Group GAP4(96,129)

Name: C2 x C4 x (C3 : C4)
Maximal quotients:GAP4(32,21) GAP4(48,11) GAP4(48,35) GAP4(48,42)
Real polynomial:
x^96-192*x^94+17856*x^92-1071616*x^90+46650240*x^88-1569908736*x^86+42503825\
408*x^84-951321575424*x^82+17950789499904*x^80-289780305592320*x^78+40474895\
70668544*x^76-49349070701199360*x^74+528935872872771328*x^72-501190024490322\
7392*x^70+42173306938781872128*x^68-316282446768939696128*x^66+2120080775950\
765056000*x^64-12729956348332147212288*x^62+68582186460795001372672*x^60-331\
894654620239168274432*x^58+1443741743919072855785472*x^56-564663433764353226\
7814912*x^54+19853399501096371369279488*x^52-62717347540332968247558144*x^50\
+177844312948233202892341248*x^48-452075133816585459672809472*x^46+102834623\
5727050610822873088*x^44-2088705394956785532962603008*x^42+37780913788313661\
35658577920*x^40-6066697751217649129239871488*x^38+8615861342895423920843784\
192*x^36-10774986933705580470192832512*x^34+11805795022543102304418004992*x^\
32-11265613643246442888487239680*x^30+9297825556190646011481292800*x^28-6583\
211936053100408960188416*x^26+3960470128075785913065537536*x^24-200138073132\
2438218420322304*x^22+837881893317896770192146432*x^20-285728274779194624747\
503616*x^18+77706669134029598993940480*x^16-16403686867816979550437376*x^14+\
2593379886308657645748224*x^12-292308380898902673457152*x^10+218657800330072\
12560384*x^8-970231818522250444800*x^6+21020606442491609088*x^4-159670528829\
816832*x^2+245332826914816
Common denominator of the automorphisms:
5478928718233600
Complex polynomial:
x^96+192*x^94+17856*x^92+1071616*x^90+46650240*x^88+1569908736*x^86+42503825\
408*x^84+951321575424*x^82+17950789499904*x^80+289780305592320*x^78+40474895\
70668544*x^76+49349070701199360*x^74+528935872872771328*x^72+501190024490322\
7392*x^70+42173306938781872128*x^68+316282446768939696128*x^66+2120080775950\
765056000*x^64+12729956348332147212288*x^62+68582186460795001372672*x^60+331\
894654620239168274432*x^58+1443741743919072855785472*x^56+564663433764353226\
7814912*x^54+19853399501096371369279488*x^52+62717347540332968247558144*x^50\
+177844312948233202892341248*x^48+452075133816585459672809472*x^46+102834623\
5727050610822873088*x^44+2088705394956785532962603008*x^42+37780913788313661\
35658577920*x^40+6066697751217649129239871488*x^38+8615861342895423920843784\
192*x^36+10774986933705580470192832512*x^34+11805795022543102304418004992*x^\
32+11265613643246442888487239680*x^30+9297825556190646011481292800*x^28+6583\
211936053100408960188416*x^26+3960470128075785913065537536*x^24+200138073132\
2438218420322304*x^22+837881893317896770192146432*x^20+285728274779194624747\
503616*x^18+77706669134029598993940480*x^16+16403686867816979550437376*x^14+\
2593379886308657645748224*x^12+292308380898902673457152*x^10+218657800330072\
12560384*x^8+970231818522250444800*x^6+21020606442491609088*x^4+159670528829\
816832*x^2+245332826914816
Common denominator of the automorphisms:
5478928718233600

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.