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{'Lhash': '2135558697206700431773727263989,2178147645903969442467115072944,3060640766245813663035200741292,3584563397767987350441970269804', 'a10': 0, 'a2': -2, 'a3': 4, 'a4': 1, 'a5': 0, 'a6': -8, 'a7': 8, 'a8': 2, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6866379982160093, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 3, 2, 1]], [3, [1, -4, 10, -12, 9]], [19, [1, 2, -15, 38, 361]]], 'bad_primes': [2, 3, 19], 'central_character': '114.1', 'coefficient_field': '1.1.1.1', 'conductor': 168896016, 'conductor_radical': 114, 'degree': 8, 'euler_factors': [[1, 2, 3, 2, 1], [1, -4, 10, -12, 9], [1, 0, 8, 0, 39, 0, 200, 0, 625], [1, -8, 40, -152, 466, -1064, 1960, -2744, 2401], [1, 0, -34, 0, 507, 0, -4114, 0, 14641], [1, 12, 86, 456, 1899, 5928, 14534, 26364, 28561], [1, -12, 86, -456, 1971, -7752, 24854, -58956, 83521], [1, 2, -15, 38, 361], [1, 0, -4, 0, -513, 0, -2116, 0, 279841], [1, 0, -52, 0, 1863, 0, 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'14.07355260441014396025208814726678'], 'prelabel': '8-114e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.9540935923915415, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 2193333683702316649, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.68465876703108235790528508369', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.71825552365282122115149657755', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.41441984541700376014803708653', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 0.6866379982160093, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 168896016, 'conductor_radical': 114, 'degree': 8, 'dirichlet_coefficients': [1, -2, 4, 1, 0, -8, 8, 2, 6, 0, 0, 4, -12, -16, 0, -4, 12, -12, -2, 0, 32, 0, 0, 8, -8, 24, -4, 8, 0, 0, 0, 2, 0, -24, 0, 6, 0, 4, -48, 0, 6, -64, 8, 0, 0, 0, -12, -16, 24, 16, 48, -12, 12, 8, 0, 16, -8, 0, -18, 0, 8, 0, 48, 3, 0, 0, -6, 12, 0, 0, -12, 12, 2, 0, -32, -2, 0, 96, 0, 0, -37, -12, 0, 32, 0, -16, 0, 0, -24, 0, -96, 0, 0, 24, 0, 8, -18, -48, 0, -8], 'euler11': [1, 0, -34, 0, 507, 0, -4114, 0, 14641], 'euler13': [1, 12, 86, 456, 1899, 5928, 14534, 26364, 28561], 'euler17': [1, -12, 86, -456, 1971, -7752, 24854, -58956, 83521], 'euler19': [1, 2, -15, 38, 361, 0, 0, 0, 0], 'euler2': [1, 2, 3, 2, 1, 0, 0, 0, 0], 'euler23': [1, 0, -4, 0, -513, 0, -2116, 0, 279841], 'euler29': [1, 0, -52, 0, 1863, 0, -43732, 0, 707281], 'euler3': [1, -4, 10, -12, 9, 0, 0, 0, 0], 'euler31': [1, 0, -88, 0, 3858, 0, -84568, 0, 923521], 'euler37': [1, 0, -88, 0, 3810, 0, -120472, 0, 1874161], 'euler41': [1, -6, -55, -54, 5124, -2214, -92455, -413526, 2825761], 'euler43': [1, -8, -14, 64, 1483, 2752, -25886, -636056, 3418801], 'euler47': [1, 12, 56, 96, 111, 4512, 123704, 1245876, 4879681], 'euler5': [1, 0, 8, 0, 39, 0, 200, 0, 625], 'euler53': [1, -12, 26, -144, 3483, -7632, 73034, -1786524, 7890481], 'euler59': [1, 18, 131, 1350, 14652, 79650, 456011, 3696822, 12117361], 'euler61': [1, -8, -68, -80, 9799, -4880, -253028, -1815848, 13845841], 'euler67': [1, 6, 131, 714, 10476, 47838, 588059, 1804578, 20151121], 'euler7': [1, -8, 40, -152, 466, -1064, 1960, -2744, 2401], 'euler71': [1, 12, -34, 432, 16419, 30672, -171394, 4294932, 25411681], 'euler73': [1, -2, -47, 190, -3020, 13870, -250463, -778034, 28398241], 'euler79': [1, 0, 86, 0, 1155, 0, 536726, 0, 38950081], 'euler83': [1, 0, 158, 0, 18075, 0, 1088462, 0, 47458321], 'euler89': [1, 24, 278, 2880, 29619, 256320, 2202038, 16919256, 62742241], 'euler97': [1, 18, 257, 2682, 23268, 260154, 2418113, 16428114, 88529281], 'euler_factors': [[1, 2, 3, 2, 1, 0, 0, 0, 0], [1, -4, 10, -12, 9, 0, 0, 0, 0], [1, 0, 8, 0, 39, 0, 200, 0, 625], [1, -8, 40, -152, 466, -1064, 1960, -2744, 2401], [1, 0, -34, 0, 507, 0, -4114, 0, 14641], [1, 12, 86, 456, 1899, 5928, 14534, 26364, 28561], [1, -12, 86, -456, 1971, -7752, 24854, -58956, 83521], [1, 2, -15, 38, 361, 0, 0, 0, 0], [1, 0, -4, 0, -513, 0, -2116, 0, 279841], [1, 0, -52, 0, 1863, 0, -43732, 0, 707281], [1, 0, -88, 0, 3858, 0, -84568, 0, 923521], [1, 0, -88, 0, 3810, 0, -120472, 0, 1874161], [1, -6, -55, -54, 5124, -2214, -92455, -413526, 2825761], [1, -8, -14, 64, 1483, 2752, -25886, -636056, 3418801], [1, 12, 56, 96, 111, 4512, 123704, 1245876, 4879681], [1, -12, 26, -144, 3483, -7632, 73034, -1786524, 7890481], [1, 18, 131, 1350, 14652, 79650, 456011, 3696822, 12117361], [1, -8, -68, -80, 9799, -4880, -253028, -1815848, 13845841], [1, 6, 131, 714, 10476, 47838, 588059, 1804578, 20151121], [1, 12, -34, 432, 16419, 30672, -171394, 4294932, 25411681], [1, -2, -47, 190, -3020, 13870, -250463, -778034, 28398241], [1, 0, 86, 0, 1155, 0, 536726, 0, 38950081], [1, 0, 158, 0, 18075, 0, 1088462, 0, 47458321], [1, 24, 278, 2880, 29619, 256320, 2202038, 16919256, 62742241], [1, 18, 257, 2682, 23268, 260154, 2418113, 16428114, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/114/2/h/e'], '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': '8-114e4-1.1-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': '8-114e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.9540935923915415, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2193333683702316649, 'z1': {'__RealLiteral__': 0, 'data': '1.68465876703108235790528508369', 'prec': 103}}
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{'Lhash': '2135558697206700431773727263989,2178147645903969442467115072944,3060640766245813663035200741292,3584563397767987350441970269804', 'Lhash_array': ['2135558697206700431773727263989', '2178147645903969442467115072944', '3060640766245813663035200741292', '3584563397767987350441970269804'], 'label': '8-114e4-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/114/2/h/e'}