Group GAP4(64,155)

Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,29) GAP4(32,39) GAP4(32,44)
Real polynomial:

x^64-224*x^62+23264*x^60-1490848*x^58+66181912*x^56-2165834464*x^54+54289076\
832*x^52-1069109671200*x^50+16834048096412*x^48-214596095847264*x^46+2234510\
305098848*x^44-19124918010245664*x^42+135129016587984424*x^40-79039000925029\
5136*x^38+3833204393401325024*x^36-15422692445308113312*x^34+514650046064334\
06214*x^32-142281172023060883616*x^30+325273056131745388704*x^28-61321848287\
4885300960*x^26+949748560979973273000*x^24-1202415082724267132576*x^22+12362\
72831825109921568*x^20-1023529020019021693792*x^18+674840515110741504284*x^1\
6-349192682774962262816*x^14+139033553683188148256*x^12-41437758259707319136\
*x^10+8877824032470327448*x^8-1281883981374120224*x^6+110890505827143840*x^4\
-4317411182530016*x^2+1176580598209

Common denominator of the automorphisms:

6236249285228914013723295249860486175471734598602403854075287050324940058787\
84

Complex polynomial:

x^64+2384*x^56+50404*x^48+200816*x^40+303814*x^32+30704*x^24-11036*x^16+2273\
6*x^8+1

Common denominator of the automorphisms:

416831901312000

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