Group GAP4(96,91)

Name: (C2 x C4 x S3) : C2
Maximal quotients:GAP4(32,28) GAP4(48,37) GAP4(48,38)
Real polynomial:
x^96-384*x^94+70008*x^92-8074080*x^90+662216064*x^88-41167222080*x^86+201886\
7563824*x^84-80261676953088*x^82+2638072907986776*x^80-72750317643927296*x^7\
8+1702435928532456672*x^76-34107662072759854464*x^74+589172764124044675584*x\
^72-8824589294255331017472*x^70+115125709328284859722944*x^68-13129378690433\
58376261632*x^66+13126435462054901007241200*x^64-115301206443873545648160768\
*x^62+891274608131877633069245184*x^60-6069668891591605326591753216*x^58+364\
39918827143375782649032704*x^56-192904870766989510205593675776*x^54+90027803\
7813738710836540214784*x^52-3701828196888342800026552123392*x^50+13397548022\
423841371968252046592*x^48-42617617786449191132285626294272*x^46+11893478407\
8600894275201032682496*x^44-290530454339151287536310057578496*x^42+619494726\
985009769392508121858048*x^40-1149272450625733972170325592825856*x^38+184790\
4954175880962787825467840512*x^36-2563718992074962291472289444724736*x^34+30\
53239249891478819662263651757824*x^32-3103030945331935058513476577427456*x^3\
0+2673089862240287114179179541616640*x^28-1936861454029306758519200684630016\
*x^26+1170119822642375757246985909534720*x^24-583525542282238006642883135029\
248*x^22+237462315012412783236613290258432*x^20-7780993217914981763813870547\
7632*x^18+20207436173344049317636841035776*x^16-4080023093870004711494399754\
240*x^14+625121736694019500054645923840*x^12-70411974351048059259786854400*x\
^10+5583906937008465842198937600*x^8-293264780194411315421184000*x^6+9332773\
748898687719424000*x^4-157797691693176913920000*x^2+1070908241550543360000
Common denominator of the automorphisms:
2824779236949495639626774044971344977594505115807669436976197370957706283882\
5151862831465222735635296102667863863394520438536152762058536625582111637746\
4589506268642409044205423820800000
Complex polynomial:
x^96+1500720*x^84+1224468036*x^72+253962343440*x^60+20276045064486*x^48+2285\
661090960*x^36+99181910916*x^24+1094024880*x^12+6561
Common denominator of the automorphisms:
50066846394524749782720000

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.