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{'Lhash': '781229028617988704732926626417,1157732875977539353648970421101,1949720505254217475835141585153,2180252295841643786146796702774', 'a10': 0, 'a2': 2, 'a3': 4, 'a4': 2, 'a5': 0, 'a6': 8, 'a7': 2, 'a8': 5, 'a9': 10, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 50247.39094752255, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, -4, 6, -4, 1]], [5, [1]]], 'bad_primes': [3, 5], 'central_character': '1875.1', 'coefficient_field': '1.1.1.1', 'conductor': 12359619140625, 'conductor_radical': 15, 'degree': 8, 'euler_factors': [[1, -2, 2, -5, 11, -10, 8, -16, 16], [1, -4, 6, -4, 1], [1], [1, -2, 12, -15, 61, -105, 588, -686, 2401], [1, 7, 38, 139, 485, 1529, 4598, 9317, 14641], [1, -1, 38, -15, 641, -195, 6422, -2197, 28561], [1, -2, 62, -95, 1541, -1615, 17918, -9826, 83521], [1, -5, 41, -210, 1111, -3990, 14801, -34295, 130321], [1, -1, 68, -115, 2051, -2645, 35972, -12167, 279841], [1, 20, 256, 2145, 13571, 62205, 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{'__RealLiteral__': 0, 'data': '1.53805828270281050196862763619', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 50247.39094752255, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 12359619140625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 2, 4, 2, 0, 8, 2, 5, 10, 0, -7, 8, 1, 4, 0, 5, 2, 20, 5, 0, 8, -14, 1, 20, 0, 2, 20, 4, -20, 0, 23, -2, -28, 4, 0, 20, 2, 10, 4, 0, -12, 16, 16, -14, 0, 2, 2, 20, -8, 0, 8, 2, -4, 40, 0, 10, 20, -40, -15, 0, -2, 46, 20, 1, 0, -56, 2, 4, 4, 0, -2, 50, 16, 4, 0, 10, -14, 8, 35, 0, 35, -24, 16, 16, 0, 32, -80, -35, -35, 0, 2, 2, 92, 4, 0, -8, 12, -16, -70, 0], 'euler11': [1, 7, 38, 139, 485, 1529, 4598, 9317, 14641], 'euler13': [1, -1, 38, -15, 641, -195, 6422, -2197, 28561], 'euler17': [1, -2, 62, -95, 1541, -1615, 17918, -9826, 83521], 'euler19': [1, -5, 41, -210, 1111, -3990, 14801, -34295, 130321], 'euler2': [1, -2, 2, -5, 11, -10, 8, -16, 16], 'euler23': [1, -1, 68, -115, 2051, -2645, 35972, -12167, 279841], 'euler29': [1, 20, 256, 2145, 13571, 62205, 215296, 487780, 707281], 'euler3': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler31': [1, -23, 308, -2751, 17885, -85281, 295988, -685193, 923521], 'euler37': [1, -2, 102, -175, 4811, -6475, 139638, -101306, 1874161], 'euler41': [1, 12, 178, 1344, 11355, 55104, 299218, 827052, 2825761], 'euler43': [1, -16, 233, -2040, 16241, -87720, 430817, -1272112, 3418801], 'euler47': [1, -2, 152, -245, 10181, -11515, 335768, -207646, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 4, 178, 585, 13511, 31005, 500002, 595508, 7890481], 'euler59': [1, 15, 191, 1440, 11931, 84960, 664871, 3080685, 12117361], 'euler61': [1, 2, 188, 444, 15485, 27084, 699548, 453962, 13845841], 'euler67': [1, -2, 237, -390, 22951, -26130, 1063893, -601526, 20151121], 'euler7': [1, -2, 12, -15, 61, -105, 588, -686, 2401], 'euler71': [1, 2, 68, -811, 485, -57581, 342788, 715822, 25411681], 'euler73': [1, -16, 243, -2010, 19951, -146730, 1294947, -6224272, 28398241], 'euler79': [1, -35, 636, -7945, 78161, -627655, 3969276, -17256365, 38950081], 'euler83': [1, -16, 278, -2680, 31391, -222440, 1915142, -9148592, 47458321], 'euler89': [1, 35, 776, 11375, 125591, 1012375, 6146696, 24673915, 62742241], 'euler97': [1, -12, 302, -2760, 41871, -267720, 2841518, -10952076, 88529281], 'euler_factors': [[1, -2, 2, -5, 11, -10, 8, -16, 16], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 12, -15, 61, -105, 588, -686, 2401], [1, 7, 38, 139, 485, 1529, 4598, 9317, 14641], [1, -1, 38, -15, 641, -195, 6422, -2197, 28561], [1, -2, 62, -95, 1541, -1615, 17918, -9826, 83521], [1, -5, 41, -210, 1111, -3990, 14801, -34295, 130321], [1, -1, 68, -115, 2051, -2645, 35972, -12167, 279841], [1, 20, 256, 2145, 13571, 62205, 215296, 487780, 707281], [1, -23, 308, -2751, 17885, -85281, 295988, -685193, 923521], [1, -2, 102, -175, 4811, -6475, 139638, -101306, 1874161], [1, 12, 178, 1344, 11355, 55104, 299218, 827052, 2825761], [1, -16, 233, -2040, 16241, -87720, 430817, -1272112, 3418801], [1, -2, 152, -245, 10181, -11515, 335768, -207646, 4879681], [1, 4, 178, 585, 13511, 31005, 500002, 595508, 7890481], [1, 15, 191, 1440, 11931, 84960, 664871, 3080685, 12117361], [1, 2, 188, 444, 15485, 27084, 699548, 453962, 13845841], [1, -2, 237, -390, 22951, -26130, 1063893, -601526, 20151121], [1, 2, 68, -811, 485, -57581, 342788, 715822, 25411681], [1, -16, 243, -2010, 19951, -146730, 1294947, -6224272, 28398241], [1, -35, 636, -7945, 78161, -627655, 3969276, -17256365, 38950081], [1, -16, 278, -2680, 31391, -222440, 1915142, -9148592, 47458321], [1, 35, 776, 11375, 125591, 1012375, 6146696, 24673915, 62742241], [1, -12, 302, -2760, 41871, -267720, 2841518, -10952076, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1875/2/a/h'], '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': '8-1875e4-1.1-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': '8-1875e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.8693604612377586, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1902858866769690127, 'z1': {'__RealLiteral__': 0, 'data': '0.61628103870051830695030692803', 'prec': 103}}
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{'Lhash': '781229028617988704732926626417,1157732875977539353648970421101,1949720505254217475835141585153,2180252295841643786146796702774', 'Lhash_array': ['781229028617988704732926626417', '1157732875977539353648970421101', '1949720505254217475835141585153', '2180252295841643786146796702774'], 'label': '8-1875e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1875/2/a/h'}