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lfunc_lfunctions • Show schema
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{'Lhash': '2825807384732678698282804346846', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.8268075040001837, -1.3675309680467638], 'a4': [0.0, 0.0], 'a5': [-2.235412759458603, 0.05412757938125944], 'a6': [0.0, 0.0], 'a7': [0.1606516820214238, -2.24620401807022], 'a8': [0.0, 0.0], 'a9': [0.6218870375801732, -2.1179527479174354], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.6731184929788996, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.235412759458603, -0.05412757938125944]]], [23, [[1.0, 0], [-4.213235775968892, 2.290991989531131]]]], 'bad_primes': [2, 5, 23], 'central_character': '460.333', 'coefficient_field': 'CDF', 'conductor': 460, 'conductor_radical': 230, 'conjugate': '1172901255489459245369925233833', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.8268075040001837, 1.3675309680467638], [0.8451976705242891, -2.878478920843492]], [[1.0, 0], 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['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.22916897150044089284715936486', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.45386543915644824733815050966', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.30405340884155792251539526414', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.6731184929788996, 'bad_primes': [2, 5, 23], 'central_character': '115.103', 'conductor': 460, 'conductor_radical': 230, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/460/2/x/a/333/10'], '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': '2-460-115.103-c1-0-10', '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': '2-460-115.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9165381532802575, 'root_angle': 0.26728122449120695, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.22916897150044089284715936486', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2825807384732678698282804346846', 'Lhash_array': ['2825807384732678698282804346846'], 'label': '2-460-115.103-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/460/2/x/a/333/10'}