Group GAP4(96,207)

Name: C2 x C2 x D24
Maximal quotients:GAP4(32,46) GAP4(48,36) GAP4(48,51)
Real polynomial:
x^96-480*x^94+109080*x^92-15641120*x^90+1591264956*x^88-122445776640*x^86+74\
18450776680*x^84-363718190275680*x^82+14719769661796806*x^80-499084610876401\
280*x^78+14340318194803144680*x^76-352341076526287448160*x^74+74558666441607\
49810780*x^72-136664865237831029625600*x^70+2179928805048037536591960*x^68-3\
0370834759759240785125280*x^66+370653070470663688469797185*x^64-397151180578\
9687645934779680*x^62+37424106003363567870115252160*x^60-3104982137122609312\
64001517440*x^58+2269742174551324753022225121696*x^56-1462196407823662522220\
3288740480*x^54+82996277493610943344853880887040*x^52-4148174926011917638731\
50269877760*x^50+1823589022330091992291125479845056*x^48-7040222403467251094\
288361064389120*x^46+23819168323033717280960753952967680*x^44-70434463357809\
015696259551946332160*x^42+181430112574149967734873391367640576*x^40-4054215\
31679398438902816998440028160*x^38+781954162278949252823820321820958720*x^36\
-1293741707686809726011027898416209920*x^34+18222961694099524931441247271842\
58560*x^32-2164998612637040911357689062383902720*x^30+2144735979976584615210\
916217112576000*x^28-1746445901853109339109452088217600000*x^26+114815715930\
7650170623723612933611520*x^24-595718745526688826360391466216816640*x^22+236\
988773584402878456670247126630400*x^20-69693605675786463139161089911685120*x\
^18+14483460012145017282837487647768576*x^16-2018204262722835050502485738127\
360*x^14+177895548850588892910772975042560*x^12-9283712000902449949179382333\
440*x^10+265230856059542799751266041856*x^8-3914615172300550340657807360*x^6\
+28916300104203219723878400*x^4-100966769752619939266560*x^2+131675520715220\
647936
Common denominator of the automorphisms:
1959735771155570045246116088431743747958876565942631184400964573221384968871\
6374538871986200171170819306932800799201011390096944219558759071846954235178\
6719469620345143885531793713535461776120893025410693521661207538865244986356\
53120
Complex polynomial:
x^96+36208*x^84+3284028*x^72+166810256*x^60+1325684870*x^48+166810256*x^36+3\
284028*x^24+36208*x^12+1
Common denominator of the automorphisms:
1121870734350080000

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.