Group GAP4(96,57)

Name: C3 x (C8 : C4)
Maximal quotients:GAP4(32,14) GAP4(48,22) GAP4(48,25) GAP4(48,27)
Real polynomial:
x^96-2304*x^94+1806816*x^92-705147696*x^90+159207374420*x^88-22723731202272*\
x^86+2183851053748944*x^84-147988077480753456*x^82+7314649276526233422*x^80-\
270407766315456626880*x^78+7619469884439687696816*x^76-166065171089395854365\
184*x^74+2832618351336060215931942*x^72-38187222101077203416629152*x^70+4103\
63536203833825381197200*x^68-3541937865250157467160124960*x^66+2472398095253\
1877405393585165*x^64-140442429288904927350468444000*x^62+652822111851797011\
380238876032*x^60-2495356080606949103717565741312*x^58+787660104754669469804\
0852019882*x^56-20603443037077953534334837422144*x^54+4478778450168665339678\
4375412272*x^52-81081971218029585016237501001712*x^50+1224246212550195100115\
79865942529*x^48-154292636959386193339079237904960*x^46+16234259128837209945\
0846507897216*x^44-142542499188781636217265923314944*x^42+104336144942077599\
782133729172800*x^40-63561989395369110708177144654336*x^38+32155659045076269\
534174342927360*x^36-13469463944731064010804279816192*x^34+46546449890238615\
57376856624640*x^32-1320976648107287437582653112320*x^30+3061561013372440823\
04347062272*x^28-57547259907393982212556849152*x^26+869798928821732074311046\
7584*x^24-1045937406651766423164420096*x^22+98751963950801400844517376*x^20-\
7201603380326994017255424*x^18+397582227535395889676288*x^16-162186327179052\
96359424*x^14+475180465979790458880*x^12-9680652543310430208*x^10+1320860313\
20088576*x^8-1150338874736640*x^6+5953831305216*x^4-16106127360*x^2+16777216
Common denominator of the automorphisms:
3492727563767538586523882415255010711650878871505308843673803275602983214328\
5216663030536769265388733365868321731860524907004161911992414485956554548466\
5649217737443827992599678847925567148893953877168498032524926416749991869929\
6487609149141159004215420226847924806495518141381161017382071427403490481479\
9730769920000
Complex polynomial:
x^96+2304*x^94+1806816*x^92+705147696*x^90+159207374420*x^88+22723731202272*\
x^86+2183851053748944*x^84+147988077480753456*x^82+7314649276526233422*x^80+\
270407766315456626880*x^78+7619469884439687696816*x^76+166065171089395854365\
184*x^74+2832618351336060215931942*x^72+38187222101077203416629152*x^70+4103\
63536203833825381197200*x^68+3541937865250157467160124960*x^66+2472398095253\
1877405393585165*x^64+140442429288904927350468444000*x^62+652822111851797011\
380238876032*x^60+2495356080606949103717565741312*x^58+787660104754669469804\
0852019882*x^56+20603443037077953534334837422144*x^54+4478778450168665339678\
4375412272*x^52+81081971218029585016237501001712*x^50+1224246212550195100115\
79865942529*x^48+154292636959386193339079237904960*x^46+16234259128837209945\
0846507897216*x^44+142542499188781636217265923314944*x^42+104336144942077599\
782133729172800*x^40+63561989395369110708177144654336*x^38+32155659045076269\
534174342927360*x^36+13469463944731064010804279816192*x^34+46546449890238615\
57376856624640*x^32+1320976648107287437582653112320*x^30+3061561013372440823\
04347062272*x^28+57547259907393982212556849152*x^26+869798928821732074311046\
7584*x^24+1045937406651766423164420096*x^22+98751963950801400844517376*x^20+\
7201603380326994017255424*x^18+397582227535395889676288*x^16+162186327179052\
96359424*x^14+475180465979790458880*x^12+9680652543310430208*x^10+1320860313\
20088576*x^8+1150338874736640*x^6+5953831305216*x^4+16106127360*x^2+16777216
Common denominator of the automorphisms:
3492727563767538586523882415255010711650878871505308843673803275602983214328\
5216663030536769265388733365868321731860524907004161911992414485956554548466\
5649217737443827992599678847925567148893953877168498032524926416749991869929\
6487609149141159004215420226847924806495518141381161017382071427403490481479\
9730769920000

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.