{'Lhash': '2569858041270486118833919482289', 'a10': -1, 'a2': 1, 'a3': 1, 'a4': 1, 'a5': -1, 'a6': 1, 'a7': 1, 'a8': 1, 'a9': 1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.060140372149035, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -1]], [3, [1, -1]], [43, [1, -1]]], 'bad_primes': [2, 3, 43], 'central_character': '258.1', 'coefficient_field': '1.1.1.1', 'conductor': 258, 'conductor_radical': 258, 'degree': 2, 'euler_factors': [[1, -1], [1, -1], [1, 1, 5], [1, -1, 7], [1, -5, 11], [1, 7, 13], [1, -4, 17], [1, 1, 19], [1, 4, 23], [1, 5, 29], [1, 10, 31], [1, -10, 37], [1, 0, 41], [1, -1], [1, 1, 47], [1, -12, 53], [1, -4, 59], [1, 8, 61], [1, 2, 67], [1, 12, 71], [1, -4, 73], [1, -10, 79], [1, 7, 83], [1, -6, 89], [1, 7, 97], [1, -18, 101], [1, -6, 103], [1, -3, 107], [1, -5, 109], [1, -9, 113]], 'euler_factors_factorization': [[[[1, -1], 1]], [[[1, -1], 1]], [[[1, 1, 5], 1]], [[[1, -1, 7], 1]], [[[1, -5, 11], 1]], [[[1, 7, 13], 1]], [[[1, -4, 17], 1]], [[[1, 1, 19], 1]], [[[1, 4, 23], 1]], [[[1, 5, 29], 1]], [[[1, 10, 31], 1]], [[[1, -10, 37], 1]], [[[1, 0, 41], 1]], [[[1, -1], 1]], [[[1, 1, 47], 1]], [[[1, -12, 53], 1]], [[[1, -4, 59], 1]], [[[1, 8, 61], 1]], [[[1, 2, 67], 1]], [[[1, 12, 71], 1]], [[[1, -4, 73], 1]], [[[1, -10, 79], 1]], [[[1, 7, 83], 1]], [[[1, -6, 89], 1]], [[[1, 7, 97], 1]], [[[1, -18, 101], 1]], [[[1, -6, 103], 1]], [[[1, -3, 107], 1]], [[[1, -5, 109], 1]], [[[1, -9, 113], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9753287, 'index': 3, 'label': '2-258-1.1-c1-0-3', '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/258/2/a/f', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [2.1361682867679916, 2.1439119922672423, 2.1654509348275837, 2.1959576697926217, 2.2281236914610436, 2.253009907280354, 2.260904636324813, 2.2420993270871246, 2.1875799075840754, 2.089667402893765, 1.942634066940291, 1.74329472255076, 1.491544907564756, 1.1907959865358713, 0.8482451910200667, 0.4749160375369595, 0.08541165351336971, -0.30266004956589215, -0.6696053156763359, -0.9948910730483456, -1.258664882730049, -1.4434545490556343, -1.5359162417688919, -1.5284695724835302, -1.4206396467101283, -1.2199243035763565, -0.9420231353047207, -0.6103052809243028, -0.25445488776409836, 0.09168678960333247, 0.3929716946951895, 0.616281812482063, 0.7340599449522813, 0.7276753725383235, 0.5902309781461547, 0.3284258548338229, -0.0368572514213102, -0.4714662228454285, -0.9304746634446898, -1.362158053995007, -1.713159171933969, -1.9343686048263447, -1.9868987078846354, -1.8474412373824194, -1.5122902937836795, -0.9993954718492633, -0.3479867873234932, 0.3844281065564925, 1.127576851942899, 1.8059884422488495, 2.3478372516067205, 2.694039777715809, 2.8064399415792423, 2.6739240388946333, 2.3154722504502456, 1.7794752346874543, 1.1390937166724662, 0.483966012222215, -0.09089447435236159, -0.4976995359314662, -0.6683445512128311, -0.5649636991620628, -0.18694405348878612, 0.4268648557837524, 1.2014149737936595, 2.0341199400474923, 2.8080350692207197, 3.407944808484054, 3.7371915676002088, 3.732809359790505, 3.376605132460874, 2.7002774828440548, 1.7834373972789743, 0.7444036241658127, -0.2752544749677499, -1.1304288897644303, -1.6936619227126317, -1.8746422444295927, -1.634925167385696, -0.9953796436822338, -0.03488639041796609, 1.1198691187702585, 2.312247162802055, 3.3785990915139115, 4.172825415456203, 4.588662405131213, 4.576039687752476, 4.148702614179509, 3.3816559307011715, 2.39865044605066, 1.3516275922259893, 0.3954632342818199, -0.337751767571616, -0.7604735850403991, -0.8436828517238597, -0.6205462415226324, -0.17902298671425296, 0.35534252229264796, 0.8433897507343561, 1.1587210850662522, 1.2116143159152202, 0.9659685640236791, 0.4460232697856448, -0.26851399992195707, -1.058085122581995, -1.7866934693200887, -2.3285759911119324, -2.5928705747209033, -2.5413130672079594, -2.1953046228919053, -1.6307766745269885, -0.9617524719623367, -0.315868779751455, 0.1931134878188187, 0.49000640096923487, 0.5547161474764057, 0.4267810591071628, 0.19657097042901148, -0.015362603931390339, -0.08664686130772313, 0.07685504917373995, 0.5159620167429431, 1.2039769594057854, 2.0471870790575037, 2.9008342003530228, 3.5979467277657924, 3.985424541179631, 3.959824122518354, 3.4948881602045696, 2.6541784775453996, 1.5850153899170991, 0.49376778139783084, -0.39340453081957505, -0.8768533468736569, -0.8273190070720812, -0.21788373380432785, 0.8634735976918154, 2.2244553733303967, 3.601156495760729, 4.70716250669919, 5.289556853429446, 5.180499723067419, 4.333536489207014, 2.83663318852292, 0.898592366988988, -1.1889728626188318, -3.106711018500187, -4.568494130081937, -5.375674619119693, -5.453305401722486, -4.860742987592832, -3.774518718521276, -2.4473623120708226, -1.1524646322068368, -0.12529220050295042, 0.4842429310733642, 0.6388458915254314, 0.41448552329204574, -0.024956990583568553, -0.47263780392489707, -0.7323961233201665, -0.6682383145387826, -0.23787894619257355, 0.49756280749112825, 1.3898303301234491, 2.2415656417444674, 2.856596905655888, 3.089933348920298, 2.884960031610083, 2.288452780358037, 1.4395201029660876, 0.535094240675957, -0.21947243100325595, -0.6622922933498753, -0.7161193328187394, -0.4081828988851632, 0.13665915607912993, 0.7280397900886714, 1.1595644112083476, 1.263154254975938, 0.9542887145009608, 0.25629192084607477, -0.7029797183495586, -1.7216574778400568, -2.5741218448588867, -3.068264694056124, -3.0949525970682297, -2.6566630335935155, -1.8674927005973496, -0.9241291823453059, -0.05503732543524193, 0.5389798077759032, 0.7371407707127822, 0.5298456818568633, 0.019916352254349096, -0.606925769756262, -1.134874948298973, -1.3801587840437108, -1.2455465458404185, -0.7519192061204893, -0.03737473742936643, 0.6770677253351919, 1.1469594058665658, 1.1736733015105631, 0.6646936635220724, -0.33208369108295366, -1.6306694195172913, -2.9470082787992964, -3.96760263334494, -4.429490728262569, -4.1905698166352545, -3.271025669163095, -1.8536634793997522, -0.24151635886824735, 1.2174988489345824, 2.219951610026411, 2.5869911133619174, 2.313599904609278, 1.5730199779502032, 0.6739090442938612, -0.0196938354326708, -0.1853583138328088, 0.3690254324924928, 1.6484223833971476, 3.461366227188023, 5.461577680874283, 7.230467457417787, 8.379593523459086, 8.646678511398298, 7.960312479064879, 6.45662815981791, 4.44388806254782, 2.3246679395108636, 0.4964373739289293, -0.7431971254496381, -1.2619889297346696, -1.1130071071441388, -0.5054108471543568, 0.2641592652857237, 0.8992789847870069, 1.1855820389163096, 1.0442343566541779, 0.5432706215705778, -0.13450327699608738, -0.7557640391482805, -1.1127695971942677, -1.0880903147534131, -0.6887762851053972, -0.04043943699621088, 0.6558691942820086, 1.1897220327801628, 1.4091253444545153, 1.268519543560159, 0.8417285358510519, 0.29570103714986584, -0.16665716045168413, -0.3762895667866843], 'positive_zeros': ['2.02726054072613199484630186215929', '3.59081278770625217639725155054404', '4.48857863051533517548213903278340', '5.81041354722212029192149817894730', '7.22809443760104234234694061948588', '7.79285009623582430355179353747170', '9.214970331824634574016651447181306', '10.00401888941623721082220913312236', '11.43652809531863144407597101271070', '12.04268894453929976896129995761272'], 'prelabel': '2-258-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.4353189095629706, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1-0', 'trace_hash': 300724365588704024, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.02726054072613199484630186216', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.59081278770625217639725155054', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.48857863051533517548213903278', 'prec': 103}}
