Group GAP4(96,199)

Name: Q8 x A4
Maximal quotients:GAP4(24,11) GAP4(48,49)
Real polynomial:
x^96-684*x^94+205092*x^92-35942940*x^90+4154272929*x^88-339298646904*x^86+20\
487222152712*x^84-943949040005196*x^82+33966604559053188*x^80-97142608043732\
9160*x^78+22383341513108810496*x^76-420019594690237364916*x^74+6474477600334\
062714546*x^72-82565546186026421918496*x^70+876148604508023924090148*x^68-77\
73722019503117915621400*x^66+57899512389473696975155596*x^64-363182466420072\
220709402136*x^62+1923595294283373172809788892*x^60-862046745774130614341899\
2600*x^58+32737346662699876610227137480*x^56-105466875162642993413140442460*\
x^54+288420829144265757929593941720*x^52-669701215837754499202325165520*x^50\
+1320158122055564570930397510585*x^48-2208303310055694971947342684560*x^46+3\
132103349575359373031280986940*x^44-3762520261867108824917161427820*x^42+382\
2721641666903582985929352200*x^40-3279165659473360124428966595700*x^38+23699\
84798687766538311983822868*x^36-1439608159490848089961126618872*x^34+7328057\
24909333955843954702306*x^32-311515190801158608781792244460*x^30+11014006314\
0476721497629047012*x^28-32232829694177658463947041112*x^26+7763788130923055\
463258637971*x^24-1528831186504285729345117848*x^22+244178350245659765821655\
484*x^20-31333243459979831742334260*x^18+3193717065535216978952283*x^16-2549\
70657701099346215268*x^14+15664057283372266782288*x^12-723613341532871418768\
*x^10+24356860392732990939*x^8-570901182179116860*x^6+8684143387717788*x^4-7\
5691115776908*x^2+282429536481
Common denominator of the automorphisms:
3510306354640828216065968351313098215239297811059166825267761069595715124199\
2096050199894530532208084013078460089189125062712635053276090010974267555800\
0849299230315290217792426740877607923278971504651136742963868000000
Complex polynomial:
x^96-48*x^94+1152*x^92+4608*x^90+1120176*x^88-34774272*x^86+727377408*x^84-9\
513345024*x^82+118022300640*x^80-1114562260224*x^78+10252594040832*x^76-7772\
0136615936*x^74+696125594907648*x^72-4995603043301376*x^70+37642669669011456\
*x^68-207977433540820992*x^66+1220744392386944256*x^64-5346389614392299520*x\
^62+31421801694534893568*x^60-134628244889867845632*x^58+6113207168908901130\
24*x^56-2174210401359421292544*x^54+7576671742178893037568*x^52-212278177653\
35920017408*x^50+57561385079046066020352*x^48-128498499890594553397248*x^46+\
277242384802322498715648*x^44-496308050830697631842304*x^42+8823150113520543\
04014336*x^40-1292693747924263691354112*x^38+1990258416973086808080384*x^36-\
2476670477885930729373696*x^34+3469627375315892644478976*x^32-36829465076559\
75681392640*x^30+4709955947919037572317184*x^28-3893620675626668440682496*x^\
26+4212284286098091958861824*x^24-2498389246684606966530048*x^22+21465875392\
35568110010368*x^20-977504904675873326628864*x^18+620686348237083896709120*x\
^16-214249071133104122363904*x^14+107201139398188260655104*x^12-234897357545\
06362159104*x^10+10431809759722724130816*x^8-1042443894430755717120*x^6+4548\
84608478875222016*x^4+4738381338321616896
Common denominator of the automorphisms:
2924465631565503242321272622972993925107518634543838270834383665853553050613\
7812250650392208404957407742879685816303755005792034672238622680424032239616

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.