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{'Lhash': '512934513346349907997781833040,877667529261080187381539426472,1365382803690039039627374350296,1834343390943820436253168120090', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -8, 'a8': 0, 'a9': 4, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 41923.781549798834, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [7, [1, 8, 30, 56, 49]]], 'bad_primes': [2, 7], 'central_character': '1792.1', 'coefficient_field': '1.1.1.1', 'conductor': 10312216477696, 'conductor_radical': 14, 'degree': 8, 'euler_factors': [[1], [1, 0, -4, 0, 22, 0, -36, 0, 81], [1, 0, -4, 0, 54, 0, -100, 0, 625], [1, 8, 30, 56, 49], [1, 0, 20, 0, 342, 0, 2420, 0, 14641], [1, 0, 28, 0, 534, 0, 4732, 0, 28561], [1, 0, -68, 0, 1734, 0, -19652, 0, 83521], [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], [1, 0, -68, 0, 2214, 0, -35972, 0, 279841], [1, 0, -44, 0, 2166, 0, -37004, 0, 707281], [1, -32, 508, -5024, 33670, -155744, 488188, 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{'algebraic': True, 'analytic_conductor': 41923.781549798834, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 10312216477696, 'conductor_radical': 14, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 20, 0, 342, 0, 2420, 0, 14641], 'euler13': [1, 0, 28, 0, 534, 0, 4732, 0, 28561], 'euler17': [1, 0, -68, 0, 1734, 0, -19652, 0, 83521], 'euler19': [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -68, 0, 2214, 0, -35972, 0, 279841], 'euler29': [1, 0, -44, 0, 2166, 0, -37004, 0, 707281], 'euler3': [1, 0, -4, 0, 22, 0, -36, 0, 81], 'euler31': [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], 'euler37': [1, 0, -140, 0, 7638, 0, -191660, 0, 1874161], 'euler41': [1, 0, -68, 0, 4518, 0, -114308, 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, -4, 0, 54, 0, -100, 0, 625], 'euler53': [1, 0, -140, 0, 10518, 0, -393260, 0, 7890481], 'euler59': [1, 0, -164, 0, 13686, 0, -570884, 0, 12117361], 'euler61': [1, 0, 220, 0, 19542, 0, 818620, 0, 13845841], 'euler67': [1, 0, 244, 0, 23862, 0, 1095316, 0, 20151121], 'euler7': [1, 8, 30, 56, 49, 0, 0, 0, 0], 'euler71': [1, 0, -260, 0, 26982, 0, -1310660, 0, 25411681], 'euler73': [1, 0, -196, 0, 20262, 0, -1044484, 0, 28398241], 'euler79': [1, 0, -292, 0, 33798, 0, -1822372, 0, 38950081], 'euler83': [1, 0, -260, 0, 30678, 0, -1791140, 0, 47458321], 'euler89': [1, 0, -260, 0, 32742, 0, -2059460, 0, 62742241], 'euler97': [1, 0, -4, 0, 18822, 0, -37636, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -4, 0, 22, 0, -36, 0, 81], [1, 0, -4, 0, 54, 0, -100, 0, 625], [1, 8, 30, 56, 49, 0, 0, 0, 0], [1, 0, 20, 0, 342, 0, 2420, 0, 14641], [1, 0, 28, 0, 534, 0, 4732, 0, 28561], [1, 0, -68, 0, 1734, 0, -19652, 0, 83521], [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], [1, 0, -68, 0, 2214, 0, -35972, 0, 279841], [1, 0, -44, 0, 2166, 0, -37004, 0, 707281], [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], [1, 0, -140, 0, 7638, 0, -191660, 0, 1874161], [1, 0, -68, 0, 4518, 0, -114308, 0, 2825761], [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], [1, 0, -140, 0, 10518, 0, -393260, 0, 7890481], [1, 0, -164, 0, 13686, 0, -570884, 0, 12117361], [1, 0, 220, 0, 19542, 0, 818620, 0, 13845841], [1, 0, 244, 0, 23862, 0, 1095316, 0, 20151121], [1, 0, -260, 0, 26982, 0, -1310660, 0, 25411681], [1, 0, -196, 0, 20262, 0, -1044484, 0, 28398241], [1, 0, -292, 0, 33798, 0, -1822372, 0, 38950081], [1, 0, -260, 0, 30678, 0, -1791140, 0, 47458321], [1, 0, -260, 0, 32742, 0, -2059460, 0, 62742241], [1, 0, -4, 0, 18822, 0, -37636, 0, 88529281]], 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1792/2/e/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': '8-1792e4-1.1-c1e4-0-7', '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': '8-1792e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.782749270334138, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 120240115090156668, 'z1': {'__RealLiteral__': 0, 'data': '0.40463398451750074972246008940', 'prec': 103}}
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{'Lhash': '512934513346349907997781833040,877667529261080187381539426472,1365382803690039039627374350296,1834343390943820436253168120090', 'Lhash_array': ['512934513346349907997781833040', '877667529261080187381539426472', '1365382803690039039627374350296', '1834343390943820436253168120090'], 'label': '8-1792e4-1.1-c1e4-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1792/2/e/a'}