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lfunc_lfunctions • Show schema
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{'Lhash': '4194434800414772274670949794623', 'a10': [-39.88733688027156, 0.0], 'a2': [0.0, -5.245082336420693], 'a3': [5.082396961240557, -1.0813145372058757], 'a4': [-19.51088871583236, 0.0], 'a5': [0.0, -7.604711293720349], 'a6': [-5.671583779213455, -26.657590528081048], 'a7': [-11.149091213170232, 0.0], 'a8': [0.0, 60.37555907991658], 'a9': [24.661517743254485, -10.99133943608076], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.487177630533879, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-5.082396961240557, 1.0813145372058757]]], [31, [[1.0, 0], [136.50738840290285, 105.62543685788486]]]], 'bad_primes': [3, 31], 'central_character': '93.92', 'coefficient_field': 'CDF', 'conductor': 93, 'conductor_radical': 93, 'conjugate': '1113605474854530905649029569066', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 5.245082336420693], [-8.0, 0]], [[1.0, 0], [-5.082396961240557, 1.0813145372058757]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.487177630533879, 'bad_primes': [3, 31], 'central_character': '93.92', 'conductor': 93, 'conductor_radical': 93, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/93/4/c/b/92/2'], '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': '2-93-93.92-c3-0-26', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-93-93.92-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3424725463778393, 'root_angle': -0.4285536593270217, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '3.30882563354571123988728622383', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4194434800414772274670949794623', 'Lhash_array': ['4194434800414772274670949794623'], 'factors': ['2-93-93.92-c3-0-26'], 'label': '2-93-93.92-c3-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/93/4/c/b/92/2'}