Group GAP4(96,169)

Name: C3 x ((C2 x Q8) : C2)
Maximal quotients:GAP4(32,29) GAP4(48,45) GAP4(48,46) GAP4(48,47)
Real polynomial:
x^96-720*x^94+203040*x^92-31757400*x^90+3181757400*x^88-221046279480*x^86+11\
202077898000*x^84-429044059326600*x^82+12749321495617452*x^80-29992781442406\
1040*x^78+5675609065213851120*x^76-87508571231694521520*x^74+111094114303862\
2766916*x^72-11713976109079905330360*x^70+103331501914606516885680*x^68-7671\
98685064983974902800*x^66+4818789571313084882547150*x^64-2571429042606697424\
9998200*x^62+116993992922739612937366560*x^60-455182558351230017653406280*x^\
58+1518054576736748592256126524*x^56-4348166136809825985799305240*x^54+10712\
433924388674813845874240*x^52-22724908371663470849810482560*x^50+41538207565\
102426547926322754*x^48-65442528730312706272900109040*x^46+88860800328778265\
520209711760*x^44-103944747391409358004312545480*x^42+1046570990544293894344\
20478500*x^40-90585488387289591047516896080*x^38+672866127821032217282398737\
60*x^36-42798248782172823305367819720*x^34+23247116786137181808441815037*x^3\
2-10747875302489698235195607000*x^30+4212742251382613699896303920*x^28-13933\
01322792779089605329520*x^26+386656882044062235430813488*x^24-89434560328518\
954453550920*x^22+17104534438897940654390400*x^20-2678862720734995221264600*\
x^18+339544971039424460075550*x^16-34322742093865861353240*x^14+271591621599\
0587755680*x^12-164185239434605786800*x^10+7336480393654845228*x^8-231102675\
384519600*x^6+4767410575799280*x^4-56485907296200*x^2+282429536481
Common denominator of the automorphisms:
3342971771671263971532912274469255264084321963589746840533589079633770647258\
0647702189656921267272874245397494095243121266560723520
Complex polynomial:
x^96+252*x^84+20986*x^72-45864*x^60+54291*x^48-45864*x^36+20986*x^24+252*x^1\
2+1
Common denominator of the automorphisms:
362309083356

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.