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lfunc_lfunctions • Show schema
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{'Lhash': '1501607409257435598093797661674', 'a10': [25.781560320896805, 0.0], 'a2': [-5.156312064179361, 0.0], 'a3': [4.9180505806152945, 0.0], 'a4': [18.587554103201626, 0.0], 'a5': [-5.0, 0.0], 'a6': [-25.359003541070955, 0.0], 'a7': [12.218549788185463, 0.0], 'a8': [-54.59273295249023, 0.0], 'a9': [-2.812778486509566, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 118.8888486615674, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [5.0, 0]]], [13, [[1.0, 0], [13.0, 0]]], [31, [[1.0, 0], [-31.0, 0]]]], 'bad_primes': [5, 13, 31], 'central_character': '2015.1', 'coefficient_field': 'CDF', 'conductor': 2015, 'conductor_radical': 2015, 'degree': 2, 'euler_factors': [[[1.0, 0], [5.156312064179361, 0], [8.0, 0]], [[1.0, 0], [-4.9180505806152945, 0], [27.0, 0]], [[1.0, 0], [5.0, 0]], [[1.0, 0], [-12.218549788185463, 0], [343.0, 0]], [[1.0, 0], [-0.20441246916526223, 0], [1331.0, 0]], [[1.0, 0], [13.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 118.8888486615674, 'bad_primes': [5, 13, 31], 'central_character': '1.1', 'conductor': 2015, 'conductor_radical': 2015, 'degree': 2, 'index': 263, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2015/4/a/d/1/3'], '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': '2-2015-1.1-c3-0-263', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-2015-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.903616311186275, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.18455938015339898843110371371', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1501607409257435598093797661674', 'Lhash_array': ['1501607409257435598093797661674'], 'label': '2-2015-1.1-c3-0-263', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2015/4/a/d/1/3'}