Group GAP4(80,39)

x^80-528*x^78+98880*x^76-9691656*x^74+580287700*x^72-23076683316*x^70+643138\
847424*x^68-13043138986584*x^66+197898617519118*x^64-2294271685561356*x^62+2\
0660044338265752*x^60-146414425812581340*x^58+825252345580488726*x^56-373134\
8310082913916*x^54+13628551238471921328*x^52-40437361870747112160*x^50+97905\
715551838608069*x^48-194102294083764015528*x^46+315913836174725098584*x^44-4\
22855274266591322744*x^42+465961572873102695301*x^40-422855274266591322744*x\
^38+315913836174725098584*x^36-194102294083764015528*x^34+979057155518386080\
69*x^32-40437361870747112160*x^30+13628551238471921328*x^28-3731348310082913\
916*x^26+825252345580488726*x^24-146414425812581340*x^22+20660044338265752*x\
^20-2294271685561356*x^18+197898617519118*x^16-13043138986584*x^14+643138847\
424*x^12-23076683316*x^10+580287700*x^8-9691656*x^6+98880*x^4-528*x^2+1

4616321471932373033478107788979859055538319175916987920004373475494821298489\
2576186079379155

x^80+45*x^76+2080*x^72+14715*x^68+349875*x^64+2232036*x^60+13852785*x^56+608\
52330*x^52+170851575*x^48+311338620*x^44+379088901*x^40+311338620*x^36+17085\
1575*x^32+60852330*x^28+13852785*x^24+2232036*x^20+349875*x^16+14715*x^12+20\
80*x^8+45*x^4+1

9076998028126128510955545