Group GAP4(80,31)

x^80-600*x^78+163980*x^76-27144000*x^74+3052966500*x^72-248137560000*x^70+15\
135805000800*x^68-710484909678000*x^66+26117419175532000*x^64-76137041949012\
0000*x^62+17765851408709565600*x^60-334159663171826520000*x^58+5094363222832\
903956000*x^56-63234711354204248400000*x^54+641595446638138226340000*x^52-53\
40570828121383912000000*x^50+36597502805866729587360000*x^48-207166306874857\
125699600000*x^46+971810464997849294761200000*x^44-3788846732686273037172000\
000*x^42+12308008598970956318795760000*x^40-33380227621642567608648000000*x^\
38+75684109037527686567074400000*x^36-143553407273252945186400000000*x^34+22\
7740867201481039954892000000*x^32-301866003735203961576000000000*x^30+333587\
860124409728293824000000*x^28-306331162456388105172240000000*x^26+2326595353\
72262021030400000000*x^24-145229884798168594800000000000*x^22+73892932154038\
057010976000000*x^20-30319863545497559054400000000*x^18+98968946158953377755\
20000000*x^16-2525484613541681232000000000*x^14+492675840092674418400000000*\
x^12-71383185901062720000000000*x^10+7394008674372883200000000*x^8-519595962\
391152000000000*x^6+22929094220976000000000*x^4-557885504160000000000*x^2+55\
78855041600000000

5062703660199790209344047879296549115010128370054060133161864311862899958119\
11696505234295941342738036083958800000000000

x^80-3125*x^70+1266654020*x^60-2031027265625*x^50+415964226360132025*x^40-10\
648432230400000000*x^30+34817520583980351488000*x^20-45035996273704960000000\
0*x^10+755578637259143234191360000

4973733067976150501955418199359084370194123980800000000