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{'Lhash': '2210817088631207032096047498391,3221591906992891163794113936443,3244591763277153810983923552731,5149039298975081378608730695375', 'a10': -12, 'a2': -6, 'a3': 3, 'a4': 17, 'a5': 2, 'a6': -18, 'a7': 4, 'a8': -30, 'a9': 7, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.01389895824978424, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[43, [1, 26, 255, 1118, 1849]]], 'bad_primes': [43], 'central_character': '43.1', 'coefficient_field': '1.1.1.1', 'conductor': 3418801, 'conductor_radical': 43, 'degree': 8, 'euler_factors': [[1, 6, 19, 42, 69, 84, 76, 48, 16], [1, -3, 2, -3, 13, -9, 18, -81, 81], [1, -2, -2, 8, -9, 40, -50, -250, 625], [1, -4, 3, 4, 8, 28, 147, -1372, 2401], [1, 10, 79, 380, 1521, 4180, 9559, 13310, 14641], [1, 5, -6, 25, 467, 325, -1014, 10985, 28561], [1, 1, -2, -31, -297, -527, -578, 4913, 83521], [1, 2, -30, -8, 719, -152, -10830, 13718, 130321], [1, 11, 46, 319, 2313, 7337, 24334, 133837, 279841], 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{'algebraic': True, 'analytic_conductor': 0.01389895824978424, 'bad_primes': [43], 'central_character': '1.1', 'conductor': 3418801, 'conductor_radical': 43, 'degree': 8, 'dirichlet_coefficients': [1, -6, 3, 17, 2, -18, 4, -30, 7, -12, -10, 51, -5, -24, 6, 40, -1, -42, -2, 34, 12, 60, -11, -90, 6, 30, 18, 68, -6, -36, 0, -54, -30, 6, 8, 119, 3, 12, -15, -60, 20, -72, -26, -170, 14, 66, 18, 120, 13, -36, -3, -85, 5, -108, -20, -120, -6, 36, -2, 102, 1, 0, 28, 79, -10, 180, 1, -17, -33, -48, -3, -210, 3, -18, 18, -34, -40, 90, 5, 80, 36, -120, -3, 204, -2, 156, -18, 300, -3, -84, -20, -187, 0, -108, -4, -162, -28, -78, -70, 102], 'euler11': [1, 10, 79, 380, 1521, 4180, 9559, 13310, 14641], 'euler13': [1, 5, -6, 25, 467, 325, -1014, 10985, 28561], 'euler17': [1, 1, -2, -31, -297, -527, -578, 4913, 83521], 'euler19': [1, 2, -30, -8, 719, -152, -10830, 13718, 130321], 'euler2': [1, 6, 19, 42, 69, 84, 76, 48, 16], 'euler23': [1, 11, 46, 319, 2313, 7337, 24334, 133837, 279841], 'euler29': [1, 6, -31, 54, 2604, 1566, -26071, 146334, 707281], 'euler3': [1, -3, 2, -3, 13, -9, 18, -81, 81], 'euler31': [1, 0, -62, 0, 2883, 0, -59582, 0, 923521], 'euler37': [1, -3, -56, 27, 2523, 999, -76664, -151959, 1874161], 'euler41': [1, -20, 274, -2560, 19131, -104960, 460594, -1378420, 2825761], 'euler43': [1, 26, 255, 1118, 1849, 0, 0, 0, 0], 'euler47': [1, -18, 287, -2700, 22641, -126900, 633983, -1868814, 4879681], 'euler5': [1, -2, -2, 8, -9, 40, -50, -250, 625], 'euler53': [1, -5, -86, -25, 8187, -1325, -241574, -744385, 7890481], 'euler59': [1, 2, 175, 292, 14649, 17228, 609175, 410758, 12117361], 'euler61': [1, -1, -110, 11, 8539, 671, -409310, -226981, 13845841], 'euler67': [1, -1, -122, 11, 10573, 737, -547658, -300763, 20151121], 'euler7': [1, -4, 3, 4, 8, 28, 147, -1372, 2401], 'euler71': [1, 3, 16, -447, -5631, -31737, 80656, 1073733, 25411681], 'euler73': [1, -3, -128, 27, 12783, 1971, -682112, -1167051, 28398241], 'euler79': [1, -5, -138, -25, 18353, -1975, -861258, -2465195, 38950081], 'euler83': [1, 3, 52, -627, -5787, -52041, 358228, 1715361, 47458321], 'euler89': [1, 3, -160, -27, 19839, -2403, -1267360, 2114907, 62742241], 'euler97': [1, 28, 672, 9380, 113486, 909860, 6322848, 25554844, 88529281], 'euler_factors': [[1, 6, 19, 42, 69, 84, 76, 48, 16], [1, -3, 2, -3, 13, -9, 18, -81, 81], [1, -2, -2, 8, -9, 40, -50, -250, 625], [1, -4, 3, 4, 8, 28, 147, -1372, 2401], [1, 10, 79, 380, 1521, 4180, 9559, 13310, 14641], [1, 5, -6, 25, 467, 325, -1014, 10985, 28561], [1, 1, -2, -31, -297, -527, -578, 4913, 83521], [1, 2, -30, -8, 719, -152, -10830, 13718, 130321], [1, 11, 46, 319, 2313, 7337, 24334, 133837, 279841], [1, 6, -31, 54, 2604, 1566, -26071, 146334, 707281], [1, 0, -62, 0, 2883, 0, -59582, 0, 923521], [1, -3, -56, 27, 2523, 999, -76664, -151959, 1874161], [1, -20, 274, -2560, 19131, -104960, 460594, -1378420, 2825761], [1, 26, 255, 1118, 1849, 0, 0, 0, 0], [1, -18, 287, -2700, 22641, -126900, 633983, -1868814, 4879681], [1, -5, -86, -25, 8187, -1325, -241574, -744385, 7890481], [1, 2, 175, 292, 14649, 17228, 609175, 410758, 12117361], [1, -1, -110, 11, 8539, 671, -409310, -226981, 13845841], [1, -1, -122, 11, 10573, 737, -547658, -300763, 20151121], [1, 3, 16, -447, -5631, -31737, 80656, 1073733, 25411681], [1, -3, -128, 27, 12783, 1971, -682112, -1167051, 28398241], [1, -5, -138, -25, 18353, -1975, -861258, -2465195, 38950081], [1, 3, 52, -627, -5787, -52041, 358228, 1715361, 47458321], [1, 3, -160, -27, 19839, -2403, -1267360, 2114907, 62742241], [1, 28, 672, 9380, 113486, 909860, 6322848, 25554844, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/43/2/c/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': '8-43e4-1.1-c1e4-0-0', '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': '8-43e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.5859664910995388, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 101827303253255094, 'z1': {'__RealLiteral__': 0, 'data': '1.74402716981569586677513667000', 'prec': 103}}
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{'Lhash': '2210817088631207032096047498391,3221591906992891163794113936443,3244591763277153810983923552731,5149039298975081378608730695375', 'Lhash_array': ['2210817088631207032096047498391', '3221591906992891163794113936443', '3244591763277153810983923552731', '5149039298975081378608730695375'], 'label': '8-43e4-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/43/2/c/b'}