Group GAP4(64,143)
Name: C4 : Q16
Maximal quotients:GAP4(32,28) GAP4(32,41) GAP4(32,44)
Real polynomial:
x^64-2160*x^62+1808640*x^60-771087600*x^58+189360727200*x^56-28836727866000*\
x^54+2858565292416000*x^52-190994229152730000*x^50+8838910020048322500*x^48-\
289979563818503250000*x^46+6884479047755448000000*x^44-120377549224305335250\
000*x^42+1572424503154357675500000*x^40-15513512373780472878750000*x^38+1165\
37096812247014500000000*x^36-670215057510496854768750000*x^34+29603523481081\
67212727343750*x^32-10053225862657452821531250000*x^30+262208467827555782625\
00000000*x^28-52358104261509095965781250000*x^26+796039904721893573221875000\
00*x^24-91411701442206863955468750000*x^22+78418519153339399875000000000*x^2\
0-49545727036802078730468750000*x^18+22653159625600407782226562500*x^16-7342\
459789869501152343750000*x^14+1648392792498753750000000000*x^12-249430655824\
135839843750000*x^10+24568860894505664062500000*x^8-150068688439306640625000\
0*x^6+52799493726562500000000*x^4-945850803222656250000*x^2+6568408355712890\
625
Common denominator of the automorphisms:
1755003123444161306227318296013082470419025495045472022549903817199659687500\
0000000000
Complex polynomial:
x^64+2160*x^62+1808640*x^60+771087600*x^58+189360727200*x^56+28836727866000*\
x^54+2858565292416000*x^52+190994229152730000*x^50+8838910020048322500*x^48+\
289979563818503250000*x^46+6884479047755448000000*x^44+120377549224305335250\
000*x^42+1572424503154357675500000*x^40+15513512373780472878750000*x^38+1165\
37096812247014500000000*x^36+670215057510496854768750000*x^34+29603523481081\
67212727343750*x^32+10053225862657452821531250000*x^30+262208467827555782625\
00000000*x^28+52358104261509095965781250000*x^26+796039904721893573221875000\
00*x^24+91411701442206863955468750000*x^22+78418519153339399875000000000*x^2\
0+49545727036802078730468750000*x^18+22653159625600407782226562500*x^16+7342\
459789869501152343750000*x^14+1648392792498753750000000000*x^12+249430655824\
135839843750000*x^10+24568860894505664062500000*x^8+150068688439306640625000\
0*x^6+52799493726562500000000*x^4+945850803222656250000*x^2+6568408355712890\
625
Common denominator of the automorphisms:
1755003123444161306227318296013082470419025495045472022549903817199659687500\
0000000000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.