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{'Lhash': '422948620362097746238025412296,1396354279859747836340262366915,2128691357808697480490426988231,2257445990125954900883206804185', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1414.3383196725135, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 0, -6, 0, 9]]], 'bad_primes': [2, 3], 'central_character': '768.1', 'coefficient_field': '1.1.1.1', 'conductor': 347892350976, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1, 0, -6, 0, 9], [1, 0, 20, 0, 150, 0, 500, 0, 625], [1, 0, -4, 0, 102, 0, -196, 0, 2401], [1, 0, -44, 0, 726, 0, -5324, 0, 14641], [1, 0, -44, 0, 822, 0, -7436, 0, 28561], [1, 0, -68, 0, 1734, 0, -19652, 0, 83521], [1, 0, 52, 0, 1398, 0, 18772, 0, 130321], [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, 92, 0, 4038, 0, 88412, 0, 923521], [1, 0, 52, 0, 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'root_analytic_conductor': 2.4763906951921655, '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': 133553573280013610, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.33364763152082249397841607729', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.10152930121939473163336821913', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.67924139145711383148454219131', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 1414.3383196725135, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 347892350976, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0], 'euler11': [1, 0, -44, 0, 726, 0, -5324, 0, 14641], 'euler13': [1, 0, -44, 0, 822, 0, -7436, 0, 28561], 'euler17': [1, 0, -68, 0, 1734, 0, -19652, 0, 83521], 'euler19': [1, 0, 52, 0, 1398, 0, 18772, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], 'euler29': [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], 'euler3': [1, 0, -6, 0, 9, 0, 0, 0, 0], 'euler31': [1, 0, 92, 0, 4038, 0, 88412, 0, 923521], 'euler37': [1, 0, 52, 0, 3414, 0, 71188, 0, 1874161], 'euler41': [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], 'euler43': [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], 'euler47': [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], 'euler5': [1, 0, 20, 0, 150, 0, 500, 0, 625], 'euler53': [1, 0, 212, 0, 16854, 0, 595508, 0, 7890481], 'euler59': [1, 0, -236, 0, 20886, 0, -821516, 0, 12117361], 'euler61': [1, 0, 148, 0, 12918, 0, 550708, 0, 13845841], 'euler67': [1, 0, 244, 0, 23862, 0, 1095316, 0, 20151121], 'euler7': [1, 0, -4, 0, 102, 0, -196, 0, 2401], 'euler71': [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], 'euler73': [1, 40, 892, 12760, 129574, 931480, 4753468, 15560680, 28398241], 'euler79': [1, 0, 284, 0, 32646, 0, 1772444, 0, 38950081], 'euler83': [1, 0, -332, 0, 41334, 0, -2287148, 0, 47458321], 'euler89': [1, 0, -356, 0, 47526, 0, -2819876, 0, 62742241], 'euler97': [1, 56, 1564, 27272, 323014, 2645384, 14715676, 51109688, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -6, 0, 9, 0, 0, 0, 0], [1, 0, 20, 0, 150, 0, 500, 0, 625], [1, 0, -4, 0, 102, 0, -196, 0, 2401], [1, 0, -44, 0, 726, 0, -5324, 0, 14641], [1, 0, -44, 0, 822, 0, -7436, 0, 28561], [1, 0, -68, 0, 1734, 0, -19652, 0, 83521], [1, 0, 52, 0, 1398, 0, 18772, 0, 130321], [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, 92, 0, 4038, 0, 88412, 0, 923521], [1, 0, 52, 0, 3414, 0, 71188, 0, 1874161], [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], [1, 0, 212, 0, 16854, 0, 595508, 0, 7890481], [1, 0, -236, 0, 20886, 0, -821516, 0, 12117361], [1, 0, 148, 0, 12918, 0, 550708, 0, 13845841], [1, 0, 244, 0, 23862, 0, 1095316, 0, 20151121], [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], [1, 40, 892, 12760, 129574, 931480, 4753468, 15560680, 28398241], [1, 0, 284, 0, 32646, 0, 1772444, 0, 38950081], [1, 0, -332, 0, 41334, 0, -2287148, 0, 47458321], [1, 0, -356, 0, 47526, 0, -2819876, 0, 62742241], [1, 56, 1564, 27272, 323014, 2645384, 14715676, 51109688, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/768/2/f/d'], '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': '8-768e4-1.1-c1e4-0-2', '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': '8-768e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.4763906951921655, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 133553573280013610, 'z1': {'__RealLiteral__': 0, 'data': '0.33364763152082249397841607729', 'prec': 103}}
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{'Lhash': '422948620362097746238025412296,1396354279859747836340262366915,2128691357808697480490426988231,2257445990125954900883206804185', 'Lhash_array': ['422948620362097746238025412296', '1396354279859747836340262366915', '2128691357808697480490426988231', '2257445990125954900883206804185'], 'label': '8-768e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/768/2/f/d'}