Group GAP4(96,188)

Name: C2 x (C2 . S4 = SL(2,3) . C2)
Maximal quotients:GAP4(48,28) GAP4(48,48)
Real polynomial:
x^96-720*x^94+244080*x^92-51931840*x^90+7799577900*x^88-881728892400*x^86+78\
125417433200*x^84-5578116246192000*x^82+327457357043165250*x^80-160464464978\
25070000*x^78+664147204517528850000*x^76-23434029147141992760000*x^74+710168\
071531224108277500*x^72-18596045649495594671850000*x^70+42280926158919807934\
4850000*x^68-8380070267293480526212000000*x^66+14524679082967276876036785937\
5*x^64-2207028102128792874870892500000*x^62+29456750150223332062077145500000\
*x^60-345815202601754124873871110000000*x^58+3574253918633375332570580754375\
000*x^56-32539868064210382414110613097500000*x^54+26095091679968310024407613\
1537500000*x^52-1842723221129885999288252012100000000*x^50+11449568045787204\
583605096244810937500*x^48-62522706301311979954531199898937500000*x^46+29958\
2187686733729781573167117562500000*x^44-125702458199852486086981795237475000\
0000*x^42+4607231506013536416892717045492734375000*x^40-14706442075954882155\
582331021622812500000*x^38+40739337020284112728379095060671562500000*x^36-97\
536394971166535958972242554350000000000*x^34+2008551892894118468806617804839\
96630859375*x^32-353794698519464410027714987896741406250000*x^30+52964160723\
4244579378273278357324218750000*x^28-668875889699848359454041227790234375000\
000*x^26+706462100603445141542263826182420898437500*x^24-6177670396287407519\
07085162262167968750000*x^22+441952187280593033265288089817011718750000*x^20\
-255003542462483355964270708254218750000000*x^18+116623739001108102625445075\
431164550781250*x^16-41367653256770152080042804078808593750000*x^14+11065962\
055573552626065463332128906250000*x^12-2149893765884835598275873943359375000\
000*x^10+287683149806013845121217299682617187500*x^8-24505593144420331084053\
375488281250000*x^6+1175337119198385309800354003906250000*x^4-26353547772539\
472442148437500000000*x^2+212820709952260391132965087890625
Common denominator of the automorphisms:
8357963398523561129521464643748872440818806126756723658485528471391442408339\
6755738468365569469176310633701230364574926803144218144263236597924787501964\
1940139270047355497239393289004993453132997963210503370809180312305317907038\
0541014497244065571339583890350314902052581982459898406923379801411118170112\
0000000000000000
Complex polynomial:
x^96-168*x^92+81312*x^88-2366784*x^84+654319440*x^80+256821702528*x^76-29510\
071543808*x^72+3469366609330176*x^68+10161004247040096*x^64-4435195590782193\
0240*x^60+4267433714599104132096*x^56-181499635225812108773376*x^52+39493771\
84207990679546112*x^48-45604226058530675310839808*x^44+344988440483112289571\
880960*x^40-886065481642758530024964096*x^36+3687318596806800610554577152*x^\
32-2936029847438869880965834752*x^28+4339069689421638135344275456*x^24+72542\
47709545736349702144000*x^20+1533536678297293819127808000*x^16-1862224923613\
06039910400000*x^12+5923518115517300736000000*x^8-42494921822699520000000*x^\
4+109951162777600000000
Common denominator of the automorphisms:
8938180478843239343234986609035806477048222122064578922446708010933209750898\
2155028176765805978657081765908660261180273026639783289786845659744464197354\
6336946413991975762358009175415399019668766381653600067425725033353168896154\
0228339710273687496728430349222293833456829983621120000000

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.