Group GAP4(64,169)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,31) GAP4(32,42)
Real polynomial:

x^64-1680*x^62+1249920*x^60-545840400*x^58+156538408600*x^56-31304857458000*\
x^54+4533540342912000*x^52-488356672614090000*x^50+39949132381158857500*x^48\
-2523513781921478850000*x^46+124775519580395938800000*x^44-48819872354552565\
05250000*x^42+152427483594798513537625000*x^40-3821365055209091626556250000*\
x^38+77244728994141623443620000000*x^36-1261854287546938596104081250000*x^34\
+16667812118352534862598427343750*x^32-177826387437814268698168968750000*x^3\
0+1528174117179419724453363750000000*x^28-1053149887843096398477805921875000\
0*x^26+57841252552185102522387028515625000*x^24-2510692677933510802250793585\
93750000*x^22+851982865049056232300960025000000000*x^20-22285259035170719231\
66160199218750000*x^18+4411185515085764123749467991210937500*x^16-6448370973\
679355981037772558593750000*x^14+6734686600934128821094493906250000000*x^12-\
4796118577855796623304797558593750000*x^10+217182873366546301260044584960937\
5000*x^8-555215957211829647964155761718750000*x^6+60325472607091859149664062\
500000000*x^4-2069188057413413825683593750000*x^2+5070942774902496337890625

Common denominator of the automorphisms:

1727839733053009554837739138330095582325328482637275338290750899053981833768\
625052074126162126665440218246547292454360000000000000000

Complex polynomial:

x^64+800*x^56+151696*x^48-1091200*x^40+7558240*x^32+8476160*x^24+3410176*x^1\
6+296960*x^8+256

Common denominator of the automorphisms:

3675766232186880

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.