Group GAP4(64,247)

Name: C2 x C2 x (C8 : C2)
Maximal quotients:GAP4(32,37) GAP4(32,45)
Real polynomial:

x^64-320*x^62+48780*x^60-4714000*x^58+324235935*x^56-16894061800*x^54+692966\
614900*x^52-22957441754000*x^50+625351396422075*x^48-14185764541298000*x^46+\
270450710291277000*x^44-4361626014721340000*x^42+59764471566181807125*x^40-6\
97645639904481425000*x^38+6946139680338095322500*x^36-5898048700738971305000\
0*x^34+426501486328879297403750*x^32-2619567521226826864600000*x^30+13612143\
800722515316250000*x^28-59525480222518540075000000*x^26+21756159323453312284\
4296875*x^24-658896165586347039315625000*x^22+1635837710722992840820312500*x\
^20-3285142767688436591406250000*x^18+5248433977519047556376953125*x^16-6532\
432234966300635156250000*x^14+6167562578392235924804687500*x^12-426748100311\
2491269531250000*x^10+2067599757525685524902343750*x^8-659021831691803808593\
750000*x^6+126002378073881103515625000*x^4-12372998109047851562500000*x^2+45\
3286075818023681640625

Common denominator of the automorphisms:

19164470051177867606747843964223156211410385838989193123599121093750000

Complex polynomial:

x^64+31*x^48+705*x^32+7936*x^16+65536

Common denominator of the automorphisms:

138608640

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.