Group GAP4(96,48)

Name: C3 x ((C8 x C2) : C2)
Maximal quotients:GAP4(32,5) GAP4(48,21) GAP4(48,23) GAP4(48,24)
Real polynomial:
x^96-296*x^94+41372*x^92-3639120*x^90+226528622*x^88-10639358688*x^86+392543\
880320*x^84-11696150105080*x^82+287129777198337*x^80-5895895354147408*x^78+1\
02455986954572332*x^76-1520741822596321304*x^74+19423151328248351990*x^72-21\
4746608073360990928*x^70+2065277033763761497180*x^68-17345049563677407011280\
*x^66+127608894154637557938310*x^64-824460731293788773596184*x^62+4686708358\
165206016445140*x^60-23473524616666885301163096*x^58+10368223866596405992266\
8324*x^56-404078147847086997504955320*x^54+1389659614565241867732099376*x^52\
-4216157428252238923338929200*x^50+11277551413151499072265919193*x^48-265686\
62202057338659766917792*x^46+55054200003519277723848255480*x^44-100166712820\
939686579944771040*x^42+159677578188426466084269965580*x^40-2224558061503252\
77944076477024*x^38+270030495386307025562806622416*x^36-28458640533610439805\
0464963008*x^34+259328042900632622805491794140*x^32-203335301525147070454558\
744704*x^30+136404099772947538416675714048*x^28-7776082262579034573379745600\
0*x^26+37368687622362345388296561632*x^24-14990941508469354882578071168*x^22\
+4960465877255162204133346688*x^20-1333818122849586287005851904*x^18+2859446\
85881740804946048624*x^16-47674166010201364439080448*x^14+597830204472267328\
3598208*x^12-538155085680618608660992*x^10+32492749009135199212736*x^8-11873\
56339887048696320*x^6+22528821096317510912*x^4-187835491245106176*x^2+545881\
355722816
Common denominator of the automorphisms:
4045523545112347539198698356326063853696685023782489725151165015309506151285\
4857271910923917550162178184879357718706729433964188938767902401723627811068\
4586447696890471246281329276740090974813345911685067867535472793687636430880\
08082190205587628224902646464512
Complex polynomial:
x^96+208*x^92+41288*x^88+2615360*x^84+130235768*x^80+3649072128*x^76+8029165\
4272*x^72+965154899072*x^68+8945956142032*x^64+52280603919872*x^60+235839779\
606912*x^56+621644076817920*x^52+1260331169656960*x^48+1663427899973632*x^44\
+1704207166458368*x^40+1093714684686336*x^36+543069820407296*x^32+1562527572\
33664*x^28+34827637872640*x^24+3580655476736*x^20+298434539520*x^16+81422417\
92*x^12+200425472*x^8+851968*x^4+4096
Common denominator of the automorphisms:
14685515325677923304211983944156486220053308920807330392644287725568

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.