Group GAP4(96,119)

Name: (C8 x S3) : C2
Maximal quotients:GAP4(32,42) GAP4(48,38)
Real polynomial:
x^96-480*x^94+109392*x^92-15771264*x^90+1616963544*x^88-125646266880*x^86+77\
01030253872*x^84-382568777754624*x^82+15708512518664796*x^80-540983738863854\
720*x^78+15803057696190674832*x^76-395028283261682557440*x^74+85089104568754\
49057544*x^72-158816003192828561634048*x^70+2579994722900915192054448*x^68-3\
6608499900968385660908544*x^66+454976568692040073830048774*x^64-496325017500\
3319122230872896*x^62+47598947839092889012195144368*x^60-4017472074220470068\
93544573696*x^58+2986143581308026105764121462984*x^56-1955115904670123388874\
7149110528*x^54+112739292664722429583880788525584*x^52-572267379161008953100\
430250439680*x^50+2554879993823444798055451357199196*x^48-100199229877267353\
52409623223975040*x^46+34466695757723783180510898399968688*x^44-103784560280\
065572708144561138141696*x^42+272926686437304847182446480578803384*x^40-6250\
73300391090045756186232899022080*x^38+1242698284851521956938654572987826192*\
x^36-2136412847703062449322589633616051200*x^34+3161861050816598241459470265\
296099649*x^32-4007387367452336631926184957357201888*x^30+432285313620950136\
0562673323511172288*x^28-3940272587204666474951192366218379904*x^26+30088884\
70333460806776312080068026144*x^24-1905324608591831599609677108502323456*x^2\
2+988244296212986156057059953412167168*x^20-41358214010348107501856059020553\
1136*x^18+137074725567671110838471602865943936*x^16-351384546292631532482669\
70634119168*x^14+6756200038079301821455908054355968*x^12-9352790907238662899\
61700745699328*x^10+88163146468331440314370726201344*x^8-5244285247872562253\
819209236480*x^6+178223344929742200012687900672*x^4-304299350190530215920658\
0224*x^2+19726507699481143184265216
Common denominator of the automorphisms:
1961706740553709444740637867528503042108627707509625006836687312779579123840\
2965633095167582792395800629047898926538699479092264439740528797873764120830\
3589901377992863657085282699810158057667926655471903054202423443539659474570\
454878889555265917158603229337419461080426989981346705277106257920
Complex polynomial:
x^96-5409876*x^72+10082923836966*x^48-35494196436*x^24+43046721
Common denominator of the automorphisms:
148537041028246110240000

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.