Group GAP4(69,1)

x^69+x^68-68*x^67-67*x^66+2211*x^65+2145*x^64-45760*x^63-43680*x^62+677040*x\
^61+635376*x^60-7624512*x^59-7028847*x^58+67945521*x^57+61474519*x^56-491796\
152*x^55-436270780*x^54+2944827765*x^53+2558620845*x^52-14783142660*x^51-125\
65671261*x^50+62828356305*x^49+52179482355*x^48-227692286640*x^47-1845092667\
60*x^46+707285522580*x^45+558383307300*x^44-1889912732400*x^43-1451182990950\
*x^42+4353548972850*x^41+3245372870670*x^40-8654327655120*x^39-6250347750920\
*x^38+14844575908435*x^37+10363194502115*x^36-21945588357420*x^35-1477106908\
6725*x^34+27900908274925*x^33+18053528883775*x^32-30405943383200*x^31-188516\
84897584*x^30+28277527346376*x^29+16735679449896*x^28-22314239266528*x^27-12\
551759587422*x^26+14833897694226*x^25+7890371113950*x^24-8233430727600*x^23-\
4116715363800*x^22+3773655750150*x^21+1761039350070*x^20-1408831480056*x^19-\
608359048206*x^18+421171648758*x^17+166509721602*x^16-98672427616*x^15-35240\
152720*x^14+17620076360*x^13+5586853480*x^12-2311801440*x^11-635745396*x^10+\
211915132*x^9+48903492*x^8-12620256*x^7-2324784*x^6+435897*x^5+58905*x^4-714\
0*x^3-595*x^2+35*x+1

1