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lfunc_lfunctions • Show schema
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{'Lhash': '1751346909700959202930576194902', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [25.88916700363209, -49.545444107990875], 'a6': [0, 0], 'a7': [154.88630836025794, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 115.47635026534608, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-25.88916700363209, 49.545444107990875]]]], 'bad_primes': [2, 3, 5], 'central_character': '720.719', 'coefficient_field': 'CDF', 'conductor': 720, 'conductor_radical': 30, 'conjugate': '691918769909838752323197750606', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-25.88916700363209, 49.545444107990875]], [[1.0, 0], [-154.88630836025794, 0], [16807.0, 0]], [[1.0, 0], [-104.12500031530118, 0], [161051.0, 0]], [[1.0, 0], [0, 727.7715294613166], [-371293.0, 0]], [[1.0, 0], [-484.8007262186116, 0], 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'1.38156910854272029860715354340', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.10530853271871728982738225407', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.41013045853274778401782637586', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 115.47635026534608, 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'conductor': 720, 'conductor_radical': 30, 'degree': 2, 'index': 52, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/720/6/o/d/719/26'], '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': '2-720-60.59-c5-0-52', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-720-60.59-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.745992288539298, 'root_angle': 0.31201165908757006, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.38156910854272029860715354340', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1751346909700959202930576194902', 'Lhash_array': ['1751346909700959202930576194902'], 'label': '2-720-60.59-c5-0-52', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/720/6/o/d/719/26'}