Group GAP4(100,8)

x^100-100*x^98+4850*x^96-x^95-152000*x^94+95*x^93+3460375*x^92-4370*x^91-609\
90020*x^90+129675*x^89+866188050*x^88-2790150*x^87-10186690800*x^86+46390894\
*x^85+101174877375*x^84-620282740*x^83-861283571500*x^82+6853318715*x^81+635\
6272757670*x^80-63806760450*x^79-41033344053600*x^78+507980953350*x^77+23337\
7144304850*x^76-3497299457651*x^75-1176171284295000*x^74+21006506482575*x^73\
+5277140596147500*x^72-110853612520200*x^71-21158229590200801*x^70+516831570\
518375*x^69+76037387589784195*x^68-2138424804232625*x^67-245518311735690845*\
x^66+7880095394411900*x^65+713599971101746300*x^64-25934491083858500*x^63-18\
69548462302284400*x^62+76395264905503500*x^61+4419145177774113164*x^60-20173\
6409342110000*x^59-9429640704897477215*x^58+478076147518292500*x^57+18166895\
204647354190*x^56-1017345924871442264*x^55-31594600358656689325*x^54+1944347\
912597858895*x^53+49574422287197606850*x^52-3336625247153359395*x^51-7011806\
2942824890330*x^50+5137914153050655375*x^49+89287554383204951500*x^48-709175\
5023646398000*x^47-102198236459055322125*x^46+8761324481373568692*x^45+10493\
5691122897148750*x^44-9669623147993208015*x^43-96424641503551549375*x^42+951\
1504505457904565*x^41+79068215228134191989*x^40-8314776286968174100*x^39-576\
65474811171270185*x^38+6437834394959756425*x^37+37259977937135884360*x^36-43\
97235912797358183*x^35-21233670484130238850*x^34+2637145385201089280*x^33+10\
616873033185992550*x^32-1381085906179054355*x^31-4629460295638187516*x^30+62\
7554881375331525*x^29+1748134366237231605*x^28-245558135865485450*x^27-56698\
4339078230230*x^26+82009827549696502*x^25+156439061722086375*x^24-2313088071\
1825675*x^23-36305027812119750*x^22+5440162880316175*x^21+6991333739877201*x\
^20-1050512502428500*x^19-1099127306021520*x^18+163393052545500*x^17+1382922\
64667920*x^16-19979249157651*x^15-13586710707675*x^14+1861076729765*x^13+101\
0356085400*x^12-126594960465*x^11-54607463483*x^10+5925188400*x^9+2028589705\
*x^8-174552325*x^7-47553155*x^6+2797262*x^5+599775*x^4-18935*x^3-2700*x^2+60\
*x+1

1

x^100-16*x^95+565*x^90-12751*x^85+358340*x^80+2521189*x^75+54364924*x^70+357\
837555*x^65+13991004204*x^60-47596463554*x^55+189145142050*x^50-673503109193\
*x^45+3077896000169*x^40+1212087474387*x^35+480366577964*x^30+188144058322*x\
^25+81758596011*x^20-152733506*x^15+285322*x^10-533*x^5+1

108301500471165262052588617573129494320580514171