Group GAP4(96,85)

Name: (C2 x (C3 : Q8)) : C2
Maximal quotients:GAP4(32,29) GAP4(48,34) GAP4(48,38) GAP4(48,39)
Real polynomial:

x^96-384*x^94+70320*x^92-8180544*x^90+679468152*x^88-42935627232*x^86+214772\
9752016*x^84-87374262808032*x^82+2947470186837372*x^80-83647105190359008*x^7\
8+2019224385998830512*x^76-41819828595484186080*x^74+748132365729402138568*x\
^72-11622273652250771409504*x^70+157451794941346730580240*x^68-1866272790191\
112040816224*x^66+19402885363198514474052486*x^64-17726712313620997100459376\
0*x^62+1425011595069736392188471696*x^60-10087238331529662916203315168*x^58+\
62895980467703661874466468424*x^56-345394349777271399112450124448*x^54+16696\
12913962730794494792889008*x^52-7097705757771710852455356772512*x^50+2649986\
5755114721923897109071004*x^48-86744293321256186992571401505184*x^46+2484149\
48183903374396055194105872*x^44-620770760495864179074643568463264*x^42+13494\
95630002615690089304543538424*x^40-2542951611052283927116717052353056*x^38+4\
136264686918395636473555335959344*x^36-5779000058480913058090708552135200*x^\
34+6895634433835053273170545193612481*x^32-697950093319757107604514371669212\
8*x^30+5944101512206950191317846126325760*x^28-42180389913835140476195226814\
90272*x^26+2464241248084459564286528012259328*x^24-1167587564982671282323569\
472285440*x^22+440173826817994008305698402843968*x^20-1287861856069529080900\
09180879104*x^18+28290608356826547990629324074272*x^16-446282917352777388739\
6523349504*x^14+476936962635804893733628104704*x^12-323815927418452974667843\
59936*x^10+1359211625135186668869921792*x^8-34525577949852941676146688*x^6+5\
04874178276126175360000*x^4-3754212516585090772992*x^2+9991931216354611456

Common denominator of the automorphisms:

2543737709780072985889295196798769709560504736444889574990516015741454119065\
9053054017229735244506572039467141730431196427853470300632165077387594888382\
0857446360824901164144962272142609597602638390039060364935609207321526527117\
0466874881924595670889456594837302371048338579648180607520647714630107786778\
267676352663921615161272552136638883430400

Complex polynomial:

x^96+144*x^90+10368*x^84+374544*x^78+3481020*x^72-214574832*x^66+3151612800*\
x^60-27304541424*x^54+165426536358*x^48-737222618448*x^42+2297525731200*x^36\
-4223476418256*x^30+1849956749820*x^24+5374297023408*x^18+4016775629952*x^12\
+1506290861232*x^6+282429536481

Common denominator of the automorphisms:

56348260145982655281538931164243392

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.