Group GAP4(80,52)

x^80-160*x^78+12321*x^76-608152*x^74+21619112*x^72-589640832*x^70+1283488582\
3*x^68-229008184696*x^66+3413852054439*x^64-43121525752704*x^62+466474627461\
248*x^60-4357048026196992*x^58+35360173423231905*x^56-250541551419823728*x^5\
4+1555442986937116113*x^52-8483364132358272744*x^50+40717152989573939416*x^4\
8-172148811549086121216*x^46+641304453677854137407*x^44-21041923468227948599\
44*x^42+6074543358174461939319*x^40-15403270609085546563376*x^38+34226043521\
772129932799*x^36-66437030282283455592888*x^34+112228715122794081401992*x^32\
-164208471869913630030336*x^30+206926909607465339186625*x^28-223050668006737\
811423800*x^26+203984341846532362656937*x^24-156715346172087606847920*x^22+9\
9942161126750112451280*x^20-52134852022036402115200*x^18+2184189873396817632\
1887*x^16-7179304480157199231968*x^14+1795391405600710093919*x^12-3275441556\
71445619944*x^10+41034021087644315352*x^8-3218519678302107520*x^6+1365326971\
08985665*x^4-2591947685530120*x^2+17162965838041

30407337210168151245

x^80+x^76-x^68-x^64+x^56+x^52-x^44-x^40-x^36+x^28+x^24-x^16-x^12+x^4+1

1