Group GAP4(64,149)

Name: (C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,28) GAP4(32,43) GAP4(32,44)
Real polynomial:
x^64-396*x^62+70048*x^60-7409556*x^58+528639804*x^56-27174201780*x^54+104899\
1340320*x^52-31276692826764*x^50+734881353006020*x^48-13809118897955964*x^46\
+209817884623022016*x^44-2598970598752424292*x^42+26401643277577385092*x^40-\
220859330415827622948*x^38+1525243104091273699264*x^36-870451447418553691350\
0*x^34+41036039257864626657462*x^32-159523652751211266250788*x^30+5096918680\
44897776897824*x^28-1331969326212800160751932*x^26+2827832166825023656760836\
*x^24-4833632149548844920206940*x^22+6573609570233100321988512*x^20-70027472\
37287944967488356*x^18+5723606114101001676583748*x^16-3490206297091182387428\
820*x^14+1527466565831118945862016*x^12-453892207801025650502604*x^10+843725\
49162642308445372*x^8-8677731802180685074380*x^6+417591145000143799168*x^4-8\
270951375442988980*x^2+45949729863572161
Common denominator of the automorphisms:
4772298523897708585749183036945940891716566456453312024500538961424596572357\
8368
Complex polynomial:
x^64-16*x^56+10852*x^48-12592*x^40+599494*x^32-12592*x^24+10852*x^16-16*x^8+\
1
Common denominator of the automorphisms:
211053782016

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.