Group GAP4(80,37)

Name: C2 x D40
Maximal quotients:GAP4(16,11) GAP4(40,6) GAP4(40,13)
Real polynomial:
x^80-1220*x^78+670310*x^76-222142200*x^74+50131850100*x^72-8241028670000*x^7\
0+1030240804498000*x^68-100919675338400000*x^66+7917896071502260000*x^64-505\
909218570989600000*x^62+26668774183169882500000*x^60-11718673417491215600000\
00*x^58+43281046502063556340000000*x^56-1352616278211799912760000000*x^54+35\
964372560581903624030000000*x^52-817148741698424529972200000000*x^50+1592157\
7876353837983837800000000*x^48-266759175624469031386418000000000*x^46+385119\
3555881356545769153000000000*x^44-47977368253176861014102060000000000*x^42+5\
16190100210755870707683410000000000*x^40-47977368253176861014102060000000000\
00*x^38+38511935558813565457691530000000000000*x^36-266759175624469031386418\
000000000000000*x^34+1592157787635383798383780000000000000000*x^32-817148741\
6984245299722000000000000000000*x^30+359643725605819036240300000000000000000\
00*x^28-135261627821179991276000000000000000000000*x^26+43281046502063556340\
0000000000000000000000*x^24-1171867341749121560000000000000000000000000*x^22\
+2666877418316988250000000000000000000000000*x^20-50590921857098960000000000\
00000000000000000*x^18+7917896071502260000000000000000000000000000*x^16-1009\
1967533840000000000000000000000000000000*x^14+103024080449800000000000000000\
00000000000000*x^12-8241028670000000000000000000000000000000000*x^10+5013185\
010000000000000000000000000000000000*x^8-22214220000000000000000000000000000\
00000000*x^6+670310000000000000000000000000000000000000*x^4-1220000000000000\
00000000000000000000000000*x^2+10000000000000000000000000000000000000000
Common denominator of the automorphisms:
9979746507943103698075110665583422348095628382205382716013861352840711924073\
054033304577000000000000000000000000000000000000000
Complex polynomial:
x^80-8*x^72+1348*x^64-10575*x^56+48082*x^48-86431*x^40+769312*x^32-2707200*x\
^24+5521408*x^16-524288*x^8+1048576
Common denominator of the automorphisms:
261566013243392000

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.