, -134.131734, -131.290303, -128.428015, -125.546295, -122.646566, -119.730256, -116.798787, -113.863284, -110.915262, -107.955937, -104.986523, -102.008235, -99.0222876, -96.0298959, -93.0322742, -90.0306373, -87.0262, -84.0201768, -81.0137825, -78.0082318, -75.0047394, -72.00452, -69.0087882, -65.9471108, -62.7507748, -59.5687634, -56.406936, -53.2711519, -50.1672705, -47.101151, -44.0786529, -41.1056355, -38.1879581, -35.33148, -32.5420607, -29.8255595, -27.1878356, -24.6347485, -22.1721574, -19.8059218, -18.5119275, -17.7906174, -17.1307754, -16.5067816, -15.8930161, -15.263859, -14.5936904, -13.8568905, -13.0278394, -12.0809171, -10.9905039, -9.73097978, -8.2767249, -6.60211936, -4.68154329, -2.48937679, 0, 14.1672716, 27.0287614, 38.6519495, 49.1043156, 58.4533398, 66.7665019, 74.111282, 80.5551598, 86.1656154, 91.0101287, 95.1561796, 98.671248, 101.622814, 104.078357, 106.105358, 107.771296, 106.666917, 102.505884, 100.95781, 101.559447, 103.847546, 107.358859, 111.630137, 116.198131, 120.599592, 124.371273, 127.049925, 128.172298, 127.275144, 121.964824, 114.41629, 104.745411, 93.068055, 81.9004737, 70.1583444, 56.1172428, 39.1729228, 18.7211384, -5.8423564, -35.1218076, -72.4989307, -114.955185, -162.5514, -215.348402, -273.40702, -331.64466, -396.551428, -469.474007, -551.759081, -644.753333, -750.21364, -868.575147, -1002.21176, -1152.34123, -1317.82079, -1498.56749, -1694.49839, -1905.33627, -2131.23662, -2372.56688, -2628.83563, -2901.50132, -3194.82942, -3509.34638, -3839.24312, -4181.61864, -4533.17042, -4890.89338, -5253.25478, -5617.88906, -5993.51324, -6364.97413, -6726.06986, -7070.59855, -7392.35836, -7581.67639, -7761.68955, -7952.06374, -8172.46483, -8442.55872, -8832.49265, -9277.79692, -9776.50257, -10387.5795, -11084.937, -11817.0934, -12559.2277, -13286.5188, -13974.1457, -14597.2873, -16268.449, -17145.2712, -17314.4818, -16862.809, -15876.9808, -14443.7254, -12649.7709, -11227.418, -10230.223},
2018  {-322.044773, -310.727104, -300.02355, -289.914074, -280.378639, -271.397209, -262.949745, -255.016212, -247.576571, -240.610786, -234.09882, -228.020636, -222.356196, -217.085463, -212.1884, -207.644971, -203.435138, -199.538864, -195.936112, -192.606844, -189.531024, -186.688615, -184.05958, -181.623881, -179.361481, -177.252344, -175.276431, -173.413707, -171.644134, -169.947674, -168.304292, -166.693949, -165.096608, -163.492233, -161.200131, -158.544487, -155.85743, -153.140363, -150.394687, -147.621806, -144.823121, -142.000036, -139.153952, -136.286272, -133.398399, -130.491735, -127.567683, -124.627644, -121.673022, -118.705219, -115.725638, -112.742196, -109.749639, -106.749228, -103.742225, -100.729891, -97.7134871, -94.6942744, -91.6735142, -88.6524678, -85.6323965, -82.6145613, -79.6002237, -76.5906447, -73.5870857, -70.5908079, -67.6030724, -64.5588605, -61.3947444, -58.2486833, -55.1262351, -52.0329578, -48.9744091, -45.9561471, -42.9837295, -40.0627145, -37.1986597, -34.3971232, -31.6636628, -29.0038365, -26.4232021, -23.9273176, -21.5217409, -19.2120298, -17.9389914, -17.2208872, -16.564738, -15.9457512, -15.3391338, -14.7200933, -14.063837, -13.345572, -12.5405056, -11.6238452, -10.5707981, -9.35657138, -7.95637247, -6.34540859, -4.49888704, -2.39201508, 0, 13.6212333, 26.0029598, 37.2068487, 47.294569, 56.3277898, 64.3681802, 71.4774092, 77.7171459, 83.1490594, 87.8348187, 91.8360929, 95.2145511, 98.0318624, 100.349696, 102.22972, 103.733605, 102.596384, 98.547348, 96.9107961, 97.2498323, 99.1275606, 102.107086, 105.751511, 109.623942, 113.287482, 116.305235, 118.240306, 118.655799, 117.114819, 111.524511, 103.711123, 93.7345455, 81.6546702, 69.5716461, 56.525236, 41.011134, 22.4771544, 0.371111502, -25.8591805, -56.7659073, -95.2938601, -138.874435, -187.591699, -241.529719, -300.772563, -360.24714, -426.483964, -500.856392, -584.737783, -679.501492, -787.153872, -907.661623, -1043.30616, -1195.18663, -1361.98837, -1543.48046, -1739.43198, -1948.9463, -2172.60953, -2411.73404, -2666.43013, -2938.01825, -3231.51865, -3547.49538, -3878.96177, -4222.39704, -4573.08755, -4927.20327, -5285.28806, -5645.41166, -6018.44623, -6387.68949, -6746.77961, -7089.35471, -7409.05295, -7599.48822, -7779.32898, -7967.21942, -8181.80376, -8441.7262, -8810.57531, -9232.08802, -9705.64668, -10297.202, -10979.7864, -11698.6954, -12428.348, -13143.1636, -13817.5613, -14425.9602, -16304.8615, -17216.7032, -17304.7628, -16712.3177, -15582.6451, -14059.0225, -12284.7272, -10936.4993, -9949.45818},
2019  {-329.973393, -318.249723, -307.154904, -296.668566, -286.770335, -277.439841, -268.656712, -260.400577, -252.651063, -245.387799, -238.590413, -232.238535, -226.311791, -220.789811, -215.652223, -210.878655, -206.448736, -202.342093, -198.538356, -195.017153, -191.758112, -188.740861, -185.945029, -183.350244, -180.936134, -178.682329, -176.568456, -174.574143, -172.679019, -170.862713, -169.104852, -167.385065, -165.682981, -163.978228, -161.582178, -158.822644, -156.03547, -153.22197, -150.383458, -147.521249, -144.636658, -141.730999, -138.805587, -135.861737, -132.900762, -129.923977, -126.932697, -123.928237, -120.91191, -117.885032, -114.848917, -111.798193, -108.741006, -105.678816, -102.613081, -99.5452621, -96.4768181, -93.4092086, -90.3438931, -87.282331, -84.2259819, -81.1763052, -78.1347605, -75.1028071, -72.0819047, -69.0735126, -66.0790905, -63.0434589, -59.9127985, -56.805382, -53.7263405, -50.6808052, -47.6739073, -44.7107779, -41.7965481, -38.9363491, -36.1353121, -33.3985681, -30.7312485, -28.1384842, -25.6254065, -23.1971465, -20.8588353, -18.6156041, -17.3620411, -16.6398404, -15.9800055, -15.358803, -14.7524994, -14.1373612, -13.4896552, -12.7856477, -12.0016054, -11.1137948, -10.0984825, -8.93193501, -7.59041896, -6.05020087, -4.28754731, -2.27872483, 0, 12.3153527, 23.5943358, 33.8831732, 43.2280884, 51.6753054, 59.2710478, 66.0615393, 72.0930037, 77.4116647, 82.063746, 86.0954714, 89.5530646, 92.4827493, 94.9307493, 96.9432883, 98.56659, 97.6672392, 93.9800827, 92.4814799, 92.750589, 94.3665684, 96.9085762, 99.9557706, 103.08731, 105.882353, 107.920057, 108.77958, 108.040082, 105.280719, 98.3950901, 89.2659526, 77.9781334, 64.6164592, 51.2902662, 37.0721262, 20.4947417, 1.03558618, -21.8278665, -48.6181428, -79.8577691, -117.357185, -159.959029, -207.933846, -261.552179, -321.084571, -383.976111, -454.02916, -532.220626, -619.527415, -716.926433, -825.165002, -945.73022, -1081.09468, -1232.53753, -1398.90129, -1580.12248, -1776.1376, -1986.88986, -2212.30756, -2452.31176, -2705.46751, -2974.62726, -3265.9199, -3580.41185, -3910.59143, -4252.88446, -4602.68243, -4956.14299, -5313.21636, -5671.70746, -6038.66708, -6401.23185, -6754.00624, -7091.59468, -7408.60163, -7614.12387, -7809.65042, -8011.16264, -8234.6419, -8496.06954, -8846.49952, -9243.45889, -9687.8979, -10248.6282, -10899.7382, -11587.0408, -12286.0382, -12972.2328, -13621.1266, -14208.2221, -16058.3898, -16967.0902, -17065.8148, -16486.0547, -15359.3011, -13817.0454, -11990.7787, -10593.8263, -9693.17224},
2020  {-338.221334, -326.211299, -314.831791, -304.062595, -293.883498, -284.274286, -275.214745, -266.684661, -258.663819, -251.132006, -244.069009, -237.454612, -231.268602, -225.490765, -220.100888, -215.078755, -210.404154, -206.05687, -202.016689, -198.263397, -194.77678, -191.536625, -188.522717, -185.714843, -183.092788, -180.636338, -178.32528, -176.139399, -174.058482, -172.062315, -170.130683, -168.243372, -166.38017, -164.520861, -161.989591, -159.107756, -156.204635, -153.281289, -150.338783, -147.378178, -144.400538, -141.406925, -138.398402, -135.376033, -132.340879, -129.294004, -126.236471, -123.169342, -120.093681, -117.01055, -113.921012, -110.797069, -107.669475, -104.539923, -101.410105, -98.2817143, -95.1564433, -92.0359851, -88.9220323, -85.8162779, -82.7204147, -79.6361354, -76.5651328, -73.5090999, -70.4697293, -67.4487139, -64.4477466, -61.423305, -58.3329528, -55.2716352, -52.243976, -49.2545992, -46.3081288, -43.4091885, -40.5624024, -37.7723944, -35.0437883, -32.381208, -29.7892776, -27.2726208, -24.8358616, -22.483624, -20.2205318, -18.0512089, -16.8196122, -16.0930449, -15.428722, -14.8040296, -14.1963535, -13.5830797, -12.9415942, -12.2492828, -11.4835316, -10.6217265, -9.64125336, -8.51949821, -7.23384697, -5.76168558, -4.08039999, -2.16737615, 0, 10.8771282, 20.948292, 30.2420411, 38.7869252, 46.6114943, 53.7442979, 60.213886, 66.0488081, 71.2776143, 75.9288541, 80.0310773, 83.6128338, 86.7026733, 89.3291455, 91.5208003, 93.3061873, 92.7277753, 89.5303882, 88.234902, 88.4442777, 89.7614762, 91.7894584, 94.1311854, 96.3896181, 98.1677175, 99.0684446, 98.6947603, 96.6496255, 92.5360013, 84.2536397, 73.7332206, 61.0886674, 46.4339038, 31.9219221, 16.6471116, -0.83989005, -21.0368799, -44.441655, -71.5520122, -102.865749, -138.990697, -180.28113, -227.213314, -280.263519, -339.908013, -406.34645, -480.400865, -562.616681, -653.539318, -753.714198, -862.529397, -983.102216, -1118.03978, -1268.80242, -1434.50911, -1615.33005, -1811.43544, -2023.81078, -2251.62568, -2493.16028, -2745.37973, -3012.52689, -3301.36844, -3613.39165, -3941.13816, -4281.25579, -4629.87244, -4983.50113, -5340.56131, -5698.39403, -6058.90375, -6414.16608, -6759.94247, -7091.99435, -7406.08316, -7628.33606, -7841.55733, -8058.91698, -8293.58501, -8558.73143, -8892.76568, -9266.79204, -9683.16361, -10211.7762, -10828.2473, -11480.0515, -12144.2135, -12797.7577, -13417.7089, -13981.0915, -15717.0985, -16601.0345, -16733.3916, -16214.6619, -15145.3373, -13625.91, -11756.8718, -10284.6203, -9462.93352},
2021  {-346.578053, -334.484553, -323.002197, -312.111716, -301.793837, -292.02929, -282.798804, -274.083108, -265.86293, -258.119, -250.832047, -243.982799, -237.551986, -231.520337, -225.86858, -220.577445, -215.62766, -210.999955, -206.675059, -202.6337, -198.856607, -195.324511, -192.018138, -188.918219, -186.005483, -183.260657, -180.664473, -178.197657, -175.84094, -173.575051, -171.380717, -169.238669, -167.129636, -165.034345, -162.321761, -159.291363, -156.249983, -153.198204, -150.136607, -147.065775, -143.986288, -140.898731, -137.803683, -134.701728, -131.593448, -128.479423, -125.360236, -122.23647, -119.108706, -115.977526, -112.843512, -109.645497, -106.447151, -103.250394, -100.057146, -96.8693291, -93.6888627, -90.5176676, -87.3576644, -84.2107737, -81.0789159, -77.9640116, -74.8679815, -71.792746, -68.7402258, -65.7123412, -62.711013, -59.7054402, -56.6656074, -53.6609209, -50.6954224, -47.7731536, -44.8981563, -42.0744723, -39.3061434, -36.5972112, -33.9517176, -31.3737043, -28.867213, -26.4362855, -24.0849636, -21.8172891, -19.6373036, -17.5490489, -16.3438273, -15.6154912, -14.948431, -14.3211404, -13.712113, -13.0998425, -12.4628224, -11.7795465, -11.0285083, -10.1882016, -9.23711987, -8.15375688, -6.91660624, -5.50416159, -3.89491657, -2.06736483, 0, 9.56479469, 18.5371489, 26.9286502, 34.7508859, 42.0154434, 48.7339102, 54.9178737, 60.5789213, 65.7286405, 70.3786187, 74.5404433, 78.2257017, 81.4459814, 84.2128698, 86.5379543, 88.4328224, 88.1821405, 85.5507932, 84.4564983, 84.540789, 85.4451981, 86.8112587, 88.2805035, 89.4944657, 90.0946781, 89.7226736, 88.0199853, 84.6281461, 79.1886889, 69.7531933, 58.1361286, 44.4560136, 28.8313674, 13.3519364, -2.84937421, -21.1653198, -42.0687496, -66.0325128, -93.5294588, -125.032437, -160.137362, -200.460911, -246.647506, -299.341571, -359.18753, -428.474456, -505.790959, -591.370299, -685.445738, -788.250536, -898.273452, -1019.62442, -1154.84226, -1305.4502, -1470.8979, -1651.56598, -1847.83509, -2061.47089, -2291.15422, -2534.05503, -2786.30485, -3052.64092, -3339.55568, -3648.63968, -3973.17764, -4310.26678, -4657.20548, -5011.14311, -5368.49155, -5726.07984, -6080.92778, -6429.64432, -6768.99245, -7095.7352, -7406.63557, -7642.20155, -7869.51492, -8099.40247, -8342.69094, -8610.2071, -8930.18278, -9284.43632, -9676.33518, -10175.6429, -10759.4451, -11377.1626, -12007.2641, -12628.2188, -13218.4954, -13756.5629, -15338.647, -16177.9969, -16341.6662, -15896.7085, -14910.1773, -13449.1261, -11580.6085, -10039.9739, -9255.77765},
2022  {-354.681743, -342.941921, -331.749773, -321.08861, -310.941738, -301.292466, -292.124102, -283.419954, -275.163332, -267.337542, -259.925894, -252.911696, -246.278255, -240.008881, -234.086881, -228.495564, -223.218238, -218.238211, -213.538792, -209.103289, -204.91501, -200.957263, -197.213358, -193.666601, -190.300301, -187.097767, -184.042307, -181.117229, -178.305841, -175.591452, -172.95737, -170.386904, -167.86336, -165.370049, -162.38665, -159.158879, -155.938504, -152.725177, -149.51855, -146.318275, -143.124004, -139.935389, -136.752082, -133.573734, -130.399999, -127.230527, -124.064971, -120.902983, -117.744215, -114.588318, -111.434945, -108.171497, -104.91231, -101.659469, -98.4150601, -95.1811678, -91.9598777, -88.7532751, -85.5634454, -82.3924738, -79.2424458, -76.1154465, -73.0135614, -69.9388757, -66.8934749, -63.8794441, -60.8988688, -57.9350235, -54.9716344, -52.0495827, -49.172173, -46.3427101, -43.5644987, -40.8408437, -38.1750498, -35.5704216, -33.030264, -30.5578818, -28.1565796, -25.8296622, -23.5804343, -21.4122008, -19.3282663, -17.3319357, -16.1610158, -15.436111, -14.7689976, -14.1391443, -13.5260199, -12.9090931, -12.2678327, -11.5817073, -10.8301857, -9.99273674, -9.04882906, -7.97793144, -6.7595126, -5.3730413, -3.79798627, -2.01381626, 0, 8.91931416, 17.3575728, 25.3152923, 32.7929887, 39.7911784, 46.3103777, 52.3511028, 57.9138699, 62.9991953, 67.6075953, 71.7395861, 75.3956841, 78.5764053, 81.2822661, 83.5137828, 85.2714717, 85.2633989, 83.305445, 82.3215251, 82.0352019, 82.170038, 82.4495961, 82.597439, 82.3371292, 81.3922296, 79.4863028, 76.3429114, 71.6856182, 65.2379859, 55.7165431, 44.2211323, 30.7774266, 15.4110987, -0.326036484, -17.1713771, -36.2692921, -58.0519513, -82.9515241, -111.40018, -143.830089, -179.456356, -220.298626, -267.02719, -320.312339, -380.824364, -450.405218, -528.260614, -614.767929, -710.304537, -815.247816, -928.927206, -1054.04882, -1192.39675, -1345.12565, -1512.10518, -1693.78191, -1890.60246, -2104.07365, -2333.34088, -2576.39288, -2830.95921, -3099.67355, -3386.44891, -3692.10039, -4012.19399, -4344.70515, -4688.85318, -5042.93601, -5400.6906, -5758.43386, -6110.39043, -6455.29135, -6790.17776, -7112.09083, -7418.07168, -7652.17421, -7877.67363, -8104.85791, -8344.015, -8605.43285, -8915.68959, -9257.92292, -9635.43928, -10116.993, -10679.984, -11274.5425, -11879.432, -12473.416, -13035.258, -13543.7216, -14926.0254, -15669.2172, -15821.0937, -15429.4514, -14542.0867, -13206.7962, -11471.3765, -9938.78231, -9050.88091},
2023  {-362.793212, -351.588052, -340.848519, -330.561191, -320.712646, -311.289461, -302.278213, -293.66548, -285.437839, -277.581869, -270.084146, -262.931248, -256.109752, -249.606236, -243.407278, -237.499455, -231.869345, -226.503524, -221.388571, -216.511063, -211.857577, -207.414692, -203.168984, -199.107031, -195.215411, -191.4807, -187.889477, -184.42832, -181.083804, -177.842509, -174.691012, -171.615889, -168.603719, -165.641079, -162.346288, -158.897799, -155.47849, -152.08689, -148.721527, -145.380929, -142.063623, -138.76814, -135.493006, -132.23675, -128.9979, -125.774984, -122.56653, -119.371068, -116.187124, -113.013227, -109.847905, -106.519177, -103.199778, -99.8919305, -96.5978602, -93.3197915, -90.0599489, -86.8205569, -83.6038399, -80.4120226, -77.2473294, -74.1119849, -71.0082136, -67.93824, -64.9042885, -61.9085839, -58.9533504, -56.0356111, -53.1525136, -50.3170106, -47.5316637, -44.7990346, -42.1216852, -39.502177, -36.9430719, -34.4469315, -32.0163175, -29.6537918, -27.361916, -25.1432518, -23.0003609, -20.9358052, -18.9521462, -17.0519458, -15.9208271, -15.2054539, -14.5442799, -13.9177002, -13.30611, -12.6899041, -12.0494778, -11.365226, -10.6175438, -9.78682628, -8.85346853, -7.79786558, -6.60041249, -5.24150432, -3.70153615, -1.96090302, 0, 8.42728518, 16.4578245, 24.0828633, 31.2936465, 38.0814195, 44.4374274, 50.3529154, 55.8191287, 60.8273125, 65.3687119, 69.4345722, 73.0161384, 76.104656, 78.6913699, 80.7675253, 82.3243676, 82.4944641, 81.1463917, 80.2136429, 79.5034605, 78.8230874, 77.9797664, 76.7807402, 75.0332516, 72.5445436, 69.1218588, 64.5724402, 58.7035304, 51.3223724, 41.8545226, 30.6288617, 17.5671386, 2.59110186, -13.3110931, -30.750901, -50.6241514, -73.3290177, -99.263673, -128.826291, -162.415044, -199.179478, -241.146411, -288.958314, -343.257657, -404.686911, -473.911946, -551.545982, -638.225639, -734.587537, -841.268296, -958.8283, -1088.07358, -1229.97472, -1385.25063, -1554.10635, -1736.97766, -1934.30032, -2146.90015, -2374.73422, -2617.33406, -2874.87537, -3147.01391, -3434.42173, -3736.84267, -4052.4479, -4380.13046, -4720.99289, -5074.50107, -5432.01946, -5789.49515, -6139.73443, -6482.30839, -6814.2513, -7132.59744, -7434.38112, -7663.79716, -7883.92916, -8105.02124, -8337.31755, -8591.06224, -8893.53159, -9226.58284, -9593.16061, -10060.059, -10604.949, -11178.8975, -11760.9056, -12329.9744, -12865.1049, -13345.2984, -14565.6474, -15219.5313, -15347.4354, -14989.8454, -14187.2466, -12980.1247, -11408.9651, -9886.62934, -8877.39399},
2024  {-370.95284, -360.380787, -350.182062, -340.346889, -330.865496, -321.728109, -312.924956, -304.446262, -296.282253, -288.423158, -280.859202, -273.580612, -266.577615, -259.840436, -253.359304, -247.124444, -241.126083, -235.354447, -229.799764, -224.452259, -219.302161, -214.339694, -209.555086, -204.938563, -200.480352, -196.170679, -191.999772, -187.957856, -184.035159, -180.221906, -176.508326, -172.884643, -169.341085, -165.867879, -162.237353, -158.553268, -154.921998, -151.340843, -147.8071, -144.318067, -140.871042, -137.463322, -134.092205, -130.754989, -127.448972, -124.171451, -120.919724, -117.69109, -114.482845, -111.292288, -108.116716, -104.720741, -101.339391, -97.9750073, -94.6299332, -91.3065101, -88.00708, -84.7339849, -81.4895668, -78.2761676, -75.0961293, -71.9517939, -68.8455034, -65.7795997, -62.7564248, -59.7783206, -56.8476293, -53.9738111, -51.1661557, -48.4123236, -45.7141955, -43.0736518, -40.492573, -37.9728396, -35.5163322, -33.1249312, -30.8005172, -28.5449706, -26.3601721, -24.2480021, -22.210341, -20.2490695, -18.366068, -16.5632171, -15.4770767, -14.7788381, -14.1320639, -13.5180381, -12.9180446, -12.3133674, -11.6852904, -11.0150976, -10.2840729, -9.47350029, -8.56466363, -7.53884689, -6.37733402, -5.06140895, -3.57235563, -1.891458, 0, 7.94859018, 15.5759729, 22.8651133, 29.7989768, 36.3605286, 42.5327341, 48.2985584, 53.6409669, 58.5429249, 62.9873976, 66.9573503, 70.4357483, 73.4055569, 75.8497414, 77.7512669, 79.0930989, 79.3577437, 78.4566724, 77.5048406, 76.3779727, 74.9517925, 73.1020241, 70.7043917, 67.6346194, 63.7684312, 58.9815511, 53.1497034, 46.148612, 37.854001, 28.2716401, 17.0995245, 4.17436446, -10.6671295, -26.8663881, -44.9476302, -65.6275708, -89.2860572, -116.302937, -147.058056, -181.931264, -220.273685, -263.806977, -313.112259, -368.77065, -431.363269, -500.156033, -577.374062, -663.927275, -760.725593, -868.678933, -989.550195, -1122.35379, -1267.42232, -1425.09608, -1595.73111, -1779.67635, -1977.28078, -2188.39033, -2413.97132, -2655.53875, -2916.12921, -3192.05708, -3480.66041, -3780.49385, -4092.17355, -4415.3694, -4752.63224, -5104.37887, -5460.46262, -5816.71211, -6166.07885, -6507.71121, -6838.43373, -7155.07096, -7454.44743, -7679.39559, -7894.2301, -8109.27355, -8334.8485, -8581.27751, -8877.04443, -9202.20305, -9559.29253, -10012.2684, -10539.3592, -11093.2032, -11653.3087, -12199.1835, -12710.3358, -13166.2736, -14314.3918, -14912.3154, -15009.6051, -14655.8219, -13900.5265, -12793.2799, -11383.6428, -9850.4576, -8746.77478},
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2050  };
2051 
2052  const double a5tab[98][200] = {{1623.72041, 1605.90974, 1587.91237, 1569.73931, 1551.40152, 1532.91, 1514.27573, 1495.5097, 1476.62289, 1457.62629, 1438.53089, 1419.34766, 1400.0876, 1380.76169, 1361.38092, 1341.95627, 1322.49873, 1303.01928, 1283.52891, 1264.03861, 1244.55935, 1225.10213, 1205.67793, 1186.29774, 1166.97254, 1147.71332, 1128.53106, 1109.43676, 1090.44138, 1071.55593, 1052.79138, 1034.15873, 1015.66895, 997.333034, 979.683307, 962.459118, 945.393551, 928.480673, 911.714551, 895.089253, 878.598845, 862.237394, 845.998969, 829.877635, 813.867459, 797.96251, 782.156854, 766.444558, 750.81969, 735.276315, 719.808503, 704.235674, 688.730327, 673.290314, 657.913489, 642.597705, 627.340815, 612.140672, 596.995129, 581.902039, 566.859255, 551.864631, 536.916018, 522.011271, 507.148242, 492.324785, 477.538752, 462.727194, 447.828622, 432.966289, 418.14199, 403.35752, 388.614672, 373.915242, 359.261024, 344.653812, 330.095402, 315.587588, 301.132165, 286.730927, 272.385669, 258.098186, 243.870271, 229.703721, 215.852956, 202.188146, 188.576419, 175.011372, 161.486601, 147.995704, 134.532276, 121.089913, 107.662213, 94.2427704, 80.8251827, 67.403046, 53.9699567, 40.5195111, 27.0453055, 13.5409364, 0, -15.1469622, -29.9245654, -44.3840485, -58.5766505, -72.5536103, -86.3661666, -100.065559, -113.703025, -127.329805, -140.997137, -154.75626, -168.658413, -182.754835, -197.096765, -211.735442, -226.722104, -242.134493, -258.027633, -274.392818, -291.286967, -308.766998, -326.889827, -345.712374, -365.291555, -385.684289, -406.947494, -429.138087, -452.312986, -476.52911, -501.70482, -528.086393, -555.772315, -584.861071, -615.101786, -646.767625, -680.224913, -715.676944, -753.327009, -793.378402, -836.034413, -880.922158, -928.996465, -980.573357, -1035.96886, -1095.49899, -1156.62173, -1223.22565, -1296.3413, -1376.9992, -1466.22988, -1567.23867, -1676.22324, -1789.51716, -1906.34031, -2031.8055, -2168.37975, -2318.53006, -2486.4335, -2672.45837, -2875.10747, -3093.43215, -3331.35564, -3590.05281, -3872.00567, -4181.91112, -4523.44937, -4899.57496, -5313.77999, -5772.21732, -6279.53474, -6829.87618, -7440.00924, -8118.21763, -8872.7851, -9711.99536, -11017.3826, -12330.6674, -13566.821, -14640.8145, -15467.619, -15725.7937, -15724.3294, -15479.5168, -14935.8768, -14138.1085, -13160.8153, -12047.2012, -10840.4702, -9583.82634, -8320.47376, -7104.01992, -6014.93509, -5043.55193, -4180.20311, -3415.22129, -2738.93915, -2141.68936, -1611.62709, -1138.33122},
2053  {1520.58131, 1504.40784, 1487.98749, 1471.33453, 1454.46324, 1437.38789, 1420.12276, 1402.68212, 1385.08023, 1367.33138, 1349.44983, 1331.44987, 1313.34576, 1295.15177, 1276.88219, 1258.55127, 1240.1733, 1221.76255, 1203.33329, 1184.8998, 1166.47634, 1148.07719, 1129.71663, 1111.40892, 1093.16835, 1075.00918, 1056.94568, 1038.99213, 1021.16281, 1003.47198, 985.933919, 968.5629, 951.373196, 934.37908, 918.480071, 903.229199, 888.168854, 873.284582, 858.561927, 843.986435, 829.543651, 815.21912, 800.998387, 786.866998, 772.810497, 758.81443, 744.864341, 730.945777, 717.044282, 703.145401, 689.23468, 674.401031, 659.546069, 644.674777, 629.792136, 614.903129, 600.01274, 585.125949, 570.247739, 555.383094, 540.536994, 525.714423, 510.920363, 496.159796, 481.437705, 466.759072, 452.128879, 437.615746, 423.286764, 409.015669, 394.803318, 380.650569, 366.558278, 352.527303, 338.5585, 324.652727, 310.810841, 297.033698, 283.322157, 269.677073, 256.099305, 242.589709, 229.149142, 215.778461, 202.732087, 189.878762, 177.08418, 164.340969, 151.641759, 138.979177, 126.345853, 113.734413, 101.137488, 88.5477048, 75.9576926, 63.3600796, 50.7474944, 38.1125654, 25.447921, 12.7461897, 0, -14.6954389, -28.9918808, -42.940874, -56.5939665, -70.0027067, -83.2186427, -96.2933228, -109.278295, -122.225108, -135.185309, -148.210447, -161.352071, -174.661727, -188.190965, -201.991333, -216.114378, -230.568673, -245.399627, -260.755995, -276.680118, -293.214334, -310.400982, -328.282401, -346.900929, -366.298907, -386.518673, -407.602565, -429.592924, -452.532087, -476.177732, -500.961236, -527.010336, -554.45277, -583.482013, -614.192933, -646.66287, -680.999841, -717.31186, -755.706946, -796.293115, -837.772362, -882.086644, -929.619067, -980.75274, -1035.87077, -1094.64435, -1158.34648, -1227.53825, -1302.78073, -1384.63502, -1474.5035, -1571.07769, -1672.11545, -1777.36784, -1890.65534, -2013.97135, -2149.30926, -2299.87525, -2466.1743, -2647.38835, -2847.64345, -3060.20496, -3270.57293, -3476.48848, -3696.43455, -3939.37324, -4223.40519, -4559.86173, -4926.56629, -5320.29625, -5730.12631, -6161.7216, -6614.52583, -7087.98271, -7581.53596, -8079.00552, -8599.36482, -9145.96351, -9722.15124, -10331.2777, -11140.1695, -11879.7146, -12483.2011, -12547.82, -12139.8978, -11465.8015, -10584.8556, -9556.38464, -8439.71315, -7294.16565, -6292.48754, -5389.3908, -4578.68114, -3854.16429, -3209.64598, -2638.93193, -2135.82787, -1696.73586, -1332.38619},
2054  {1424.81636, 1408.58681, 1392.27309, 1375.88235, 1359.42178, 1342.89854, 1326.3198, 1309.69272, 1293.02448, 1276.32224, 1259.59317, 1242.84445, 1226.08323, 1209.31668, 1192.55198, 1175.79629, 1159.05679, 1142.34063, 1125.65499, 1109.00703, 1092.40393, 1075.85285, 1059.36096, 1042.93543, 1026.58342, 1010.31212, 994.128668, 978.040253, 962.054037, 946.177189, 930.416878, 914.78027, 899.274535, 883.906841, 869.241922, 854.996436, 840.880338, 826.882704, 812.992606, 799.19912, 785.491319, 771.858278, 758.28907, 744.772771, 731.298453, 717.855192, 704.432061, 691.018135, 677.602488, 664.174193, 650.722325, 636.419198, 622.088352, 607.736568, 593.370624, 578.997301, 564.623379, 550.255638, 535.900857, 521.565818, 507.257299, 492.98208, 478.746942, 464.558664, 450.424027, 436.34981, 422.342793, 408.5247, 395.014496, 381.581897, 368.226231, 354.946828, 341.743014, 328.61412, 315.559474, 302.578404, 289.670239, 276.834307, 264.069937, 251.376458, 238.753198, 226.199485, 213.714649, 201.298017, 189.185177, 177.252358, 165.372952, 153.538619, 141.741021, 129.97182, 118.222678, 106.485255, 94.7512139, 83.0122156, 71.2599218, 59.4859941, 47.6820939, 35.8398829, 23.9510225, 12.0071744, 0, -14.0474162, -27.7323223, -41.1021669, -54.2043988, -67.0864666, -79.795819, -92.3799046, -104.886172, -117.36207, -129.855048, -142.412554, -155.082036, -167.910944, -180.946725, -194.23683, -207.828706, -221.740556, -236.015652, -250.767592, -266.037559, -281.866734, -298.296299, -315.367436, -333.121326, -351.599152, -370.842095, -390.891337, -411.788059, -433.573443, -455.932431, -479.393067, -504.103403, -530.211495, -558.066658, -587.716315, -619.154219, -652.468046, -687.745471, -725.074169, -764.541817, -805.259254, -848.588289, -894.807717, -944.196332, -997.032931, -1054.74602, -1116.17726, -1181.318, -1250.15963, -1322.6935, -1396.67705, -1477.06595, -1566.50144, -1666.59314, -1776.84444, -1897.70439, -2029.62203, -2174.70538, -2331.36747, -2496.21157, -2666.68672, -2843.98267, -3026.81563, -3215.30179, -3411.92952, -3618.09833, -3839.60307, -4078.98278, -4322.66024, -4566.1745, -4794.71968, -5015.77129, -5228.44931, -5431.87374, -5625.16456, -5630.74346, -5668.60331, -5782.03865, -6014.34406, -6408.81408, -7328.56382, -8283.85361, -9180.9121, -9535.14268, -9407.47562, -9021.68505, -8430.55905, -7686.8857, -6843.45308, -5953.0493, -5221.07624, -4513.83935, -3841.68862, -3214.97405, -2644.04564, -2139.25339, -1710.9473, -1314.44958, -974.411877},
2055  {1327.80903, 1311.14287, 1294.67866, 1278.40971, 1262.32934, 1246.43085, 1230.70754, 1215.15274, 1199.75973, 1184.52184, 1169.43237, 1154.48463, 1139.67192, 1124.98756, 1110.42485, 1095.9771, 1081.63762, 1067.39972, 1053.2567, 1039.20188, 1025.22855, 1011.33003, 997.499633, 983.730657, 970.016415, 956.350213, 942.72536, 929.135163, 915.572931, 902.031972, 888.505594, 874.987105, 861.469813, 847.947025, 834.103122, 820.092374, 806.072763, 792.047624, 778.020289, 763.994092, 749.972366, 735.958445, 721.955661, 707.967348, 693.99684, 680.04747, 666.122571, 652.225476, 638.359519, 624.528033, 610.734352, 597.102396, 583.512297, 569.964775, 556.460548, 543.000335, 529.584857, 516.214832, 502.890979, 489.614018, 476.384667, 463.203647, 450.071676, 436.989474, 423.957759, 410.977252, 398.04867, 385.154436, 372.277409, 359.456048, 346.692258, 333.987944, 321.345012, 308.765367, 296.250915, 283.803561, 271.42521, 259.117769, 246.883142, 234.723235, 222.639953, 210.635202, 198.710887, 186.868914, 175.503884, 164.413097, 153.389127, 142.421137, 131.498289, 120.609745, 109.744665, 98.8922114, 88.0415463, 77.181831, 66.3022273, 55.3918968, 44.4400011, 33.435702, 22.368161, 11.2265397, 0, -13.5246175, -26.7066093, -39.5911924, -52.2235839, -64.6490007, -76.9126599, -89.0597785, -101.135574, -113.185262, -125.254062, -137.387188, -149.62986, -162.027293, -174.624705, -187.467312, -200.600333, -214.115772, -228.06553, -242.388994, -257.141406, -272.37801, -288.154048, -304.524764, -321.545401, -339.271203, -357.757411, -377.059271, -397.232024, -418.330914, -440.239374, -463.247455, -487.461943, -512.989624, -539.816087, -568.108718, -598.067221, -629.83474, -663.554423, -699.369413, -737.422856, -777.898124, -820.885893, -866.52144, -914.94004, -966.276968, -1020.28272, -1077.57355, -1138.38092, -1202.9363, -1271.47117, -1343.06206, -1420.50696, -1507.28999, -1604.68842, -1709.47394, -1820.44112, -1936.38458, -2054.21492, -2175.03891, -2302.01852, -2438.07817, -2579.62222, -2721.21321, -2861.68611, -3007.11526, -3160.25202, -3336.11742, -3540.64385, -3734.77487, -3904.90225, -4003.38626, -4055.88582, -4060.57285, -4015.61928, -3919.19702, -3442.28423, -2992.04505, -2648.44985, -2491.46899, -2601.07285, -3499.70325, -4529.87812, -5581.93721, -6150.02688, -6281.31342, -6188.0437, -5909.12997, -5483.4845, -4950.01955, -4347.64738, -3789.32258, -3227.28253, -2676.05088, -2150.15129, -1664.10742, -1232.44291, -869.681441, -504.627123, -181.241274},
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2150  };
2151 
2152  const double b3tab[98][200] = {{98.4097635, 97.7327282, 97.0246638, 96.2867998, 95.5203657, 94.7265909, 93.9067049, 93.0619371, 92.1935171, 91.3026744, 90.3906383, 89.4586384, 88.5079042, 87.539665, 86.5551505, 85.55559, 84.5422131, 83.5162492, 82.4789278, 81.4314783, 80.3751303, 79.3111132, 78.2406564, 77.1649896, 76.085342, 75.0029433, 73.9190229, 72.8348102, 71.7515347, 70.670426, 69.5927134, 68.5196265, 67.4523947, 66.3922475, 65.3869471, 64.413478, 63.448265, 62.4910277, 61.5414854, 60.5993576, 59.6643635, 58.7362226, 57.8146543, 56.899378, 55.9901132, 55.086579, 54.1884951, 53.2955807, 52.4075554, 51.5241383, 50.6450491, 49.7826258, 48.9236956, 48.0677042, 47.2140974, 46.3623213, 45.5118214, 44.6620438, 43.8124343, 42.9624387, 42.1115028, 41.2590725, 40.4045937, 39.5475121, 38.6872737, 37.8233242, 36.9551095, 36.0852121, 35.2161389, 34.3408671, 33.4586389, 32.568697, 31.6702839, 30.7626421, 29.8450141, 28.9166423, 27.9767694, 27.0246379, 26.0594902, 25.0805688, 24.0871163, 23.0783752, 22.053588, 21.0119973, 19.8400545, 18.5957701, 17.3385101, 16.0711773, 14.7966746, 13.5179046, 12.2377703, 10.9591743, 9.68501957, 8.41820881, 7.16164483, 5.91823044, 4.69086842, 3.48246157, 2.29591268, 1.13412456, 0, -0.492508072, -1.02763148, -1.60286055, -2.21568561, -2.86359697, -3.54408496, -4.25463991, -4.99275214, -5.75591197, -6.54160973, -7.34733574, -8.17058032, -9.0088338, -9.8595865, -10.7203287, -11.5885509, -12.4624557, -13.3396354, -14.2159686, -15.0890983, -15.9566674, -16.816319, -17.6656962, -18.5024419, -19.3241991, -20.1286109, -20.9133202, -21.6759701, -22.4142037, -23.2119093, -23.9488612, -24.5968287, -25.1275812, -25.5916498, -25.921423, -26.0282861, -25.8603797, -25.3658447, -24.4928219, -23.189452, -22.0037422, -20.1013989, -17.3131977, -13.4699143, -8.40232424, -2.29175632, 5.46920525, 15.1374231, 26.96976, 41.2230784, 56.8581817, 77.0120645, 102.512478, 134.447753, 174.438233, 223.865399, 284.110732, 353.402663, 436.992326, 543.570539, 675.918512, 843.228763, 1045.82401, 1291.47771, 1600.58816, 1987.75864, 2452.12391, 3004.27689, 3711.52847, 4609.10665, 5449.80206, 6594.73195, 8176.89113, 10329.2744, 13184.8765, 20562.1728, 27987.3073, 34671.9048, 39827.5898, 42665.987, 39060.0148, 33785.8082, 27485.8661, 22645.5703, 19177.945, 16228.1465, 13747.5924, 11687.7002, 9999.88758, 8635.57211, 7352.59002, 6409.80526, 5741.56114, 5282.20096, 4966.06801, 4727.50559, 4500.85699, 4398.38134, 4348.23251},
2153  {88.9798529, 88.2951217, 87.5849799, 86.8505661, 86.0930192, 85.3134776, 84.5130801, 83.6929653, 82.8542718, 81.9981384, 81.1257036, 80.2381062, 79.3364847, 78.4219779, 77.4957243, 76.5588627, 75.6125317, 74.65787, 73.6960161, 72.7281088, 71.7552867, 70.7786885, 69.7994529, 68.8187183, 67.8376237, 66.8573075, 65.8789084, 64.9035652, 63.9324164, 62.9666007, 62.0072567, 61.0555232, 60.1125387, 59.179442, 58.3192783, 57.5009308, 56.6925387, 55.8932316, 55.1021392, 54.3183912, 53.5411172, 52.7694469, 52.0025099, 51.239436, 50.4793547, 49.7213958, 48.9646889, 48.2083637, 47.4515499, 46.693377, 45.9329748, 45.1284266, 44.3207982, 43.5101091, 42.6963787, 41.8796265, 41.059872, 40.2371346, 39.4114339, 38.5827893, 37.7512202, 36.9167461, 36.0793866, 35.239161, 34.3960888, 33.5501896, 32.7014827, 31.8576977, 31.0263788, 30.1916443, 29.3530139, 28.5100071, 27.6621437, 26.8089433, 25.9499256, 25.0846103, 24.2125169, 23.3331652, 22.4460749, 21.5507655, 20.6467568, 19.7335684, 18.81072, 17.8777313, 16.8725184, 15.8266986, 14.7726294, 13.7118295, 12.6458177, 11.5761129, 10.5042339, 9.43169952, 8.36002851, 7.2907397, 6.22535192, 5.16538397, 4.11235466, 3.0677828, 2.03318719, 1.01008666, 0, -0.487537316, -1.03385848, -1.63540289, -2.28860991, -2.98991894, -3.73576936, -4.52260055, -5.3468519, -6.2049628, -7.09337262, -8.00852076, -8.94684659, -9.90478951, -10.8787889, -11.8652841, -12.8607146, -13.8952686, -14.9702068, -16.0056317, -17.0052147, -17.972627, -18.91154, -19.8256249, -20.718553, -21.5939957, -22.4556241, -23.3071097, -24.1521236, -24.9943372, -25.9490019, -26.8672961, -27.7194172, -28.4755625, -29.1827966, -29.7728832, -30.1570877, -30.2825473, -30.096399, -29.5457798, -28.5778267, -27.838004, -26.3625871, -23.9620841, -20.4470026, -15.6278506, -9.26070561, -1.22411326, 8.65781103, 20.5609519, 34.6611938, 49.2274551, 68.6733235, 94.8006322, 129.095981, 172.402368, 225.851755, 290.576105, 363.790904, 451.434698, 563.718552, 703.320691, 881.487571, 1099.68614, 1367.07779, 1705.86178, 2132.25278, 2645.23713, 3256.56291, 4041.14864, 5038.18004, 6076.69069, 7438.3496, 9235.08747, 11578.835, 14581.523, 21576.8527, 28649.5416, 35106.0777, 40252.949, 43396.6436, 41056.7545, 37184.5947, 32281.036, 28102.5778, 24653.0724, 21413.1937, 18412.9528, 15682.3611, 13251.4295, 11150.1694, 9897.34365, 8812.39826, 7902.78179, 7175.9428, 6639.32987, 6300.3916, 6166.57655, 6185.58472, 6453.05986},
2154  {81.2404201, 80.4276522, 79.6081486, 78.7823681, 77.9507692, 77.1138106, 76.2719509, 75.4256488, 74.5753629, 73.7215518, 72.8646742, 72.0051888, 71.143554, 70.2802287, 69.4156714, 68.5503408, 67.6846955, 66.8191942, 65.9542954, 65.0904578, 64.2281402, 63.367801, 62.5098989, 61.6548927, 60.8032408, 59.9554021, 59.111835, 58.2729982, 57.4393504, 56.6113502, 55.7894563, 54.9741272, 54.1658217, 53.3649984, 52.6151191, 51.8942364, 51.1798859, 50.4711307, 49.7670338, 49.0666584, 48.3690676, 47.6733244, 46.9784921, 46.2836336, 45.587812, 44.8900905, 44.1895322, 43.4852002, 42.7761575, 42.0614672, 41.3401925, 40.5353818, 39.7237607, 38.9060401, 38.082931, 37.2551444, 36.4233911, 35.5883822, 34.7508286, 33.9114413, 33.0709312, 32.2300092, 31.3893862, 30.5497734, 29.7118815, 28.8764216, 28.0441045, 27.2379374, 26.4803921, 25.7261953, 24.9746128, 24.2249099, 23.4763524, 22.7282057, 21.9797356, 21.2302075, 20.478887, 19.7250398, 18.9679314, 18.2068274, 17.4409933, 16.6696948, 15.8921974, 15.1077668, 14.2814371, 13.4303097, 12.5718972, 11.7065761, 10.8347227, 9.95671367, 9.07292531, 8.1837341, 7.28951651, 6.39064899, 5.48750797, 4.58046993, 3.6699113, 2.75620854, 1.83973811, 0.920876442, 0, -0.61151956, -1.27769034, -1.9953361, -2.76128062, -3.57234765, -4.42536096, -5.31714432, -6.24452148, -7.20431623, -8.19335231, -9.2084535, -10.2464436, -11.3041463, -12.3783854, -13.4659846, -14.5637678, -15.6701332, -16.7821293, -17.8930188, -18.9999628, -20.1001225, -21.190659, -22.2687334, -23.3315069, -24.3761406, -25.3997957, -26.3996332, -27.3728145, -28.3165005, -29.2859219, -30.1988782, -31.0351098, -31.7743571, -32.4801404, -33.09031, -33.5203748, -33.7249411, -33.6586152, -33.2760033, -32.5317118, -32.2337918, -31.2236606, -29.2889462, -26.2172765, -21.7962795, -15.9210933, -8.24495819, 1.47137557, 13.4671576, 27.9816374, 43.4440488, 64.1158989, 91.289527, 126.393795, 171.136296, 227.099481, 295.865799, 376.246664, 473.225341, 594.808041, 740.480212, 925.818566, 1152.86534, 1432.84226, 1792.52516, 2251.5503, 2809.42907, 3480.58017, 4353.21336, 5473.79799, 6657.75087, 8218.14044, 10281.4158, 12974.026, 16422.4202, 24433.5609, 32533.2553, 39927.8242, 45823.5882, 49426.8679, 46729.8717, 42295.7743, 36708.3731, 32078.1236, 28384.5212, 24970.9535, 21848.7211, 19029.1246, 16523.4645, 14343.0416, 13198.4729, 11967.8175, 10746.6429, 9630.51633, 8715.00515, 8095.67668, 7868.09825, 7677.20175, 7788.23028},
2155  {74.8104589, 73.8658782, 72.9408945, 72.034769, 71.1467631, 70.2761381, 69.4221554, 68.5840762, 67.7611619, 66.9526738, 66.1578733, 65.3760217, 64.6063802, 63.8482104, 63.1007734, 62.3633306, 61.6351433, 60.9154729, 60.2035807, 59.498728, 58.8001761, 58.1071864, 57.4190203, 56.7349389, 56.0542038, 55.3760761, 54.6998173, 54.0246886, 53.3499514, 52.674867, 51.9986967, 51.320702, 50.640144, 49.9562842, 49.2353111, 48.493718, 47.7483959, 46.9996792, 46.2479027, 45.493401, 44.7365085, 43.97756, 43.21689, 42.4548331, 41.691724, 40.9278972, 40.1636873, 39.399429, 38.6354569, 37.8721055, 37.1097095, 36.3687079, 35.6288952, 34.8901699, 34.1524309, 33.415577, 32.6795069, 31.9441195, 31.2093134, 30.4749876, 29.7410406, 29.0073714, 28.2738787, 27.5404613, 26.8070179, 26.0734474, 25.3396484, 24.60396, 23.8647584, 23.1251596, 22.3851635, 21.6447699, 20.9039787, 20.1627899, 19.4212033, 18.6792189, 17.9368365, 17.1940561, 16.4508774, 15.7073005, 14.9633252, 14.2189515, 13.4741791, 12.7290081, 12.0121767, 11.3087112, 10.6032924, 9.89498743, 9.18286367, 8.46598838, 7.74342883, 7.01425229, 6.27752605, 5.53231739, 4.77769357, 4.01272188, 3.23646959, 2.44800398, 1.64639232, 0.830701907, 0, -0.928631309, -1.87062187, -2.82548311, -3.79272648, -4.77186341, -5.76240534, -6.7638637, -7.77574993, -8.79757547, -9.82885175, -10.8690902, -11.9178023, -12.9744994, -14.0386931, -15.1098946, -16.1876155, -17.2410416, -18.265352, -19.3286519, -20.4239545, -21.5442727, -22.6826198, -23.8320086, -24.9854525, -26.1359643, -27.2765572, -28.4002444, -29.5000388, -30.5689535, -31.6352894, -32.6438329, -33.5770109, -34.41725, -35.2277441, -35.9505363, -36.5061321, -36.8527282, -36.9485213, -36.7517081, -36.2204852, -36.2230976, -35.5307225, -33.9235037, -31.1815848, -27.0851096, -22.4137679, -15.6982708, -6.46887593, 5.74415961, 21.4105785, 40.1101974, 64.2903723, 93.0115871, 127.114364, 171.073469, 227.731967, 299.932922, 389.504433, 500.535206, 638.221185, 798.467064, 1002.46373, 1257.69936, 1577.83352, 1986.98286, 2504.46407, 3119.08644, 3842.25734, 4797.24453, 6044.04119, 7401.65425, 9208.13798, 11606.9039, 14741.3635, 18754.9283, 28040.0194, 37428.7863, 46002.3882, 52841.9843, 57028.7336, 53900.9483, 48777.8658, 42344.7226, 37137.4751, 33108.7829, 29440.1725, 26122.8601, 23148.0622, 20506.9951, 18190.8752, 16228.3059, 14583.1018, 13217.8003, 12094.9391, 11177.0555, 10426.6871, 9806.37138, 9414.92513, 9198.11435},
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2250  };
2251 
2252  const double b4tab[98][200] = {{-186.925396, -185.428619, -183.87549, -182.268397, -180.609732, -178.901884, -177.147243, -175.348199, -173.507143, -171.626463, -169.70855, -167.755794, -165.770585, -163.755313, -161.712368, -159.64414, -157.553018, -155.441394, -153.311656, -151.166195, -149.0074, -146.837662, -144.659371, -142.474916, -140.286688, -138.097077, -135.908472, -133.723263, -131.543841, -129.372595, -127.211916, -125.064193, -122.931816, -120.817176, -118.813762, -116.876499, -114.959215, -113.061343, -111.182317, -109.321571, -107.478538, -105.652652, -103.843346, -102.050055, -100.27221, -98.5092469, -96.7605982, -95.0256978, -93.3039792, -91.594876, -89.8978218, -88.2296282, -86.571974, -84.9239161, -83.2845113, -81.6528165, -80.0278885, -78.4087842, -76.7945604, -75.184274, -73.5769818, -71.9717407, -70.3676076, -68.7636393, -67.1588926, -65.5524245, -63.9432917, -62.3335941, -60.7253585, -59.1113659, -57.4904757, -55.8615477, -54.2234413, -52.5750162, -50.9151319, -49.2426481, -47.5564244, -45.8553203, -44.1381954, -42.4039093, -40.6513216, -38.8792919, -37.0866797, -35.2723448, -33.2511509, -31.1178257, -28.9693081, -26.8104287, -24.6460181, -22.480907, -20.319926, -18.1679055, -16.0296763, -13.910069, -11.8139141, -9.74604227, -7.71128409, -5.71447017, -3.76043111, -1.85399752, 0, 0.789810703, 1.64166074, 2.55162082, 3.51576165, 4.53015392, 5.59086834, 6.69397562, 7.83554645, 9.01165154, 10.2183616, 11.4517473, 12.7078794, 13.9828286, 15.2726656, 16.573461, 17.8812856, 19.1938099, 20.5073332, 21.8143075, 23.1111464, 24.3942633, 25.6600718, 26.9049855, 28.1254177, 29.3177821, 30.4784922, 31.6039615, 32.6906035, 33.7348317, 34.8648818, 35.8970104, 36.7880844, 37.4949707, 38.0937281, 38.4816274, 38.5241553, 38.142421, 37.2575338, 35.7906031, 33.6627382, 31.7098614, 28.6598477, 24.2548214, 18.2369067, 10.3482278, 0.852328441, -11.1604416, -26.078313, -44.2895165, -66.1822827, -90.1603839, -121.021959, -160.060796, -208.94172, -270.087083, -345.579122, -437.500075, -543.112905, -670.414413, -832.658788, -1034.17891, -1288.75743, -1596.96821, -1970.51462, -2439.95837, -3027.20486, -3731.23357, -4568.00615, -5637.54608, -6992.32673, -8265.8317, -9993.98406, -12374.2921, -15604.2641, -19881.4083, -30975.1018, -42118.0169, -52114.6946, -59769.676, -63887.5022, -58174.8196, -49932.6602, -40150.377, -32679.1088, -27375.4184, -22903.4579, -19179.4107, -16119.4601, -13639.7894, -11656.5821, -9802.55027, -8428.98912, -7442.177, -6748.39222, -6253.91311, -5865.018, -5487.98523, -5272.30142, -5113.43163},
2253  {-168.555271, -167.062415, -165.523968, -163.942134, -162.319116, -160.657119, -158.958346, -157.225003, -155.459291, -153.663416, -151.839581, -149.98999, -148.116848, -146.222358, -144.308723, -142.378149, -140.432839, -138.474996, -136.506826, -134.530531, -132.548316, -130.562384, -128.57494, -126.588187, -124.60433, -122.625573, -120.654118, -118.692171, -116.741935, -114.805614, -112.885412, -110.983533, -109.102182, -107.24356, -105.52924, -103.899231, -102.292108, -100.706202, -99.1398436, -97.5913624, -96.0590889, -94.5413534, -93.0364862, -91.5428176, -90.0586778, -88.5823972, -87.1123061, -85.6467346, -84.1840132, -82.722472, -81.2604415, -79.7134777, -78.1644795, -76.6135715, -75.0608783, -73.5065246, -71.9506351, -70.3933344, -68.8347472, -67.2749981, -65.7142119, -64.1525131, -62.5900265, -61.0268766, -59.4631883, -57.899086, -56.3346945, -54.7830113, -53.2567248, -51.7294103, -50.2003582, -48.6688584, -47.1342014, -45.5956771, -44.0525758, -42.5041876, -40.9498027, -39.3887113, -37.8202035, -36.2435696, -34.6580996, -33.0630838, -31.4578124, -29.8415754, -28.1133874, -26.3247857, -24.5285125, -22.7271121, -20.923129, -19.1191073, -17.3175915, -15.5211257, -13.7322544, -11.9535218, -10.1874723, -8.43665009, -6.70359954, -4.99086494, -3.30099062, -1.63652087, 0, 0.788871434, 1.66351404, 2.61841948, 3.6480794, 4.74698546, 5.9096293, 7.13050258, 8.40409695, 9.72490407, 11.0874156, 12.4861231, 13.9155184, 15.370093, 16.8443387, 18.332747, 19.8298096, 21.3822195, 22.9919258, 24.5353455, 26.0181564, 27.446036, 28.824662, 30.1597122, 31.4568641, 32.7217954, 33.9601838, 35.1777069, 36.3800425, 37.572868, 38.9324269, 40.2312905, 41.4239667, 42.4649636, 43.4260439, 44.2030881, 44.6607091, 44.7182384, 44.2950075, 43.3103479, 41.6835914, 40.3986326, 37.9862424, 34.1574683, 28.6233578, 21.0949583, 11.1902133, -1.26344967, -16.5317072, -34.8802358, -56.574712, -78.9590514, -108.791732, -148.859641, -201.440001, -267.769481, -349.551935, -448.49122, -560.290616, -694.018322, -865.288623, -1078.25732, -1349.9475, -1682.70625, -2090.42449, -2606.55368, -3255.56664, -4036.14928, -4966.08894, -6157.72514, -7669.91336, -9249.63177, -11315.5943, -14034.6138, -17573.5033, -22099.0759, -32687.204, -43368.3763, -53082.1407, -60768.0454, -65365.6386, -61514.4847, -55320.7711, -47566.8962, -41028.7966, -35699.7615, -30742.4393, -26191.6512, -22082.2187, -18448.963, -15326.7055, -13453.3667, -11842.239, -10495.024, -9413.42304, -8599.13781, -8053.86979, -7779.32052, -7696.6568, -7916.77787},
2254  {-153.482925, -151.757938, -150.023487, -148.280448, -146.529697, -144.772112, -143.008569, -141.239946, -139.467118, -137.690963, -135.912358, -134.13218, -132.351305, -130.57061, -128.790972, -127.013267, -125.238374, -123.467168, -121.700526, -119.939325, -118.184442, -116.436754, -114.697138, -112.96647, -111.245627, -109.535486, -107.836924, -106.150818, -104.478045, -102.819481, -101.176003, -99.5484876, -97.9378125, -96.344854, -94.8511128, -93.4154581, -91.9957898, -90.5903684, -89.1974544, -87.8153082, -86.4421901, -85.0763608, -83.7160804, -82.3596096, -81.0052087, -79.6511382, -78.2956584, -76.9370299, -75.573513, -74.2033682, -72.8248559, -71.2943193, -69.7550125, -68.2082726, -66.6554363, -65.0978406, -63.5368224, -61.9737186, -60.4098662, -58.8466021, -57.2852631, -55.7271863, -54.1737084, -52.6261665, -51.0858975, -49.5542382, -48.0325256, -46.5612748, -45.1800602, -43.8094166, -42.4481413, -41.0950315, -39.7488841, -38.4084965, -37.0726657, -35.7401889, -34.4098633, -33.080486, -31.7508542, -30.419765, -29.0860156, -27.7484031, -26.4057248, -25.0567776, -23.6417038, -22.1898618, -20.731315, -19.2667639, -17.7969092, -16.3224516, -14.8440916, -13.3625299, -11.8784671, -10.3926038, -8.90564066, -7.41827831, -5.93121735, -4.44515842, -2.96080214, -1.47884912, 0, 0.987987976, 2.05400637, 3.1931904, 4.40067528, 5.67159622, 7.00108844, 8.38428716, 9.81632759, 11.2923449, 12.8074744, 14.3568513, 15.9356107, 17.5388879, 19.1618182, 20.7995366, 22.4471785, 24.1025717, 25.7612362, 27.4122165, 29.0512249, 30.6739734, 32.2761745, 33.8535403, 35.401783, 36.9166148, 38.3937481, 39.828895, 41.2177677, 42.5560784, 43.9278284, 45.2080683, 46.3660237, 47.3709201, 48.3208169, 49.1205228, 49.6404906, 49.8112957, 49.5635135, 48.8277193, 47.5344884, 46.9169366, 45.2066736, 42.0794299, 37.2109362, 30.2769229, 21.1169577, 9.20197479, -5.83325462, -24.3539593, -46.7253679, -70.5469759, -102.330086, -144.061192, -197.924616, -266.508582, -352.219968, -457.465655, -580.412688, -728.67138, -914.47732, -1137.06446, -1420.17539, -1766.99466, -2194.62664, -2743.7621, -3444.26525, -4295.58415, -5319.69737, -6650.10934, -8357.23917, -10165.8875, -12545.2639, -15685.4247, -19776.4261, -25008.3244, -37214.9469, -49531.636, -60737.5053, -69611.6683, -74933.2386, -70499.0452, -63392.009, -54526.5083, -47235.1107, -41474.9945, -36195.7591, -31404.9619, -27110.16, -23318.9108, -20038.7716, -18254.2201, -16392.3622, -14575.8259, -12927.2389, -11569.2291, -10624.4245, -10215.4528, -9851.4599, -9878.1402},
2255  {-140.878578, -138.916758, -136.99567, -135.113903, -133.270049, -131.462697, -129.690437, -127.95186, -126.245556, -124.570115, -122.924127, -121.306182, -119.714871, -118.148783, -116.606509, -115.08664, -113.587764, -112.108473, -110.647356, -109.203004, -107.774007, -106.358955, -104.956439, -103.565047, -102.183371, -100.810001, -99.4435272, -98.0825392, -96.7256274, -95.371382, -94.0183933, -92.6652513, -91.3105463, -89.9528685, -88.5271908, -87.0652502, -85.5995481, -84.1307392, -82.659478, -81.1864193, -79.7122178, -78.2375281, -76.7630049, -75.2893028, -73.8170766, -72.3469809, -70.8796703, -69.4157996, -67.9560234, -66.5009963, -65.0513731, -63.6447044, -62.2439489, -60.8489617, -59.4595975, -58.0757112, -56.6971575, -55.3237914, -53.9554677, -52.5920412, -51.2333668, -49.8792992, -48.5296934, -47.1844042, -45.8432863, -44.5061947, -43.1729842, -41.8405662, -40.5059227, -39.1749793, -37.8477815, -36.524375, -35.2048054, -33.8891185, -32.5773598, -31.2695751, -29.9658099, -28.6661099, -27.3705207, -26.0790881, -24.7918576, -23.5088749, -22.2301857, -20.9558356, -19.731786, -18.5341591, -17.3385247, -16.1434386, -14.9474562, -13.7491333, -12.5470253, -11.339688, -10.1256767, -8.90354729, -7.67185518, -6.42915601, -5.17400538, -3.90495887, -2.62057208, -1.31940059, 0, 1.48262623, 2.97832256, 4.48643111, 6.00629395, 7.53725318, 9.07865088, 10.6298292, 12.1901301, 13.7588958, 15.3354683, 16.9191897, 18.5094022, 20.1054478, 21.7066686, 23.3124067, 24.9220042, 26.4881129, 28.0034048, 29.5728311, 31.1857286, 32.8314345, 34.4992858, 36.1786195, 37.8587727, 39.5290824, 41.1788856, 42.7975193, 44.3743207, 45.8986267, 47.4134394, 48.8347537, 50.135807, 51.2898368, 52.3936627, 53.3587313, 54.0635337, 54.4442327, 54.4369911, 53.9779719, 53.0033379, 52.8404883, 51.6109299, 48.978627, 44.6075439, 38.1616452, 30.8355043, 20.3798242, 6.07591719, -12.7949047, -36.9513292, -65.7540648, -102.939531, -147.054274, -199.380359, -266.784879, -353.627363, -464.267341, -601.536259, -771.669022, -982.567531, -1227.89859, -1540.17385, -1931.05681, -2421.47106, -3048.03093, -3840.14844, -4780.5206, -5886.44816, -7346.52013, -9252.43521, -11333.1233, -14098.8623, -17766.925, -22554.5836, -28679.1108, -42909.4015, -57273.2, -70349.8734, -80718.7884, -86959.3119, -81826.6949, -73607.1641, -63376.1363, -55135.0026, -48800.9814, -43072.1348, -37926.6389, -33342.6699, -29298.4036, -25772.0163, -22796.3174, -20305.0625, -18238.898, -16538.4706, -15144.4268, -13997.4132, -13038.0762, -12400.6408, -12000.1893},
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2346  {-36.7036308, -40.0990239, -43.1474893, -45.8590284, -48.2436426, -50.3113336, -52.0721027, -53.5359513, -54.7128811, -55.6128934, -56.2459898, -56.6221716, -56.7514404, -56.6437976, -56.3092448, -55.7577833, -54.9994146, -54.0441403, -52.9019618, -51.5828805, -50.096898, -48.4540157, -46.664235, -44.7375575, -42.6839847, -40.5135179, -38.2361586, -35.8619084, -33.4007687, -30.862741, -28.2578267, -25.5960274, -22.8873444, -20.1417793, -17.4726137, -14.8360368, -12.186996, -9.53214127, -6.87812239, -4.23158919, -1.59919151, 1.01242082, 3.59659799, 6.14669016, 8.6560475, 11.1180202, 13.5259584, 15.8732123, 18.153132, 20.3590678, 22.4843698, 24.3921585, 26.2088368, 27.9305782, 29.5535557, 31.0739429, 32.4879129, 33.791639, 34.9812946, 36.053053, 37.0030873, 37.8275711, 38.5226774, 39.0845797, 39.5094512, 39.7934653, 39.9327951, 39.6945733, 38.8514313, 37.8719222, 36.7670669, 35.5478865, 34.225402, 32.8106347, 31.3146055, 29.7483356, 28.122846, 26.4491577, 24.738292, 23.0012698, 21.2491122, 19.4928404, 17.7434754, 16.0120382, 14.3971827, 12.8642703, 11.3776092, 9.9453768, 8.57575021, 7.2769067, 6.0570235, 4.92427785, 3.88684697, 2.95290811, 2.13063849, 1.42821536, 0.853815928, 0.415617446, 0.121797141, -0.0194677516, 0, -0.194846855, -0.175436108, 0.068813246, 0.548482216, 1.27415181, 2.25640303, 3.5058169, 5.0329744, 6.84845656, 8.96284439, 11.3867189, 14.130661, 17.2052519, 20.6210724, 24.3887037, 28.5187266, 32.7517085, 37.059657, 42.0638984, 47.7171538, 53.9721439, 60.7815898, 68.0982123, 75.8747324, 84.063871, 92.618349, 101.490887, 110.634207, 120.001028, 129.399625, 138.98013, 148.738598, 158.671086, 168.854455, 179.244356, 189.774895, 200.417884, 211.145138, 221.928469, 232.73969, 243.862729, 254.862295, 265.649137, 276.134001, 286.227638, 295.250747, 303.851635, 312.088563, 320.019789, 327.703575, 337.292182, 344.190531, 346.268495, 342.10029, 331.698161, 314.428705, 289.658522, 259.983828, 220.807599, 164.009598, 83.0965692, -21.08103, -143.987635, -287.656855, -465.253399, -684.832616, -949.460561, -1265.89906, -1659.20404, -2144.08325, -2699.87183, -3382.09207, -4217.69608, -5233.63597, -6456.86384, -8810.27568, -11200.8938, -13431.6842, -15305.6132, -16625.6468, -16429.362, -15795.3737, -14854.6719, -14107.2362, -13537.9985, -12978.1449, -12420.2944, -11857.0661, -11281.0791, -10684.9524, -9203.86967, -8286.15713, -7754.87973, -7433.10244, -7143.89024, -6710.3081, -5955.42101, -5569.95265, -4667.95586},
2347  {-40.407689, -45.9605104, -50.9641119, -55.4359258, -59.3933845, -62.8539205, -65.8349661, -68.3539537, -70.4283157, -72.0754845, -73.3128924, -74.157972, -74.6281555, -74.7408754, -74.513564, -73.9636538, -73.1085771, -71.9657663, -70.5526538, -68.8866721, -66.9852535, -64.8658303, -62.5458351, -60.0427001, -57.3738578, -54.5567406, -51.6087808, -48.5474109, -45.3900632, -42.1541701, -38.857164, -35.5164774, -32.1495426, -28.7737919, -25.8449278, -23.1520292, -20.4789074, -17.8287722, -15.2048333, -12.6103003, -10.0483829, -7.52229088, -5.03523385, -2.59042153, -0.191063608, 2.15963023, 4.45845029, 6.70218688, 8.88763032, 11.0115709, 13.070799, 15.0994897, 17.0562382, 18.9370241, 20.7378275, 22.4546281, 24.0834059, 25.6201407, 27.0608124, 28.4014009, 29.637886, 30.7662477, 31.7824658, 32.6825202, 33.4623907, 34.1180573, 34.6454999, 34.8660398, 34.6051923, 34.2191569, 33.7152358, 33.1007312, 32.3829456, 31.569181, 30.6667399, 29.6829244, 28.6250368, 27.5003794, 26.3162545, 25.0799643, 23.798811, 22.480097, 21.1311246, 19.7591958, 18.1883795, 16.5214488, 14.863379, 13.2274189, 11.6268169, 10.0748216, 8.58468156, 7.16964529, 5.84296136, 4.61787832, 3.50764471, 2.52550909, 1.68472001, 0.998526007, 0.480175639, 0.142917454, 0, -5.04533406, -8.80453044, -11.3488094, -12.7493913, -13.0774962, -12.4043446, -10.8011566, -8.33915261, -5.0895528, -1.12357748, 3.4875531, 8.67261865, 14.3603989, 20.4796736, 26.9592225, 33.7278253, 42.0318743, 51.9883798, 60.5458071, 67.9152814, 74.3079281, 79.9348725, 85.0072398, 89.7361554, 94.3327447, 99.0081328, 103.973445, 109.439807, 115.618343, 123.664723, 132.499195, 142.049523, 152.243469, 163.219209, 174.799299, 186.750184, 198.936502, 211.222894, 223.473996, 235.554448, 245.902147, 256.242698, 266.719885, 277.477492, 288.659301, 302.37192, 316.305603, 330.113428, 343.448475, 355.96382, 367.363219, 377.187134, 386.398457, 394.765768, 399.619271, 399.383953, 392.4848, 376.052677, 350.100809, 316.054184, 277.150749, 225.938984, 159.72594, 74.3378929, -36.9079686, -179.542744, -358.643603, -579.623959, -849.561633, -1174.59296, -1512.49107, -1925.19601, -2435.58522, -3066.53617, -3840.92631, -5391.85238, -6979.41771, -8473.94495, -9745.75671, -10665.1756, -10620.2139, -10285.0449, -9736.69571, -9238.37693, -8793.41802, -8327.57191, -7848.04684, -7362.05105, -6876.79278, -6399.48027, -5223.19858, -4653.64555, -4470.72461, -4454.33919, -4384.39272, -4040.78864, -3203.43039, -3073.28089, -2486.75042},
2348  {-33.1017163, -39.8779159, -46.0391019, -51.6044334, -56.5930698, -61.0241704, -64.9168945, -68.2904012, -71.1638499, -73.5564, -75.4872105, -76.975441, -78.0402505, -78.7007984, -78.976244, -78.8857465, -78.4484652, -77.6835595, -76.6101885, -75.2475116, -73.6146881, -71.7308771, -69.6152381, -67.2869302, -64.7651128, -62.0689451, -59.2175864, -56.230196, -53.1259331, -49.9239571, -46.6434273, -43.3035028, -39.923343, -36.5221072, -33.5998286, -30.925115, -28.2607944, -25.6104208, -22.9775481, -20.3657304, -17.7785216, -15.2194758, -12.6921469, -10.2000889, -7.74685587, -5.33600173, -2.9710805, -0.655646153, 1.6067473, 3.81254588, 5.95819559, 8.04310715, 10.0606976, 12.0073486, 13.8794421, 15.6733596, 17.3854829, 19.0121938, 20.549874, 21.9949053, 23.3436693, 24.5925479, 25.7379228, 26.7761756, 27.7036882, 28.5168423, 29.2120196, 29.6417177, 29.6618888, 29.5656649, 29.3587552, 29.0468688, 28.6357149, 28.1310026, 27.5384412, 26.8637397, 26.1126074, 25.2907534, 24.4038869, 23.457717, 22.4579529, 21.4103038, 20.3204788, 19.1941871, 17.8175862, 16.310779, 14.7965074, 13.2876055, 11.7969071, 10.3372465, 8.92145751, 7.5623743, 6.27283088, 5.06566127, 3.95369952, 2.94977966, 2.06673573, 1.31740176, 0.714611794, 0.271199861, 0, -3.75444364, -6.54693917, -8.42515211, -9.43674799, -9.62939234, -9.05075068, -7.74848854, -5.77027146, -3.16376495, 0.0233654538, 3.74345422, 7.94883583, 12.5918448, 17.6248155, 23.0000824, 28.6699801, 35.414298, 43.3035783, 50.4185313, 56.8888031, 62.8440402, 68.4138886, 73.7279946, 78.9160046, 84.1075647, 89.4323211, 95.0199203, 101.000008, 107.502231, 115.077001, 123.278918, 132.111398, 141.577859, 152.006595, 163.238584, 175.028169, 187.281303, 199.903941, 212.802034, 225.881537, 238.082741, 250.571157, 263.441675, 276.78918, 290.708561, 307.276509, 324.110657, 340.810438, 356.97529, 372.204648, 385.236167, 397.584352, 410.959863, 425.707402, 439.382835, 450.794161, 458.749377, 460.631156, 456.996755, 449.958327, 442.820079, 429.642091, 407.921042, 374.6133, 325.75971, 257.821357, 167.249901, 50.5039835, -95.9231964, -275.557988, -456.431384, -683.025914, -971.15478, -1336.63119, -1795.26833, -2747.45513, -3728.28515, -4657.42767, -5454.55196, -6039.32731, -6040.7219, -5862.90682, -5550.13753, -5243.75717, -4949.59064, -4633.00967, -4301.86183, -3963.99468, -3627.25581, -3299.4928, -2822.42129, -2540.89081, -2374.94485, -2244.62694, -2069.98057, -1771.04926, -1267.87651, -1071.45202, -816.261377},
2349  {-31.0761186, -37.9526665, -44.3080895, -50.1566205, -55.5124922, -60.3899375, -64.8031891, -68.7664798, -72.2940424, -75.4001097, -78.0989144, -80.4046894, -82.3316674, -83.8940811, -85.1061635, -85.9821472, -86.5362651, -86.7827499, -86.7358345, -86.4097515, -85.8187338, -84.9770142, -83.8988254, -82.5984003, -81.0899715, -79.387772, -77.5060344, -75.4589916, -73.2608764, -70.9259215, -68.4683597, -65.9024238, -63.2423465, -60.5023608, -57.9287274, -55.4147849, -52.8510825, -50.2443233, -47.6012104, -44.9284468, -42.2327354, -39.5207794, -36.7992817, -34.0749454, -31.3544734, -28.6445689, -25.9519348, -23.2832741, -20.6452898, -18.0446851, -15.4881629, -13.1778984, -10.920885, -8.71958834, -6.57647386, -4.49400718, -2.47465385, -0.520879454, 1.36485046, 3.18007031, 4.92231455, 6.58911759, 8.17801388, 9.68653786, 11.1122239, 12.4526066, 13.7052202, 14.8225085, 15.7579979, 16.602219, 17.3556292, 18.0186861, 18.5918471, 19.0755697, 19.4703114, 19.7765296, 19.9946819, 20.1252257, 20.1686186, 20.1253179, 19.9957811, 19.7804659, 19.4798295, 19.0943296, 18.157605, 16.9133414, 15.6108353, 14.2656933, 12.893522, 11.5099281, 10.1305182, 8.77089891, 7.44667692, 6.17345886, 4.96685136, 3.84246106, 2.8158946, 1.90275863, 1.11865978, 0.479204691, 0, -0.184455236, -0.0921398179, 0.271999199, 0.903014759, 1.79595981, 2.94588729, 4.34785014, 5.99690132, 7.88809376, 10.0164804, 12.3771142, 14.9650481, 17.7753351, 20.803028, 24.0431799, 27.4908436, 31.3924113, 35.7788414, 40.0766818, 44.3348438, 48.6022387, 52.9277779, 57.3603727, 61.9489344, 66.7423743, 71.7896038, 77.1395341, 82.8410766, 88.9431427, 95.665327, 102.823274, 110.414689, 118.437278, 126.985746, 136.0093, 145.431282, 155.220298, 165.344957, 175.773864, 186.475628, 196.667608, 207.298298, 218.483291, 230.338175, 242.978541, 257.471725, 272.743635, 288.671927, 305.134253, 322.008269, 338.811733, 356.222067, 374.73871, 394.521675, 415.037984, 436.065796, 457.383274, 478.55606, 499.623132, 520.855303, 542.446458, 564.012548, 585.850716, 607.715591, 628.442546, 647.288905, 663.74577, 677.131078, 685.905582, 689.014907, 692.806716, 687.685821, 670.035601, 636.239436, 582.680708, 426.568934, 263.254822, 108.915219, -20.2730286, -108.133076, -80.1280218, -17.3477775, 71.3730515, 157.642359, 240.36705, 326.602988, 414.849631, 503.606434, 591.372856, 676.648353, 853.556775, 945.89716, 983.432795, 995.926967, 1013.14296, 1064.84407, 1180.79358, 1248.48544, 1248.76263}
2350  };
2351 
2352  /* YPtag: chiAmin tables above */
2353 
2354  /* Stuff for interpolating the NQC data */
2355  gsl_spline *spline = NULL;
2356  gsl_interp_accel *acc = NULL;
2357  /* Interpolate the spin NQC data in 2-D parameter space -- spin and mass ratio */
2358  /* First, interpolate in spin dimension for all mass ratios */
2359  spline = gsl_spline_alloc( gsl_interp_cspline, adim );
2360  acc = gsl_interp_accel_alloc();
2361  for (i = 0; i < qdim; i++)
2362  {
2363  gsl_spline_init( spline, alist, a3stab[i], adim );
2364  gsl_interp_accel_reset( acc );
2365  a3slist[i] = gsl_spline_eval( spline, chiA, acc );
2366  gsl_spline_init( spline, alist, a4tab[i], adim );
2367  gsl_interp_accel_reset( acc );
2368  a4list[i] = gsl_spline_eval( spline, chiA, acc );
2369  gsl_spline_init( spline, alist, a5tab[i], adim );
2370  gsl_interp_accel_reset( acc );
2371  a5list[i] = gsl_spline_eval( spline, chiA, acc );
2372  gsl_spline_init( spline, alist, b3tab[i], adim );
2373  gsl_interp_accel_reset( acc );
2374  b3list[i] = gsl_spline_eval( spline, chiA, acc );
2375  gsl_spline_init( spline, alist, b4tab[i], adim );
2376  gsl_interp_accel_reset( acc );
2377  b4list[i] = gsl_spline_eval( spline, chiA, acc );
2378  // printf("%.15f\n",a3slist[i]);
2379  }
2380  //printf("%.15f\n",a);
2381  gsl_spline_free(spline);
2382  gsl_interp_accel_free(acc);
2383  /* Second, interpolate in mass ratio dimension */
2384  spline = gsl_spline_alloc( gsl_interp_cspline, qdim );
2385  acc = gsl_interp_accel_alloc();
2386  gsl_spline_init( spline, etalist, a3slist, qdim );
2387  gsl_interp_accel_reset( acc );
2388  coeffs->a3S = gsl_spline_eval( spline, eta, acc );
2389  gsl_spline_init( spline, etalist, a4list, qdim );
2390  gsl_interp_accel_reset( acc );
2391  coeffs->a4 = gsl_spline_eval( spline, eta, acc );
2392  gsl_spline_init( spline, etalist, a5list, qdim );
2393  gsl_interp_accel_reset( acc );
2394  coeffs->a5 = gsl_spline_eval( spline, eta, acc );
2395  gsl_spline_init( spline, etalist, b3list, qdim );
2396  gsl_interp_accel_reset( acc );
2397  coeffs->b3 = gsl_spline_eval( spline, eta, acc );
2398  gsl_spline_init( spline, etalist, b4list, qdim );
2399  gsl_interp_accel_reset( acc );
2400  coeffs->b4 = gsl_spline_eval( spline, eta, acc );
2401  gsl_spline_free(spline);
2402  gsl_interp_accel_free(acc);
2403 
2404  return XLAL_SUCCESS;
2405 
2406 }
2407 
2408 /**
2409  * Function to 3D-interpolate known amplitude NQC coeffcients of spin terms for SEOBNRv2,
2410  * namely a3s, a4 and a5.
2411  * The a3s, a4 and a5 values were calculated for
2412  * 11 mass ratios q=1,1.5,2,4,6,8,10,11,12,14 and 20,
2413  * 19 spin (\f$\chi\f$ defined in Taracchini et al. PRD 86, 024011 (2012)) values
2414  * chi = -1, -0.9, -0.8, ......, 0.3, 0.4, 0.5, 0.55, 0.6, 0.65, and
2415  * 3 chiA values, the max and min allowed chiA for given q and chi, as well as the mid value.
2416  * The calculation was done by Andrea Taracchini using a C++ code of the UMaryland group.
2417  * In principle, these numbers can be automatically calculated iteratively by the LAL code.
2418  * However, since such calcualtion increase the cost of each waveform generation by
2419  * about an order of magnitude, we prepare these numbers in advance reduce cost.
2420  * These number can be verified by confirming that
2421  * the peak amplitude and frequency agree well with the NR-fits predicted values,
2422  * and to get exact NR-fits predicted values, corrections on these numbers are ~1%.
2423  */
2424 UNUSED static int XLALSimIMRGetEOBCalibratedSpinNQC3D(
2425  EOBNonQCCoeffs * restrict coeffs,
2426  INT4 UNUSED l,
2427  INT4 UNUSED m,
2428  REAL8 m1,
2429  REAL8 m2,
2430  REAL8 a,
2431  REAL8 chiAin )
2432 {
2433 
2434  REAL8 eta = m1*m2/((m1+m2)*(m1+m2));
2435 
2436 #if OLDNSNQC
2437  const unsigned int nsqdim = 101;
2438 
2439  memset( coeffs, 0, sizeof( *coeffs ) );
2440  const double nsetalist[101] = {0.021, 0.0233, 0.0256, 0.0279, 0.0302, 0.0324, 0.0347, 0.037, 0.0393, 0.0416, 0.0439, 0.0462, 0.0485, 0.0508, 0.0531, 0.0553, 0.0576, 0.0599, 0.0622, 0.0645, 0.0668, 0.0691, 0.0714, 0.0737, 0.076, 0.0782, 0.0805, 0.0828, 0.0851, 0.0874, 0.0897, 0.092, 0.0943, 0.0966, 0.0989, 0.1012, 0.1034, 0.1057, 0.108, 0.1103, 0.1126, 0.1149, 0.1172, 0.1195, 0.1218, 0.124, 0.1263, 0.1286, 0.1309, 0.1332, 0.1355, 0.1378, 0.1401, 0.1424, 0.1447, 0.147, 0.1492, 0.1515, 0.1538, 0.1561, 0.1584, 0.1607, 0.163, 0.1653, 0.1676, 0.1698, 0.1721, 0.1744, 0.1767, 0.179, 0.1813, 0.1836, 0.1859, 0.1882, 0.1905, 0.1927, 0.195, 0.1973, 0.1996, 0.2019, 0.2042, 0.2065, 0.2088, 0.2111, 0.2134, 0.2156, 0.2179, 0.2202, 0.2225, 0.2248, 0.2271, 0.2294, 0.2317, 0.234, 0.2363, 0.2385, 0.2408, 0.2431, 0.2454, 0.2477, 0.25};
2441 
2442  const double a1list[101] = {-9.70365622284, -9.5487796595, -9.40705218072, -9.28242447497, -9.16287060127, -9.03811669547, -8.92394749379, -8.81661027414, -8.7095851328, -8.60723315388, -8.50836995352, -8.40985391052, -8.314500912, -8.22035943611, -8.12770592382, -8.03757606119, -7.94997595927, -7.86421160183, -7.77953168332, -7.69584399308, -7.61324344682, -7.53192249536, -7.45216063215, -7.37374612092, -7.29648777301, -7.22046897906, -7.14581213839, -7.07265232481, -7.00073270258, -6.92991647363, -6.85992514074, -6.79104613524, -6.72328769905, -6.65664446919, -6.59158891131, -6.52783781218, -6.4667874811, -6.41088676175, -6.35876275395, -6.3073217784, -6.25613493225, -6.20587481079, -6.15851113649, -6.1141742151, -6.07327317284, -6.03621329966, -6.0001893395, -5.96655531812, -5.93844433597, -5.91027864135, -5.88037825648, -5.85358373242, -5.83336708498, -5.82744285781, -5.82818819089, -5.8231589417, -5.81812839946, -5.81887431779, -5.82568678472, -5.83621354379, -5.84931204972, -5.86442954488, -5.88109070102, -5.89755497618, -5.91392008194, -5.93177097875, -5.95199881766, -5.97697408745, -6.00401909417, -6.032531535, -6.06148086596, -6.09023163793, -6.11920032326, -6.14820900838, -6.17641365359, -6.20357599269, -6.23098735047, -6.25903214508, -6.28832401322, -6.32033354968, -6.35344345473, -6.38745961465, -6.42231976572, -6.46800466293, -6.50219865357, -6.52990506622, -6.54965342702, -6.58271099648, -6.626558215, -6.67664802777, -6.72810147477, -6.77989789496, -6.83928403282, -6.91446932169, -6.99994425628, -7.08201636107, -7.21472596367, -7.36827339046, -7.55475356656, -7.81665470799, -8.24936799702};
2443 
2444  const double a2list[101] = {71.8355837876, 70.2888163877, 68.858392382, 67.578368761, 66.3483263783, 65.0816770892, 63.9139561883, 62.8042133759, 61.7074812267, 60.6519669001, 59.6324792699, 58.6222094978, 57.6434687679, 56.6791933949, 55.7311388293, 54.8071777364, 53.9062860992, 53.0218701557, 52.1495389357, 51.2895492368, 50.4445863927, 49.6138840037, 48.797074544, 47.9943062521, 47.2056828988, 46.4310888273, 45.6708900349, 44.9258152616, 44.1929201091, 43.4702452949, 42.7537119379, 42.0477065689, 41.3531483593, 40.6709264131, 40.0029858455, 39.3453826346, 38.7105183605, 38.119829408, 37.5632095631, 37.0166865581, 36.4716876499, 35.9345595307, 35.4276417334, 34.9454114602, 34.4897359229, 34.0666726398, 33.6585411373, 33.268152249, 32.9062444867, 32.5494651377, 32.1932422911, 31.8674681969, 31.598287958, 31.4450951286, 31.3504698588, 31.2224679676, 31.1007751184, 31.0231242897, 30.991643584, 30.991534397, 31.0161048282, 31.0616750366, 31.1249606145, 31.1939358163, 31.2696363303, 31.3636652679, 31.4828878696, 31.6456708233, 31.8311325739, 32.034527166, 32.2477681231, 32.4658509298, 32.6919766483, 32.9247097971, 33.1580140019, 33.3900369294, 33.6294910387, 33.8788248397, 34.1421252583, 34.4296046145, 34.7294034713, 35.0398350888, 35.3602204133, 35.7665471711, 36.0881399675, 36.3632831298, 36.5789495976, 36.9023316975, 37.3120873104, 37.7708043813, 38.2382659746, 38.7083475975, 39.2358324951, 39.8798584792, 40.5947669891, 41.2766466634, 42.3250573144, 43.5282809602, 44.9693438982, 46.9606371658, 50.0808316558};
2445 
2446  const double a3list[101] = {-75.3870348213, -73.5563054743, -71.8586610238, -70.3326010764, -68.8669937325, -67.3652081804, -65.9797869993, -64.6591310991, -63.3595036445, -62.1068621881, -60.8985027736, -59.7042086628, -58.5479728539, -57.4103808438, -56.2930281651, -55.2041741738, -54.1420295685, -53.0987898958, -52.0706872299, -51.0586173069, -50.0667002046, -49.0926497207, -48.1344431455, -47.1933388413, -46.2704158358, -45.3650449971, -44.4772042283, -43.6074103996, -42.7520134632, -41.9084025308, -41.0711187682, -40.2460776811, -39.4347613879, -38.6386667672, -37.8587722914, -37.0898368809, -36.3458764907, -35.6510020946, -34.9947343733, -34.3515708492, -33.7091654129, -33.0750000728, -32.4772646605, -31.9060849394, -31.3624600752, -30.8542478078, -30.364610911, -29.8930785724, -29.4449207659, -29.0043606667, -28.5703691139, -28.171109369, -27.8341554058, -27.6229720264, -27.4766951091, -27.2985750163, -27.1291617273, -27.0061494789, -26.9317625784, -26.8914625991, -26.8788122164, -26.8902006455, -26.9223881792, -26.9631792328, -27.013848345, -27.0865681299, -27.1887211003, -27.3400465839, -27.5181167553, -27.7178394005, -27.9305187037, -28.1507835284, -28.3821145422, -28.6229907203, -28.8672132002, -29.1128371338, -29.36865915, -29.6371071707, -29.922311561, -30.2347674515, -30.5620356831, -30.9022473284, -31.254609498, -31.7001465622, -32.0565827322, -32.3648712883, -32.6103616483, -32.9736989432, -33.4312219324, -33.9418551023, -34.4614297518, -34.9838283376, -35.5674613231, -36.2737268484, -37.0519888454, -37.7923554764, -38.9140097, -40.1981922876, -41.7294871636, -43.8332602049, -47.0600574352};
2447 
2448  const double b1list[101] = {-0.454231789035, -0.453740895324, -0.45114951071, -0.445455559729, -0.44030174389, -0.438246415293, -0.435617386371, -0.430628416274, -0.428155263233, -0.424563996869, -0.421496742404, -0.419542314684, -0.417786543725, -0.416452769889, -0.415181542102, -0.413649756645, -0.411562161412, -0.408719678496, -0.40593475615, -0.403713197659, -0.402947057134, -0.402692696086, -0.401882254635, -0.401361543256, -0.401857592043, -0.403135870926, -0.405023096371, -0.407445456424, -0.410163626113, -0.412943367674, -0.415232607237, -0.417748668538, -0.420844132902, -0.424905043844, -0.429142196414, -0.432959586521, -0.436617400517, -0.440401062979, -0.445048680123, -0.451651705843, -0.457760235328, -0.463733230566, -0.472390233324, -0.480892678638, -0.488468389259, -0.496054924285, -0.505287254412, -0.516712248163, -0.530702320051, -0.543402030632, -0.553376187444, -0.564523083803, -0.576716924164, -0.588673429838, -0.599807622576, -0.6083625871, -0.61629220663, -0.626333930393, -0.638492384934, -0.651370663496, -0.663578126675, -0.675399039036, -0.687337552218, -0.699811934302, -0.712809946825, -0.725971047683, -0.73913751946, -0.752013364118, -0.764774460887, -0.777402692471, -0.789886995534, -0.802209798764, -0.814336203683, -0.826241102491, -0.837954892052, -0.849457493421, -0.860601375162, -0.871314573433, -0.881462999336, -0.890680302818, -0.899437045192, -0.907818061982, -0.915897388877, -0.92305068548, -0.931064125926, -0.939248450894, -0.947470287824, -0.953643840407, -0.957725818058, -0.959847025364, -0.960115447844, -0.959051577361, -0.957073291984, -0.952866371063, -0.945294863841, -0.937774627549, -0.921959850725, -0.901024675728, -0.87472187553, -0.834748962688, -0.733155709571};
2449 
2450  const double b2list[101] = {1.24250927283, 1.23820882351, 1.22814744033, 1.20899501569, 1.19187482987, 1.18459068292, 1.17544439367, 1.16014645984, 1.15217431136, 1.14122006693, 1.13199616785, 1.12640121441, 1.121556275, 1.11826795578, 1.11552355075, 1.11238433978, 1.10807035787, 1.10209548232, 1.09668053255, 1.09318287767, 1.09397420715, 1.09653673342, 1.09802015935, 1.10068222122, 1.10643573897, 1.11470254998, 1.12510511039, 1.13755406941, 1.15120517214, 1.16532741744, 1.17824955526, 1.19205557182, 1.20770493667, 1.22624497606, 1.24563734056, 1.26435121321, 1.28310293005, 1.30265970794, 1.32505082997, 1.35327207812, 1.38087484583, 1.40864740792, 1.44367567593, 1.47847338398, 1.51107248182, 1.54412932876, 1.58210883511, 1.62865620041, 1.68826303807, 1.74233039828, 1.78373725125, 1.82868267503, 1.87681370736, 1.92312517747, 1.9656186804, 1.99785596132, 2.02740592217, 2.06495795508, 2.11055684374, 2.15878076242, 2.20440433139, 2.24836632819, 2.29241478185, 2.33795222667, 2.38484419984, 2.43171272272, 2.47786827853, 2.52194361567, 2.56488422632, 2.60668479559, 2.6474159293, 2.6870781889, 2.72548564593, 2.76255774767, 2.79845498187, 2.83311863463, 2.86593650322, 2.89662455284, 2.9246508029, 2.94855630091, 2.97022227107, 2.98999047671, 3.00814380105, 3.02093394891, 3.03817745817, 3.05662290422, 3.07635559396, 3.08574133623, 3.0854061584, 3.07702110074, 3.06226203175, 3.04321477098, 3.01960302068, 2.98621442345, 2.94157099234, 2.89879486315, 2.82337825218, 2.72933462053, 2.61436316871, 2.4455062038, 2.1171325295};
2451 #endif
2452 #if NEWNSNQC
2453  const unsigned int nsqdim = 126;
2454 
2455  memset( coeffs, 0, sizeof( *coeffs ) );
2456  const double nsetalist[126] = {0., 0.002, 0.004, 0.006, 0.008, 0.01, 0.012, 0.014, 0.016, 0.018, 0.02, 0.022, 0.024, 0.026, 0.028, 0.03, 0.032, 0.034, 0.036, 0.038, 0.04, 0.042, 0.044, 0.046, 0.048, 0.05, 0.052, 0.054, 0.056, 0.058, 0.06, 0.062, 0.064, 0.066, 0.068, 0.07, 0.072, 0.074, 0.076, 0.078, 0.08, 0.082, 0.084, 0.086, 0.088, 0.09, 0.092, 0.094, 0.096, 0.098, 0.1, 0.102, 0.104, 0.106, 0.108, 0.11, 0.112, 0.114, 0.116, 0.118, 0.12, 0.122, 0.124, 0.126, 0.128, 0.13, 0.132, 0.134, 0.136, 0.138, 0.14, 0.142, 0.144, 0.146, 0.148, 0.15, 0.152, 0.154, 0.156, 0.158, 0.16, 0.162, 0.164, 0.166, 0.168, 0.17, 0.172, 0.174, 0.176, 0.178, 0.18, 0.182, 0.184, 0.186, 0.188, 0.19, 0.192, 0.194, 0.196, 0.198, 0.2, 0.202, 0.204, 0.206, 0.208, 0.21, 0.212, 0.214, 0.216, 0.218, 0.22, 0.222, 0.224, 0.226, 0.228, 0.23, 0.232, 0.234, 0.236, 0.238, 0.24, 0.242, 0.244, 0.246, 0.248, 0.25};
2457 
2458  const double a1list[126] = {-12.9867168, -12.3922341, -11.8826575, -11.5044206, -11.2010798, -10.9291101, -10.6867579, -10.4603116, -10.2705936, -10.1096886, -9.94972042, -9.7993101, -9.67017397, -9.54568872, -9.42387643, -9.30374853, -9.19233175, -9.08443818, -8.97983162, -8.87983878, -8.78334655, -8.68874044, -8.5958085, -8.50609937, -8.42033859, -8.3368237, -8.25318119, -8.17059891, -8.0893624, -8.00915281, -7.92946769, -7.85089647, -7.77416021, -7.69874159, -7.6230207, -7.54778069, -7.47506574, -7.40420786, -7.33414965, -7.26472564, -7.19583939, -7.12778746, -7.06152986, -6.9966294, -6.93284618, -6.86298297, -6.78959864, -6.73156524, -6.67432199, -6.61818773, -6.56085433, -6.50488932, -6.45206856, -6.40421195, -6.35784803, -6.3138088, -6.26993274, -6.22465506, -6.18289146, -6.14263195, -6.10558528, -6.07015742, -6.03568352, -6.00473068, -5.97536374, -5.9488801, -5.92520739, -5.89986979, -5.87411946, -5.85174778, -5.83384542, -5.82778792, -5.82798078, -5.8256649, -5.82049035, -5.81770024, -5.81990472, -5.82666469, -5.83577969, -5.84678194, -5.8593275, -5.87380902, -5.88835704, -5.90227283, -5.91692664, -5.93375623, -5.95112447, -5.97214313, -5.99595282, -6.01998938, -6.0451582, -6.07037506, -6.09500227, -6.12087467, -6.1457118, -6.16991637, -6.19524357, -6.21896485, -6.24302387, -6.26778731, -6.29335024, -6.32209441, -6.35041468, -6.37940448, -6.40967178, -6.44669514, -6.4822263, -6.51034108, -6.53379526, -6.5510243, -6.5791139, -6.61538596, -6.65893348, -6.70365878, -6.7474139, -6.79400218, -6.8495302, -6.91475643, -6.98767056, -7.06220586, -7.16459696, -7.29175945, -7.43577701, -7.60975023, -7.86628294, -8.249368};
2459 
2460  const double a2list[126] = {103.047993, 97.488689, 92.7138991, 89.1259949, 86.2216369, 83.5996035, 81.2588265, 79.0565575, 77.1901259, 75.5962053, 74.0126613, 72.5193589, 71.2189287, 69.960102, 68.7278401, 67.5137535, 66.3813558, 65.2852124, 64.2251046, 63.2086791, 62.2258845, 61.2625581, 60.3162743, 59.4001895, 58.5221931, 57.666497, 56.8109787, 55.9670566, 55.1376064, 54.3195185, 53.5077914, 52.7084763, 51.9289985, 51.1641196, 50.3976552, 49.6369195, 48.9014988, 48.184488, 47.4747413, 46.7739132, 46.0794666, 45.3892075, 44.7162594, 44.0576325, 43.4108107, 42.7414687, 42.0328661, 41.4379676, 40.8519633, 40.2763931, 39.6864942, 39.1075193, 38.5558168, 38.0487152, 37.5534784, 37.0855881, 36.6187593, 36.1354218, 35.6891039, 35.2559943, 34.8506441, 34.4544071, 34.0606759, 33.7102444, 33.3728535, 33.0425553, 32.7368071, 32.424474, 32.1183409, 31.8446322, 31.6055987, 31.4663075, 31.3800944, 31.2792375, 31.1629634, 31.0686905, 31.0129002, 30.9902402, 30.9910664, 31.0100087, 31.0447735, 31.096186, 31.1545669, 31.2147854, 31.2846909, 31.3747464, 31.4774613, 31.6133923, 31.7749697, 31.9441796, 32.1267434, 32.3145467, 32.5026478, 32.7052324, 32.9044074, 33.103595, 33.3182241, 33.5238512, 33.7360635, 33.9573682, 34.1872127, 34.4454878, 34.7018803, 34.9661177, 35.2447179, 35.576539, 35.8979802, 36.1672599, 36.4055123, 36.592871, 36.8680094, 37.2087221, 37.6092315, 38.0164539, 38.4141907, 38.8351392, 39.3247457, 39.8822802, 40.4926366, 41.1147783, 41.9315173, 42.9304965, 44.0528309, 45.3955045, 47.3274085, 50.0808317};
2461 
2462  const double a3list[126] = {-112.067972, -105.543106, -99.9455353, -95.7264397, -92.3043493, -89.2092924, -86.4492519, -83.8470286, -81.6361633, -79.7483937, -77.874168, -76.1068934, -74.5632033, -73.0674934, -71.6039815, -70.1633203, -68.8189591, -67.519153, -66.2647734, -65.0620239, -63.8992811, -62.7604276, -61.6423525, -60.5597465, -59.5224349, -58.5119795, -57.5024912, -56.5074902, -55.53044, -54.5676408, -53.6130924, -52.6741387, -51.759812, -50.8637645, -49.9665188, -49.0765995, -48.2171201, -47.379661, -46.5505356, -45.7333476, -44.9242629, -44.118089, -43.3322908, -42.5639012, -41.8098449, -41.043258, -40.2287372, -39.5338046, -38.8499135, -38.1781038, -37.4888781, -36.8113298, -36.1641156, -35.5671876, -34.9832785, -34.4326665, -33.8826254, -33.3121583, -32.7856761, -32.2743216, -31.7933477, -31.3201055, -30.8470575, -30.4267354, -30.0203142, -29.6142881, -29.2352514, -28.8518367, -28.478952, -28.1429549, -27.8435553, -27.6538903, -27.5225161, -27.3767334, -27.2165867, -27.0811087, -26.986459, -26.9258851, -26.8924026, -26.8792128, -26.8840645, -26.9066881, -26.939216, -26.976347, -27.0248923, -27.0956124, -27.1838684, -27.3095255, -27.4637058, -27.6286706, -27.8094514, -27.9976633, -28.1882304, -28.3957603, -28.6018695, -28.8099936, -29.0365609, -29.2555204, -29.4831745, -29.7220365, -29.9712378, -30.2520714, -30.5319354, -30.8213449, -31.1276025, -31.4916256, -31.8453217, -32.1448723, -32.4128347, -32.6260766, -32.9352624, -33.3159744, -33.762117, -34.2149428, -34.6570779, -35.1244967, -35.6653064, -36.2763704, -36.9410027, -37.61746, -38.493775, -39.5607747, -40.7566336, -42.1829659, -44.2164331, -47.0600574};
2463 
2464  const double b1list[126] = {-0.0409516519, -0.109149589, -0.18280716, -0.243877638, -0.29427273, -0.337607837, -0.376514835, -0.408102051, -0.430340476, -0.447661929, -0.455696226, -0.455620099, -0.451829661, -0.448183565, -0.444485773, -0.441429709, -0.43796189, -0.435013771, -0.43317134, -0.431090718, -0.428804204, -0.426754544, -0.4248826, -0.422471012, -0.419498947, -0.416391867, -0.413725074, -0.411268992, -0.408996729, -0.407008137, -0.405444696, -0.404208778, -0.403206029, -0.402514117, -0.402371401, -0.402655408, -0.403094271, -0.403632835, -0.404112538, -0.405565386, -0.407338113, -0.407607441, -0.408032297, -0.409123955, -0.410936785, -0.415814407, -0.417806894, -0.420418936, -0.423769675, -0.427415314, -0.431003883, -0.434312853, -0.437542567, -0.440912596, -0.445155727, -0.450792563, -0.456134467, -0.461308333, -0.467704275, -0.475422557, -0.482471914, -0.489063765, -0.496174659, -0.503981188, -0.513338867, -0.525302557, -0.536971352, -0.546967233, -0.555720559, -0.565412016, -0.576313878, -0.586599947, -0.596427341, -0.604860719, -0.611970131, -0.619519476, -0.628821459, -0.639872749, -0.65090668, -0.661411175, -0.671571431, -0.682134421, -0.692764125, -0.703573421, -0.715112958, -0.727369423, -0.738621336, -0.749657644, -0.761066387, -0.77191596, -0.782873523, -0.793717364, -0.804225625, -0.815026186, -0.825216179, -0.835238792, -0.845945128, -0.855787288, -0.865303002, -0.874495405, -0.883003789, -0.891163975, -0.898663309, -0.905882454, -0.91320713, -0.919704848, -0.926061344, -0.933262667, -0.940928324, -0.947831369, -0.953153169, -0.95693697, -0.959330857, -0.960185331, -0.959843982, -0.958686944, -0.956619418, -0.952843922, -0.946447305, -0.939771599, -0.928224314, -0.911651306, -0.891719944, -0.867854188, -0.82502669, -0.73315571};
2465 
2466  const double b2list[126] = {-0.00166722842, 0.222250337, 0.448252485, 0.63206119, 0.781799547, 0.910224883, 1.02375301, 1.1157851, 1.17923771, 1.22659824, 1.24771432, 1.24548805, 1.2320439, 1.2192957, 1.2064752, 1.19588522, 1.18435194, 1.17453472, 1.16812456, 1.16113472, 1.15387353, 1.14747797, 1.14166252, 1.13468889, 1.12673472, 1.11873428, 1.11191795, 1.10593347, 1.10080563, 1.09667658, 1.09370713, 1.09190117, 1.09129942, 1.09194833, 1.0939851, 1.09725207, 1.1015065, 1.10645069, 1.11139159, 1.11928716, 1.12839242, 1.13375028, 1.14006609, 1.14868099, 1.15958421, 1.18126715, 1.19236439, 1.20564444, 1.22112152, 1.23765157, 1.25462197, 1.27123058, 1.28793848, 1.30524443, 1.32551845, 1.34960096, 1.37341634, 1.39766424, 1.4249208, 1.45597978, 1.48516877, 1.51368441, 1.5446322, 1.5767945, 1.61477856, 1.66514258, 1.71502079, 1.75728168, 1.79328757, 1.83222422, 1.87523717, 1.91514764, 1.95277569, 1.98471429, 2.01131332, 2.03946121, 2.07428419, 2.11572946, 2.15704477, 2.19631812, 2.23416378, 2.27326935, 2.3122869, 2.35158306, 2.39309063, 2.43665605, 2.47607718, 2.51394563, 2.55248145, 2.58860308, 2.62460385, 2.65980703, 2.6935071, 2.72765112, 2.75939003, 2.79018574, 2.82260365, 2.85186527, 2.87952241, 2.90554772, 2.92874698, 2.94977991, 2.96834961, 2.98551006, 3.0023529, 3.01499219, 3.02720026, 3.04304093, 3.06075921, 3.07707208, 3.08528399, 3.08627843, 3.08073147, 3.06990182, 3.05552041, 3.03783353, 3.0153212, 2.98607118, 2.94810984, 2.90941344, 2.85250477, 2.77660316, 2.68817051, 2.58115094, 2.4104722, 2.11713253};
2467 #endif
2468 
2469  /* Stuff for interpolating the NQC data */
2470  gsl_spline *spline = NULL;
2471  gsl_interp_accel *acc = NULL;
2472  /* Interpolate nonspin NQC data in the mass ratio dimension */
2473  spline = gsl_spline_alloc( gsl_interp_cspline, nsqdim );
2474  acc = gsl_interp_accel_alloc();
2475  gsl_spline_init( spline, nsetalist, a1list, nsqdim );
2476  gsl_interp_accel_reset( acc );
2477  coeffs->a1 = gsl_spline_eval( spline, eta, acc );
2478  gsl_spline_init( spline, nsetalist, a2list, nsqdim );
2479  gsl_interp_accel_reset( acc );
2480  coeffs->a2 = gsl_spline_eval( spline, eta, acc );
2481  gsl_spline_init( spline, nsetalist, a3list, nsqdim );
2482  gsl_interp_accel_reset( acc );
2483  coeffs->a3 = gsl_spline_eval( spline, eta, acc );
2484  gsl_spline_init( spline, nsetalist, b1list, nsqdim );
2485  gsl_interp_accel_reset( acc );
2486  coeffs->b1 = gsl_spline_eval( spline, eta, acc );
2487  gsl_spline_init( spline, nsetalist, b2list, nsqdim );
2488  gsl_interp_accel_reset( acc );
2489  coeffs->b2 = gsl_spline_eval( spline, eta, acc );
2490  gsl_spline_free(spline);
2491  gsl_interp_accel_free(acc);
2492  /* Andrea and I have different sign conventions, so I need to put a minus sign in front */
2493  coeffs->b1 = - coeffs->b1;
2494  coeffs->b2 = - coeffs->b2;
2495 
2496  REAL8 dM = fabs(m1 - m2)/(m1+m2);
2497  REAL8 chiA = chiAin;
2498  if ( m2 > m1 )
2499  {
2500  chiA = -chiA;
2501  }
2502  REAL8 chi = a / ( 1.0 - 2.0 * eta );
2503  REAL8 chiAmax, chiAmed, chiAmin;
2504  REAL8 cmax, cmed, cmin;
2505  REAL8 nqcmax, nqcmed, nqcmin;
2506  EOBNonQCCoeffs chiAmaxCoeffs;
2507  EOBNonQCCoeffs chiAmedCoeffs;
2508  EOBNonQCCoeffs chiAminCoeffs;
2509 
2510  XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmax( &chiAmaxCoeffs, l, m, eta, a );
2511  XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmed( &chiAmedCoeffs, l, m, eta, a );
2512  XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmin( &chiAminCoeffs, l, m, eta, a );
2513 
2514  if ( eta < 1.0e-15 ) {
2515  chiAmax = (chi + 1.0) / 2.0;
2516  chiAmin = (chi - 1.0) / 2.0;
2517  }
2518  else {
2519  if ( chi <= 0 ) {
2520  chiAmax = (1.+chi) * (1.-2.*eta) / (1.+dM-2.*eta);
2521  if ( (1.+dM-2.*eta+2.*chi*(1.-2.*eta))/(1.-dM-2.*eta) < 1. ) {
2522  chiAmin = -(1.+chi) * (1.-2.*eta) / (1.-dM-2.*eta);
2523  }
2524  else {
2525  chiAmin = -(1.-chi) * (1.-2.*eta) / (1.+dM-2.*eta);
2526  }
2527  }
2528  else {
2529  chiAmin = -(1.-chi) * (1.-2.*eta) / (1.+dM-2.*eta);
2530  if ( -(1.+dM-2.*eta-2.*chi*(1.-2.*eta))/(1.-dM-2.*eta) > -1. ) {
2531  chiAmax = (1.-chi) * (1.-2.*eta) / (1.-dM-2.*eta);
2532  }
2533  else {
2534  chiAmax = (1.+chi) * (1.-2.*eta) / (1.+dM-2.*eta);
2535  }
2536  }
2537  }
2538  chiAmed = (chiAmax + chiAmin) / 2.0;
2539 
2540  if ( chiAmax < 1.0e-15 )
2541  {
2542  cmax = 1.0;
2543  cmed = 0.0;
2544  cmin = 0.0;
2545  }
2546  else
2547  {
2548  cmax = (chiA-chiAmed) * (chiA-chiAmin) / (chiAmax-chiAmed) / (chiAmax-chiAmin);
2549  cmed = -(chiA-chiAmax) * (chiA-chiAmin) / (chiAmax-chiAmed) / (chiAmed-chiAmin);
2550  cmin = (chiA-chiAmax) * (chiA-chiAmed) / (chiAmax-chiAmin) / (chiAmed-chiAmin);
2551  }
2552  /*printf( "chi = %f\n",chi );
2553  printf( "cAmax = %f, cAmed = %f, cAmin = %f, cA = %f\n", chiAmax, chiAmed, chiAmin, chiA );
2554  printf( "cmax = %f, cmed = %f, cmin = %f\n", cmax, cmed, cmin );*/
2555 
2556  nqcmax = chiAmaxCoeffs.a3S;
2557  nqcmed = chiAmedCoeffs.a3S;
2558  nqcmin = chiAminCoeffs.a3S;
2559  coeffs->a3S = cmax*nqcmax + cmed*nqcmed + cmin*nqcmin;
2560  //printf( "a3max = %f, a3med = %f, a3min = %f, a3 = %f\n",
2561  // nqcmax, nqcmed, nqcmin, coeffs->a3S );
2562  nqcmax = chiAmaxCoeffs.a4;
2563  nqcmed = chiAmedCoeffs.a4;
2564  nqcmin = chiAminCoeffs.a4;
2565  coeffs->a4 = cmax*nqcmax + cmed*nqcmed + cmin*nqcmin;
2566  //printf( "a4max = %f, a4med = %f, a4min = %f, a4 = %f\n",
2567  // nqcmax, nqcmed, nqcmin, coeffs->a4 );
2568  nqcmax = chiAmaxCoeffs.a5;
2569  nqcmed = chiAmedCoeffs.a5;
2570  nqcmin = chiAminCoeffs.a5;
2571  coeffs->a5 = cmax*nqcmax + cmed*nqcmed + cmin*nqcmin;
2572  //printf( "a5max = %f, a5med = %f, a5min = %f, a5 = %f\n",
2573  // nqcmax, nqcmed, nqcmin, coeffs->a5 );
2574 
2575  /*coeffs->a3S = 1775.87095769;
2576  coeffs->a4 = -5737.3899946;
2577  coeffs->a5 = 4641.54406645;
2578  coeffs->a3S = 5665.39993599;
2579  coeffs->a4 = -18576.8784995;
2580  coeffs->a5 = 15237.7821969;*/
2581  /*coeffs->a3S = 10322.2486021;
2582  coeffs->a4 = -32666.5282038;
2583  coeffs->a5 = 25854.6695187;*/
2584  /*coeffs->a3S = 10319.795279;
2585  coeffs->a4 = -32671.950978;
2586  coeffs->a5 = 25869.632474;*/
2587  /*coeffs->a3S = -145.193303874;
2588  coeffs->a4 = 322.844528702;
2589  coeffs->a5 = -157.092596165;*/
2590  /*coeffs->a3S = 2278.91726941;
2591  coeffs->a4 = -7128.39166422;
2592  coeffs->a5 = 5583.15077297;*/
2593 
2594  nqcmax = chiAmaxCoeffs.b3;
2595  nqcmed = chiAmedCoeffs.b3;
2596  nqcmin = chiAminCoeffs.b3;
2597  coeffs->b3 = cmax*nqcmax + cmed*nqcmed + cmin*nqcmin;
2598  //printf( "b3max = %f, b3med = %f, b3min = %f, b3 = %f\n",
2599  // nqcmax, nqcmed, nqcmin, coeffs->b3 );
2600  nqcmax = chiAmaxCoeffs.b4;
2601  nqcmed = chiAmedCoeffs.b4;
2602  nqcmin = chiAminCoeffs.b4;
2603  coeffs->b4 = cmax*nqcmax + cmed*nqcmed + cmin*nqcmin;
2604  //printf( "b4max = %f, b4med = %f, b4min = %f, b4 = %f\n",
2605  // nqcmax, nqcmed, nqcmin, coeffs->b4 );
2606  //coeffs->b3 = 2447.71718687;
2607  //coeffs->b4 = -3916.34664737;
2608  // coeffs->b3 = 80437.4825363;
2609  // coeffs->b4 = -124963.109912;
2610  // coeffs->b3 = 80675.052985;
2611  // coeffs->b4 = -125321.741652;
2612  /*coeffs->b3 = 422.973992013;
2613  coeffs->b4 = -655.437950088;*/
2614  return XLAL_SUCCESS;
2615 }
XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmed
static UNUSED int XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmed(EOBNonQCCoeffs *restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a)
Definition: LALSimIMREOBNQCTables.c:1248
XLALSimIMRGetEOBCalibratedSpinNQC
static UNUSED int XLALSimIMRGetEOBCalibratedSpinNQC(EOBNonQCCoeffs *restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a)
More recent versions of the EOB models, such as EOBNRv2 and SEOBNRv1, utilise a non-quasicircular cor...
Definition: LALSimIMREOBNQCTables.c:52
XLALSimIMRGetEOBCalibratedSpinNQC3D
static UNUSED int XLALSimIMRGetEOBCalibratedSpinNQC3D(EOBNonQCCoeffs *restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 m1, REAL8 m2, REAL8 a, REAL8 chiAin)
Function to 3D-interpolate known amplitude NQC coeffcients of spin terms for SEOBNRv2,...
Definition: LALSimIMREOBNQCTables.c:2424
XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmin
static UNUSED int XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmin(EOBNonQCCoeffs *restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a)
Definition: LALSimIMREOBNQCTables.c:1829
XLALSimIMRGetEOBCalibratedSpinNQCv2
static UNUSED int XLALSimIMRGetEOBCalibratedSpinNQCv2(EOBNonQCCoeffs *restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a)
Function to interpolate known amplitude NQC coeffcients of spin terms for SEOBNRv2,...
Definition: LALSimIMREOBNQCTables.c:369
XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmax
static UNUSED int XLALSimIMRGetEOBCalibratedSpinNQCv2chiAmax(EOBNonQCCoeffs *restrict coeffs, INT4 UNUSED l, INT4 UNUSED m, REAL8 eta, REAL8 a)
Definition: LALSimIMREOBNQCTables.c:667
l
int l
Definition: bh_qnmode.c:135
i
double i
Definition: bh_ringdown.c:118
REAL8
double REAL8
UINT4
uint32_t UINT4
INT4
int32_t INT4
m
static const INT4 m
a
static const INT4 a
XLAL_SUCCESS
XLAL_SUCCESS
EOBNonQCCoeffs
The coefficients which are used in calculating the non-quasicircular correction to the EOBNRv2 model.
Definition: LALSimIMREOBNRv2.h:467