Group GAP4(100,16)

x^100-220*x^98+23210*x^96-1564200*x^94+75684675*x^92-2801665658*x^90+8256471\
9050*x^88-1990247421800*x^86+40014661978775*x^84-680862142497350*x^82+991489\
6472396179*x^80-124655660690749375*x^78+1362538647721095680*x^76-13019966998\
730708225*x^74+109251037457498001175*x^72-807859414566580094983*x^70+5279051\
890391121392825*x^68-30551025228609090917195*x^66+156836162740640338197275*x\
^64-715000932607067573184575*x^62+2896713840012198306857350*x^60-10431965751\
954283990838550*x^58+33392311373285564719600570*x^56-94961412809200174632201\
950*x^54+239726017460264437786026475*x^52-536592851634980593077113137*x^50+1\
063350279362438961010120520*x^48-1862046797856646539142508350*x^46+287476138\
6322273120605450925*x^44-3902527990007968219245673975*x^42+46437168109294339\
34423243451*x^40-4826023458342811242520069375*x^38+4362197375386768258956313\
875*x^36-3412929238214882313572512725*x^34+2298537225169492457155045150*x^32\
-1324039766719548666219697782*x^30+647521738102703514630729325*x^28-26653529\
4561173458043291970*x^26+91409935995127755581912600*x^24-2580840479609519284\
3886875*x^22+5913729334392391081545569*x^20-1081139376155236702349650*x^18+1\
54499909119569998120125*x^16-16840261637716287422575*x^14+135983246507761076\
4075*x^12-78602240500492154545*x^10+3121286203115076095*x^8-8060664224238873\
5*x^6+1242402638387900*x^4-9726534225375*x^2+25937424601

1118399192113760750905731314520496342700626517488957810130932483934645780718\
9829506120456343025507381792260795764132400943127571671402634984133756278899\
0950321523743924567481306752317293819046789319618442346589835434923163923660\
8056092409495086291

x^100+10*x^98+65*x^96-x^95+350*x^94-15*x^93+1700*x^92-135*x^91+7752*x^90-125\
*x^89+33915*x^88+2475*x^87+144210*x^86+21747*x^85+600050*x^84+124300*x^83+24\
54375*x^82+595200*x^81+9903630*x^80+2578275*x^79+36536140*x^78+10449375*x^77\
+126513625*x^76+40296367*x^75+420569750*x^74+152103730*x^73+1358857250*x^72+\
575920455*x^71+4289871763*x^70+2221053925*x^69+13238028125*x^68+7539274725*x\
^67+39773018280*x^66+23091151479*x^65+115239954775*x^64+65260732460*x^63+317\
043770000*x^62+171398094945*x^61+802529318034*x^60+415587069100*x^59+1722170\
191525*x^58+910525391150*x^57+3448537523335*x^56+1727673838320*x^55+66401298\
79775*x^54+2673269055430*x^53+12375225356050*x^52+2721763982165*x^51+2226987\
6236964*x^50-318926132775*x^49+38493574185210*x^48-3486132072725*x^47+637028\
43993205*x^46-5720518528445*x^45+101068052042875*x^44-5528019657160*x^43+149\
670690857050*x^42-1258088662710*x^41+194282297165534*x^40+6686547633700*x^39\
+198029955535985*x^38+11179777203550*x^37+203175823359125*x^36-3924958473604\
*x^35+210146997058250*x^34-45262132258265*x^33+212970595809575*x^32-10911822\
6841090*x^31+203276744102013*x^30-160481103449425*x^29+174519266027860*x^28-\
117590696239650*x^27+130969662007555*x^26-76510086083492*x^25+92442246555275\
*x^24-44862602813575*x^23+58275903138550*x^22-22155520179815*x^21+2702071786\
6505*x^20-7772371612600*x^19+3206266012900*x^18-1162175063525*x^17+439126383\
905*x^16-162203879247*x^15+60299585725*x^14-21282890420*x^13+7767829775*x^12\
-2061823550*x^11+766161252*x^10+96211675*x^9+12083730*x^8+1516975*x^7+190695\
*x^6+23876*x^5+3025*x^4+370*x^3+50*x^2+5*x+1

3214055278947077309746354190460589270258530968929166050471595459835401797729\
346950905147907