Group GAP4(96,115)

Name: (C2 x D24) : C2
Maximal quotients:GAP4(32,43) GAP4(48,36)
Real polynomial:
x^96-960*x^94+436896*x^92-125599488*x^90+25642744992*x^88-3963047357952*x^86\
+482595188993280*x^84-47589392113551360*x^82+3876071679775237248*x^80-264647\
569117916270592*x^78+15321686946670814533632*x^76-758955302646179175677952*x\
^74+32397597487466021533206528*x^72-1198673251567254867793969152*x^70+386188\
27207148201427300040704*x^68-1087504687334798932705026637824*x^66+2684670770\
4523488487439790501888*x^64-582360678712849552349763693182976*x^62+111199534\
85706605911656317227106304*x^60-187143721062233206530668014942027776*x^58+27\
78197272411101046455971578366918656*x^56-36394680210297092308019290280451637\
248*x^54+420725361153618291686041366926144307200*x^52-4290208048078760961383\
538643765913714688*x^50+38560897294395994895394825182495005212672*x^48-30514\
9820377857152888932102229940869529600*x^46+212285411271701849352312898877741\
6277098496*x^44-12958151300469118889337388067185260106874880*x^42+6924366666\
8537645596979306637629536906248192*x^40-323029421890314867637682045090980924\
533768192*x^38+1311408481099598437421836121777160715725963264*x^36-461588442\
9176088734524494879878289538947219456*x^34+140259368773118208766870350695317\
06291440844800*x^32-36612039034930730231552758560037940523058593792*x^30+816\
30654571011686559382576279622117966003306496*x^28-15443354718113601978453743\
4502137747561328410624*x^26+245988722998786481877033692614913396083708133376\
*x^24-326866180861130506209317426539872500958829215744*x^22+3583263395129468\
65493680286757140533664752336896*x^20-31967553058042955145872897172134940115\
3634304000*x^18+228143170825124589075891489337993063622101696512*x^16-127397\
298738063571667265801041870978882149023744*x^14+5405032576215862664445831894\
4332783678407049216*x^12-16733027627816145182119471448121020828709027840*x^1\
0+3568361601489627793979243988038239285910962176*x^8-48158889074630763165405\
3223466547154161500160*x^6+36392264654759829132973058853127199077171200*x^4-\
1342518911948177678150687101184831913984000*x^2+1867129192567774590173793894\
3486197760000
Common denominator of the automorphisms:
1127074459937155982925621576752239337728493046087697434815678972153371863988\
4097962823467411736479874393320699488143927477537050574600795773450882202323\
3278128990344600050728960000000
Complex polynomial:
x^96-611605132855416*x^72+324038169116667438792289568946*x^48-14908403610191\
1552496814994596856*x^24+23365793320890593013905802229861281
Common denominator of the automorphisms:
1802766089810802885061182443715234892484978107183573571917439845918207930847\
8008000

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.