Group GAP4(96,150)

Name: C2 x (C3 : Q16)
Maximal quotients:GAP4(32,41) GAP4(48,18) GAP4(48,43)
Real polynomial:
x^96-720*x^94+246240*x^92-53308800*x^90+8214706800*x^88-960619824000*x^86+88\
753207248000*x^84-6660247044960000*x^82+414167060506500000*x^80-216675483344\
49600000*x^78+964929917488514400000*x^76-36921588944949072000000*x^74+122298\
6033320469178500000*x^72-35283258555436408590000000*x^70+8910242050221211771\
80000000*x^68-19776987013554745729200000000*x^66+387107699702232429631350000\
000*x^64-6700083682622829784128000000000*x^62+102764361750902099924742000000\
000*x^60-1399088327945953444854660000000000*x^58+169287310597054214410809525\
00000000*x^56-182197184007427033522807800000000000*x^54+17449920413829458470\
85091300000000000*x^52-14873657649952799472097320000000000000*x^50+112796760\
039387886412433009843750000000*x^48-760597531571043620544102153750000000000*\
x^46+4555708808728539643955625712500000000000*x^44-2420433376934415242577416\
5050000000000000*x^42+113861614788067707441798588956250000000000*x^40-473172\
609021222334164276219750000000000000*x^38+1732238743725830965483970799750000\
000000000*x^36-5567699318764717961119261192500000000000000*x^34+156481715312\
55821051213935620937500000000000*x^32-38270515439717893663805596275000000000\
000000*x^30+80975621380948328747747791012500000000000000*x^28-14719719113198\
3575014614030250000000000000000*x^26+227943903200017988243793554226562500000\
000000*x^24-297613186331420476579204936406250000000000000*x^22+3234569685910\
19350208152461562500000000000000*x^20-28795692676222951743106333125000000000\
0000000*x^18+205681257204283058832389903906250000000000000*x^16-114697391697\
304703141022562500000000000000000*x^14+4810975281657489028137328125000000000\
0000000*x^12-14398690336508869731829687500000000000000000*x^10+2844170569896\
364381138242187500000000000000*x^8-32927990227210161795937500000000000000000\
0*x^6+18845908125570260029687500000000000000000*x^4-432768920065128562500000\
000000000000000*x^2+2930413785481426025390625000000000000
Common denominator of the automorphisms:
3061482401692663749197122846461871311996004967536738854991286326797989965213\
7214375605972448935321679478675687161041729197723103345590533392806196759603\
3542988231547678373284877458626474465922150410531359867948666242417965625000\
0000000000000000
Complex polynomial:
x^96+723240*x^88+10461989791260*x^80+2045213614014193560*x^72+81617461969177\
92288635910*x^64-23342204936340485633581131240*x^56+236565604125857447933291\
77821852*x^48-9295767797909607675842162679414360*x^40+1294480462451071009670\
231238115918785*x^32+101793483838037912044979084856693760*x^24+2549215267258\
23652010638791508623360*x^16-80620806366895725673591540285440*x^8+6992851322\
249675623341490176
Common denominator of the automorphisms:
2205591750064111730854484613611358152588598278392556976701170007813661421047\
1409155963796981729228688077838897713966111216777107282232143827015914611889\
2503342656614563840

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.