Group GAP4(64,166)

Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,30) GAP4(32,42) GAP4(32,44)
Real polynomial:

x^64-960*x^62+304560*x^60-49785600*x^58+4963485600*x^56-329153328000*x^54+15\
297857604000*x^52-516082960800000*x^50+12966201235530000*x^48-24750523293840\
0000*x^46+3647451056625000000*x^44-42037714178352000000*x^42+382843214267454\
000000*x^40-2777497719847560000000*x^38+16151217999540750000000*x^36-7561103\
0941249200000000*x^34+285768629228188237500000*x^32-873124288817058000000000\
*x^30+2156471643207262500000000*x^28-4299246605631240000000000*x^26+68989366\
95012315000000000*x^24-8871785813787300000000000*x^22+9086975588518875000000\
000*x^20-7352314700571000000000000*x^18+4647792522767062500000000*x^16-22619\
33235675000000000000*x^14+830617408608750000000000*x^12-22380686370000000000\
0000*x^10+42513065662500000000000*x^8-5365257750000000000000*x^6+41047256250\
0000000000*x^4-16402500000000000000*x^2+256289062500000000

Common denominator of the automorphisms:

223423118535277842586250598782583277556281235539201320960000000000000000

Complex polynomial:

x^64-5280*x^56+368640*x^52+59488704*x^48-1752662016*x^44+25719593472*x^40-35\
5260432384*x^36+3325067822592*x^32-12789375565824*x^28+33332593139712*x^24-8\
1772199018496*x^20+99918179057664*x^16+22290251120640*x^12-11493410734080*x^\
8+2821109907456

Common denominator of the automorphisms:

300701223547701795185184894615552

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.