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{'Lhash': '971162005592379365665010864847,1393543940913275659857970879657,2093623220808474977433264293141,2803607346537476533916031260313', 'a10': -2, 'a2': -1, 'a3': 0, 'a4': 1, 'a5': 2, 'a6': 0, 'a7': -2, 'a8': 2, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 109.3776330446534, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1, -2, 3, -2, 1]]], 'bad_primes': [3, 5], 'central_character': '405.1', 'coefficient_field': '1.1.1.1', 'conductor': 26904200625, 'conductor_radical': 15, 'degree': 8, 'euler_factors': [[1, 1, 0, -3, -5, -6, 0, 8, 16], [1], [1, -2, 3, -2, 1], [1, 2, 2, -24, -73, -168, 98, 686, 2401], [1, -2, -6, 24, -65, 264, -726, -2662, 14641], [1, 6, 14, -24, -153, -312, 2366, 13182, 28561], [1, -8, 66, -336, 1747, -5712, 19074, -39304, 83521], [1, 0, 50, 0, 1347, 0, 18050, 0, 130321], [1, 6, -19, 54, 1668, 1242, -10051, 73002, 279841], [1, -10, 30, -120, 1159, -3480, 25230, -243890, 707281], [1, 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'0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 828301883840248079, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.76611173884785771570507339475', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.09931233469410282585184932909', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.65157750915870385025065854640', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 109.3776330446534, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 26904200625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, -1, 0, 1, 2, 0, -2, 2, 0, -2, 2, 0, -6, 2, 0, 0, 8, 0, 0, 2, 0, -2, -6, 0, 1, 6, 0, -2, 10, 0, 4, 4, 0, -8, -4, 0, 8, 0, 0, 4, -2, 0, 6, 2, 0, 6, -4, 0, 2, -1, 0, -6, 8, 0, 4, -4, 0, -10, -10, 0, -6, -4, 0, 1, -12, 0, 16, 8, 0, 4, -44, 0, 36, -8, 0, 0, -4, 0, 16, 0, 0, 2, 6, 0, 16, -6, 0, 4, 12, 0, 12, -6, 0, 4, 0, 0, -16, -2, 0, 1], 'euler11': [1, -2, -6, 24, -65, 264, -726, -2662, 14641], 'euler13': [1, 6, 14, -24, -153, -312, 2366, 13182, 28561], 'euler17': [1, -8, 66, -336, 1747, -5712, 19074, -39304, 83521], 'euler19': [1, 0, 50, 0, 1347, 0, 18050, 0, 130321], 'euler2': [1, 1, 0, -3, -5, -6, 0, 8, 16], 'euler23': [1, 6, -19, 54, 1668, 1242, -10051, 73002, 279841], 'euler29': [1, -10, 30, -120, 1159, -3480, 25230, -243890, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -4, -37, 36, 1352, 1116, -35557, -119164, 923521], 'euler37': [1, -8, 172, -920, 10006, -34040, 235468, -405224, 1874161], 'euler41': [1, 2, -66, -24, 3055, -984, -110946, 137842, 2825761], 'euler43': [1, -6, -46, 24, 3327, 1032, -85054, -477042, 3418801], 'euler47': [1, 4, -30, -192, -845, -9024, -66270, 415292, 4879681], 'euler5': [1, -2, 3, -2, 1, 0, 0, 0, 0], 'euler53': [1, -8, 210, -1200, 16723, -63600, 589890, -1191016, 7890481], 'euler59': [1, 10, -30, 120, 7519, 7080, -104430, 2053790, 12117361], 'euler61': [1, 6, -43, -258, 324, -15738, -160003, 1361886, 13845841], 'euler67': [1, -16, 110, -192, -325, -12864, 493790, -4812208, 20151121], 'euler7': [1, 2, 2, -24, -73, -168, 98, 686, 2401], 'euler71': [1, 44, 984, 14124, 141310, 1002804, 4960344, 15748084, 25411681], 'euler73': [1, -36, 752, -10332, 103758, -754236, 4007408, -14004612, 28398241], 'euler79': [1, -16, 47, -816, 17216, -64464, 293327, -7888624, 38950081], 'euler83': [1, -6, -139, -54, 20748, -4482, -957571, -3430722, 47458321], 'euler89': [1, -12, 176, -1908, 27150, -169812, 1394096, -8459628, 62742241], 'euler97': [1, 16, -2, 1024, 32323, 99328, -18818, 14602768, 88529281], 'euler_factors': [[1, 1, 0, -3, -5, -6, 0, 8, 16], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 3, -2, 1, 0, 0, 0, 0], [1, 2, 2, -24, -73, -168, 98, 686, 2401], [1, -2, -6, 24, -65, 264, -726, -2662, 14641], [1, 6, 14, -24, -153, -312, 2366, 13182, 28561], [1, -8, 66, -336, 1747, -5712, 19074, -39304, 83521], [1, 0, 50, 0, 1347, 0, 18050, 0, 130321], [1, 6, -19, 54, 1668, 1242, -10051, 73002, 279841], [1, -10, 30, -120, 1159, -3480, 25230, -243890, 707281], [1, -4, -37, 36, 1352, 1116, -35557, -119164, 923521], [1, -8, 172, -920, 10006, -34040, 235468, -405224, 1874161], [1, 2, -66, -24, 3055, -984, -110946, 137842, 2825761], [1, -6, -46, 24, 3327, 1032, -85054, -477042, 3418801], [1, 4, -30, -192, -845, -9024, -66270, 415292, 4879681], [1, -8, 210, -1200, 16723, -63600, 589890, -1191016, 7890481], [1, 10, -30, 120, 7519, 7080, -104430, 2053790, 12117361], [1, 6, -43, -258, 324, -15738, -160003, 1361886, 13845841], [1, -16, 110, -192, -325, -12864, 493790, -4812208, 20151121], [1, 44, 984, 14124, 141310, 1002804, 4960344, 15748084, 25411681], [1, -36, 752, -10332, 103758, -754236, 4007408, -14004612, 28398241], [1, -16, 47, -816, 17216, -64464, 293327, -7888624, 38950081], [1, -6, -139, -54, 20748, -4482, -957571, -3430722, 47458321], [1, -12, 176, -1908, 27150, -169812, 1394096, -8459628, 62742241], [1, 16, -2, 1024, 32323, 99328, -18818, 14602768, 88529281]], 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/e/j'], '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': '8-405e4-1.1-c1e4-0-8', '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': '8-405e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 828301883840248079, 'z1': {'__RealLiteral__': 0, 'data': '0.76611173884785771570507339475', 'prec': 103}}
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{'Lhash': '971162005592379365665010864847,1393543940913275659857970879657,2093623220808474977433264293141,2803607346537476533916031260313', 'Lhash_array': ['971162005592379365665010864847', '1393543940913275659857970879657', '2093623220808474977433264293141', '2803607346537476533916031260313'], 'label': '8-405e4-1.1-c1e4-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/e/j'}