Group GAP4(79,1)

Name: C79
Maximal quotient:GAP4(1,1)
Real polynomial:
x^79+x^78-156*x^77-151*x^76+11476*x^75+10742*x^74-529833*x^73-479120*x^72+17\
237859*x^71+15043356*x^70-420695673*x^69-353920938*x^68+8005510587*x^67+6484\
821551*x^66-121897544509*x^65-94959796018*x^64+1512506583433*x^63+1131648317\
743*x^62-15496341553928*x^61-11120185043808*x^60+132376432838106*x^59+909753\
56804502*x^58-949633381885839*x^57-624050367056385*x^56+5750894189811100*x^5\
5+3607649713387208*x^54-29508660802301222*x^53-17639571023194681*x^52+128602\
029542560426*x^51+73114526892928284*x^50-476661570350174302*x^49-25720965949\
2690357*x^48+1503149344492126347*x^47+768122531281080170*x^46-40309931351887\
40266*x^45-1945953639652130387*x^44+9180641646273875633*x^43+417554402115882\
8515*x^42-17720410438845095950*x^41-7570210080186966239*x^40+289041118953997\
88759*x^39+11556972210324882738*x^38-39694010615804869681*x^37-1479082472707\
2361901*x^36+45687502119081734033*x^35+15779507887426374013*x^34-43834207774\
512448337*x^33-13933215738460480507*x^32+34832294570965230505*x^31+100922922\
69108676458*x^30-22752966081378874965*x^29-5930089941589565108*x^28+12110606\
741300452292*x^27+2787350977545282191*x^26-5198631736503715705*x^25-10297298\
65708380737*x^24+1777818076567389569*x^23+292332297736928516*x^22-4772007238\
07927472*x^21-61925190559965783*x^20+98688594363464519*x^19+9404904692311374\
*x^18-15354866035626205*x^17-967602418893197*x^16+1742477355890453*x^15+6211\
7408755516*x^14-138523447421396*x^13-2288943125790*x^12+7331249803128*x^11+6\
7426164550*x^10-243056280171*x^9-3889298793*x^8+4696185844*x^7+157596564*x^6\
-45517649*x^5-2527289*x^4+140716*x^3+12298*x^2+218*x+1
Common denominator of the automorphisms:
7737360614106210992704445455512807611709842317071476088182323730272039846778\
9337812594920242221697351966586364631453057159625630038338026260575609326422\
4022338754569318823179709071751006497243603638056230306293860990754282573053\
6087195978122659435872350146017283420802524382730809111322499348786197076611\
6870348282343434626767796766734472860940511617273953360041961143075922802843\
5854440882291477213865828867249459830225266317816087674552651589698401518595\
57656246186979

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.