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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 67153.79168657961, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 16518176833536, 'conductor_radical': 42, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0], 'euler11': [1, 0, -15, 0, 104, 0, -1815, 0, 14641], 'euler13': [1, 16, 148, 880, 3766, 11440, 25012, 35152, 28561], 'euler17': [1, -2, -31, -2, 868, -34, -8959, -9826, 83521], 'euler19': [1, 0, 25, 0, 264, 0, 9025, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -39, 0, 992, 0, -20631, 0, 279841], 'euler29': [1, -16, 212, -1648, 10870, -47792, 178292, -390224, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -55, 0, 2064, 0, -52855, 0, 923521], 'euler37': [1, -10, 1, -250, 4732, -9250, 1369, -506530, 1874161], 'euler41': [1, 32, 548, 5984, 45670, 245344, 921188, 2205472, 2825761], 'euler43': [1, 0, -52, 0, 4374, 0, -96148, 0, 3418801], 'euler47': [1, 0, -87, 0, 5360, 0, -192183, 0, 4879681], 'euler5': [1, 6, 17, 54, 156, 270, 425, 750, 625], 'euler53': [1, -14, 41, -686, 10828, -36358, 115169, -2084278, 7890481], 'euler59': [1, 0, -111, 0, 8840, 0, -386391, 0, 12117361], 'euler61': [1, -10, -47, -250, 11788, -15250, -174887, -2269810, 13845841], 'euler67': [1, 0, -127, 0, 11640, 0, -570103, 0, 20151121], 'euler7': [1, 0, -14, 0, 49, 0, 0, 0, 0], 'euler71': [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], 'euler73': [1, -18, 97, -1458, 22548, -106434, 516913, -7002306, 28398241], 'euler79': [1, 0, -151, 0, 16560, 0, -942391, 0, 38950081], 'euler83': [1, 0, 108, 0, 16694, 0, 744012, 0, 47458321], 'euler89': [1, 18, 65, 1458, 30324, 129762, 514865, 12689442, 62742241], 'euler97': [1, 32, 772, 11360, 135046, 1101920, 7263748, 29205536, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 17, 54, 156, 270, 425, 750, 625], [1, 0, -14, 0, 49, 0, 0, 0, 0], [1, 0, -15, 0, 104, 0, -1815, 0, 14641], [1, 16, 148, 880, 3766, 11440, 25012, 35152, 28561], [1, -2, -31, -2, 868, -34, -8959, -9826, 83521], [1, 0, 25, 0, 264, 0, 9025, 0, 130321], [1, 0, -39, 0, 992, 0, -20631, 0, 279841], [1, -16, 212, -1648, 10870, -47792, 178292, -390224, 707281], [1, 0, -55, 0, 2064, 0, -52855, 0, 923521], [1, -10, 1, -250, 4732, -9250, 1369, -506530, 1874161], [1, 32, 548, 5984, 45670, 245344, 921188, 2205472, 2825761], [1, 0, -52, 0, 4374, 0, -96148, 0, 3418801], [1, 0, -87, 0, 5360, 0, -192183, 0, 4879681], [1, -14, 41, -686, 10828, -36358, 115169, -2084278, 7890481], [1, 0, -111, 0, 8840, 0, -386391, 0, 12117361], [1, -10, -47, -250, 11788, -15250, -174887, -2269810, 13845841], [1, 0, -127, 0, 11640, 0, -570103, 0, 20151121], [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], [1, -18, 97, -1458, 22548, -106434, 516913, -7002306, 28398241], [1, 0, -151, 0, 16560, 0, -942391, 0, 38950081], [1, 0, 108, 0, 16694, 0, 744012, 0, 47458321], [1, 18, 65, 1458, 30324, 129762, 514865, 12689442, 62742241], [1, 32, 772, 11360, 135046, 1101920, 7263748, 29205536, 88529281]], 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2016/2/s/o'], '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': '8-2016e4-1.1-c1e4-0-9', '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': 0, 'prelabel': '8-2016e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.0122114908726, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 68150210157739539, 'z1': {'__RealLiteral__': 0, 'data': '0.35929399108056446612544159993', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '455459243451673646368274767302,585691287037351175067128456273,1050765461538043301714002830691,2161158218343882601668512323281', 'Lhash_array': ['455459243451673646368274767302', '585691287037351175067128456273', '1050765461538043301714002830691', '2161158218343882601668512323281'], 'label': '8-2016e4-1.1-c1e4-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2016/2/s/o'}