0132_0213_0231_0321_1203

Counting sequence:
1, 1, 2, 6, 19, 60, 188, 585, 1811, 5587, 17199, 52879, 162468, 499005, 1532415, 4705701, 14450008, 44372632, 136259720, 418431641, 1284946644, 3945918067, 12117485730, 37211555793, 114272992057, 350921191570, 1077644928189, 3309343256574, 10162672876946, 31208584398714, 95838538867110, 294310861588459, 903800111151379, 2775482458281382, 8523237316596088, 26174034684298921, 80377920393422630, 246832792864473336, 757999551554915153, 2327743058087346631, 7148273021197678669, 21951652700538998171, 67411395014432324969, 207013851755254678616, 635719447881497469363, 1952232727394465963185, 5995117240229079347953, 18410423214365995293970, 56536622946839809379172, 173618482151065796262168, 533165508891425724262209, 1637299533722171400408664, 5027987967002408165878889, 15440463076934625698468652, 47416163601580866326975653, 145610436648776763556613825, 447155519354158976616813088, 1373171203182177237388909669, 4216875497751192467435594946, 12949615402890957123910815448, 39767012133087263860437793724, 122120634844495943415269162608, 375020617714809411818700847557, 1151651920990123780022743364129, 3536611280739904871262148957874, 10860590012565101442735142741470, 33351817900765071020579168173891, 102420195956101222160695523558888, 314522481829859766853970082177944, 965868017073653094810663826209713, 2966086942269651079208239420642163, 9108565138907228717250288322775631, 27971519548995577907030108184568991, 85897821879518166700485913080633647, 263783874548580977296705681216305144, 810054678330009110363897594765025233, 2487599300780929753686616744264122867, 7639176029454116591368169309221385665, 23459168199101197506011211448847842660, 72040828810832732616605406650287584800, 221230393665473183355550327307543612716, 679377068382932416814228573617265481509, 2086301042986486186692837264763640225696, 6406828026042701139858709437627332144251, 19674747080856487523557921756707980267082, 60419238837407637143555804243877049977801, 185541618740483106778661225267803755883813, 569780304208742483258205155231751753464658, 1749740016649818175009155108112887724392161, 5373281777644728489574062043696543792271038, 16500826858409321663723873559533549554804638, 50672437865439804505693127305689986964787422, 155610138889390381012508369877155236197552446, 477863634456995906011646058301360842383925727, 1467472844419000339972894105081111906193917891, 4506466685949478949454483142081681665955159566, 13838921836821374787270808107358762146695722920, 42497985883878902094651275142570639292822950049, 130507190190273079285855683016098796282391491706, 400774915260655717418767836766680684403040541244, 1230740869280910239906729558014715230784399402585

Generating function in Maple syntax:
(2*x-1)^3/(x^5-6*x^4+17*x^3-17*x^2+7*x-1)

Generating function in latex syntax:
\frac{\left(2 x -1\right)^{3}}{x^{5}-6 x^{4}+17 x^{3}-17 x^{2}+7 x -1}

Generating function in sympy syntax:
(2*x - 1)**3/(x**5 - 6*x**4 + 17*x**3 - 17*x**2 + 7*x - 1)

Implicit equation for the generating function in Maple syntax:
(x^5-6*x^4+17*x^3-17*x^2+7*x-1)*F(x)-(2*x-1)^3 = 0

Implicit equation for the generating function in latex syntax:
\left(x^{5}-6 x^{4}+17 x^{3}-17 x^{2}+7 x -1\right) F \! \left(x \right)-\left(2 x -1\right)^{3} = 0

Explicit closed form in Maple syntax:
-1457325/3157729*((((-1+688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(106/127-599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-77/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^3+((-1+688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^3+(8378/1143-5108/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-712/127+12124/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-853/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+1508/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((106/127-599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^3+(-712/127+12124/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(5446/1905-3521/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+2138/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-727/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-77/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^3+(-853/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+1508/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(2138/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-727/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+493/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+142/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+1)+(((-388/1143-688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2+599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-2296/1905+7534/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+4216/5715-2296/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((-2296/1905+7534/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(17096/1905+7534/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2-10588/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+17096/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-2851/635-2296/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(4216/5715-2296/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(17096/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-2851/635-2296/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-2851/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+11194/5715+4216/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n+1)+(((-688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-566/1143+RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^4+((1503/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-7424/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+402/127-7424/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^3+((-13982/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+7609/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-10954/1143+7609/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((54157/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-85882/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+13328/1905-85882/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(2346/635-37772/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+2346/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-10228/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+1)+(((-1+688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(106/127-599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-77/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((106/127-599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-7534/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+1541/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-1202/1905+2296/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-77/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-1202/1905+2296/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-4216/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+614/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n+2)+(((-688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-566/1143+RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^3+((1503/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-7424/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+402/127-7424/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((-22718/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+12221/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-17806/5715+12221/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(-11146/5715+2187/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-11146/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1834/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+2)+(((-688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-566/1143+RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((599/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-106/127)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+151/381-106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(77/381-388/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+77/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-122/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n+3)+(((-12236/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+59383/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-26996/5715+59383/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(-26996/5715+59383/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-26996/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+8642/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+1)+(((47192/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-8608/635)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+36964/5715-8608/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(36964/5715-8608/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+36964/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-4456/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+2)+(((-3910/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+6470/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-1055/381+6470/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(-1055/381+6470/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-1055/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1210/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+3)+(((688/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-1)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+566/1143-RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(566/1143-RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+566/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-74/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n+4)+(((566/1143-RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-151/381+106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-77/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+122/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^3-(RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-6)*((-566/1143+RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(151/381-106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+77/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-122/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((-151/381+106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^3+(2840/1143-1985/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-2786/1905+5953/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-4253/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+2386/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(-77/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+122/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^3+(154/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-244/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-4253/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+2386/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+149/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-299/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^(-n)+(((77/381+RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2-106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(1202/1905-1541/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-614/1905+1202/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+77/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((1202/1905-1541/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-106/127*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-27731/5715-1541/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2+17603/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)-27731/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1377/635+1202/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(-614/1905+1202/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+77/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^2+(-27731/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1377/635+1202/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+1377/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-2596/5715-614/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)^2)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)^(-n)+(((-566/1143+RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-566/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+74/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^4+((-6*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+1132/381)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-148/127+1132/381*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^3+((17*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-9622/1143)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+1258/381-9622/1143*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^2+((-23387/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+11269/1905)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-4253/1905+11269/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+(-7984/5715+15382/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-7984/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+3328/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)^(-n)+(((8998/1905*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-14303/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+679/635-14303/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(679/635-14303/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3))*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+679/635*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-1612/5715)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)^(-n)-1777/5715*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 5)^(-n))*((((RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+20/51)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)+20/51*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-9/17)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(20/51*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-9/17)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-9/17*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-262/255)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 1)+((20/51*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-9/17)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-9/17*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-262/255)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 2)+(-9/17*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)-262/255)*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 4)-262/255*RootOf(_Z^5-6*_Z^4+17*_Z^3-17*_Z^2+7*_Z-1,index = 3)+651/85)

Explicit closed form in latex syntax:
-\frac{1457325 \left(\left(\left(\left(-1+\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{106}{127}-\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1143}-\frac{77}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{3}+\left(\left(-1+\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{3}+\left(\frac{8378}{1143}-\frac{5108 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{712}{127}+\frac{12124 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{853 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}+\frac{1508}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(\frac{106}{127}-\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{3}+\left(-\frac{712}{127}+\frac{12124 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{5446}{1905}-\frac{3521 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{635}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{2138 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{5715}-\frac{727}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1143}-\frac{77}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{3}+\left(-\frac{853 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}+\frac{1508}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{2138 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{5715}-\frac{727}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{493 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1905}+\frac{142}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +1}+\left(\left(\left(-\frac{388}{1143}-\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{381}+\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{2296}{1905}+\frac{7534 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{4216}{5715}-\frac{2296 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{2296}{1905}+\frac{7534 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{17096}{1905}+\frac{7534 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{5715}-\frac{10588 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{17096 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{2851}{635}-\frac{2296 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(\frac{4216}{5715}-\frac{2296 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{17096 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{2851}{635}-\frac{2296 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{2851 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}+\frac{11194}{5715}+\frac{4216 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n +1}+\left(\left(\left(-\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}+1\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{566}{1143}+\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{4}+\left(\left(\frac{1503 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{127}-\frac{7424}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{402}{127}-\frac{7424 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{3}+\left(\left(-\frac{13982 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}+\frac{7609}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{10954}{1143}+\frac{7609 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(\frac{54157 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{85882}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{13328}{1905}-\frac{85882 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(\frac{2346}{635}-\frac{37772 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{2346 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}-\frac{10228}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +1}+\left(\left(\left(-1+\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{106}{127}-\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1143}-\frac{77}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(\frac{106}{127}-\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{7534 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{5715}+\frac{1541}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{1202}{1905}+\frac{2296 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1143}-\frac{77}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{1202}{1905}+\frac{2296 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{4216 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{5715}+\frac{614}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n +2}+\left(\left(\left(-\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}+1\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{566}{1143}+\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{3}+\left(\left(\frac{1503 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{127}-\frac{7424}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{402}{127}-\frac{7424 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{22718 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}+\frac{12221}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{17806}{5715}+\frac{12221 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(-\frac{11146}{5715}+\frac{2187 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{11146 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{1834}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +2}+\left(\left(\left(-\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}+1\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{566}{1143}+\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(\frac{599 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}-\frac{106}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{151}{381}-\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(\frac{77}{381}-\frac{388 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{77 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}-\frac{122}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n +3}+\left(\left(\left(-\frac{12236 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}+\frac{59383}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{26996}{5715}+\frac{59383 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(-\frac{26996}{5715}+\frac{59383 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{26996 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{8642}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +1}+\left(\left(\left(\frac{47192 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{8608}{635}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{36964}{5715}-\frac{8608 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(\frac{36964}{5715}-\frac{8608 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{36964 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}-\frac{4456}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +2}+\left(\left(\left(-\frac{3910 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}+\frac{6470}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{1055}{381}+\frac{6470 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(-\frac{1055}{381}+\frac{6470 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{1055 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}+\frac{1210}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +3}+\left(\left(\left(\frac{688 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}-1\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{566}{1143}-\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(\frac{566}{1143}-\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{566 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}-\frac{74}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n +4}+\left(\left(\left(\frac{566}{1143}-\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{151}{381}+\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{77 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}+\frac{122}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{3}-\left(\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-6\right) \left(\left(-\frac{566}{1143}+\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{151}{381}-\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{77 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}-\frac{122}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{151}{381}+\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{3}+\left(\frac{2840}{1143}-\frac{1985 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{2786}{1905}+\frac{5953 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{4253 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{5715}+\frac{2386}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(-\frac{77 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{381}+\frac{122}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{3}+\left(\frac{154 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{127}-\frac{244}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{4253 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{5715}+\frac{2386}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{149 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)}{635}-\frac{299}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{-n}+\left(\left(\left(\frac{77}{381}+\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}-\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(\frac{1202}{1905}-\frac{1541 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{614}{1905}+\frac{1202 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}+\frac{77 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(\frac{1202}{1905}-\frac{1541 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{106 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{127}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{27731}{5715}-\frac{1541 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1905}+\frac{17603 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)-\frac{27731 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{1377}{635}+\frac{1202 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(-\frac{614}{1905}+\frac{1202 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}+\frac{77 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{2}+\left(-\frac{27731 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{1377}{635}+\frac{1202 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\frac{1377 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}-\frac{2596}{5715}-\frac{614 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)^{2}}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)^{-n}+\left(\left(\left(-\frac{566}{1143}+\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{566 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}+\frac{74}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{4}+\left(\left(-6 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)+\frac{1132}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{148}{127}+\frac{1132 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{381}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{3}+\left(\left(17 \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)-\frac{9622}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{1258}{381}-\frac{9622 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1143}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{23387 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}+\frac{11269}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{4253}{1905}+\frac{11269 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(-\frac{7984}{5715}+\frac{15382 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{7984 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}+\frac{3328}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)^{-n}+\left(\left(\left(\frac{8998 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{1905}-\frac{14303}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{679}{635}-\frac{14303 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(\frac{679}{635}-\frac{14303 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{679 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{635}-\frac{1612}{5715}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)^{-n}-\frac{1777 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =5\right)^{-n}}{5715}\right) \left(\left(\left(\left(\mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)+\frac{20}{51}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)+\frac{20 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{51}-\frac{9}{17}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(\frac{20 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{51}-\frac{9}{17}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{9 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{17}-\frac{262}{255}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =1\right)+\left(\left(\frac{20 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{51}-\frac{9}{17}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{9 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{17}-\frac{262}{255}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =2\right)+\left(-\frac{9 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{17}-\frac{262}{255}\right) \mathit{RootOf}\! \left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =4\right)-\frac{262 \mathit{RootOf}\left(\textit{\_Z}^{5}-6 \textit{\_Z}^{4}+17 \textit{\_Z}^{3}-17 \textit{\_Z}^{2}+7 \textit{\_Z} -1, \mathit{index} =3\right)}{255}+\frac{651}{85}\right)}{3157729}

Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(n+5) = a(n)-6*a(n+1)+17*a(n+2)-17*a(n+3)+7*a(n+4), n >= 5

Recurrence in latex format:
a \! \left(0\right) = 1
a \! \left(1\right) = 1
a \! \left(2\right) = 2
a \! \left(3\right) = 6
a \! \left(4\right) = 19
a \! \left(n +5\right) = a \! \left(n \right)-6 a \! \left(n +1\right)+17 a \! \left(n +2\right)-17 a \! \left(n +3\right)+7 a \! \left(n +4\right), \quad n \geq 5

Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18126/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[12,x]*F[4,x]
F[4,x] = F[16,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[12,x]+F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[13,x]
F[16,x] = F[17,x]+F[2,x]
F[17,x] = F[18,x]+F[19,x]+F[54,x]
F[18,x] = 0
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[22,x]+F[6,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[13,x]
F[25,x] = F[17,x]+F[26,x]
F[26,x] = 2*F[18,x]+F[27,x]+F[31,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[22,x]
F[30,x] = F[26,x]
F[31,x] = F[12,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[34,x]+F[48,x]
F[34,x] = F[18,x]+F[35,x]+F[47,x]
F[35,x] = F[12,x]*F[36,x]
F[36,x] = F[37,x]+F[40,x]
F[37,x] = F[12,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = x^2
F[40,x] = F[34,x]+F[41,x]
F[41,x] = 2*F[18,x]+F[42,x]+F[46,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[38,x]
F[45,x] = F[41,x]
F[46,x] = F[12,x]*F[34,x]
F[47,x] = F[12,x]*F[2,x]
F[48,x] = 2*F[18,x]+F[49,x]+F[53,x]
F[49,x] = F[12,x]*F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[14,x]
F[52,x] = F[48,x]
F[53,x] = F[12,x]*F[33,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[33,x]+F[56,x]
F[56,x] = F[2,x]+F[57,x]
F[57,x] = F[18,x]+F[58,x]+F[68,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]+F[62,x]
F[60,x] = F[10,x]+F[61,x]
F[61,x] = F[15,x]
F[62,x] = F[57,x]+F[63,x]
F[63,x] = 2*F[18,x]+F[53,x]+F[64,x]
F[64,x] = F[12,x]*F[65,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[61,x]
F[67,x] = F[63,x]
F[68,x] = F[12,x]*F[56,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{16}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{12}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{2}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{54}\! \left(x \right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{6}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{13}\! \left(x \right)
F_{25}\! \left(x \right) = F_{17}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{27}\! \left(x \right)+F_{31}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{22}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{48}\! \left(x \right)
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{47}\! \left(x \right)
F_{35}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{40}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = x^{2}
F_{40}\! \left(x \right) = F_{34}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{42}\! \left(x \right)+F_{46}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{38}\! \left(x \right)
F_{45}\! \left(x \right) = F_{41}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = F_{14}\! \left(x \right)
F_{52}\! \left(x \right) = F_{48}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{33}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{18}\! \left(x \right)+F_{58}\! \left(x \right)+F_{68}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{62}\! \left(x \right)
F_{60}\! \left(x \right) = F_{10}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{15}\! \left(x \right)
F_{62}\! \left(x \right) = F_{57}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{53}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{61}\! \left(x \right)
F_{67}\! \left(x \right) = F_{63}\! \left(x \right)
F_{68}\! \left(x \right) = F_{12}\! \left(x \right) F_{56}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_12(x)*F_4(x))
Eq(F_4(x), F_16(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_12(x) + F_14(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_13(x))
Eq(F_16(x), F_17(x) + F_2(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_54(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_22(x) + F_6(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_13(x))
Eq(F_25(x), F_17(x) + F_26(x))
Eq(F_26(x), 2*F_18(x) + F_27(x) + F_31(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_22(x))
Eq(F_30(x), F_26(x))
Eq(F_31(x), F_12(x)*F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x) + F_48(x))
Eq(F_34(x), F_18(x) + F_35(x) + F_47(x))
Eq(F_35(x), F_12(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_40(x))
Eq(F_37(x), F_12(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), x**2)
Eq(F_40(x), F_34(x) + F_41(x))
Eq(F_41(x), 2*F_18(x) + F_42(x) + F_46(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_38(x))
Eq(F_45(x), F_41(x))
Eq(F_46(x), F_12(x)*F_34(x))
Eq(F_47(x), F_12(x)*F_2(x))
Eq(F_48(x), 2*F_18(x) + F_49(x) + F_53(x))
Eq(F_49(x), F_12(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_14(x))
Eq(F_52(x), F_48(x))
Eq(F_53(x), F_12(x)*F_33(x))
Eq(F_54(x), F_12(x)*F_55(x))
Eq(F_55(x), F_33(x) + F_56(x))
Eq(F_56(x), F_2(x) + F_57(x))
Eq(F_57(x), F_18(x) + F_58(x) + F_68(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_62(x))
Eq(F_60(x), F_10(x) + F_61(x))
Eq(F_61(x), F_15(x))
Eq(F_62(x), F_57(x) + F_63(x))
Eq(F_63(x), 2*F_18(x) + F_53(x) + F_64(x))
Eq(F_64(x), F_12(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_61(x))
Eq(F_67(x), F_63(x))
Eq(F_68(x), F_12(x)*F_56(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "initial_strats": [{"class_module": "tilings.strategies.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}], "iterative": false, "name": "point_placements", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
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