Group GAP4(81,1)

x^81-81*x^79+3159*x^77-79002*x^75+1423575*x^73-19690290*x^71+217468314*x^69-\
1969809516*x^67+14915235753*x^65-95752130760*x^63+526771581336*x^61-25038753\
08688*x^59+10348141674312*x^57-37365688036656*x^55+118311400286640*x^53-3293\
59817363616*x^51+807564936805020*x^49-1745765378093205*x^47+3328346338128315\
*x^45-5594334252541650*x^43+8281448901713295*x^41-10779028729214130*x^39+123\
07026638440170*x^37-12288575324139660*x^35+10689623271729675*x^33-8063030124\
961812*x^31+5243788822527612*x^29-2920409138472168*x^27+1381487341784004*x^2\
5-549663398587800*x^23+181784104369560*x^21-49257628280784*x^19+107436918826\
71*x^17-1844876383893*x^15+242443079235*x^13-23491379106*x^11+1595093643*x^9\
-70544682*x^7+1813266*x^5-22140*x^3+81*x+1

1