Group GAP4(64,238)

Name: Q8 : Q8
Maximal quotients:GAP4(32,47) GAP4(32,48) GAP4(32,50)
Real polynomial:
x^64-576*x^62+143712*x^60-20753280*x^58+1955034720*x^56-128358082944*x^54+61\
23957742656*x^52-218396225013120*x^50+5938086666257424*x^48-1248316594508044\
80*x^46+2049162716541585024*x^44-26445766476721992192*x^42+26951016569929674\
0480*x^40-2174209923289411100160*x^38+13895960837498805305088*x^36-703154797\
21112069657088*x^34+281128080805143196131936*x^32-885092920358303701785600*x\
^30+2184212011584786768253440*x^28-4200470185811015731046400*x^26+6251765325\
932719371686400*x^24-7144330660887643474176000*x^22+621193051962852349017600\
0*x^20-4066373353197936579840000*x^18+1979093755129290337440000*x^16-7055347\
99820721292800000*x^14+180974306446756934400000*x^12-32675482850967936000000\
*x^10+4030746950247264000000*x^8-324785788076160000000*x^6+15882518180160000\
000*x^4-413248521600000000*x^2+4304672100000000
Common denominator of the automorphisms:
1475331244657426842766302115496516910130834499415588642319522765720776789481\
7612368825924039994986975364812800000000
Complex polynomial:
x^64+576*x^62+143712*x^60+20753280*x^58+1955034720*x^56+128358082944*x^54+61\
23957742656*x^52+218396225013120*x^50+5938086666257424*x^48+1248316594508044\
80*x^46+2049162716541585024*x^44+26445766476721992192*x^42+26951016569929674\
0480*x^40+2174209923289411100160*x^38+13895960837498805305088*x^36+703154797\
21112069657088*x^34+281128080805143196131936*x^32+885092920358303701785600*x\
^30+2184212011584786768253440*x^28+4200470185811015731046400*x^26+6251765325\
932719371686400*x^24+7144330660887643474176000*x^22+621193051962852349017600\
0*x^20+4066373353197936579840000*x^18+1979093755129290337440000*x^16+7055347\
99820721292800000*x^14+180974306446756934400000*x^12+32675482850967936000000\
*x^10+4030746950247264000000*x^8+324785788076160000000*x^6+15882518180160000\
000*x^4+413248521600000000*x^2+4304672100000000
Common denominator of the automorphisms:
1475331244657426842766302115496516910130834499415588642319522765720776789481\
7612368825924039994986975364812800000000

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.