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lfunc_lfunctions • Show schema
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{'Lhash': '1291939965342834796812525200299', 'a10': [-1.1185630791049668, 4.373973828813053], 'a2': [0.03671771724735807, -1.413736824603555], 'a3': [-0.2225209339563144, 0.9749279121818236], 'a4': [-1.9973036184802861, -0.10381837797594237], 'a5': [-3.1123594772535648, -0.7103757406394645], 'a6': [1.370121030050679, 0.35038316599526664], 'a7': [2.6427315647359606, 0.12637197770162545], 'a8': [-0.2201082935356847, 2.81984970151191], 'a9': [-0.9009688679024191, -0.4338837391175581], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.6952036388512886, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.03671771724735807, 1.413736824603555]]], [3, [[1.0, 0], [0.2225209339563144, -0.9749279121818236]]], [7, [[1.0, 0], [-2.6427315647359606, -0.12637197770162545]]]], 'bad_primes': [2, 3, 7], 'central_character': '588.223', 'coefficient_field': 'CDF', 'conductor': 588, 'conductor_radical': 42, 'conjugate': 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{'__RealLiteral__': 0, 'data': '0.140821835447', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.01916093055155127730300569547', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.44062529422585547444019302972', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.24796182383238757949621752529', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.6952036388512886, 'bad_primes': [2, 3, 7], 'central_character': '196.27', 'conductor': 588, 'conductor_radical': 42, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/588/2/x/a/223/15'], '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': '2-588-196.27-c1-0-18', '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': '2-588-196.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.166841858293145, 'root_angle': 0.14082183544651317, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.01916093055155127730300569547', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1291939965342834796812525200299', 'Lhash_array': ['1291939965342834796812525200299'], 'label': '2-588-196.27-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/588/2/x/a/223/15'}