Group GAP4(96,114)
Name: (C8 x S3) : C2
Maximal quotients:GAP4(32,38) GAP4(48,35)
Real polynomial:
x^96-600*x^94+171240*x^92-30966720*x^90+3987884520*x^88-389689520400*x^86+30\
065496505200*x^84-1881544286890800*x^82+97380454495671900*x^80-4228733884048\
074000*x^78+155784695257009530000*x^76-4910742353674098702000*x^74+133356644\
088270493905000*x^72-3136539244281067838430000*x^70+641639880122563049224500\
00*x^68-1145448811007747161248510000*x^66+17890080783323141256605043750*x^64\
-244922330317533435078381000000*x^62+2943111370831882275057452100000*x^60-31\
068015252631290259479238950000*x^58+288217046971648301153697107325000*x^56-2\
349721168960834168074456068250000*x^54+16827766537452321527530991142750000*x\
^52-105782245878576756944832716639250000*x^50+583018547780942985923870331212\
437500*x^48-2813122431166571668384058883903750000*x^46+118612404125591309669\
49172941813750000*x^44-43605999727856439274170883815446250000*x^42+139415059\
700068626869527299050814375000*x^40-386468795984093797722645604103606250000*\
x^38+925676107098220263892976195115993750000*x^36-19081990257035624692025072\
17721906250000*x^34+3370069754195430365550856784571275390625*x^32-5072756655\
228672238772924519226140625000*x^30+6468901857429895229686133613207046875000\
*x^28-6940082710842135803565006363643406250000*x^26+621268269843402942832752\
1352900156250000*x^24-4595369289886733525961454035587812500000*x^22+27753985\
87443633476207757692185312500000*x^20-13486212573262814998469447371181250000\
00*x^18+517438971984910655518692721163437500000*x^16-15293532396183610153338\
7093518750000000*x^14+33662872768195280325298865231250000000*x^12-5255278205\
741233180463754787500000000*x^10+539457629302307202079457362500000000*x^8-31\
958190660579828546288375000000000*x^6+842372884870145045125875000000000*x^4-\
6261427765533351336750000000000*x^2+2777247023316260062500000000
Common denominator of the automorphisms:
4690881694308875270399137974133126704340113841217219112630276602312214810210\
8698700381084243745923116576419413735961979118856296380163643903383051191717\
8167229636212672706396237324361767864916984000562617009209234187170997075968\
00000000000
Complex polynomial:
x^96+5808381433443522*x^48+43046721
Common denominator of the automorphisms:
10371899071932884640
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.