Group GAP4(64,193)

Name: C2 x C2 x ((C4 x C2) : C2)
Maximal quotients:GAP4(32,22) GAP4(32,45) GAP4(32,46)
Real polynomial:
x^64-288*x^62+38128*x^60-3091936*x^58+172609496*x^56-7065988896*x^54+2205621\
56176*x^52-5388636657120*x^50+104940317588988*x^48-1650442978217376*x^46+211\
62020783733872*x^44-222716015546952032*x^42+1932947535432377128*x^40-1387609\
2674045796768*x^38+82522788846266123152*x^36-406689734002654802784*x^34+1659\
318275987798844838*x^32-5592900907412803205984*x^30+15519730176222327831888*\
x^28-35280515588084633368992*x^26+65269088841830593619816*x^24-9741133440386\
9739311456*x^22+115958011523668527058992*x^20-108481558315454627329440*x^18+\
78231238723527042046396*x^16-42395291710606593777120*x^14+166911323040125112\
38480*x^12-4564099159368088618784*x^10+817448319935178239256*x^8-89217920327\
465035232*x^6+5420269180464224688*x^4-159099472670992672*x^2+173975071108176\
1
Common denominator of the automorphisms:
5485804655019926690090532839798696169404138822498735215664431104
Complex polynomial:
x^64-17*x^56+129*x^48-2686*x^40+25310*x^32-2686*x^24+129*x^16-17*x^8+1
Common denominator of the automorphisms:
9796864

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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