Group GAP4(96,141)

Name: D8 x (C3 : C4)
Maximal quotients:GAP4(32,25) GAP4(48,38) GAP4(48,39) GAP4(48,42)
Real polynomial:
x^96-456*x^94+98604*x^92-13472224*x^90+1307524326*x^88-96080932920*x^86+5564\
101013720*x^84-260976974545512*x^82+10111974552492765*x^80-32849879430808874\
4*x^78+9050284871630840208*x^76-213367968872203437096*x^74+43356193120475266\
89794*x^72-76371931821431503059648*x^70+1171651417080174990518340*x^68-15713\
477621189649084849848*x^66+184779868559774726573289306*x^64-1909701728352695\
520916298952*x^62+17377304272054731875840274244*x^60-13940140675812053510847\
5792784*x^58+986702202331650475295182912446*x^56-616487180144018864693321516\
7912*x^54+34001152124572143047557859128320*x^52-1654780227616973753642604438\
73032*x^50+710139448357541626984886903523781*x^48-26841984130057589576657384\
21127864*x^46+8922561015487555473287026446908832*x^44-2603272540583196352811\
0480966694168*x^42+66505349393736801976991264971428366*x^40-1483312591103970\
70053162545207581920*x^38+287829491158379608534746052448311612*x^36-48392003\
3145883712255207054837483688*x^34+701513398427401273284900627373023738*x^32-\
871835472376204554197236801434745432*x^30+9226406422457858179872296815088778\
84*x^28-824798073813832592413637590276655952*x^26+61690679298818579636940042\
7309665554*x^24-381616045496871743667210637328493912*x^22+192496374128543920\
167122752836532944*x^20-77794474919278954275998142226168536*x^18+24628826134\
672688956341152044923261*x^16-5930741858864930069717639901579960*x^14+104370\
4314106141211844737157597320*x^12-126868481343401465937544425498600*x^10+981\
4295596876276648523105124150*x^8-431476434872348586843201782000*x^6+98483048\
87468744402947540500*x^4-98039543308170192989205000*x^2+21614815904480155560\
0625
Common denominator of the automorphisms:
2197330956500520360441843022583922803058430189634670973081476883511145075440\
2920284339834179679133300530651702654653861098024245144558046890152618205366\
6973925962708296716473851535299116861614895111914764106140617780249298953473\
308492277350400000
Complex polynomial:
x^96-134*x^90+8396*x^84-337992*x^78+5591296*x^72+35525088*x^66+348593600*x^6\
0+1226942080*x^54+5187956992*x^48+5773537280*x^42+453324800*x^36+19274563584\
*x^30+35515334656*x^24+5928124416*x^18+879755264*x^12+134217728*x^6+16777216
Common denominator of the automorphisms:
475182821287181961310891559825359012626432

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.