Group GAP4(32,26)
Name: C4 x Q8
Maximal quotients:GAP4(16,10) GAP4(16,12) GAP4(16,13)
Real polynomial:
x^32-84*x^30+3168*x^28-70884*x^26+1047537*x^24-10771380*x^22+79066692*x^20-4\
18090572*x^18+1585517490*x^16-4231923732*x^14+7652027232*x^12-8733915720*x^1\
0+5491650312*x^8-1424550564*x^6+133372008*x^4-1994544*x^2+6561
Common denominator of the automorphisms:
6950592230301
Complex polynomial:
x^32+12*x^30+108*x^28+900*x^26+7335*x^24+24948*x^22+66744*x^20+158760*x^18+3\
34449*x^16+476280*x^14+600696*x^12+673596*x^10+594135*x^8+218700*x^6+78732*x\
^4+26244*x^2+6561
Common denominator of the automorphisms:
5112722673
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.