Group GAP4(64,224)

Name: ((C2 x Q8) : C2) : C2
Maximal quotients:GAP4(32,47) GAP4(32,49)
Real polynomial:

x^64-840*x^62+300720*x^60-61651800*x^58+8200179400*x^56-758717715000*x^54+51\
048749682000*x^52-2574863000745000*x^50+99519901108897500*x^48-2996070744855\
825000*x^46+71136882953487750000*x^44-1344984155857699875000*x^42+2040075255\
0260124875000*x^40-249655235722171899375000*x^38+2475209912983375916250000*x\
^36-19939036084417447528125000*x^34+130720716670606330477343750*x^32-6978662\
62954610663484375000*x^30+3032132143404635497406250000*x^28-1070396823158812\
0185703125000*x^26+30613879295734099890546875000*x^24-7064108971093863062226\
5625000*x^22+130768486603045004683593750000*x^20-192765085111781303748046875\
000*x^18+224106416184559928475585937500*x^16-202939471896297728935546875000*\
x^14+140820393335562703300781250000*x^12-73253556067253527587890625000*x^10+\
27710214398223598486328125000*x^8-7291725942151223876953125000*x^6+124484400\
9198921386718750000*x^4-121702626597659912109375000*x^2+50709427749024963378\
90625

Common denominator of the automorphisms:

67393946118111227689165546000000000000000000

Complex polynomial:

x^64+2016*x^56+1098684*x^48-143303904*x^40+5952598470*x^32-11607616224*x^24+\
7208465724*x^16+1071385056*x^8+43046721

Common denominator of the automorphisms:

17957069838434304

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.