Group GAP4(53,1)

x^53+x^52-52*x^51-51*x^50+1275*x^49+1225*x^48-19600*x^47-18424*x^46+211876*x\
^45+194580*x^44-1712304*x^43-1533939*x^42+10737573*x^41+9366819*x^40-5352468\
0*x^39-45379620*x^38+215553195*x^37+177232627*x^36-708930508*x^35-563921995*\
x^34+1917334783*x^33+1471442973*x^32-4280561376*x^31-3159461968*x^30+7898654\
920*x^29+5586853480*x^28-12033222880*x^27-8122425444*x^26+15084504396*x^25+9\
669554100*x^24-15471286560*x^23-9364199760*x^22+12875774670*x^21+7307872110*\
x^20-8597496600*x^19-4537567650*x^18+4537567650*x^17+2203961430*x^16-1855967\
520*x^15-818809200*x^14+573166440*x^13+225792840*x^12-129024480*x^11-4435216\
5*x^10+20160075*x^9+5852925*x^8-2035800*x^7-475020*x^6+118755*x^5+20475*x^4-\
3276*x^3-351*x^2+27*x+1

1