Group GAP4(96,158)

Name: (C2 x (C3 : Q8)) : C2
Maximal quotients:GAP4(32,44) GAP4(48,43)
Real polynomial:
x^96-288*x^94+38448*x^92-3174000*x^90+182320260*x^88-7772578608*x^86+2560985\
56512*x^84-6704837473248*x^82+142290307322394*x^80-2484530685517680*x^78+361\
04066394989328*x^76-440528342978997648*x^74+4545024324435363696*x^72-3986972\
1083699914752*x^70+298667312573846960880*x^68-1917129040926521857200*x^66+10\
572468696491891925699*x^64-50190429082852179596592*x^62+20540071566124955086\
6512*x^60-725321258354185771859280*x^58+2211256763159022917452080*x^56-58211\
19970515676304121600*x^54+13230479938676606685030960*x^52-259519555477872673\
19731440*x^50+43904308156612222433886810*x^48-64003898882745090841415760*x^4\
6+80314806463542709272168480*x^44-86638581408028261396641120*x^42+8022230322\
3007997741073540*x^40-63647815517990618618849040*x^38+4318084394333218068131\
1888*x^36-24991140534007778373747024*x^34+12304267021901778664021569*x^32-51\
36432553989726973620480*x^30+1810840879173706362247680*x^28-5365719525810784\
42404864*x^26+132850245375473317626816*x^24-27286969225629612847104*x^22+460\
8116793986890678272*x^20-632700923681649254400*x^18+69631429109648315904*x^1\
6-6031130960397533184*x^14+401393663918604288*x^12-19878062278311936*x^10+70\
0787744686080*x^8-16511297126400*x^6+236712886272*x^4-1783627776*x^2+5308416
Common denominator of the automorphisms:
1959432740922395376257671325349708994400726420923118579144475059440143358611\
7187587752048373102677606023424970623640871808664483660550800895523238254568\
1843819267114041718497174664076578969452242664519484029550828644330110039238\
9291273866539174760358893540092139300245771821492898814679251781558649034277\
0212864
Complex polynomial:
x^96-15912*x^72+1436047218*x^48-8456289192*x^24+282429536481
Common denominator of the automorphisms:
8417203371546826127040

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.