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lfunc_lfunctions • Show schema
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{'Lhash': '886388994021497634563363341914', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0.43192036212842455], 'a4': [0, 0], 'a5': [0, 1.0], 'a6': [0, 0], 'a7': [-3.330352799536389, 0], 'a8': [0, 0], 'a9': [2.8134448007788504, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.692473971915598, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, -1.0]]], [23, [[1.0, 0], [-3.960386147640971, 2.7046888104869864]]]], 'bad_primes': [2, 5, 23], 'central_character': '1840.1471', 'coefficient_field': 'CDF', 'conductor': 1840, 'conductor_radical': 230, 'conjugate': '1431513281720706683279040795029', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -0.43192036212842455], [-3.0, 0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [3.330352799536389, 0], [7.0, 0]], [[1.0, 0], [1.493874072361431, 0], [11.0, 0]], [[1.0, 0], [-5.607698037336118, 0], [13.0, 0]], [[1.0, 0], [0, 0.587465793439824], [-17.0, 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'3.33730500243176400955722457631', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.692473971915598, 'bad_primes': [2, 5, 23], 'central_character': '92.91', 'conductor': 1840, 'conductor_radical': 230, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1840/2/i/c/1471/10'], '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': '2-1840-92.91-c1-0-14', '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': '2-1840-92.91-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.833076306560515, 'root_angle': -0.1786960029979437, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.69923762420174064532279115556', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '886388994021497634563363341914', 'Lhash_array': ['886388994021497634563363341914'], 'label': '2-1840-92.91-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1840/2/i/c/1471/10'}