Group GAP4(64,116)

Name: (C8 x C2 x C2) : C2
Maximal quotients:GAP4(32,25) GAP4(32,37) GAP4(32,38)
Real polynomial:

x^64-320*x^62+45320*x^60-3788800*x^58+210141620*x^56-8232718400*x^54+2367249\
64400*x^52-5123507536000*x^50+84925939145050*x^48-1091378820976000*x^46+1096\
9382334419000*x^44-86778780353000000*x^42+542825916982722000*x^40-2693703594\
852000000*x^38+10628638483858875000*x^36-33396447478906000000*x^34+836355250\
96186881875*x^32-166982237394530000000*x^30+265715962096471875000*x^28-33671\
2949356500000000*x^26+339266198114201250000*x^24-271183688603125000000*x^22+\
171396598975296875000*x^20-85263970388750000000*x^18+33174194978535156250*x^\
16-10006850656250000000*x^14+2311767230468750000*x^12-401988203125000000*x^1\
0+51304106445312500*x^8-4625000000000000*x^6+276611328125000*x^4-97656250000\
00*x^2+152587890625

Common denominator of the automorphisms:

3474372020717068227128971469906965178861561010939993283124644574707031250000

Complex polynomial:

x^64+353*x^48+448*x^32+353*x^16+1

Common denominator of the automorphisms:

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