Group GAP4(96,131)

Name: (C2 x (C3 : Q8)) : C2
Maximal quotients:GAP4(32,29) GAP4(48,34) GAP4(48,37) GAP4(48,43)
Real polynomial:

x^96-3240*x^94+3998160*x^92-2670121800*x^90+1113289696116*x^88-3131273237490\
00*x^86+62397373050621360*x^84-9115417417835045160*x^82+10010471360684127328\
98*x^80-84226588006250791102680*x^78+5509257840088567840704240*x^76-28331918\
5880154984364662840*x^74+11555022121763089196678081508*x^72-3762406377100187\
19641286686520*x^70+9829508746434381287763645309840*x^68-2067966990375157082\
10085122366360*x^66+3512079267716295675639789228623439*x^64-4821746030260659\
2445108212245937040*x^62+535375768237541049531882852026560800*x^60-480538284\
9776774153719802519658428880*x^58+34819737001057783708506053327461468392*x^5\
6-203223289201348402088783423490510426960*x^54+95233902535544867650994663427\
1261117920*x^52-3568467606556705781610234182948327552400*x^50+10636935332655\
630023091812037646444824540*x^48-25069098071640031671903189960160630269360*x\
^46+46385344881973856429432554463153755780320*x^44-6685069596382710606587874\
6871136323079280*x^42+74397963200701897936030525863519627546984*x^40-6334606\
1339094522569554385823040333714800*x^38+408604798013624223166024552633369754\
49120*x^36-19762047618555067663522618061706556949040*x^34+709239693487899379\
4684906490029463383727*x^32-1870573178159297438389549419206401521480*x^30+35\
9560044596994379790926874912818794000*x^28-500146940435053185835081041343726\
42920*x^26+5002299367082493182909824730677386660*x^24-3576393054329372652700\
22287669232040*x^22+18180267652947841265217329277410160*x^20-653317353238031\
948816150369574600*x^18+16473733027456878158402734898274*x^16-28854083767143\
0432362258682360*x^14+3461417417321937595304362800*x^12-27860530923126680984\
573400*x^10+145898805149803349102772*x^8-474721290992737776600*x^6+893313326\
707943760*x^4-847288609443000*x^2+282429536481

Common denominator of the automorphisms:

4853721700081599449339914075853578761244290335401636127213631724774608224372\
8714525342601977059614009007700393893500636054705330769248138553257678336367\
9175309229562177346730622948434215868219548416709568894369125021777920

Complex polynomial:

x^96-36048*x^84+472784256*x^72-787400936064*x^60+318893054488704*x^48+409486\
39372753920*x^36+1327471973944713216*x^24-78331290329161728*x^12+11568313814\
26176

Common denominator of the automorphisms:

5516577597708974514624224430333761561967314716459008

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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