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{'Lhash': '272896141450339102203620114774,1270754781861034594958960232416,1410660565501323614058588770497,1612118792183765212597322560921', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 249885.21069168346, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1]], [7, [1, 0, 2, 0, 1]]], 'bad_primes': [2, 5, 7], 'central_character': '2800.1', 'coefficient_field': '1.1.1.1', 'conductor': 61465600000000, 'conductor_radical': 70, 'degree': 8, 'euler_factors': [[1], [1, 0, -3, 0, 16, 0, -27, 0, 81], [1], [1, 0, 2, 0, 1], [1, -8, 34, -160, 675, -1760, 4114, -10648, 14641], [1, 0, -44, 0, 822, 0, -7436, 0, 28561], [1, 0, -59, 0, 1444, 0, -17051, 0, 83521], [1, -6, 81, -330, 2360, -6270, 29241, -41154, 130321], [1, 0, -59, 0, 1720, 0, -31211, 0, 279841], [1, 22, 289, 2486, 15756, 72094, 243049, 536558, 707281], [1, -20, 240, -2020, 13022, -62620, 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-
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{'algebraic': True, 'analytic_conductor': 249885.21069168346, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 61465600000000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 2, 0, -7, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0], 'euler11': [1, -8, 34, -160, 675, -1760, 4114, -10648, 14641], 'euler13': [1, 0, -44, 0, 822, 0, -7436, 0, 28561], 'euler17': [1, 0, -59, 0, 1444, 0, -17051, 0, 83521], 'euler19': [1, -6, 81, -330, 2360, -6270, 29241, -41154, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -59, 0, 1720, 0, -31211, 0, 279841], 'euler29': [1, 22, 289, 2486, 15756, 72094, 243049, 536558, 707281], 'euler3': [1, 0, -3, 0, 16, 0, -27, 0, 81], 'euler31': [1, -20, 240, -2020, 13022, -62620, 230640, -595820, 923521], 'euler37': [1, 0, 69, 0, 2972, 0, 94461, 0, 1874161], 'euler41': [1, 18, 277, 2502, 19608, 102582, 465637, 1240578, 2825761], 'euler43': [1, 0, -123, 0, 7136, 0, -227427, 0, 3418801], 'euler47': [1, 0, -52, 0, 5094, 0, -114868, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -160, 0, 11406, 0, -449440, 0, 7890481], 'euler59': [1, 4, -64, 100, 8590, 5900, -222784, 821516, 12117361], 'euler61': [1, -28, 504, -6020, 55070, -367220, 1875384, -6355468, 13845841], 'euler67': [1, 0, 54, 0, -85, 0, 242406, 0, 20151121], 'euler7': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler71': [1, -18, 329, -3510, 36960, -249210, 1658489, -6442398, 25411681], 'euler73': [1, 0, -139, 0, 14260, 0, -740731, 0, 28398241], 'euler79': [1, -2, 241, -398, 27040, -31442, 1504081, -986078, 38950081], 'euler83': [1, 0, -143, 0, 10284, 0, -985127, 0, 47458321], 'euler89': [1, -2, 145, -322, 21204, -28658, 1148545, -1409938, 62742241], 'euler97': [1, 0, -316, 0, 43782, 0, -2973244, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -3, 0, 16, 0, -27, 0, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, -8, 34, -160, 675, -1760, 4114, -10648, 14641], [1, 0, -44, 0, 822, 0, -7436, 0, 28561], [1, 0, -59, 0, 1444, 0, -17051, 0, 83521], [1, -6, 81, -330, 2360, -6270, 29241, -41154, 130321], [1, 0, -59, 0, 1720, 0, -31211, 0, 279841], [1, 22, 289, 2486, 15756, 72094, 243049, 536558, 707281], [1, -20, 240, -2020, 13022, -62620, 230640, -595820, 923521], [1, 0, 69, 0, 2972, 0, 94461, 0, 1874161], [1, 18, 277, 2502, 19608, 102582, 465637, 1240578, 2825761], [1, 0, -123, 0, 7136, 0, -227427, 0, 3418801], [1, 0, -52, 0, 5094, 0, -114868, 0, 4879681], [1, 0, -160, 0, 11406, 0, -449440, 0, 7890481], [1, 4, -64, 100, 8590, 5900, -222784, 821516, 12117361], [1, -28, 504, -6020, 55070, -367220, 1875384, -6355468, 13845841], [1, 0, 54, 0, -85, 0, 242406, 0, 20151121], [1, -18, 329, -3510, 36960, -249210, 1658489, -6442398, 25411681], [1, 0, -139, 0, 14260, 0, -740731, 0, 28398241], [1, -2, 241, -398, 27040, -31442, 1504081, -986078, 38950081], [1, 0, -143, 0, 10284, 0, -985127, 0, 47458321], [1, -2, 145, -322, 21204, -28658, 1148545, -1409938, 62742241], [1, 0, -316, 0, 43782, 0, -2973244, 0, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2800/2/g/v'], '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': '8-2800e4-1.1-c1e4-0-6', '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': '8-2800e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.728436587917672, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 636943571029604511, 'z1': {'__RealLiteral__': 0, 'data': '0.21527709717583578563306915765', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '272896141450339102203620114774,1270754781861034594958960232416,1410660565501323614058588770497,1612118792183765212597322560921', 'Lhash_array': ['272896141450339102203620114774', '1270754781861034594958960232416', '1410660565501323614058588770497', '1612118792183765212597322560921'], 'label': '8-2800e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2800/2/g/v'}