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{'Lhash': '483458189091227330073245989045,1212527581998857054287611191789,1359319634932945374425338028258,1369860113806776422411371533610,1527353777699493769406837172221,1611626014005970278102440566390,1719086495584536713702763679448,1954370889001834133254355881034,1954941109809773971531867852146,2284287042106211734021775281510,2852056192926160424175245431679,3055077998455963732761279198561', 'a10': 0, 'a2': 1, 'a3': 13, 'a4': 1, 'a5': 0, 'a6': 13, 'a7': -2, 'a8': 0, 'a9': 91, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 447.03899194101757, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1]], [7, [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1]], [17, [1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1]]], 'bad_primes': [2, 7, 17], 'central_character': '3332.1', 'coefficient_field': '1.1.1.1', 'conductor': 1872664220360611796424074754385783633739776, 'conductor_radical': 238, 'degree': 24, 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-
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{'algebraic': True, 'analytic_conductor': 447.03899194101757, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 1872664220360611796424074754385783633739776, 'conductor_radical': 238, 'degree': 24, 'dirichlet_coefficients': [1, 1, 13, 1, 0, 13, -2, 0, 91, 0, -8, 13, -5, -2, 0, 0, 1, 91, 0, 0, -26, -8, 2, 0, 1, -5, 454, -2, 0, 0, 2, 0, -104, 1, 0, 91, 0, 0, -65, 0, 0, -26, 0, -8, 0, 2, 0, 0, 1, 1, 13, -5, -1, 454, 0, 0, 0, 0, 0, 0, 0, 2, -182, 0, 0, -104, 0, 1, 26, 0, 2, 0, 0, 0, 13, 0, 16, -65, -1, 0, 1807, 0, 0, -26, 0, 0, 0, 0, -1, 0, 10, 2, 26, 0, 0, 0, 0, 1, -728, 1], 'euler11': [1, 8, 36, 114, 282, 576, 1011, 1570, 2207, 2852, 3418, 3810, 3951, 3810, 3418, 2852, 2207, 1570, 1011, 576, 282, 114, 36, 8, 1], 'euler13': [1, 5, 15, 30, 45, 51, 45, 31, 20, 20, 31, 45, 51, 45, 31, 20, 20, 31, 45, 51, 45, 30, 15, 5, 1], 'euler17': [1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler19': [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 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0, -1, 0, 1], 'euler53': [1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 1], 'euler59': [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], 'euler61': [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], 'euler67': [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1], 'euler7': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1], 'euler73': [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], 'euler79': [1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 1], 'euler83': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler89': [1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 1], 'euler97': [1, 0, -12, 0, 66, 0, -220, 0, 495, 0, -792, 0, 924, 0, -792, 0, 495, 0, -220, 0, 66, 0, -12, 0, 1], 'euler_factors': [[1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -13, 78, -285, 702, -1209, 1431, -1013, 65, 794, -1013, 702, -480, 702, -1013, 794, 65, -1013, 1431, -1209, 702, -285, 78, -13, 1], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 36, 114, 282, 576, 1011, 1570, 2207, 2852, 3418, 3810, 3951, 3810, 3418, 2852, 2207, 1570, 1011, 576, 282, 114, 36, 8, 1], [1, 5, 15, 30, 45, 51, 45, 31, 20, 20, 31, 45, 51, 45, 31, 20, 20, 31, 45, 51, 45, 30, 15, 5, 1], [1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1], [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], [1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 1], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1], [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1], [1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 1], [1, 0, -12, 0, 66, 0, -220, 0, 495, 0, -792, 0, 924, 0, -792, 0, 495, 0, -220, 0, 66, 0, -12, 0, 1]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3332/1/cc/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': '24-3332e12-1.1-c0e12-0-2', '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}, {'__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}, {'__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, 0, 0, 0, 0, 0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '24-3332e12-1.1-c0e12-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.289528837247606, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e12-0', 'trace_hash': 1330878138591992491, 'z1': {'__RealLiteral__': 0, 'data': '0.38138126468301668637445155566', 'prec': 103}}
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{'Lhash': '483458189091227330073245989045,1212527581998857054287611191789,1359319634932945374425338028258,1369860113806776422411371533610,1527353777699493769406837172221,1611626014005970278102440566390,1719086495584536713702763679448,1954370889001834133254355881034,1954941109809773971531867852146,2284287042106211734021775281510,2852056192926160424175245431679,3055077998455963732761279198561', 'Lhash_array': ['483458189091227330073245989045', '1212527581998857054287611191789', '1359319634932945374425338028258', '1369860113806776422411371533610', '1527353777699493769406837172221', '1611626014005970278102440566390', '1719086495584536713702763679448', '1954370889001834133254355881034', '1954941109809773971531867852146', '2284287042106211734021775281510', '2852056192926160424175245431679', '3055077998455963732761279198561'], 'label': '24-3332e12-1.1-c0e12-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3332/1/cc/b'}