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{'Lhash': '1129337974128645241937154206262,1279745927963859618036510474050,2370746999221473108984197917436,2574025593057195798423113078015', 'a10': 0, 'a2': 0, 'a3': -1, 'a4': 0, 'a5': 3, 'a6': 0, 'a7': 7, 'a8': 0, 'a9': -2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 223.09501933493755, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [11, [1]]], 'bad_primes': [2, 11], 'central_character': '484.1', 'coefficient_field': '1.1.1.1', 'conductor': 54875873536, 'conductor_radical': 22, 'degree': 8, 'euler_factors': [[1], [1, 1, 3, 5, 16, 15, 27, 27, 81], [1, -3, -1, 3, 16, 15, -25, -375, 625], [1, -7, 27, -95, 296, -665, 1323, -2401, 2401], [1], [1, -1, 3, 25, 56, 325, 507, -2197, 28561], [1, -1, -1, 53, 104, 901, -289, -4913, 83521], [1, 7, 15, 107, 824, 2033, 5415, 48013, 130321], [1, -8, 76, -424, 2694, -9752, 40204, -97336, 279841], [1, -5, 31, -115, 96, -3335, 26071, -121945, 707281], [1, 5, 9, 205, 1916, 6355, 8649, 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'10.82236048928152903382889828390521', '11.11871116937801058698299027483853', '11.36889184451215961412180185359857'], 'prelabel': '8-22e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.9658991474208367, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 18203188855167221, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.890890576571586696560683311209', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.00954153118647406358483651940', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.87018962385584864665881362706', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 223.09501933493755, 'bad_primes': [2, 11], 'central_character': '1.1', 'conductor': 54875873536, 'conductor_radical': 22, 'degree': 8, 'dirichlet_coefficients': [1, 0, -1, 0, 3, 0, 7, 0, -2, 0, 0, 0, 1, 0, -3, 0, 1, 0, -7, 0, -7, 0, 8, 0, 10, 0, 0, 0, 5, 0, -5, 0, 0, 0, 21, 0, -9, 0, -1, 0, 5, 0, 0, 0, -6, 0, -5, 0, 22, 0, -1, 0, 11, 0, 0, 0, 7, 0, 17, 0, 1, 0, -14, 0, 3, 0, 16, 0, -8, 0, 5, 0, -19, 0, -10, 0, 0, 0, -3, 0, -5, 0, 31, 0, 3, 0, -5, 0, -16, 0, 7, 0, 5, 0, -21, 0, 27, 0, 0, 0], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, -1, 3, 25, 56, 325, 507, -2197, 28561], 'euler17': [1, -1, -1, 53, 104, 901, -289, -4913, 83521], 'euler19': [1, 7, 15, 107, 824, 2033, 5415, 48013, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -8, 76, -424, 2694, -9752, 40204, -97336, 279841], 'euler29': [1, -5, 31, -115, 96, -3335, 26071, -121945, 707281], 'euler3': [1, 1, 3, 5, 16, 15, 27, 27, 81], 'euler31': [1, 5, 9, 205, 1916, 6355, 8649, 148955, 923521], 'euler37': [1, 9, -1, -57, 784, -2109, -1369, 455877, 1874161], 'euler41': [1, -5, 19, 65, -624, 2665, 31939, -344605, 2825761], 'euler43': [1, 0, 172, 0, 11094, 0, 318028, 0, 3418801], 'euler47': [1, 5, -37, -235, 824, -11045, -81733, 519115, 4879681], 'euler5': [1, -3, -1, 3, 16, 15, -25, -375, 625], 'euler53': [1, -11, 43, -565, 6936, -29945, 120787, -1637647, 7890481], 'euler59': [1, -17, 55, 443, -4776, 26137, 191455, -3491443, 12117361], 'euler61': [1, -1, -45, 361, 2744, 22021, -167445, -226981, 13845841], 'euler67': [1, -16, 204, -2192, 22454, -146864, 915756, -4812208, 20151121], 'euler7': [1, -7, 27, -95, 296, -665, 1323, -2401, 2401], 'euler71': [1, -5, -11, 515, -1164, 36565, -55451, -1789555, 25411681], 'euler73': [1, 19, 63, -1015, -13384, -74095, 335727, 7391323, 28398241], 'euler79': [1, 3, 65, 123, 3244, 9717, 405665, 1479117, 38950081], 'euler83': [1, -31, 553, -7355, 75636, -610465, 3809617, -17725397, 47458321], 'euler89': [1, 16, 412, 4208, 57510, 374512, 3263452, 11279504, 62742241], 'euler97': [1, -27, 227, -585, 256, -56745, 2135843, -24642171, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 3, 5, 16, 15, 27, 27, 81], [1, -3, -1, 3, 16, 15, -25, -375, 625], [1, -7, 27, -95, 296, -665, 1323, -2401, 2401], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 3, 25, 56, 325, 507, -2197, 28561], [1, -1, -1, 53, 104, 901, -289, -4913, 83521], [1, 7, 15, 107, 824, 2033, 5415, 48013, 130321], [1, -8, 76, -424, 2694, -9752, 40204, -97336, 279841], [1, -5, 31, -115, 96, -3335, 26071, -121945, 707281], [1, 5, 9, 205, 1916, 6355, 8649, 148955, 923521], [1, 9, -1, -57, 784, -2109, -1369, 455877, 1874161], [1, -5, 19, 65, -624, 2665, 31939, -344605, 2825761], [1, 0, 172, 0, 11094, 0, 318028, 0, 3418801], [1, 5, -37, -235, 824, -11045, -81733, 519115, 4879681], [1, -11, 43, -565, 6936, -29945, 120787, -1637647, 7890481], [1, -17, 55, 443, -4776, 26137, 191455, -3491443, 12117361], [1, -1, -45, 361, 2744, 22021, -167445, -226981, 13845841], [1, -16, 204, -2192, 22454, -146864, 915756, -4812208, 20151121], [1, -5, -11, 515, -1164, 36565, -55451, -1789555, 25411681], [1, 19, 63, -1015, -13384, -74095, 335727, 7391323, 28398241], [1, 3, 65, 123, 3244, 9717, 405665, 1479117, 38950081], [1, -31, 553, -7355, 75636, -610465, 3809617, -17725397, 47458321], [1, 16, 412, 4208, 57510, 374512, 3263452, 11279504, 62742241], [1, -27, 227, -585, 256, -56745, 2135843, -24642171, 88529281]], 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/484/2/e/c'], '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': '8-22e8-1.1-c1e4-0-4', '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': '8-22e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.9658991474208367, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 18203188855167221, 'z1': {'__RealLiteral__': 0, 'data': '0.890890576571586696560683311209', 'prec': 107}}
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{'Lhash': '1129337974128645241937154206262,1279745927963859618036510474050,2370746999221473108984197917436,2574025593057195798423113078015', 'Lhash_array': ['1129337974128645241937154206262', '1279745927963859618036510474050', '2370746999221473108984197917436', '2574025593057195798423113078015'], 'label': '8-22e8-1.1-c1e4-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/484/2/e/c'}