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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1832982.4622955776, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 450868486864896, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0], 'euler11': [1, 0, 20, 0, 342, 0, 2420, 0, 14641], 'euler13': [1, 0, 52, 0, 1014, 0, 8788, 0, 28561], 'euler17': [1, 0, 68, 0, 1734, 0, 19652, 0, 83521], 'euler19': [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], 'euler29': [1, 8, 32, 296, 2674, 8584, 26912, 195112, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 0, 0, -478, 0, 0, 0, 923521], 'euler37': [1, 0, 148, 0, 8214, 0, 202612, 0, 1874161], 'euler41': [1, 0, 164, 0, 10086, 0, 275684, 0, 2825761], 'euler43': [1, 0, 172, 0, 11094, 0, 318028, 0, 3418801], 'euler47': [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], 'euler5': [1, 8, 32, 104, 274, 520, 800, 1000, 625], 'euler53': [1, 40, 800, 10120, 88018, 536360, 2247200, 5955080, 7890481], 'euler59': [1, 0, -20, 0, 7062, 0, -69620, 0, 12117361], 'euler61': [1, 0, 244, 0, 22326, 0, 907924, 0, 13845841], 'euler67': [1, 0, 268, 0, 26934, 0, 1203052, 0, 20151121], 'euler7': [1, 0, 0, 0, 2, 0, 0, 0, 2401], 'euler71': [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], 'euler73': [1, 0, 100, 0, 13158, 0, 532900, 0, 28398241], 'euler79': [1, 0, 0, 0, -9118, 0, 0, 0, 38950081], 'euler83': [1, 0, -268, 0, 31734, 0, -1846252, 0, 47458321], 'euler89': [1, 0, 356, 0, 47526, 0, 2819876, 0, 62742241], 'euler97': [1, 8, 412, 2360, 61126, 228920, 3876508, 7301384, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 32, 104, 274, 520, 800, 1000, 625], [1, 0, 0, 0, 2, 0, 0, 0, 2401], [1, 0, 20, 0, 342, 0, 2420, 0, 14641], [1, 0, 52, 0, 1014, 0, 8788, 0, 28561], [1, 0, 68, 0, 1734, 0, 19652, 0, 83521], [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], [1, 8, 32, 296, 2674, 8584, 26912, 195112, 707281], [1, 0, 0, 0, -478, 0, 0, 0, 923521], [1, 0, 148, 0, 8214, 0, 202612, 0, 1874161], [1, 0, 164, 0, 10086, 0, 275684, 0, 2825761], [1, 0, 172, 0, 11094, 0, 318028, 0, 3418801], [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], [1, 40, 800, 10120, 88018, 536360, 2247200, 5955080, 7890481], [1, 0, -20, 0, 7062, 0, -69620, 0, 12117361], [1, 0, 244, 0, 22326, 0, 907924, 0, 13845841], [1, 0, 268, 0, 26934, 0, 1203052, 0, 20151121], [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], [1, 0, 100, 0, 13158, 0, 532900, 0, 28398241], [1, 0, 0, 0, -9118, 0, 0, 0, 38950081], [1, 0, -268, 0, 31734, 0, -1846252, 0, 47458321], [1, 0, 356, 0, 47526, 0, 2819876, 0, 62742241], [1, 8, 412, 2360, 61126, 228920, 3876508, 7301384, 88529281]], 'index': 34, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4608/2/a/s'], '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': '8-4608e4-1.1-c1e4-0-34', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 4, 'prelabel': '8-4608e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.065893606996913, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 77871843849544254, 'z1': {'__RealLiteral__': 0, 'data': '0.987705560611143327129337532796', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1252065546757475654274747954450,1588776420968166593402422579884,1820332646312605762635195280808,1934989649360490676543167859719', 'Lhash_array': ['1252065546757475654274747954450', '1588776420968166593402422579884', '1820332646312605762635195280808', '1934989649360490676543167859719'], 'label': '8-4608e4-1.1-c1e4-0-34', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4608/2/a/s'}