Group GAP4(96,216)

Name: (D8 x S3) : C2
Maximal quotients:GAP4(32,49) GAP4(48,51)
Real polynomial:
x^96-360*x^94+59184*x^92-5927040*x^90+407027208*x^88-20457377280*x^86+784234\
473408*x^84-23591941264080*x^82+568580964973200*x^80-11151425029680000*x^78+\
180164484498340368*x^76-2421140391363349440*x^74+27276892854802388720*x^72-2\
59298116521291637920*x^70+2091064033058908844160*x^68-1437005476333509886080\
0*x^66+84475034338782810687264*x^64-426167583935377570179840*x^62+1850130805\
044251696320512*x^60-6927770563068381744502080*x^58+224172269863106250166058\
88*x^56-62782203921689908759910400*x^54+152360740918388447124130368*x^52-320\
667630619628479888707840*x^50+585587907082401459409585248*x^48-9279687580870\
43565843120000*x^46+1275731394028335076430377728*x^44-1520439130673478732655\
411200*x^42+1569153845099781285368761728*x^40-1400025220417878366790379520*x\
^38+1077526780453674132887227392*x^36-713382364869097739415494400*x^34+40485\
1796611489663361167104*x^32-196101442193226216753715200*x^30+806510440092368\
10235656960*x^28-27986895329857052956738560*x^26+8132881281695338170617600*x\
^24-1961412946826350471994880*x^22+388379539387660366061568*x^20-62332635586\
264971448320*x^18+7984163862772865226240*x^16-801054944745634344960*x^14+615\
18724846244978688*x^12-3512401004752174080*x^10+143418679833351168*x^8-39592\
28291235840*x^6+67351572900864*x^4-585496719360*x^2+1475789056
Common denominator of the automorphisms:
4016046362077489832696335498178631838821865959674894690245390846252265000871\
0120622680293697848221261049505529051055915279288321301843290641312548001510\
3867382547986428926838198540941887222597698318626676657860608481770448516920\
5955596104092223209630510284800
Complex polynomial:
x^96-624195000*x^84+206071321876031250*x^72-47708267591817421875000*x^60+583\
9988505232425488525390625*x^48-3864369674937211171875000000000*x^36+13520339\
42828641031250000000000000*x^24-331722814995000000000000000000000*x^12+43046\
721000000000000000000000000
Common denominator of the automorphisms:
8020609791424910734404543704233642458000000000000000000000000

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.