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lfunc_lfunctions • Show schema
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{'Lhash': '3782243347731743073332976209579', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, -76.94966881965432], 'a4': [0.0, 0.0], 'a5': [0.0, -338.44259553388264], 'a6': [0.0, 0.0], 'a7': [438.99629009326185, 0.0], 'a8': [0.0, 0.0], 'a9': [-3734.2515314544803, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.9963208154919, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '32.17', 'coefficient_field': 'CDF', 'conductor': 32, 'conductor_radical': 2, 'conjugate': '886884577762022690599727636970', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 76.94966881965432], [-2187.0, 0]], [[1.0, 0], [0, 338.44259553388264], [-78125.0, 0]], [[1.0, 0], [-438.99629009326185, 0], [823543.0, 0]], [[1.0, 0], [0, -1966.5784285360592], [-19487171.0, 0]], [[1.0, 0], [0, -2210.979695510422], [-62748517.0, 0]], [[1.0, 0], [12114.879437196983, 0], [410338673.0, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.09447505341967614494552090934', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.9963208154919, 'bad_primes': [2], 'central_character': '8.5', 'conductor': 32, 'conductor_radical': 2, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/32/8/b/a/17/1'], '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': '2-2e5-8.5-c7-0-5', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-2e5-8.5-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.16169587650234, 'root_angle': 0.4731721561753648, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '2.98366391105781296884562579858', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3782243347731743073332976209579', 'Lhash_array': ['3782243347731743073332976209579'], 'label': '2-2e5-8.5-c7-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/32/8/b/a/17/1'}