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{'Lhash': '452195932812531535664617144078,797504187196426410053151426018,1496995652514657460387151788278,2034239741113064669845741898645', 'a10': 0, 'a2': 0, 'a3': -6, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 6, 'a8': 0, 'a9': 21, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2667.3405406408388, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 6, 15, 18, 9]], [5, [1]]], 'bad_primes': [2, 3, 5], 'central_character': '900.1', 'coefficient_field': '1.1.1.1', 'conductor': 656100000000, 'conductor_radical': 30, 'degree': 8, 'euler_factors': [[1], [1, 6, 15, 18, 9], [1], [1, -6, 9, 42, -208, 294, 441, -2058, 2401], [1, 6, 28, 96, 267, 1056, 3388, 7986, 14641], [1, 6, 18, 36, 23, 468, 3042, 13182, 28561], [1, 12, 72, 420, 2126, 7140, 20808, 58956, 83521], [1, 0, -20, 0, 714, 0, -7220, 0, 130321], [1, 6, 45, 246, 1208, 5658, 23805, 73002, 279841], [1, -12, 53, -396, 3264, -11484, 44573, -292668, 707281], [1, 2, -32, -52, 211, 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{'algebraic': True, 'analytic_conductor': 2667.3405406408388, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 656100000000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, -6, 0, 0, 0, 6, 0, 21, 0, -6, 0, -6, 0, 0, 0, -12, 0, 0, 0, -36, 0, -6, 0, 0, 0, -54, 0, 12, 0, -2, 0, 36, 0, 0, 0, 12, 0, 36, 0, 12, 0, 6, 0, 0, 0, -24, 0, 27, 0, 72, 0, 12, 0, 0, 0, 0, 0, -12, 0, -4, 0, 126, 0, 0, 0, 30, 0, 36, 0, 0, 0, 24, 0, 0, 0, -36, 0, 0, 0, 108, 0, 0, 0, 0, 0, -72, 0, 24, 0, -36, 0, 12, 0, 0, 0, 24, 0, -126, 0], 'euler11': [1, 6, 28, 96, 267, 1056, 3388, 7986, 14641], 'euler13': [1, 6, 18, 36, 23, 468, 3042, 13182, 28561], 'euler17': [1, 12, 72, 420, 2126, 7140, 20808, 58956, 83521], 'euler19': [1, 0, -20, 0, 714, 0, -7220, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 6, 45, 246, 1208, 5658, 23805, 73002, 279841], 'euler29': [1, -12, 53, -396, 3264, -11484, 44573, -292668, 707281], 'euler3': [1, 6, 15, 18, 9, 0, 0, 0, 0], 'euler31': [1, 2, -32, -52, 211, -1612, -30752, 59582, 923521], 'euler37': [1, -12, 72, -372, 1886, -13764, 98568, -607836, 1874161], 'euler41': [1, -12, 133, -1020, 7512, -41820, 223573, -827052, 2825761], 'euler43': [1, -6, 18, 408, -3073, 17544, 33282, -477042, 3418801], 'euler47': [1, 24, 369, 3792, 30092, 178224, 815121, 2491752, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, -12, 72, -204, -718, -10812, 202248, -1786524, 7890481], 'euler59': [1, 12, 2, 288, 8187, 16992, 6962, 2464548, 12117361], 'euler61': [1, 4, -83, -92, 5104, -5612, -308843, 907924, 13845841], 'euler67': [1, -30, 549, -6774, 63824, -453858, 2464461, -9022890, 20151121], 'euler7': [1, -6, 9, 42, -208, 294, 441, -2058, 2401], 'euler71': [1, 0, -116, 0, 10746, 0, -584756, 0, 25411681], 'euler73': [1, -24, 288, -2904, 26978, -211992, 1534752, -9336408, 28398241], 'euler79': [1, 0, 154, 0, 17475, 0, 961114, 0, 38950081], 'euler83': [1, 0, 81, 1008, 2804, 83664, 558009, 0, 47458321], 'euler89': [1, -24, 422, -5472, 60795, -487008, 3342662, -16919256, 62742241], 'euler97': [1, -24, 180, 1620, -36289, 157140, 1693620, -21904152, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 15, 18, 9, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -6, 9, 42, -208, 294, 441, -2058, 2401], [1, 6, 28, 96, 267, 1056, 3388, 7986, 14641], [1, 6, 18, 36, 23, 468, 3042, 13182, 28561], [1, 12, 72, 420, 2126, 7140, 20808, 58956, 83521], [1, 0, -20, 0, 714, 0, -7220, 0, 130321], [1, 6, 45, 246, 1208, 5658, 23805, 73002, 279841], [1, -12, 53, -396, 3264, -11484, 44573, -292668, 707281], [1, 2, -32, -52, 211, -1612, -30752, 59582, 923521], [1, -12, 72, -372, 1886, -13764, 98568, -607836, 1874161], [1, -12, 133, -1020, 7512, -41820, 223573, -827052, 2825761], [1, -6, 18, 408, -3073, 17544, 33282, -477042, 3418801], [1, 24, 369, 3792, 30092, 178224, 815121, 2491752, 4879681], [1, -12, 72, -204, -718, -10812, 202248, -1786524, 7890481], [1, 12, 2, 288, 8187, 16992, 6962, 2464548, 12117361], [1, 4, -83, -92, 5104, -5612, -308843, 907924, 13845841], [1, -30, 549, -6774, 63824, -453858, 2464461, -9022890, 20151121], [1, 0, -116, 0, 10746, 0, -584756, 0, 25411681], [1, -24, 288, -2904, 26978, -211992, 1534752, -9336408, 28398241], [1, 0, 154, 0, 17475, 0, 961114, 0, 38950081], [1, 0, 81, 1008, 2804, 83664, 558009, 0, 47458321], [1, -24, 422, -5472, 60795, -487008, 3342662, -16919256, 62742241], [1, -24, 180, 1620, -36289, 157140, 1693620, -21904152, 88529281]], 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/900/2/be/a'], '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': '8-30e8-1.1-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': '8-30e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.680771564664777, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 967380907441893776, 'z1': {'__RealLiteral__': 0, 'data': '0.35671969289575346207616796072', 'prec': 103}}
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{'Lhash': '452195932812531535664617144078,797504187196426410053151426018,1496995652514657460387151788278,2034239741113064669845741898645', 'Lhash_array': ['452195932812531535664617144078', '797504187196426410053151426018', '1496995652514657460387151788278', '2034239741113064669845741898645'], 'label': '8-30e8-1.1-c1e4-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/900/2/be/a'}