Group GAP4(111,2)

x^111+x^110-110*x^109-109*x^108+5886*x^107+5778*x^106-204156*x^105-198485*x^\
104+5160610*x^103+4967690*x^102-101340876*x^101-96560646*x^100+1609344100*x^\
99+1517381580*x^98-21243342120*x^97-19813501785*x^96+237762021420*x^95+21929\
5068300*x^94-2290415157800*x^93-2088319702700*x^92+19212541264840*x^91+17310\
309456440*x^90-141629804643600*x^89-126050526132804*x^88+924370524973896*x^8\
7+812325612855848*x^86-5373846361969456*x^85-4660989191504120*x^84+279659351\
49024720*x^83+23929614612052080*x^82-130815226545884704*x^81-110375347398090\
219*x^80+551876736990451095*x^79+458929076023638279*x^78-2105674584108457986\
*x^77-1724861095493098563*x^76+7282746847637527266*x^75+5873182941643167150*\
x^74-22874501983241808900*x^73-18150420051920130975*x^72+6534151218691247151\
0*x^71+50980740277700939310*x^70-169935800925669797700*x^69-1302841140430135\
11570*x^68+402696352496587217580*x^67+303153433901925208740*x^66-86991854945\
7698425080*x^65-642553474031254518525*x^64+1713475930750012049400*x^63+12407\
92915370698380600*x^62-3077166430119331983888*x^61-2182641305084642453688*x^\
60+5036864550195328739280*x^59+3496176570135581124912*x^58-75103052247356927\
86848*x^57-5096278545356362962504*x^56+10192557090712725925008*x^55+67541040\
96255420793680*x^54-12576607627510093891680*x^53-8128782978756524100720*x^52\
+14089890496511308441248*x^51+8871412534840453463008*x^50-143087298949039571\
98400*x^49-8764097060628673784020*x^48+13146145590943010676030*x^47+78211245\
92080019009790*x^46-10902173673808511346980*x^45-6289715581043371930950*x^44\
+8139631928409069557700*x^43+4545508739241428454300*x^42-5454610487089714145\
160*x^41-2942618815403661578310*x^40+3269576461559623975900*x^39+17001797600\
11004467468*x^38-1746130564335626209832*x^37-873065282167813104916*x^36+8271\
14477843191362552*x^35+396561735952215036840*x^34-345720487753213109040*x^33\
-158455223553556008310*x^32+126764178842844806648*x^31+55347740058143507128*\
x^30-40498346384007444240*x^29-16777886359088798328*x^28+1118525757272586555\
2*x^27+4376839919762295216*x^26-2646461346833015712*x^25-972963730453314600*\
x^24+530707489338171600*x^23+182183167981760400*x^22-89067326568860640*x^21-\
28339603908273840*x^20+12321566916640800*x^19+3601688791018080*x^18-13793701\
75283520*x^17-366395202809685*x^16+122131734269895*x^15+29078984349975*x^14-\
8308281242850*x^13-1742058970275*x^12+418094152866*x^11+75394027566*x^10-147\
83142660*x^9-2217471399*x^8+341149446*x^7+40475358*x^6-4582116*x^5-395010*x^\
4+29260*x^3+1540*x^2-56*x-1

1