{'Lhash': '1734927276306128478668852652264', 'a10': [2.7431396111504442, -2.7431396111504442], 'a2': [0.0, -1.0], 'a3': [0.37624365965285617, 0.37624365965285617], 'a4': [-1.0, 0.0], 'a5': [2.7431396111504442, 2.7431396111504442], 'a6': [0.37624365965285617, -0.37624365965285617], 'a7': [1.5448816140880055, -1.5448816140880055], 'a8': [0.0, 1.0], 'a9': [0.0, -2.7168814171420514], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.615353236830009, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.0]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 17], 'central_character': '578.251', 'coefficient_field': 'CDF', 'conductor': 578, 'conductor_radical': 34, 'conjugate': '1954836817740653026409697542479', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0]], [[1.0, 0], [-0.37624365965285617, -0.37624365965285617], [0, 3.0]], [[1.0, 0], [-2.7431396111504442, -2.7431396111504442], [0, 5.0]], [[1.0, 0], [-1.5448816140880055, 1.5448816140880055], [0, -7.0]], [[1.0, 0], [1.1686379544351493, -1.1686379544351493], [0, -11.0]], [[1.0, 0], [-0.5885258721902271, 0], [13.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -6.800659549145216], [-19.0, 0]], [[1.0, 0], [-5.777235368357999, 5.777235368357999], [0, -23.0]], [[1.0, 0], [-4.101685702555083, -4.101685702555083], [0, 29.0]], [[1.0, 0], [2.9034277054926445, 2.9034277054926445], [0, 31.0]], [[1.0, 0], [-1.4892141431195494, -1.4892141431195494], [0, 37.0]], [[1.0, 0], [1.8654578027724056, -1.8654578027724056], [0, -41.0]], [[1.0, 0], [0, 4.879385241571817], [-43.0, 0]], [[1.0, 0], [8.475651900285685, 0], [47.0, 0]], [[1.0, 0], [0, 6.985452080049311], [-53.0, 0]], [[1.0, 0], [0, 7.8452369620938756], [-59.0, 0]], [[1.0, 0], [0.1306680517149105, -0.1306680517149105], [0, -61.0]], [[1.0, 0], [6.9435630140477285, 0], [67.0, 0]], [[1.0, 0], [0.03509360526987358, 0.03509360526987358], [0, 71.0]], [[1.0, 0], [1.259399030673479, 1.259399030673479], [0, 73.0]], [[1.0, 0], [0.261336103429821, -0.261336103429821], [0, -79.0]], [[1.0, 0], [0, -2.674992351140469], [-83.0, 0]], [[1.0, 0], [-4.165192171376844, 0], [89.0, 0]], [[1.0, 0], [-9.192388155425117, -9.192388155425117], [0, 97.0]], [[1.0, 0], [4.97771129352567, 0], [101.0, 0]], [[1.0, 0], [13.461103980334997, 0], [103.0, 0]], [[1.0, 0], [9.966109532865289, 9.966109532865289], [0, 107.0]], [[1.0, 0], [-6.660390739378622, 6.660390739378622], [0, -109.0]], [[1.0, 0], [3.0080483288663884, -3.0080483288663884], [0, -113.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 11469541, 'index': 7, 'label': '2-578-17.13-c1-0-7', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/578/2/c/h/251/4', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.9235453204928823, 1.914019258997133, 1.894138488040306, 1.8571260919971488, 1.7934916268023855, 1.692613474812625, 1.5444580693503729, 1.3412403978442253, 1.07893004880688, 0.7585445367185318, 0.3871582451800336, -0.021475269318047874, -0.4468109556169754, -0.8620309137419222, -1.235284466194781, -1.5316821489526202, -1.7159951803507436, -1.7559157950895736, -1.6256332676069662, -1.3093889409914379, -0.8046060825433213, -0.12416166552432376, 0.702610390402718, 1.6305137831855079, 2.6008708514345655, 3.5456866826056808, 4.393366713621278, 5.075523580542878, 5.5341979306196425, 5.728665052902188, 5.640936700560528, 5.279119626781053, 4.677970126999609, 3.896280810326144, 3.0111259061484748, 2.1094298736376285, 1.2777514361957811, 0.5915244664330965, 0.10520378042716817, -0.155223376125777, -0.1961077924451936, -0.05556293446563378, 0.20178446276942777, 0.49424727074566926, 0.7355678619319588, 0.8487004622743329, 0.7787902944083016, 0.5032135890381016, 0.03685347408092945, -0.5685670893415292, -1.2313693346688603, -1.852261186611749, -2.330387884465781, -2.5805687142009903, -2.548805364846271, -2.2232409178203607, -1.6383565042111465, -0.8712514170833966, -0.03020751076733672, 0.7628355891313183, 1.393032973077679, 1.7729594266890778, 1.858689162214341, 1.6583670960101307, 1.2312342732178856, 0.6767852375294328, 0.11564415918683171, -0.33451213063499236, -0.5834436071975005, -0.5883126625860895, -0.36475904774277595, 0.013782173585367792, 0.4291824066724071, 0.7422898434121465, 0.8229844290440685, 0.5807795892904898, -0.010442730585692176, -0.8992649912312685, -1.9588787664679164, -3.0053899571606713, -3.8298314888446066, -4.238382838089761, -4.093162958619591, -3.3452646941392206, -2.052689696389348, -0.3784378805950757, 1.4322296976004012, 3.092117128893007, 4.322963483056886, 4.907247524117186, 4.730622287434245, 3.8061023748122778, 2.2744915986058576, 0.3802204874513793, -1.5731801857414414, -3.2793875638147276, -4.4861150258064555, -5.040850145795157, -4.9160389014422075, -4.20851144169617, -3.1134395723165222, -1.8786568854501104, -0.7495126141108897, 0.08344768539626897, 0.5223197227010947, 0.5768596118334179, 0.3536365448061291, 0.022334126255992497, -0.2323639890378341, -0.2613975243690692, 0.00808870382297617, 0.5523542243854164, 1.256084034457745, 1.9417398363111085, 2.416013347118371, 2.5216996017781907, 2.1817072637204227, 1.4236540838081193, 0.378209731943904, -0.7490735982056246, -1.725891520996477, -2.3494280491457555, -2.496479372680079, -2.154481066570898, -1.4251109597827287, -0.4990805600397999, 0.3917965290032591, 1.0331135777808653, 1.2818157007196445, 1.1013892784853272, 0.5688599956393164, -0.1484402023021314, -0.8402572085500526, -1.3122056584668398, -1.43987342085716, -1.2031333660779255, -0.6907470214095593, -0.07344443597369013, 0.4474765689635623, 0.7018156505150666, 0.6047705501326609, 0.18769955831514162, -0.4047126206094634, -0.9516981051505972, -1.2189730284146632, -1.0297711044398992, -0.324144894400196, 0.8114115250150575, 2.1544840648159993, 3.3970235967370437, 4.223707546425061, 4.398101424424797, 3.833030199265135, 2.6247218960597265, 1.0393216243646937, -0.5469779727921759, -1.7400769977338633, -2.2287825843395894, -1.867398022546213, -0.7172332100767396, 0.9652863868626651, 2.7919470948582994, 4.341387720142807, 5.266885310022363, 5.384129758602934, 4.714930703406387, 3.4747461788176306, 2.007486726812198, 0.6858842470528745, -0.19442399065325802, -0.49697517188455337, -0.2792308769762444, 0.23003429967743258, 0.7042198605223456, 0.8219471190232827, 0.3695491563513003, -0.6872378245687344, -2.183909330936338, -3.7965713950128093, -5.129335823612394, -5.824847776367751, -5.666099563387245, -4.640038139100488, -2.94451480895572, -0.9366277390603239, 0.9624161467388287, 2.3782358531574634, 3.0780429394353135, 3.022541305115073, 2.361446749116811, 1.3761716225771692, 0.3889165134763296, -0.33306586340687877, -0.6488071931654514, -0.5699819146652559, -0.2366496255704656, 0.14683518026198733, 0.39234542955880797, 0.3967865698209735, 0.17567834362484894, -0.14949796279535946, -0.40498991635046255, -0.4398000394510111, -0.1944717068749653, 0.26238743032918194, 0.7451989005218925, 1.0090926471117476, 0.836465993460519, 0.12345290973531603, -1.06444859590938, -2.4896308654314963, -3.7978366556186463, -4.6177213635385135, -4.674701565077971, -3.8827289062226646, -2.382864895894373, -0.5133394401568527, 1.2826310770167288, 2.5845181746859804, 3.118360390624854, 2.8373996587748795, 1.932763179251534, 0.7693760494418065, -0.23355022227415123, -0.7395710156387365, -0.6050962047214111, 0.07415737116470186, 0.996874164305008, 1.7603866181947296, 2.002169144129632, 1.532010280924031, 0.41009997764220896, -1.0570223699515269, -2.4042366693377843, -3.1531766928710527, -2.9691538054866067, -1.778531964107337, 0.1930228533473709, 2.476154999981737, 4.49182985244885, 5.722575541271593, 5.867123880652776, 4.929353786159668, 3.2132283779251294, 1.2255676740232906, -0.48185616079672916, -1.480056139485443, -1.586900044891491, -0.9089262508613766, 0.21020552443085172, 1.3149296675110478, 1.993146281176402, 2.009364927666773, 1.3721350969187915, 0.31571228951803965, -0.7943145489329958, -1.595906549664976], 'positive_zeros': ['1.36861630167947697832345460455263', '2.64511473329656760247763122653501', '4.78873214959723536144827057280973', '5.15582501748525810289672478379672', '6.00834525528280184922269294173534', '7.25451352171461102141356293015252', '8.278345531296874956149115306496082', '8.870885252505244942090448915412792', '9.498266731753205731716848091314323', '10.65126491064092795490235912809588'], 'prelabel': '2-578-17.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.14833731914474, 'root_angle': 0.045432208701073555, 'root_number': '0.9595325041913046 + 0.2815978931035599*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0454322087011', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.36861630167947697832345460455', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.64511473329656760247763122654', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.78873214959723536144827057281', 'prec': 103}}
