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lfunc_lfunctions • Show schema
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{'Lhash': '257027566949096530451712852547', 'a10': [-0.6117271948301738, 0.0], 'a2': [-2.3754970104919484, 0.0], 'a3': [-3.149196303108896, 0.0], 'a4': [3.6429860468561834, 0.0], 'a5': [0.25751545555659927, 0.0], 'a6': [7.480906403487478, 0.0], 'a7': [1.3622245472994583, 0.0], 'a8': [-3.902908442586848, 0.0], 'a9': [6.917437355514737, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.155756893969624, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [], 'bad_primes': [4027], 'central_character': '4027.1', 'coefficient_field': 'CDF', 'conductor': 4027, 'conductor_radical': 4027, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.3754970104919484, 0], [2.0, 0]], [[1.0, 0], [3.149196303108896, 0], [3.0, 0]], [[1.0, 0], [-0.25751545555659927, 0], [5.0, 0]], [[1.0, 0], [-1.3622245472994583, 0], [7.0, 0]], [[1.0, 0], [3.328706151584176, 0], [11.0, 0]], [[1.0, 0], [0.5104963750060078, 0], [13.0, 0]], [[1.0, 0], [5.424558050486599, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 32.155756893969624, 'bad_primes': [4027], 'central_character': '1.1', 'conductor': 4027, 'conductor_radical': 4027, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4027/2/a/c/1/16'], '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': '2-4027-1.1-c1-0-9', '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': '2-4027-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.670604632133123, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.20275899913021850455650201835', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '257027566949096530451712852547', 'Lhash_array': ['257027566949096530451712852547'], 'label': '2-4027-1.1-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4027/2/a/c/1/16'}