Group GAP4(88,9)
Name: C11 x D8
Maximal quotients:GAP4(8,3) GAP4(44,4)
Real polynomial:
x^88-276*x^86+34776*x^84-2658984*x^82+138425845*x^80-5222668236*x^78+1485299\
07288*x^76-3272090843256*x^74+56980315104650*x^72-796839822145224*x^70+90632\
66807221872*x^68-84722203977819312*x^66+656546563811413785*x^64-424830872158\
8570540*x^62+23091217090319292792*x^60-105950715757462541592*x^58+4120415643\
32676860776*x^56-1362595518064640046720*x^54+3841348029479250100032*x^52-924\
9486645688165409568*x^50+19047839382183010531548*x^48-3357503443902782407617\
6*x^46+50671940819819177565216*x^44-65469550276478928519924*x^42+72374328728\
419400774048*x^40-68386824337343582027820*x^38+55155320850513459634128*x^36-\
37898298021867625473288*x^34+22133333505421844040691*x^32-109547858092230985\
40184*x^30+4578683512491657667032*x^28-1609023968767547580120*x^26+472881518\
531953852487*x^24-115469295799641446460*x^22+23237909711886477096*x^20-38157\
88382719665816*x^18+504841615581862011*x^16-52959545228349744*x^14+431439555\
7407672*x^12-265501778136036*x^10+11880011057838*x^8-365659279788*x^6+709229\
0304*x^4-73878024*x^2+279841
Common denominator of the automorphisms:
9422450548682890091713352020263007522558818197018215673228502647426786464152\
6426989143432135014267849637053172356179403131804002329557985041539173618311\
121303309586664361755
Complex polynomial:
x^88+183*x^84+14375*x^80+639264*x^76+17925495*x^72+335229498*x^68+4326196437\
*x^64+39398286249*x^60+256814822019*x^56+1206877764057*x^52+4091111759548*x^\
48+9941275493214*x^44+17083147517969*x^40+20307263395422*x^36+16167599341668\
*x^32+8237704945551*x^28+2521329271064*x^24+422591008899*x^20+34017364244*x^\
16+1136433324*x^12+9455369*x^8+8778*x^4+1
Common denominator of the automorphisms:
1213901474243918654353512321395129206130650896140423302912409593146810574323\
88478016586688910076788541
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.