Group GAP4(96,186)

Name: C4 x S4
Maximal quotients:GAP4(24,5) GAP4(48,48)
Real polynomial:

x^96-384*x^94+70272*x^92-8165024*x^90+677103684*x^88-42709916832*x^86+213259\
3016144*x^84-86616956422272*x^82+2918206693115862*x^80-82756901787230304*x^7\
8+1997777353438511760*x^76-41415076647251087232*x^74+742425602791240737764*x\
^72-11572455996357423628512*x^70+157534921987845758751504*x^68-1879326022312\
884844712128*x^66+19699539560882693108510145*x^64-18180269480571001694580201\
6*x^62+1479239703449010189026784112*x^60-10620439513516084462768919136*x^58+\
67308626236624773822567030048*x^56-376514961237288371994668236032*x^54+18579\
98999942196162034494210528*x^52-8080606128613271783641065211584*x^50+3092991\
7860869145440514674294608*x^48-104008484931151450136887208425344*x^46+306583\
043234907411634375278744384*x^44-790063257288827626321787979331200*x^42+1774\
430259577048597099187846607360*x^40-3460848961967266213844064006125568*x^38+\
5837913018022952012833533357805696*x^36-8477585305572689216660591435869440*x\
^34+10542759289750437866912115271021920*x^32-1116191466102528663301550268197\
4272*x^30+9993582818228585066501549471667456*x^28-75092304587295541848440733\
68437248*x^26+4694229031760924520910474604513792*x^24-2416662188591803472138\
236697481216*x^22+1012392475879447571772491794205184*x^20-340191957871194036\
765314421138432*x^18+90097823760980470968087475222272*x^16-18399866704520470\
091217555523584*x^14+2818211001258903391707552508928*x^12-312406889250086308\
826230241280*x^10+23938132862451851200201325568*x^8-119429898780678340527493\
1200*x^6+35706748366693337142970368*x^4-558063549684059594207232*x^2+3336313\
918498702418176

Common denominator of the automorphisms:

4232699643698232544275727564785437716814279770878170673955762246687232510876\
2421020723158409785537386467806998350672988583319351575433689436829454908343\
4943645935681486170267151419990157515716261884168865177273326379260836650387\
7498202092849543138149023962125201021127619768720885284864

Complex polynomial:

x^96+32032*x^88+981536*x^80+17768708*x^72+80680032*x^64+618434912*x^56-52689\
2538*x^48+618434912*x^40+80680032*x^32+17768708*x^24+981536*x^16+32032*x^8+1

Common denominator of the automorphisms:

95304728250615605902968569856

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.