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lfunc_lfunctions • Show schema
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{'Lhash': '2890357163356754817798914623573', 'a10': [-4.654858338380751, -4.191426507935947], 'a2': [0.946315178377063, -1.0509460419894008], 'a3': [1.0, 0.0], 'a4': [-0.20897516634637467, -1.9890523823797364], 'a5': [0.0, -4.429207735127183], 'a6': [0.946315178377063, -1.0509460419894008], 'a7': [2.817534614256463, 0.0], 'a8': [-2.2881431003890182, -1.6626488360872034], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.419972322510946, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.946315178377063, 1.0509460419894008]]], [3, [[1.0, 0], [-1.0, 0]]], [67, [[1.0, 0], [6.483824677588758, 4.996000155153224]]]], 'bad_primes': [2, 3, 67], 'central_character': '804.535', 'coefficient_field': 'CDF', 'conductor': 804, 'conductor_radical': 402, 'conjugate': '1867338604008011091985141243250', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.946315178377063, 1.0509460419894008]], [[1.0, 0], [-1.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.419972322510946, 'bad_primes': [2, 3, 67], 'central_character': '268.267', 'conductor': 804, 'conductor_radical': 402, 'degree': 2, 'index': 64, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/804/2/e/b/535/25'], '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': '2-804-268.267-c1-0-64', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-804-268.267-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.533766430141292, 'root_angle': 0.33782719186715204, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.28008976829764549839016074722', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2890357163356754817798914623573', 'Lhash_array': ['2890357163356754817798914623573'], 'label': '2-804-268.267-c1-0-64', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/804/2/e/b/535/25'}