Group GAP4(120,4)

x^120-x^119-120*x^118+119*x^117+7020*x^116-6902*x^115-266800*x^114+260016*x^\
113+7407149*x^112-7153917*x^111-160148912*x^110+153248227*x^109+2807284536*x\
^108-2660936994*x^107-41012490527*x^106+38497901075*x^105+509449152639*x^104\
-473465841016*x^103-5462630316885*x^102+5025147787492*x^101+51159255487858*x\
^100-46571590229759*x^99-422406472723696*x^98+380422547752036*x^97+309819996\
5623588*x^96-2759761342843212*x^95-20312233234038711*x^94+17890910513975875*\
x^93+119648704679274611*x^92-104179116885361572*x^91-635947327456464011*x^90\
+547237798365015478*x^89+3060932076225704518*x^88-2602403806952137573*x^87-1\
3381632679482263963*x^86+11237757141803693335*x^85+53269261650241794406*x^84\
-44175380046116671699*x^83-193491381668211851084*x^82+158409883226220302092*\
x^81+642404459312713521711*x^80-519076074528484768610*x^79-19521797917718535\
95186*x^78+1556432102027597579595*x^77+5435881947202130981823*x^76-427519753\
4918789414580*x^75-13880888945342583323355*x^74+10766375822707135393936*x^73\
+32524603740581499163226*x^72-24872741040509810199134*x^71-69952553283519598\
093706*x^70+52731674943081455817874*x^69+138116350888005538121324*x^68-10260\
5554285361988700952*x^67-250320729099720217517441*x^66+183225971416999608156\
225*x^65+416320616552629498936764*x^64-300189402818333799318482*x^63-6350634\
59133910980317596*x^62+451005270049763829579586*x^61+88787535385832201776776\
4*x^60-620928272892094653114452*x^59-1136650695746654465682706*x^58+78266950\
3817829925313774*x^57+1330884452621929457623572*x^56-90219614072046136821017\
8*x^55-1423276409969939917323750*x^54+949768581105013861522470*x^53+13879186\
06129116740806484*x^52-911657853740422891835454*x^51-12317997812231418628876\
46*x^50+796402679448218296858006*x^49+992815896851886752740102*x^48-63181031\
8115796685326364*x^47-724877327161303200387776*x^46+454072585425172533032470\
*x^45+478069693698413127088254*x^44-294801845394707497919175*x^43-2838857782\
04850390492527*x^42+172351773133602915703781*x^41+151225789192917184226010*x\
^40-90408008954251512161680*x^39-71965510799498786125778*x^38+42375265715758\
209073638*x^37+30449157254810353546285*x^36-17664117278609850578217*x^35-113\
92604275748952122006*x^34+6513506930656394083797*x^33+3746017058168716887842\
*x^32-2111589330520940368579*x^31-1074758877337114976685*x^30+59758298995996\
4312307*x^29+266842125049153118632*x^28-146425290166919882419*x^27-567825386\
96976762194*x^26+30768381661115003660*x^25+10239516323783242801*x^24-5482440\
822942441511*x^23-1543940349091377019*x^22+817369386695714998*x^21+191563143\
770421704*x^20-100338108289407167*x^19-19183251762705860*x^18+99455145864421\
10*x^17+1514324885370673*x^16-776939687822922*x^15-91548810346103*x^14+46391\
362164294*x^13+4092368593470*x^12-2034490212950*x^11-129869217764*x^10+62095\
366828*x^9+2809942278*x^8-1221888679*x^7-40390778*x^6+13769876*x^5+375380*x^\
4-70900*x^3-1840*x^2+80*x+1

1

x^120-x^119+3*x^118-4*x^117+9*x^116-14*x^115+28*x^114-47*x^113+89*x^112-155*\
x^111+286*x^110-507*x^109+924*x^108-1652*x^107+2993*x^106-5373*x^105+9707*x^\
104-17460*x^103+31501*x^102-56714*x^101+102256*x^100-184183*x^99+331981*x^98\
-598091*x^97+1077870*x^96-1942071*x^95+3499720*x^94-6305992*x^93+11363361*x^\
92-20475625*x^91+36896355*x^90-66484244*x^89+119801329*x^88-215873462*x^87+3\
88991876*x^86-700937471*x^85+1263047761*x^84-2275930827*x^83+4101088878*x^82\
-7389902771*x^81+13316149700*x^80+6577627786*x^79+12664768843*x^78+138066364\
29*x^77+18100529043*x^76+22177512658*x^75+27830181857*x^74+34625372502*x^73+\
43212503870*x^72+53868422991*x^71+67181957251*x^70+83767392601*x^69+10446494\
4892*x^68+130251797561*x^67+162445484824*x^66+202523055190*x^65+252619712019\
*x^64+314871883185*x^63+392890596043*x^62+489472882346*x^61+611180192925*x^6\
0+760656167810*x^59+951177100386*x^58+1181315428159*x^57+1481694940423*x^56+\
1832113016281*x^55+2312592292724*x^54+2833328680261*x^53+3623968921468*x^52+\
4355280731778*x^51+5725985791419*x^50+6608544593605*x^49+9198707721011*x^48+\
9744367257618*x^47+15261592778009*x^46+13425849458238*x^45+26841703355398*x^\
44+15271588339087*x^43+51837667829947*x^42+5547212203625*x^41+11339971179535\
6*x^40-50467619558159*x^39+22460203677267*x^38-9995730998229*x^37+4448518794\
604*x^36-1979777113795*x^35+881083704774*x^34-392119137760*x^33+174509433513\
*x^32-77664004259*x^31+34563733525*x^30-15382308530*x^29+6845771321*x^28-304\
6654856*x^27+1355888968*x^26-603427359*x^25+268550439*x^24-119516189*x^23+53\
189708*x^22-23671647*x^21+10534874*x^20-4688460*x^19+2086561*x^18-928607*x^1\
7+413269*x^16-183922*x^15+81853*x^14-36428*x^13+16212*x^12-7215*x^11+3211*x^\
10-1429*x^9+636*x^8-283*x^7+126*x^6-56*x^5+25*x^4-11*x^3+5*x^2-2*x+1

1137096736585203271034611