Group GAP4(96,39)

Name: (C2 x (C3 : C8)) : C2
Maximal quotients:GAP4(32,9) GAP4(48,15) GAP4(48,16) GAP4(48,19)
Real polynomial:
x^96-1280*x^94+769280*x^92-289532800*x^90+76793613200*x^88-15313891500800*x^\
86+2391958820649600*x^84-300993851279616000*x^82+31145089567868572000*x^80-2\
691336410083410560000*x^78+196565530498163789760000*x^76-1224988242690454513\
1520000*x^74+656363653224630945660320000*x^72-30423482215530867311168000000*\
x^70+1225962603181503522617939200000*x^68-43120254484194175580735232000000*x\
^66+1328004788237857504039459044000000*x^64-35901001916759990213895308032000\
000*x^62+853510921080548522989901972608000000*x^60-1786791695043978619778199\
9833600000000*x^58+329645640358133082169937860096000000000*x^56-536128410116\
1686469941497544704000000000*x^54+76856381097545124959143099142886400000000*\
x^52-970574066240837970500984987016704000000000*x^50+10786238247419039686290\
706838318208000000000*x^48-105332505723712912599453984799959040000000000*x^4\
6+902112883924551694848576527386004480000000000*x^44-67593653519481979196622\
26814290718720000000000*x^42+44178251612506588463036243962774835200000000000\
*x^40-250975192129047045823403514488384716800000000000*x^38+1234132395791527\
336157077479677390315520000000000*x^36-5227425517001604122025729040391874969\
600000000000*x^34+18965205078758945643510166279394922393600000000000*x^32-58\
551613483904096321462390673598595072000000000000*x^30+1526752373364886932441\
49294636480159744000000000000*x^28-33334213850226315096021616554982463897600\
0000000000*x^26+603358852864439435317405535227673116672000000000000*x^24-894\
998323141108012610006654353769758720000000000000*x^22+1073514593934099165626\
887322721885552640000000000000*x^20-1024896793634171527321280740074881024000\
000000000000*x^18+764246174062776541297661267209576448000000000000000*x^16-4\
34921698986331505873109574695544422400000000000000*x^14+18345612077956386005\
4033306355459686400000000000000*x^12-552212401126385579923936034960179200000\
00000000000*x^10+11275396505606041095937017786793984000000000000000*x^8-1458\
759458033371278939208852439040000000000000000*x^6+10908100674869700037217075\
5932160000000000000000*x^4-4052923232896151689526184509440000000000000000*x^\
2+51339002048733993841774428160000000000000000
Common denominator of the automorphisms:
1039211288905220946640221283384201605058494444857361188708057925824541029363\
4179496244126547201841311098443024885624803694185261785670928125025582537714\
5395584552129871551865217067901019816733578610511436825302433053568825422756\
3077159488371087619254309617695143961673637934388636813854456516870684595844\
457010111325523639835168678063636480000000000000000
Complex polynomial:
x^96+452904000*x^88+18936680508000000*x^80-4744526082420800000000*x^72+15674\
361882719487600000000000*x^64-386679281407395278400000000000000*x^56+1625758\
54974796478700640000000000000000*x^48+10194962826678963445468800000000000000\
00000*x^40+1529477833426843384161000000000000000000000000*x^32+2960506559271\
36394805248000000000000000000000000*x^24-59813959563285312307200000000000000\
0000000000000*x^16+23153518056730263552000000000000000000000000000000*x^8+45\
0359962737049600000000000000000000000000000000
Common denominator of the automorphisms:
1705667251501669870919274326807551220972672260600626212702783052865306321853\
450348305108172800000000000000000000000000000000

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.