Group GAP4(96,147)

Name: (C6 x D8) : C2
Maximal quotients:GAP4(32,34) GAP4(48,38) GAP4(48,43)
Real polynomial:
x^96-432*x^94+88968*x^92-11632368*x^90+1084901940*x^88-76886714352*x^86+4306\
947742584*x^84-195855937540272*x^82+7369348804205538*x^80-232686000231759056\
*x^78+6231602067816252888*x^76-142720040793347228304*x^74+281312236002125483\
8308*x^72-47956677806590108159248*x^70+709752125221765943108904*x^68-9145222\
664975164585282896*x^66+102802468866538696957860111*x^64-1009565763591133683\
675624672*x^62+8668291311474398461163149008*x^60-650909521271535328395532670\
40*x^58+427378496443127071721252677224*x^56-2452105425576650481820962741600*\
x^54+12281595825936997112547571051824*x^52-53622694133044298834181178783968*\
x^50+203727588238178863520570912759004*x^48-67209609230087343470825174293392\
0*x^46+1920485313445753427319275079817008*x^44-47396937620914656066171683815\
65728*x^42+10070506839372613273084595875786728*x^40-183548526331559641349395\
88970887712*x^38+28583239200270038002451859219249360*x^36-378623470501975770\
47543914613628576*x^34+42452726442246485441018678321699631*x^32-400712826530\
47790078449860492783216*x^30+31647037567154233842213005619110952*x^28-207679\
24222160506061004446334358704*x^26+11234253943472110102519697220642148*x^24-\
4962622882606662074895386524657584*x^22+1770108156137414393399396436996312*x\
^20-502798491648684704955839102336880*x^18+111770270826454391727263987563362\
*x^16-19013332255264276726814061562512*x^14+2403109394603766641828655467640*\
x^12-216890287364973323179661384016*x^10+13239383824455518331802606068*x^8-5\
07043505945800758757002192*x^6+10959410737087990891292808*x^4-11023917587222\
6377632528*x^2+296395480390447652769
Common denominator of the automorphisms:
3113497511120237282409161962882586171787066121420007327172103891686024038538\
9351584865738046422589669748158207294606332948897887299925659104152058025341\
6007907837353105846403444338237878941206802523989863341973963023736375901456\
895765638962558040801280
Complex polynomial:
x^96+10452*x^84+206358768*x^72+38071612332*x^60+1947813058638*x^48+342644510\
988*x^36+16715060208*x^24+7619508*x^12+6561
Common denominator of the automorphisms:
2605879182847822005757248

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.