Group GAP4(96,84)

Name: (C4 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,24) GAP4(48,35) GAP4(48,39)
Real polynomial:
x^96-372*x^94+65580*x^92-7302948*x^90+577679940*x^88-34603916472*x^86+163399\
5813582*x^84-62512150382784*x^82+1976257729163682*x^80-52397275590409680*x^7\
8+1178401827409694460*x^76-22680768971685884796*x^74+376232677058682146043*x\
^72-5409039032764257048012*x^70+67698855841516417258830*x^68-740228406427869\
777065268*x^66+7090193446484386315624911*x^64-59614440010518317436078120*x^6\
2+440640691413806552472573084*x^60-2865959604114287836281470280*x^58+1641028\
4644231037745817408620*x^56-82726294239821278285344168624*x^54+3670279036030\
47515376038508612*x^52-1432074632728624713772269439608*x^50+4908751846943836\
653362563532595*x^48-14760286552397071415377389747420*x^46+38866304422057138\
883413509515040*x^44-89434250326173586338779199339780*x^42+17941016584127938\
5005273807372550*x^40-312914326928295165880634263596600*x^38+473063387790282\
904128434747754978*x^36-617811754723139758430386907564256*x^34+6943721230429\
96270423452903466065*x^32-668781438107802288315477221747124*x^30+54934703780\
8063698539164934900820*x^28-382731818089106534350322870756064*x^26+224730711\
281514983171800752189477*x^24-110382227081043086272080516157692*x^22+4494952\
5472858392545460021572940*x^20-15012054977891242839592291020900*x^18+4057516\
748853345912068888750961*x^16-872870564945688395889701408904*x^14+1463167593\
87824037454657412976*x^12-18591846374937235835914632612*x^10+172628920384673\
3000425302795*x^8-111378140348336110466545860*x^6+4640770424744168727681918*\
x^4-110565452256487193006604*x^2+1131982376606429699961
Common denominator of the automorphisms:
1939016456465859328648112301211304101054451561554554666595122739035165848358\
5477470035223580003224862729819257898299467576887391693832814117396276814994\
3163103732351025456483192115837758534902916797234120586577079952785079905596\
0601092172077102194498617461050901088452724629779200
Complex polynomial:
x^96-2280*x^90+1155180*x^84+184870800*x^78+7634099448*x^72-165248791416*x^66\
+1009448045820*x^60-1892462135184*x^54+1029847899438*x^48+281167452072*x^42-\
313291269612*x^36+85588157520*x^30+49090924152*x^24-11971515528*x^18+9960385\
32*x^12-31177872*x^6+531441
Common denominator of the automorphisms:
33775105135779202947291912533003160255928657252825301632297916767284000

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.