Group GAP4(64,233)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,50)
Real polynomial:

x^64-240*x^62+23028*x^60-1200960*x^58+38724374*x^56-831011280*x^54+124553711\
76*x^52-134916766320*x^50+1083260750833*x^48-6572767360080*x^46+305921543073\
84*x^44-110502600638160*x^42+312568352051942*x^40-697112516345760*x^38+12320\
71653959148*x^36-1731605398357200*x^34+1939202233624228*x^32-173160539835720\
0*x^30+1232071653959148*x^28-697112516345760*x^26+312568352051942*x^24-11050\
2600638160*x^22+30592154307384*x^20-6572767360080*x^18+1083260750833*x^16-13\
4916766320*x^14+12455371176*x^12-831011280*x^10+38724374*x^8-1200960*x^6+230\
28*x^4-240*x^2+1

Common denominator of the automorphisms:

2492923649826938272029851789399533995264000

Complex polynomial:

x^64+12*x^60+548*x^56-1392*x^52+120256*x^48+88704*x^44+1648064*x^40-850944*x\
^36+12007168*x^32-3403776*x^28+26369024*x^24+5677056*x^20+30785536*x^16-1425\
408*x^12+2244608*x^8+196608*x^4+65536

Common denominator of the automorphisms:

296936364705497088000

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