Group GAP4(96,87)

Name: ((C4 x C2) : C2) x S3
Maximal quotients:GAP4(32,22) GAP4(48,35) GAP4(48,38)
Real polynomial:
x^96-986*x^94+377513*x^92-76222050*x^90+9383879610*x^88-766632899878*x^86+43\
876921351283*x^84-1825876666055422*x^82+56755399460270540*x^80-1345108424510\
242546*x^78+24704086831460521053*x^76-356264584086989147066*x^74+40787043039\
49964890194*x^72-37412040756189824097750*x^70+277089691488765671467643*x^68-\
1668076048011262398626014*x^66+8207713579512240087928760*x^64-33164574815744\
954927399938*x^62+110474131657766801764313501*x^60-3043393074643833006807600\
26*x^58+695130439285472881932646050*x^56-1318976642204497817415019982*x^54+2\
082098817103087787292965535*x^52-2737107709997752687110589334*x^50+299820357\
0872317056734292794*x^48-2737107709997752687110589334*x^46+20820988171030877\
87292965535*x^44-1318976642204497817415019982*x^42+6951304392854728819326460\
50*x^40-304339307464383300680760026*x^38+110474131657766801764313501*x^36-33\
164574815744954927399938*x^34+8207713579512240087928760*x^32-166807604801126\
2398626014*x^30+277089691488765671467643*x^28-37412040756189824097750*x^26+4\
078704303949964890194*x^24-356264584086989147066*x^22+24704086831460521053*x\
^20-1345108424510242546*x^18+56755399460270540*x^16-1825876666055422*x^14+43\
876921351283*x^12-766632899878*x^10+9383879610*x^8-76222050*x^6+377513*x^4-9\
86*x^2+1
Common denominator of the automorphisms:
1231238296510981406948592289584179568076895800578832447373640398194946921649\
72236552799914333808123909323790472970240
Complex polynomial:
x^96-2136*x^90+1314360*x^84+33166584*x^78+257476320*x^72+176058360*x^66-2614\
491432*x^60-4513005720*x^54+4952570850*x^48-40617051480*x^42-211773805992*x^\
36+128346544440*x^30+1689302135520*x^24+1958453618616*x^18+698504792760*x^12\
-10216421784*x^6+43046721
Common denominator of the automorphisms:
45816793510841414214401319325823520

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.