Group GAP4(96,140)

Name: C2 x ((C3 : C8) : C2)
Maximal quotients:GAP4(32,40) GAP4(48,16) GAP4(48,43)
Real polynomial:
x^96-432*x^94+87264*x^92-10979712*x^90+967336560*x^88-63616109184*x^86+32515\
43316480*x^84-132807762279936*x^82+4423778177832864*x^80-122044049442353664*\
x^78+2822661562939711488*x^76-55262969022238746624*x^74+92313304713703554048\
0*x^72-13241953821695264077824*x^70+163984963864015454515200*x^68-1760832884\
661277630464000*x^66+16453141437184807944745728*x^64-13417015271196546619088\
4864*x^62+957065918344156495448875008*x^60-5982466091526120903416414208*x^58\
+32812362021144778414597251072*x^56-158047951438988215306304126976*x^54+6688\
51763038172893862635438080*x^52-2487043380353927601880377851904*x^50+8122742\
430027282715084310421504*x^48-23284716982397100607839911018496*x^46+58518925\
693582046978668012240896*x^44-128736874380666592522343951106048*x^42+2474099\
77588456838221336431624192*x^40-414332181414628154184009145909248*x^38+60278\
8190154501934600978412077056*x^36-759027988321286397597180518989824*x^34+823\
574790623249050848419964321792*x^32-765957499054285494627655908065280*x^30+6\
06773623179013943556809668165632*x^28-406353115275638092794486960685056*x^26\
+227994003857258229265713573396480*x^24-106016325279966042544123731247104*x^\
22+40320657220356059848157738041344*x^20-12341465152427533754724520034304*x^\
18+2979683903406075880513172668416*x^16-553280178450123112267150000128*x^14+\
76485598394834476516465704960*x^12-7543015914808192587005952000*x^10+5009267\
64980750086223953920*x^8-20649739515569917856317440*x^6+46840759782723487059\
1488*x^4-4852102490441335701504*x^2+14975624970497949696
Common denominator of the automorphisms:
1424563035792702182568231849933161143474009485507308794928003239718362024551\
5621658337937927281725959914162288927681826094975801763401880852434771008417\
84163391009846214248106158997762998272
Complex polynomial:
x^96-84043008*x^72+15892257799692288*x^48-182943335278706688*x^24+4738381338\
321616896
Common denominator of the automorphisms:
242849819083223798160461660160

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.