Group GAP4(96,230)

Name: C2 x C2 x C2 x C2 x S3
Maximal quotients:GAP4(32,51) GAP4(48,51)
Real polynomial:
x^96-560*x^94+148268*x^92-24742360*x^90+2926715598*x^88-261636261800*x^86+18\
402507274096*x^84-1046797382464560*x^82+49122265661215285*x^80-1930154829792\
563400*x^78+64237349712033529368*x^76-1827167100472046434080*x^74+4473794060\
4868162914314*x^72-948358607019292961964680*x^70+17485030932832552643951084*\
x^68-281418595639926148530351800*x^66+3965427773145623417883714298*x^64-4902\
8433033749089349973423680*x^62+532775450376699709257388708020*x^60-509413616\
4676488240115688421000*x^58+42885750710512119858312216856358*x^56-3179549329\
07640962959479402789480*x^54+2075579889404627845100110783136824*x^52-1192253\
3599989112280049142599149280*x^50+60202031306476069386176879480240749*x^48-2\
66838393259704996839248882684094200*x^46+10362846473569099290336987524816948\
08*x^44-3518129929898022790766644183699271680*x^42+1041243923110459560255373\
9395369946310*x^40-26778557951878593958733037537590947800*x^38+5961573694775\
8876829869456913655192116*x^36-114379629323150491451912773420778085960*x^34+\
188156240554169897359747680015907070778*x^32-2638055102402920920808497970418\
97396960*x^30+313068317667164255797501417627140353388*x^28-31194360146616822\
6953321819401991414200*x^26+258504602719003576984192787171106552106*x^24-176\
161617699006644157077352822107197560*x^22+9738573133925303693249832809383309\
4200*x^20-42950796836704440147865872106756635200*x^18+1479917925472662162572\
1088059351915125*x^16-3877059970539844024115538665842705000*x^14+74436463243\
6104482816830860535090000*x^12-99293795563352119733615064349250000*x^10+8446\
379803991556729529631465968750*x^8-389652573106966326979866797375000*x^6+649\
8935374545757437238982187500*x^4-12870339179971392923409375000*x^2+577236816\
5269883250390625
Common denominator of the automorphisms:
1724440971041669721910506127681842744501204027896469321330821329224215503731\
1955203935976102850802742873197347729739418063578395988217448167950745804278\
5264585196509306501645946577481052134907295143385885509928007429319106127873\
2800000000
Complex polynomial:
x^96+63*x^92+3089*x^88+73262*x^84+1311098*x^80-10771530*x^76+46819947*x^72-5\
20992066*x^68+1990668130*x^64+9942071853*x^60+27351246898*x^56+44766407518*x\
^52+54730874099*x^48+44766407518*x^44+27351246898*x^40+9942071853*x^36+19906\
68130*x^32-520992066*x^28+46819947*x^24-10771530*x^20+1311098*x^16+73262*x^1\
2+3089*x^8+63*x^4+1
Common denominator of the automorphisms:
248531175936466318981773175650233568509246850000

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.