Group GAP4(112,31)

Name: D8 x D14
Maximal quotients:GAP4(16,11) GAP4(56,12)
Real polynomial:
x^112-1128*x^110+484416*x^108-110304264*x^106+15502901378*x^104-146653088340\
0*x^102+98707611697920*x^100-4912617246880692*x^98+185975312246072137*x^96-5\
472772701802140852*x^94+127369441098346679424*x^92-2377580564115076437756*x^\
90+36014327195635017922108*x^88-447015411657682923635292*x^86+45841088459745\
14615437464*x^84-39112232139964458023712096*x^82+279312670196877297566193716\
*x^80-1678078103536095257061291072*x^78+8518944385702685609622393624*x^76-36\
681783936837406691770698132*x^74+134403494138067589899071245636*x^72-4202069\
07456342617490128131056*x^70+1123620137412062837772581111232*x^68-2574672880\
263970556623205886336*x^66+5063594309960713712313844997382*x^64-855806686593\
1409213462076562404*x^62+12441868724426469956682892836336*x^60-1556961018868\
6336703396633617368*x^58+16777333445530698342104943171477*x^56-1556961018868\
6336703396633617368*x^54+12441868724426469956682892836336*x^52-8558066865931\
409213462076562404*x^50+5063594309960713712313844997382*x^48-257467288026397\
0556623205886336*x^46+1123620137412062837772581111232*x^44-42020690745634261\
7490128131056*x^42+134403494138067589899071245636*x^40-366817839368374066917\
70698132*x^38+8518944385702685609622393624*x^36-1678078103536095257061291072\
*x^34+279312670196877297566193716*x^32-39112232139964458023712096*x^30+45841\
08845974514615437464*x^28-447015411657682923635292*x^26+36014327195635017922\
108*x^24-2377580564115076437756*x^22+127369441098346679424*x^20-547277270180\
2140852*x^18+185975312246072137*x^16-4912617246880692*x^14+98707611697920*x^\
12-1466530883400*x^10+15502901378*x^8-110304264*x^6+484416*x^4-1128*x^2+1
Common denominator of the automorphisms:
1407974484214894331595128039189713729742354835679292364603098959186777042122\
7427100441090908917456046362296755158311046042825576190399524695445127301376\
94225143984952702745
Complex polynomial:
x^112+12552680*x^104+3795377391087856*x^96-123208228177937523968*x^88+147544\
6623524222436249344*x^80+4839287988716456683653425152*x^72+35951554463592222\
54505120763904*x^64+4929613068488868510096661734752256*x^56+1287224034193733\
938093350567215628288*x^48+384353039126873284157434553398158426112*x^40-1947\
56170832358435702089755651225944064*x^32+36465666518439465712982279894308225\
024*x^24+1760795203147384719896247845590663168*x^16+775178409935000565286370\
1544337408*x^8+38314960314799265019684324376576
Common denominator of the automorphisms:
2823039081602070503900740484851171540956483691842056001598805517947686121986\
8974771045302885549782333054437766113770069524934712899644964334829015925574\
8608

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.