Group GAP4(64,254)
Name: C2 x ((C2 x D8) : C2)
Maximal quotients:GAP4(32,43) GAP4(32,46)
Real polynomial:
x^64-180*x^62+13274*x^60-542952*x^58+14025291*x^56-246569400*x^54+3097109590\
*x^52-28745853876*x^50+201984323273*x^48-1093886533872*x^46+4628176727508*x^\
44-15456152133648*x^42+41063500710286*x^40-87306513047064*x^38+1491963721478\
96*x^36-205533390853728*x^34+228651580955778*x^32-205533390853728*x^30+14919\
6372147896*x^28-87306513047064*x^26+41063500710286*x^24-15456152133648*x^22+\
4628176727508*x^20-1093886533872*x^18+201984323273*x^16-28745853876*x^14+309\
7109590*x^12-246569400*x^10+14025291*x^8-542952*x^6+13274*x^4-180*x^2+1
Common denominator of the automorphisms:
96059006516161677953984215765348593070628769792
Complex polynomial:
x^64-42*x^56+1681*x^48-3402*x^40+5124*x^32-3402*x^24+1681*x^16-42*x^8+1
Common denominator of the automorphisms:
162489600
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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