Group GAP4(64,263)

Name: C2 x C2 x ((C4 x C2) : C2)
Maximal quotients:GAP4(32,48) GAP4(32,51)
Real polynomial:

x^64-420*x^62+72900*x^60-7182000*x^58+458733025*x^56-20442996000*x^54+665819\
842500*x^52-16361934067500*x^50+310449833560000*x^48-4627234276087500*x^46+5\
4896913578812500*x^44-523697422177125000*x^42+4048652123206140625*x^40-25515\
761551153125000*x^38+131661426372989062500*x^36-557890070260654687500*x^34+1\
944597533149856640625*x^32-5578900702606546875000*x^30+131661426372989062500\
00*x^28-25515761551153125000000*x^26+40486521232061406250000*x^24-5236974221\
7712500000000*x^22+54896913578812500000000*x^20-46272342760875000000000*x^18\
+31044983356000000000000*x^16-16361934067500000000000*x^14+66581984250000000\
00000*x^12-2044299600000000000000*x^10+458733025000000000000*x^8-71820000000\
000000000*x^6+7290000000000000000*x^4-420000000000000000*x^2+100000000000000\
00

Common denominator of the automorphisms:

22916495299191420446177254933366800000000000000000

Complex polynomial:

x^64-1081*x^56+1165825*x^48-2955454*x^40+6317134*x^32-2955454*x^24+1165825*x\
^16-1081*x^8+1

Common denominator of the automorphisms:

563369029977600

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.