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lfunc_lfunctions • Show schema
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{'Lhash': '5895854234287424312930605554283', 'a10': [2.5208771212564183e-59, -29.454092785393343], 'a2': [0.2915954306773822, -0.09474509875859852], 'a3': [-33.553376668387656, -24.377955107766464], 'a4': [-51.701036378543485, 37.56300167096411], 'a5': [29.68613280168798, -91.36452220615338], 'a6': [-12.09370308451694, -3.929482332552207], 'a7': [-91.49373482900381, -125.93032245502457], 'a8': [-23.0506924421418, 31.726556331705492], 'a9': [306.27100171508766, 942.6052198926991], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.5305949198183613, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [-941.7103478004843, 940.6075806868084]]]], 'bad_primes': [11], 'central_character': '11.6', 'coefficient_field': 'CDF', 'conductor': 11, 'conductor_radical': 11, 'conjugate': '569095415141415894511820515101', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.2915954306773822, 0.09474509875859852], [51.77708763999664, 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{'__RealLiteral__': 0, 'data': '4.65100890831111296238168884095', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '6.22782184244619567810527710834', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '9.603724711571852166404302421427', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.5305949198183613, 'bad_primes': [11], 'central_character': '11.6', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/7/d/a/6/3'], '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': '2-11-11.6-c6-0-4', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-11-11.6-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5907843725088455, 'root_angle': 0.4215941090277288, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '4.65100890831111296238168884095', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5895854234287424312930605554283', 'Lhash_array': ['5895854234287424312930605554283'], 'label': '2-11-11.6-c6-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/7/d/a/6/3'}