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lfunc_lfunctions • Show schema
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{'Lhash': '2243620492670125416316863118972', 'a10': [0.0, 0.0], 'a2': [-0.30901699437494745, 0.9510565162951535], 'a3': [-0.8090169943749475, -0.5877852522924731], 'a4': [-0.8090169943749475, -0.5877852522924731], 'a5': [0.0, 0.0], 'a6': [0.8090169943749475, -0.5877852522924731], 'a7': [-0.38196601125010515, 0.0], 'a8': [0.8090169943749475, -0.5877852522924731], 'a9': [0.30901699437494745, 0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.988780151596032, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.30901699437494745, -0.9510565162951535]]], [3, [[1.0, 0], [0.8090169943749475, 0.5877852522924731]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '750.601', 'coefficient_field': 'CDF', 'conductor': 750, 'conductor_radical': 30, 'conjugate': '171068428461432157611322002361', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.30901699437494745, -0.9510565162951535]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.988780151596032, 'bad_primes': [2, 3, 5], 'central_character': '25.21', 'conductor': 750, 'conductor_radical': 30, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/750/2/g/b/601/1'], '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': '2-750-25.21-c1-0-14', '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': '2-750-25.21-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.447198429142196, 'root_angle': 0.36, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.76990449282016761812299874112', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2243620492670125416316863118972', 'Lhash_array': ['2243620492670125416316863118972'], 'label': '2-750-25.21-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/750/2/g/b/601/1'}