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lfunc_lfunctions • Show schema
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{'Lhash': '1244165748348502005160323312972', 'a10': [-234305.1241727654, 0.0], 'a2': [-74.97763973528492, 0.0], 'a3': [243.0, 0.0], 'a4': [3573.6464602741776, 0.0], 'a5': [3125.0, 0.0], 'a6': [-18219.566455674238, 0.0], 'a7': [-63061.4718015212, 0.0], 'a8': [-114389.37066184997, 0.0], 'a9': [59049.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.525147708393837, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-243.0, 0]]], [5, [[1.0, 0], [-3125.0, 0]]]], 'bad_primes': [3, 5], 'central_character': '15.1', 'coefficient_field': 'CDF', 'conductor': 15, 'conductor_radical': 15, 'conjugate': '1244165748348502005160323312972', 'degree': 2, 'euler_factors': [[[1.0, 0], [74.97763973528492, 0], [2048.0, 0]], [[1.0, 0], [-243.0, 0]], [[1.0, 0], [-3125.0, 0]], [[1.0, 0], [63061.4718015212, 0], [1977326743.0, 0]], [[1.0, 0], [-256618.40405355152, 0], [285311670611.0, 0]], [[1.0, 0], [465622.50635424536, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.525147708393837, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 15, 'conductor_radical': 15, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/15/12/a/d/1/1'], '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': '2-15-1.1-c11-0-1', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-15-1.1-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.3948707940647513, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '0.981473718487176865459024094512', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1244165748348502005160323312972', 'Lhash_array': ['1244165748348502005160323312972'], 'label': '2-15-1.1-c11-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/15/12/a/d/1/1'}