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lfunc_lfunctions • Show schema
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{'Lhash': '3693129534344240856711669375625', 'a10': [-675.3536552794986, 389.91561467381626], 'a2': [1.4641016151377546, -5.464101615137754], 'a3': [6.557245452595256, 11.357482281594962], 'a4': [-27.712812921102035, -16.0], 'a5': [-97.47890366845407, -97.47890366845407], 'a6': [71.65891093676088, -19.20094731599882], 'a7': [-87.69942828786155, -327.29872216504253], 'a8': [-128.0, 128.0], 'a9': [278.5050641488377, -482.38492127101625], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.981406174116127, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.4641016151377546, 5.464101615137754]]], [13, [[1.0, 0], [2062.5544905142733, -756.7548966867715]]]], 'bad_primes': [2, 13], 'central_character': '26.11', 'coefficient_field': 'CDF', 'conductor': 26, 'conductor_radical': 26, 'conjugate': '824426445461554579587535600685', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.4641016151377546, 5.464101615137754]], [[1.0, 0], 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{'__RealLiteral__': 0, 'data': '7.16994912548619204544968028445', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.981406174116127, 'bad_primes': [2, 13], 'central_character': '13.11', 'conductor': 26, 'conductor_radical': 26, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/26/7/f/a/11/2'], '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': '2-26-13.11-c6-0-5', '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': '2-26-13.11-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4456913489065064, 'root_angle': 0.39622060651704005, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '2.91336550756125164976833991539', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3693129534344240856711669375625', 'Lhash_array': ['3693129534344240856711669375625'], 'label': '2-26-13.11-c6-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/26/7/f/a/11/2'}