Group GAP4(96,160)

Name: (C6 x C2 x C2 x C2) : C2
Maximal quotients:GAP4(32,27) GAP4(48,43)
Real polynomial:

x^96-528*x^94+132504*x^92-21056912*x^90+2381960904*x^88-204412934400*x^86+13\
850144882704*x^84-761367329059104*x^82+34629532339802148*x^80-13224806162351\
39648*x^78+42887298943444964160*x^76-1191548840900950597440*x^74+28562340973\
914561985720*x^72-594043093820466285385152*x^70+10768168521969631314191616*x\
^68-170736744001780396444673216*x^66+2374675607686568557983719670*x^64-29035\
023016612107656882660256*x^62+312595243879134464441488189648*x^60-2966649763\
065606391778425590432*x^58+24834433582408857294327764286264*x^56-18341681397\
0706694884594969820096*x^54+1194909724675384146596980583540448*x^52-68625006\
73905251715490898143861632*x^50+34709524687303852744946848075840972*x^48-154\
392652440980335413566286056358912*x^46+602876936702186127594171081246277152*\
x^44-2061949638526731874270644308623226880*x^42+6160227505150845085005454620\
087374856*x^40-16024692995788078717128506702121394752*x^38+36159747401160157\
243408035737234573376*x^36-70471274842354109823677452324330040256*x^34+11802\
3989648797853814006935528593116033*x^32-168888226296657678690945010272619206\
096*x^30+205134864806321453658774305274872388696*x^28-2099064205140681452724\
96486592029633360*x^26+179404482524744147684861923351831432512*x^24-12682629\
9048607346208111060514723546176*x^22+73330658692938292990486989593359383696*\
x^20-34234386325509661857038671662592720224*x^18+127130244134973150076547841\
66184903944*x^16-3689993464467490010945029153895360064*x^14+8197238103919727\
57149679469311350752*x^12-135792017577503308572449124467135808*x^10+16213989\
347845073582920921358421120*x^8-1330116439031521200939243475572480*x^6+69521\
287593716361700034067342144*x^4-2015289840442457746039074512256*x^2+23105617\
332806873633057004816

Common denominator of the automorphisms:

3025340327268587502668371350549361657549768254678899704648786916647555589155\
4984380321037183527686883204112121416127195622875138254569543329842737467223\
0638283454664576367417570602223271290121550850334923925511130547256504267625\
93867497067564907888640

Complex polynomial:

x^96+3024*x^84+1103168*x^72+113947776*x^60+4185699456*x^48+40909943808*x^36+\
119868280832*x^24+76750848*x^12+4096

Common denominator of the automorphisms:

10979426724216383341154009088

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.