Group GAP4(96,156)

Name: (C2 x D24) : C2
Maximal quotients:GAP4(32,43) GAP4(48,43)
Real polynomial:
x^96-504*x^94+120084*x^92-18033288*x^90+1919764710*x^88-154477730016*x^86+97\
82193645504*x^84-501100199953704*x^82+21182262115045833*x^80-750003580674875\
520*x^78+22500675828940635072*x^76-577158794123285304648*x^74+12749288518920\
945966678*x^72-243932339505392256846456*x^70+4061183593385624289353100*x^68-\
59052472038415623079321776*x^66+752123457772283813376013434*x^64-84096553378\
66060196493405864*x^62+82684105027624086009034577148*x^60-715660995745429816\
183164010440*x^58+5456433267940780539565843788486*x^56-366522812526191937982\
47333977904*x^54+216852567968029616557498405734984*x^52-11292449434970048371\
76633345037528*x^50+5169699806111503640815494882699225*x^48-2077241355187733\
9818989885416117472*x^46+73101910710248608302616488271671888*x^44-2247155488\
44151806493375259798841048*x^42+601430267401931911630139661819309786*x^40-13\
95987341840003953847078353557589320*x^38+27969769571284384934247726185036979\
72*x^36-4810548572180618930991207213979125168*x^34+7055723393092472354036706\
620811691818*x^32-8756851810571371979264866213271502936*x^30+911185442646657\
3331162857513861842340*x^28-7862467378337837249992009721597965464*x^26+55530\
95349925474860245600736918542826*x^24-3160514971218832766934610973080466736*\
x^22+1422627023445799857329423203906471272*x^20-4951357835773620308537709532\
90837800*x^18+129647269937383633323651051884284857*x^16-24698172387979501490\
678198877594288*x^14+3283332678510619196409968104553448*x^12-288502220593141\
789883621616573336*x^10+15530909933775201556024481775930*x^8-458732788841548\
537894051199352*x^6+6480136075885017319622618028*x^4-33473788960206456318031\
488*x^2+22379819514986218964121
Common denominator of the automorphisms:
7621188553302998204461271924746357069938371455413392496143378381259982192643\
3116411931979819568938195810544684950888715340435838560868309666412900746100\
8608289179426470729147454086127466581584521924083905765625923261241627405002\
5019501471089067835958263808000000
Complex polynomial:
x^96+27636*x^72+4172809014*x^48+248724*x^24+81
Common denominator of the automorphisms:
9404032442112

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.