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lfunc_lfunctions • Show schema
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{'Lhash': '2802507775154766514729598422899', 'a10': [1.3382612127177165, 8.023528087190561e-61], 'a2': [1.0826760640014592, 0.786610204550514], 'a3': [0.0, 0.0], 'a4': [-0.06460214309120474, -0.19882495225804087], 'a5': [0.8090169943749475, -0.5877852522924731], 'a6': [0.0, 0.0], 'a7': [-1.1691306063588582, -3.5982140199983794], 'a8': [0.9135454576426009, -2.8116038154478655], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.952594900053381, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.8090169943749475, 0.5877852522924731]]], [11, [[1.0, 0], [-0.5691705385192177, -3.267421750873576]]]], 'bad_primes': [3, 5, 11], 'central_character': '495.136', 'coefficient_field': 'CDF', 'conductor': 495, 'conductor_radical': 165, 'conjugate': '1271487330882705828780730763681', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0826760640014592, -0.786610204550514], [0.6180339887498949, 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103}, 'z3': {'__RealLiteral__': 0, 'data': '4.15840056705695328135033777950', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.952594900053381, 'bad_primes': [3, 5, 11], 'central_character': '11.4', 'conductor': 495, 'conductor_radical': 165, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/495/2/n/c/136/2'], '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': '2-495-11.4-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': '2-495-11.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9881134022115994, 'root_angle': 0.11876759347254691, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.21078882039751293094064844941', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2802507775154766514729598422899', 'Lhash_array': ['2802507775154766514729598422899'], 'label': '2-495-11.4-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/495/2/n/c/136/2'}