Group GAP4(64,145)

Name: (C2 x Q16) : C2
Maximal quotients:GAP4(32,28) GAP4(32,42) GAP4(32,44)
Real polynomial:

x^64-240*x^62+24480*x^60-1422000*x^58+53192904*x^56-1371787920*x^54+25462922\
400*x^52-350341439760*x^50+3649444559676*x^48-29239198553520*x^46+1823596788\
34080*x^44-893585955268080*x^42+3464807385389112*x^40-10688048379210960*x^38\
+26332951980120480*x^36-51953808672403920*x^34+82195172017740198*x^32-104290\
382201726160*x^30+106002816271296480*x^28-86096594322262800*x^26+55657804280\
721912*x^24-28475850421606320*x^22+11441879684448480*x^20-3574035244165680*x\
^18+856337778941436*x^16-154643107147920*x^14+20566304805600*x^12-1952705290\
320*x^10+126802942344*x^8-5292365040*x^6+129120480*x^4-1574640*x^2+6561

Common denominator of the automorphisms:

158695295794050139381230702205897555793510400

Complex polynomial:

x^64+8*x^60+116*x^56-624*x^52+1898*x^48-5096*x^44+10192*x^40-13944*x^36+8659\
*x^32+13944*x^28+10192*x^24+5096*x^20+1898*x^16+624*x^12+116*x^8-8*x^4+1

Common denominator of the automorphisms:

180688529941920

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