Group GAP4(96,122)

Name: (Q8 x S3) : C2
Maximal quotients:GAP4(32,44) GAP4(48,38)
Real polynomial:
x^96-1200*x^94+684000*x^92-246733200*x^90+63311989500*x^88-12316021650000*x^\
86+1890132468750000*x^84-235146784891050000*x^82+24181780896887343750*x^80-2\
085785061738063750000*x^78+152592625237468038750000*x^76-9551327722721090718\
750000*x^74+515042656139606471367187500*x^72-24056606554553256705843750000*x\
^70+977471902207921144366406250000*x^68-34666802549649374406371718750000*x^6\
6+1075925786062287573102057275390625*x^64-2927760706893134604370928906250000\
0*x^62+699424567395217002974698699218750000*x^60-146802473461376216259840998\
43750000000*x^58+270791727564376987679587903417968750000*x^56-43890508291054\
92064549860621093750000000*x^54+62470368555727350033174556582031250000000*x^\
52-780008022653113197587656019707031250000000*x^50+8531425697624446623254781\
428759765625000000*x^48-81591131429461406797287411053320312500000000*x^46+68\
0754919925700189250689549405761718750000000*x^44-494218936322312713841802581\
9384765625000000000*x^42+31124967769869736799827844891169433593750000000*x^4\
0-169458722856790609415556242021484375000000000000*x^38+79453044914801538706\
2056917999072265625000000000*x^36-319441434472691176687730223782080078125000\
0000000*x^34+10961132452041446544608825527070617675781250000000*x^32-3193319\
9666028324875441631306723632812500000000000*x^30+785330553896013341102297297\
41735839843750000000000*x^28-16199395188098426393205536800927734375000000000\
0000*x^26+278247926662663428657360430859069824218750000000000*x^24-394661088\
044478961968265725739746093750000000000000*x^22+4577172690721547143786257093\
38378906250000000000000*x^20-42890872091782115345029097222900390625000000000\
0000*x^18+319926901487379638682064739227294921875000000000000*x^16-186339066\
349229153971462512817382812500000000000000*x^14+8259857529627813516250761566\
1621093750000000000000*x^12-268881721848655392937899353027343750000000000000\
00*x^10+6102350157856448657308021545410156250000000000000*x^8-89112247364717\
2662315490722656250000000000000000*x^6+7331548323498953528732299804687500000\
0000000000*x^4-2670223536646138558959960937500000000000000000*x^2+1859997016\
3522323703765869140625000000000000
Common denominator of the automorphisms:
9659056748683914787168073683981568165437496606176362858167243465880471257991\
0397942792404504891052592620492923644348486990694163725479303391626995178364\
9068083590353936480925624165325734004435645317861201184996983921635864603029\
135896561129294433593750000000000000000000
Complex polynomial:
x^96+28746035904*x^72+5160918243456*x^48+6407368704*x^24+331776
Common denominator of the automorphisms:
117001736730006036480000

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.