Group GAP4(96,47)
Name: C3 x (C8 : C4)
Maximal quotients:GAP4(32,4) GAP4(48,20) GAP4(48,24)
Real polynomial:
x^96-480*x^94+102720*x^92-13095200*x^90+1121157200*x^88-68892578400*x^86+317\
0589096000*x^84-112610897656000*x^82+3156764768919600*x^80-71084025798800000\
*x^78+1304262849418768000*x^76-19731095852824352000*x^74+2485621922203132920\
00*x^72-2629389745370054640000*x^70+23522966682419046240000*x^68-17904000987\
6852068800000*x^66+1165239256979833239820000*x^64-6511823685740168948000000*\
x^62+31354134721424381462400000*x^60-130427904627417519422400000*x^58+469709\
725108695769285200000*x^56-1466602076628109597112000000*x^54+397388507295486\
0484736000000*x^52-9347676759306189892736000000*x^50+19086258487611084702338\
000000*x^48-33806156751192923709600000000*x^46+51885928283841644682720000000\
*x^44-68896903844157234738400000000*x^42+78988624271420158256440000000*x^40-\
77995098197687841665600000000*x^38+66136240139690391555200000000*x^36-479980\
49997583816587200000000*x^34+29701146761520372639700000000*x^32-156044431745\
78470952000000000*x^30+6927884779811282704000000000*x^28-2585499718173188768\
000000000*x^26+806311874572835152000000000*x^24-208699886080013200000000000*\
x^22+44477223445907200000000000*x^20-7729974019590560000000000*x^18+10826197\
26832940000000000*x^16-120348144336800000000000*x^14+10408679132800000000000\
*x^12-681610128000000000000*x^10+32516806800000000000*x^8-106673600000000000\
0*x^6+21936000000000000*x^4-240000000000000*x^2+1000000000000
Common denominator of the automorphisms:
3308469324725951601958278694763192792616445138366358030246649841307405497241\
0672126453641888988051357336060241339551864620621902544798020153567906631042\
371075234019605621323491658498031187925184411804992682312362764800000000000
Complex polynomial:
x^96+480*x^94+102720*x^92+13095200*x^90+1121157200*x^88+68892578400*x^86+317\
0589096000*x^84+112610897656000*x^82+3156764768919600*x^80+71084025798800000\
*x^78+1304262849418768000*x^76+19731095852824352000*x^74+2485621922203132920\
00*x^72+2629389745370054640000*x^70+23522966682419046240000*x^68+17904000987\
6852068800000*x^66+1165239256979833239820000*x^64+6511823685740168948000000*\
x^62+31354134721424381462400000*x^60+130427904627417519422400000*x^58+469709\
725108695769285200000*x^56+1466602076628109597112000000*x^54+397388507295486\
0484736000000*x^52+9347676759306189892736000000*x^50+19086258487611084702338\
000000*x^48+33806156751192923709600000000*x^46+51885928283841644682720000000\
*x^44+68896903844157234738400000000*x^42+78988624271420158256440000000*x^40+\
77995098197687841665600000000*x^38+66136240139690391555200000000*x^36+479980\
49997583816587200000000*x^34+29701146761520372639700000000*x^32+156044431745\
78470952000000000*x^30+6927884779811282704000000000*x^28+2585499718173188768\
000000000*x^26+806311874572835152000000000*x^24+208699886080013200000000000*\
x^22+44477223445907200000000000*x^20+7729974019590560000000000*x^18+10826197\
26832940000000000*x^16+120348144336800000000000*x^14+10408679132800000000000\
*x^12+681610128000000000000*x^10+32516806800000000000*x^8+106673600000000000\
0*x^6+21936000000000000*x^4+240000000000000*x^2+1000000000000
Common denominator of the automorphisms:
3308469324725951601958278694763192792616445138366358030246649841307405497241\
0672126453641888988051357336060241339551864620621902544798020153567906631042\
371075234019605621323491658498031187925184411804992682312362764800000000000
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.