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lfunc_lfunctions • Show schema
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{'Lhash': '158711368828724911088456455713', 'a10': [0.0, 0.0], 'a2': [8.095042130407714, 0.0], 'a3': [-11.180329863741315, 0.0], 'a4': [33.52970709307587, 0.0], 'a5': [0.0, 0.0], 'a6': [-90.50524127884148, 0.0], 'a7': [-223.48855391340618, 0.0], 'a8': [12.38304336563269, 0.0], 'a9': [-118.00022413793411, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 172.41260629895422, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [43, [[1.0, 0], [-1849.0, 0]]]], 'bad_primes': [5, 43], 'central_character': '1075.1', 'coefficient_field': 'CDF', 'conductor': 1075, 'conductor_radical': 215, 'degree': 2, 'euler_factors': [[[1.0, 0], [-8.095042130407714, 0], [32.0, 0]], [[1.0, 0], [11.180329863741315, 0], [243.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [223.48855391340618, 0], [16807.0, 0]], [[1.0, 0], [631.8965058894831, 0], [161051.0, 0]], [[1.0, 0], [28.572398958759347, 0], [371293.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 172.41260629895422, 'bad_primes': [5, 43], 'central_character': '1.1', 'conductor': 1075, 'conductor_radical': 215, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1075/6/a/a/1/7'], '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': '2-1075-1.1-c5-0-13', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-1075-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.130598093725746, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.12520119408309380952148752734', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '158711368828724911088456455713', 'Lhash_array': ['158711368828724911088456455713'], 'label': '2-1075-1.1-c5-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1075/6/a/a/1/7'}