Group GAP4(80,50)

Name: C2 x C2 x (C5 : C4)
Maximal quotients:GAP4(16,10) GAP4(40,12)
Real polynomial:

x^80-200*x^78+19100*x^76-1160000*x^74+50343750*x^72-1663380000*x^70+43527695\
000*x^68-926648100000*x^66+16359618890625*x^64-242952908125000*x^62+30680055\
92969750*x^60-33219373007775000*x^58+310404993176293750*x^56-251552722945000\
0000*x^54+17747376898449843750*x^52-109307584181376250000*x^50+5888520958496\
26875000*x^48-2777751967992368750000*x^46+11478690685833152343750*x^44-41541\
987134329921875000*x^42+131544473821920327703125*x^40-3638736398879732156250\
00*x^38+877245677353402076562500*x^36-1837656761319356171875000*x^34+3332064\
306301328115234375*x^32-5204978554044006640625000*x^30+696469708813523798828\
1250*x^28-7928556350492066406250000*x^26+7616544249583730468750000*x^24-6114\
928546857763671875000*x^22+4056028433562087164062500*x^20-219251244529796367\
1875000*x^18+950190949835429833984375*x^16-323719763724091796875000*x^14+846\
56208879904785156250*x^12-16500769797294921875000*x^10+230910211949584960937\
5*x^8-220567024023437500000*x^6+13343890808105468750*x^4-449210205078125000*\
x^2+6204023681640625

Common denominator of the automorphisms:

2819752330403318205968199186367438707939472375638549746424557942873713154448\
230569554829229250283626626636718750000

Complex polynomial:

x^80+3690984*x^60+1365641522096*x^40+792375855744*x^20+256

Common denominator of the automorphisms:

139101401556497280000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.