Group GAP4(96,213)

Name: C2 x ((C4 x S3) : C2)
Maximal quotients:GAP4(32,48) GAP4(48,41) GAP4(48,51)
Real polynomial:
x^96-468*x^94+83556*x^92-8176464*x^90+508794381*x^88-21830999112*x^86+680005\
703700*x^84-15940949450580*x^82+288880612017270*x^80-4131465241349052*x^78+4\
7398552817564412*x^76-441979016430292200*x^74+3385749850901009227*x^72-21495\
324460204167408*x^70+113930465823813228156*x^68-507216250065031412220*x^66+1\
906469863024236708480*x^64-6076068494066249309892*x^62+164794387329316047107\
88*x^60-38150232367234531386384*x^58+75571731045442555349529*x^56-1283469027\
65352945721512*x^54+187167078012077116718868*x^52-234613463804507571399108*x\
^50+252947487149737738784100*x^48-234613463804507571399108*x^46+187167078012\
077116718868*x^44-128346902765352945721512*x^42+75571731045442555349529*x^40\
-38150232367234531386384*x^38+16479438732931604710788*x^36-60760684940662493\
09892*x^34+1906469863024236708480*x^32-507216250065031412220*x^30+1139304658\
23813228156*x^28-21495324460204167408*x^26+3385749850901009227*x^24-44197901\
6430292200*x^22+47398552817564412*x^20-4131465241349052*x^18+288880612017270\
*x^16-15940949450580*x^14+680005703700*x^12-21830999112*x^10+508794381*x^8-8\
176464*x^6+83556*x^4-468*x^2+1
Common denominator of the automorphisms:
1766068066523771576206535646350910100387729734674775273913499610741461672371\
32244661105197056
Complex polynomial:
x^96+1452291192576*x^72+289089000458182656*x^48+39028664379355693056*x^24+72\
2204136308736
Common denominator of the automorphisms:
3897194881347445598292698726400

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.