Group GAP4(64,36)

Name: (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2
Maximal quotient:GAP4(32,6)
Real polynomial:

x^64-640*x^62+182720*x^60-30988800*x^58+3510444800*x^56-283316224000*x^54+16\
972303520000*x^52-776368395520000*x^50+27679981882280000*x^48-78102079879040\
0000*x^46+17641133492534400000*x^44-321698712999296000000*x^42+4765357695449\
664000000*x^40-57579860411166720000000*x^38+568903225603245760000000*x^36-46\
00463594358464000000000*x^34+30433664498494163800000000*x^32-164402493359648\
960000000000*x^30+722926876287541792000000000*x^28-2575912741090743040000000\
000*x^26+7392003106997944960000000000*x^24-16949269634306048000000000000*x^2\
2+30741946026333027200000000000*x^20-43551425355353472000000000000*x^18+4743\
0275472681028000000000000*x^16-38923033842627200000000000000*x^14+2346772302\
7940800000000000000*x^12-10063211144000000000000000000*x^10+2939291184659200\
000000000000*x^8-549940099072000000000000000*x^6+59773221536000000000000000*\
x^4-3162405120000000000000000*x^2+57648010000000000000000

Common denominator of the automorphisms:

2381320239326971216044409136915785800889830811657955212730320174206417932231\
354580510577183312746297979065019590537782169600000000000000000

Complex polynomial:

x^64+256*x^56+62212*x^48+2253056*x^40+24700422*x^32-2253056*x^24+62212*x^16-\
256*x^8+1

Common denominator of the automorphisms:

4100912762880

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