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lfunc_lfunctions • Show schema
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{'Lhash': '1830126835598400859413144452871', 'a10': [-0.6574063745285481, -0.032960959699025585], 'a2': [1.303038118057126, 0.549628659087336], 'a3': [0.0, 0.0], 'a4': [1.3958166742197138, 1.4323741871348483], 'a5': [-0.4373709265730223, 0.1591899986060089], 'a6': [0.0, 0.0], 'a7': [3.461766411524303, -0.6104028192620577], 'a8': [1.031528428541773, 2.6336190121409246], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.174306050978972, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.303038118057126, -0.549628659087336]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '648.611', 'coefficient_field': 'CDF', 'conductor': 648, 'conductor_radical': 6, 'conjugate': '2266900394567953009213190013846', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.303038118057126, -0.549628659087336]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.4373709265730223, -0.1591899986060089], [3.83022221559489, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.174306050978972, 'bad_primes': [2, 3], 'central_character': '216.59', 'conductor': 648, 'conductor_radical': 6, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/648/2/v/b/611/29'], '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': '2-648-216.59-c1-0-18', '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': '2-648-216.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2747101026238425, 'root_angle': -0.13502570765007535, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.44371551219942035457748722735', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1830126835598400859413144452871', 'Lhash_array': ['1830126835598400859413144452871'], 'label': '2-648-216.59-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/648/2/v/b/611/29'}