Group GAP4(64,160)

Name: (C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)
Maximal quotients:GAP4(32,29) GAP4(32,42) GAP4(32,44)
Real polynomial:
x^64-816*x^62+303960*x^60-68832864*x^58+10648103850*x^56-1198870024176*x^54+\
102211281075384*x^52-6777881692754400*x^50+356289066245053071*x^48-150519498\
53135831136*x^46+516169647819027213012*x^44-14470263737402464882656*x^42+333\
209668630109361392322*x^40-6320587701729453681342960*x^38+988844970495713617\
57122036*x^36-1275688015170474575721730320*x^34+1355115855411210439177293597\
3*x^32-118225131277242215098900078416*x^30+844099180471870215203036456460*x^\
28-4909856990095130612092442832816*x^26+23140285890344959369292093493000*x^2\
4-87794537714393763895219315383840*x^22+266047842554906229109092180627792*x^\
20-637732323943580979971770063126896*x^18+1194338954472145353158659664677164\
*x^16-1719035641809517863975974317876320*x^14+185866338730534556570927979114\
1248*x^12-1460192591377353636985800302577504*x^10+79133736402588530873162805\
3920736*x^8-270611538721590174067343537644608*x^6+48791670237897131688645585\
339936*x^4-2815283184267857017942484276544*x^2+33515276003188774023124812816
Common denominator of the automorphisms:
1041448826760980001800663469531331600667955152815454804302462313845864398777\
53307919655193503083075682430207593864922505381536
Complex polynomial:
x^64+816*x^62+303960*x^60+68832864*x^58+10648103850*x^56+1198870024176*x^54+\
102211281075384*x^52+6777881692754400*x^50+356289066245053071*x^48+150519498\
53135831136*x^46+516169647819027213012*x^44+14470263737402464882656*x^42+333\
209668630109361392322*x^40+6320587701729453681342960*x^38+988844970495713617\
57122036*x^36+1275688015170474575721730320*x^34+1355115855411210439177293597\
3*x^32+118225131277242215098900078416*x^30+844099180471870215203036456460*x^\
28+4909856990095130612092442832816*x^26+23140285890344959369292093493000*x^2\
4+87794537714393763895219315383840*x^22+266047842554906229109092180627792*x^\
20+637732323943580979971770063126896*x^18+1194338954472145353158659664677164\
*x^16+1719035641809517863975974317876320*x^14+185866338730534556570927979114\
1248*x^12+1460192591377353636985800302577504*x^10+79133736402588530873162805\
3920736*x^8+270611538721590174067343537644608*x^6+48791670237897131688645585\
339936*x^4+2815283184267857017942484276544*x^2+33515276003188774023124812816
Common denominator of the automorphisms:
1041448826760980001800663469531331600667955152815454804302462313845864398777\
53307919655193503083075682430207593864922505381536

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.