Group GAP4(117,4)

Name: C39 x C3
Maximal quotients:GAP4(9,2) GAP4(39,2)
Real polynomial:
x^117-x^116-192*x^115+187*x^114+17693*x^113-16779*x^112-1042497*x^111+962419\
*x^110+44146618*x^109-39667013*x^108-1431888854*x^107+1252044519*x^106+37020\
065186*x^105-31497773393*x^104-783970031339*x^103+649002464278*x^102+1386820\
1921087*x^101-11170210052806*x^100-207965999656785*x^99+162980523986635*x^98\
+2673920755907075*x^97-2039009665940802*x^96-29742284827207597*x^95+22070605\
634760763*x^94+288255416786089422*x^93-208182410708578538*x^92-2448333584865\
453044*x^91+1721217549550935161*x^90+18310475043871089974*x^89-1253281193850\
3291936*x^88-121042222934116156437*x^87+80680046704950558879*x^86+7094966696\
69811241130*x^85-460644754356072335968*x^84-3697056994531622280721*x^83+2338\
686452311588083225*x^82+17161663212495291704639*x^81-10580197819863524644975\
*x^80-71086386222554388275475*x^79+42722829747950927287578*x^78+263093950415\
981082578060*x^77-154185398724689412229072*x^76-870912187714135442964752*x^7\
5+497829805699425788705409*x^74+2580501534242989548278742*x^73-1439103859704\
498302189051*x^72-6847419619848946598604112*x^71+3726420901374592352641675*x\
^70+16277246546474250591253957*x^69-8645742239651868673386103*x^68-346676887\
24431215661374777*x^67+17974701534263437651860052*x^66+661523840461769219019\
09532*x^65-33483590871399037804311515*x^64-113073991598411012181561382*x^63+\
55873243452290778033347895*x^62+173074479872442314339433450*x^61-83483329342\
874916835927125*x^60-237110478921134428631751702*x^59+1116285692308601928245\
53160*x^58+290567664967958580668856072*x^57-133480804779026004819161555*x^56\
-318264636604848106454179994*x^55+142609308027781672697302352*x^54+311292912\
882152758482784200*x^53-135989338456760063941829734*x^52-2715860301841943266\
57156676*x^51+115597776640389857556418234*x^50+211073540071583323504449775*x\
^49-87468009700990789654125427*x^48-145908615886781410980925255*x^47+5881220\
6599928424011018900*x^46+89550781992042382182669924*x^45-3507104142554201901\
9794991*x^44-48695752997761049687100848*x^43+18505502941582210875517195*x^42\
+23403992298770744023043754*x^41-8617373070544777940586138*x^40-991376856592\
9688309700173*x^39+3530523441407754321260336*x^38+3689028041811334501064615*\
x^37-1268089193823934719742046*x^36-1201303381884191738001087*x^35+397663016\
486082269955006*x^34+340826537136458249544410*x^33-108355661417312016210716*\
x^32-83812149981251909402316*x^31+25511114767634440263075*x^30+1775604451886\
0434049254*x^29-5155915544842899251743*x^28-3217857991911736156074*x^27+8876\
44545661032208154*x^26+494684327034627931180*x^25-128996920048691148113*x^24\
-63870628260686638970*x^23+15653993052471813414*x^22+6843691072402496003*x^2\
1-1565791383427082323*x^20-599768265867339206*x^19+127076481025560089*x^18+4\
2226906448713837*x^17-8207744244036865*x^16-2335029440704473*x^15+4118539701\
84773*x^14+98491306882694*x^13-15569952336723*x^12-3047431827542*x^11+425880\
141187*x^10+65505592250*x^9-7966913845*x^8-903655143*x^7+93550927*x^6+709083\
8*x^5-594510*x^4-26430*x^3+1540*x^2+40*x-1
Common denominator of the automorphisms:
1095726176382200674367527824349404115125312615682816363094052402992806511078\
5449443384567236322338742138546195033234622893130728392426952443693504890772\
3578711203596672582202558006130278440674191753661662654811675293467517345542\
3855310749871209639563382407392127073635101195381273020220742918432076014429\
8458772983792404931334439174179972640382653585552502687286464889593862906646\
9662822536501679012767231525203489283189272992865680446187410798675276950239\
2705880996603903393501464125467544262338060726278532456818197687154815072897\
6814859305233267580021043460414028866621012735628193664352957190395072813454\
1914046126206539057794279244263973314391704562725351058739589229526692575778\
4692239948392938693619871901403292929954790047166591164535055228737023085511\
0905117168214400641572756111011779872920665387013652666356934963494961491283\
9

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.