Group GAP4(52,4)

x^52-319*x^50+45528*x^48-3875632*x^46+221150532*x^44-9005954828*x^42+2719241\
85442*x^40-6240448238539*x^38+110667053801089*x^36-1533170132343990*x^34+167\
04264232704782*x^32-143581455738011778*x^30+973568020531969637*x^28-51899542\
75774356557*x^26+21599060214383000681*x^24-69380270812245753708*x^22+1691439\
14510139416554*x^20-305586743164590904885*x^18+395922321743352979340*x^16-35\
2309850667069260737*x^14+204682328727761588620*x^12-74230808487232220942*x^1\
0+16042943296731447820*x^8-1927879837830440011*x^6+113190635425431048*x^4-24\
12778029018412*x^2+6563387971921

4872620996902425229263621021974345127168713182679492441738919165042945368086\
450480701113415923562302812769278109

x^52-5*x^50-3*x^48+100*x^46-270*x^44-271*x^42+2951*x^40-5005*x^38+167*x^36-3\
649*x^34+42476*x^32-62148*x^30+4856*x^28+58761*x^26+4856*x^24-62148*x^22+424\
76*x^20-3649*x^18+167*x^16-5005*x^14+2951*x^12-271*x^10-270*x^8+100*x^6-3*x^\
4-5*x^2+1

43400270092308411106979