Group GAP4(96,108)
Name: (C24 x C2) : C2
Maximal quotients:GAP4(32,38) GAP4(48,35)
Real polynomial:
x^96-480*x^94+109500*x^92-15816560*x^90+1625991990*x^88-126784894800*x^86+78\
03094867400*x^84-389494587264000*x^82+16078538780574525*x^80-556968740901362\
000*x^78+16372116304924068000*x^76-411958489537501884000*x^74+89343500776700\
63441250*x^72-167919531147139956570000*x^70+2746902417238905522862500*x^68-3\
9242871304789549873530000*x^66+490893588981106203983906250*x^64-538723636961\
4069510356400000*x^62+51937928580469485197545612500*x^60-4402523491637230872\
33809850000*x^58+3282201108013467473685730368750*x^56-2151917623642609954278\
3139250000*x^54+124006515169622427376873532250000*x^52-627478308543385658216\
673121500000*x^50+2784080706618149694919161140453125*x^48-108118967850812699\
85493851228750000*x^46+36667092230238172054409786111250000*x^44-108298994982\
624596932697196997500000*x^42+277686349634220086617422616477968750*x^40-6158\
15157065456786915554068318750000*x^38+1176118095052968910008152140110937500*\
x^36-1924978365051027377682329908143750000*x^34+2684998575419156814437239683\
128906250*x^32-3171273884788914880449139463625000000*x^30+314869886995044931\
2294582618492187500*x^28-2606238251130781543274400623343750000*x^26+17812125\
97551106765007025259863281250*x^24-994052818944994816679532118593750000*x^22\
+447150709795611592237969974375000000*x^20-159653452879232112800513562187500\
000*x^18+44419650974060206237400941611328125*x^16-94155219708864265382853164\
06250000*x^14+1478041070395392930340107421875000*x^12-1656342260310326929469\
15625000000*x^10+12608636039191441249339746093750*x^8-6075926920843269011367\
18750000*x^6+16675055064477748098632812500*x^4-220140433429818503906250000*x\
^2+1064584123178926025390625
Common denominator of the automorphisms:
4026237019995484860206810576656454929108024732731965149927825909770597112794\
7119876518341345035951934634555782850664662905542341908732551367385912305031\
3580057258434809517507222417234932982062123966640129977293177286103896174111\
245031342738796588015971712556759546497182470556607164416000000000000
Complex polynomial:
x^96+47900561922*x^48+43046721
Common denominator of the automorphisms:
60482364873840
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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