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{'algebraic': True, 'analytic_conductor': 3054.5445509070723, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 252047376, 'conductor_radical': 42, 'degree': 8, 'dirichlet_coefficients': [1, 4, 0, 4, 5, 0, 0, -16, 0, 20, 67, 0, 82, 0, 0, -64, -92, 0, -43, 20, 0, 268, 148, 0, -80, 328, 0, 0, -154, 0, 520, -64, 0, -368, 0, 0, -7, -172, 0, -80, 852, 0, -214, 268, 0, 592, 576, 0, 659, -320, 0, 328, -243, 0, 335, 0, 0, -616, -7, 0, -224, 2080, 0, 192, 410, 0, -687, -368, 0, 0, -944, 0, 921, -28, 0, -172, 0, 0, 526, -320, 0, 3408, 442, 0, -460, -856, 0, -1072, 774, 0, 0, 592, 0, 2304, -215, 0, 3906, 2636, 0, -320], 'euler11': [1, -67, 1041, -52662, 4142284, -70093122, 1844195001, -157982495297, 3138428376721], 'euler13': [1, -82, 10637, -547350, 37092416, -1202527950, 51342767333, -869568948586, 23298085122481], 'euler17': [1, 92, 1902, -300288, -22661357, -1475314944, 45909656238, 10910084637724, 582622237229761], 'euler19': [1, 43, -9305, -110252, 64683544, -756218468, 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'euler5': [1, -5, 105, 1650, -12350, 206250, 1640625, -9765625, 244140625], 'euler53': [1, 243, -250441, 2851848, 64828660998, 424574574696, -5550864765507889, 801842552807918319, 491258904256726154641], 'euler59': [1, 7, -200565, -1471008, -1944620216, -302114152032, -8459938729707165, 60640970730584573, 1779197418239532716881], 'euler61': [1, 224, -410950, 1604736, 149727814859, 364244582016, -21172297843652950, 2619488724794847584, 2654348974297586158321], 'euler67': [1, 687, -206863, 53109222, 228403689708, 15973288936386, -18712492310625847, 18690889130254628589, 8182718904632857144561], 'euler7': [1, 0, -659, 0, 117649, 0, 0, 0, 0], 'euler71': [1, 944, 1496820, 939212976, 821466188614, 336154655453136, 191743066978631220, 43280984678215885264, 16409682740640811134241], 'euler73': [1, -921, 270053, 184058166, -147013032042, 71601755562822, 40868261812023317, -54220731358314747873, 22902048046490258711521], 'euler79': [1, -526, -757051, -25063374, 689091996644, -12357220853586, -184029601289628571, -63041939486857235794, 59091511031674153381441], 'euler83': [1, -442, 1940097, -670697430, 1603946358856, -383496071407410, 634296037552076793, -82627592828252858126, 106890007738661124410161], 'euler89': [1, -774, -367486, 343173024, 14930800239, 241926343556256, -182633666690094046, -271175856469593551766, 246990403565262140303521], 'euler97': [1, -3906, 8548193, -12810371490, 14230846279236, -11691680178892770, 7120405461730043297, -2969462515104731737602, 693842360995438000295041], 'euler_factors': [[1, -4, 12, -16, 16, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -5, 105, 1650, -12350, 206250, 1640625, -9765625, 244140625], [1, 0, -659, 0, 117649, 0, 0, 0, 0], [1, -67, 1041, -52662, 4142284, -70093122, 1844195001, -157982495297, 3138428376721], [1, -82, 10637, -547350, 37092416, -1202527950, 51342767333, -869568948586, 23298085122481], [1, 92, 1902, -300288, -22661357, -1475314944, 45909656238, 10910084637724, 582622237229761], [1, 43, -9305, -110252, 64683544, -756218468, -437761922705, 13875571004497, 2213314919066161], [1, -148, -2526, -14208, 182283043, -172868736, -373938655614, -266570593896524, 21914624432020321], [1, 154, 25077, 5230302, 1570512880, 127561835478, 14916384420717, 2234100480283826, 353814783205469041], [1, -520, 144563, -34452600, 6891960488, -1026377406600, 128300194636403, -13748603523548920, 787662783788549761], [1, 7, -74033, -190568, 2919934318, -9652840904, -189948423237497, 909732178565539, 6582952005840035281], [1, -852, 523688, -204503004, 63792486510, -14094551538684, 2487572589760808, -278929408103654772, 22563490300366186081], [1, 214, 183889, 35465578, 21897165784, 2819761710046, 1162429129717561, 107554818954484402, 39959630797262576401], [1, -576, 89606, -19885824, 13421113923, -2064605905152, 965882368770374, -644619152507193792, 116191483108948578241], [1, 243, -250441, 2851848, 64828660998, 424574574696, -5550864765507889, 801842552807918319, 491258904256726154641], [1, 7, -200565, -1471008, -1944620216, -302114152032, -8459938729707165, 60640970730584573, 1779197418239532716881], [1, 224, -410950, 1604736, 149727814859, 364244582016, -21172297843652950, 2619488724794847584, 2654348974297586158321], [1, 687, -206863, 53109222, 228403689708, 15973288936386, -18712492310625847, 18690889130254628589, 8182718904632857144561], [1, 944, 1496820, 939212976, 821466188614, 336154655453136, 191743066978631220, 43280984678215885264, 16409682740640811134241], [1, -921, 270053, 184058166, -147013032042, 71601755562822, 40868261812023317, -54220731358314747873, 22902048046490258711521], [1, -526, -757051, -25063374, 689091996644, -12357220853586, -184029601289628571, -63041939486857235794, 59091511031674153381441], [1, -442, 1940097, -670697430, 1603946358856, -383496071407410, 634296037552076793, -82627592828252858126, 106890007738661124410161], [1, -774, -367486, 343173024, 14930800239, 241926343556256, -182633666690094046, -271175856469593551766, 246990403565262140303521], [1, -3906, 8548193, -12810371490, 14230846279236, -11691680178892770, 7120405461730043297, -2969462515104731737602, 693842360995438000295041]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/126/4/g/g'], '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': '8-126e4-1.1-c3e4-0-2', 'motivic_weight': 3, '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': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-126e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.726580396893391, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 1470121502950902066, 'z1': {'__RealLiteral__': 0, 'data': '0.837399872145892182213605439823', 'prec': 107}}
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{'Lhash': '1061530450556782783951659021989,1215145855842650797202813275329,2311760432510265945719498350363,3288687135774738426175190525117', 'Lhash_array': ['1061530450556782783951659021989', '1215145855842650797202813275329', '2311760432510265945719498350363', '3288687135774738426175190525117'], 'label': '8-126e4-1.1-c3e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/126/4/g/g'}