{'Lhash': '701698721124739900599761120144,1267691132752884927468667803934,1366212912818863936116046871268,1903125741151059905421983205737', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.17534124258706, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '3888.1', 'coefficient_field': '1.1.1.1', 'conductor': 228509902503936, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, -2, 0, 3, 0, -2, 0, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 2, 1, 2, 4, 2, 1, 2, 1], [1, 0, 0, 0, 2, 0, 0, 0, 1], [1, -4, 10, -16, 19, -16, 10, -4, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, 2, 0, 3, 0, 2, 0, 1], [1, 2, 1, 2, 4, 2, 1, 2, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 2, 0, 3, 0, 2, 0, 1], [1, -2, 1, -2, 4, -2, 1, -2, 1], [1, 0, 2, 0, 3, 0, 2, 0, 1], [1, 0, 0, 0, 2, 0, 0, 0, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 2, 1, 2, 4, 2, 1, 2, 1], [1, 2, 1, 2, 4, 2, 1, 2, 1], [1, 0, 0, 0, 2, 0, 0, 0, 1], [1, -4, 10, -16, 19, -16, 10, -4, 1], [1, -2, 1, -2, 4, -2, 1, -2, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, -2, 1, -2, 4, -2, 1, -2, 1], [1, 0, 2, 0, 3, 0, 2, 0, 1], [1, -2, 1, -2, 4, -2, 1, -2, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, -4, 10, -16, 19, -16, 10, -4, 1], [1, 0, 2, 0, 3, 0, 2, 0, 1]], 'euler_factors_factorization': [[1], [1], [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], [[[1, 0, -1, 0, 1], 2]], [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], [[[1, 1], 4], [[1, -1, 1], 2]], [[[1, 0, 0, 0, 1], 2]], [[[1, -1, 1], 4]], [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], [[[1, -1, 1], 2], [[1, 1, 1], 2]], [[[1, 1], 4], [[1, -1, 1], 2]], [[[1, 0, 1], 4]], [[[1, -1, 1], 2], [[1, 1, 1], 2]], [[[1, -1], 4], [[1, 1, 1], 2]], [[[1, -1, 1], 2], [[1, 1, 1], 2]], [[[1, 0, 0, 0, 1], 2]], [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], [[[1, 1], 4], [[1, -1, 1], 2]], [[[1, 1], 4], [[1, -1, 1], 2]], [[[1, 0, 0, 0, 1], 2]], [[[1, -1, 1], 4]], [[[1, -1], 4], [[1, 1, 1], 2]], [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], [[[1, -1], 4], [[1, 1], 4]], [[[1, -1], 4], [[1, 1, 1], 2]], [[[1, -1, 1], 2], [[1, 1, 1], 2]], [[[1, -1], 4], [[1, 1, 1], 2]], [[[1, -1], 4], [[1, 1], 4]], [[[1, -1, 1], 4]], [[[1, -1, 1], 2], [[1, 1, 1], 2]]], 'gamma_factors': [[], [0, 0, 0, 0]], 'group': 'GL2', 'id': 19601627, 'index': 0, 'label': '8-3888e4-1.1-c0e4-0-0', 'leading_term': '1.79925363797848911028589894980705713943441140801135512321247470235461047231748608822172970', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, '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}], 'nu_real_doubled': [0, 0, 0, 0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3888/1/q/d', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0126953125', 'prec': 40}, 'plot_values': [1.7992536379784894, 1.800725170763314, 1.8020521841264239, 1.803649609864863, 1.8059287245339717, 1.8091864712317378, 1.8132728629741326, 1.8179215491588567, 1.8228595079329375, 1.8278220190229502, 1.8325991742733787, 1.8369884360017783, 1.8407784269270728, 1.8437339500355776, 1.8455523171209212, 1.8459070916936662, 1.8444630168874705, 1.8408746129998335, 1.8347811041498479, 1.8258146434599771, 1.8136043640493726, 1.7977773967035753, 1.7779582847258537, 1.7537767950676333, 1.7248730157027243, 1.6909034720582596, 1.6515519136060202, 1.6065289222256154, 1.555575233125519, 1.498470890241397, 1.4350520306549444, 1.3652056694691788, 1.288871665691194, 1.2060531280124511, 1.116835826897654, 1.0213779083600691, 0.9199093401960443, 0.8127410056809855, 0.7002824149718055, 0.5830264697889915, 0.46154519602293986, 0.33649494268220204, 0.20862845137768687, 0.07877472689635642, -0.05216991679562095, -0.18324261407253026, -0.3134105511389801, -0.4415950918849446, -0.5666854392886056, -0.6875461839834882, -0.8030239109134741, -0.9119730610004406, -1.0132728340831885, -1.105840556502214, -1.18864727539967, -1.2607415101945274, -1.3212662331053238, -1.369475035802339, -1.4047530856112256, -1.4266336927869114, -1.4348108321721544, -1.4291533527694844, -1.40972543698405, -1.376790680741734, -1.330815185328969, -1.2724742879980824, -1.2026655956723444, -1.1224965656536527, -1.0332742077036299, -0.9364995929149916, -0.8338673279529807, -0.7272356058812108, -0.6186012026389128, -0.5100796013818646, -0.4038877626322854, -0.3022999249526917, -0.2076105437000242, -0.1221019779649432, -0.048012295010875276, 0.012515216012624062, 0.05747411148624726, 0.08503284695073124, 0.09357447720057245, 0.08174182058583875, 0.048473964858646496, -0.00696061817835314, -0.08492919940772581, -0.18540765367973724, -0.3079612625591086, -0.45172884118515905, -0.6154071029032204, -0.7972516915752038, -0.995084794275394, -1.2063068098316752, -1.4279120866866322, -1.6565219057058753, -1.8884225176206564, -2.119608648785746, -2.3458356068564177, -2.562678968360834, -2.765598134532289, -2.950006883613559, -3.111355883230047, -3.245204584810579, -3.347296464214357, -3.413641928548433, -3.440613186981625, -3.4250075772481385, -3.3641143111071004, -3.2557874932087234, -3.0985258819940125, -2.8915065789504326, -2.6346221867501294, -2.3285196467198577, -1.974634495565575, -1.5751811676236294, -1.1331456147400032, -0.6522710801494435, -0.1370224874784217, 0.4074661974922069, 0.9754461918246701, 1.56062744693544, 2.1562936450566115, 2.755379725252254, 3.3505591833498984, 3.9343662949033864, 4.499379654038707, 5.038291114842489, 5.543997941431525, 6.009746936105417, 6.42935573240032, 6.797232584365512, 7.108437894071398, 7.358814007835968, 7.545200836699766, 7.665371628392924, 7.718032453907823, 7.702903106078184, 7.62088372142015, 7.4738908764492935, 7.264779660709955, 6.997355071951295, 6.676460768422396, 6.307728366939611, 5.8974310470128835, 5.452427760036147, 4.980170523529323, 4.488409163695898, 3.9850103953299914, 3.4778617027564716, 2.974821511424276, 2.4834413926263506, 2.0108010083207373, 1.5634154940883933, 1.1471730390293868, 0.7671380932868334, 0.42745292021360076, 0.13129406598954615, -0.11915437073395009, -0.32277290437274797, -0.47950600104234387, -0.5903271265703601, -0.6571974164192617, -0.6830064446292384, -0.6714723557867464, -0.6270290001068611, -0.5547152473966521, -0.46001970998053415, -0.34871740356188935, -0.22671280654273956, -0.09989324369406065, 0.026054974369821886, 0.1458120188861619, 0.25456855085050856, 0.3481511755909478, 0.4231585182758717, 0.47706345855150434, 0.5082852151442178, 0.5162359423968684, 0.5013523390187254, 0.46509081261790747, 0.4098915228680748, 0.3391145228896619, 0.2569527566874916, 0.16831717678416075, 0.07869786893919026, -0.005996676378625495, -0.07960983928384012, -0.1359197239570699, -0.16883154118638616, -0.1725745690305212, -0.14188446214487158, -0.07218149035074001, 0.0402616130321303, 0.19817546302592237, 0.4031764635281531, 0.6556671513441595, 0.9547696171323323, 1.298317612057222, 1.6828505974067858, 2.1036354674001103, 2.554743861480726, 3.029222588216342, 3.5191910394237884, 4.015974065815564, 4.510310232031948, 4.992678658274054, 5.453434210709361, 5.882988187942323, 6.272079797235051, 6.612176426374456, 6.8955480678053185, 7.115403483113889, 7.266127554301542, 7.3436405798117255, 7.345323260730877, 7.270026933798116, 7.1181904508614435, 6.89205859281326, 6.595422257432133, 6.233471172456204, 5.812753948040672, 5.341213031695191, 4.82778180735719, 4.282117590518208, 3.7144375754441397, 3.1354048247000392, 2.5556916985145013, 1.9856892935968922, 1.43530941571568, 0.9138186642761451, 0.4295035652603353, -0.010528586994799204, -0.4004738876365358, -0.7359346303369961, -1.0140490043550139, -1.2335171451259308, -1.394576990816325, -1.4989665773842575, -1.5498251510793875, -1.5515383509864031, -1.509563362107732, -1.430250924736936, -1.3205890801829083, -1.1879421607487992, -1.0398007193833108, -0.8835442690571078, -0.7261646293471551, -0.5740250090601223, -0.43265517088569355, -0.30657808392516234, -0.1991537689500124, -0.1124779533965106, -0.047329197134907956, -0.0031603776374149713, 0.02185898845082636, 0.030751065963423696, 0.027594660148096983, 0.017349468277163816, 0.005639066602874511, -0.001491068921687407, 0.0021641003828421577, 0.02269348804050068, 0.0657927186140584, 0.13649384245688706, 0.2389108626689346, 0.3760214918393096, 0.5494760932495909, 0.7594409323953679, 1.0044979180135805, 1.2816406279662378, 1.586267304911007, 1.9122245901347537, 2.2519432372890464, 2.59672201075734, 2.9368941788264995, 3.2620517654705283, 3.5613847989266683, 3.824194396965974, 4.04010775385924, 4.199356754979234, 4.293179695646605, 4.314386870907851, 4.257441916414154, 4.118620952692941, 3.8962906840113964, 3.5913089836642493, 3.2068297184706753, 2.748211826061756, 2.223036526145758, 1.6411906386532655, 1.014378726956523, 0.3557724351289097, -0.3202445130919719, -0.9983153748651902, -1.6627506454973942, -2.2980062772237555, -2.8890789046791086, -3.421913279195343, -3.88394921172365, -4.264506762616523, -4.555104174932486, -4.749791529915557, -4.8453669554474095, -4.841466956229825, -4.740613388243972, -4.548266615690019, -4.272604391178363, -3.9242431428074553, -3.515951251890531, -3.0623648717866607, -2.5794206462906475, -2.083813728942457, -1.592492243354318, -1.1221713024595863, -0.6886788485378698, -0.30639828220733556, 0.01220816254135812, 0.25701848208730527, 0.42068364217474596, 0.49892645489318893, 0.4907293220306203, 0.39842257245640084, 0.2276910035338553, -0.012546629341038432, -0.31037269735196793, -0.651222917627267, -1.0183001714709523, -1.3930729261303878, -1.7558581033444214, -2.0864895966196992, -2.364934949976938, -2.5719396163454458, -2.6896948958884828, -2.702502512945133, -2.597277480323405, -2.3640289666819774, -1.9962847802094756, -1.4913811464738886, -0.8506078692621422, -0.07929975480580506, 0.8132128422078371, 1.8139277717410098, 2.9064137773184293, 4.071128181421152, 5.285951991008082, 6.527108295916222, 7.769578669198566, 8.98762592486612, 10.155596764875321, 11.249159157321795, 12.245537271390207, 13.123914521013301, 13.866164525183965, 14.45800621822265, 14.888748718363935, 15.151301056630023, 15.242544550248036, 15.164073891919562, 14.921362851223194, 14.523307308764615, 13.982150087908467, 13.313701603876162, 12.536119109797367, 11.669153179787076, 10.733772023258956, 9.752013730990909, 8.745766703155635, 7.736044296982974, 6.74260070259734, 5.783719417442533, 4.8753845824071025, 4.030889072032867, 3.2607102770624405, 2.572508975676426, 1.9708884993902251, 1.4574596180313246, 1.0310704112810498, 0.6881047947224139, 0.42274403240455805, 0.2273706867871311, 0.09302705215940517, 0.009880695507855173, -0.03231469512773704, -0.04375749429790071, -0.03417137403111758, -0.012427743276545, 0.013774338843312889, 0.03815147211812791, 0.05599978129441171, 0.06427994765488813, 0.061609403034976445, 0.048174495047411336, 0.025571753863028027, -0.0034161612222184134, -0.03510192283867116, -0.06520689785411209, -0.08919729008831227, -0.10263111872099931, -0.10148072762538338, -0.08242963651488953, -0.043133162195903726, 0.017581365911144547, 0.09959066295230297, 0.2014077567906356, 0.3201906013432102, 0.45186364450552713, 0.5912700778238671, 0.7323725634351295, 0.8685358154299522, 0.9929290891758826, 1.0988137181916326, 1.1798506176860692, 1.2304664358247217, 1.2462994312887972, 1.2243577935912475, 1.1631807172257993, 1.0630288256550386, 0.9260932515947343, 0.7563232449934763, 0.5592741974919242, 0.34197410910368187, 0.1127655983720723, -0.11918097942016177, -0.34428368359742345, -0.5529291561575034, -0.7358756795297373, -0.8848064418904377, -0.9927574724464597, -1.0544756470595473, -1.0667577146770149, -1.0287365630429182, -0.9420205341518331, -0.8107403951898579, -0.6415307164865006, -0.4433501469122455, -0.22718818542578723, -0.005695532074740957, 0.20725667571421522, 0.3971388558001556, 0.5493583628612025, 0.6498691041092125, 0.685790891409199, 0.6460182466510003, 0.521770758553604, 0.3070674634669316, -0.0009024181646066064, -0.40150538028434657, -0.8905114223117878, -1.4601001462362009, -2.099083973358037, -2.79313974676611, -3.5251772923035647, -4.2759070763316975, -5.024677984673765, -5.750037402738347, -6.430407479843714, -7.044947811414932, -7.574648718420163, -8.002780583736198, -8.315438313751333, -8.502222737592486, -8.557039873470458, -8.478011877872945, -8.267494412033814, -7.9321794566011095, -7.483193244054115, -6.935346980881582, -6.306542150090117, -5.61723901123642, -4.889858820970039, -4.147676683729068, -3.4139238949282102, -2.7109688881040612, -2.059468084823254, -1.4774731488744008, -0.979763108562181, -0.5772893229282903, -0.2767012600039469, -0.08016034822880728, 0.014675086571357202, 0.014531403876830579, -0.06979523801565114, -0.22404051759446972, -0.4311341733198329, -0.6719797199790919, -0.9264762950820775, -1.1744876319614896, -1.3967580815090188, -1.5758971557806545, -1.69754977953997, -1.751040892365075, -1.7299158774730394, -1.6324974638021736, -1.4625028845172352, -1.2288273782310977, -0.9452705531553418, -0.6302618592626339, -0.30653208374998175, -1.1785607983721056e-05, 0.2612013668590942, 0.44783785194739434, 0.5305297096069859, 0.481258199308138, 0.2745934121277114, -0.11118727285299021, -0.692996378117145, -1.4819328062699355, -2.4825662605575376, -3.692436421173341, -5.101737525857941, -6.693305899568856, -8.442884584973351, -10.3196676360835, -12.28718739092824, -14.304228626397055, -16.32595044165373, -18.305306410990333, -20.194870931244793, -21.948007475314814, -23.520193309738264, -24.87062683248019, -25.964181155228378, -26.771936982264318, -27.271908081517363, -27.450028442287504, -27.301340244874595, -26.82933107278897, -26.045597442621638, -24.969764539529933, -23.62945188444502, -22.05854385301831, -20.295952623359987, -18.384640802165052, -16.370590753393046, -14.300769349257719, -12.221676412163168, -10.178133827842075, -8.211994839399098, -6.360751984678873, -4.656661073124973, -3.126031847413589, -1.7884528223238974, -0.6566258647903723, 0.263514098954258, 0.9726458074033008, 1.4779684341524955, 1.7922401391524063, 1.9328397784614089, 1.9209500505531754, 1.7808275672720322, 1.5383898541488874, 1.220079861433599, 0.8519657192401626, 0.4589687362803501, 0.06380399380896032, -0.3137039542178555, -0.657049712896049, -0.9533352032072638, -1.1935234319326025, -1.3723934695595619, -1.4883195331011643, -1.5429563315735537, -1.5407993823336419, -1.488623482044318, -1.394878662110639, -1.2690846940582112, -1.1212027100537296, -0.9610484710371443, -0.7977761848268197, -0.6394461543429822, -0.49270325622201844, -0.36256297565878465, -0.2523041684380768, -0.16346909065899304, -0.09600081698516472, -0.04844812269036192, -0.018231166309934592, -0.0019613602125411606, 0.004194090769804351, 0.004166177757309173, 0.0016590193348050449, -0.00013989729872294682, 0.0012139695356599494, 0.007269042231069881, 0.01859936272750658, 0.03481979298563166, 0.05467424261188248, 0.0761827920310205, 0.09685399280437515, 0.11397285635425483, 0.1248569141422258, 0.12711249314615905, 0.11889845247852636, 0.09918681495268397, 0.0678718654946875, 0.025836327376067045, -0.025027671951035866, -0.08187457356869136, -0.14111962292370522, -0.19868042555593424, -0.2502635889967221, -0.2917307406903159, -0.31948189805655813, -0.33080245287319227, -0.32419932325144013, -0.299737048995046, -0.25920712469614476, -0.20620646130495004, -0.14614111823934353, -0.08613123237680083, -0.03468798049060803, -0.0013125067095237392, 0.003987257237201327, -0.028697374791500595, -0.10848372434049995, -0.24301784877780766, -0.4377915985333977, -0.6954374282466655, -1.015181780141873, -1.392427684730601, -1.8184642352403835, -2.2803303729151265, -2.7609583274529377, -3.2395132689549473, -3.6919537756028684, -4.091864309035494, -4.411398684591418, -4.622390057094417, -4.69765439734865, -4.612485148225181, -4.345878426487793, -3.8818150402626976, -3.2105599719103135, -2.3298294280335634, -1.2454406076123754, 0.02810861736490733, 1.4673159090235461, 3.0399486816394203, 4.705537892602842, 6.416032609481511, 8.116980209792185, 9.74970786017958, 11.252710690916835, 12.56325971745018, 13.619709976443836, 14.364956137250372, 14.74765007846997, 14.72372591780769, 14.258669962159242, 13.330755610583088, 11.930830023993757, 10.062583226506069, 7.743503387711132, 5.006377049772109, 1.8970652032379283, -1.5269913138929359, -5.197692402222058, -9.037118091798387, -12.961129750785993, -16.882037739431407, -20.710833482633706, -24.359670728698312, -27.74522854289922, -30.791138925816476, -33.43015571350938, -35.60670645639081, -37.278332364712654, -38.41649086568163, -39.00733890084234, -39.05289930209947, -38.569853761437, -37.58824273502038, -36.15043654862107, -34.31047109157258, -32.13089737297169, -29.680124383670112, -27.030302240441426, -24.25560038931126, -21.428821648235953, -18.61888508157991, -15.888989891363785, -13.295224223655357, -10.884611556392512, -8.694034815786997, -6.749778462072211, -5.0674934661998465, -3.6523273532176006, -2.499609884572134, -1.5959057598797395, -0.9203319518465707, -0.44613263793185776, -0.14236099175601694, 0.02439795255300161, 0.08830300658831902, 0.08259496353877244, 0.038158291777456846, -0.017707162388796684, -0.0622665032576221, -0.07799664276761492, -0.052934614932248804, 0.019262591473264895, 0.13961668030649205, 0.30435669178678526, 0.5056072737740748, 0.7322826493934088, 0.9712708782061285, 1.2084073614943645, 1.4294238602279037, 1.620963558882364, 1.77171469683945, 1.8728838209775307, 1.9185795458447863, 1.9061849931179127, 1.8367065828705438, 1.714335807554437, 1.5460204456796804, 1.34105909783135, 1.110649859468983, 0.8669189583905725, 0.6221287851068643, 0.38800703523561003, 0.17511041845532793, -0.007898457812114961, -0.15469982444716662, -0.2615851346379416, -0.327611463119156, -0.35456443419381534, -0.3467082345443643, -0.3104048529830734, -0.25363965320064435, -0.18538174123525608, -0.11490675878402311, -0.05112859280649874, -0.001963978021929371, 0.026263680875324324, 0.02929505203979662, 0.005261418570039346, -0.04515730319452452, -0.11873127961816098, -0.20984872238596852, -0.31086131161882335, -0.41261806329846373, -0.5050381611715306, -0.577770767342152, -0.6209374859497577, -0.6259189546739071, -0.5859446989742899, -0.4966494891072629, -0.35655310596851414, -0.167350532044179, 0.06605787540878212, 0.33562844903125566, 0.6304349089057638, 0.9372940825895555, 1.2413425771035065, 1.526678584636573, 1.7772262809663542, 1.9779727176436548, 2.115575252493886, 2.178990372176551, 2.160272722929191, 2.0555973163370584, 1.865168982982823, 1.5931869197976252, 1.247926811157401, 0.8418598407701361, 0.39063831814626643, -0.08772907660744023, -0.5735800630463215, -1.0463579536257022, -1.4859966531921023, -1.8739658109000012, -2.1941487083671527, -2.4337413098260416, -2.584052245916523, -2.640931641737573, -2.6050235363151595, -2.4819577204025185, -2.2819660237368944, -2.0192863985325458, -1.7114833454802412, -1.3787006603332044, -1.042377485033824, -0.724035929930615, -0.4441632899396546, -0.22113893700046405, -0.07004556200345384, -0.0017911726406486098, -0.022485215655240913, -0.13300752926780438, -0.32885214364545273, -0.6003243867467325, -0.9330131629323728, -1.3084898287865263, -1.70530018359487, -2.1001377547550084, -2.46913636850628, -2.7892231404413272, -3.0394325717397503, -3.202148412641217, -3.2642170859419175, -3.2178262269979676, -3.0610313343753357, -2.798057751781502, -2.439290750935637, -2.000801681414947, -1.5036202965440304, -0.9728214219119938, -0.4362954206888299, 0.07692965965390419, 0.5380637905673274, 0.9199559298245498, 1.1986483213353523, 1.3551009582839948, 1.3759911459780412, 1.2544241876069804, 0.9905959141766576, 0.5922547802188289, 0.07409257539369793, -0.5429010463780195, -1.232228209425322, -1.9630974942732384, -2.7021363444001443, -3.414953959548485, -4.067792286885084, -4.629553075063914, -5.073328969648175, -5.377632787655677, -5.527591761286894, -5.516276429731882, -5.344777399659435, -5.022022571979495, -4.564512343791615, -3.9959803074684075, -3.3458013196881833, -2.6473912341735737, -1.936632551939808, -1.2502359915278352, -0.6235651508642515, -0.08875508091428848, 0.32693724296188104, 0.6026207066664522, 0.7249502541811134, 0.6888712132276706, 0.4979801776066693, 0.16448044224785965, -0.291462421859189, -0.8426874978818476, -1.456358808341247, -2.095717340908796, -2.7219495648574332, -3.2961113953362093, -3.78119514041555, -4.1443545526349705, -4.358424204711211, -4.403291214579314, -4.2671493461485275, -3.9474802245060356, -3.4509381943943715, -2.793101418860894, -1.9979491488895664, -1.0967399762174688, -0.12632480227161066, 0.8724869436579357, 1.8568299502172418, 2.7843233407282475, 3.6149286433777403, 4.312604683894362, 4.84714474355833, 5.196432388631682, 5.346829049334011, 5.2934470846305635, 5.040574514460462, 4.602245122744158, 4.000591987493071, 3.2644260585425733, 2.4280590481590716, 1.5301464087562027, 0.6109969051148614, -0.28951038008099733, -1.133619709934162, -1.8873111822866266, -2.5222482191917357, -3.0169710474930804, -3.357657651204508, -3.5386977329068525, -3.5626975545250943, -3.4399513773147032, -3.187641445804018, -2.8288814429238425, -2.391064496852398, -1.9041396177582928, -1.3989309314727036, -0.905513830275764, -0.45138040979264255, -0.059942483147856954, 0.2506383349277105, 0.46830974876726833, 0.587704277668419, 0.6102628016087944, 0.5439586439783997, 0.4026346515230439, 0.2050374463291, -0.0264041643825079, -0.2670188988813137, -0.4915114060140256, -0.6754727822414403, -0.7968421337628483, -0.8372797226036807, -0.7833301679704568, -0.627144236365854, -0.3669782715455166, -0.007369039378080098, 0.4412297409180025, 0.9630151382911335, 1.5375854560499942, 2.141069726997383, 2.7478742353858427, 3.3318083907028533, 3.8672678059492673, 4.330715903179526, 4.702615897814866, 4.967836122893578, 5.1161047462623825, 5.142690269538828, 5.0492968129216775, 4.843068963094283, 4.535840041021208, 4.143640360548889, 3.686301978219555, 3.1855827484985215, 2.6638081709774504, 2.1428772248746304, 1.6434014724663513, 1.183211696186428, 0.7765091722906857, 0.43341763493077684, 0.15973421637904797, -0.04326669179394367, -0.17854132076638893, -0.252718095905418, -0.2753982083898087, -0.2582473986190412, -0.21395831347871797, -0.1552122901884767, -0.09369871702277698, -0.03917005511907011, 0.0013091181829815682, 0.02388506053601857, 0.028194648540526897, 0.017395043994615257, -0.002086233311073992, -0.021055757613214657, -0.02828088694136948, -0.011372842196912312, 0.0422114874876686, 0.14411277664917943, 0.3040692085292544, 0.5290054456838584, 0.822236307586319, 1.1829026430638336, 1.6058435596594367, 2.081519820412326, 2.5961684766773003, 3.132378416482393, 3.670333389653071, 4.188524694313266, 4.664659169393671, 5.076996776070528, 5.406301473212995, 5.636372428779236, 5.754718769624677, 5.75357065915495, 5.631251364699053, 5.391532311391422, 5.043224183370214, 4.600057256338988, 4.080699315180171, 3.5069189643362404, 2.902228743411091, 2.2908824502415692, 1.6969743986603547, 1.1425207352946074, 0.6462338962719556, 0.22273957809663517, -0.11800487243418879, -0.37139147802783434, -0.5381869774537492, -0.6241671902888245, -0.6395215941449908, -0.5979584440082883, -0.5154957725729336, -0.40912383147241016, -0.29542587792639, -0.1891233429253855, -0.10176132567657117, -0.040616097146935606, -0.007872940354403613, -0.00013046470696121218, -0.008313414591373814, -0.01799607754121466, -0.010137452009729524, 0.037800769825229945, 0.1504074988742279, 0.35262243748937344, 0.6679416721894091, 1.1165798057772802, 1.713648316728862, 2.4674547735445325, 3.3780076236078447, 4.435910679653397, 5.6216725529606935, 6.906389795061881, 8.255811119932646, 9.630447168381997, 10.986251225699984, 12.272778965924234, 13.422703818323324, 14.360914045505993, 15.011604919070079, 15.32176982799021, 15.324042931212835, 15.085695322653054], 'positive_zeros': ['0.55354268833888863708761740331714', '1.00003197452409065119794701104294', '1.07775195513092428815528055892703', '1.50130149491383411467772983688980', '1.99952525415419847654523341149708', '2.16823808429689552537651228390706', '2.36038333770136979914717449042881', '2.44619159362145186826583967987926', '2.94499156292873590666922487480597', '3.22581476028159468597205959802073', '3.29653685652047644422763227431713', '3.31047700858787553932037146888126', '3.71373542318687590120962931788166', '4.02387001413965781910743015464483', '4.11269110314432836324289300076821', '4.31760543643979077456664762134049', '4.85179141651602118790912110505996', '4.90647692300110461702931091386226', '5.00054722187726560962981100692320', '5.10026881245132127360845305760433', '5.36358208762661813662214256012150', '5.54818110689922294056004165095896', '5.66207671587129000373193480171657', '6.09053865758676589763139872091692', '6.10978260143317395715461133130330', '6.33496318848844507698186484945446', '6.40804877195447876249405847604003', '6.90229989814197865001515232119773', '7.04798759738889452144865757751879', '7.34049805940935753179816963115067', '7.38651317820803082682951889885365', '7.39477652206918054886690704578715', '7.57308994276761512686756763634006', '7.77036038026482133799481634065587', '7.78525653846864962527410188399625', '8.073956233198359884638523831096960', '8.322591865529029905212000054051870', '8.795276865014899770339536343004210', '8.844553772283775157020330017204919', '8.896737668074040109132255012847385'], 'prelabel': '8-3888e4-1.1-c0e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.3929697660455929, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c0e4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.55354268833888863708761740332', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.00003197452409065119794701104', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.07775195513092428815528055893', 'prec': 103}}
