Group GAP4(64,174)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,34) GAP4(32,39)
Real polynomial:

x^64-760*x^62+221980*x^60-32549280*x^58+2678535896*x^56-133037126760*x^54+41\
85100219280*x^52-86230453520280*x^50+1196088840594801*x^48-11464447241925080\
*x^46+77740289138370400*x^44-380424478955370520*x^42+1365370376145360648*x^4\
0-3640757678974766560*x^38+7284286570300811540*x^36-11012512800973901560*x^3\
4+12633296615590345408*x^32-11012512800973901560*x^30+7284286570300811540*x^\
28-3640757678974766560*x^26+1365370376145360648*x^24-380424478955370520*x^22\
+77740289138370400*x^20-11464447241925080*x^18+1196088840594801*x^16-8623045\
3520280*x^14+4185100219280*x^12-133037126760*x^10+2678535896*x^8-32549280*x^\
6+221980*x^4-760*x^2+1

Common denominator of the automorphisms:

11271622116854734305234164637272563143082666093643123363312127527723200

Complex polynomial:

x^64-8*x^56-728*x^48-128*x^40+602416*x^32-2458112*x^24+9622144*x^16-49664*x^\
8+256

Common denominator of the automorphisms:

170042854367232

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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