Group GAP4(96,103)

Name: (C2 x (C3 : Q8)) : C2
Maximal quotients:GAP4(32,29) GAP4(48,37) GAP4(48,38) GAP4(48,40)
Real polynomial:
x^96-336*x^94+53712*x^92-5442160*x^90+392830092*x^88-21527234352*x^86+931991\
295088*x^84-32752437854352*x^82+952671552915042*x^80-23271534058577584*x^78+\
482756831074790832*x^76-8578884834800317584*x^74+131497080660789356188*x^72-\
1748059903076218064208*x^70+20241318698192150263440*x^68-2048601446082638609\
23888*x^66+1817102729522197908991887*x^64-14154505535481699223660320*x^62+96\
973396157960450994865696*x^60-584910702455699289285671520*x^58+3107769155143\
873071543042840*x^56-14547685029299582832111052768*x^54+59981577630700973885\
146403424*x^52-217694159849027916322490134944*x^50+6947672977379512912310311\
85884*x^48-1947074332525158273446759890272*x^46+4782798842189655203506084567\
392*x^44-10274224224435998245064754349344*x^42+19247752953989477518998138460\
056*x^40-31342394952981884835878754695328*x^38+44186544645447451249292215698\
720*x^36-53681408656653100465648615963104*x^34+55890364842905641916113115800\
623*x^32-49544870642697453938103830109840*x^30+37107462321215612398249781000\
976*x^28-23267708860619598875969137963056*x^26+12082262472795159581188821365\
340*x^24-5128516805038810792567289474544*x^22+175181421312062549588150800747\
2*x^20-472514305436164184071005670608*x^18+98342030608356040244898290658*x^1\
6-15348060303818172139513666800*x^14+1732487133065141134871881200*x^12-13488\
6264518902912480776528*x^10+6772647695676931017226188*x^8-196368686371694280\
334608*x^6+2595646499974771158864*x^4-5714141328881850672*x^2+32487718900040\
01
Common denominator of the automorphisms:
2214501478982376457647926353195937343377770680208016437241002851136443217627\
0868567964710073843416946484659982251458667761374773719716502853497539745296\
339724516612343284137868587466835633249280212730971684864
Complex polynomial:
x^96+13944*x^88+1389980*x^80+3453199624*x^72+36944723142*x^64-352762812024*x\
^56+1547938356380*x^48-70795168584*x^40+3239081857*x^32-2189522496*x^24+1599\
505920*x^16-14565376*x^8+65536
Common denominator of the automorphisms:
1488725829955258999592346437735331263653347328

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.