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lfunc_lfunctions • Show schema
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{'Lhash': '975737477996507859952798826941', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.778093202387963, 1.1323418913233725], 'a4': [0.0, 0.0], 'a5': [-6.28651407199985, 6.28651407199985], 'a6': [0.0, 0.0], 'a7': [0.0, -1.6457513110645905], 'a8': [0.0, 0.0], 'a9': [6.4356036823084155, 6.291502622129181], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.231621075717701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-2.778093202387963, -1.1323418913233725]]]], 'bad_primes': [2, 3], 'central_character': '192.113', 'coefficient_field': 'CDF', 'conductor': 192, 'conductor_radical': 6, 'conjugate': '3233265901784542648559297089536', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.778093202387963, -1.1323418913233725]], [[1.0, 0], [6.28651407199985, -6.28651407199985], [0, -25.0]], [[1.0, 0], [0, 1.6457513110645905], [-49.0, 0]], [[1.0, 0], [4.752157956577029, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.231621075717701, 'bad_primes': [2, 3], 'central_character': '48.5', 'conductor': 192, 'conductor_radical': 6, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/192/3/i/a/113/4'], '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': '2-192-48.5-c2-0-4', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-192-48.5-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2872737212055974, 'root_angle': -0.30841433145324915, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76972115015039227886187311764', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '975737477996507859952798826941', 'Lhash_array': ['975737477996507859952798826941'], 'label': '2-192-48.5-c2-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/192/3/i/a/113/4'}