Group GAP4(64,150)

Name: (C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,28) GAP4(32,43)
Real polynomial:

x^64-480*x^62+97600*x^60-11219520*x^58+825123840*x^56-41647180800*x^54+15095\
70867200*x^52-40544704089600*x^50+825332538272000*x^48-12946418671872000*x^4\
6+158429246590464000*x^44-1526175953075712000*x^42+11648185425842176000*x^40\
-70744819075276800000*x^38+342821651736002560000*x^36-1327114752557322240000\
*x^34+4103975772612541440000*x^32-10126534104970444800000*x^30+1989379950250\
1478400000*x^28-31013053724386099200000*x^26+38193471387310489600000*x^24-36\
938315980406784000000*x^22+27838154500472832000000*x^20-16182977259012096000\
000*x^18+7159643580416000000000*x^16-2367990558228480000000*x^14+57168615833\
6000000000*x^12-97562264862720000000*x^10+11266833776640000000*x^8-828899328\
000000000*x^6+35651584000000000*x^4-786432000000000*x^2+6553600000000

Common denominator of the automorphisms:

4382901043244137307549576857644476119837352372069123437363200000000

Complex polynomial:

x^64+576*x^56+146916*x^48+2161728*x^40+13675878*x^32-19455552*x^24+11900196*\
x^16-419904*x^8+6561

Common denominator of the automorphisms:

16068326400

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