Group GAP4(96,187)

Name: (C2 x S4) : C2
Maximal quotients:GAP4(24,6) GAP4(48,48)
Real polynomial:
x^96-720*x^94+243096*x^92-51324528*x^90+7624077180*x^88-850071194064*x^86+74\
115825216776*x^84-5197852437233904*x^82+299335360027366662*x^80-143789705191\
35517680*x^78+583262033698400589384*x^76-20175360721906335856848*x^74+599855\
781096931240660060*x^72-15429686676067651209013872*x^70+34519563359137482424\
7278392*x^68-6746392572386990633163731664*x^66+11559252136956604373270310848\
1*x^64-1741391334564545944184855798016*x^62+23118968867649646216215901841120\
*x^60-270963676024933474563500147367168*x^58+2807231758271759207228829498060\
384*x^56-25729305516230095938156042952301568*x^54+20870494162017078349714450\
8040132224*x^52-1498252222715858028173419533959159808*x^50+95148102346761049\
28698071839669236672*x^48-53409135151557778768950732519388336128*x^46+264658\
350401214582199785257915505790464*x^44-1155776509684528545580717662109132664\
832*x^42+4438550444836462279849482609611478323712*x^40-149495975512846155234\
08428102003560259584*x^38+44019105847492361705684646136582767712256*x^36-112\
878833911808821445914773377524231053312*x^34+2509460844544192076231867285805\
46866783744*x^32-481107061193040632341438845415922224005120*x^30+79050037341\
9939222322956531335435315159040*x^28-110512841112771884576487522253574796784\
4352*x^26+1303441691205342045331331615781785885777920*x^24-12841721835157618\
67179360999351928859918336*x^22+1044552767346990198519791341861538792964096*\
x^20-691836877892120715538240458213427596754944*x^18+36700197539226848181118\
2504661502831738880*x^16-152843458795823416893080081191510638329856*x^14+487\
57521415922505954850574774130048106496*x^12-11547490731433447210110043241424\
535683072*x^10+1948295004796566180939447342942474338304*x^8-2209727249270972\
63666139804591341961216*x^6+15403819920471210774546088817140432896*x^4-56236\
1324919986783876280747234951168*x^2+7426651919069845651090789336416256
Common denominator of the automorphisms:
3671697954919276804444675034689986962543833217559909088584378477586592031073\
7546639096638581213567027112111101554633108828685734045358670718763273147029\
6419955668685170231766365211701227804968026308095210057716311051014317187330\
2822270770695934047997156429535215784264444122775539740453434980562972425546\
13628928
Complex polynomial:
x^96+528*x^92+283536*x^88-2402136*x^84+50573808*x^80+13829616*x^76+66645180*\
x^72+73047584592*x^68+655402644432*x^64+4332458354904*x^60+53370956810160*x^\
56+169820089540272*x^52+220765764446694*x^48+1528380805862448*x^44+432304750\
1622960*x^40+3158362140725016*x^36+4300096750118352*x^32+4313386822573008*x^\
28+35417981104380*x^24+66146624609904*x^20+2177036602883568*x^16-93063670376\
4504*x^12+988628901921936*x^8+16569199473552*x^4+282429536481
Common denominator of the automorphisms:
592963075178982787139397713782980476928

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.