Group GAP4(64,217)

Name: (C2 x C2 x Q8) : C2
Maximal quotients:GAP4(32,46) GAP4(32,50)
Real polynomial:

x^64-480*x^62+100680*x^60-12344400*x^58+1000360850*x^56-57399834000*x^54+243\
6946881000*x^52-78910000770000*x^50+1992001984170625*x^48-39849970235550000*\
x^46+639682951824900000*x^44-8319040789188000000*x^42+88301483008479500000*x\
^40-769295421019620000000*x^38+5523917569016160000000*x^36-32784215080484400\
000000*x^34+161089814380681900000000*x^32-655684301609688000000000*x^30+2209\
567027606464000000000*x^28-6154363368156960000000000*x^26+141282372813567200\
00000000*x^24-26620930525401600000000000*x^22+40939708916793600000000000*x^2\
0-51007961901504000000000000*x^18+50995250794768000000000000*x^16-4040192039\
4240000000000000*x^14+24954336061440000000000000*x^12-1175548600320000000000\
0000*x^10+4097478041600000000000000*x^8-1011253248000000000000000*x^6+164954\
112000000000000000*x^4-15728640000000000000000*x^2+655360000000000000000

Common denominator of the automorphisms:

9822044118044916275886927798952793158266879116574720000000000000000

Complex polynomial:

x^64+60*x^60+3116*x^56+24720*x^52+92560*x^48-397440*x^44-1691776*x^40+182323\
20*x^36+124363264*x^32+72929280*x^28-27068416*x^24-25436160*x^20+23695360*x^\
16+25313280*x^12+12763136*x^8+983040*x^4+65536

Common denominator of the automorphisms:

1423807670019686400

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