Group GAP4(52,2)

x^52-x^51-52*x^50+52*x^49+1273*x^48-1273*x^47-19503*x^46+19503*x^45+209669*x\
^44-209669*x^43-1681000*x^42+1681000*x^41+10427327*x^40-10427327*x^39-512424\
13*x^38+51242413*x^37+202631350*x^36-202631350*x^35-651307671*x^34+651307671\
*x^33+1711918922*x^32-1711918922*x^31-3689741862*x^30+3689741862*x^29+652071\
4498*x^28-6520714498*x^27-9423305818*x^26+9423305818*x^25+11076148874*x^24-1\
1076148874*x^23-10502224486*x^22+10502224486*x^21+7941452744*x^20-7941452744\
*x^19-4715972806*x^18+4715972806*x^17+2155201064*x^16-2155201064*x^15-737924\
776*x^14+737924776*x^13+182615264*x^12-182615264*x^11-31081531*x^10+31081531\
*x^9+3385694*x^8-3385694*x^7-210886*x^6+210886*x^5+6149*x^4-6149*x^3-52*x^2+\
52*x+1

1

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^13+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