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{'algebraic': True, 'analytic_conductor': 23.050295416787673, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 30, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, -32, -243, 1024, 3125, 7776, -57376, -32768, 59049, -100000, 954372, -248832, 978038, 1836032, -759375, 1048576, -4574766, -1889568, 429260, 3200000, 13942368, -30539904, -25641792, 7962624, 9765625, -31297216, -14348907, -58753024, -188685210, 24300000, 34469072, -33554432, -231912396, 146392512, -179300000, 60466176, -381698146, -13736320, -237663234, -102400000, -1116342918, -446155776, -182578612, 977276928, 184528125, 820537344, 2055898584, -254803968, 1314678633, -312500000, 1111668138, 1001510912, -5352288402, 459165024, 2982412500, 1880096768, -104310180, 6037926720, -2306052060, -777600000, 2262182822, -1103010304, -3387995424, 1073741824, 3056368750, 7421196672, -16091830396, -4684560384, 6230955456, 5737600000, 7283041032, -1934917632, 28423422458, 12214340672, -2373046875, 439562240, -54758047872, 7605223488, -385693360, 3276800000, 3486784401, 35722973376, -14785428252, 14276984832, -14296143750, 5842515584, 45850506030, -31272861696, -95789444790, -5904900000, -56115908288, -26257195008, -8375984496, -65788754688, 1341437500, 8153726976, -150483759166, -42069716256, 56354712228, 10000000000], 'euler11': [1, -954372, 285311670611], 'euler13': [1, -978038, 1792160394037], 'euler17': [1, 4574766, 34271896307633], 'euler19': [1, -429260, 116490258898219], 'euler2': [1, 32, 0], 'euler23': [1, 25641792, 952809757913927], 'euler29': [1, 188685210, 12200509765705829], 'euler3': [1, 243, 0], 'euler31': [1, -34469072, 25408476896404831], 'euler37': [1, 381698146, 177917621779460413], 'euler41': [1, 1116342918, 550329031716248441], 'euler43': [1, 182578612, 929293739471222707], 'euler47': [1, -2055898584, 2472159215084012303], 'euler5': [1, -3125, 0], 'euler53': [1, 5352288402, 9269035929372191597], 'euler59': [1, 2306052060, 30155888444737842659], 'euler61': [1, -2262182822, 43513917611435838661], 'euler67': [1, 16091830396, 122130132904968017083], 'euler7': [1, 57376, 1977326743], 'euler71': [1, -7283041032, 231122292121701565271], 'euler73': [1, -28423422458, 313726685568359708377], 'euler79': [1, 385693360, 747993810527520928879], 'euler83': [1, 14785428252, 1287831418538085836267], 'euler89': [1, 95789444790, 2775173073766990340489], 'euler97': [1, 150483759166, 7153014030880804126753], 'euler_factors': [[1, 32, 0], [1, 243, 0], [1, -3125, 0], [1, 57376, 1977326743], [1, -954372, 285311670611], [1, -978038, 1792160394037], [1, 4574766, 34271896307633], [1, -429260, 116490258898219], [1, 25641792, 952809757913927], [1, 188685210, 12200509765705829], [1, -34469072, 25408476896404831], [1, 381698146, 177917621779460413], [1, 1116342918, 550329031716248441], [1, 182578612, 929293739471222707], [1, -2055898584, 2472159215084012303], [1, 5352288402, 9269035929372191597], [1, 2306052060, 30155888444737842659], [1, -2262182822, 43513917611435838661], [1, 16091830396, 122130132904968017083], [1, -7283041032, 231122292121701565271], [1, -28423422458, 313726685568359708377], [1, 385693360, 747993810527520928879], [1, 14785428252, 1287831418538085836267], [1, 95789444790, 2775173073766990340489], [1, 150483759166, 7153014030880804126753]], 'id': 20367274, 'index': 4, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/30/12/a/b/1/1', 'ModularForm/GL2/Q/holomorphic/30/12/a/b'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-30-1.1-c11-0-4', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 1, 'prelabel': '2-30-1.1-c11-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 4.80107231947069, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c11-0', 'trace_hash': 1988966268028752743, 'z1': {'__RealLiteral__': 0, 'data': '1.58480637503248373567245710469', 'prec': 103}}