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lfunc_lfunctions • Show schema
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{'Lhash': '1880535218256851389923824428865', 'a10': [-71.71379277535763, 0.0], 'a2': [-4.0, 0.0], 'a3': [25.417301878730026, 0.0], 'a4': [16.0, 0.0], 'a5': [17.928448193839408, 0.0], 'a6': [-101.6692075149201, 0.0], 'a7': [-245.18282043304978, 0.0], 'a8': [-64.0, 0.0], 'a9': [403.0392347944929, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 115.79711790497204, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [4.0, 0]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 19], 'central_character': '722.1', 'coefficient_field': 'CDF', 'conductor': 722, 'conductor_radical': 38, 'degree': 2, 'euler_factors': [[[1.0, 0], [4.0, 0]], [[1.0, 0], [-25.417301878730026, 0], [243.0, 0]], [[1.0, 0], [-17.928448193839408, 0], [3125.0, 0]], [[1.0, 0], [245.18282043304978, 0], [16807.0, 0]], [[1.0, 0], [-534.5751403428413, 0], [161051.0, 0]], [[1.0, 0], [550.0392347944929, 0], [371293.0, 0]], [[1.0, 0], [-611.6878184936007, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 115.79711790497204, 'bad_primes': [2, 19], 'central_character': '1.1', 'conductor': 722, 'conductor_radical': 38, 'degree': 2, 'index': 119, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/722/6/a/h/1/4'], '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': '2-722-1.1-c5-0-119', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-722-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.760906927623342, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.48348071457409279363310176670', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1880535218256851389923824428865', 'Lhash_array': ['1880535218256851389923824428865'], 'label': '2-722-1.1-c5-0-119', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/722/6/a/h/1/4'}