Group GAP4(96,205)

Name: C2 x C2 x (C3 : Q8)
Maximal quotients:GAP4(32,47) GAP4(48,34) GAP4(48,51)
Real polynomial:
x^96-1008*x^94+427392*x^92-104866272*x^90+17026471392*x^88-1970656240896*x^8\
6+170487036797616*x^84-11393024588689968*x^82+602428497237941472*x^80-256710\
43967656270176*x^78+894283265360182715136*x^76-25761444281052320820672*x^74+\
619385582256854335638660*x^72-12524385752027962287389712*x^70+21433399329086\
2970616075264*x^68-3120558894701932971272757408*x^66+38820142614038931487070\
920800*x^64-414101739858154710607325703168*x^62+3798657144049965382293856400\
016*x^60-30033854556519880798135251768144*x^58+20501947392071220953138177310\
8448*x^56-1209778427483442298076837111604000*x^54+61753219413802243508368979\
14923648*x^52-27275747361208623194766661476449856*x^50+104229190197898696844\
255675807383014*x^48-344387540225450583868813809886883664*x^46+9829233410276\
65856779964974658663808*x^44-2419866011610278051433199775382529440*x^42+5129\
280760290834362741514509704934688*x^40-9339074480849044921678784796289456896\
*x^38+14564505194549950740122144493385425936*x^36-19388272660435448308005676\
040557473552*x^34+21940596145288833184924896199745360160*x^32-21003896751068\
702845077948062921344032*x^30+16911301513347111063417755691174787584*x^28-11\
373834584741277128985441438712435008*x^26+6338475606509827539602185370900434\
500*x^24-2899234720729422937678936897432308528*x^22+107630367950465280117631\
1021936299776*x^20-320010978527555100934455257454139104*x^18+749959832674105\
24277281870565115552*x^16-13584770592349958528361727653153792*x^14+185567399\
6146334548708067871341616*x^12-185139151351419228064719564474864*x^10+129269\
45921910949068026643201312*x^8-595602912355829529010563943008*x^6+1661778841\
4547181440947690112*x^4-241337176144876079017912512*x^2+12569644590878962448\
84961
Common denominator of the automorphisms:
4374551638242188813113333499148283115589444412043841744377391415624174520351\
8544744314585507917073995283267909248800543705823355428406019924656398336
Complex polynomial:
x^96-85712457852*x^72+3036105407840494510278*x^48-24207729741787608898812*x^\
24+79766443076872509863361
Common denominator of the automorphisms:
1073517396113383166846903464462137274368

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.