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lfunc_lfunctions • Show schema
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{'Lhash': '2707802101217512793336312058072', 'a10': [-1.305718024570347, 2.2615699589143086], 'a2': [-0.3420201433256687, 0.9396926207859084], 'a3': [0.32635182233306964, -0.11878234922776941], 'a4': [-0.766044443118978, -0.6427876096865394], 'a5': [2.571762467689325, 0.4534711110270099], 'a6': [-1.7267970543644274e-61, 0.3472963553338607], 'a7': [-0.3610748455749622, 2.047757207230555], 'a8': [0.8660254037844386, -0.5], 'a9': [-2.2057370639048863, 1.8508331567966467], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.3420201433256687, -0.9396926207859084]]], [37, [[1.0, 0], [-6.0706845696378515, -0.38313033808469427]]]], 'bad_primes': [2, 37], 'central_character': '74.21', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '3483208209200045153120271907687', 'degree': 2, 'euler_factors': [[[1.0, 0], 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['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.13607921672580497508811577376', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.16219124229754266687910926540', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.92952947481102911955446889296', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.21', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/h/a/21/1'], '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': '2-74-37.21-c1-0-0', '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': '2-74-37.21-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': -0.13017554342787152, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.13607921672580497508811577376', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2707802101217512793336312058072', 'Lhash_array': ['2707802101217512793336312058072'], 'label': '2-74-37.21-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/h/a/21/1'}