Group GAP4(80,29)

Name: (C5 : C8) : C2
Maximal quotients:GAP4(16,6) GAP4(40,12)
Real polynomial:
x^80-1120*x^78+545600*x^76-153843200*x^74+28301212160*x^72-3639203942400*x^7\
0+342267592376320*x^68-24303363880550400*x^66+1333264789014691840*x^64-57484\
602936937676800*x^62+1973220834897627709440*x^60-54455421516364644352000*x^5\
8+1217223138593819852800000*x^56-22160371824196005029478400*x^54+32993218477\
3566781823385600*x^52-4028472868786902937894912000*x^50+40411391272978116233\
291366400*x^48-333360972156171332576346112000*x^46+2261757114349861792038623\
641600*x^44-12614748437347278029361617305600*x^42+57772319594521914016303604\
039680*x^40-216870394549593856521304381849600*x^38+6656593512140701764401380\
72064000*x^36-1665213503655629014769406784307200*x^34+3381129641883129434011\
639952179200*x^32-5543633743512037644605132374016000*x^30+729360231692902431\
9761268133068800*x^28-7642648679278891142567818166272000*x^26+63223747319984\
17034601168266854400*x^24-4087622116119128633082051035136000*x^22+2042174846\
349330810775989439692800*x^20-778559002408315606179271147520000*x^18+2233583\
20712397156394322624512000*x^16-47453077072053811509838479360000*x^14+732172\
6052048867499771428864000*x^12-799875658946839225596641280000*x^10+597222790\
10009277800644608000*x^8-2891913362258015509544960000*x^6+836075616710793290\
05568000*x^4-1254378597012249509888000*x^2+7378697629483820646400
Common denominator of the automorphisms:
3985234180349895787058471685725050912736191854416557899553099966986558840503\
2584893411426289218784808436877223352794481070391838993865253985917536064195\
855876500024906968809530846085120
Complex polynomial:
x^80+644*x^64+562054*x^48-325967996*x^32+89231429249*x^16+1048576
Common denominator of the automorphisms:
7215943487370294702112768

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.