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{'Lhash': '1400271584836034403766585811673,1705023682627475920929342508774,1735130586131454990693470628656,1748143635796907856134285128251', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 29327719.396729242, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '9216.1', 'coefficient_field': '1.1.1.1', 'conductor': 7213895789838336, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1], [1, 0, 4, 0, 6, 0, 100, 0, 625], [1, 0, 16, 0, 162, 0, 784, 0, 2401], [1, -8, 44, -200, 790, -2200, 5324, -10648, 14641], [1, 0, 16, 0, 402, 0, 2704, 0, 28561], [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], [1, 16, 148, 976, 4918, 18544, 53428, 109744, 130321], [1, 0, 76, 0, 2502, 0, 40204, 0, 279841], [1, 0, 4, 0, 1254, 0, 3364, 0, 707281], [1, 0, 16, 0, 1986, 0, 15376, 0, 923521], [1, 0, 64, 0, 2034, 0, 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'7.68239455922127865861716382784449'], 'prelabel': '8-96e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.578469006927287, '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': 1871386836838205202, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10461950996901492739779869541', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.34502652570077379521728212303', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.36877668485232437639124147929', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 29327719.396729242, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 7213895789838336, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0], 'euler11': [1, -8, 44, -200, 790, -2200, 5324, -10648, 14641], 'euler13': [1, 0, 16, 0, 402, 0, 2704, 0, 28561], 'euler17': [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], 'euler19': [1, 16, 148, 976, 4918, 18544, 53428, 109744, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 76, 0, 2502, 0, 40204, 0, 279841], 'euler29': [1, 0, 4, 0, 1254, 0, 3364, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 16, 0, 1986, 0, 15376, 0, 923521], 'euler37': [1, 0, 64, 0, 2034, 0, 87616, 0, 1874161], 'euler41': [1, 32, 524, 5600, 42310, 229600, 880844, 2205472, 2825761], 'euler43': [1, 0, 148, 0, 9174, 0, 273652, 0, 3418801], 'euler47': [1, 0, 172, 0, 11814, 0, 379948, 0, 4879681], 'euler5': [1, 0, 4, 0, 6, 0, 100, 0, 625], 'euler53': [1, 0, 100, 0, 6918, 0, 280900, 0, 7890481], 'euler59': [1, 0, -148, 0, 12438, 0, -515188, 0, 12117361], 'euler61': [1, 0, 160, 0, 12114, 0, 595360, 0, 13845841], 'euler67': [1, 32, 556, 6944, 65782, 465248, 2495884, 9624416, 20151121], 'euler7': [1, 0, 16, 0, 162, 0, 784, 0, 2401], 'euler71': [1, 0, -20, 0, -2106, 0, -100820, 0, 25411681], 'euler73': [1, -16, 388, -3760, 46246, -274480, 2067652, -6224272, 28398241], 'euler79': [1, 0, 304, 0, 35586, 0, 1897264, 0, 38950081], 'euler83': [1, -8, 332, -1928, 41398, -160024, 2287148, -4574296, 47458321], 'euler89': [1, 8, 284, 1784, 36646, 158776, 2249564, 5639752, 62742241], 'euler97': [1, -32, 676, -9824, 112582, -952928, 6360484, -29205536, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 4, 0, 6, 0, 100, 0, 625], [1, 0, 16, 0, 162, 0, 784, 0, 2401], [1, -8, 44, -200, 790, -2200, 5324, -10648, 14641], [1, 0, 16, 0, 402, 0, 2704, 0, 28561], [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], [1, 16, 148, 976, 4918, 18544, 53428, 109744, 130321], [1, 0, 76, 0, 2502, 0, 40204, 0, 279841], [1, 0, 4, 0, 1254, 0, 3364, 0, 707281], [1, 0, 16, 0, 1986, 0, 15376, 0, 923521], [1, 0, 64, 0, 2034, 0, 87616, 0, 1874161], [1, 32, 524, 5600, 42310, 229600, 880844, 2205472, 2825761], [1, 0, 148, 0, 9174, 0, 273652, 0, 3418801], [1, 0, 172, 0, 11814, 0, 379948, 0, 4879681], [1, 0, 100, 0, 6918, 0, 280900, 0, 7890481], [1, 0, -148, 0, 12438, 0, -515188, 0, 12117361], [1, 0, 160, 0, 12114, 0, 595360, 0, 13845841], [1, 32, 556, 6944, 65782, 465248, 2495884, 9624416, 20151121], [1, 0, -20, 0, -2106, 0, -100820, 0, 25411681], [1, -16, 388, -3760, 46246, -274480, 2067652, -6224272, 28398241], [1, 0, 304, 0, 35586, 0, 1897264, 0, 38950081], [1, -8, 332, -1928, 41398, -160024, 2287148, -4574296, 47458321], [1, 8, 284, 1784, 36646, 158776, 2249564, 5639752, 62742241], [1, -32, 676, -9824, 112582, -952928, 6360484, -29205536, 88529281]], 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9216/2/a/bi'], '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': '8-96e8-1.1-c1e4-0-19', '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': 4, 'prelabel': '8-96e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.578469006927287, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1871386836838205202, 'z1': {'__RealLiteral__': 0, 'data': '1.10461950996901492739779869541', 'prec': 103}}
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{'Lhash': '1400271584836034403766585811673,1705023682627475920929342508774,1735130586131454990693470628656,1748143635796907856134285128251', 'Lhash_array': ['1400271584836034403766585811673', '1705023682627475920929342508774', '1735130586131454990693470628656', '1748143635796907856134285128251'], 'label': '8-96e8-1.1-c1e4-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9216/2/a/bi'}