Group GAP4(50,3)

x^50-115*x^48+5995*x^46-188075*x^44+3976550*x^42-60161485*x^40+675209950*x^3\
8-5754689750*x^36+37836284550*x^34-193978910625*x^32+780990413475*x^30-24799\
01291875*x^28+6221703440000*x^26-12326815872000*x^24+19230787108125*x^22-234\
92456875875*x^20+22277922438750*x^18-16197085576250*x^16+8876096373125*x^14-\
3584246746875*x^12+1035629043125*x^10-206265981250*x^8+26997590625*x^6-21684\
84375*x^4+94546875*x^2-1653125

8842279744791815543097447436544381520627360133571329543877529347244053144536\
250

x^50-10*x^48+85*x^46-16*x^45-445*x^44+200*x^43+1790*x^42-2240*x^41-2263*x^40\
+5280*x^39+2425*x^38-15880*x^37+22385*x^36-23986*x^35+39930*x^34-81150*x^33+\
126955*x^32-149200*x^31+162617*x^30-206940*x^29+274755*x^28-315430*x^27+3129\
75*x^26-303644*x^25+312975*x^24-315430*x^23+274755*x^22-206940*x^21+162617*x\
^20-149200*x^19+126955*x^18-81150*x^17+39930*x^16-23986*x^15+22385*x^14-1588\
0*x^13+2425*x^12+5280*x^11-2263*x^10-2240*x^9+1790*x^8+200*x^7-445*x^6-16*x^\
5+85*x^4-10*x^2+1

174723801160084295628544