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lfunc_lfunctions • Show schema
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{'Lhash': '623980739717205588202586917800', 'a10': [0.0, 0.0], 'a2': [-1.6275953626987474, -1.9396926207859084], 'a3': [-1.3268278963378768, -1.1133407984528387], 'a4': [-0.766044443118978, 4.344453923279833], 'a5': [0.0, 0.0], 'a6': [-4.300203420380087e-61, 4.385706600244631], 'a7': [-3.017626026941956, 0.532088886237956], 'a8': [5.288008999327243, -3.053033419238747], 'a9': [0.520944533000791, 2.9544232590366244], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.389902136436429, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.3268278963378768, 1.1133407984528387]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '675.49', 'coefficient_field': 'CDF', 'conductor': 675, 'conductor_radical': 15, 'conjugate': '785809123636089424028133067244', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.6275953626987474, 1.9396926207859084], [-0.3472963553338607, 1.969615506024416]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.389902136436429, 'bad_primes': [3, 5], 'central_character': '135.49', 'conductor': 675, 'conductor_radical': 15, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/675/2/u/a/49/1'], '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': '2-675-135.49-c1-0-7', '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': '2-675-135.49-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.321616276742655, 'root_angle': 0.23119921623262404, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.49223401117379135420759553065', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '623980739717205588202586917800', 'Lhash_array': ['623980739717205588202586917800'], 'factors': ['2-675-135.49-c1-0-7'], 'label': '2-675-135.49-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/675/2/u/a/49/1'}