Group GAP4(138,4)

x^138+x^137-137*x^136-136*x^135+9180*x^134+9045*x^133-400995*x^132-392084*x^\
131+12840751*x^130+12457445*x^129-321402081*x^128-309319296*x^127+6547258432\
*x^126+6249655776*x^125-111600996000*x^124-105637584000*x^123+1624177854000*\
x^122+1524228447600*x^121-20492404684400*x^120-19062702032000*x^119+22684615\
4180800*x^118+209123798385425*x^117-2224316764644975*x^116-2031659407077300*\
x^115+19470069317824125*x^114+17615777001840875*x^113-153121753939078375*x^1\
12-137197091529414224*x^111+1087776939983212776*x^110+964963414501237140*x^1\
09-7012067478708989884*x^108-6156937298378625264*x^107+41174518182907056453*\
x^106+35774581372033999869*x^105-220960649650798234485*x^104-189916591435396\
829640*x^103+1086744939880326302940*x^102+923733198898277357499*x^101-491037\
1215196105953021*x^100-4126362365711013405900*x^99+20425493710269516359205*x\
^98+16963545623783157654255*x^97-78355425024141252022035*x^96-64291630789038\
976018080*x^95+277622951134486487350800*x^94+224970322471049394922200*x^93-9\
09662608252504075120200*x^92-727730086602003260096160*x^91+27593099116992623\
61197940*x^90+2178402561867838706208900*x^89-7755113120249505794103684*x^88-\
6039380129043862919301984*x^87+20208695047185233614587408*x^86+1551739083980\
2947239772474*x^85-48851045236416685754839270*x^84-3696835855728830273339188\
0*x^83+109584777151961754531125930*x^82+81690470240553307923202966*x^81-2281\
69934120166135923428974*x^80-167464171831314595173158880*x^79+44098898582246\
1767289318384*x^78+318492045316222387486729944*x^77-791093144817713672144458\
248*x^76-561897934636880739093260064*x^75+1316948284305189232249828275*x^74+\
919378990930037765910257475*x^73-2033777767814932027619660475*x^72-139459046\
9358810533224910040*x^71+2912233038955163172322606260*x^70+19601568531428982\
89063292675*x^69-3864309224767428055581919845*x^68-2551194439652282599801655\
820*x^67+4748056318241748171853081665*x^66+3072271735332895875904935195*x^65\
-5397234129638871133346507775*x^64-3420029547493938143902737600*x^63+5670048\
986634686922786117600*x^62+3515430371713505892127392912*x^61-549849365832112\
4600506947888*x^60-3332420398982499757882998720*x^59+49153200884991871428774\
23112*x^58+2909066991152580145784597352*x^57-4044312646236513861212732904*x^\
56-2334860909167471919875392192*x^55+3057555952481213228408251680*x^54+17198\
75223270682440979641570*x^53-2119846205426655101672581470*x^52-1160336870338\
800687231307752*x^51+1344935917892700796563561258*x^50+715391445687606806682\
745350*x^49-778981796415394078387878270*x^48-402055120730525975942130720*x^4\
7+410795449442059149332177040*x^46+205397724721029574666088520*x^45-19665739\
6009496401276042200*x^44-95087092576020237979624800*x^43+8518218709935146319\
0080550*x^42+39751687313030682822037590*x^41-33261615914984857055174310*x^40\
-14949040860667351485471600*x^39+11660251871320534158667848*x^38+50351087626\
15685204879298*x^37-3652922043466281423147726*x^36-1511553949020530244061128\
*x^35+1017392081071510741194990*x^34+402224776237574013960810*x^33-250441841\
808300801145410*x^32-94283987504301478078272*x^31+54125992826543441119008*x^\
30+19330711723765514685360*x^29-10192557090712725925008*x^28-343845299445730\
5131328*x^27+1657825550899057831176*x^26+525652003943603702568*x^25-23054912\
4536668290600*x^24-68310851714568382400*x^23+27088786024742634400*x^22+74494\
16156804224460*x^21-2651487106659130740*x^20-671262558647881200*x^19+2125664\
76905162380*x^18+49053802362729780*x^17-13670731806006660*x^16-2840671544105\
280*x^15+687259244541600*x^14+126600387152400*x^13-26123889412400*x^12-41798\
22305984*x^11+718406958841*x^10+97082021465*x^9-13442126049*x^8-1473109704*x\
^7+156238908*x^6+13019909*x^5-971635*x^4-54740*x^3+2415*x^2+69*x-1

1

x^138+x^137+x^136+x^135+x^134+x^133+x^132+x^131+x^130+x^129+x^128+x^127+x^12\
6+x^125+x^124+x^123+x^122+x^121+x^120+x^119+x^118+x^117+x^116+x^115+x^114+x^\
113+x^112+x^111+x^110+x^109+x^108+x^107+x^106+x^105+x^104+x^103+x^102+x^101+\
x^100+x^99+x^98+x^97+x^96+x^95+x^94+x^93+x^92+x^91+x^90+x^89+x^88+x^87+x^86+\
x^85+x^84+x^83+x^82+x^81+x^80+x^79+x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^71+x\
^70+x^69+x^68+x^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^\
55+x^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^4\
0+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25\
+x^24+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+\
x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1

1