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'13.41472960446207745105320264047513', '13.41489017695208431294110186176289', '13.55106033424159937871462411123666'], 'prelabel': '8-140e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.0573105637881075, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e4-0', 'trace_hash': 2140790132309824549, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.70187967642289420603536752132', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.15059284060156860198596146756', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.25357071367651651651678217180', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 1.5617825668230216, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 384160000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, 6, 0, -2, 0, 3, 0, 15, 0, 3, 0, 0, 0, -12, 0, -9, 0, -1, 0, 18, 0, 12, 0, -7, 0, 18, 0, -2, 0, 1, 0, 18, 0, -6, 0, -27, 0, 0, 0, -30, 0, 0, 0, -30, 0, 15, 0, 7, 0, -54, 0, 3, 0, -6, 0, -6, 0, 1, 0, 12, 0, 45, 0, 0, 0, 18, 0, 72, 0, 12, 0, 15, 0, -42, 0, 9, 0, 7, 0, 9, 0, 0, 0, 18, 0, -12, 0, -14, 0, 0, 0, 6, 0, 2, 0, 0, 0, 45, 0], 'euler11': [1, -3, -1, 36, -120, 396, -121, -3993, 14641], 'euler13': [1, 0, -8, 0, 126, 0, -1352, 0, 28561], 'euler17': [1, 9, 63, 324, 1466, 5508, 18207, 44217, 83521], 'euler19': [1, 1, -23, -14, 196, -266, -8303, 6859, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -12, 87, -468, 2096, -10764, 46023, -146004, 279841], 'euler29': [1, 2, 89, 146, 3676, 4234, 74849, 48778, 707281], 'euler3': [1, -6, 21, -54, 108, -162, 189, -162, 81], 'euler31': [1, -1, -47, 14, 1312, 434, -45167, -29791, 923521], 'euler37': [1, 27, 373, 3510, 24522, 129870, 510637, 1367631, 1874161], 'euler41': [1, 30, 473, 4950, 37188, 202950, 795113, 2067630, 2825761], 'euler43': [1, 0, -125, 0, 7248, 0, -231125, 0, 3418801], 'euler47': [1, -15, 183, -1620, 12980, -76140, 404247, -1557345, 4879681], 'euler5': [1, 2, 11, 10, 25, 0, 0, 0, 0], 'euler53': [1, -3, 67, -192, 1446, -10176, 188203, -446631, 7890481], 'euler59': [1, -1, -103, 14, 7276, 826, -358543, -205379, 12117361], 'euler61': [1, -12, 43, 252, -2304, 15372, 160003, -2723772, 13845841], 'euler67': [1, -18, 193, -1530, 9972, -102510, 866377, -5413734, 20151121], 'euler7': [1, -3, 2, -21, 49, 0, 0, 0, 0], 'euler71': [1, -12, 224, -1980, 24030, -140580, 1129184, -4294932, 25411681], 'euler73': [1, -15, 235, -2400, 25746, -175200, 1252315, -5835255, 28398241], 'euler79': [1, -7, -107, 14, 14224, 1106, -667787, -3451273, 38950081], 'euler83': [1, 0, -245, 0, 28656, 0, -1687805, 0, 47458321], 'euler89': [1, 14, -31, 686, 26164, 61054, -245551, 9869566, 62742241], 'euler97': [1, 0, -292, 0, 40134, 0, -2747428, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -6, 21, -54, 108, -162, 189, -162, 81], [1, 2, 11, 10, 25, 0, 0, 0, 0], [1, -3, 2, -21, 49, 0, 0, 0, 0], [1, -3, -1, 36, -120, 396, -121, -3993, 14641], [1, 0, -8, 0, 126, 0, -1352, 0, 28561], [1, 9, 63, 324, 1466, 5508, 18207, 44217, 83521], [1, 1, -23, -14, 196, -266, -8303, 6859, 130321], [1, -12, 87, -468, 2096, -10764, 46023, -146004, 279841], [1, 2, 89, 146, 3676, 4234, 74849, 48778, 707281], [1, -1, -47, 14, 1312, 434, -45167, -29791, 923521], [1, 27, 373, 3510, 24522, 129870, 510637, 1367631, 1874161], [1, 30, 473, 4950, 37188, 202950, 795113, 2067630, 2825761], [1, 0, -125, 0, 7248, 0, -231125, 0, 3418801], [1, -15, 183, -1620, 12980, -76140, 404247, -1557345, 4879681], [1, -3, 67, -192, 1446, -10176, 188203, -446631, 7890481], [1, -1, -103, 14, 7276, 826, -358543, -205379, 12117361], [1, -12, 43, 252, -2304, 15372, 160003, -2723772, 13845841], [1, -18, 193, -1530, 9972, -102510, 866377, -5413734, 20151121], [1, -12, 224, -1980, 24030, -140580, 1129184, -4294932, 25411681], [1, -15, 235, -2400, 25746, -175200, 1252315, -5835255, 28398241], [1, -7, -107, 14, 14224, 1106, -667787, -3451273, 38950081], [1, 0, -245, 0, 28656, 0, -1687805, 0, 47458321], [1, 14, -31, 686, 26164, 61054, -245551, 9869566, 62742241], [1, 0, -292, 0, 40134, 0, -2747428, 0, 88529281]], 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/140/2/q/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': '8-140e4-1.1-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': '8-140e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.0573105637881075, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2140790132309824549, 'z1': {'__RealLiteral__': 0, 'data': '1.70187967642289420603536752132', 'prec': 103}}
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{'Lhash': '2157388793333706673986657317396,2726200305235111316122256085012,2856740267848795463285298499511,3713897836434516655242622423440', 'Lhash_array': ['2157388793333706673986657317396', '2726200305235111316122256085012', '2856740267848795463285298499511', '3713897836434516655242622423440'], 'label': '8-140e4-1.1-c1e4-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/140/2/q/b'}