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lfunc_lfunctions • Show schema
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{'Lhash': '283160979564782473194546039962', 'a10': [0, 0], 'a2': [0, 2.1986912435159973], 'a3': [0, 2.8342431843139217], 'a4': [-2.8342431843139217, 0], 'a5': [0, 0], 'a6': [-6.231625671345916, 0], 'a7': [0, 0], 'a8': [0, -1.8342431843139217], 'a9': [-5.032934427829919, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.781674247606851, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 7], 'central_character': '1225.99', 'coefficient_field': 'CDF', 'conductor': 1225, 'conductor_radical': 35, 'conjugate': '3519764892150836296871985544812', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.1986912435159973], [-2.0, 0]], [[1.0, 0], [0, -2.8342431843139217], [-3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.5631393027180724, 0], [11.0, 0]], [[1.0, 0], [0, 0.5631393027180726], [-13.0, 0]], [[1.0, 0], [0, 5.198691243515997], [-17.0, 0]], [[1.0, 0], 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'2.21695896597398907907171267376', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.781674247606851, 'bad_primes': [5, 7], 'central_character': '5.4', 'conductor': 1225, 'conductor_radical': 35, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1225/2/b/l/99/6'], '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': '2-35e2-5.4-c1-0-2', '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': '2-35e2-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.12756682544224, 'root_angle': 0.07379180882521663, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.22337462666274272724815398284', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '283160979564782473194546039962', 'Lhash_array': ['283160979564782473194546039962'], 'label': '2-35e2-5.4-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1225/2/b/l/99/6'}