{'Lhash': '1395913059822860956914717408542', 'a10': [20.318020472960214, -2.7102636525061613e-61], 'a2': [1.7987726394406656, -2.475798139964345], 'a3': [-2.8115631633133242, -1.0464762676236739], 'a4': [-1.6579254439507822, -5.1025698447112955], 'a5': [3.90249622073499, 5.371325242926723], 'a6': [-7.648226889126776, 5.0784899720979455], 'a7': [0.9465117416258345, 2.913063604944908], 'a8': [-3.973262782792142, -1.2909913364383347], 'a9': [6.80977484260085, 5.884468250664674], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.89103359627878, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [2.8115631633133242, 1.0464762676236739]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 11], 'central_character': '363.323', 'coefficient_field': 'CDF', 'conductor': 363, 'conductor_radical': 33, 'conjugate': '1933912704308587531784724538427', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7987726394406656, 2.475798139964345], [-1.2360679774997898, -3.804226065180614]], [[1.0, 0], [2.8115631633133242, 1.0464762676236739]], [[1.0, 0], [-3.90249622073499, -5.371325242926723], [-7.725424859373685, 23.77641290737884]], [[1.0, 0], [-0.9465117416258345, -2.913063604944908], [-39.64183272437242, 28.801477362331184]], [[1.0, 0], [0, 0]], [[1.0, 0], [-13.142203663481249, -9.548369873226981], [52.223872049366115, 160.72855125388097]], [[1.0, 0], [-0.4735477340386218, -0.6517825396108508], [-89.30591137435981, 274.8553332092994]], [[1.0, 0], [6.397203191276151, -19.6885669457556], [-292.055134969356, -212.1904760775828]], [[1.0, 0], [0, 27.3223986398742], [-529.0, 0]], [[1.0, 0], [-3.597545278881331, 1.1689133191982484], [680.3832922693308, -494.3273971779699]], [[1.0, 0], [-16.811372417643973, -12.214177015554649], [296.9653315943245, 913.9653121596426]], [[1.0, 0], [-11.91372730337904, -36.666682388005], [-1107.544265299303, 804.6780103883957]], [[1.0, 0], [12.71813973150213, 4.132374098207329], [1359.9575675442866, 988.0670091036474]], [[1.0, 0], [43.412529586826984, 0], [1849.0, 0]], [[1.0, 0], [18.916785964921008, 6.14643634942504], [1787.1185405742588, 1298.4176223140732]], [[1.0, 0], [-10.389367129279615, 14.299737081877959], [-868.0287371992273, -2671.517754273086]], [[1.0, 0], [-41.395220399317544, 13.450122437640465], [2816.188157419192, -2046.080463230099]], [[1.0, 0], [-8.619860203813039, 6.262695023531131], [1149.8522360691793, -3538.8812971342663]], [[1.0, 0], [-72.29630980805213, 0], [4489.0, 0]], [[1.0, 0], [-1.5105479643149191, -2.07909090808759], [-1557.7546686441099, 4794.275898643869]], [[1.0, 0], [-14.053717511351177, -43.25289502079709], [-4311.251563024095, 3132.3076094665894]], [[1.0, 0], [79.47965732582914, 57.7453511585077], [1928.575061894047, 5935.543718198053]], [[1.0, 0], [-18.750708694510582, -25.808136443146008], [-2128.8180742490126, 6551.828340757313]], [[1.0, 0], [0, 18.540881949873576], [-7921.0, 0]], [[1.0, 0], [-51.212313393955824, -37.207923638247465], [2907.5409000738805, 8948.4907618211]], [[1.0, 0], [88.3786354115564, -121.64275593637966], [-3152.2823596188387, -9701.727522726862]], [[1.0, 0], [46.2806695419268, 142.43725473863628], [-8582.861293323816, 6235.813741570847]], [[1.0, 0], [19.735840546745802, 6.412563315349723], [9262.435568598774, 6729.553353496525]], [[1.0, 0], [-105.79352253657474, 0], [11881.0, 0]], [[1.0, 0], [126.27079914489381, 41.02786970124523], [10330.338001173704, 7505.429886522589]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 14921130, 'index': 28, 'label': '2-363-33.26-c2-0-28', 'load_key': 'CMFs-workshop', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/363/3/h/n/323/4', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [2.429471762554716, 2.4032230965602808, 2.3283850898173095, 2.1988363409280636, 2.0072420350075038, 1.7457311615907147, 1.4068222128527492, 0.9845143473909899, 0.47545122814451696, -0.11993971086502407, -0.7964328218754099, -1.5432171109593253, -2.3434382311622963, -3.1741643660308143, -4.0068539882550285, -4.808374784850428, -5.542582010888748, -6.1724127756135845, -6.66239395008626, -6.981401073954681, -7.1054508717159575, -7.020268637523528, -6.723351628808998, -6.225257419762729, -5.549886341807747, -4.733600779899154, -3.8231281305411122, -2.8723210001420543, -1.9379856331700758, -1.0751218964410254, -0.33202759667745185, 0.2542113173738507, 0.6613102574883858, 0.8839738960035419, 0.9343227225168194, 0.8403818330026187, 0.6426840935722421, 0.38928815598196886, 0.1297477626696976, -0.0912426943282311, -0.23969345032043415, -0.2968210987438997, -0.2614909552128375, -0.1501200948252438, 0.006106767859434131, 0.1664667076174257, 0.28773710687685694, 0.3320685920316117, 0.27449492179541896, 0.10882431820252565, -0.14920758598883338, -0.4623122659493142, -0.7758438786582416, -1.0255104631024525, -1.1476788823989736, -1.0908175627151617, -0.8262679878286908, -0.35644422800236186, 0.2812241854549573, 1.0157671350487645, 1.749948958167307, 2.3727946443659396, 2.7758747010914346, 2.871060025441023, 2.6069617752592142, 1.98119295938074, 1.0459874555378996, -0.09442870643409502, -1.2950988342872805, -2.3892066240281133, -3.2121612795119865, -3.6274059403273977, -3.549857215899198, -2.9629273032042254, -1.9258209099948558, -0.5691703302966722, 0.9211113605652721, 2.329897829944191, 3.4451657229252812, 4.091579943191285, 4.159833612761964, 3.6266183987453777, 2.5614117326803454, 1.118327378720216, -0.48623598535326956, -2.006918669114072, -3.2084165081355938, -3.9037024078117954, -3.9848662278574536, -3.4410711318127114, -2.360250363524101, -0.9139883635214842, 0.6719525017583035, 2.156342697617718, 3.3235393172763916, 4.019459234208725, 4.1759106533995265, 3.818854003184896, 3.0591864968103084, 2.0679907725878834, 1.041203035912415, 0.16073046289717685, -0.4402576245350738, -0.7009959561414818, -0.6411407314477463, -0.3517621425029416, 0.028521477575268732, 0.3469850342075015, 0.4725091339107182, 0.3257840248700842, -0.10257367578509333, -0.7499249950722939, -1.4959321635458716, -2.190042031882219, -2.6859007380948574, -2.874871653204662, -2.7109871921455997, -2.22157997398929, -1.5011054354507505, -0.689558025345213, 0.0594977137013366, 0.6137685134761036, 0.8916865509812169, 0.8794351302440268, 0.6314457278324473, 0.254263999114367, -0.12220949150160552, -0.37888747649321225, -0.4383699089890273, -0.2844900578713624, 0.03476047432581081, 0.4220189205234252, 0.7594842313648205, 0.9444890930373991, 0.9220355395635975, 0.704882551118483, 0.37455007960752557, 0.06133295944099021, -0.09299592219133365, 0.018939338771068515, 0.42756733936015323, 1.0593690781920748, 1.7348181097197797, 2.1951297347561964, 2.154664941537459, 1.3689636141091475, -0.29660092416804174, -2.8142553522995017, -5.971800810271101, -9.389622573043145, -12.576751977649502, -15.016881336480012, -16.26763038745084, -16.05218876508576, -14.32290489359727, -11.281597196718204, -7.350328906214199, -3.097164261788293, 0.868452946704358, 4.008988269203452, 5.956796324292749, 6.575999949362862, 5.9754699837109335, 4.471092104441813, 2.5069157533675903, 0.5539044403538137, -0.9903344148949301, -1.8783747007925515, -2.050114194433109, -1.62397099088809, -0.8470955627207234, -0.019240587407483054, 0.5893205029516039, 0.8049841225166025, 0.5871152831960398, 0.026214992957955215, -0.6929759115815827, -1.3512621846311317, -1.7599754320810599, -1.812915432970766, -1.5114723448943397, -0.9572628038450428, -0.3160475165497632, 0.23521755502421338, 0.5618741594778961, 0.6096399614317082, 0.41633815772741617, 0.09451564337106971, -0.2089243773313941, -0.3629840134099531, -0.29667735283210517, -0.02289090890893101, 0.3657724808228196, 0.7281267404157473, 0.922835631894926, 0.858671726816334, 0.5300409257484581, 0.025321261276406465, -0.49622369172991265, -0.8532756774576186, -0.9027404851296326, -0.59261158506906, 0.010337551847253525, 0.7290477873933227, 1.3212642576539193, 1.550203189936582, 1.2609866959900402, 0.4397300768254933, -0.7643162299129144, -2.0634744829053666, -3.0997786938690415, -3.539952660528282, -3.171553300251387, -1.9725529465125262, -0.13261287824814055, 1.9830168658549876, 3.9200265489835875, 5.2502476067118655, 5.684540220975834, 5.151684904164552, 3.820001413886945, 2.0538582146877804, 0.3154981310308112, -0.9615073098157048, -1.492044421667873, -1.2183957237317198, -0.32514267428501586, 0.8152740341600159, 1.7517912685054164, 2.0881134738674545, 1.602046120063905, 0.31592974419263814, -1.503114717639105, -3.4144278499302287, -4.927126555543395, -5.640678720020483, -5.362422257540591, -4.167854074509196, -2.3856485143902444, -0.5108819035204683, 0.9294025170305097, 1.5203988839945681, 1.0728137493855072, -0.32651331954534535, -2.3402588869170216, -4.474248895556555, -6.211550217675024, -7.148540139568251, -7.094915625805317, -6.111117168789125, -4.475586661257023, -2.5948386663389287, -0.8853035635754396, 0.3373742206017295, 0.9301645949147425, 0.9377516534627822, 0.551381892069209], 'positive_zeros': ['1.10118123998169449971017074445382', '3.81624782654864627654612129834837', '4.81929110885775511328374865985301', '5.49538638630367734672606623595001', '6.18241178060955993092495032063984', '7.19811227065998058169211744930081', '8.365119531079817714688309644960347', '9.423108053971373720828977831665191', '10.46231859380691702995876062943448', '11.44715117828321701604920157292250'], 'prelabel': '2-363-33.26-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.145001366657697, 'root_angle': 0.14214395328761256, 'root_number': '0.6269869970153901 + 0.7790297205971177*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.142143953288', 'prec': 47}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10118123998169449971017074445', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.81624782654864627654612129835', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.81929110885775511328374865985', 'prec': 103}}
