Group GAP4(116,5)

x^116-115*x^114+6440*x^112-234026*x^110+6204934*x^108-127960550*x^106+213669\
0921*x^104-29695426227*x^102+350416113570*x^100-3564198799932*x^98+316156690\
56089*x^96-246854242979263*x^94+1709370762686011*x^92-10562230996759007*x^90\
+58532780897420959*x^88-292141453968229563*x^86+1317825566546739081*x^84-538\
8379431390613857*x^82+20018984453354244223*x^80-67712819786704020039*x^78+20\
8853870378441958819*x^76-588178660052575663911*x^74+1513882365377802733692*x\
^72-3563623339831320209334*x^70+7675327883277179280693*x^68-1512831134818334\
6355339*x^66+27286875324578645049132*x^64-45026660226330021244134*x^62+67939\
677241115466494046*x^60-93670447646602889675718*x^58+11789500439716878688906\
2*x^56-135296960963498262713982*x^54+141370919579495851398024*x^52-134269871\
803085782833876*x^50+115688541522203607310038*x^48-90221977664741791405026*x\
^46+63521340255751419715842*x^44-40256017813810793717674*x^42+22887049517572\
579380188*x^40-11629045311419406305456*x^38+5257960997810353306642*x^36-2105\
118047585225333654*x^34+742146268171805020188*x^32-228914826821215545864*x^3\
0+61323947756850156504*x^28-14146735892868772760*x^26+2782511478261117456*x^\
24-461206186122800832*x^22+63531686494751244*x^20-7152178944251748*x^18+6446\
25109254192*x^16-45333204357672*x^14+2406577984344*x^12-92291234904*x^10+240\
5035105*x^8-38887927*x^6+336110*x^4-1160*x^2+1

1

x^116-x^115+x^113-x^112+x^110-x^109+x^107-x^106+x^104-x^103+x^101-x^100+x^98\
-x^97+x^95-x^94+x^92-x^91+x^89-x^88+x^86-x^85+x^83-x^82+x^80-x^79+x^77-x^76+\
x^74-x^73+x^71-x^70+x^68-x^67+x^65-x^64+x^62-x^61+x^59-x^58+x^57-x^55+x^54-x\
^52+x^51-x^49+x^48-x^46+x^45-x^43+x^42-x^40+x^39-x^37+x^36-x^34+x^33-x^31+x^\
30-x^28+x^27-x^25+x^24-x^22+x^21-x^19+x^18-x^16+x^15-x^13+x^12-x^10+x^9-x^7+\
x^6-x^4+x^3-x+1

1