Group GAP4(58,2)

x^58-59*x^56+1652*x^54-29205*x^52+365859*x^50-3455335*x^48+25556440*x^46-151\
794020*x^44+736647450*x^42-2956411766*x^40+9894929176*x^38-27773267119*x^36+\
65592184047*x^34-130526252535*x^32+218786861392*x^30-308290577416*x^28+36385\
4576834*x^26-357739373862*x^24+290845019400*x^22-193641552390*x^20+104268528\
210*x^18-44686512090*x^16+14932102320*x^14-3787127400*x^12+703323660*x^10-91\
018356*x^8+7637904*x^6-371287*x^4+8555*x^2-59

1

x^58+x^57+x^56+x^55+x^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x\
^43+x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^\
28+x^27+x^26+x^25+x^24+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^1\
3+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1

1