Group GAP4(64,202)

Name: C2 x ((C2 x C2 x C2 x C2) : C2)
Maximal quotients:GAP4(32,27) GAP4(32,46)
Real polynomial:

x^64-198*x^62+16235*x^60-748242*x^58+22191441*x^56-457079040*x^54+6859606726\
*x^52-77473890648*x^50+673764832226*x^48-4588715606904*x^46+24790804613778*x\
^44-107317274893884*x^42+375210510186541*x^40-1066129962334866*x^38+24735824\
93070731*x^36-4701848723873334*x^34+7336643733511677*x^32-9403697447746668*x\
^30+9894329972282924*x^28-8529039698678928*x^26+6003368162984656*x^24-343415\
2796604288*x^22+1586611495281792*x^20-587355597683712*x^18+172483797049856*x\
^16-39666632011776*x^14+7024237287424*x^12-936097873920*x^10+90896142336*x^8\
-6129598464*x^6+265994240*x^4-6488064*x^2+65536

Common denominator of the automorphisms:

1153517550098522229258314248081380961419264

Complex polynomial:

x^64+18*x^60-365*x^56+10494*x^52+455689*x^48+591300*x^44-387218*x^40+472248*\
x^36+2075410*x^32+472248*x^28-387218*x^24+591300*x^20+455689*x^16+10494*x^12\
-365*x^8+18*x^4+1

Common denominator of the automorphisms:

46002978362880

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