Group GAP4(64,192)
Name: C4 x C4 x C2 x C2
Maximal quotients:GAP4(32,21) GAP4(32,45)
Real polynomial:
x^64-128*x^62+7808*x^60-302080*x^58+8322273*x^56-173777520*x^54+2858213680*x\
^52-37991208320*x^50+415451372256*x^48-3785661633536*x^46+29007713260544*x^4\
4-188116139991040*x^42+1036913074087007*x^40-4870268562136496*x^38+195106171\
50491248*x^36-66632202447448448*x^34+193629381815741663*x^32-477187452388554\
688*x^30+992494369678373056*x^28-1730751310712455680*x^26+250894194949328975\
9*x^24-2990455162012833232*x^22+2890166426016426512*x^20-2225041899546165376\
*x^18+1333798515987184544*x^16-604416266876072960*x^14+199148604742775808*x^\
12-45300658563670016*x^10+6635997023707937*x^8-569657450443280*x^6+250544537\
58544*x^4-453123346560*x^2+1313410081
Common denominator of the automorphisms:
505140117042980925
Complex polynomial:
x^64+x^56-x^40-x^32-x^24+x^8+1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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