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'9.827209897010742525900501684750920', '10.34692575677492504806008442656892', '10.39774230944434407722982435869496'], 'prelabel': '8-980e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.797380810344827, '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': 1474110240440947660, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.49432236018666601283806348925', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.62792977295507278314955165138', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.18072024564609385069524372375', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 3749.839942942075, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 922368160000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, -6, 0, 2, 0, 0, 0, 15, 0, 3, 0, 0, 0, -12, 0, 9, 0, 1, 0, 0, 0, 12, 0, -7, 0, -18, 0, -2, 0, -1, 0, -18, 0, 0, 0, -27, 0, 0, 0, 30, 0, 0, 0, 30, 0, -15, 0, 0, 0, -54, 0, 3, 0, 6, 0, -6, 0, -1, 0, -12, 0, 0, 0, 0, 0, 18, 0, -72, 0, 12, 0, -15, 0, 42, 0, 0, 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, 0, 0, 0, 0, 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, 0, 0, 0, 0, 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': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/980/2/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': '8-980e4-1.1-c1e4-0-14', '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': '8-980e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.797380810344827, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1474110240440947660, 'z1': {'__RealLiteral__': 0, 'data': '0.49432236018666601283806348925', 'prec': 103}}
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{'Lhash': '626628036596862179585619418077,795995553587673822866696032786,1496740728094893332488984511760,2264363282725852911729169035767', 'Lhash_array': ['626628036596862179585619418077', '795995553587673822866696032786', '1496740728094893332488984511760', '2264363282725852911729169035767'], 'label': '8-980e4-1.1-c1e4-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/980/2/q/b'}