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lfunc_lfunctions • Show schema
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{'Lhash': '225442233969480095077057298429', 'a10': [2.6858358397587594, 1.5506680450838644], 'a2': [0.0, -1.0], 'a3': [0.30743988322830595, 1.7045470712774597], 'a4': [-1.0, 0.0], 'a5': [-1.5506680450838644, 2.6858358397587594], 'a6': [1.7045470712774597, -0.30743988322830595], 'a7': [0.0, 0.0], 'a8': [0.0, 1.0], 'a9': [-2.810961436401131, 1.0480915051013864], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.042805458276933, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.0]]], [3, [[1.0, 0], [-0.30743988322830595, -1.7045470712774597]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '882.227', 'coefficient_field': 'CDF', 'conductor': 882, 'conductor_radical': 42, 'conjugate': '3076523593349300696457387959438', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0]], [[1.0, 0], [-0.30743988322830595, -1.7045470712774597]], [[1.0, 0], [1.5506680450838644, -2.6858358397587594], [-2.5, 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'9.157393025306141336142389654019409'], 'prelabel': '2-882-63.38-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6538284530611493, 'root_angle': 0.9955719534208819, 'root_number': '-0.9999032419500042 + 0.013910669928913794*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.49778597671', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.17784256476421120532762158345', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.58880802044494469792554012635', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.34577976885742959422518694893', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.042805458276933, 'bad_primes': [2, 3, 7], 'central_character': '63.38', 'conductor': 882, 'conductor_radical': 42, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/882/2/l/c/227/8'], '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': '2-882-63.38-c1-0-3', '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': '2-882-63.38-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6538284530611493, 'root_angle': 0.49778597671044095, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.17784256476421120532762158345', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '225442233969480095077057298429', 'Lhash_array': ['225442233969480095077057298429'], 'label': '2-882-63.38-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/882/2/l/c/227/8'}