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lfunc_lfunctions • Show schema
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{'Lhash': '683829280125741307683874837625', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.8060634335253696, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-4.156325174658662, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.3502617411332922, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 46.31323317234264, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [29, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 29], 'central_character': '5800.1', 'coefficient_field': 'CDF', 'conductor': 5800, 'conductor_radical': 290, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.8060634335253696, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [4.156325174658662, 0], [7.0, 0]], [[1.0, 0], [1.1939365664746304, 0], [11.0, 0]], [[1.0, 0], [-5.350261741133292, 0], [13.0, 0]], [[1.0, 0], [3.7684520417094007, 0], [17.0, 0]], [[1.0, 0], [6.156325174658662, 0], [19.0, 0]], [[1.0, 0], 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'4.11303815967464856815877719078539', '5.45889891843528060525136875486445', '6.07684867685803144114507208394175', '6.59039657156940479621702990775639', '7.32518373139518129932743847594280', '8.420960991091668778306571104105658'], 'prelabel': '2-5800-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.8053826617129065, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.53944618493662514556937772009', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.13700673107348871544623810274', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.79929170569789157885945234973', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 46.31323317234264, 'bad_primes': [2, 5, 29], 'central_character': '1.1', 'conductor': 5800, 'conductor_radical': 290, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5800/2/a/r/1/2'], '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': '2-5800-1.1-c1-0-17', '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': '2-5800-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.8053826617129065, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53944618493662514556937772009', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '683829280125741307683874837625', 'Lhash_array': ['683829280125741307683874837625'], 'factors': ['2-5800-1.1-c1-0-17'], 'label': '2-5800-1.1-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5800/2/a/r/1/2'}