Group GAP4(64,8)

Name: ((C8 x C2) : C2) : C2
Maximal quotients:GAP4(32,6) GAP4(32,9) GAP4(32,11)
Real polynomial:

x^64-448*x^62+93072*x^60-11929344*x^58+1059125592*x^56-69350516928*x^54+3483\
006863280*x^52-137812500269696*x^50+4380008161600092*x^48-113465950670774464\
*x^46+2423111497814284816*x^44-43036716967201405952*x^42+6401058017719536610\
32*x^40-8014624161015139559360*x^38+84794820820865652393904*x^36-75989865227\
9325071225216*x^34+5774507495443346748968390*x^32-37199830215782438503636288\
*x^30+202823102093027869926015536*x^28-932948674316876788169620224*x^26+3602\
527676555957433409621608*x^24-11595611437021090153145461312*x^22+30810568036\
286806215499475088*x^20-66698716277322299795929333120*x^18+11555913454811764\
4277279131228*x^16-156348406342696500755847123008*x^14+159534355074151306390\
476859440*x^12-116576999358672273273031406080*x^10+5618343532536679238778639\
0360*x^8-15451897076664309270125212992*x^6+1832143968154454085173811216*x^4-\
87942553836269172324669056*x^2+1442203032797773688271361

Common denominator of the automorphisms:

3731936654870510250551165702106126252776713718716113791055627407794471913067\
05173746810880

Complex polynomial:

x^64+8256*x^56+6358784*x^48-2592768*x^40+226779136*x^32-165937152*x^24+26045\
579264*x^16+2164260864*x^8+16777216

Common denominator of the automorphisms:

108935214033534976

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.