Group GAP4(45,1)

x^45+x^44-88*x^43-83*x^42+3486*x^41+3092*x^40-82393*x^39-68502*x^38+1298642*\
x^37+1008411*x^36-14455343*x^35-10441803*x^34+117428375*x^33+78557259*x^32-7\
09738502*x^31-437535596*x^30+3225742725*x^29+1822257498*x^28-11074210163*x^2\
7-5697019051*x^26+28704796942*x^25+13361047180*x^24-55904143642*x^23-2342303\
5295*x^22+81043444290*x^21+30561670072*x^20-86189587932*x^19-29605929893*x^1\
8+65831554861*x^17+21311114591*x^16-35027996039*x^15-11388975649*x^14+124109\
63786*x^13+4429059287*x^12-2711901594*x^11-1176564667*x^10+302440276*x^9+189\
664142*x^8-3791931*x^7-14878752*x^6-2048263*x^5+256726*x^4+86268*x^3+7415*x^\
2+215*x+1

4965793726168869797924857710370911573284448838402438691415312689026517726034\
54975905395626461