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lfunc_lfunctions • Show schema
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{'Lhash': '240148500915366117898149977970', 'a10': [-3.2919039860372212, 0.0], 'a2': [1.7532731528239178, 0.0], 'a3': [-3.2881247243130782, 0.0], 'a4': [1.073966748413121, 0.0], 'a5': [-1.877576224067026, 0.0], 'a6': [-5.764980802274666, 0.0], 'a7': [0.0, 0.0], 'a8': [-1.6235892386295117, 0.0], 'a9': [7.811764202638956, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 49.69090517784281, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]], [127, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [7, 127], 'central_character': '6223.1', 'coefficient_field': 'CDF', 'conductor': 6223, 'conductor_radical': 889, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7532731528239178, 0], [2.0, 0]], [[1.0, 0], [3.2881247243130782, 0], [3.0, 0]], [[1.0, 0], [1.877576224067026, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.709745194055634, 0], [11.0, 0]], [[1.0, 0], [3.716762932155643, 0], [13.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 49.69090517784281, 'bad_primes': [7, 127], 'central_character': '1.1', 'conductor': 6223, 'conductor_radical': 889, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6223/2/a/t/1/53'], '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': '2-6223-1.1-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': '2-6223-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.049177624222758, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.18944376381956469792569650514', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '240148500915366117898149977970', 'Lhash_array': ['240148500915366117898149977970'], 'factors': ['2-6223-1.1-c1-0-14'], 'label': '2-6223-1.1-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6223/2/a/t/1/53'}