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-
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{'algebraic': True, 'analytic_conductor': 26643.321089992074, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 6553600000000, 'conductor_radical': 10, 'degree': 8, 'dirichlet_coefficients': [1, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, -20, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, -10, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -20, 0, 342, 0, -2420, 0, 14641], 'euler13': [1, 0, 28, 0, 534, 0, 4732, 0, 28561], 'euler17': [1, 0, -44, 0, 1062, 0, -12716, 0, 83521], 'euler19': [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -20, 0, 186, 0, -10580, 0, 279841], 'euler29': [1, 0, -116, 0, 5046, 0, -97556, 0, 707281], 'euler3': [1, 4, 12, 28, 58, 84, 108, 108, 81], 'euler31': [1, -24, 316, -2808, 18246, -87048, 303676, -714984, 923521], 'euler37': [1, -24, 364, -3528, 25494, -130536, 498316, -1215672, 1874161], 'euler41': [1, -24, 356, -3528, 26406, -144648, 598436, -1654104, 2825761], 'euler43': [1, 20, 268, 2540, 19354, 109220, 495532, 1590140, 3418801], 'euler47': [1, 0, -116, 0, 6810, 0, -256244, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -4, 0, 5622, 0, -11236, 0, 7890481], 'euler59': [1, 0, -164, 0, 13686, 0, -570884, 0, 12117361], 'euler61': [1, 0, -76, 0, 1974, 0, -282796, 0, 13845841], 'euler67': [1, -20, 364, -3980, 39802, -266660, 1633996, -6015260, 20151121], 'euler7': [1, 0, -4, 0, -6, 0, -196, 0, 2401], 'euler71': [1, 24, 284, 3384, 35430, 240264, 1431644, 8589864, 25411681], 'euler73': [1, 0, -44, 0, 4230, 0, -234476, 0, 28398241], 'euler79': [1, 48, 1180, 18288, 194694, 1444752, 7364380, 23665872, 38950081], 'euler83': [1, 12, 380, 3060, 49338, 253980, 2617820, 6861444, 47458321], 'euler89': [1, -24, 476, -6120, 69030, -544680, 3770396, -16919256, 62742241], 'euler97': [1, 0, -140, 0, 16806, 0, -1317260, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 12, 28, 58, 84, 108, 108, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -4, 0, -6, 0, -196, 0, 2401], [1, 0, -20, 0, 342, 0, -2420, 0, 14641], [1, 0, 28, 0, 534, 0, 4732, 0, 28561], [1, 0, -44, 0, 1062, 0, -12716, 0, 83521], [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], [1, 0, -20, 0, 186, 0, -10580, 0, 279841], [1, 0, -116, 0, 5046, 0, -97556, 0, 707281], [1, -24, 316, -2808, 18246, -87048, 303676, -714984, 923521], [1, -24, 364, -3528, 25494, -130536, 498316, -1215672, 1874161], [1, -24, 356, -3528, 26406, -144648, 598436, -1654104, 2825761], [1, 20, 268, 2540, 19354, 109220, 495532, 1590140, 3418801], [1, 0, -116, 0, 6810, 0, -256244, 0, 4879681], [1, 0, -4, 0, 5622, 0, -11236, 0, 7890481], [1, 0, -164, 0, 13686, 0, -570884, 0, 12117361], [1, 0, -76, 0, 1974, 0, -282796, 0, 13845841], [1, -20, 364, -3980, 39802, -266660, 1633996, -6015260, 20151121], [1, 24, 284, 3384, 35430, 240264, 1431644, 8589864, 25411681], [1, 0, -44, 0, 4230, 0, -234476, 0, 28398241], [1, 48, 1180, 18288, 194694, 1444752, 7364380, 23665872, 38950081], [1, 12, 380, 3060, 49338, 253980, 2617820, 6861444, 47458321], [1, -24, 476, -6120, 69030, -544680, 3770396, -16919256, 62742241], [1, 0, -140, 0, 16806, 0, -1317260, 0, 88529281]], 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1600/2/f/e'], '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': '8-40e8-1.1-c1e4-0-10', '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': '8-40e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.574362086219703, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1875773091146016397, 'z1': {'__RealLiteral__': 0, 'data': '0.28313718598906060654198519889', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '358919023765964501819055505196,921016137575761360345905906763,1622729087402610267748560843510,2102361802975363098468913475456', 'Lhash_array': ['358919023765964501819055505196', '921016137575761360345905906763', '1622729087402610267748560843510', '2102361802975363098468913475456'], 'label': '8-40e8-1.1-c1e4-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1600/2/f/e'}