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lfunc_lfunctions • Show schema
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{'Lhash': '627489932445962732079536552786', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.4134191976559758, 2.4481138627333876], 'a4': [0.0, 0.0], 'a5': [0.0, 1.0], 'a6': [0.0, 0.0], 'a7': [-1.814139266517826, 1.0473937938715372], 'a8': [0.0, 0.0], 'a9': [-2.4955076566049246, -4.322346051916876], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, -1.0]]], [13, [[1.0, 0], [3.5902952443479985, 0.331330738707027]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.121', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '3720631086097969112395577962660', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.4134191976559758, -2.4481138627333876], [-1.5, -2.598076211353316]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [1.814139266517826, -1.0473937938715372], [3.5, -6.06217782649107]], 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'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.9747896129015484, 'root_number': '-0.996865258398942 - 0.07911799161512248*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.487394806451', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.49500227612639370727210155501', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.19855523080941054973023126502', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.22777394802076983601264433189', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '13.4', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/x/a/121/1'], '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': '2-260-13.4-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': '2-260-13.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.4873948064507742, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.49500227612639370727210155501', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '627489932445962732079536552786', 'Lhash_array': ['627489932445962732079536552786'], 'label': '2-260-13.4-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/x/a/121/1'}