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lfunc_lfunctions • Show schema
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{'Lhash': '1404618532319688802230648257121', 'a10': [-46.075778615981974, -57.77719891136874], 'a2': [-0.8468435518615547, 3.7102640245214435], 'a3': [3.0481147578525936, -3.822215010991509], 'a4': [-5.841164187109211, -2.8129564167993064], 'a5': [-12.107106758804086, 15.181831679388377], 'a6': [11.600150521246116, 14.54612866455997], 'a7': [13.1709009243391, 13.020267617881109], 'a8': [-3.5990600112558457, 4.5130785069827155], 'a9': [0.6897412036104436, 3.0219536635313764], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.8910935902812915, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-13.1709009243391, -13.020267617881109]]]], 'bad_primes': [7], 'central_character': '49.15', 'coefficient_field': 'CDF', 'conductor': 49, 'conductor_radical': 7, 'conjugate': '3750524954524082262347491296814', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8468435518615547, -3.7102640245214435], [-7.207750943219353, 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'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10804864689591873558878203515', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.68104497269954436237226583695', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.55605938806176445449520601409', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.8910935902812915, 'bad_primes': [7], 'central_character': '49.15', 'conductor': 49, 'conductor_radical': 7, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/49/4/e/a/15/3'], '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': '2-7e2-49.15-c3-0-4', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-7e2-49.15-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.700321613778197, 'root_angle': -0.3640755738948678, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10804864689591873558878203515', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1404618532319688802230648257121', 'Lhash_array': ['1404618532319688802230648257121'], 'label': '2-7e2-49.15-c3-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/49/4/e/a/15/3'}