Group GAP4(64,84)

Name: C2 x (C8 : C4)
Maximal quotients:GAP4(32,4) GAP4(32,21) GAP4(32,37)
Real polynomial:

x^64-160*x^62+11840*x^60-539200*x^58+16963600*x^56-392324800*x^54+6929628800\
*x^52-95865065600*x^50+1056857256900*x^48-9397547116000*x^46+67961686808000*\
x^44-401925927192000*x^42+1950146638014000*x^40-7773744620920000*x^38+254535\
08874960000*x^36-68347331805840000*x^34+150070877257243750*x^32-268341658406\
700000*x^30+388674317537400000*x^28-453020203179000000*x^26+4214673795011500\
00*x^24-309887650365000000*x^22+177859651526000000*x^20-78459645150000000*x^\
18+26083170169562500*x^16-6372828742500000*x^14+1108645005000000*x^12-132017\
325000000*x^10+10251826250000*x^8-486725000000*x^6+12750000000*x^4-150000000\
*x^2+390625

Common denominator of the automorphisms:

3915622812168204676531541057460910651432610201814930005670121127875056000000\
0

Complex polynomial:

x^64+4040350*x^48+1578431875*x^32+65218750*x^16+390625

Common denominator of the automorphisms:

2410541502943750000

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.