Group GAP4(96,6)

Name: D96
Maximal quotients:GAP4(32,18) GAP4(48,7)
Real polynomial:
x^96-352*x^94+56912*x^92-5649088*x^90+388226160*x^88-19746007712*x^86+775583\
827040*x^84-24227514717440*x^82+614934567964492*x^80-12888783027877248*x^78+\
225882754625381664*x^76-3342722836485028992*x^74+42095821193089315168*x^72-4\
53928591329904997824*x^70+4211999013578086187840*x^68-3376293627629248867993\
6*x^66+234518486945896701648452*x^64-1414904344057617406951296*x^62+74277890\
93263745230665344*x^60-33972047518605303599050752*x^58+135477530417887898427\
369856*x^56-471279502544660417740714496*x^54+1430154266969176740478350336*x^\
52-3784981013288104702072475648*x^50+8731055015261442343840074176*x^48-17538\
857783181089249607591936*x^46+30643401963508561982584416256*x^44-46493791473\
322809741936353280*x^42+61141265375748031665185862656*x^40-69523702657855700\
050715049984*x^38+68164798418923105536435843072*x^36-57430728271938817685079\
949312*x^34+41412210529430503265196732672*x^32-25434001879696462779295621120\
*x^30+13227961954282027431250845696*x^28-5785574765614591598652293120*x^26+2\
110219155628237195190419456*x^24-635312555771988856877481984*x^22+1558982053\
87300672546996224*x^20-30692432441934509108887552*x^18+475154667008328005011\
0464*x^16-563521948626467178151936*x^14+49441318739354831814656*x^12-3056778\
715398643122176*x^10+123903445371823063040*x^8-2913214618040008704*x^6+29803\
133389504512*x^4-546844966912*x^2+262144
Common denominator of the automorphisms:
1149643721660873047740051030836277399466928099583036790688989455618725961093\
1243281832156685726797302611154227577502083005576937573074333799662519894824\
8614288655895642238209401946278450820850244002739069315621387726931068417317\
0433341978744323944206817243390146057880247150155377583796716696063848169792\
1499979579484548333803506702899218651587701084102148669878068153493436969779\
2
Complex polynomial:
x^96-1064*x^88+425096*x^80-71237600*x^72+8525983760*x^64-145105196544*x^56+1\
2396555995136*x^48+9286732578816*x^40+34922429480960*x^32+18674509414400*x^2\
4+7131927412736*x^16+1142461300736*x^8+68719476736
Common denominator of the automorphisms:
1110123033155487022569274800811509022720

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.