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lfunc_lfunctions • Show schema
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{'Lhash': '853306361042812561455603092829', 'a10': [-0.45683339498595454, 2.1889045774600606], 'a2': [0.5877852522924731, -0.8090169943749475], 'a3': [0.0, 0.0], 'a4': [-0.30901699437494745, -0.9510565162951535], 'a5': [-2.039380934557749, 0.917019849164871], 'a6': [0.0, 0.0], 'a7': [0.0, 4.80694082642652], 'a8': [-0.9510565162951535, -0.30901699437494745], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.593268090957619, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5877852522924731, 0.8090169943749475]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.039380934557749, -0.917019849164871]]]], 'bad_primes': [2, 3, 5], 'central_character': '450.109', 'coefficient_field': 'CDF', 'conductor': 450, 'conductor_radical': 30, 'conjugate': '2570291601574413136663585349675', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5877852522924731, 0.8090169943749475]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.593268090957619, 'bad_primes': [2, 3, 5], 'central_character': '25.9', 'conductor': 450, 'conductor_radical': 30, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/450/2/l/c/109/3'], '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': '2-450-25.9-c1-0-1', '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': '2-450-25.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8955917521865353, 'root_angle': -0.16450751109030332, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.67314002840308064039861946339', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '853306361042812561455603092829', 'Lhash_array': ['853306361042812561455603092829'], 'label': '2-450-25.9-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/450/2/l/c/109/3'}