Group GAP4(96,228)

Name: C2 x C2 x C2 x A4
Maximal quotients:GAP4(24,15) GAP4(48,49)
Real polynomial:
x^96-684*x^94+194679*x^92-30529980*x^90+2981698973*x^88-196414911720*x^86+92\
20261768048*x^84-320595711405252*x^82+8488859053655658*x^80-1746679932713461\
32*x^78+2835369283036774080*x^76-36731857074955878492*x^74+38321380658033866\
2246*x^72-3243394644030979174680*x^70+22409137943908312997135*x^68-127085205\
055296471596940*x^66+594495440255071075763162*x^64-2304205741456771088130984\
*x^62+7429231291040741520165848*x^60-19995112672714375869653460*x^58+4505297\
6321891838834902958*x^56-85180955581375048089888240*x^54+1353655832077547332\
27739507*x^52-180997963379625453394545300*x^50+203714584796411424651719968*x\
^48-192964471886826627449434260*x^46+153715452717950223194699957*x^44-102846\
903436076722200601380*x^42+57694421216759892797319108*x^40-27075836941179020\
965505520*x^38+10601877857924224769591398*x^36-3453002112245888075307504*x^3\
4+932157318489367536793517*x^32-207734726401309870457100*x^30+38041104369693\
644246655*x^28-5693894363513390216940*x^26+692274632896157786061*x^24-678680\
01275181859692*x^22+5317822565221358515*x^20-329466715103225952*x^18+1592611\
5887322398*x^16-590639836653312*x^14+16444659096533*x^12-333998381100*x^10+4\
758478478*x^8-44988780*x^6+259949*x^4-804*x^2+1
Common denominator of the automorphisms:
1306374433273140733651138508365174652114498343972374430442266555715385772369\
4866666169381075936302385312199515284188238433244632185908103511185630034236\
9238078981829564767156712127230495539973200520435469213010563379930701714331\
497264260320066442446935618600000
Complex polynomial:
x^96+384*x^92+86016*x^88+12574140*x^84+1337515824*x^80+99905131680*x^76+5147\
529874170*x^72+152419312232592*x^68+1924744320704928*x^64-50304917562226720*\
x^60-107245708283060544*x^56+1328734005285211680*x^52+7264814651841400179*x^\
48+14738005743314273616*x^44+8296687166697962592*x^40-17279803759391007456*x\
^36-32832604400246207616*x^32-9369317109127036704*x^28+26162052606961443946*\
x^24+1828321296288878160*x^20+1699623846808148448*x^16-169794579390979284*x^\
12+30294633878723088*x^8+105479707465728*x^4+127027375281
Common denominator of the automorphisms:
3094527972864995770553199168093603050438374894807924955777595146335359998049\
0089984548150035251029156572034477461380722598875005845600854187783993415846\
9007257079954072468626504563301493036354861022702804039869103186536326741160\
473665203141678918272

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.