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lfunc_lfunctions • Show schema
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{'Lhash': '599541675544208330151646295888', 'a10': [-10.083873202958259, 0.0], 'a2': [-4.349026323174628, 0.0], 'a3': [-6.312008597103186, 0.0], 'a4': [10.914029959665825, 0.0], 'a5': [2.3186507630971076, 0.0], 'a6': [27.45109154090631, 0.0], 'a7': [33.858907929159045, 0.0], 'a8': [-12.673193001106172, 0.0], 'a9': [12.841452529904526, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 109.68455070067185, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [11.0, 0]]], [13, [[1.0, 0], [0, 0]]]], 'bad_primes': [11, 13], 'central_character': '1859.1', 'coefficient_field': 'CDF', 'conductor': 1859, 'conductor_radical': 143, 'degree': 2, 'euler_factors': [[[1.0, 0], [4.349026323174628, 0], [8.0, 0]], [[1.0, 0], [6.312008597103186, 0], [27.0, 0]], [[1.0, 0], [-2.3186507630971076, 0], [125.0, 0]], [[1.0, 0], [-33.858907929159045, 0], [343.0, 0]], [[1.0, 0], [11.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [11.561816490491994, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 109.68455070067185, 'bad_primes': [11, 13], 'central_character': '1.1', 'conductor': 1859, 'conductor_radical': 143, 'degree': 2, 'index': 73, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1859/4/a/c/1/1'], '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': '2-1859-1.1-c3-0-73', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-1859-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.473039229405753, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.47295498888752633896356475846', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '599541675544208330151646295888', 'Lhash_array': ['599541675544208330151646295888'], 'label': '2-1859-1.1-c3-0-73', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1859/4/a/c/1/1'}