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lfunc_lfunctions • Show schema
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{'Lhash': '742044493504323645636381855261', 'a10': [-1.5845552757439385, 0.0], 'a2': [-1.0, 0.0], 'a3': [-2.5901103998977177, 0.0], 'a4': [1.0, 0.0], 'a5': [1.5845552757439385, 0.0], 'a6': [2.5901103998977177, 0.0], 'a7': [1.0, 0.0], 'a8': [-1.0, 0.0], 'a9': [3.7086718836583152, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.18173257964061, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [7, [[1.0, 0], [-1.0, 0]]], [431, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 7, 431], 'central_character': '6034.1', 'coefficient_field': 'CDF', 'conductor': 6034, 'conductor_radical': 6034, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [2.5901103998977177, 0], [3.0, 0]], [[1.0, 0], [-1.5845552757439385, 0], [5.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-5.041453777688117, 0], [11.0, 0]], [[1.0, 0], [2.414812946794731, 0], [13.0, 0]], [[1.0, 0], [2.6282541689065124, 0], [17.0, 0]], [[1.0, 0], 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'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.58536989086008796571483775018', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.63065182022519122662705000699', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.31817930844961694524355920040', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.18173257964061, 'bad_primes': [2, 7, 431], 'central_character': '1.1', 'conductor': 6034, 'conductor_radical': 6034, 'degree': 2, 'index': 31, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6034/2/a/p/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': '2-6034-1.1-c1-0-31', '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': '2-6034-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.9413062588853265, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.58536989086008796571483775018', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '742044493504323645636381855261', 'Lhash_array': ['742044493504323645636381855261'], 'label': '2-6034-1.1-c1-0-31', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6034/2/a/p/1/4'}