Group GAP4(64,205)

Name: C2 x ((C4 x C2 x C2) : C2)
Maximal quotients:GAP4(32,30) GAP4(32,46) GAP4(32,48)
Real polynomial:

x^64-312*x^62+41532*x^60-3123408*x^58+148721879*x^56-4781532264*x^54+1083923\
68572*x^52-1787084518872*x^50+21918734925049*x^48-203300054227512*x^46+14429\
57134749072*x^44-7904000732135328*x^42+33616201233655112*x^40-11149084519801\
2768*x^38+289238845011887040*x^36-588184828382601024*x^34+938749748541460528\
*x^32-1176369656765202048*x^30+1156955380047548160*x^28-891926761584102144*x\
^26+537859219738481792*x^24-252928023428330496*x^22+92349256623940608*x^20-2\
6022406941121536*x^18+5611196140812544*x^16-914987273662464*x^14+11099378541\
7728*x^12-9792578076672*x^10+609164816384*x^8-25586958336*x^6+680460288*x^4-\
10223616*x^2+65536

Common denominator of the automorphisms:

13275163850095538546972369586777836571931962067916606306821441536000000

Complex polynomial:

x^64-60*x^60+3382*x^56-15480*x^52+116001*x^48+685560*x^44+744422*x^40+369126\
0*x^36+10931204*x^32+3691260*x^28+744422*x^24+685560*x^20+116001*x^16-15480*\
x^12+3382*x^8-60*x^4+1

Common denominator of the automorphisms:

664775877398528000

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