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lfunc_lfunctions • Show schema
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{'Lhash': '2489543005958907592282766693160', 'a10': [4.886536527073445, 8.724778551320199], 'a2': [-1.1277625543838246, 1.6517117245238866], 'a3': [0.16336789203165822, -2.9955485193622104], 'a4': [-1.4563032418593422, -3.7254772671095404], 'a5': [2.2249915278069725, -4.477657054887879], 'a6': [4.763542419588808, 3.6481041126560525], 'a7': [3.569020596040167, -3.569020596040167], 'a8': [7.7957787455287715, 1.7960606200131044], 'a9': [-8.946621863706264, -0.9787528941735185], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.174407930808908, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.1277625543838246, -1.6517117245238866]]], [3, [[1.0, 0], [-0.16336789203165822, 2.9955485193622104]]], [5, [[1.0, 0], [-2.2249915278069725, 4.477657054887879]]]], 'bad_primes': [2, 3, 5], 'central_character': '300.287', 'coefficient_field': 'CDF', 'conductor': 300, 'conductor_radical': 30, 'conjugate': 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'-0.10135815072722182 + 0.9948500013977775*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.266159400543', 'prec': 47}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.96390314926738263045667424232', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.23974291922461166336517477486', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.25746940694727564667813079935', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.174407930808908, 'bad_primes': [2, 3, 5], 'central_character': '300.287', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'index': 91, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/3/u/a/287/35'], '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': '2-300-300.287-c2-0-91', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-300-300.287-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8590921515069967, 'root_angle': 0.26615940054349085, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.96390314926738263045667424232', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2489543005958907592282766693160', 'Lhash_array': ['2489543005958907592282766693160'], 'label': '2-300-300.287-c2-0-91', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/300/3/u/a/287/35'}