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lfunc_lfunctions • Show schema
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{'Lhash': '1165871251346788823713488628280', 'a10': [-0.9423655189553442, 0.0], 'a2': [-0.9423655189553442, 0.0], 'a3': [-1.0, 0.0], 'a4': [-1.1119472286840248, 0.0], 'a5': [1.0, 0.0], 'a6': [0.9423655189553442, 0.0], 'a7': [5.067701528670265, 0.0], 'a8': [2.932591765120466, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.030016815800174, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [401, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 5, 401], 'central_character': '6015.1', 'coefficient_field': 'CDF', 'conductor': 6015, 'conductor_radical': 6015, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9423655189553442, 0], [2.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-5.067701528670265, 0], [7.0, 0]], [[1.0, 0], [-0.5954290854428576, 0], [11.0, 0]], [[1.0, 0], [-2.0759157815165925, 0], [13.0, 0]], [[1.0, 0], [-1.1355872453729765, 0], [17.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.030016815800174, 'bad_primes': [3, 5, 401], 'central_character': '1.1', 'conductor': 6015, 'conductor_radical': 6015, 'degree': 2, 'index': 112, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6015/2/a/g/1/13'], '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': '2-6015-1.1-c1-0-112', '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': '2-6015-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.930369168796146, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.919710250708581610456293076516', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1165871251346788823713488628280', 'Lhash_array': ['1165871251346788823713488628280'], 'label': '2-6015-1.1-c1-0-112', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6015/2/a/g/1/13'}