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lfunc_lfunctions • Show schema
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{'Lhash': '2964581264297926177469164435067', 'a10': [-1.618033988749895, -1.3864490777176707e-79], 'a2': [-0.9510565162951535, -1.3090169943749475], 'a3': [0.0, 0.0], 'a4': [-0.5, 1.5388417685876268], 'a5': [0.5877852522924731, -0.8090169943749475], 'a6': [0.0, 0.0], 'a7': [-1.618033988749895, 0.0], 'a8': [0.9510565162951535, -0.30901699437494745], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.3368688835272766, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.5877852522924731, 0.8090169943749475]]]], 'bad_primes': [3, 5], 'central_character': '675.161', 'coefficient_field': 'CDF', 'conductor': 675, 'conductor_radical': 15, 'conjugate': '572433982158670745255846888475', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9510565162951535, 1.3090169943749475], [-0.30901699437494745, 0.9510565162951535]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.5877852522924731, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.3368688835272766, 'bad_primes': [3, 5], 'central_character': '75.11', 'conductor': 675, 'conductor_radical': 15, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/675/1/o/a/161/1'], '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': '2-675-75.11-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-675-75.11-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.5804040691856637, 'root_angle': -0.42000000000000004, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.33864225975531369149378517869', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2964581264297926177469164435067', 'Lhash_array': ['2964581264297926177469164435067'], 'label': '2-675-75.11-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/675/1/o/a/161/1'}