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lfunc_lfunctions • Show schema
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{'Lhash': '3201041051707405806950159833527', 'a10': [80090.49518734588, -9.614194815916295e-58], 'a2': [21.485052605517247, -37.213202716045956], 'a3': [45.732119579079495, 79.2103546487811], 'a4': [-667.2149709236869, -1155.650229210417], 'a5': [931.9327331642077, 1614.154843076937], 'a6': [3930.227979673313, -4.530585187247643e-59], 'a7': [-4988.168947615488, -8639.762054007404], 'a8': [-35339.90112988663, 0.0], 'a9': [5658.646477609547, -9801.0632012904], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.05632593806331, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[37, [[1.0, 0], [-959953.2277038107, -11359587.562746195]]]], 'bad_primes': [37], 'central_character': '37.10', 'coefficient_field': 'CDF', 'conductor': 37, 'conductor_radical': 37, 'conjugate': '729591534388635883977016530286', 'degree': 2, 'euler_factors': [[[1.0, 0], [-21.485052605517247, 37.213202716045956], [-256.0, -443.40500673763256]], [[1.0, 0], 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'data': '5.65151521276186036242904799891', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.05632593806331, 'bad_primes': [37], 'central_character': '37.10', 'conductor': 37, 'conductor_radical': 37, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/37/10/c/a/10/27'], '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': '2-37-37.10-c9-0-23', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-37-37.10-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.365355190366909, 'root_angle': -0.4534963674592859, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '2.52517614169952380210787050506', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3201041051707405806950159833527', 'Lhash_array': ['3201041051707405806950159833527'], 'label': '2-37-37.10-c9-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/37/10/c/a/10/27'}