Group GAP4(100,2)

x^100-100*x^98+4850*x^96-152000*x^94+3460375*x^92-60990020*x^90+866188050*x^\
88-10186690800*x^86+101174877375*x^84-861283571500*x^82+6356272757670*x^80-4\
1033344053600*x^78+233377144304850*x^76-x^75-1176171284295000*x^74+75*x^73+5\
277140596147500*x^72-2700*x^71-21158229590200800*x^70+62125*x^69+76037387589\
784125*x^68-1026375*x^67-245518311735688500*x^66+12967515*x^65+7135999711016\
96250*x^64-130301600*x^63-1869548462301520000*x^62+1069239600*x^61+441914517\
7765217900*x^60-7301151000*x^59-9429640704815474000*x^58+42061513000*x^57+18\
166895204032609000*x^56-206554383840*x^55-31594600354839320000*x^54+87140130\
6825*x^53+49574422267297222500*x^52-3176695769325*x^51-70118062854865191504*\
x^50+10050340213125*x^49+89287554051153700200*x^48-27679625505000*x^47-10219\
8235382751267200*x^46+66492611490900*x^45+104935688116217819000*x^44-1394654\
35118625*x^43-96424634247636772000*x^42+255450888259875*x^41+790682000830621\
53040*x^40-408323057257500*x^39-57665447465907881600*x^38+568735686894375*x^\
37+37259935265195993350*x^36-688687213584825*x^35-21233613041224311000*x^34+\
722696458700125*x^33+10616806520612155500*x^32-654517547502000*x^31-46293943\
15800992640*x^30+508947591285000*x^29+1748078582789437325*x^28-3376351667675\
00*x^27-566944405229006700*x^26+189615909656629*x^25+156415052376423750*x^24\
-89301056353225*x^23-36293026024290000*x^22+34865998854225*x^21+698640750967\
5825*x^20-11127446444500*x^19-1097492705116500*x^18+2852763637875*x^17+13786\
2384140250*x^16-574779062020*x^15-13499376660000*x^14+88492410300*x^13+99711\
3048750*x^12-10032609925*x^11-53179362600*x^10+796271125*x^9+1926788500*x^8-\
41143375*x^7-43316000*x^6+1238770*x^5+520625*x^4-18225*x^3-2500*x^2+100*x+1

1

x^100+x^75+x^50+x^25+1

1