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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, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 16, 0, 0, 0, 0, 0, -48, 0, 6, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 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, 12, 92, 612, 3498, 14076, 48668, 146004, 279841], 'euler29': [1, 0, -116, 0, 5046, 0, -97556, 0, 707281], 'euler3': [1, 0, -4, 0, 10, 0, -36, 0, 81], 'euler31': [1, 24, 316, 2808, 18246, 87048, 303676, 714984, 923521], 'euler37': [1, 0, -76, 0, 4182, 0, -104044, 0, 1874161], 'euler41': [1, -24, 356, -3528, 26406, -144648, 598436, -1654104, 2825761], 'euler43': [1, 0, -68, 0, 2154, 0, -125732, 0, 3418801], 'euler47': [1, -12, 188, -1476, 13578, -69372, 415292, -1245876, 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, 0, -164, 0, 13002, 0, -736196, 0, 20151121], 'euler7': [1, 12, 76, 324, 1002, 2268, 3724, 4116, 2401], 'euler71': [1, -24, 284, -3384, 35430, -240264, 1431644, -8589864, 25411681], 'euler73': [1, -16, 172, -2032, 22918, -148336, 916588, -6224272, 28398241], 'euler79': [1, 48, 1180, 18288, 194694, 1444752, 7364380, 23665872, 38950081], 'euler83': [1, 0, -308, 0, 37386, 0, -2121812, 0, 47458321], 'euler89': [1, 24, 476, 6120, 69030, 544680, 3770396, 16919256, 62742241], 'euler97': [1, 16, 268, 3184, 41638, 308848, 2521612, 14602768, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -4, 0, 10, 0, -36, 0, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 12, 76, 324, 1002, 2268, 3724, 4116, 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, 12, 92, 612, 3498, 14076, 48668, 146004, 279841], [1, 0, -116, 0, 5046, 0, -97556, 0, 707281], [1, 24, 316, 2808, 18246, 87048, 303676, 714984, 923521], [1, 0, -76, 0, 4182, 0, -104044, 0, 1874161], [1, -24, 356, -3528, 26406, -144648, 598436, -1654104, 2825761], [1, 0, -68, 0, 2154, 0, -125732, 0, 3418801], [1, -12, 188, -1476, 13578, -69372, 415292, -1245876, 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, 0, -164, 0, 13002, 0, -736196, 0, 20151121], [1, -24, 284, -3384, 35430, -240264, 1431644, -8589864, 25411681], [1, -16, 172, -2032, 22918, -148336, 916588, -6224272, 28398241], [1, 48, 1180, 18288, 194694, 1444752, 7364380, 23665872, 38950081], [1, 0, -308, 0, 37386, 0, -2121812, 0, 47458321], [1, 24, 476, 6120, 69030, 544680, 3770396, 16919256, 62742241], [1, 16, 268, 3184, 41638, 308848, 2521612, 14602768, 88529281]], 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1600/2/d/b'], '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-c1e4-0-13', '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': 1811643225418003068, 'z1': {'__RealLiteral__': 0, 'data': '0.34267446449125540644934033319', 'prec': 103}}
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{'Lhash': '434391490595226998677792639037,524466053508327334760399467488,1377989169269627600868506913516,2033907659722748706682956675905', 'Lhash_array': ['434391490595226998677792639037', '524466053508327334760399467488', '1377989169269627600868506913516', '2033907659722748706682956675905'], 'label': '8-40e8-1.1-c1e4-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1600/2/d/b'}