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lfunc_lfunctions • Show schema
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{'Lhash': '982114000447777777881120771957', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.23606797749979, -2.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 2.0], 'a8': [0.0, 0.0], 'a9': [1.0, 8.94427190999916], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.174407930808908, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [2.23606797749979, 2.0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '300.149', 'coefficient_field': 'CDF', 'conductor': 300, 'conductor_radical': 30, 'conjugate': '1585560103314482944613042693246', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.23606797749979, 2.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -2.0], [-49.0, 0]], [[1.0, 0], [0, -13.416407864998739], [-121.0, 0]], [[1.0, 0], [0, 8.0], [-169.0, 0]], [[1.0, 0], [13.416407864998739, 0], [289.0, 0]], [[1.0, 0], [-34.0, 0], [361.0, 0]], [[1.0, 0], 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'10.78807501206847077592719275585165', '11.28345877427665201339789754580291'], 'prelabel': '2-300-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8590921515069967, 'root_angle': -0.12013685515079679, 'root_number': '0.9296181273332772 - 0.3685242696666948*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0600684275754', 'prec': 54}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.77475133942346317145728847786', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.13385976447391963677200149841', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.33337270366909505230202698452', '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': '15.14', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/3/b/c/149/1'], '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': '2-300-15.14-c2-0-3', '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': '2-300-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8590921515069967, 'root_angle': -0.060068427575398396, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77475133942346317145728847786', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '982114000447777777881120771957', 'Lhash_array': ['982114000447777777881120771957'], 'label': '2-300-15.14-c2-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/300/3/b/c/149/1'}