Group GAP4(72,9)

x^72+x^71-71*x^70-71*x^69+2414*x^68+2413*x^67-52328*x^66-52261*x^65+812306*x\
^64+810161*x^63-9616047*x^62-9572366*x^61+90264994*x^60+89629557*x^59-689755\
548*x^58-682724930*x^57+4371127632*x^56+4309620547*x^55-23286489337*x^54-228\
49792748*x^53+105341939172*x^52+102779105038*x^51-407709689401*x^50-39511123\
4728*x^49+1357596608223*x^48+1305211348059*x^47-3904835079868*x^46-371926520\
0721*x^45+9728159101898*x^44+9165230119287*x^43-21026124082689*x^42-19558594\
940632*x^41+39451771898631*x^40+36156772215788*x^39-64244688868131*x^38-5786\
6617266009*x^37+90694261179514*x^36+80051766936349*x^35-110771989509028*x^34\
-95481628998760*x^33+116718918404873*x^32+97845124480078*x^31-10569687933962\
2*x^30-85746855400919*x^29+81864828139598*x^28+63887053619028*x^27-539075021\
05202*x^26-40175642478203*x^25+29959357147579*x^24+21133654616883*x^23-13926\
771285139*x^22-9197241721482*x^21+5355660778027*x^20+3266568055562*x^19-1680\
604491087*x^18-930873946835*x^17+422934217544*x^16+208306234691*x^15-8345784\
1226*x^14-35598691132*x^13+12531059180*x^12+4477270737*x^11-1373030277*x^10-\
393815142*x^9+103282499*x^8+22508511*x^7-4848404*x^6-747831*x^5+120440*x^4+1\
2160*x^3-1120*x^2-80*x+1

1

x^72+x^63-x^45-x^36-x^27+x^9+1

1