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lfunc_lfunctions • Show schema
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{'Lhash': '1012029867361759508476803742230', 'a10': [0.0, 0.0], 'a2': [0.9081989777907046, -1.0840547111377357], 'a3': [-2.0178469404241706, 1.4660516172236597], 'a4': [-0.35034923347983876, -1.9690747610489778], 'a5': [0.0, 0.0], 'a6': [-0.24332636620892784, 3.518923062272625], 'a7': [0.0, 0.11091700599135698], 'a8': [-2.452771587013702, -1.408513948080844], 'a9': [0.995347947490236, -3.063365991751878], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.985040202128042, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.9081989777907046, 1.0840547111377357]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '1000.349', 'coefficient_field': 'CDF', 'conductor': 1000, 'conductor_radical': 10, 'conjugate': '1318700191361323974016545071828', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.9081989777907046, 1.0840547111377357]], [[1.0, 0], [2.0178469404241706, -1.4660516172236597], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.985040202128042, 'bad_primes': [2, 5], 'central_character': '200.69', 'conductor': 1000, 'conductor_radical': 10, 'degree': 2, 'index': 36, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1000/2/o/a/349/20'], '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': '2-10e3-200.69-c1-0-36', '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': '2-10e3-200.69-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8257813436513524, 'root_angle': 0.015850361799533967, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.798350797277698116365581233860', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1012029867361759508476803742230', 'Lhash_array': ['1012029867361759508476803742230'], 'label': '2-10e3-200.69-c1-0-36', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1000/2/o/a/349/20'}