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lfunc_lfunctions • Show schema
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{'Lhash': '2311453301949241284172020930628', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 1.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.11228962784242555, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '225.118', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '3262096035300783322822612495804', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 2.0], [-1.0, 0]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [2.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 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{'__RealLiteral__': 0, 'data': '-0.08810409558739168', 'prec': 67}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.82341514415177521088400579334', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.79449030796393505024174188555', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.26331522599767078774420425881', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.11228962784242555, 'bad_primes': [3, 5], 'central_character': '5.3', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 0, 'instance_types': ['CMF', 'Artin'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/1/g/a/118/1', 'ArtinRepresentation/2.225.8t7.a.a'], 'is_instance_Artin': True, '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': '2-15e2-5.3-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-15e2-5.3-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.3350964455830971, 'root_angle': -0.0881040955873917, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.82341514415177521088400579334', 'prec': 103}}
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lfunc_instances • Show schema
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id: 24596498
{'Lhash': '2311453301949241284172020930628', 'Lhash_array': ['2311453301949241284172020930628'], 'label': '2-15e2-5.3-c0-0-0', 'type': 'Artin', 'url': 'ArtinRepresentation/2.225.8t7.a.a'}
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id: 19802410
{'Lhash': '2311453301949241284172020930628', 'Lhash_array': ['2311453301949241284172020930628'], 'label': '2-15e2-5.3-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/1/g/a/118/1'}