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lfunc_lfunctions • Show schema
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{'Lhash': '2198248108666406538056833781285', 'a10': [-0.6562629831745985, 0.0], 'a2': [1.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [-0.6562629831745985, 0.0], 'a6': [-1.0, 0.0], 'a7': [4.004230282263312, 0.0], 'a8': [1.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.1477718537675, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [11, [[1.0, 0], [1.0, 0]]], [61, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 11, 61], 'central_character': '4026.1', 'coefficient_field': 'CDF', 'conductor': 4026, 'conductor_radical': 4026, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0.6562629831745985, 0], [5.0, 0]], [[1.0, 0], [-4.004230282263312, 0], [7.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0.7135121226422854, 0], [13.0, 0]], [[1.0, 0], [6.796160850977874, 0], [17.0, 0]], [[1.0, 0], [2.112369120623648, 0], 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'6.43987374853243827449932050008948', '7.40956518071740262333676724832401', '7.84149053181722045920433135359750'], 'prelabel': '2-4026-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.669900515332478, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.73411199290295858794871102990', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.26033909355797893785173711367', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.76524095095624779966625101928', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 32.1477718537675, 'bad_primes': [2, 3, 11, 61], 'central_character': '1.1', 'conductor': 4026, 'conductor_radical': 4026, 'degree': 2, 'index': 96, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4026/2/a/x/1/3'], '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': '2-4026-1.1-c1-0-96', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-4026-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.669900515332478, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.73411199290295858794871102990', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2198248108666406538056833781285', 'Lhash_array': ['2198248108666406538056833781285'], 'label': '2-4026-1.1-c1-0-96', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4026/2/a/x/1/3'}