0132_0213_0321_1023_2103<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 19, 56, 160, 456, 1305, 3743, 10739, 30805, 88354, 253411, 726828, 2084693, 5979343, 17150020, 49189864, 141086869, 404666824, 1160669646, 3329044948, 9548401919, 27386827325, 78551187667, 225301347009, 646211705844, 1853471247987, 5316145832920, 15247825693425, 43733974891825, 125438249249570, 359783312944906, 1031934302719655, 2959804879257772, 8489343653167836, 24349225236650888, 69838705304848917, 200312113065347415, 574537320896167687, 1647894019244166057, 4726507051665422586, 13556617506075745347, 38883233685493479872, 111525302027817470669, 319878050601440231751, 917477607288215682116, 2631518975098816410020, 7547750551398193553265, 21648537945272655405772, 62092565457279530917242, 178094552842930324885372, 510812679726455483150251, 1465118329584442959659429, 4202267885820328040678583, 12052989187027340038299133, 34570511040668417491102580, 99155505333007981467231403, 284398868916867393677133732, 815715843205615625474776617, 2339644807276463769192500801, 6710593976824253387777656898, 19247396605560367181585341246, 55205586475827241008031411771, 158341246901911092893998216240, 454156038744922558569089176008, 1302615152805078621784507965704, 3736174555790531222362613623633, 10716135369127996914041478408799, 30736132783597461777656445240667, 88157701069411597171203394357021, 252854850431645584653082650757522, 725240955823810857202958064719379, 2080143778560505736211610081620580, 5966290382165308810626365510054645, 17112577164714894527661205846153295, 49082474780927934544055642273818372, 140778873189704241912129231449134032, 403783452750100780091118668458747149, 1158135968989392060273979407477311136, 3321777832974021788514345024445257718, 9527558306704017029926361357163511620, 27327043484534753939245545903762347959, 78379715092396170567446692063780387709, 224809527654974117593764957392384344603, 644801064470257686457769474468198682041, 1849425231567929726944309596966511608436, 5304541005945966170176044149569969569843, 15214540606168172695343702477407001953952, 43638506252900506555330717383021355490385, 125164425090324503135100383447367670266849, 358997927596345673780853729693606526348162, 1029681652158475278119754094410672461454690, 2953343803098321167216524812850880758690959, 8470811926205752137563951868917252878658628, 24296072341416048338755030911654911225611748, 69686251608672984970881226930243932136784456, 199874843761855779246293565569811662469379725, 573283140455988912024951196382417308210252919, 1644296765643308683365811884285567417134004527<br /><br />


Generating function in Maple syntax:<br />
-(2*x-1)*(x-1)^2/(2*x^5+x^4-6*x^3+8*x^2-5*x+1)<br /><br />



Generating function in latex syntax:<br />
-\frac{\left(2 x -1\right) \left(x -1\right)^{2}}{2 x^{5}+x^{4}-6 x^{3}+8 x^{2}-5 x +1}<br /><br />



Generating function in sympy syntax:<br />
(1 - 2*x)*(x - 1)**2/(2*x**5 + x**4 - 6*x**3 + 8*x**2 - 5*x + 1)<br /><br />



Implicit equation for the generating function in Maple syntax:<br />
(2*x^5+x^4-6*x^3+8*x^2-5*x+1)*F(x)+(2*x-1)*(x-1)^2 = 0<br /><br />



Implicit equation for the generating function in latex syntax:<br />
\left(2 x^{5}+x^{4}-6 x^{3}+8 x^{2}-5 x +1\right) F \! \left(x \right)+\left(2 x -1\right) \left(x -1\right)^{2} = 0<br /><br />



Explicit closed form in Maple syntax:<br />
-1962944742/8347197769*((((-1+77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-2563/13358+15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+4688/6679-54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^3+((-1+77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^3+(-20439/146938-19253/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-145995/146938-60979/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+81156/73469+24214/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-2563/13358+15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^3+(-145995/146938-60979/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-4548465/587752+3208307/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)-1130343/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+1860301/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(4688/6679-54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^3+(81156/73469+24214/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-1130343/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+1860301/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+1749557/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-3351039/587752)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n+1)+(((54708/73469-77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2-15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-35725/73469+120381/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)-611/13358-35725/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-35725/73469+120381/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-645127/73469+3370057/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+120381/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)-645127/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+2072183/293876-35725/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(-611/13358-35725/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-645127/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+2072183/293876-35725/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+2072183/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-755423/146938-611/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n+1)+(((-77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+1)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-81223/146938+RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^4+((34904/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-3877/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+297559/146938-3877/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^3+((536249/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-962851/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+1651017/587752-962851/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((75624/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-633245/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+15425/13358-633245/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(2368373/293876-1510159/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+2368373/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-2022111/587752)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n+1)+(((-1+77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-2563/13358+15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+4688/6679-54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-2563/13358+15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-120381/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-327169/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+117465/146938+35725/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(4688/6679-54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(117465/146938+35725/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+611/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-329347/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n+2)+(((-77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+1)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-81223/146938+RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^3+((34904/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-3877/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+297559/146938-3877/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((1577/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-35179/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+496953/587752-35179/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(-4077/13358+11511/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-4077/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-440091/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n+2)+(((-77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+1)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-81223/146938+RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-15651/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+2563/13358)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+470069/293876+2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(-4688/6679+54708/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-4688/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-55372/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n+3)+(((1360791/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-2097911/146938)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+3018157/293876-2097911/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(3018157/293876-2097911/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+3018157/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-7432839/587752)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+1)+(((-267336/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+231918/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-144258/73469+231918/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(-144258/73469+231918/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-144258/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+397233/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+2)+(((-50555/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+35947/146938)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-125049/293876+35947/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(-125049/293876+35947/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-125049/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-1119317/587752)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+3)+(((77130/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-1)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+81223/146938-RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(81223/146938-RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+81223/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-676341/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n+4)+(((81223/146938-RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-470069/293876-2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+55372/73469+4688/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^3-(RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+1/2)*((-81223/146938+RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(470069/293876+2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)-55372/73469-4688/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-470069/293876-2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^3+(-2463/53432+16189/26716*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(3544573/293876-1009851/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+368540/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-581972/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(55372/73469+4688/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^3+(27686/73469+2344/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(368540/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-581972/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)-301794/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+513580/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^(-n)+(((-4688/6679+RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2+2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(-117465/146938+327169/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+329347/293876-117465/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-4688/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-117465/146938+327169/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+2563/13358*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(843021/146938-422905/53432*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+327169/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+843021/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-2085005/587752-117465/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(329347/293876-117465/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-4688/6679*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^2+(843021/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-2085005/587752-117465/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)-2085005/587752*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+978845/293876+329347/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)^2)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)^(-n)+(((-81223/146938+RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-81223/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+676341/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^4+((1/2*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-81223/293876)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+676341/587752-81223/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^3+((-3*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+243669/146938)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-2029023/293876+243669/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^2+((-572999/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+1011811/146938)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+782763/293876+1011811/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+(-415856/73469+523244/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-415856/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+190526/73469)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)^(-n)+(((-866875/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+1336703/146938)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-1922601/293876+1336703/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(-1922601/293876+1336703/146938*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3))*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-1922601/293876*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+4743467/587752)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)^(-n)+91363/73469*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 5)^(-n))*((((RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-8942/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-8942/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+7661/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(-8942/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+7661/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+7661/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-5552/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 1)+((-8942/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)+7661/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)+7661/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-5552/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 2)+(7661/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-5552/13359)*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 4)-5552/13359*RootOf(2*_Z^5+_Z^4-6*_Z^3+8*_Z^2-5*_Z+1,index = 3)-5195/13359)<br /><br />



Explicit closed form in latex syntax:<br />
-\frac{1962944742 \left(\left(\left(\left(-1+\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{2563}{13358}+\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{4688}{6679}-\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(-1+\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(-\frac{20439}{146938}-\frac{19253 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{145995}{146938}-\frac{60979 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{81156}{73469}+\frac{24214 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{2563}{13358}+\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(-\frac{145995}{146938}-\frac{60979 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{4548465}{587752}+\frac{3208307 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{1130343 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{146938}+\frac{1860301}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{4688}{6679}-\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(\frac{81156}{73469}+\frac{24214 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{1130343 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{146938}+\frac{1860301}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{1749557 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{293876}-\frac{3351039}{587752}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +1}+\left(\left(\left(\frac{54708}{73469}-\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}-\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{35725}{73469}+\frac{120381 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{611}{13358}-\frac{35725 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{35725}{73469}+\frac{120381 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{645127}{73469}+\frac{3370057 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}+\frac{120381 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{645127 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{2072183}{293876}-\frac{35725 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{611}{13358}-\frac{35725 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{645127 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{2072183}{293876}-\frac{35725 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{2072183 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}-\frac{755423}{146938}-\frac{611 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +1}+\left(\left(\left(-\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{81223}{146938}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{4}+\left(\left(\frac{34904 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}-\frac{3877}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{297559}{146938}-\frac{3877 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(\frac{536249 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{962851}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{1651017}{587752}-\frac{962851 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(\frac{75624 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{6679}-\frac{633245}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{15425}{13358}-\frac{633245 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{2368373}{293876}-\frac{1510159 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{2368373 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}-\frac{2022111}{587752}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +1}+\left(\left(\left(-1+\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{2563}{13358}+\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{4688}{6679}-\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{2563}{13358}+\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{120381 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{146938}-\frac{327169}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{117465}{146938}+\frac{35725 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{4688}{6679}-\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{117465}{146938}+\frac{35725 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{611 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{13358}-\frac{329347}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +2}+\left(\left(\left(-\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{81223}{146938}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(\frac{34904 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}-\frac{3877}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{297559}{146938}-\frac{3877 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(\frac{1577 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{35179}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{496953}{587752}-\frac{35179 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{4077}{13358}+\frac{11511 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{4077 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13358}-\frac{440091}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +2}+\left(\left(\left(-\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{81223}{146938}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{15651 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{2563}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{470069}{293876}+\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{4688}{6679}+\frac{54708 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{4688 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{6679}-\frac{55372}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +3}+\left(\left(\left(\frac{1360791 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}-\frac{2097911}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{3018157}{293876}-\frac{2097911 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{3018157}{293876}-\frac{2097911 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{3018157 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}-\frac{7432839}{587752}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +1}+\left(\left(\left(-\frac{267336 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{231918}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{144258}{73469}+\frac{231918 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\frac{144258}{73469}+\frac{231918 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{144258 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{397233}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +2}+\left(\left(\left(-\frac{50555 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{35947}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{125049}{293876}+\frac{35947 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\frac{125049}{293876}+\frac{35947 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{125049 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}-\frac{1119317}{587752}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +3}+\left(\left(\left(\frac{77130 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}-1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{81223}{146938}-\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{81223}{146938}-\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{81223 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{676341}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +4}+\left(\left(\left(\frac{81223}{146938}-\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{470069}{293876}-\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{55372}{73469}+\frac{4688 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{6679}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{3}-\left(\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{1}{2}\right) \left(\left(-\frac{81223}{146938}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{470069}{293876}+\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{55372}{73469}-\frac{4688 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{6679}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{470069}{293876}-\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(-\frac{2463}{53432}+\frac{16189 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{26716}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{3544573}{293876}-\frac{1009851 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{368540 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}-\frac{581972}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{55372}{73469}+\frac{4688 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{6679}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(\frac{27686}{73469}+\frac{2344 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{6679}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{368540 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}-\frac{581972}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{301794 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)}{73469}+\frac{513580}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{-n}+\left(\left(\left(-\frac{4688}{6679}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}+\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{117465}{146938}+\frac{327169 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}+\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{329347}{293876}-\frac{117465 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{4688 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{6679}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{117465}{146938}+\frac{327169 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}+\frac{2563 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{13358}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{843021}{146938}-\frac{422905 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{53432}+\frac{327169 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{843021 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{2085005}{587752}-\frac{117465 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{329347}{293876}-\frac{117465 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{4688 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{6679}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{843021 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}-\frac{2085005}{587752}-\frac{117465 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{2085005 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{587752}+\frac{978845}{293876}+\frac{329347 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)^{-n}+\left(\left(\left(-\frac{81223}{146938}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{81223 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}+\frac{676341}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{4}+\left(\left(\frac{\mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{2}-\frac{81223}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{676341}{587752}-\frac{81223 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(-3 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)+\frac{243669}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{2029023}{293876}+\frac{243669 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{572999 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{1011811}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{782763}{293876}+\frac{1011811 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{415856}{73469}+\frac{523244 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{415856 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{190526}{73469}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)^{-n}+\left(\left(\left(-\frac{866875 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{73469}+\frac{1336703}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{1922601}{293876}+\frac{1336703 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\frac{1922601}{293876}+\frac{1336703 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{146938}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{1922601 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{293876}+\frac{4743467}{587752}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)^{-n}+\frac{91363 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =5\right)^{-n}}{73469}\right) \left(\left(\left(\left(\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)-\frac{8942}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{8942 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}+\frac{7661}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\frac{8942 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}+\frac{7661}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{7661 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}-\frac{5552}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\left(-\frac{8942 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}+\frac{7661}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{7661 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}-\frac{5552}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{7661 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}-\frac{5552}{13359}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{5552 \mathit{RootOf}\left(2 \textit{\_Z}^{5}+\textit{\_Z}^{4}-6 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-5 \textit{\_Z} +1, \mathit{index} =3\right)}{13359}-\frac{5195}{13359}\right)}{8347197769}<br /><br />



  
    Recurrence in maple format:<br />
    
      a(0) = 1<br />
    
      a(1) = 1<br />
    
      a(2) = 2<br />
    
      a(3) = 6<br />
    
      a(4) = 19<br />
    
    a(n+5) = -2*a(n)-a(n+1)+6*a(n+2)-8*a(n+3)+5*a(n+4), n >= 5<br /><br />

    Recurrence in latex format:<br />
    
      a \! \left(0\right) = 1<br />
    
      a \! \left(1\right) = 1<br />
    
      a \! \left(2\right) = 2<br />
    
      a \! \left(3\right) = 6<br />
    
      a \! \left(4\right) = 19<br />
    
    a \! \left(n +5\right) = -2 a \! \left(n \right)-a \! \left(n +1\right)+6 a \! \left(n +2\right)-8 a \! \left(n +3\right)+5 a \! \left(n +4\right), \quad n \geq 5<br /><br />
  



  Specification 1<br />
  Strategy pack name: point_placements<br />
  Tree: http://permpal.com/tree/18235/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[4,x]*F[5,x]<br />
  
    F[4,x] = x<br />
  
    F[5,x] = F[16,x]+F[6,x]<br />
  
    F[6,x] = F[1,x]+F[7,x]<br />
  
    F[7,x] = F[8,x]<br />
  
    F[8,x] = F[4,x]*F[9,x]<br />
  
    F[9,x] = F[10,x]+F[13,x]<br />
  
    F[10,x] = F[1,x]+F[11,x]<br />
  
    F[11,x] = F[12,x]<br />
  
    F[12,x] = F[10,x]*F[4,x]<br />
  
    F[13,x] = F[11,x]+F[14,x]<br />
  
    F[14,x] = F[15,x]<br />
  
    F[15,x] = F[13,x]*F[4,x]<br />
  
    F[16,x] = F[17,x]+F[2,x]<br />
  
    F[17,x] = F[18,x]+F[19,x]+F[66,x]<br />
  
    F[18,x] = 0<br />
  
    F[19,x] = F[20,x]*F[4,x]<br />
  
    F[20,x] = F[21,x]+F[38,x]<br />
  
    F[21,x] = F[22,x]+F[25,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = F[24,x]*F[4,x]<br />
  
    F[24,x] = F[1,x]+F[4,x]<br />
  
    F[25,x] = F[18,x]+F[26,x]+F[36,x]<br />
  
    F[26,x] = F[27,x]*F[4,x]<br />
  
    F[27,x] = F[28,x]+F[31,x]<br />
  
    F[28,x] = F[29,x]+F[4,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[28,x]*F[4,x]<br />
  
    F[31,x] = F[32,x]+F[34,x]<br />
  
    F[32,x] = F[33,x]<br />
  
    F[33,x] = F[11,x]*F[4,x]<br />
  
    F[34,x] = F[35,x]<br />
  
    F[35,x] = F[31,x]*F[4,x]<br />
  
    F[36,x] = F[37,x]*F[4,x]<br />
  
    F[37,x] = F[11,x]+F[29,x]<br />
  
    F[38,x] = F[39,x]+F[44,x]<br />
  
    F[39,x] = F[40,x]<br />
  
    F[40,x] = F[4,x]*F[41,x]<br />
  
    F[41,x] = F[2,x]+F[42,x]<br />
  
    F[42,x] = F[43,x]<br />
  
    F[43,x] = F[2,x]*F[4,x]<br />
  
    F[44,x] = 2*F[18,x]+F[45,x]+F[64,x]<br />
  
    F[45,x] = F[4,x]*F[46,x]<br />
  
    F[46,x] = F[47,x]+F[50,x]<br />
  
    F[47,x] = F[42,x]+F[48,x]<br />
  
    F[48,x] = F[49,x]<br />
  
    F[49,x] = F[4,x]*F[47,x]<br />
  
    F[50,x] = F[51,x]+F[62,x]<br />
  
    F[51,x] = F[52,x]<br />
  
    F[52,x] = F[4,x]*F[53,x]<br />
  
    F[53,x] = F[18,x]+F[54,x]+F[60,x]<br />
  
    F[54,x] = F[4,x]*F[55,x]<br />
  
    F[55,x] = F[56,x]+F[58,x]<br />
  
    F[56,x] = F[4,x]+F[57,x]<br />
  
    F[57,x] = F[18,x]+F[26,x]+F[33,x]<br />
  
    F[58,x] = F[42,x]+F[59,x]<br />
  
    F[59,x] = 2*F[18,x]+F[45,x]+F[52,x]<br />
  
    F[60,x] = F[4,x]*F[61,x]<br />
  
    F[61,x] = F[2,x]+F[53,x]<br />
  
    F[62,x] = F[63,x]<br />
  
    F[63,x] = F[4,x]*F[50,x]<br />
  
    F[64,x] = F[4,x]*F[65,x]<br />
  
    F[65,x] = F[48,x]+F[53,x]<br />
  
    F[66,x] = F[4,x]*F[67,x]<br />
  
    F[67,x] = F[61,x]+F[68,x]<br />
  
    F[68,x] = F[53,x]+F[69,x]<br />
  
    F[69,x] = 2*F[18,x]+F[70,x]+F[82,x]<br />
  
    F[70,x] = F[4,x]*F[71,x]<br />
  
    F[71,x] = F[72,x]+F[77,x]<br />
  
    F[72,x] = F[73,x]+F[75,x]<br />
  
    F[73,x] = F[74,x]<br />
  
    F[74,x] = x^2<br />
  
    F[75,x] = F[76,x]<br />
  
    F[76,x] = F[29,x]*F[4,x]<br />
  
    F[77,x] = F[78,x]+F[80,x]<br />
  
    F[78,x] = F[79,x]<br />
  
    F[79,x] = F[4,x]*F[42,x]<br />
  
    F[80,x] = F[81,x]<br />
  
    F[81,x] = F[4,x]*F[48,x]<br />
  
    F[82,x] = F[4,x]*F[68,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = x<br />
  
    F_{5}\! \left(x \right) = F_{16}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{13}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{11}\! \left(x \right)+F_{14}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = 0<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{18}\! \left(x \right)+F_{26}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{11}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{2}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{45}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{42}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{18}\! \left(x \right)+F_{54}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{4}\! \left(x \right) F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{4}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{18}\! \left(x \right)+F_{26}\! \left(x \right)+F_{33}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{42}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{45}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{2}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{48}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{61}\! \left(x \right)+F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{53}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{70}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{4}\! \left(x \right) F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = x^{2}<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_4(x)*F_5(x))<br />
  
    Eq(F_4(x), x)<br />
  
    Eq(F_5(x), F_16(x) + F_6(x))<br />
  
    Eq(F_6(x), F_1(x) + F_7(x))<br />
  
    Eq(F_7(x), F_8(x))<br />
  
    Eq(F_8(x), F_4(x)*F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_13(x))<br />
  
    Eq(F_10(x), F_1(x) + F_11(x))<br />
  
    Eq(F_11(x), F_12(x))<br />
  
    Eq(F_12(x), F_10(x)*F_4(x))<br />
  
    Eq(F_13(x), F_11(x) + F_14(x))<br />
  
    Eq(F_14(x), F_15(x))<br />
  
    Eq(F_15(x), F_13(x)*F_4(x))<br />
  
    Eq(F_16(x), F_17(x) + F_2(x))<br />
  
    Eq(F_17(x), F_18(x) + F_19(x) + F_66(x))<br />
  
    Eq(F_18(x), 0)<br />
  
    Eq(F_19(x), F_20(x)*F_4(x))<br />
  
    Eq(F_20(x), F_21(x) + F_38(x))<br />
  
    Eq(F_21(x), F_22(x) + F_25(x))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_24(x)*F_4(x))<br />
  
    Eq(F_24(x), F_1(x) + F_4(x))<br />
  
    Eq(F_25(x), F_18(x) + F_26(x) + F_36(x))<br />
  
    Eq(F_26(x), F_27(x)*F_4(x))<br />
  
    Eq(F_27(x), F_28(x) + F_31(x))<br />
  
    Eq(F_28(x), F_29(x) + F_4(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_28(x)*F_4(x))<br />
  
    Eq(F_31(x), F_32(x) + F_34(x))<br />
  
    Eq(F_32(x), F_33(x))<br />
  
    Eq(F_33(x), F_11(x)*F_4(x))<br />
  
    Eq(F_34(x), F_35(x))<br />
  
    Eq(F_35(x), F_31(x)*F_4(x))<br />
  
    Eq(F_36(x), F_37(x)*F_4(x))<br />
  
    Eq(F_37(x), F_11(x) + F_29(x))<br />
  
    Eq(F_38(x), F_39(x) + F_44(x))<br />
  
    Eq(F_39(x), F_40(x))<br />
  
    Eq(F_40(x), F_4(x)*F_41(x))<br />
  
    Eq(F_41(x), F_2(x) + F_42(x))<br />
  
    Eq(F_42(x), F_43(x))<br />
  
    Eq(F_43(x), F_2(x)*F_4(x))<br />
  
    Eq(F_44(x), 2*F_18(x) + F_45(x) + F_64(x))<br />
  
    Eq(F_45(x), F_4(x)*F_46(x))<br />
  
    Eq(F_46(x), F_47(x) + F_50(x))<br />
  
    Eq(F_47(x), F_42(x) + F_48(x))<br />
  
    Eq(F_48(x), F_49(x))<br />
  
    Eq(F_49(x), F_4(x)*F_47(x))<br />
  
    Eq(F_50(x), F_51(x) + F_62(x))<br />
  
    Eq(F_51(x), F_52(x))<br />
  
    Eq(F_52(x), F_4(x)*F_53(x))<br />
  
    Eq(F_53(x), F_18(x) + F_54(x) + F_60(x))<br />
  
    Eq(F_54(x), F_4(x)*F_55(x))<br />
  
    Eq(F_55(x), F_56(x) + F_58(x))<br />
  
    Eq(F_56(x), F_4(x) + F_57(x))<br />
  
    Eq(F_57(x), F_18(x) + F_26(x) + F_33(x))<br />
  
    Eq(F_58(x), F_42(x) + F_59(x))<br />
  
    Eq(F_59(x), 2*F_18(x) + F_45(x) + F_52(x))<br />
  
    Eq(F_60(x), F_4(x)*F_61(x))<br />
  
    Eq(F_61(x), F_2(x) + F_53(x))<br />
  
    Eq(F_62(x), F_63(x))<br />
  
    Eq(F_63(x), F_4(x)*F_50(x))<br />
  
    Eq(F_64(x), F_4(x)*F_65(x))<br />
  
    Eq(F_65(x), F_48(x) + F_53(x))<br />
  
    Eq(F_66(x), F_4(x)*F_67(x))<br />
  
    Eq(F_67(x), F_61(x) + F_68(x))<br />
  
    Eq(F_68(x), F_53(x) + F_69(x))<br />
  
    Eq(F_69(x), 2*F_18(x) + F_70(x) + F_82(x))<br />
  
    Eq(F_70(x), F_4(x)*F_71(x))<br />
  
    Eq(F_71(x), F_72(x) + F_77(x))<br />
  
    Eq(F_72(x), F_73(x) + F_75(x))<br />
  
    Eq(F_73(x), F_74(x))<br />
  
    Eq(F_74(x), x**2)<br />
  
    Eq(F_75(x), F_76(x))<br />
  
    Eq(F_76(x), F_29(x)*F_4(x))<br />
  
    Eq(F_77(x), F_78(x) + F_80(x))<br />
  
    Eq(F_78(x), F_79(x))<br />
  
    Eq(F_79(x), F_4(x)*F_42(x))<br />
  
    Eq(F_80(x), F_81(x))<br />
  
    Eq(F_81(x), F_4(x)*F_48(x))<br />
  
    Eq(F_82(x), F_4(x)*F_68(x))<br />
  
  Pack JSON:<br />{&#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;extra_basis&#34;: [], &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;one_cell_only&#34;: false, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;dirs&#34;: [0, 1, 2, 3], &#34;ignore_parent&#34;: false, &#34;partial&#34;: false, &#34;point_only&#34;: false, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;}]], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;interleaving&#34;: null, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;tracked&#34;: false, &#34;unions&#34;: false, &#34;workable&#34;: true}], &#34;iterative&#34;: false, &#34;name&#34;: &#34;point_placements&#34;, &#34;symmetries&#34;: [], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;}, {&#34;basis&#34;: [], &#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;symmetry&#34;: false}, {&#34;basis&#34;: [], &#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;symmetry&#34;: false}]}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: []}, &#34;rules&#34;: [{&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: []}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: []}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;ignore_parent&#34;: true, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;}}, {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: []}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]], &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;workable&#34;: true}}, {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]], &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;workable&#34;: true}}, {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]]}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;ignore_parent&#34;: true, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;}}, {&#34;children&#34;: [{&#34;assumptions&#34;: [], 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2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]], &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;workable&#34;: true}}, {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]], &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;workable&#34;: true}}, {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]]}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: []}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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