Group GAP4(64,198)

Name: C4 x ((C4 x C2) : C2)
Maximal quotients:GAP4(32,45) GAP4(32,48)
Real polynomial:

x^64-192*x^62+17568*x^60-1019520*x^58+42131511*x^56-1319623704*x^54+32556892\
788*x^52-649118042352*x^50+10647657257211*x^48-145536018614064*x^46+16727820\
05135592*x^44-16272432231902496*x^42+134547047218874421*x^40-947975096241474\
264*x^38+5696873841852269460*x^36-29186645230900321200*x^34+1272398534859915\
18918*x^32-470453324326979688000*x^30+1468126483631925003360*x^28-3841687644\
296145881472*x^26+8357772874104293536971*x^24-14953194448352196411672*x^22+2\
1698731748213188602228*x^20-25091781909821818131312*x^18+2260484315828409700\
4661*x^16-15406093107496344601584*x^14+7641892988135727238152*x^12-261955527\
1001304522912*x^10+578304703319493834846*x^8-74464118702860585680*x^6+477050\
8169285738712*x^4-111764347869622176*x^2+139626387282321

Common denominator of the automorphisms:

14262182124136782778800

Complex polynomial:

x^64+9*x^56-729*x^40-6561*x^32-59049*x^24+4782969*x^8+43046721

Common denominator of the automorphisms:

43046721

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.