Group GAP4(50,5)

x^50-220*x^48+20900*x^46-1135750*x^44+39481750*x^42-931255930*x^40+154452295\
25*x^38-184498622000*x^36+1615983056875*x^34-10529813250000*x^32+51660639904\
225*x^30-192680488526625*x^28+550260760541250*x^26-1208816699784375*x^24+204\
6871090226875*x^22-2669781314161500*x^20+2673130354400000*x^18-2041302803478\
125*x^16+1177029566453125*x^14-505089884818750*x^12+158003064071875*x^10-349\
63668815625*x^8+5229124656250*x^6-490702265625*x^4+25164218750*x^2-503284375

43359359953607782406140593104230316707260548841221558672342500

x^50+10*x^48+5*x^47+90*x^46+101*x^45+825*x^44+1420*x^43+7860*x^42+17405*x^41\
+77551*x^40-213350*x^39+785355*x^38-1911935*x^37+6028695*x^36-12981524*x^35+\
42660375*x^34-79767060*x^33+299497245*x^32-448524790*x^31+2156551876*x^30-21\
47430700*x^29+4235935015*x^28-5906802475*x^27+9608153100*x^26-14257490799*x^\
25+22040737775*x^24-31230182725*x^23+47131590280*x^22-49915077285*x^21+80500\
120626*x^20+70849743575*x^19+52879734310*x^18+38361160780*x^17+28129777430*x\
^16+20012964226*x^15+15155978675*x^14+10046655920*x^13+8687994360*x^12+42465\
87745*x^11+5566400676*x^10+595268725*x^9+63657805*x^8+6807540*x^7+727995*x^6\
+77851*x^5+8325*x^4+890*x^3+95*x^2+10*x+1

689547371076735636834653730605994457