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lfunc_lfunctions • Show schema
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{'Lhash': '552304204810196347556840798958', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-1.5, -0.8660254037844386], 'a4': [0, 0], 'a5': [-1.5, 0.8660254037844386], 'a6': [0, 0], 'a7': [-7.0, 0], 'a8': [0, 0], 'a9': [-3.0, -5.196152422706632], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 12.207115843341303, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [7.0, 0]]]], 'bad_primes': [2, 7], 'central_character': '448.129', 'coefficient_field': 'CDF', 'conductor': 448, 'conductor_radical': 14, 'conjugate': '1490096614518548637560894374776', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.5, 0.8660254037844386], [4.5, 7.794228634059948]], [[1.0, 0], [1.5, -0.8660254037844386], [12.5, -21.650635094610966]], [[1.0, 0], [7.0, 0]], [[1.0, 0], [-7.5, 12.99038105676658], [-60.5, -104.78907385791707]], [[1.0, 0], [0, -13.856406460551018], [-169.0, 0]], [[1.0, 0], [-25.5, -14.722431864335457], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 12.207115843341303, 'bad_primes': [2, 7], 'central_character': '7.3', 'conductor': 448, 'conductor_radical': 14, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/3/s/a/129/1'], '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': '2-448-7.3-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': '2-448-7.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.49386832083599, 'root_angle': -0.1868396197206128, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.43569119496394259340297456663', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '552304204810196347556840798958', 'Lhash_array': ['552304204810196347556840798958'], 'factors': ['2-448-7.3-c2-0-3'], 'label': '2-448-7.3-c2-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/448/3/s/a/129/1'}