Group GAP4(64,223)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,49) GAP4(32,50)
Real polynomial:

x^64-480*x^62+97600*x^60-11244000*x^58+832245000*x^56-42505248000*x^54+15681\
76352000*x^52-43135626480000*x^50+905112201950000*x^48-14737780272000000*x^4\
6+188679771254400000*x^44-1918725208680000000*x^42+15622458324196000000*x^40\
-102470479503600000000*x^38+543935688083200000000*x^36-234409434387120000000\
0*x^34+8216647372077300000000*x^32-23440943438712000000000*x^30+543935688083\
20000000000*x^28-102470479503600000000000*x^26+156224583241960000000000*x^24\
-191872520868000000000000*x^22+188679771254400000000000*x^20-147377802720000\
000000000*x^18+90511220195000000000000*x^16-43135626480000000000000*x^14+156\
81763520000000000000*x^12-4250524800000000000000*x^10+832245000000000000000*\
x^8-112440000000000000000*x^6+9760000000000000000*x^4-480000000000000000*x^2\
+10000000000000000

Common denominator of the automorphisms:

41153721544361221069658606494290000000000000000000

Complex polynomial:

x^64+5600*x^56+8477500*x^48-3071500000*x^40+354402343750*x^32-1919687500000*\
x^24+3311523437500*x^16+1367187500000*x^8+152587890625

Common denominator of the automorphisms:

190957500000000000000

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