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lfunc_lfunctions • Show schema
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{'Lhash': '1154555584173998667847576923281', 'a10': [-2.325892806386392, -1.3428548378733975], 'a2': [-0.7075883753267063, 0.3762314128952321], 'a3': [-1.1312908811565234, 1.3115566866178894], 'a4': [-0.7592545740931486, 1.1256411967152664], 'a5': [1.775918408570915, 2.842063549995667], 'a6': [0.30703945132102467, -1.3536694316458413], 'a7': [1.177799578417911, 4.107475261724356], 'a8': [0.28127497427962195, -2.6761526171484067], 'a9': [-0.44036188442419344, -2.967504239381365], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3715569400320287, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.1312908811565234, -1.3115566866178894]]], [11, [[1.0, 0], [-1.9941023768873032, -2.6501991831732967]]]], 'bad_primes': [3, 11], 'central_character': '297.149', 'coefficient_field': 'CDF', 'conductor': 297, 'conductor_radical': 33, 'conjugate': '3234363099357476514345678059002', 'degree': 2, 'euler_factors': [[[1.0, 0], 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[-44.176239374189, 65.4939682318483]], [[1.0, 0], [-5.35469499568373, -0.7525533042701098], [79.78472076288047, 22.877900532810933]], [[1.0, 0], [13.506246372017783, -7.797834978625873], [44.5, -77.07626093681505]], [[1.0, 0], [10.238479691213499, 6.39771216918539], [42.52200123854051, 87.1830224910192]], [[1.0, 0], [-0.08074263341758833, 2.3121665012756654], [-100.75396907624224, -7.045403848156655]], [[1.0, 0], [-13.488626097453635, -0.9432166204929671], [101.99761108038174, 14.334829398886741]], [[1.0, 0], [2.0120323106677045, 1.4618270414209817], [33.06481839811937, 101.76304724358143]], [[1.0, 0], [0, 2.169422085599756], [-109.0, 0]], [[1.0, 0], [-8.164614843768423, 2.0356671129805686], [99.77307799305875, -53.050286594805655]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 6, 'label': '2-297-297.149-c1-0-6', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': 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'root_number': '-0.9752007080848096 - 0.22132234173459725*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.464481354564', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.910783763259474680693522327616', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.58812622030980212185333449842', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.43435878565846822805236120439', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3715569400320287, 'bad_primes': [3, 11], 'central_character': '297.149', 'conductor': 297, 'conductor_radical': 33, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/297/2/x/a/149/13'], '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': '2-297-297.149-c1-0-6', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-297-297.149-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5399860194274586, 'root_angle': -0.4644813545638319, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.910783763259474680693522327616', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1154555584173998667847576923281', 'Lhash_array': ['1154555584173998667847576923281'], 'factors': ['2-297-297.149-c1-0-6'], 'label': '2-297-297.149-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/297/2/x/a/149/13'}