Group GAP4(128,2011)
Name: D8 x D16
Maximal quotients:GAP4(64,226) GAP4(64,250) GAP4(64,257)
Real polynomial:
x^128-448*x^126+96128*x^124-13171648*x^122+1296460512*x^120-97761591168*x^11\
8+5881706942656*x^116-290324438387968*x^114+11998482618446104*x^112-42161174\
3425780416*x^110+12748508034493716352*x^108-334913981750243674560*x^106+7704\
096332597950966944*x^104-156176420575863746979712*x^102+28050311944974805476\
80192*x^100-44837032752155633345809408*x^98+640258835748621426865566908*x^96\
-8193746188900195183857492672*x^94+94230645249160241443083282816*x^92-976058\
569933786347198354009792*x^90+9123596922848341693526058829280*x^88-770824690\
15722894207440118051200*x^86+589403890025576559897181571029440*x^84-40831443\
85780215864621919710440192*x^82+25648092587033457602256300708283496*x^80-146\
168473529202859395649361392092096*x^78+756069799118374999728352545911826816*\
x^76-3550316056505723584722401221341407424*x^74+1513477918084587451958080368\
6719479968*x^72-58562291734802833469934423909141731712*x^70+2056104933630999\
69147274984586295310528*x^68-654687438387384080781827011453875056128*x^66+18\
89227649603209032448090022370725747302*x^64-49364981086678183269816615194333\
15975488*x^62+11667615106464138095310709106968316710528*x^60-249136064757140\
49336124142120461736516416*x^58+47991177760859873029400427267110464686496*x^\
56-83262180976923124289625716857628198053504*x^54+12986586681900250776407429\
7260102647912000*x^52-181721097158566309869320349952026347397888*x^50+227602\
996949360736604555248343852662306088*x^48-2545083453204132950725767628720616\
95071296*x^46+253365924433892758903634051152073977269888*x^44-22385082497549\
4201449076024880552232578368*x^42+174918117157967406971137940954130923160288\
*x^40-120426300158992476947331255639653396446848*x^38+7274228200603980260936\
6489718079681350464*x^36-38370545006249185706462659445024591253504*x^34+1758\
2660236132688780877702108698270234620*x^32-695816298048302292210968083575800\
8445504*x^30+2362278392567456480165784475162136129664*x^28-68275709521874097\
2370108818114837457472*x^26+166502583457731183650567177013831976352*x^24-338\
99556138107107618442757139746064512*x^22+56887119975942824092192619498583038\
08*x^20-774411252439804286046587765932213504*x^18+83802710533143514793594539\
555216600*x^16-7018947378571812976404685566491968*x^14+438670014200598154335\
259685474432*x^12-19413660302036895838760043147328*x^10+56199797048682989873\
7703645152*x^8-9366842978804263227563614336*x^6+72570763999081618802076736*x\
^4-174142550688220851115520*x^2+2155803640157401441
Common denominator of the automorphisms:
5561294856177177457750712943075732871381868088195328537121041173844763597107\
2329398325795704340680747929652836573487501198339020543641857678051143714321\
5949278847126640678245318519827496141654095372505227908781696762852455134892\
8172504693304188782512478428053706730582037177417561685442226433181944229821\
0271442788445118374165975743734160212092683782656108667030640041341908882227\
393039855912394332921159862125003885904792731068268544000000000
Complex polynomial:
x^128-1506*x^120+887205*x^112-174405510*x^104+22328303130*x^96-1497591063978\
*x^88+61254821206493*x^80-47696206937610*x^72+2133369060098970*x^64-22094872\
35551910*x^56+116833378745148453*x^48+249841572613849182*x^40+59801528640608\
3905*x^32+700922184002555040*x^24+361126409073857280*x^16+345311689089024*x^\
8+2821109907456
Common denominator of the automorphisms:
7549676628371823587704954796403361640688026313479108829769090177578122030361\
4196391231612336395534885399485042114560000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.