{'Lhash': '374817655338383446538477916777,383314924135479018863104532263,509127456448408318021067683096,985693081677112156261141902213,1120391008205599006508818133808,1385946279075031114716582414751,1731449637826063234901232177255,1874579464657181840746756198543', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -1, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 46679583177.49455, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1]]], 'bad_primes': [2, 3, 5], 'central_character': '2700.1', 'coefficient_field': '1.1.1.1', 'conductor': 2824295364810000000000000000, 'conductor_radical': 30, 'degree': 16, 'euler_factors': [[1], [1], [1], [1, 1, -9, -52, 26, 441, 1294, -2174, -11493, -15218, 63406, 151263, 62426, -873964, -1058841, 823543, 5764801], [1, 3, -20, -21, 310, -54, -2549, -6, 11641, -66, -308429, -71874, 4538710, -3382071, -35431220, 58461513, 214358881], [1, -2, -30, 86, 413, -1263, -4607, 6829, 63495, 88777, -778583, -2774811, 11795693, 31931198, -144804270, -125497034, 815730721], [1, 18, 241, 2322, 18568, 123624, 714067, 3569544, 15747727, 60682248, 206365363, 607364712, 1550817928, 3296907954, 5817154129, 7386096114, 6975757441], [1, 8, 114, 688, 5819, 29064, 189244, 802592, 4293693, 15249248, 68317084, 199349976, 758337899, 1703556112, 5363230434, 7150973912, 16983563041], [1, 3, -14, 141, 610, -1818, 27493, 110118, -369755, 2532714, 14543797, -22119606, 170703010, 907524363, -2072502446, 10214476341, 78310985281], [1, -9, 25, -270, 1678, -2655, 54664, -310734, 373405, -9011286, 45972424, -64752795, 1186817518, -5538010230, 14870583025, -155248886781, 500246412961], [1, 2, -102, -86, 6263, 1713, -278855, -19339, 9684405, -599509, -267979655, 51031983, 5784012023, -2462106986, -90525375462, 55025228222, 852891037441], [1, -2, 219, -394, 22907, -36546, 1495348, -2064356, 66383487, -76381172, 2047131412, -1851164538, 42931406027, -27321519058, 561894083571, -189863754266, 3512479453921], [1, 9, -38, -333, 1366, -4266, -136919, 117378, 6281365, 4812498, -230160839, -294016986, 3859989526, -38580114933, -180503961158, 1752788464929, 7984925229121], [1, -8, -54, 272, 2573, 5904, -168590, -155624, 7198236, -6691832, -311722910, 469409328, 8796574973, 39986296496, -341353604646, -2174548888856, 11688200277601], [1, -12, 7, 588, -2084, -26280, 199141, 1167900, -19309289, 54891300, 439902469, -2728468440, -10169255204, 134854864116, 75454507303, -6079477445556, 23811286661761], [1, 24, 412, 5790, 71578, 754146, 7092601, 60145998, 464318149, 3187737894, 19923116209, 112274994042, 564784849018, 2421351904470, 9131716785148, 28193067356088, 62259690411361], [1, -15, 103, -1776, 17116, -83997, 1147912, -8991024, 35402743, -530470416, 3995881672, -17251219863, 207400750876, -1269705555024, 4344594965023, -37329772272285, 146830437604321], [1, -1, -168, -425, 15830, 55158, -891281, -1848982, 44687097, -112787902, -3316456601, 12519817998, 219179663030, -358953427925, -8655422892648, -3142742836021, 191707312997281], [1, -11, -63, 1202, -2422, 2907, -345500, -2520956, 69881643, -168904052, -1550949500, 874318041, -48806015062, 1622850378614, -5698878076647, -66667827658553, 406067677556641], [1, -24, 568, -8418, 123490, -1405422, 15927001, -148607322, 1372902937, -10551119862, 80288012041, -503015993442, 3138088486690, -15188002676718, 72760961267128, -218282883801384, 645753531245761], [1, -20, 660, -9394, 175754, -1933422, 25988389, -227880458, 2378089845, -16635273434, 138492124981, -752134026174, 4991104448714, -19474434544642, 99880589350740, -220947970381940, 806460091894081], [1, -7, -30, 1027, -14782, 92082, -50639, -9281236, 161146809, -733217644, -316037999, 45400017198, -575760097342, 3160136921773, -7292623665630, -134427362903113, 1517108809906561], [1, -12, -92, 1758, -941, -33777, -634079, -3239787, 142998925, -268902321, -4368170231, -19313249499, -44658280061, 6924833450394, -30078514349948, -325632611875524, 2252292232139041], [1, 6, 235, 3306, 41023, 591966, 6520228, 62796228, 751528735, 5588864292, 51646725988, 417317679054, 2573874952543, 18460900538394, 116790603375835, 265388009373174, 3936588805702081], [1, -5, -228, 311, 27794, 46950, -3165857, -3221834, 336287745, -312517898, -29787548513, 42849997350, 2460582836114, 2670662819927, -189917617123812, -403991422390565, 7837433594376961], [1, 12, -164, -1794, 17005, 44649, -3343151, 2586243, 481637659, 261210543, -34103483351, 46001909349, 1769547119005, -18855120298794, -174089304698564, 1286562422528412, 10828567056280801], [1, 7, -153, -1768, 3716, 121941, 428104, -2266436, -25620813, -233442908, 4541755336, 133248223107, 418239073796, -20495965633624, -182690001368937, 860911705797409, 12667700813876161], [1, 78, 3193, 89706, 1935928, 34084404, 506836843, 6482955732, 71926240855, 693676263324, 5802775015507, 41754860529372, 253760669804728, 1258173055541742, 4791832013453857, 12525095516531754, 17181861798319201], [1, -4, 264, 802, 32210, 280050, 5571805, 19242098, 870089661, 2097388682, 66198615205, 362672871450, 4546704365810, 12339764118298, 442754429262024, -731215648326676, 19925626416901921], [1, -27, 94, 1791, 29644, -713034, 2077711, -15833304, 573277753, -1789163352, 26530291759, -1028834619498, 4833375969484, 32998014061263, 195703464745246, -6352034797210059, 26584441929064321]], 'euler_factors_factorization': [[1], [1], [1], [[[1, 1, -9, -52, 26, 441, 1294, -2174, -11493, -15218, 63406, 151263, 62426, -873964, -1058841, 823543, 5764801], 1]], [[[1, 3, -20, -21, 310, -54, -2549, -6, 11641, -66, -308429, -71874, 4538710, -3382071, -35431220, 58461513, 214358881], 1]], [[[1, -2, -30, 86, 413, -1263, -4607, 6829, 63495, 88777, -778583, -2774811, 11795693, 31931198, -144804270, -125497034, 815730721], 1]], [[[1, 9, 80, 441, 2115, 7497, 23120, 44217, 83521], 2]], [[[1, 4, 49, 148, 1117, 2812, 17689, 27436, 130321], 2]], [[[1, 3, -14, 141, 610, -1818, 27493, 110118, -369755, 2532714, 14543797, -22119606, 170703010, 907524363, -2072502446, 10214476341, 78310985281], 1]], [[[1, -9, 25, -270, 1678, -2655, 54664, -310734, 373405, -9011286, 45972424, -64752795, 1186817518, -5538010230, 14870583025, -155248886781, 500246412961], 1]], [[[1, 2, -102, -86, 6263, 1713, -278855, -19339, 9684405, -599509, -267979655, 51031983, 5784012023, -2462106986, -90525375462, 55025228222, 852891037441], 1]], [[[1, -1, 109, -88, 5425, -3256, 149221, -50653, 1874161], 2]], [[[1, 9, -38, -333, 1366, -4266, -136919, 117378, 6281365, 4812498, -230160839, -294016986, 3859989526, -38580114933, -180503961158, 1752788464929, 7984925229121], 1]], [[[1, -8, -54, 272, 2573, 5904, -168590, -155624, 7198236, -6691832, -311722910, 469409328, 8796574973, 39986296496, -341353604646, -2174548888856, 11688200277601], 1]], [[[1, -12, 7, 588, -2084, -26280, 199141, 1167900, -19309289, 54891300, 439902469, -2728468440, -10169255204, 134854864116, 75454507303, -6079477445556, 23811286661761], 1]], [[[1, 12, 134, 1287, 11367, 68211, 376406, 1786524, 7890481], 2]], [[[1, -15, 103, -1776, 17116, -83997, 1147912, -8991024, 35402743, -530470416, 3995881672, -17251219863, 207400750876, -1269705555024, 4344594965023, -37329772272285, 146830437604321], 1]], [[[1, -1, -168, -425, 15830, 55158, -891281, -1848982, 44687097, -112787902, -3316456601, 12519817998, 219179663030, -358953427925, -8655422892648, -3142742836021, 191707312997281], 1]], [[[1, -11, -63, 1202, -2422, 2907, -345500, -2520956, 69881643, -168904052, -1550949500, 874318041, -48806015062, 1622850378614, -5698878076647, -66667827658553, 406067677556641], 1]], [[[1, -12, 212, -1665, 19293, -118215, 1068692, -4294932, 25411681], 2]], [[[1, -10, 280, -1897, 29707, -138481, 1492120, -3890170, 28398241], 2]], [[[1, -7, -30, 1027, -14782, 92082, -50639, -9281236, 161146809, -733217644, -316037999, 45400017198, -575760097342, 3160136921773, -7292623665630, -134427362903113, 1517108809906561], 1]], [[[1, -12, -92, 1758, -941, -33777, -634079, -3239787, 142998925, -268902321, -4368170231, -19313249499, -44658280061, 6924833450394, -30078514349948, -325632611875524, 2252292232139041], 1]], [[[1, 3, 113, 1314, 10185, 116946, 895073, 2114907, 62742241], 2]], [[[1, -5, -228, 311, 27794, 46950, -3165857, -3221834, 336287745, -312517898, -29787548513, 42849997350, 2460582836114, 2670662819927, -189917617123812, -403991422390565, 7837433594376961], 1]], [[[1, 12, -164, -1794, 17005, 44649, -3343151, 2586243, 481637659, 261210543, -34103483351, 46001909349, 1769547119005, -18855120298794, -174089304698564, 1286562422528412, 10828567056280801], 1]], [[[1, 7, -153, -1768, 3716, 121941, 428104, -2266436, -25620813, -233442908, 4541755336, 133248223107, 418239073796, -20495965633624, -182690001368937, 860911705797409, 12667700813876161], 1]], [[[1, 39, 836, 12249, 140805, 1310643, 9571364, 47776677, 131079601], 2]], [[[1, -2, 130, 661, 8977, 72049, 1544530, -2590058, 141158161], 2]], [[[1, -27, 94, 1791, 29644, -713034, 2077711, -15833304, 573277753, -1789163352, 26530291759, -1028834619498, 4833375969484, 32998014061263, 195703464745246, -6352034797210059, 26584441929064321], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'id': 23259752, 'index': 2, 'label': '16-2700e8-1.1-c1e8-0-2', 'leading_term': '3.0597321649618281734735928502781479906457614956391996831012325183205331571524571672896178', '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}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/2700/2/i/d', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.00732421875', 'prec': 44}, 'plot_values': [3.059732164961828, 3.048470493991813, 3.0296324411454334, 3.0026847957512395, 2.9671534755177906, 2.9226361937074703, 2.868815499483004, 2.8054719373057244, 2.7326069525130903, 2.650722962000717, 2.560601083957026, 2.4631059059474776, 2.359141585385217, 2.2496414468089236, 2.1355576472337887, 2.017821639737854, 1.8972923218535915, 1.7748194413883167, 1.6512377086640724, 1.5273818166677111, 1.4040852153408092, 1.282172371952809, 1.1624571905195098, 1.0457401490675546, 0.9327846689648409, 0.824307459516068, 0.7209718923575529, 0.6233780913176187, 0.5320556065110675, 0.44745666136601936, 0.36995070315461737, 0.2998213740873112, 0.23726253500823746, 0.1823748348892907, 0.13516312210839584, 0.09553505807677866, 0.06330060462998666, 0.03817192027403915, 0.01976386204309314, 0.007596253232683634, 0.0010972833967757799, -0.0003920115911988365, 0.002387803517310343, 0.00862111212776931, 0.017424774825223244, 0.02785688021716725, 0.03892650965711286, 0.04960439139794441, 0.05883436672594479, 0.0655455761057324, 0.06866526796803679, 0.0671324299536285, 0.05991188897184875, 0.04600853521537873, 0.024481639027928662, -0.005540889792741805, -0.04484843173948641, -0.09413326858985047, -0.1539768617018024, -0.22483767622543682, -0.3070396763276737, -0.4007619426624282, -0.5060296012431466, -0.6227061054309415, -0.7504853062174844, -0.8888870208166978, -1.0372563954845928, -1.1947638751977057, -1.360407376281238, -1.5330168088291052, -1.7112606884196424, -1.8936525638133133, -2.078563384987755, -2.264237892485415, -2.4488126937360915, -2.630334566815165, -2.8067812129175778, -2.9760839600542943, -3.136150277543238, -3.284891817046533, -3.4202538294522986, -3.5402448912690385, -3.642969193395942, -3.726654322587999, -3.789679972500966, -3.8306069821153312, -3.8482068001874414, -3.841488763931484, -3.8097250843373325, -3.752474729453972, -3.6696069641957814, -3.561314872737101, -3.4281299934153675, -3.270930436104275, -3.090944466308262, -2.889750326477232, -2.6692711999354035, -2.431766191685969, -2.1798187504209836, -1.916316201905021, -1.6444185404506273, -1.3675249238518266, -1.089236812390001, -0.8133164028677063, -0.5436406960957394, -0.28415317492876785, -0.038813464371372466, 0.18846683967575048, 0.393885184763183, 0.5738084622455669, 0.7248339447049456, 0.8438499235020526, 0.928094264186879, 0.9752116652455696, 0.9833161394879699, 0.9510406106919926, 0.8775808679098412, 0.7627342495918458, 0.6069314210231603, 0.41126034252700294, 0.17748223044657885, -0.09195940033930476, -0.39393677573915487, -0.7246573676606395, -1.0796909755798245, -1.4540056765598115, -1.8420144661508933, -2.2376327740103403, -2.634345797010237, -3.025284317398277, -3.4033093300852886, -3.761111372237915, -4.091313078834268, -4.386577837182505, -4.639723308120525, -4.843832753089483, -4.992368764085076, -5.079288364665315, -5.099162537617251, -5.04728253367068, -4.919763128928415, -4.713636737584883, -4.426929143093288, -4.0587281704518645, -3.609239611637415, -3.0798337650364926, -2.473089624823852, -1.7927947325438747, -1.0439270672979593, -0.23261934655225594, 0.6338903925379746, 1.5473263597615414, 2.498460637141071, 3.4772093685932286, 4.472737230539917, 5.47362139886034, 6.468007361552471, 7.4437712498113076, 8.388691522208843, 9.290627400255977, 10.137702573450236, 10.918505937261408, 11.622264506566411, 12.239026197146774, 12.75983576560735, 13.17689408645485, 13.483703600765658, 13.675199755154392, 13.747897350063287, 13.69997105279783, 13.531281932784823, 13.24342560627189, 12.839745212476217, 12.325313011001208, 11.706887688237122, 10.99287754089054, 10.193218572668306, 9.319213606590429, 8.38337311671751, 7.399239900984606, 6.381190489045005, 5.344221533548895, 4.303741115953224, 3.275302303388925, 2.2743356503180743, 1.3158984170229935, 0.41442667754829077, -0.4165057495429732, -1.1644164129658625, -1.8181289791088415, -2.367981801891674, -2.8060027567271018, -3.1260520831132204, -3.323935647433454, -3.3974866518389564, -3.346613408155679, -3.1733217909012663, -2.8816836435156445, -2.477767264698145, -1.9695362436136554, -1.3667144987025708, -0.680619703056856, 0.07603143384490936, 0.8893441029367894, 1.7445038212538213, 2.6260447795137627, 3.518127045881021, 4.404821026959486, 5.270394064870951, 6.099599264202427, 6.877974072286136, 7.592098499875418, 8.22983289248398, 8.780534902204002, 9.235248205282165, 9.586859420290388, 9.83023242006914, 9.96232704236754, 9.982224107638219, 9.891110759042382, 9.692237394596718, 9.390837861970077, 8.994012065286732, 8.510589482708648, 7.950968386276401, 7.3268611107443355, 6.651049275441302, 5.937112577844496, 5.199150939787891, 4.451501701133673, 3.708466283297942, 2.9840348796553546, 2.291581839240873, 1.6436046159636832, 1.0514872957637125, 0.5252853537622586, 0.07354444827427845, -0.29684483734114264, -0.5807634466643703, -0.7749453152423338, -0.8780091401516449, -0.8904501524644586, -0.8145936597961776, -0.6545082029606253, -0.4158874183185462, -0.10589901295635458, 0.267003496212883, 0.6932891737007142, 1.1625758393283459, 1.6638699671226065, 2.185817614677662, 2.7169562475068516, 3.2459659004906505, 3.761908128809983, 4.254448071463065, 4.714056732552699, 5.13218948837968, 5.501440636793901, 5.81568721055723, 6.070177571589763, 6.261571665257052, 6.387958629083678, 6.448841556312228, 6.4450902529751115, 6.378865133694576, 6.25353494046679, 6.0735556569565405, 5.844290863423792, 5.571840379278847, 5.262862887292332, 4.924393172936073, 4.563659922666842, 4.187920927797057, 3.8042848625929118, 3.419543533527665, 3.040019569891018, 2.67144137547335, 2.3188433107360966, 1.9864907201379332, 1.6778354616106743, 1.3954827385276962, 1.1411856904449493, 0.9158713175473534, 0.7196827450788268, 0.5520444907326119, 0.41174541442347684, 0.2970353875046012, 0.20572799705962255, 0.13531077373447323, 0.08305854754176958, 0.046144361209669436, 0.021744114391731833, 0.007132866259665039, -0.00023062574515344124, -0.0026335982109568197, -0.0020548252138554743, -0.00012728894875813003, 0.0018815870840559112, 0.003072441955598964, 0.0029000706636023383, 0.0011444605526691866, -0.0021314302072218496, -0.006634419042492237, -0.011901518070947203, -0.017365009688914763, -0.022419031838461098, -0.02648464428482413, -0.029070491932378366, -0.02982534754251435, -0.028580537969322677, -0.025380422985328315, -0.02049940595372898, -0.014444610552279635, -0.007944049015225309, -0.001920514807378448, 0.002548414994124161, 0.0042814341981274795, 0.0020536638730151787, -0.005336594236805828, -0.018997481891240953, -0.039872852053234, -0.06867483479994368, -0.10582288874003697, -0.15139283634201917, -0.20507837402946963, -0.26616742793805526, -0.33353529828685863, -0.40565703943491377, -0.48064099589467313, -0.5562771893823124, -0.6301035681975744, -0.6994878621433753, -0.7617223232605813, -0.814128297475559, -0.8541704724375973, -0.8795752874765075, -0.8884348776305148, -0.8793075566059539, -0.8513075054645823, -0.8041762643050502, -0.7383345228571105, -0.654914542054256, -0.555763773170703, -0.44340875071317276, -0.3209970711930414, -0.19221211487454865, -0.06116070892632928, 0.06776419575557939, 0.19004109129292351, 0.30119736484313075, 0.39699551078047157, 0.47361979558935147, 0.5278594750334797, 0.5572820546953563, 0.5603900110768226, 0.5367566569861466, 0.4871283117557772, 0.41347962088592455, 0.31903226327202894, 0.20822958804809885, 0.08666481690030807, -0.03903760476263517, -0.16138629858593248, -0.27223868081042435, -0.36305499148209286, -0.42517872058111517, -0.4501404312505368, -0.42997636353415525, -0.35755249192920985, -0.2268931654872311, -0.03348772761662772, 0.2254470543060626, 0.550739449566234, 0.9410846066047484, 1.3929249655501974, 1.9003957052312803, 2.455332410411019, 3.0473747931347446, 3.664161636411903, 4.2915822435301605, 4.914097767402355, 5.515127625808197, 6.077491682888773, 6.583907425455585, 7.017518008648026, 7.362430522055235, 7.604266360767249, 7.73066196234991, 7.731740389431463, 7.600539226920577, 7.333397267738292, 6.930217278343088, 6.394624705845475, 5.734040961348469, 4.959649931982389, 4.086218009870609, 3.1318147148685975, 2.1174354112057, 1.0664800852152923, 0.004150586683498753, -1.043217694926094, -2.0488860977158003, -2.9864935739509777, -3.830855453615601, -4.558777678222897, -5.149807981269331, -5.586920859880801, -5.857130325221657, -5.952003101745902, -5.868058658440571, -5.607056445554405, -5.176132945498407, -4.587695522092535, -3.859180646491534, -3.0126722411876647, -2.0743690776379875, -1.0739122498747444, -0.04359456429221045, 0.9825442666723879, 1.969760925349759, 2.883659165156023, 3.6912478465317604, 4.361987262737214, 4.868792738005998, 5.188972983705197, 5.30508759623058, 5.205647556036545, 4.885620245767839, 4.346764137568903, 3.5977772559701306, 2.654245291012215, 1.538390424193119, 0.278598018121684, -1.0912792523308847, -2.532755628182478, -4.00372961456209, -5.4596170458740065, -6.854575379488387, -8.142825784652286, -9.28004814576185, -10.22465725920571, -10.939040976808666, -11.390719721589763, -11.5533650144302, -11.40766300054245, -10.942070957709703, -10.153364651028001, -9.04675271490198, -7.63584890884309, -5.942426394112881, -3.9959405670460972, -1.8328127949944486, 0.5044114531406064, 2.968143133624884, 5.507104404329332, 8.06768271815763, 10.595340910674135, 13.036059583331767, 15.337785429487605, 17.451806399510644, 19.334072790817128, 20.94634777439579, 22.257162838922582, 23.24257689179322, 23.886719621798672, 24.182118848557057, 24.129886685369225, 23.73954122123764, 23.02850470852025, 22.02146204839687, 20.749531928397737, 19.249273827346453, 17.561566359229282, 15.730452717731277, 13.801823830862142, 11.822003928533086, 9.836454845645681, 7.8885533879689005, 6.01846782500037, 4.26216531651705, 2.6505759751830373, 1.2089004374183656, -0.04386239046848531, -1.0951560697211515, -1.9389003230739819, -2.5753251729305906, -3.010620255634498, -3.2564423482890508, -3.329226887254415, -3.2493547732398587, -3.0402357149945143, -2.727362842044662, -2.3373464494059846, -1.8969593887616114, -1.432235394302159, -0.9675988755569641, -0.5251079540318335, -0.12382832815249682, 0.22066719047392216, 0.4965915693425088, 0.6961022732267612, 0.8153275477716514, 0.8542356137019488, 0.8163578172182439, 0.7083950060097678, 0.5397288091939713, 0.321853877700659, 0.0677402256007246, -0.20880292793904115, -0.49377422086223244, -0.7735920796758896, -1.0356493839867587, -1.2687963329438878, -1.463740893097946, -1.613364406985855, -1.7129058425280856, -1.7600287320232348, -1.754781331752315, -1.6994576729510502, -1.5983693691428664, -1.4575422084070884, -1.284360407087747, -1.0871766752028011, -0.8748563113842318, -0.6563421121406238, -0.44024789394094827, -0.23449004367928833, -0.04597180129644863, 0.1196676359887939, 0.2582328507451172, 0.3670795434531749, 0.445133979735507, 0.49282969996623266, 0.5119736043198407, 0.505551417447785, 0.4774852777103176, 0.43235672036000933, 0.37511062674825435, 0.31075997452496235, 0.24409496002475958, 0.17942570364425947, 0.12036936130866767, 0.06968974201691673, 0.02919736087870678, -0.0002828502832952158, -0.018879057055255482, -0.02757854071070455, -0.02807642973152112, -0.022576006453090155, -0.013554245878366514, -0.003505900291409301, 0.0053176118446691505, 0.011157157514906221, 0.012968414300905388, 0.010603939526050956, 0.004941066150304466, -0.002055000371783092, -0.00733973553641489, -0.0068719260932549675, 0.004230960751560777, 0.0314689316655223, 0.0806742677563059, 0.15767289336443266, 0.26791625327063684, 0.41610184461955463, 0.6057946726721284, 0.8390713824811759, 1.1162060722588978, 1.4354157621675927, 1.7926795989655853, 2.181662536504065, 2.5937558522391297, 3.0181913251236963, 3.4422697784277374, 3.8516922734784202, 4.230984916775809, 4.56400761902274, 4.834581210324583, 5.0271105359280215, 5.127172845712658, 5.122134221689089, 5.001733518973812, 4.75860883915619, 4.388747560626594, 3.8918849570798106, 3.2716906062006026, 2.5357863856667264, 1.6956661785904867, 0.766478661790043, -0.23332690739012146, -1.2824845678774737, -2.3575306159344924, -3.4335525137498317, -4.484976950608774, -5.486394067119744, -6.413377678000207, -7.243282511129598, -7.956004344242195, -8.534758652812815, -8.966629889367036, -9.242945691627172, -9.359555701776676, -9.316967063884249, -9.120270191315687, -8.778936835567468, -8.30657245242729, -7.720313644857785, -7.040119385080431, -6.288034494462558, -5.48739555651734, -4.6620082159956056, -3.8353029084835564, -3.029583970933844, -2.265204273381827, -1.5598845894470315, -0.9281911284739887, -0.3811509575752048, 0.07398239185825348, 0.43380631032423306, 0.6986872859232689, 0.8725512781298825, 0.962508467164739, 0.9783515637382086, 0.9319609718201917, 0.8366444882879666, 0.7064419963565189, 0.5554240914416837, 0.397011113856661, 0.24335382132686095, 0.10480154557342687, -0.010521149499214138, -0.09701261431216429, -0.15175823887550344, -0.1745558926295978, -0.1677899971251832, -0.1361757427896856, -0.086388719713543, -0.026599612366780268, 0.03406179932338541, 0.0860859879215119, 0.12017928938262781, 0.1278425006380359, 0.10189958545293219, 0.03695060511846496, -0.07027194367449317, -0.22066049067050408, -0.4126178571563929, -0.6420824565107993, -0.9026823950765721, -1.1860130875066115, -1.482032732609463, -1.7795413092030465, -2.066724969554816, -2.3317578400511763, -2.563420614141312, -2.751652087711532, -2.8880643744226977, -2.9663899559487454, -2.982844064756201, -2.936334234493204, -2.8285695180598536, -2.6640192256862054, -2.449680435627504, -2.1947549471101224, -1.9102191990963386, -1.6083089179564776, -1.30194538104456, -1.0040987218010144, -0.7271365198299712, -0.48219514684837994, -0.27863554294981724, -0.12358818944266095, -0.021608993008146643, 0.025535297772598376, 0.018943457744432228, -0.03748775713687622, -0.13729017332221155, -0.27178722409808737, -0.4305722697656917, -0.6020784080291927, -0.7742117120844048, -0.935027407818583, -1.0733949556748228, -1.1796133067573533, -1.2459539388435938, -1.2670964123647825, -1.2404323979846161, -1.1662211667328117, -1.0476027560938035, -0.8904121989248217, -0.7028199875747843, -0.494854071680942, -0.2778002671877331, -0.06351296987238687, 0.13632614404375484, 0.3109618518630245, 0.451302479677576, 0.5505699196376714, 0.6048200503656329, 0.6133153376891961, 0.5787174259910666, 0.5070776710093722, 0.4076186672382407, 0.2922841240895095, 0.17508256757243668, 0.07125387538688294, -0.003710315919559095, -0.035130781685093315, -0.010263749331595214, 0.0805736312405799, 0.24294734186249453, 0.47738241881327786, 0.778622541723179, 1.1351313594809802, 1.528896199861398, 1.9355157222945376, 2.3246415296283964, 2.660741023063627, 2.904171640519822, 3.0125552183691817, 2.9424086082339826, 2.6509875976867874, 2.0982869962082584, 1.2490606876073858, 0.07471091772177046, -1.4449173655104297, -3.3199217867405255, -5.549007248513316, -8.118501062563075, -11.001818554398366, -14.159597698430645, -17.540227803801425, -21.080794963264893, -24.70850938655301, -28.342571604723673, -31.89642812625787, -35.28043841202203, -38.40511316009045, -41.18447582524844, -43.53872278783845, -45.39694393777469, -46.699745077195544, -47.40155782045821, -47.472726637232576, -46.90124185898765, -45.69336579159669, -43.87436844403958, -41.487447882230924, -38.59238110349268, -35.26379056565547, -31.58903957808948, -27.665602594783298, -23.59751665208539, -19.49210282005503, -15.456858078985467, -11.595301297437008, -8.003379915227503, -4.7663542898734255, -1.9559532913111477, 0.37204340423612847, 2.179482470469303, 3.4468097301948357, 4.173349359545136, 4.377282649231416, 4.094752882154062, 3.3782553534140924, 2.294330170862072, 0.9208155662969977, -0.6562543952305996, -2.345988188626972, -4.056056468065147, -5.696093436838647, -7.181028051072817, -8.434198508339133, -9.390026003806094, -9.996202789253681, -10.215327068883017, -10.025926725686606, -9.422760294092972, -8.41654962709212, -7.03320351024727, -5.312425195584489, -3.305833856596999, -1.0746905601393755, 1.3126848141030671, 3.783936753163953, 6.265551796369906, 8.685415238645215, 10.975395323963086, 13.073682849839736, 14.926796165179544, 16.491211905457615, 17.734874883794888, 18.637734461408943, 19.191595681912187, 19.399770994873894, 19.276320994304793, 18.844926681225466, 18.13747783073049, 17.192624506808887, 16.053710871108482, 14.766662424613951, 13.378131374699846, 11.933711215180326, 10.476340930190535, 9.044952635520051, 7.673418874557054, 6.389650013179456, 5.215096568088041, 4.164635352001226, 3.2467475645727353, 2.463944916309739, 1.8134213233995449, 1.287856650019715, 0.8763778146599899, 0.5655925095384808, 0.3406100874634615, 0.18600565391239937, 0.08668354037712292, 0.028602640682628955, -0.0006617074296926704, -0.011508832523992457, -0.012104804873570421, -0.008358872011639165, -0.004057936100274342, -0.0011329426463143647, -2.5239854750610843e-05, -0.00011708247617508614, -0.00018933636232518458, 0.0011323222232727736, 0.0049794370135475665, 0.011919820215704069, 0.02173520208141848, 0.033312170323325715, 0.044656995433192195, 0.053025270190957964, 0.05515249902884855, 0.04756610693676673, 0.026952148844299355, -0.009453717229251092, -0.0634762830086143, -0.13563610143994242, -0.2248899479601743, -0.3284675023432219, -0.4418254890584112, -0.558735027508941, -0.671506157396392, -0.771336243073244, -0.8487755796375265, -0.8943249708311376, -0.8990678503476139, -0.8553419210447348, -0.75740119574491, -0.6020257170444501, -0.3890407565736687, -0.12171296177780967, 0.1930118182773088, 0.5444760491178323, 0.9185135415301601, 1.2977764486369812, 1.6622687548460044, 1.9900716573054362, 2.2582236688270387, 2.4437075094627754, 2.524508136336883, 2.480707510824704, 2.295563549358797, 1.956400461205196, 1.4554042500141737, 0.7902414345005176, -0.03553673121212517, -1.012317079992762, -2.124497418567961, -3.3508275792639157, -4.665064514786345, -6.036876238253683, -7.43291865320317, -8.81794590801975, -10.15605415024685, -11.41197199130858, -12.552339675098523, -13.54697464100021, -14.370295973342229, -15.002188507052063, -15.42847223631997, -15.641316123161515, -15.639408770587, -15.427873872461317, -15.01794883401508, -14.426656382778432, -13.676089511234498, -12.79209282455403, -11.80312037208824, -10.739090263884322, -9.630234065709157, -8.50599927437602, -7.394139661617014, -6.3197408803903405, -5.304410622802489, -4.365674414023396, -3.5166480414049257, -2.765943744795796, -2.11778236087222, -1.5723113512656917, -1.1260080662185168, -0.7722395698979535, -0.5019478797542868, -0.30436943570007535, -0.16777166147613637, -0.08015753222312114, -0.02990080215885753, -0.006278946047127486, 0.00010513838478540231, -0.0029680496726559474, -0.009488168806930817, -0.015235550096792696, -0.017680768454523765, -0.01578285234201272, -0.009710814338870121, -0.0005155949092596761, 0.010218190953803533, 0.020711766738441894, 0.029296854208342375, 0.03466339750000426, 0.0360329017621375, 0.03324839999700101, 0.026778589019525727, 0.01764027428490984, 0.007250069832653341, -0.0027781628791130777, -0.010869915395929441, -0.015737477592402408, -0.016607785884463724, -0.013411766943397633, -0.0069151255342015895, 0.0012261919813313785, 0.00849643374749125, 0.01164039056274456, 0.006870422276162813, -0.009852494141870637, -0.04248294726808642, -0.0945216276284056, -0.1686382829093105, -0.26631568037706066, -0.3875481232821573, -0.5306358609448489, -0.6920769821122715, -0.8665723632359911, -1.0471589116707305, -1.225472280750296, -1.3921311158933252, -1.5372513394488487, -1.6510779651903584, -1.724579111450961, -1.7500774904386855, -1.7218242437572553, -1.6365038735845612, -1.4936312442917512, -1.2958449214669874, -1.0490359013570318, -0.762139101374113, -0.4467913960761064, -0.11680748312433178, 0.21252801316062603, 0.525290506656732, 0.8058071823027662, 1.0396193022997653, 1.2145062461392895, 1.3213699675933455, 1.354979570918213, 1.3145330479382817, 1.203951469668297, 1.0318996967213283, 0.8115345399718362, 0.5599667996203469, 0.2974252070028283, 0.046175264381345504, -0.170756690033164, -0.33099553246836677, -0.41428188473275324, -0.4038799783322105, -0.28784851847387566, -0.060106433790543784, 0.27879118873090847, 0.721232578074226, 1.2525385103681728, 1.8514441007099416, 2.4910265116073127, 3.139991555746216, 3.7643254908767325, 4.329228507210037, 4.801233080737283, 5.150398722190095, 5.352566676412678, 5.391392835726737, 5.259800394222416, 4.961053974395751, 4.509286663528957, 3.929375740691902, 3.2561192629873226, 2.532741763112713, 1.8085620824108097, 1.1360185146924398, 0.5671029097280414, 0.14945324805914317, -0.07775512558865798, -0.08794688453065863, 0.1288771530969619, 0.5625856141249048, 1.1800439363024522, 1.9230527271210218, 2.7073307305269627, 3.4226825371209673, 3.9344322408663492, 4.086185490903165, 3.7039049444574728, 2.601169467064208, 0.5854587209822811, -2.5347981990782396, -6.9423353583302205, -12.802811829634965, -20.256710013246025, -29.411595393467003, -40.33494554862754, -53.04793925137552, -67.52072619463422, -83.66987618126299, -101.35648839544844, -120.38747061899667, -140.5178188443611, -161.45456848943655, -182.86283455066666, -204.37351651517466, -225.5931459806104, -246.11716683929018, -265.5423158326204, -283.47617864331124, -299.5476855836681, -313.4179425039851, -324.7902559331779, -333.4190077502538, -339.11921092797814, -341.77866491526714, -341.35496638482874, -337.87423113330766, -331.4298290717656, -322.17910828410965, -310.3382364896189, -296.17642336648385, -280.010679104239, -262.1952278977781, -243.1064254666971, -223.1307330288183, -202.6538685428567, -182.0504251908186, -161.67485986329064, -141.85352723061575, -122.87609433479956, -104.99053181712263, -88.3970631522693, -73.24568816572597, -59.63605213238815, -47.61904917523635, -37.19976566844427, -28.34145645510822, -20.97105147868252, -14.985458008957425, -10.257736619103223, -6.644066214640085, -3.9906994405055243, -2.140571992662473, -0.9393973255654561, -0.24087192383753944, 0.08906681454453219, 0.1690034289039309, 0.0998223574853732, -0.036510488624507176, -0.17718072671897583, -0.27782284810986435, -0.31104682553799146, -0.2643786093811702, -0.13779242690346663, 0.05898012930217603, 0.3092730903714825, 0.5922612905642228, 0.8854982357988738, 1.1671102724697355, 1.417581910634935, 1.6210869307207705, 1.7663469424403715, 1.8470573748268966, 1.8618852289349095, 1.814041687356718, 1.7105878420562413, 1.5615394162663259, 1.3788562774330388, 1.1754018044543142, 0.9639525873149969, 0.7563034378491532, 0.5625401145037066, 0.3905298066753409, 0.2456313933791529, 0.13062263835766957, 0.04582697255474592, -0.010595199650663014, -0.042209761156311434, -0.05378383080831957, -0.05073243473695224, -0.0385767272619595, -0.022456726857893943, -0.006732715478850174, 0.0053007994331749075, 0.0115745020641229, 0.011269115500331696, 0.00471882725500879, -0.0067859939623857125, -0.02127254760739038, -0.036404991364324346, -0.04981940416466015, -0.05943670036473421, -0.06372190616665248, -0.06186979735607636, -0.053901222700018125, -0.04066347617502845, -0.023736856927976425, -0.005259546204749589, 0.01232054717756297, 0.026532431704658715, 0.03517735194372725, 0.03660544006727258, 0.02994543474118832, 0.015262015825781688, -0.006381388611246999, -0.032960807122888035, -0.061634576561929284, -0.08898355029028913, -0.11133139492447569, -0.1251209169214262, -0.1273188626983132, -0.11582049887546862, -0.08978847280626454, -0.04990953144205397, 0.0014582218339600627, 0.0602736830515464, 0.1209506860754848, 0.17664660636239463, 0.2196948666350477, 0.2421795180786636, 0.23659219487405242, 0.196535422077103, 0.11742755720893161, -0.0028423885055289307, -0.1633647695490327, -0.3598151778999407, -0.5842483880532755, -0.8251234188010221, -1.0675738496653553, -1.2939276380341436, -1.4844655428162283, -1.6183925151749092, -1.6749601149896258, -1.634675150527606, -1.4805632224661014, -1.199385434958887, -0.7827496616729672, -0.2280431947914443, 0.46093912282683586, 1.273767894582164, 2.19334420930838, 3.1962441305577074, 4.253447411566872, 5.331387807515067, 6.3932941247492785, 7.4009664030018305, 8.316770362481245, 9.105173622926554, 9.734439786388624, 10.17824119472794, 10.417084858987257, 10.439368378126854, 10.24234044891462, 9.832492139870693, 9.224950006759212, 8.442790395922579, 7.515991859907559, 6.4800456922493845, 5.374293147556306, 4.240104447602029, 3.118777118863458, 2.049339241142426, 1.066716478410959, 0.200150513464069, -0.5280616734819517, -1.103444525559409, -1.5198620811471961, -1.7795344811463951, -1.89244600744746, -1.8753585954647245, -1.750469318468809, -1.543789624261646, -1.2833454916670701, -0.9973464215545765, -0.7122722097144717, -0.4510881440871512, -0.23181440118660615, -0.06645559498162523, 0.03965089174262554, 0.0880301034936287, 0.08680662185561194, 0.049971626636458294, -0.0037967272265754266, -0.05264966775656847, -0.07332048120678034, -0.04300309895712156, 0.05876056667141831, 0.24828334674192998, 0.5361726529489798, 0.9261417367875469, 1.4142493745626392, 1.9886266098881147, 2.6297194759441918, 3.3110463906339684, 4.000451291475754, 4.661808255604499, 5.257035630578471, 5.748301339720386, 6.1002765739265445, 6.282376832320784, 6.270832820714087, 6.050525774107509, 5.616229460891798, 4.973318577243343, 4.1379487061428035, 3.1366042307407347, 2.0049718859633083, 0.7865080812313835, -0.4695437817020478, -1.7106476116160765, -2.8836053799778485, -3.9372356972058777, -4.824986702614089, -5.50738728252589, -5.954269675012107, -6.1464240863965856, -6.0764916400803575, -5.749283727568637, -5.18152831123567, -4.401004726854962, -3.4451141431106174, -2.3590420543282287, -1.1936267138207055, -0.002429146747259489, 1.1610512059212277, 2.246012900361154, 3.2067979706176337, 4.005021436438472, 4.61125134471369, 5.006200949971517, 5.181484341445718, 5.1396053582837355, 4.893361996301402, 4.464738356345643, 3.8833566882910793, 3.18459371686675, 2.4074711562544255, 1.5923693727935362, 0.7786808843160539, 0.002832782065711369, -0.703431738417259, -1.3144341078104036, -1.8115243133199772, -2.183602193898162, -2.427139977398012, -2.5457889289888436, -2.5496414938370666, -2.4539117709253717, -2.27749461219034, -2.041464569522152, -1.7675532589693677, -1.47667590954957, -1.187663817123554, -0.9162677606602422, -0.6744720648851549, -0.47008383286517597, -0.306733522077157, -0.18421006051167244, -0.09907192716687035, -0.04547801597170133, -0.01615090924838827, -0.0033853259724078515, -1.3604122910126472e-05, -0.0002470506110592576, -0.0003206405161292381, 0.0011170779637349434, 0.002900468991358076, 0.0015368794897672505, -0.008326434446246683, -0.03319817155152284, -0.07986503486823684, -0.15442188602380186, -0.26129358421186466, -0.40234007739169864, -0.5761308237860195, -0.7774644503717776, -0.9971947352189432, -1.2224351095333301, -1.4371363213100097, -1.622945324356746, -1.7603636638305857, -1.8301285459564316, -1.8147222850960758, -1.6999075830180432, -1.4762007123157939, -1.1400756457880037, -0.6948768843263058, -0.1512412854241235, 0.47293716552352183, 1.1530378160024268, 1.8587637343064145, 2.555742252589784, 3.2075335421154834, 3.7778616705358297, 4.233005106934164, 4.54428696132658, 4.6903979316664, 4.65942451266895, 4.450532748203483, 4.074863666461626, 3.55570480461211, 2.9279889563243535, 2.2370374103641004, 1.5365621614709803, 0.8860285490028967, 0.34748960252837213, -0.01803081052696958, -0.15425863260873318, -0.0133065403971593, 0.44095609723949175, 1.2300185401969734, 2.3585344670871793, 3.8130467422927237, 5.561685707217744, 7.554855152101245, 9.72693513440525, 11.998942742921752, 14.282071192325537, 16.48210197111889, 18.504522108325922, 20.259270191838198, 21.66541825452637, 22.655608334522405, 23.17988817644858, 23.208719553124823, 22.735198327564994, 21.77653456460979, 20.372800613636176, 18.584846404482303, 16.491284740448908, 14.184461672413805, 11.765610483610361, 9.33954454413425, 7.009089933858649, 4.868931041747481, 3.000090269832006, 1.4653160503371807, 0.30546649131713705, -0.462927036219763, -0.8487622184216098, -0.886088126259241, -0.6323664024030589, -0.16527693075662864, 0.42171600025648054, 1.0247584586538387, 1.535674757870387, 1.8483851998028513, 1.8653261032337805, 1.5035121313795041, 0.6998844095739246, -0.5843703369353194, -2.360824658099236, -4.612259311545017, -7.292781978235731, -10.329656208594729, -13.626357977256127, -17.067018107253492, -20.522043015728602, -23.854755421674724, -26.92827949479041, -29.612959787143403, -31.79345285652704, -33.37423287212856, -34.284569530047136, -34.48233897774012, -33.95650719659316, -32.72826372123104, -30.850435430532336, -28.404912525018364, -25.497979456476077, -22.255126249575373, -18.814995572361724, -15.322725557055811, -11.923059767610408, -8.753655662049066, -5.938272204164631, -3.580880018101926, -1.7611981837516393, -0.5315138823937742, 0.08509805918384039, 0.09509710930683708, -0.46666520338996687, -1.5395765556848775, -3.0411401837631846, -4.871772960317959, -6.920265913217826, -9.069615694948757, -11.202944571135042, -13.209486049577865, -14.989891402827961, -16.46054615036611, -17.556806998938068, -18.235178212894485, -18.474356640274255, -18.27515203203924, -17.659647086170406, -16.668715888314008, -15.35860306196736, -13.797209834773973, -12.059854194319612, -10.224999626870073, -8.370141889484865, -6.568103304791252, -4.883461673481743, -3.369766360503714, -2.0676638219309393, -1.003820125437028, -0.1907536099028979, 0.37258023382125205, 0.6995515644725714, 0.814035094725672, 0.748119338881504, 0.539557920457425, 0.2291354358200213, -0.14191902092435305, -0.5343354412624457, -0.9128684995935674, -1.2478955024640543, -1.5165094026752073, -1.7031123491744224, -1.7995156513804846, -1.8045974954412218, -1.7235995480910133, -1.5670666223636969, -1.3494863611176666, -1.0878686854425081, -0.8003461831353944, -0.5048617297364618, -0.21801713120539742, 0.04585780200666177, 0.2753951951857688, 0.4626258208194456, 0.6030950921283611, 0.6957203995861979, 0.7424378033851855, 0.7476869721314693, 0.7177899440494091, 0.6602806927380662, 0.5832343247683801, 0.4946252891219798, 0.4017922525954493, 0.31103033793918805, 0.22732003160958156, 0.15419228057859746, 0.09372165965570692, 0.04664404192325196, 0.012557229351893339, -0.009823892938197062, -0.02237977384208771, -0.02729979055559948, -0.026824006731886157, -0.023028972624927632, -0.017668478946580114, -0.012083132824252782, -0.007171919125159705, -0.00341628742330315, -0.0009464551531366283, 0.00036575314216658766, 0.00080374984808077, 0.0007073768098014465, 0.0003912424569501829, 8.884305743446492e-05, -7.380990883016045e-05, -7.592175000516218e-05, 2.434873075619924e-05, 0.00013191936562779248, 0.00016223159150431795, 8.345020974172222e-05, -5.59556082239414e-05, -0.00012101382308070148, 9.14549163815525e-05, 0.0008112808461415363, 0.0022362225041892576, 0.004466114891512852, 0.007442561539055033, 0.010908258604512038, 0.014399554013618903, 0.01728341684574876, 0.018847036094331637, 0.018438916166986532, 0.015651297444778712, 0.010531657682852318, 0.0038003879800662197, -0.0029539088410744825, -0.00713416488823773, -0.005084434136514612, 0.007835928414112675, 0.03703365437763878, 0.0883051050922391, 0.16729915054577565, 0.278833577087903, 0.4260971566269109, 0.6097969895543359, 0.8273256433413236, 1.0720203615097332, 1.3325995765832197, 1.5928731345575422, 1.83181760525252, 2.0241037137483624, 2.1412160364058272, 2.1530497297880613, 2.0299790327117684, 1.7454455478943767, 1.278919712623185, 0.6191495927710828, -0.23245261268835513, -1.2584526653197674, -2.422571249845946, -3.6674156343500703, -4.912938243654683, -6.05592771715138, -6.9706294512102955, -7.5107101383874175, -7.512992094856746, -6.802386045366289, -5.197973591864429, -2.520332355390143, 1.4001897846008189, 6.714635942668918, 13.54632119618725, 21.98137640898612, 32.06094649738352, 43.77442582682724, 57.05397303829767, 71.77090789709023, 87.73450967265468, 104.69410671007562, 122.34373330423712, 140.32894263234775, 158.2558408244267, 175.70233805590294, 192.2311870213613, 207.40436079662211, 220.79963451050682, 232.03095462734973, 240.76032056875587, 246.7097597389385, 249.67259479927668, 249.52232130687835, 246.2186753983047, 239.8120456054044, 230.4468423441611, 218.35486680942395, 203.8446251922258, 187.28989777907825, 169.1164452434064, 149.7868332230316, 129.78511647470543, 109.60097711480427, 89.70951147709131, 70.55495055234832, 52.535137748328296, 35.98920708893565, 21.188309589077445, 8.329684758905614, -2.466412503406027, -11.157266802943136, -17.774048603827072, -22.415367331469124, -25.238156919616873, -26.446504654950296, -26.279230214439384, -24.99675454733133, -22.867838746494385, -20.157071127311998, -17.11365303543747, -13.9619274827047, -10.893738664729817, -8.063105454738597, -5.583369476411249, -3.5269898496309593, -1.9274752201218506, -0.7832035586710047, -0.06276778164685283, 0.2885803961788133, 0.34187321813050203, 0.17705739289134348, -0.12408728581778286, -0.4841667220214965, -0.8353378877028863, -1.1232006724169834, -1.309293170196445, -1.372210833347374, -1.3071998108153156, -1.124410439118047, -0.8462159887649023, -0.5038290382759689, -0.13351844749415528, 0.22726111531493282, 0.5435533457845548, 0.7861360640883767, 0.9339575137473805, 0.9756696659357068, 0.9102254390531435, 0.7465459405047938, 0.5023323663336234, 0.2021537988531754, -0.12507325117588527, -0.448916054646242, -0.7402845071209202, -0.9740852961840514, -1.1314747108636254, -1.201544643264401, -1.1823706978482158, -1.0811863063266067, -0.9137172232228543, -0.7028223706409582, -0.4764948136949621, -0.2654316432991355, -0.10036063868479075, -0.009324648846869621, -0.015087717813340092, -0.13296447347991286, -0.3692362397962188, -0.7202698041708399, -1.1724103601131635, -1.702652519099696, -2.280062335289316, -2.8678613340095933, -3.425989625298879, -3.913964762980985, -4.293849818740798, -4.53314283158372, -4.607242062898097, -4.5014628400757974, -4.2122500154575055, -3.7476191294807677, -3.1268201274702987, -2.3792121764394896, -1.5424295497944516, -0.6599434844143498, 0.221885202213273, 1.0569802860036348, 1.802635334471925, 2.42234730427367, 2.8882199939958806, 3.1827714564668916, 3.300052218310855, 3.2460265709142324, 3.0379029695537514, 2.702720650013352, 2.2752966524759217, 1.7956514267124524, 1.3060948363493536, 0.8481750284505978, 0.45969710023708504, 0.17205124406935168, 0.00801869659384201, -0.019739541056847696, 0.09056178031705985, 0.3298703210256918, 0.6791365448804791, 1.1109397926303106, 1.591675984003706, 2.0841426856768637, 2.5503865925440476, 2.9545699965650556, 3.265647459841723, 3.4597297303346966, 3.521916802886335, 3.4471956668838306, 3.2406627379882607, 2.9169982275542865, 2.4991959785332214, 2.016661753863592, 1.502840655197755, 0.9924614151961934, 0.5186183868238705, 0.11006923589916484, -0.21112920607137528, -0.4314784112650366, -0.5472385757549977, -0.5648976016392249, -0.500812319505931, -0.3799767676316212, -0.23411845397519052, -0.0992280302069144, -0.012690544736770885, -0.01022095343038593, -0.12282331767302182, -0.37400602669258015, -0.7775073956181919, -1.3356912706877837, -2.0387293053186526, -2.864647126350474, -3.780259996452434, -4.743053440474745, -5.703814926570306, -6.609707023511983, -7.407723960750766, -8.048275304157276, -8.488654997077361, -8.696172473425097, -8.650926618126869, -8.347520360274011, -7.7956446076104635, -7.019891346954064, -6.058608199582373, -4.961848289625167, -3.788540469516087, -2.6031031935769224, -1.471343238284566, -0.45619719706719714, 0.3860374147360223, 1.0091372599806527, 1.3798199015302268, 1.4798390922401221, 1.3072419928022267, 0.8765160210782946, 0.21761569591281502, -0.6259822711429733, -1.6000914608185142, -2.64317851670889, -3.690140143693321, -4.676387836237535, -5.541825277911421, -6.2343965983593, -6.713131667179966, -6.9505304870136975, -6.933838221214666, -6.665457580656341, -6.162623756809123, -5.455906514352516, -4.586862436395911, -3.6051286197812487, -2.565099321759842, -1.52238155324188, -0.5302118431393483, 0.36372522797062656, 1.1201968354582688, 1.7105145112362046, 2.1178159002836434, 2.3375684244652404, 2.3773060795984784, 2.255703724440025, 2.001191657082831, 1.6496952275824632, 1.2417532776699192, 0.8193685431796313, 0.42280037935982856, 0.08755153411787654, -0.1584166780483004, -0.2963831921241898, -0.31534959759385034, -0.21099563558784606, 0.015315743675483103, 0.35768809914978916], 'positive_zeros': ['0.29567899488305437357988995352794', '0.30238215803823744485330269869494', '0.40163074616676264989797119048579', '0.77757473668189542093797480048397', '0.883832664934550897832233393415136', '1.09331883629882209740052205234481', '1.36587292864006128650683538779568', '1.47878245339818417351268734892553', '1.72984685500094716152526911333129', '1.79663543066838015810877549354252', '2.14563280827196736206661053735027', '2.16840228093825969995445582415162', '2.20020630724303478741537069825070', '2.30255259313096482679343032264087', '2.32446836611097229554104711967764', '2.53762356528208536103592285304296', '2.64176876165796587504933622914812', '2.71102493796635944869142657225919', '2.92239198765319028027625880196250', '3.05450807932135339451737148137600', '3.16559420110965071440073391893812', '3.30900445827905201509081723525260', '3.52999571760731213965198245144845', '3.64261934060268922481905227070253', '3.71521428400016916625700171820051', '3.86178926020645931022489251249701', '3.98428804014244302737861972706654', '4.03102390240013526566556526313856', '4.07009212362923903071821828773489', '4.09232291787388657322323951946119', '4.31229336303818546787397437117807', '4.51774111676448274061594681834294', '4.61351023994413010931123052094843', '4.66868499542958691153667999092481', '4.71234815778049209066645967258068', '4.92428999587726058145466731025843', '4.93973611515841171227827295151091', '5.07793579336397721031920132231373', '5.17042004408751570196637298521969', '5.18675809127583025176545779913036', '5.30313902338032194816813287620491', '5.55779626453618099204478418941951', '5.62203971542636644829311432105749', '5.73820657875167720095842508257582', '6.00559887002682462076214887479610', '6.05045225412570013854515103720264', '6.05396392683782687043153081877505', '6.06663853269172108341987142238443', '6.14341207468134505582758214308920', '6.26516004675440416231830378686416', '6.37178095313207016079511814587735', '6.67892095902479132541478197391302', '6.68131313941734770669235831747447', '6.73132414817612216394932104199854', '6.80207295455351114580425422080670', '6.84705519586216884443890629404326', '6.87389155640221616145672592180543', '7.04847743240483305600251438093168', '7.14988030474113520220804235230228', '7.19387329956616588355522333925312', '7.35750808466117897849857814502548', '7.37208429196009917711949149474688', '7.45034225473810469631041790539295', '7.85612322115368534015045685951091', '7.87903353508671643579487573453688', '7.922835427607513078634795481195158', '8.084256874623012125286406918486003', '8.133603286645851923943147037144143', '8.162506997130099181092949449561273', '8.241854221082822611574291790361311', '8.289052891619699559046944690721596', '8.364068089054724299599877109924911', '8.430027507360631288710104191339442', '8.535297602527139546119536867704246', '8.725017949912561781566753858535484', '8.829762114306482180618888465550035', '8.861803307951980336884145203416276', '8.888096712624296420966371227211997', '9.050000590394276286213988894016496', '9.279810001149367271879783153563545'], 'prelabel': '16-2700e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.64323255348531, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e8-0', 'trace_hash': 1810596569997526599, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.29567899488305437357988995353', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.30238215803823744485330269869', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.40163074616676264989797119049', 'prec': 103}}