{'Lhash': '460215761046573453227963515903,868057171432521837666236805706,1549702762963501151664881270813,1771242786600646103207168524486,1851200314314834922806773114167,2147067966341954634656209661024,2477564547336026351160644447876,2594772275505568175994564332854,3622109061484083202855840883417,4194090470825440020631973559470', 'a10': 0, 'a2': 0, 'a3': -3, 'a4': 2, 'a5': 0, 'a6': 0, 'a7': 2, 'a8': 2, 'a9': 10, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13854.940974815514, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [1]], [13, [1, -10, 60, -263, 1076, -3957, 13988, -44447, 131820, -285610, 371293]]], 'bad_primes': [5, 13], 'central_character': '325.1', 'coefficient_field': '1.1.1.1', 'conductor': 13147210297489166259765625, 'conductor_radical': 65, 'degree': 20, 'euler_factors': [[1, 0, -2, -2, 0, 9, 9, -20, -23, 20, 45, 40, -92, -160, 144, 288, 0, -256, -512, 0, 1024], [1, 3, -1, -20, -26, 41, 130, 19, -274, -129, 409, -387, -2466, 513, 10530, 9963, -18954, -43740, -6561, 59049, 59049], [1], [1, -2, -12, -8, 97, 281, -260, -1954, -835, 2855, 19063, 19985, -40915, -670222, -624260, 4722767, 11411953, -6588344, -69177612, -80707214, 282475249], [1, 3, -29, -38, 576, -3, -7311, 6832, 74554, -49384, -752787, -543224, 9021034, 9093392, -107040351, -483153, 1020419136, -740512498, -6216407549, 7073843073, 25937424601], [1, -10, 60, -263, 1076, -3957, 13988, -44447, 131820, -285610, 371293], [1, 4, -33, -158, 411, 2612, -4681, -45867, 1590, 464191, 1440069, 7891247, 459510, -225344571, -390961801, 3708666484, 9920540859, -64833510334, -230199995553, 474351505988, 2015993900449], [1, -4, -71, 194, 3329, -5754, -110903, 98987, 2917208, -788473, -61357653, -14980987, 1053112088, 678951833, -14452989863, -14247473646, 156615737849, 173411117366, -1205832975911, -1290750791116, 6131066257801], [1, 15, 82, 51, -1455, -4488, 18491, 99225, -338668, -4764405, -26762865, -109581315, -179155372, 1207270575, 5174539931, -28886307384, -215392218495, 173646097797, 6421500793042, 27017289921945, 41426511213649], [1, -1, -79, -146, 3192, 11779, -67556, -384403, 890654, 4091745, -7513779, 118660605, 749040014, -9375204767, -47781075236, 241600824071, 1898676040632, -2518481941114, -39519466623919, -14507145975869, 420707233300201], [1, 0, 196, -58, 19212, -8830, 1240273, -642678, 58197790, -29213300, 2064436353, -905612300, 55928076190, -19146020298, 1145418161233, -252795403330, 17050720719372, -1595731618438, 167166643338436, 0, 819628286980801], [1, 17, 51, -502, -372, 37861, 106407, -1104416, -5601148, 10960902, 176313507, 405553374, -7667971612, -55941983648, 199423849527, 2625431555977, -954450224148, -47655802320766, 179136452149971, 2209349576516309, 4808584372417849], [1, 6, -95, -384, 6327, 16770, -184789, -272397, 682286, 2994381, 158651253, 122769621, 1146922766, -18773873637, -522169549429, 1942908490770, 30053909532807, -74785641170304, -758567896766495, 1964291606363766, 13422659310152401], [1, 12, -17, -1046, -4829, 18006, 201631, 424281, -166530, -8309917, -106017329, -357326431, -307913970, 33733309467, 689336264431, 2647034024658, -30525862163621, -284322267217922, -198699404719217, 6031111343242116, 21611482313284249], [1, 24, 574, 9050, 131625, 1564668, 17091801, 162432260, 1426688920, 11144731054, 80789503263, 523802359538, 3151555824280, 16864204529980, 83402536595481, 358848793412676, 1418814217679625, 4584939240190150, 13667678543850814, 26859131354466408, 52599132235830049], [1, -16, 360, -5202, 70840, -827910, 8873881, -85670898, 767302102, -6234367896, 47765603005, -330421498488, 2155351604518, -12754426281546, 70019189426761, -346228230609630, 1570123342378360, -6110847349432074, 22413488548089960, -52796217468834128, 174887470365513049], [1, -12, -64, 738, 5664, -9081, -336339, -2403693, 23185887, 87777036, -1346009523, 5178845124, 80710072647, -493668064647, -4075541081379, -6492227559219, 238910542542624, 1836624795796422, -9397148006676544, -103955949823859268, 511116753300641401], [1, 5, -233, -770, 32534, 66025, -3312205, -3580430, 267548612, 86879620, -17862005833, 5299656820, 995548385252, -812689581830, -45860263789405, 55764470773525, 1676163859460774, -2419911983736170, -44667803928366473, 58470730464170705, 713342911662882601], [1, -16, 52, 292, -5179, 79117, -447406, -998192, 21597155, -259219709, 2885084279, -17367720503, 96949628795, -300219220496, -9015732442126, 106817848090519, -468483961253251, 1769727788754316, 21115519232945332, -435304550340719152, 1822837804551761449], [1, 19, 13, -1414, -468, 62551, -611944, -7048209, 20077850, 215658713, -492609879, 15311768623, 101212441850, -2522631531399, -15550525717864, 112856350134401, -59950932875028, -12860499903964874, 8394795906194893, 871121513650531589, 3255243551009881201], [1, 16, 556, 6628, 138310, 1355050, 21700050, 182641092, 2434430397, 17870802926, 204427402421, 1304568613598, 12973079585613, 71050489686564, 616243249612050, 2809115662094650, 20931036838031590, 73222157384574916, 448391811093109036, 941945387332286608, 4297625829703557649], [1, 28, 796, 14548, 260362, 3680098, 50574318, 587393268, 6622303989, 64844383118, 616222982693, 5122706266322, 41329799195349, 289607789461452, 1969873782619758, 11323869099847102, 63290736094358602, 279378467930641132, 1207618612685622556, 3355844687513312932, 9468276082626847201], [1, 14, 365, 5938, 99060, 1242880, 17268661, 193270322, 2158927097, 21045178074, 209861984865, 1746749780142, 14872848771233, 110509457605414, 819541656978181, 4895754834371840, 32386713385933140, 161133870776405126, 822086664730749965, 2617163573745565642, 15516041187205853449], [1, -10, -306, 2112, 65305, -271977, -10058402, 21214470, 1225818667, -762210039, -120541083185, -67836693471, 9709709661307, 14955543701430, -631086682358882, -1518735736760673, 32455363206208105, 93416579299357248, -1204596174544836786, -3503564037074852090, 31181719929966183601], [1, 37, 516, 4163, 40703, 282376, -2037243, -34573291, -28158538, -544608903, -24070563673, -52827063591, -264943684042, -31554109216843, -180355658012283, 2424858792410632, 33904459516625087, 336363258282384419, 4044115734698511876, 28128549170218913029, 73742412689492826049], [1, 16, -212, -2956, 44937, 300739, -8876434, -33361416, 1202430095, 2074882817, -123397240149, 209563164517, 12265989399095, -34372300266216, -923685281490034, 3160797114570239, 47701531007557137, -316923210082832156, -2295656215931529812, 17498964362949774416, 110462212541120451001], [1, -46, 1485, -36612, 753240, -13444130, 211701086, -2992715688, 38268483312, -445019410726, 4728280756025, -45836999304778, 405990339457008, -3270221235601176, 23827143737956766, -155854313605188590, 899407951837503960, -4502814196093534044, 18811535708606099085, -60019566456145250818, 134391637934412192049], [1, 39, 502, 2567, 43221, 942582, 7741629, 83129873, 1638415990, 13185533701, 57580805199, 1410852106007, 18758224669510, 101837669009539, 1014769640410029, 13220200154266674, 64863066537265629, 412204105012012981, 8625294622756238902, 71699909284386025773, 196715135728956532249], [1, 22, 961, 16982, 426932, 6256952, 115514033, 1428630242, 21099024689, 221564754542, 2720100956393, 24150558245078, 250677512330009, 1850117593667018, 16305748467973313, 96270962318594648, 716007704521569812, 3104376034970902958, 19148526986642746081, 47781652147730806558, 236736367459211723401], [1, 13, -241, -2890, 35874, 242561, -5486405, -4965266, 839793236, -459254064, -110741787261, -51895709232, 10723319830484, -7164367415602, -894543856627205, 4469029195261873, 74687937173095266, -679902983849521130, -6406850504904501361, 39052545193795487549, 339456738992222314849]], 'euler_factors_factorization': [[[[1, 0, -2, -2, 0, 9, 9, -20, -23, 20, 45, 40, -92, -160, 144, 288, 0, -256, -512, 0, 1024], 1]], [[[1, 3, -1, -20, -26, 41, 130, 19, -274, -129, 409, -387, -2466, 513, 10530, 9963, -18954, -43740, -6561, 59049, 59049], 1]], [1], [[[1, -2, -12, -8, 97, 281, -260, -1954, -835, 2855, 19063, 19985, -40915, -670222, -624260, 4722767, 11411953, -6588344, -69177612, -80707214, 282475249], 1]], [[[1, 3, -29, -38, 576, -3, -7311, 6832, 74554, -49384, -752787, -543224, 9021034, 9093392, -107040351, -483153, 1020419136, -740512498, -6216407549, 7073843073, 25937424601], 1]], [[[1, -10, 60, -263, 1076, -3957, 13988, -44447, 131820, -285610, 371293], 1]], [[[1, 4, -33, -158, 411, 2612, -4681, -45867, 1590, 464191, 1440069, 7891247, 459510, -225344571, -390961801, 3708666484, 9920540859, -64833510334, -230199995553, 474351505988, 2015993900449], 1]], [[[1, -4, -71, 194, 3329, -5754, -110903, 98987, 2917208, -788473, -61357653, -14980987, 1053112088, 678951833, -14452989863, -14247473646, 156615737849, 173411117366, -1205832975911, -1290750791116, 6131066257801], 1]], [[[1, 15, 82, 51, -1455, -4488, 18491, 99225, -338668, -4764405, -26762865, -109581315, -179155372, 1207270575, 5174539931, -28886307384, -215392218495, 173646097797, 6421500793042, 27017289921945, 41426511213649], 1]], [[[1, -1, -79, -146, 3192, 11779, -67556, -384403, 890654, 4091745, -7513779, 118660605, 749040014, -9375204767, -47781075236, 241600824071, 1898676040632, -2518481941114, -39519466623919, -14507145975869, 420707233300201], 1]], [[[1, 0, 98, -29, 4804, -1573, 148924, -27869, 2919518, 0, 28629151], 2]], [[[1, 17, 51, -502, -372, 37861, 106407, -1104416, -5601148, 10960902, 176313507, 405553374, -7667971612, -55941983648, 199423849527, 2625431555977, -954450224148, -47655802320766, 179136452149971, 2209349576516309, 4808584372417849], 1]], [[[1, 6, -95, -384, 6327, 16770, -184789, -272397, 682286, 2994381, 158651253, 122769621, 1146922766, -18773873637, -522169549429, 1942908490770, 30053909532807, -74785641170304, -758567896766495, 1964291606363766, 13422659310152401], 1]], [[[1, 12, -17, -1046, -4829, 18006, 201631, 424281, -166530, -8309917, -106017329, -357326431, -307913970, 33733309467, 689336264431, 2647034024658, -30525862163621, -284322267217922, -198699404719217, 6031111343242116, 21611482313284249], 1]], [[[1, 12, 215, 1945, 19360, 131839, 909920, 4296505, 22321945, 58556172, 229345007], 2]], [[[1, -8, 148, -1417, 13132, -99183, 695996, -3980353, 22033796, -63123848, 418195493], 2]], [[[1, -12, -64, 738, 5664, -9081, -336339, -2403693, 23185887, 87777036, -1346009523, 5178845124, 80710072647, -493668064647, -4075541081379, -6492227559219, 238910542542624, 1836624795796422, -9397148006676544, -103955949823859268, 511116753300641401], 1]], [[[1, 5, -233, -770, 32534, 66025, -3312205, -3580430, 267548612, 86879620, -17862005833, 5299656820, 995548385252, -812689581830, -45860263789405, 55764470773525, 1676163859460774, -2419911983736170, -44667803928366473, 58470730464170705, 713342911662882601], 1]], [[[1, -16, 52, 292, -5179, 79117, -447406, -998192, 21597155, -259219709, 2885084279, -17367720503, 96949628795, -300219220496, -9015732442126, 106817848090519, -468483961253251, 1769727788754316, 21115519232945332, -435304550340719152, 1822837804551761449], 1]], [[[1, 19, 13, -1414, -468, 62551, -611944, -7048209, 20077850, 215658713, -492609879, 15311768623, 101212441850, -2522631531399, -15550525717864, 112856350134401, -59950932875028, -12860499903964874, 8394795906194893, 871121513650531589, 3255243551009881201], 1]], [[[1, 8, 246, 1346, 28129, 121377, 2053417, 7172834, 95698182, 227185928, 2073071593], 2]], [[[1, 14, 300, 3074, 42145, 327819, 3329455, 19184834, 147911700, 545301134, 3077056399], 2]], [[[1, 7, 158, 1863, 24007, 159037, 1992581, 12834207, 90342346, 332208247, 3939040643], 2]], [[[1, -10, -306, 2112, 65305, -271977, -10058402, 21214470, 1225818667, -762210039, -120541083185, -67836693471, 9709709661307, 14955543701430, -631086682358882, -1518735736760673, 32455363206208105, 93416579299357248, -1204596174544836786, -3503564037074852090, 31181719929966183601], 1]], [[[1, 37, 516, 4163, 40703, 282376, -2037243, -34573291, -28158538, -544608903, -24070563673, -52827063591, -264943684042, -31554109216843, -180355658012283, 2424858792410632, 33904459516625087, 336363258282384419, 4044115734698511876, 28128549170218913029, 73742412689492826049], 1]], [[[1, 16, -212, -2956, 44937, 300739, -8876434, -33361416, 1202430095, 2074882817, -123397240149, 209563164517, 12265989399095, -34372300266216, -923685281490034, 3160797114570239, 47701531007557137, -316923210082832156, -2295656215931529812, 17498964362949774416, 110462212541120451001], 1]], [[[1, -23, 478, -7312, 94202, -1060283, 9702806, -77573008, 522323506, -2588670263, 11592740743], 2]], [[[1, 39, 502, 2567, 43221, 942582, 7741629, 83129873, 1638415990, 13185533701, 57580805199, 1410852106007, 18758224669510, 101837669009539, 1014769640410029, 13220200154266674, 64863066537265629, 412204105012012981, 8625294622756238902, 71699909284386025773, 196715135728956532249], 1]], [[[1, 11, 420, 3871, 82685, 593121, 9012665, 45991351, 543912180, 1552739771, 15386239549], 2]], [[[1, 13, -241, -2890, 35874, 242561, -5486405, -4965266, 839793236, -459254064, -110741787261, -51895709232, 10723319830484, -7164367415602, -894543856627205, 4469029195261873, 74687937173095266, -679902983849521130, -6406850504904501361, 39052545193795487549, 339456738992222314849], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'id': 9921482, 'index': 2, 'label': '20-325e10-1.1-c1e10-0-2', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/325/2/e/c', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0125', 'prec': 20}, 'plot_values': [2.5034698172255436, 2.5096963846921914, 2.5059693119531294, 2.492759771104879, 2.47056349799514, 2.4398938920144926, 2.401275940429284, 2.3552409575601283, 2.3023221185160123, 2.2430507588579824, 2.177953405318881, 2.107447452606668, 2.0315435781007585, 1.9501703873680831, 1.8632820046849792, 1.7708615127983154, 1.6729246275012735, 1.5695236004256345, 1.4607513395253766, 1.3467457321663703, 1.2276941504995733, 1.1038634300495676, 0.9756781200378504, 0.8436437783780806, 0.70832308536521, 0.5703374349025925, 0.43036814227782055, 0.28915721289782925, 0.1475076141161249, 0.006282990437292883, -0.13359323894709493, -0.2711389532125416, -0.4053120318581142, -0.5350119295302399, -0.6590850250236796, -0.7763312127591797, -0.8855117148203953, -0.9853581524222499, -1.074582902498333, -1.1518907497689932, -1.2159918271388594, -1.265613712465009, -1.2995145598600406, -1.3165139406525566, -1.3155153849958838, -1.2955266020991685, -1.2556801523724208, -1.1952543044983732, -1.1136937779064922, -1.0106300401142851, -0.8859007996968861, -0.7395726694711763, -0.5719751057084582, -0.38370911397342927, -0.1756555184671584, 0.05101688297317504, 0.29484704855632865, 0.5540817297025572, 0.8266801980042181, 1.1103239917260643, 1.4024319467148285, 1.7001734079112993, 2.0004722048108947, 2.3000611395306074, 2.5955292738371813, 2.883367421718333, 3.1600184489656193, 3.421931745073556, 3.665621089123907, 3.8877249921848636, 4.085068467914863, 4.2547241116209245, 4.394074502694201, 4.500881357187653, 4.573342490206902, 4.610140832033875, 4.610486000196703, 4.574147038882668, 4.5014750527945795, 4.39341462029196, 4.251503069958028, 4.077865017810512, 3.8752107116516745, 3.646771368174421, 3.3962341062746697, 3.127672102028197, 2.8454635223408054, 2.5542008207659332, 2.2585923342542316, 1.9633584432517392, 1.6731248374392098, 1.3923232257164013, 1.1251039556923565, 0.8752041552926199, 0.6458492241419959, 0.43967636037538066, 0.258673761063304, 0.10413776251059903, -0.023350279708271762, -0.12392612318218722, -0.19842316107544916, -0.2483308158182205, -0.27573448660482563, -0.28323999896289814, -0.27387220282270863, -0.25095825604724786, -0.2180012461369805, -0.1785485809938587, -0.13605992304380635, -0.09377962271164296, -0.054618610131953266, -0.0210508609212659, 0.004972171345221667, 0.02208760761435275, 0.029558179301407358, 0.02727996214134253, 0.015760799768043402, -0.003929981504248773, -0.030238673011427186, -0.06122793331253779, -0.09469682452754481, -0.1283147167785374, -0.15976423849007457, -0.186886253560298, -0.20781565089159804, -0.2211014654437039, -0.22580463367055348, -0.221567279091283, -0.2086486522518068, -0.18792439699590874, -0.16084762915658635, -0.1293736700365536, -0.0958510239330337, -0.06287152367293958, -0.03310075993581112, -0.00909664249328738, 0.006874761080405791, 0.013014565257610468, 0.008145739006713199, -0.008164382520527308, -0.0355241930971099, -0.07268807530591052, -0.11758176546045371, -0.16739743650031097, -0.2187496090240945, -0.2678854688217328, -0.31094084879324413, -0.3442281760861907, -0.3645389450031813, -0.369440139028294, -0.35754172712720683, -0.3287129517479153, -0.2842262426455662, -0.2267879599907169, -0.16044724061618432, -0.09037074658140101, -0.02247471098813, 0.0370853384687584, 0.0825581496229982, 0.10935533633472952, 0.11489729175495385, 0.09951051911647611, 0.0673329822264665, 0.02715934533844533, -0.006832137063455304, -0.014526968589662972, 0.030444969933895467, 0.16074107480256847, 0.4150032898463563, 0.8371854429292194, 1.4754893149595265, 2.3808902712832296, 3.6052261944485102, 5.199010409972829, 7.2089771069932915, 9.675430616627128, 12.629508929520581, 16.09047846503273, 20.06318836438592, 24.53581880897422, 29.478058301495803, 34.83988125479384, 40.55120168721049, 46.52219095515331, 52.64440901683203, 58.79282339514803, 64.82868577134538, 70.60321583707632, 75.962001479887, 80.74998493053977, 84.81686810338384, 88.02313750008265, 90.24708952909768, 91.38930125187387, 91.376982763109, 90.16788136657267, 87.75318687500022, 84.15926208627118, 79.44806602813388, 73.71618967236112, 67.0924824978591, 59.734824250122784, 51.82641537857165, 43.56759638758605, 35.16811264833236, 26.839443724073146, 18.786966168095713, 11.202295388213912, 4.256153342573994, -1.9079067516760446, -7.17861974361976, -11.480666058759681, -14.776886289379064, -17.069175592803376, -18.396964632844874, -18.833867090392843, -18.482801123578202, -17.469836664425763, -15.937086970369664, -14.035013932030893, -11.914549236789552, -9.719516242334448, -7.579726054986044, -5.604576879358615, -3.8783156638752074, -2.4570378731341855, -1.3674674871765982, -0.6075496668944311, -0.1487838789291629, 0.05987576405287366, 0.08681789258815734, 0.01161335056014796, -0.08172324322158704, -0.1116451250994117, -0.005610646105806732, 0.29419386185085894, 0.8263127768695421, 1.606954139121743, 2.628592834726377, 3.8603305727664337, 5.249983666412602, 6.727770392804334, 8.211446669991105, 9.612428053143292, 10.842387299471197, 11.819898366572186, 12.476650440500418, 12.762781811346604, 12.650940940951394, 12.138766577292202, 11.249585138219633, 10.031341139253385, 8.553869365658398, 6.903868778395797, 5.178743221483004, 3.4796588808723814, 1.9042108720168756, 0.5392237101647936, -0.5457903594252148, -1.3040281954464696, -1.7152321292281016, -1.7876375872427175, -1.557846269041363, -1.0886534549630955, -0.4647983152984143, 0.21301249981777828, 0.8353858963659944, 1.2923304353500227, 1.481588706770114, 1.3166240062055374, 0.73368459097681, -0.3026157241114611, -1.7958482467625518, -3.716510036997621, -6.003000385502049, -8.56486758011479, -11.288116778222541, -14.042229516939589, -16.688423296337128, -19.0885896244159, -21.11429731301138, -22.655643181707617, -23.629881753737, -23.98584715864452, -23.706699605945033, -22.810706910286637, -21.349675628238394, -19.405167822344374, -17.08279431562824, -14.505008253548665, -11.802924548817098, -9.107971130898362, -6.543848142792394, -4.217785279477771, -2.214229261604463, -0.5907109995418239, 0.6241837221941317, 1.430674651582479, 1.8555768607535756, 1.948270674511242, 1.7752325473719952, 1.4136428930844511, 0.9446175490379188, 0.44627223638235136, -0.0124399313931032, -0.376633382283044, -0.6088374155155789, -0.690595059016415, -0.6222764064105091, -0.4212210890525458, -0.1184619433364122, 0.24560393081935092, 0.6261730558152911, 0.9791595949332335, 1.2659194158314562, 1.4571432687575692, 1.535588310015894, 1.4974343557031335, 1.3521883186822463, 1.1212003697836326, 0.8349860473716549, 0.5296590680006639, 0.24282106505670747, 0.00934956682322609, -0.1423716345219091, -0.19343957992391392, -0.13635415059578251, 0.024304525320757314, 0.2724942895366552, 0.5825439555063522, 0.9219974954580592, 1.255171928111451, 1.5471053921439777, 1.7673911465647572, 1.8934281300132556, 1.9127852339612865, 1.8244322427075708, 1.6387057864462715, 1.3760106017629832, 1.064388913537229, 0.7362109024690574, 0.42434651847509935, 0.15819707343247358, -0.04004500812439492, -0.15828418555657706, -0.19629008638122394, -0.1661529146204021, -0.09134498843743556, -0.0044522363931959715, 0.05621959679799736, 0.05083622686747381, -0.057395526212990225, -0.29773864533896827, -0.6880408541384592, -1.2319289034417362, -1.9173833057326402, -2.7168789043887425, -3.589123694765917, -4.48226550019603, -5.338282957937958, -6.098149129722309, -6.70732607417189, -7.121155901798041, -7.309075028454689, -7.257532182882958, -6.971320704760919, -6.473127903364897, -5.801329581279878, -5.006240098981992, -4.145193182152969, -3.27695911926521, -2.4561164430177924, -1.7279521219389244, -1.1242686034080358, -0.6609837692888394, -0.33768185310590976, -0.1391494646195437, -0.038767214653747696, -0.003420951443867839, 0.0005825502755425186, 0.0012437332568200317, 0.014963012800308897, 0.04172579267500659, 0.06202647363563894, 0.035997736446041435, -0.09500480544087941, -0.40435509577914186, -0.9738914494689669, -1.8859174330228388, -3.2141540261283854, -5.014472455002306, -7.316433899294545, -10.117017940614454, -13.376447524156308, -17.01687800573577, -20.9243447725558, -24.953901299819094, -28.937649133460454, -32.695094153258474, -36.045041842067356, -38.81808865960273, -40.86945495161166, -42.092164203108204, -42.42313076491853, -41.846896277076794, -40.3964954792513, -38.15074536000486, -35.22822258399413, -31.778470521801673, -27.971201476399628, -23.98441257110227, -19.992786166429497, -16.157233722864188, -12.613572386253715, -9.46531057742732, -6.779961706586381, -4.588469145293063, -2.8875496398197105, -1.6445131707206189, -0.8039231811191971, -0.29533819351699697, -0.041336289624120205, 0.0349423232803968, 0.00338385889515813, -0.07789034087530669, -0.16535735212941066, -0.23093318807317464, -0.2610105510263941, -0.2540599519874962, -0.21728117296690272, -0.16284791256671552, -0.10428046356051164, -0.05339580055997168, -0.018152956156397983, -0.001628409703581895, -0.0020969992683406, -0.014053027431564105, -0.029891110634809554, -0.04189006493688188, -0.044120665531162014, -0.03393057272311707, -0.012740732447283616, 0.013990795520256404, 0.03762165604387636, 0.047854963434834745, 0.03470076679512717, -0.009449963651270694, -0.08798357855382019, -0.19877503965576207, -0.3337018777812839, -0.4791005120923321, -0.617223884128309, -0.7286734917719393, -0.7950204503844033, -0.8015002411393659, -0.7394329298237157, -0.6079686957868641, -0.4148692960812786, -0.17615311275030582, 0.0854228715130706, 0.34291377584662774, 0.5684792256941187, 0.7371371832451087, 0.8305019736941106, 0.8395414986877333, 0.7661158118652014, 0.6230760730451536, 0.43283530818658644, 0.22451996296841795, 0.030004438299687512, -0.1207041840144102, -0.20414710660525112, -0.20759498107676772, -0.1320886329274772, 0.0063864789144557396, 0.1778132197466303, 0.34115232567739434, 0.44920493542903156, 0.4548311926950531, 0.31782283921890786, 0.01159721755907215, -0.47115701651911823, -1.1146599972577567, -1.8786966554389084, -2.7001963778356997, -3.4977413425852264, -4.178681210302314, -4.648211704285437, -4.819507701217983, -4.6238275033646214, -4.0194473549503575, -2.998248136102523, -1.5886925517439703, 0.1445164553548994, 2.1044274921628907, 4.169326378745925, 6.202998014313325, 8.06677619832309, 9.632174916549806, 10.792803418980165, 11.47431590855475, 11.641758362225872, 11.303780944796653, 10.509738729215899, 9.34371601499843, 7.915726192187434, 6.350598890335476, 4.775741056318896, 3.309061563105289, 2.0483115004844787, 1.062919078187916, 0.3891298936043651, 0.028782332432826824, -0.048226549481558, 0.10215650444231414, 0.40663425413460863, 0.7842998060351125, 1.1564638292360483, 1.4554552317807474, 1.631455125966387, 1.6566978648675257, 1.5267408570565952, 1.2588077208998854, 0.887341146243848, 0.45786506416019873, 0.02004228486351416, -0.37916101912795874, -0.7013398238237679, -0.9208639461425038, -1.0270208778986576, -1.0239670503215792, -0.9286957596507592, -0.7674294177854365, -0.5708338230884931, -0.36920560976046235, -0.18827720854142546, -0.046160902181588255, 0.04821387525922582, 0.0950630717585009, 0.1022537726973628, 0.08271433756189152, 0.05126808955436745, 0.02146504071018148, 0.0029716469828843695, 4.0938021769963545e-05, 0.011272378732661131, 0.03065410108911448, 0.04966251648227218, 0.060007083226262824, 0.05648749367922948, 0.03939595060732507, 0.015957928727331316, 0.0004329103675347681, 0.012711335463428146, 0.07560483411662214, 0.21118772849956516, 0.4367266361135181, 0.7608404202432366, 1.1805376436543258, 1.679684119631528, 2.229269161308057, 2.789681515408485, 3.3150788732845275, 3.7585727758986534, 4.077850572372643, 4.240536590689451, 4.228478101639233, 4.040325747341983, 3.6920033345193954, 3.214952018756468, 2.652349320524835, 2.0538838321159893, 1.4697015110582685, 0.943809986262102, 0.5090331073123789, 0.1839063027914539, -0.028226056180519817, -0.13786207426996763, -0.16604693360957817, -0.1397442560210862, -0.0867028353067442, -0.030736115898023705, 0.01177164670646407, 0.03351957522095248, 0.03569755667082933, 0.025434407942788215, 0.011985790564468581, 0.002691718160013924, -7.522709986258561e-05, 0.0002398364994041919, -0.003296193031756044, -0.015060893194016968, -0.027224858019844943, -0.007391095089541231, 0.1148616159028405, 0.4603780272597532, 1.209308765247459, 2.6040316179305085, 4.944041795618422, 8.57146670554453, 13.846883466482419, 21.116210948004365, 30.67085944330106, 42.706111704325316, 57.28113542178937, 74.28531274113118, 93.41558901605046, 114.1687414169498, 135.85126500422774, 157.6079527061727, 178.46835898181175, 197.4110991337467, 213.44614273795753, 225.685508811373, 233.41176279626688, 236.13795893859748, 233.65093323038585, 226.0334024991336, 213.66226493653667, 197.18276062173632, 177.460505402564, 155.51809704146774, 132.4613428892749, 109.38356255554089, 87.28442016492392, 67.00407915742457, 49.17486156305919, 34.193972616158824, 22.218615155863098, 13.18251689814912, 6.830775388606815, 2.7680042474481783, 0.5138796429719118, -0.43829318010132284, -0.5689103824572512, -0.2905295993153981, 0.07964115566011633, 0.332038593849575, 0.36250584822573473, 0.15783154613165004, -0.2274118905210084, -0.6985854974153212, -1.1492031740760529, -1.48516335247956, -1.6419130990356094, -1.593300715448895, -1.352119319687652, -0.9635682686461428, -0.4937658149397453, -0.01594030825820466, 0.4030252885216992, 0.7134295957966198, 0.8894940523280742, 0.9307616759923127, 0.8585130054458485, 0.7086513288435692, 0.5228116783546909, 0.33960371247530846, 0.18769711874521888, 0.08195557212562846, 0.023126090404268426, 0.0008287482460663911, -0.0010965472332638937, 0.0017174995191024684, -0.00021236203274140592, -0.00679791531529886, -0.008101402093224006, 0.012583306758486403, 0.07286657364378538, 0.18390143889902405, 0.34329433843231527, 0.5301946538678045, 0.7041807808971307, 0.8090347263107629, 0.7814577215561419, 0.5637683277935406, 0.11868128099911622, -0.5564542350724581, -1.4188913892066, -2.3759477832027205, -3.2887383838558923, -3.9854698915269355, -4.28438006828798, -4.020161183093123, -3.0724314100035195, -1.3920525864398314, 0.9795588984483039, 3.9021323162106576, 7.142021359225966, 10.392427552211448, 13.307185333281325, 15.545323307854405, 16.82284355609377, 16.95878827010222, 15.909850046736297, 13.788794878440266, 10.862382093279638, 7.527337673207572, 4.265970768274154, 1.5860631861197325, -0.047720378074262645, -0.2817473353260553, 1.068326183364698, 3.9784393052524742, 8.206411696318094, 13.312786570134886, 18.71045899679987, 23.737534525046314, 27.74424420908108, 30.182223888016473, 30.68346709470799, 29.117680476425345, 25.619308464556617, 20.572627933261717, 14.560139211348037, 8.280636208942578, 2.4475752289893813, -2.317455054312894, -5.57965812356341, -7.158431577606285, -7.154284445511375, -5.9273056481620685, -4.025889304215915, -2.0729966733701986, -0.6233863635301294, -0.011225576120917069, -0.2105220627452241, -0.7311434428010273, -0.5705840898888862, 1.7638748759539284, 8.155899969674799, 20.707375160532195, 41.51231564405093, 72.40013282846424, 114.6727083290767, 168.86668261365136, 234.5705957609673, 310.32227589882956, 393.60449711446984, 480.94713879230267, 568.1328769297585, 650.5198760008938, 723.5063122206819, 782.8622844102783, 825.0566412060565, 847.5503073858032, 849.0062561323973, 829.3961476807884, 789.9940518855288, 733.2589631306315, 662.6188039476415, 582.2031049752536, 496.5526647651084, 410.1445812375613, 327.03266187413965, 250.58279394208216, 183.2922202832876, 126.70250624091804, 81.40580380953125, 47.13462407420753, 22.91767244508945, 7.279387106354411, -1.5442065721709508, -5.394983678057184, -6.003130773270318, -4.844461751171123, -3.053942177317831, -1.3954719386506622, -0.28136089352860405, 0.17003141902708652, 0.05292235087667051, -0.41592268587183345, -0.9823720900643426, -1.423565771400546, -1.5927276716671486, -1.4382092393060204, -0.9990438563522827, -0.3825505516129095, 0.26855632492230275, 0.8116013485508522, 1.1347963712878473, 1.178214966249474, 0.9421720934423709, 0.48267433565594037, -0.10402030185022591, -0.7033132844084744, -1.2057851823713355, -1.5277307780003155, -1.6251134047285776, -1.49887522895888, -1.1913006062014748, -0.7747475754506499, -0.3352939029588315, 0.04473136848294828, 0.3020487097711654, 0.40292566877085395, 0.34723384536192264, 0.16575814629940297, -0.08828093061327735, -0.351518067323932, -0.5639756785648442, -0.6812106053779257, -0.6828206117878369, -0.5753506669535196, -0.38966245686671414, -0.17365982133353253, 0.018040912727093447, 0.13539371422899146, 0.14297662564666552, 0.02695193275840372, -0.20229016154216684, -0.5122558283270711, -0.8550110101862579, -1.1764499345216652, -1.4262868994556512, -1.566973921340369, -1.5799168844161582, -1.46795794552312, -1.2538263038485875, -0.9750180562376093, -0.6762119343155382, -0.40079512931728306, -0.18305600908960154, -0.042268761903757904, 0.01957181237337581, 0.01636440648993765, -0.026587437675184396, -0.07912120938501649, -0.11340604079936918, -0.11027782253381542, -0.06342118157232719, 0.019459652017736702, 0.11875240035274973, 0.20777922829592244, 0.25935182253057515, 0.25268052136401536, 0.17918974026188672, 0.045999622970790126, -0.12372829064572338, -0.29378993794958913, -0.420848365480102, -0.46223998881801714, -0.384129260758489, -0.1683134198895191, 0.18344814491632339, 0.6483607359052486, 1.1850208147970913, 1.738975037045686, 2.2505057200191962, 2.663355914456558, 2.9329488162389814, 3.0330446452898823, 2.9600190824098633, 2.731548543780746, 2.3824521456371635, 1.958462841905815, 1.5088222627853975, 1.0789985744494757, 0.7047211573887089, 0.40821849166751917, 0.19709878669817885, 0.06582335077051772, -0.000808968376570759, -0.02300365851860638, -0.020996744278152717, -0.011026752507549831, -0.0029935187134108423, -6.987504024048163e-05, -8.020653531572962e-05, 0.0019220485606730924, 0.010681649739773235, 0.02822234057298449, 0.0524834744514982, 0.07748895971247757, 0.09499023461168615, 0.09711089496510265, 0.07922003659715991, 0.04214697031318116, -0.007045003273372767, -0.05619574091706033, -0.09110410634748377, -0.09999323771792998, -0.07840713933199267, -0.03323904009928902, 0.015345318617475375, 0.035032644645291634, -0.014041395163856031, -0.17150142420963926, -0.4667697073721988, -0.9086006191935576, -1.4761904026800885, -2.114168881482887, -2.733775360325171, -3.219708040730327, -3.442833582042174, -3.2776557258900927, -2.6222241984409207, -1.4175711176015127, 0.336500589233326, 2.572219261270666, 5.153445303642725, 7.885550552439098, 10.536897902089665, 12.865871941674918, 14.650020207099066, 15.714246842768498, 15.95391952703776, 15.34945339509685, 13.970049465937734, 11.965759914481197, 9.548719070021374, 6.966448922606839, 4.4702723605576296, 2.280141412530612, 0.557490780059641, -0.6119845081905628, -1.2242365014243124, -1.3510036213796859, -1.1234525682232974, -0.7080967099185435, -0.2788300270748233, 0.010603143538557135, 0.04952089124397191, -0.21512269822949234, -0.7745056661422215, -1.5637575572784563, -2.4761907584842557, -3.383152538755402, -4.156021447364549, -4.686763179021005, -4.903914228476837, -4.782244221797668, -4.345313491256743, -3.6570590588090863, -2.808479316910827, -1.9018911636059324, -1.0351226552258321, -0.2881806766735301, 0.28574110147783444, 0.663966552375124, 0.8527926784005168, 0.8816676091970587, 0.7947073393344875, 0.6408265964186521, 0.46482701108637425, 0.3011000724011807, 0.17059572914617752, 0.08098612007324776, 0.029337933628910306, 0.006218418755770818, 4.9773944537642876e-05, 0.0006849277277591759, 0.0015425195808611936, 0.0001022298299455551, -0.0029939470018063084, -0.005628506145475177, -0.0059421027740445085, -0.0034815104979504935, 0.0005832756405774615, 0.004143827582264822, 0.0053613034005411475, 0.003798762852732961, 0.0008559519402116117, -0.0009217799528692079, 0.00032430111419671516, 0.0032306646274496576, 0.0008040890336374589, -0.020821810191811594, -0.08151404410061142, -0.20360236131531742, -0.40580261119042876, -0.6955668750017739, -1.0616948789680414, -1.4694153204110916, -1.8601637082149673, -2.157827025775592, -2.282163519049175, -2.1686430488769455, -1.7922937350729493, -1.1915925669768175, -0.4873421058340225, 0.10886684841750884, 0.30111623462839593, -0.2677935729481571, -1.9770623670235394, -5.175236245179166, -10.120026166259828, -16.918719193036615, -25.47859188000061, -35.476698643733336, -46.356870798654796, -57.363266939508236, -67.62165966228604, -76.2243983975194, -82.3289018207112, -85.25989308268758, -84.59876365426251, -80.24722195707001, -72.45510331197416, -61.80654965594053, -49.164186243321424, -35.58021257634503, -22.181638690826965, -10.018867081689281, 0.05789065759550732, 7.488459672887208, 12.05220294902394, 13.871205152938526, 13.367722041659162, 11.18294107176698, 8.069543785966419, 4.774517361374515, 1.9286994769847348, -0.04237340299819906, -0.9673295412765565, -0.9333925069343656, -0.2485743992195128, 0.6303789962092492, 1.1913410766250945, 0.9656794296504596, -0.3834491025889055, -2.9975341150561774, -6.795289101371803, -11.484336649868316, -16.606938507479885, -21.611106674577, -25.934681147086213, -29.088554134237828, -30.726063717097034, -30.688410723224447, -29.020230160914792, -25.956322194763917, -21.88320804008793, -17.268135118612076, -12.587699572039483, -8.264465526260928, -4.618365924317673, -1.838689290909684, 0.021399633900251024, 1.029657726051109, 1.3438595967559335, 1.1722165277653653, 0.7326059457702954, 0.2169178247862331, -0.2331463274924759, -0.5363077353121416, -0.6689111901367055, -0.6522516122851343, -0.534495347745405, -0.37191543776959496, -0.2134387901284275, -0.09108604715869258, -0.0170709691631507, 0.013283728172925545, 0.014733489247283715, 0.004307363551311897, -0.004977365944558328, -0.0072973468735687014, -0.0037218435399034556, 0.0007832974504246731, 0.0014379930898237934, -0.003049764403869567, -0.009471946701161933, -0.012014502102858203, -0.006487801509346594, 0.0046753562675978825, 0.008809624638683402, -0.017111494608836514, -0.1017978359688957, -0.2701825205759668, -0.5308423322224664, -0.8635393677996007, -1.21122783806029, -1.4799735423074585, -1.549315368139117, -1.29356172787023, -0.611798003335979, 0.5382320355086004, 2.1092620723287205, 3.944480820825647, 5.77560251964452, 7.245521853424372, 7.961263878701378, 7.5607750991398905, 5.788229281401115, 2.56681477937284, -1.9456400234215516, -7.331052795454461, -12.924858124343439, -17.872963667585577, -21.228774708648782, -22.079006131955936, -19.681404331485606, -13.598791611924431, -3.7969047504092948, 9.30876688439343, 24.866618809952662, 41.66503713490882, 58.26341451845604, 73.16167395783131, 84.98521189931334, 92.66543146919993, 95.59681169282538, 93.69012476936963, 87.36239390855971, 77.46486365542668, 65.15523784270086, 51.7345278908669, 38.473763279690345, 26.456674452238786, 16.46115005324539, 8.896237735339966, 3.7986607658388167, 0.883009407106819, -0.3542989973041252, -0.5094172973883271, -0.14995821965988812, 0.28060204899893865, 0.5183435485706734, 0.4880875430087411, 0.269540913640104, 0.03186760353132829, -0.0463777521595762, 0.14749555696373337, 0.6091928015382571, 1.2017734973419136, 1.6783148805426986, 1.7371490308778663, 1.0966801753314497, -0.42758519969650727, -2.8618468754221893, -6.043526482724804, -9.630996082525613, -13.155241945244677, -16.10185087926231, -18.00702650260881, -18.548053086723815, -17.60921296204153, -15.30891186668203, -11.981564676348262, -8.117083350874926, -4.269986042963239, -0.9564824183896032, 1.4411638814531447, 2.7398574089413494, 2.9773088213500114, 2.386093136265607, 1.3262207064977773, 0.1917789457235235, -0.6863400568967087, -1.1176953272809473, -1.0890324391378534, -0.7478337238754463, -0.33173436030325937, -0.05838980774128244, 0.002030297811627029, 0.042848960836144166, 0.5951660877271976, 2.535115888993939, 7.009373286120877, 15.278935155490332, 28.50044105752711, 47.49191385399123, 72.5122546179572, 103.09481438515019, 137.97273353174802, 175.11774480763748, 211.89809286143324, 245.3423400424355, 272.4778972226171, 290.6991015325399, 298.135820782211, 293.9934139196324, 278.60942589507715, 253.3923426723944, 220.64262577923995, 183.2608637231799, 144.3859722543115, 107.0161172772448, 73.66664585511656, 46.11260230548741, 25.25201829486799, 11.098941080389013, 2.89069888959592, -0.679554721270245, -1.173198322520223, -0.11637804555428323, 1.2424512008661788, 2.0916891982063897, 2.1132295597571638, 1.436434347036881, 0.5076011755446481, -0.0935127802945434, 0.14961318480271624, 1.5247998194796355, 3.9882773201031343, 7.142320506288314, 10.295378150476123, 12.59073560458187, 13.176984102422084, 11.386101646277199, 6.883157680961445, -0.24689731856553285, -9.488429905895845, -19.9592442430536, -30.53891519715483, -40.03819507717045, -47.37989063636121, -51.76042799163139, -52.76548143365948, -50.42162619996044, -45.18005991937523, -37.835781474193666, -29.37809922675697, -20.832369898306226, -13.113151718490434, -6.907607306079882, -2.6048559511985783, -0.27814757615919605, 0.28251639734312656, -0.502218054162332, -2.0978444389824253, -3.960261612354629, -5.625549314471711, -6.769715666228208, -7.234188488108914, -7.018324998274337, -6.245768553548596, -5.115140588336529, -3.846822148091226, -2.6365070044657934, -1.6233808537056955, -0.876307133126077, -0.39720671766260507, -0.1391370343894484, -0.031089386311261638, -0.0022462963447188876, -8.725656756072581e-05, 0.0008863825686589627, 0.0002710381720390806, -0.019314416372643688, -0.0792656598157416, -0.1924920818900678, -0.3552238853618732, -0.5451933290885062, -0.7263136850153543, -0.8581667505276241, -0.9073728157220015, -0.8575071077648201, -0.7146928870180489, -0.5071908874488013, -0.2789446504210979, -0.07850063715118376, 0.054012931015864823, 0.09770691904053551, 0.05702923304286777, -0.03837451467835333, -0.1401360811073836, -0.1925634388677943, -0.14636937106961107, 0.028455867272866406, 0.33373093522445696, 0.7408186319345315, 1.1955776833746679, 1.628908552977981, 1.9706752704540984, 2.1639846061340062, 2.17676140428891, 2.0081933953950375, 1.68875510818618, 1.273905141397817, 0.8330467448572407, 0.43599976984711847, 0.13883935563560626, -0.02585913993481282, -0.053163541081334906, 0.035893234734355496, 0.20102444081730939, 0.3926523257966807, 0.5627896266590253, 0.6744873374051051, 0.7080743058328159, 0.6631937400602125, 0.5557998875759703, 0.4121380006179433, 0.2614373943571564, 0.1290572186533076, 0.031588117998828, -0.025223927878268472, -0.045637272976425704, -0.04077946745269316, -0.02433857300932197, -0.008354371867328996, -0.0002189403897703991, -0.0016465684034539158, -0.009571985090653885, -0.01838855766426785, -0.022633947775926547, -0.019203665111373586, -0.00841574501371673, 0.00632349308066048, 0.02002799857766753, 0.028217732642040826, 0.028714136405365062, 0.02241998398665544, 0.012802524811260478, 0.004268119398923183, 4.4463039696338635e-05, 0.0004171047328389518, 0.002111578402867954, -0.0007345777958774385, -0.014118206065323548, -0.04094027510783161, -0.07824128365343241, -0.11626651712863087, -0.14032201739744546, -0.1356088830435605, -0.09421254949590029, -0.02244116769838772, 0.053949684189946584, 0.08918251945564941, 0.023425222687369216, -0.2042363265956078, -0.6375394446826602, -1.2828755958719957, -2.0919687984762954, -2.95264958561048, -3.6922201272620248, -4.095917795544861, -3.9399950713027105, -3.03545422529991, -1.2755702714043764, 1.3225679261640455, 4.596397795709015, 8.240008640864477, 11.83388906722433, 14.901261775684226, 16.98398790986334, 17.72606033168158, 16.949452735421858, 14.706430777508938, 11.29554679653147, 7.23243852112325, 3.1704038894310833, -0.20900718172496954, -2.31973066399747, -2.78881231309554, -1.5456437376889751, 1.1363260001948634, 4.657656591663954, 8.17329304309752, 10.728867374935158, 11.438441153440955, 9.653551850270777, 5.100863319821473, -2.0345882475943204, -11.098980616985832, -21.03768250585933, -30.53419696376166, -38.20044664422741, -42.78941164228916, -43.39832806355739, -39.63253713282167, -31.67918528444279, -20.288084452061764, -6.667753756613961, 7.687023247023606, 21.20801177295071, 32.47274580354908, 40.395994261231834, 44.36466304526283, 44.29984816768668, 40.6411992817817, 34.2361903792213, 26.179660030773213, 17.633623716750666, 9.655465565023283, 3.0610045993122714, -1.6592195872117206, -4.3626688455549285, -5.2197584837956015, -4.633777305053946, -3.134207651817718, -1.264744687115571, 0.5107827129128649, 1.8702719868906126, 2.6573321370443, 2.869634371471249, 2.6203510597359188, 2.085312734773292, 1.4493716396667455, 0.8635014928707497, 0.41975330130119615, 0.14608997689941783, 0.019069324686463576, -0.01321504959470059, -0.006313094690325988, -3.545797570856156e-05, -0.009211445042031063, -0.02576383393993519, -0.02978547394530541, -0.004725862603864014, 0.049319095214754034, 0.10939004863675209, 0.1330132999666699, 0.0706739385156421, -0.11586983230469367, -0.4346999155884218, -0.8501481267638532, -1.2794195866011713, -1.602034701394053, -1.681760680866009, -1.3972129898919532, -0.6716774068730494, 0.5035257592764728, 2.0576874051891347, 3.844874850161954, 5.663688440640446, 7.2893214310856616, 8.511903340053008, 9.17359333638517, 9.198110404875543, 8.607767130376713, 7.514000662493369, 6.09257215939706, 4.549043283775614, 3.0808490775335966, 1.8436820245024232, 0.9286446725586683, 0.3540806577216007, 0.07273673398777292, -0.008344574948649628, -0.00042892840911113, -0.004555849467344351, -0.08850913541597943, -0.2745605107877288, -0.5398426954499697, -0.8280764348320084, -1.068818539999005, -1.1988898910103065, -1.1804692776523003, -1.0115976420156276, -0.7268349653461961, -0.3873812183312971, -0.06493546746586765, 0.17633242535480784, 0.2951578248926445, 0.28213307026302004, 0.16023886650435748, -0.02284842063079122, -0.20841060589210572, -0.3426921262156064, -0.3911179271772983, -0.3460826114897416, -0.22722286676548734, -0.07460242310539471, 0.06311268674500967, 0.14217545533478934, 0.13538981333623093, 0.038908233592868394, -0.12738630125892003, -0.32575852813228284, -0.5111516908274114, -0.6434454665674838, -0.6973892519230136, -0.6677789716706299, -0.5688845606859689, -0.4287384709750766, -0.2802843822310849, -0.15214588806326365, -0.061716869503594105, -0.012434321800168163, 0.004300625459195449, 0.003545951443621663, -0.00020729454970844376, 0.0012740030882314297, 0.007768490168248681, 0.012705581574761454, 0.008665242919069274, -0.006183638222340743, -0.024006897421140937, -0.028656766940837203, -0.0040877133538468865, 0.051026532879204736, 0.10586482371623654, 0.08266407445238633, -0.14912873802232868, -0.764308835695719, -1.956194756497768, -3.8950836331275274, -6.676984210210089, -10.274011488637885, -14.503399370240684, -19.019827747053647, -23.339681737935695, -26.899780070395146, -29.14437842386272, -29.62760098624186, -28.113056736336084, -24.650067491953703, -19.60759490522308, -13.654419168092693, -7.678371954061777, -2.6422680265819656, 0.574595257270744, 1.3282476352876134, -0.6697255319503749, -5.286881071051762, -11.973985964592512, -19.840823438309396, -27.79296870195205, -34.70991460681144, -39.641429821655585, -41.95896742867545, -41.44251445805116, -38.293486041028885, -33.07324877899561, -26.582424414176003, -19.706884920654062, -13.261686634365775, -7.863128469097454, -3.852276465770464, -1.2794881977821781, 0.05161254171783161, 0.4900026102979045, 0.4260407376236516, 0.1929733938234326, 0.003957079805260343, -0.063817744642913, -0.04009252020224352, -0.002724988376809908, -0.013036185167662069, -0.07153690326663242, -0.1151295201325802, -0.06463455384473997, 0.08510308632739118, 0.15612284055233008, -0.30599542020953147, -2.0718726495527355, -6.18328396494544, -13.80826063470173, -26.006415576292657, -43.44966395200566, -66.14294771978093, -93.20712335567775, -122.78598721822382, -152.12082811254206, -177.80966184639377, -196.23435716322047, -204.1037675295833, -199.03145021977247, -180.06458763520504, -148.0586297656747, -105.6736289692535, -57.132752157469334, -7.745309495117739, 36.763818487754364, 71.0241279083583, 90.77431850259413, 93.48517602727102, 78.75029760328748, 48.381726491708456, 6.162915014771736, -42.749288058521145, -92.57400139330622, -137.70030315288187, -173.41433601168143, -196.4562584733169, -205.33558787507877, -200.37471634272572, -183.49400803253985, -157.80996739848877, -127.12262519235698, -95.23325094657042, -65.40675358407981, -40.01799624595185, -20.39070254685569, -6.824493762668664, 1.2252069602547497, 4.870249308266759, 5.479670520126141, 4.3957591347607785, 2.7217761170738606, 1.204766569156044, 0.21494002235839013, -0.19342942282437578, -0.17218360220585185, 0.043079314331475244, 0.23679026837641387, 0.27858310765928324, 0.14334675195926244, -0.10776943188801799, -0.3707412660578987, -0.5477474207976295, -0.5842241206086014, -0.484295393560783, -0.3029760970360091, -0.12084987605525238, -0.011705015395211831, -0.01476702690861627, -0.12072990003882253, -0.2757591958120072, -0.40160619704630635, -0.4242175390912199, -0.3008302598803255, -0.03662733155620858, 0.314486205068301, 0.6653530585853822, 0.9225235044314716, 1.0162561235570498, 0.9239226759022483, 0.6789864357407994, 0.36149984614191333, 0.07136269512991132, -0.1059208040169582, -0.1305588559205128, -0.02665066491962712, 0.11988318166039708, 0.18517376536119803, 0.04818469421501904, -0.3621389993840288, -1.027165315872722, -1.8200925934806103, -2.5174822105025214, -2.841512800671933, -2.5257965083466627, -1.3907073179749367, 0.5898194642441895, 3.2479638402755024, 6.221668452227753, 8.99965746133917, 11.009078109765698, 11.733557891615009, 10.818819921221065, 8.154123081372918, 3.912348976681703, -1.4629792377646103, -7.32327714562927, -12.921706183841232, -17.54103414431378, -20.61757579810136, -21.839216798677636, -21.200793819166595, -18.981190925507203, -15.668689029137779, -11.854466056616824, -8.115713739653884, -4.912776430503886, -2.520402684118466, -1.0048261965629273, -0.24785778358225846, -0.008792809370649237, -0.006837711587193752, -0.0030438035799025195, 0.13926443136980218, 0.42994269087310755, 0.7663974271372532, 0.9798576956777871, 0.8989136397816818, 0.4120154661580618, -0.48838459193468703, -1.6918928825203927, -2.9907732881695592, -4.131448231034883, -4.879636486192002, -5.0816341843784665, -4.705353828120479, -3.849747694998433, -2.7194337203939662, -1.570402602433983, -0.6403918423541909, -0.08192701473893962, 0.08401266799758712, -0.02005788247613824, -0.154597247389398, -0.021857190776442888, 0.6565700231958085, 2.061924637481121, 4.219187835567422, 6.97184657462442, 9.998118210898918, 12.868737520781728, 15.139371500061976, 16.440133819783004, 16.549954110113486, 15.441191299242343, 13.284016761948022, 10.410337910486994, 7.245894238214763, 4.225923909594084, 1.7130162739943662, -0.06499024574492807, -1.0454666602096911, -1.3244769664262896, -1.1128000258801443, -0.6712604604916355, -0.24286776561435183, 0.0020830408264726472, -0.003940225652942709, -0.2255975772968848, -0.5519363877365858, -0.841819872114407, -0.9740939213529103, -0.8872849432899477, -0.5983982063927793, -0.19672095013160817, 0.18473110009004562, 0.41153442996485307, 0.3918309469550632, 0.10949701076703561, -0.363090333897407, -0.876988981716756, -1.241790361867147, -1.274988896512555, -0.8513016023848864, 0.06009806871803213, 1.3798046745733892, 2.9281536257647987, 4.45905619661466, 5.710129792495734, 6.457693257324168, 6.563760929906519, 6.002645505862337, 4.862857667598021, 3.325784359844489, 1.626724587750277, 0.007734199981008333, -1.3271659719137816, -2.245148913314197, -2.70011227193745, -2.728981717990277, -2.432579029324801, -1.9464295185269676, -1.402892057874324, -0.9051365126004901, -0.5144435744489865, -0.24994571639908833, -0.09816581892464545, -0.027711214373282698, -0.004004824636775177, 7.433599312602033e-05, -0.0002507346058169826, -0.0001563993708862537, -2.4074871467728146e-06, 0.0003035170464316372, 0.004317933275895836, 0.018026043367205757, 0.04546466287891875, 0.08347962727542284, 0.11882291437333886, 0.13015132889168624, 0.09558330898016223, 0.0038757547176847176, -0.13498283738181355, -0.285347705512049, -0.3924933903211044, -0.4023524283624607, -0.29245301239162685, -0.10749781195010125, 0.010685922600834827, -0.18939246784037975, -1.0539940805414953, -2.978355926626258, -6.334079887748729, -11.38000898225472, -18.173519224309725, -26.502308077073025, -35.85575771729945, -45.449427423709835, -54.30682715469736, -61.390938705893085, -65.77477012101743, -66.83253724514617, -64.34031602130662, -58.520595207572924, -50.01961328356128, -39.81192940258276, -29.04785563187761, -18.870841903090284, -10.238397062020296, -3.7801596009261553, 0.2799122520521801, 2.1254302758973056, 2.267948174728763, 1.3997035603752574, 0.22438262433176592, -0.6951363233961279, -1.0402277927506745, -0.771384042941871, -0.09065064722214189, 0.6558459560257748, 1.1092769237055822, 1.0305731511006, 0.3998949496397535, -0.5468610756145434, -1.3536189530005605, -1.443403671438595, -0.25797686196676045, 2.5951982220038894, 7.223668279959612, 13.387396066997534, 20.510137130670227, 27.768474599693644, 34.235648082151506, 39.04921936802435, 41.56804325121684, 41.48570227906846, 38.87791108272788, 34.17610401743293, 28.07533291868953, 21.398174991614372, 14.945390860974314, 9.363488771289218, 5.051260830996594, 2.1304663353993867, 0.47592377795752705, -0.20961834728093243, -0.29764382209185075, -0.13781061752227242, 0.014551214626269337, 0.03344840231672001, -0.08363134168272063, -0.2551117510730739, -0.3720269793113482, -0.35340069598142054, -0.1846390504701731, 0.07073954756763365, 0.2876616901304681, 0.31802701385658705, 0.039019126100482485, -0.6034112374640992, -1.569218471474294, -2.7270758769776267, -3.8835180418016617, -4.82797813605149, -5.3824230622041185, -5.442896214611944, -5.0027014057055466, -4.151926430068596, -3.054106593296222, -1.9065267259069099, -0.8947562337044493, -0.15233945315271907, 0.2648096703959301, 0.3802072323046585, 0.278317621318141, 0.07312636047997059, -0.12661561419884762, -0.24583067902740363, -0.25812011628611187, -0.18449286572136026, -0.07778594246977404, 0.001382827213191575, 0.008895405051794794, -0.06684505098152735, -0.20166217428319005, -0.34539334327812, -0.4408327491436097, -0.445081354787249, -0.34585926225053165, -0.1670110169303095, 0.03898390102364011, 0.20949263651838052, 0.2950323515021657, 0.2782058350404116, 0.18103456209327795, 0.05668727489505576, -0.03353961762932226, -0.05194909917098994, -0.014913830952085953, -0.010754879807248072, -0.19562327995275847, -0.7636069238517863, -1.8949579354857478, -3.692767269813061, -6.123128372632187, -8.975264122897716, -11.855595052340359, -14.223541520401671, -15.468090054406389, -15.0146067259658, -12.445206163902608, -7.607339941874334, -0.6653720964118846, 7.896782770891084, 17.326420662841713, 26.70141002892814, 35.061655906965, 41.54987230715285, 45.53693876756061, 46.70993214708796, 45.11380665340724, 41.14416016149837, 35.44497450509165, 28.784915817972173, 21.933182824657635, 15.551056466590092, 10.115884905437282, 5.8863167005332135, 2.9088729679231697, 1.0582240339573903, 0.09829116390867569, -0.2512862591054996, -0.2562219005446155, -0.12558993985462566, 0.006698648913242935, 0.07903419934004159, 0.08450417786817245, 0.046932422407113865, -0.0016757761553803697, -0.03691153786588277, -0.04883845418272983, -0.04088590841378631, -0.023692736050874255, -0.007998038198622402, 0.0002749881082720908, 0.0012731012937961862, -0.0008644744376134404, -0.0017494444703863537, -2.7283871353897808e-05, 0.001462738305403929, -0.00280471279666405, -0.017617940897142977, -0.0434129621353175, -0.07433207797126987, -0.09914328036793747, -0.1050153636438948, -0.08287622510363118, -0.03223818365050812, 0.036686523327731715, 0.1049408942196808, 0.15075651974474205, 0.15769250695126838, 0.12174767726455382, 0.054617461441504055, -0.018690302946224455, -0.06780572650133576, -0.06826433996237792, -0.012179613375549639, 0.08607089808730159, 0.19243460277320903, 0.2647969739262457, 0.27086727366428087, 0.20486291571594423, 0.09511948404492045, -0.004174432691961992, -0.04063141835719364, -0.008644163277443573, -0.0032238237043211897, -0.2686201785981799, -1.2245737535133467, -3.453949557209107, -7.642500466072812, -14.474275059514598, -24.49514649382455, -37.96673610683706, -54.739359177233986, -74.1733304962417, -95.13255314120885, -116.06317460296314, -135.15494600992005, -150.58288375693007, -160.822058274074, -164.84353396011718, -162.25101848048644, -153.33696303117705, -139.03589256338492, -120.78374343495382, -100.30853336827933, -79.3892778661055, -59.62450154601193, -42.25278219445647, -28.04539124779204, -17.258028717682866, -9.699929010685636, -4.867617775125678, -2.1007705774939227, -0.7270572398326195, -0.17067318728046937, -0.011369913030668383, 0.005968023568813056, -5.5872323777216094e-05, 0.0014628244194720445, 0.003606688695926093, -0.002592798551178715, -0.013433565624326675, -0.01668780354339957, -0.005872211644482536, 0.0065514108391126575, -0.013753162476962824, -0.11189564225913186, -0.3217906944165349, -0.6427957003643335, -1.0263021496498597, -1.380454015592641, -1.5949638958961614, -1.5800388641926721, -1.3066559019623012, -0.8323052619278909, -0.29842742329271027, 0.10679699551122677, 0.21558160759768738, -0.038346249504738625, -0.5538433965553792, -1.0418117819339927, -1.067778640971751, -0.16075384304853488, 2.0279850164184627, 5.551261732326696, 10.025063553260567, 14.569564659116, 17.87164056511247, 18.388139055741565, 14.654987148460226, 5.648917771524754, -8.873575905610348, -28.144744912402803, -50.333399022998414, -72.71348900912308, -92.05101906654313, -105.15773113734595, -109.5206604609555, -103.8819542897817, -88.58674762246724, -65.65108587568534, -38.51707041043898, -11.51599450166521, 10.87565011551468, 24.856053350052246, 28.039643490650597, 19.972311213262365, 2.3089654908763357, -21.42493590971685, -46.471869415536695, -67.68921277147835, -80.4612681046705, -81.51553347278352, -69.4968255744746, -45.19948407818431, -11.421910884300894, 27.5230518602099, 66.55212516997977, 100.70994804780084, 125.99540345893244, 139.92410278226365, 141.78428727183922, 132.5742755277058, 114.66484146720168, 91.2748432151759, 65.87249065759359, 41.615411782379766, 20.92723593065033, 5.2571543633805, -4.984446653374247, -10.263717265269834, -11.63496857096271, -10.414178779368662, -7.884505203823288, -5.083287247616655, -2.6931244666073577, -1.0332146523847212, -0.12683668286990996, 0.18992786877923, 0.15410145582068055, -0.01493111823697715, -0.16752587011552375, -0.23664770563213275, -0.22155680028128047, -0.15740632221811637, -0.08527928616792149, -0.032495937582704665, -0.006535220925474079, -3.8681864269044425e-05, -0.0009184782551635547, -0.001123755865944162, -1.1300210942049288e-05, -0.0019565780305386285, -0.01083605988689149, -0.02527752216914116, -0.03778162135166738, -0.0384791557118322, -0.021564138844352234, 0.009404612220024334, 0.041309589263522364, 0.05762153237525698, 0.04863997463292637, 0.020327894227591833, -0.00528830394800047, -0.00382893996105456, 0.02234999569652327, 0.004959005338924494, -0.22752056711786123, -0.9694255450137971, -2.6257656088810943, -5.6596932414732875, -10.5008702425265, -17.427878126922913, -26.44847195600055, -37.207843836348864, -48.954644468005185, -60.586230986942255, -70.79021515480174, -78.29003853221533, -82.05830890832476, -81.50542242873215, -76.60634979059938, -67.92691775552643, -56.538806521161256, -43.83640616261979, -31.290878231149893, -20.192022012475306, -11.435540641233143, -5.395966557929757, -1.9036826881055333, -0.3684499902415466, 0.008694826824036328, -0.0018896680921956742, 0.1403038021525316, 0.6311508950975953, 1.320090165137952, 1.8170551829360881, 1.6739836643707846, 0.5860075109649987, -1.4496810023367885, -4.071488933955222, -6.613662326974596, -8.280132731541299, -8.388840237813305, -6.618866931681132, -3.1849391943449006, 1.123921826523801, 5.072259142422946, 7.243147332084133, 6.380971697824445, 1.7439397402301164, -6.6209079353801705, -17.75378257964504, -29.85320072447468, -40.54451656994305, -47.3040263162197, -47.95901923976638, -41.20539481386466, -27.078125312786373, -6.896038670461632, 16.989946030286035, 41.603116998811025, 63.85751823893327, 81.08137717994933, 91.44606577172246, 94.22196691855689, 89.82064044521596, 79.6266950501678, 65.67602953187466, 50.24368181367314, 35.407737317997565, 22.71532097329312, 13.01120032522967, 6.440325301825585, 2.595029330616884, 0.7485426349497347, 0.10457342901977211, -0.0007782940457189764, 0.013170803912512855, -0.01760228415764035, -0.07407604955327554, -0.0691072337997343, 0.042968930887206123, 0.20264838428272194, 0.2489267539670341, -0.012957174091399133, -0.7059505052131756, -1.7789643122858392, -2.9526339111227435, -3.7383250771375955, -3.5333490459842225, -1.7737837510098047, 1.8932482650795426, 7.464814136991381, 14.508268717608566, 22.186065429951448, 29.383372674190973, 34.92014969561127, 37.809987840081234, 37.46891498306193, 33.84118776423066, 27.417381507112683, 19.13875731437971, 10.210278144135485, 1.8649890290450104, -4.867497814118455, -9.338078661560296, -11.36670206267479, -11.228815021771345, -9.529222019628985, -7.0216632015160405, -4.423466268590814, -2.267674210450541, -0.8235948243226516, -0.09683292734659422, 0.10125017226056526, 0.041794247260187836, -0.039426561893080796, -0.030831537383078693, 0.020110077919035466, -0.06721201995876692, -0.532165839315446, -1.5753817148101756, -3.269000026537107, -5.502472447581513, -7.981288068707742, -10.281107350806463, -11.946877033796554, -12.615573751721953, -12.107195445724601, -10.47344729795055, -7.993556530828697, -5.116909026149961, -2.366896701104551, -0.22924780011314091, 0.948941287309596, 1.0266670393804729, 0.08923706479744183, -1.5815955381560143, -3.5833137742565375, -5.488310459710042, -6.93415672957048, -7.689326186836698, -7.682851902424695, -6.995950262477967, -5.822524253894118, -4.411670013511993, -3.0079664933085257, -1.8029653474914502, -0.9058576471823162, -0.340337751307056, -0.06183350945635191, 0.0138876787471577, -0.019722233578989168, -0.08430666327638986, -0.1301569069863041, -0.13824963077841304, -0.11333012429375236, -0.07244632252774975, -0.03358617291095628, -0.008231442414808448, 0.0010075917150877234, -0.0014824092802698495, -0.008388543412255034, -0.01347346718909664, -0.01388983850610603, -0.01029342735888914, -0.0053028023988123535, -0.0014609647978810665, 0.00015214569069594216, 6.662141223471888e-05, -0.00044788171079821544, -0.0005062026412605158, -0.00015989675484204697, 2.0179717308302038e-05, 3.223377027280469e-05, 0.0013050992797208271, 0.006292905401968202, 0.01628166140631419, 0.027957436860444003, 0.030386781126049735, 0.0046611493440187465, -0.07187296026267384, -0.21630294694642901, -0.4275350506259254, -0.6746137168396081, -0.8919437622504969, -0.9876060667256946, -0.8686766594832815, -0.4803401017730884, 0.14765391458583885, 0.8586499282802967, 1.3452484258796074, 1.1574847041564933, -0.2482165718929436, -3.4188950752431735, -8.783813764264394, -16.52247246649185, -26.456291578824413, -38.00081800849318, -50.18528979461117, -61.74778803269927, -71.29843778851478, -77.52710463542267, -79.42052569798004, -76.44859185744731, -68.6821845538196, -56.82484349624629, -42.146905806814544, -26.25371377089807, -10.824195702106849, 2.6429540817137545, 13.040090465769069, 19.78247407122368, 22.842011933751706, 22.683650499159572, 20.124045125743763, 16.146689943406315, 11.713046580531309, 7.601088214980475, 4.308517572709087, 2.03191592450023, 0.7121671138216789, 0.12362357888791953, -0.02193180110695382, 0.01577292621597946, 0.06372316971813842, 0.052788391202603584, -0.0020780093059750847, -0.044691210072683944, -0.024617277705950832, 0.06851910045337424, 0.19358253453602076, 0.2708211994748985, 0.21236980768127836, -0.04179233907934905, -0.49579747497265275, -1.088236684632998, -1.705883393838561, -2.214958528992887, -2.4991389139282183, -2.4928680719536804, -2.1997926068044644, -1.6909462817522034, -1.083579347288723, -0.5073918804390601, -0.06863698566773427, 0.17697118098554585, 0.23452525657874515, 0.16041030141969997, 0.037352429007150675, -0.056294694674749526, -0.07268946010277022, -0.007725401544259102, 0.10255711132191625, 0.2006627416069966, 0.2346807066390547, 0.1840552480862553, 0.07436777696534641, -0.025837355203731444, -0.02483582660043832, 0.1619629661953868, 0.5806316665121005, 1.2164828141498107, 1.9887343639226747, 2.764966427680225, 3.392323730352643, 3.737943753262564, 3.728200954491399, 3.3676511780390883, 2.7365730776329156, 1.9685028223317984, 1.2138932618415452, 0.6005159107507336, 0.20200636007114284, 0.023417333909027515, 0.00752629952695746, 0.059426361721715615, 0.08152488501569795, 0.007476619761749893, -0.17666633716049934, -0.4305767309982348, -0.676776413240371, -0.8303759304151929, -0.8310819236068391, -0.6664988657088989, -0.37865248202790164, -0.05130402198249475, 0.21824892871531865, 0.3537309414931266, 0.32672120225114165, 0.16634525188966448, -0.05190636454125418, -0.23483960291864212, -0.30785039252847546, -0.24556000983771611, -0.08442439808471987, 0.08970358973223083, 0.17772350003523285, 0.11629112078600623, -0.07808613070272982, -0.2879643666555386, -0.3098556213541747, 0.09204100491445001, 1.1029835874536946, 2.7669169041577137, 4.915794629925644, 7.1463384201822855, 8.861335055126727, 9.373748979749557, 8.055716966275085, 4.501606375409131, -1.3336006244661827, -9.057837811269257, -17.85367085084792, -26.585981731350564, -33.991282655906836, -38.92153462716149, -40.599334914079215, -38.75473147115821, -33.66999405625407, -26.123650721574066, -17.23958041615024, -8.27394018268163, -0.38535134099950374, 5.563754897477337, 9.134843522753668, 10.350340097055424, 9.638429822852599, 7.674852286324038, 5.199265495813809, 2.85138060708168, 1.0580535893986627, -0.010352464355707441, -0.414749159745591, -0.37029139187837856, -0.1452777127206619, 0.03368277454140812, 0.04519144126991608, -0.1097013638115183, -0.3343159588954601, -0.49119542952151196, -0.46326544890379834, -0.20060928914147255, 0.2609088373070384, 0.8126692916492214, 1.3111017756480543, 1.6263288115103838, 1.6852945321878756, 1.4912761459039023, 1.1166339177000952, 0.6741963013788668, 0.27826435374322844, 0.008896531370758085, -0.10892404853947185, -0.10531795344318373, -0.04615215874543949, -0.0023305966284142246, -0.019331586579662316, -0.09907609308649468, -0.20173870719920292, -0.2655588876835256, -0.23626409184774477, -0.09439807141960209, 0.130388059419103, 0.3644191398286069, 0.5138772484123271, 0.5000281183979334, 0.2941317699873876, -0.06255224440063288, -0.4636987299117566, -0.7671695202473159, -0.8398085088434176, -0.6032248758435065, -0.06494348675555628, 0.676508475169934, 1.4557918750884524, 2.087835717413544, 2.423809780963527, 2.3969734447018762, 2.04180002405136, 1.4795630030536788, 0.8752532583926522, 0.3810655164007757, 0.08694598282201231, -0.003344522695563894, 0.03870938459610733, 0.1081808287776667, 0.12229421680020862, 0.0650110488285938, -0.0022894863655043935, 0.025369726655885636, 0.22705723762308844, 0.5800740151941842, 0.9212776942712372, 0.9901383894723651, 0.5819334753578599, -0.19338352534867137, -0.5957413236129598, 1.0350433377455268, 7.444879836564421, 22.408685294372656, 50.384587574040985, 95.86795214597655, 162.5054570018782, 252.10188053858744, 363.7085455473843, 493.06287511822575, 632.7562354284189, 772.7763144896555, 901.5321239175289, 1007.2774081687319, 1079.6862020912768, 1111.321398843333, 1098.7426012949072, 1043.0534123699179, 949.7819590720916, 828.2162269459864, 690.3070775735218, 548.472443403019, 413.82959455157663, 294.9389829448493, 197.09414645868392, 122.21059869907963, 69.25149759427435, 35.0365008890971, 15.228832958627311, 5.292026317044058, 1.2406047329721892, 0.08658661863089931, -0.02913480887906755, 0.013159620034790362, -0.00505066569785389, 0.0061185993771257835, 0.16229562503432796, 0.45294758919673395, 0.7263909108551082, 0.7728408604141066, 0.44157314266947323, -0.27092298368513207, -1.2015358765889412, -2.0759523550202106, -2.613347187809634, -2.6359668719982925, -2.138808379903698, -1.291514138747355, -0.37191573007998835, 0.3422104916913703, 0.6793201333167926, 0.6322658863558798, 0.34700337802647524, 0.04694331592017056, -0.07750027258426324, 0.031793593308799536, 0.25921773895681693, 0.36187479139491, 0.10329492315545952, -0.5619531824372375, -1.3208309151900655, -1.4406051482198827, 0.12278857228919975, 4.434443859047725, 12.163717525868801, 23.162017781418974, 36.193549922120845, 48.96670138588968, 58.546980338488, 62.20957416742704, 58.64721715129301, 48.316407729111404, 33.39437591839677, 17.43225089283664, 4.741496607251722, -0.3385262829579872, 5.854117526224669, 25.73887356551894], 'positive_zeros': ['0.36304622185617679769022233344145', '0.68477636603985020595255067531542', '1.22249992441489060596500792986986', '1.39726418800397312464984022544414', '1.46033955569582225577643723300190', '1.69373797949955124014676577144522', '1.73230534991772285646266140659768', '1.95445381155498410011126100140242', '2.04691440609770714909605607105250', '2.06890462838833844850198754786563', '2.60844358081501628651745976562123', '2.85734023305156338157693619844431', '2.88896443726096609350629779134483', '2.92536223700126030693975628001961', '3.21827616564514736408726341937716', '3.30855400539417621871621452515785', '3.38437080392205097488660864211489', '3.69305772236395202280858204778185', '3.79963793488928692050183580793002', '3.87922728683128571548391341224870', '4.03809302786921102858973721705039', '4.08601168261360109043459507196873', '4.28453488737234209050662763348390', '4.35070330811764194893977131323095', '4.38253418394432217872515640317017', '4.72953985306795719842202753117153', '4.74270486523912597336563670747018', '4.74487096456355678535994273630256', '4.80500425596141091670361190294354', '5.26664192557304588251133803399624', '5.28812691428062560802281212936625', '5.43033595061470435161501801932327', '5.43099376035393462081097303927383', '5.51855229939170861720174097408983', '5.57294638996977729968995568144390', '5.73346457528027922362011124061313', '5.86466793178073916631668934924574', '5.92451738963955669441373586871855', '6.00036447364893754614782741170522', '6.16150951970931447231171605922508', '6.40189669876616271690706526687841', '6.41851429454254822571980352270444', '6.56307941116428957628199777906000', '6.70530347622290615359581660162734', '6.79219310570615819398789212896904', '6.79989487753336400016596300787653', '6.90152285643176020934443795974482', '6.90295212320603869747901248281667', '7.19787450661979239667536816647441', '7.27091852862963447703090957958147', '7.34813149348629776899471103335787', '7.35418158910286248817041685080648', '7.36557956553132273570047350687250', '7.41402754332503463661616998991626', '7.905039637636977287126122576952182', '7.947163007507300041065290417533779', '7.993182538743470859570876449408716', '8.112937238503238129273530333861452', '8.263751788719906557301423808476320', '8.279338929102326372649353522858200', '8.299491136673246386180770680911006', '8.332251895272422288299479030130461', '8.452495138087032218167312116640885', '8.570257900094381620791207790329250', '8.749411600118394582405919990252904', '8.766788680741436015635418004467790', '8.955996774465326121344576338919281', '9.063571873980550877160900555026475', '9.066455423612529080995609951808746', '9.104981724032977739274748725061867', '9.522083296482535727136917589320194', '9.605578193179933896889976380920677', '9.626837214053619447650977371762591', '9.719759307060589489025321259123493', '9.797872046256043466421593337303947', '9.910805192698529750209032177340229', '9.970862927052501390850645376729035', '10.07364353006304148892501918696838', '10.11432295727373514992142123192689', '10.29418563620992583162003737330609', '10.31818802703695770858273103855298', '10.38488350607772644113915774778065', '10.46607022218642748003500768550843', '10.54401821650306555100958009299593', '10.77476095567489547286607423999347', '10.83902534086140765608428048896164', '10.84437353824291152942444453613049', '10.85277327539404454988032916167853', '10.97329393291252472831394739534739', '11.04567892093531445218506641854741', '11.07301302754863353634735324716315', '11.22287276814048962237666425118314', '11.43021679818646908695468425357074', '11.51177974386928753529330213078814', '11.52890752365409593688302245703128', '11.87551986927591335156548354754818', '11.91300881827255369169898783041216', '11.97326256028608982065232159853651', '12.04839362172914562853234572542992', '12.28382721173562070288969122285610'], 'prelabel': '20-325e10-1.1-c1e10-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.6109432223674471, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e10-0', 'trace_hash': 1479534185626611579, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.36304622185617679769022233344', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.68477636603985020595255067532', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.22249992441489060596500792987', 'prec': 103}}
