Group GAP4(96,92)

Name: (C2 x (C3 : Q8)) : C2
Maximal quotients:GAP4(32,31) GAP4(48,37) GAP4(48,38) GAP4(48,39)
Real polynomial:
x^96-336*x^94+50508*x^92-4592224*x^90+286562574*x^88-13166590584*x^86+465850\
305240*x^84-13091763208776*x^82+298915668420369*x^80-5640734258821760*x^78+8\
9155212555546480*x^76-1192824168458332872*x^74+13624660720837536818*x^72-133\
784881941155820480*x^70+1135766875642454220672*x^68-8375330175894884852664*x\
^66+53853434260649923000362*x^64-302892167466050638497504*x^62+1493930292303\
398653654228*x^60-6474674338094719641064320*x^58+24696004106552978313221934*\
x^56-82994506631097505999751224*x^54+245928628066862801373619824*x^52-642789\
667709984459610241128*x^50+1481962739824782014025238425*x^48-301280440246046\
9703759270528*x^46+5397271007457270254531735160*x^44-85113010266309792840662\
17768*x^42+11798398282788867418499595846*x^40-14350634154971917726627987920*\
x^38+15281679878421834742132829608*x^36-14208627740953973830951330008*x^34+1\
1497906448043688507188331686*x^32-8067188386268097251432836128*x^30+48856625\
38202301778904944836*x^28-2540659879859850799898469216*x^26+1127503843658932\
900706777714*x^24-423925202674241416959218184*x^22+1338854260501145199160125\
84*x^20-35156626395613982891622536*x^18+7581597029893462934933757*x^16-13227\
03505390278424452816*x^14+183226532296295074587432*x^12-19677229038639128733\
000*x^10+1587204138089859340038*x^8-91981084208075455456*x^6+357764744991097\
8072*x^4-82745145243796728*x^2+850935630981601
Common denominator of the automorphisms:
8101557838171162484577036629322514421683087385629994446981096887949057757843\
2275293303847281055635835847012292234489279885357206416588674887713589900157\
4468026454978171876109922391837925358557123282257007684900238096561923385887\
5791585967998751121690051424717426668757409249388530712556726178332856563350\
9831873963229324580958968
Complex polynomial:
x^96+78615396*x^72+1642398380869734*x^48+6367847076*x^24+6561
Common denominator of the automorphisms:
826754540714529403392

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.