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lfunc_lfunctions • Show schema
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{'Lhash': '1622986813198465524938479425605', 'a10': [-0.2869889761197691, 0.49707948785161127], 'a2': [0.22323779409789932, 1.2660444431189781], 'a3': [0.0, 0.0], 'a4': [0.32635182233306964, -0.11878234922776941], 'a5': [0.3420201433256687, 0.2869889761197691], 'a6': [0.0, 0.0], 'a7': [3.3190778623577253, 1.2080455471101075], 'a8': [1.508813013470978, 2.613340798452839], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.821094307351343, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '729.82', 'coefficient_field': 'CDF', 'conductor': 729, 'conductor_radical': 3, 'conjugate': '2140884396293299080337304353364', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.22323779409789932, -1.2660444431189781], [-1.8793852415718169, 0.6840402866513374]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.3420201433256687, -0.2869889761197691], [0.8682408883346517, 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'2.23383950060896805318108107847', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.60440898636823535859337145282', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.821094307351343, 'bad_primes': [3], 'central_character': '27.13', 'conductor': 729, 'conductor_radical': 3, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/2/e/r/82/2'], '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': '2-3e6-27.13-c1-0-11', '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': '2-3e6-27.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': -0.23148148148148148, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28031084662150670435868966997', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1622986813198465524938479425605', 'Lhash_array': ['1622986813198465524938479425605'], 'label': '2-3e6-27.13-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/e/r/82/2'}