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lfunc_lfunctions • Show schema
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{'Lhash': '1672808552259095043213380543686', 'a10': [1.3865762472225782, -0.5046724815295536], 'a2': [-0.5971585917027862, 0.8021231927550437], 'a3': [0.0, 0.0], 'a4': [-0.28680323271109026, -0.9579895123154889], 'a5': [-1.2328154212600655, -0.8108354580791428], 'a6': [0.0, 0.0], 'a7': [0.6949840485813635, 0.7366400555666998], 'a8': [0.9396926207859084, 0.3420201433256687], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8807295382342284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5971585917027862, -0.8021231927550437]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '486.469', 'coefficient_field': 'CDF', 'conductor': 486, 'conductor_radical': 6, 'conjugate': '1143810278102859579926580233100', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5971585917027862, -0.8021231927550437]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.2328154212600655, 0.8108354580791428], 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'0.01675979018', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.31961326879655994851328397218', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.97489980856010772748983701915', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.95387321058844390816504491664', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.8807295382342284, 'bad_primes': [2, 3], 'central_character': '81.58', 'conductor': 486, 'conductor_radical': 6, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/486/2/g/b/469/2'], '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': '2-486-81.58-c1-0-2', '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': '2-486-81.58-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9699567351173548, 'root_angle': 0.016759790180039057, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31961326879655994851328397218', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1672808552259095043213380543686', 'Lhash_array': ['1672808552259095043213380543686'], 'label': '2-486-81.58-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/486/2/g/b/469/2'}