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lfunc_lfunctions • Show schema
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{'Lhash': '1195073028454038518414534849742', 'a10': [0, 0], 'a2': [-5.354819425968818, -5.943560289529078], 'a3': [0, -40.37287339788625], 'a4': [-6.651817830533956, 63.65338419557432], 'a5': [0, 0], 'a6': [-239.95860710186162, 216.18944675318102], 'a7': [0, 450.70458806630427], 'a8': [413.9470099359023, -301.3168979083748], 'a9': [-900.9689064017513, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.005408361985104, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [5.354819425968818, 5.943560289529078]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '100.51', 'coefficient_field': 'CDF', 'conductor': 100, 'conductor_radical': 10, 'conjugate': '1144300518373406246442034419995', 'degree': 2, 'euler_factors': [[[1.0, 0], [5.354819425968818, 5.943560289529078]], [[1.0, 0], [0, 40.37287339788625], [-729.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -450.70458806630427], [-117649.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.005408361985104, 'bad_primes': [2, 5], 'central_character': '4.3', 'conductor': 100, 'conductor_radical': 10, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/100/7/b/f/51/3'], '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': '2-10e2-4.3-c6-0-25', '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': '2-10e2-4.3-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.79639535088436, 'root_angle': 0.26657164132401606, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.942746391031468824158838242629371', 'prec': 117}}
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lfunc_instances • Show schema
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{'Lhash': '1195073028454038518414534849742', 'Lhash_array': ['1195073028454038518414534849742'], 'label': '2-10e2-4.3-c6-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/100/7/b/f/51/3'}