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lfunc_lfunctions • Show schema
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{'Lhash': '1114675480062876141405148410984', 'a10': [-0.662918437792362, -3.3079888437520726], 'a2': [-1.3866439271471804, 0.2778823839430002], 'a3': [-0.662918437792362, -1.6001684738910882], 'a4': [1.84556276138831, -0.7706478403114847], 'a5': [0.0, 2.385607998556473], 'a6': [1.3638904561939627, 2.034650540879938], 'a7': [2.6382850923266097, 0.0], 'a8': [-2.3449889362018013, 1.5814635275880204], 'a9': [-2.1210782896698683, 2.1215623698329362], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.4913325430639492, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3866439271471804, -0.2778823839430002]]], [3, [[1.0, 0], [0.662918437792362, 1.6001684738910882]]], [13, [[1.0, 0], [1.051746009971426, -3.448743297276442]]]], 'bad_primes': [2, 3, 13], 'central_character': '312.155', 'coefficient_field': 'CDF', 'conductor': 312, 'conductor_radical': 78, 'conjugate': '1967422259739647519196363703351', 'degree': 2, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.4913325430639492, 'bad_primes': [2, 3, 13], 'central_character': '312.155', 'conductor': 312, 'conductor_radical': 78, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/312/2/h/c/155/3'], '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': '2-312-312.155-c1-0-8', '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': '2-312-312.155-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5783955597580568, 'root_angle': -0.10983103884014855, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.879323908230066370108654852814', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1114675480062876141405148410984', 'Lhash_array': ['1114675480062876141405148410984'], 'label': '2-312-312.155-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/312/2/h/c/155/3'}