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lfunc_lfunctions • Show schema
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{'Lhash': '1485356046525937298290043040000', 'a10': [2.5918997997971194, -0.4046084361549007], 'a2': [-1.1731711348985758, 0], 'a3': [-1.0, 0], 'a4': [-0.6236694882407877, 0], 'a5': [-2.209310920372412, 0.3448844112499242], 'a6': [1.1731711348985758, 0], 'a7': [-1.7173924376125782, -2.0126011068344187], 'a8': [3.0780133111182106, 0], 'a9': [1.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.222721433457888, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [2.209310920372412, -0.3448844112499242]]], [7, [[1.0, 0], [1.7173924376125782, 2.0126011068344187]]], [11, [[1.0, 0], [-1.4821652847450235, 2.9670163580096256]]]], 'bad_primes': [3, 5, 7, 11], 'central_character': '1155.769', 'coefficient_field': 'CDF', 'conductor': 1155, 'conductor_radical': 1155, 'conjugate': '180003678279592147522546183761', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.1731711348985758, 0], [2.0, 0]], [[1.0, 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'prec': 60}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.17173931543795422462426320061', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.98598315914440824555292941002', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.14575838963493387641302736454', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.222721433457888, 'bad_primes': [3, 5, 7, 11], 'central_character': '385.384', 'conductor': 1155, 'conductor_radical': 1155, 'degree': 2, 'index': 53, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1155/2/k/a/769/16'], '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': '2-1155-385.384-c1-0-53', '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': '2-1155-385.384-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.036893385263613, 'root_angle': 0.4366582506059635, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.17173931543795422462426320061', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1485356046525937298290043040000', 'Lhash_array': ['1485356046525937298290043040000'], 'label': '2-1155-385.384-c1-0-53', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1155/2/k/a/769/16'}