Group GAP4(96,63)

Name: C3 x Q32
Maximal quotients:GAP4(32,20) GAP4(48,25)
Real polynomial:
x^96-2016*x^94+1692880*x^92-780273648*x^90+221401204472*x^88-41624886334192*\
x^86+5483015671816536*x^84-527845048391532592*x^82+38327279953468024512*x^80\
-2149070593514917642976*x^78+94711240037017576297304*x^76-332453398729450314\
0177888*x^74+93883732969575541534679676*x^72-2149141333637388871328172240*x^\
70+40108646263943178115492402776*x^68-612913799822659581762962115936*x^66+76\
95075128279697661316075317594*x^64-79588661363355455708846197493808*x^62+679\
679211682027575462484043678192*x^60-4802403639662161519571981328134832*x^58+\
28129052191336734563188126467911860*x^56-13684046001909689788474905055889217\
6*x^54+553917585230681022339149172520875744*x^52-186908418103644688565892104\
6899140480*x^50+5266161960478025078332192721581243800*x^48-12407406182754691\
241174800159275910560*x^46+24473749440765909508385509346561375960*x^44-40447\
723890212077163490781333818512432*x^42+5602621068682952906174533540188178190\
8*x^40-65023041836047755756850635843736360064*x^38+6316832821937134660206492\
9409163987584*x^36-51276659092467466829854448849776116368*x^34+3468672883562\
2085328509078365825451253*x^32-19480888411642386319171879515616604240*x^30+9\
038769025170397586528837640608594776*x^28-3442822082534030373080086491316304\
352*x^26+1068032239379856025689051198533919576*x^24-267240531671078161175582\
515420151728*x^22+53309907013704900224015052725475824*x^20-83633027927167621\
32806439648319120*x^18+1016007645889314752547679160539800*x^16-9397780080999\
5182135106937577552*x^14+6500011604115917197541306561360*x^12-32949963700855\
4436988444718432*x^10+11940322093873821259279542812*x^8-29845947399326320243\
0376160*x^6+4854339978215471969925224*x^4-45979495531335939456240*x^2+191581\
231380566414401
Common denominator of the automorphisms:
5616638851938694913160804959773913156165855999167648991837864486420578637184\
7706375753800305895708359286928742095768814406863504931541730825721960613391\
2297398605247732878674915679590241243199951625526900163702954717752827865861\
425892034142735677685875
Complex polynomial:
x^96+2016*x^94+1692880*x^92+780273648*x^90+221401204472*x^88+41624886334192*\
x^86+5483015671816536*x^84+527845048391532592*x^82+38327279953468024512*x^80\
+2149070593514917642976*x^78+94711240037017576297304*x^76+332453398729450314\
0177888*x^74+93883732969575541534679676*x^72+2149141333637388871328172240*x^\
70+40108646263943178115492402776*x^68+612913799822659581762962115936*x^66+76\
95075128279697661316075317594*x^64+79588661363355455708846197493808*x^62+679\
679211682027575462484043678192*x^60+4802403639662161519571981328134832*x^58+\
28129052191336734563188126467911860*x^56+13684046001909689788474905055889217\
6*x^54+553917585230681022339149172520875744*x^52+186908418103644688565892104\
6899140480*x^50+5266161960478025078332192721581243800*x^48+12407406182754691\
241174800159275910560*x^46+24473749440765909508385509346561375960*x^44+40447\
723890212077163490781333818512432*x^42+5602621068682952906174533540188178190\
8*x^40+65023041836047755756850635843736360064*x^38+6316832821937134660206492\
9409163987584*x^36+51276659092467466829854448849776116368*x^34+3468672883562\
2085328509078365825451253*x^32+19480888411642386319171879515616604240*x^30+9\
038769025170397586528837640608594776*x^28+3442822082534030373080086491316304\
352*x^26+1068032239379856025689051198533919576*x^24+267240531671078161175582\
515420151728*x^22+53309907013704900224015052725475824*x^20+83633027927167621\
32806439648319120*x^18+1016007645889314752547679160539800*x^16+9397780080999\
5182135106937577552*x^14+6500011604115917197541306561360*x^12+32949963700855\
4436988444718432*x^10+11940322093873821259279542812*x^8+29845947399326320243\
0376160*x^6+4854339978215471969925224*x^4+45979495531335939456240*x^2+191581\
231380566414401
Common denominator of the automorphisms:
5616638851938694913160804959773913156165855999167648991837864486420578637184\
7706375753800305895708359286928742095768814406863504931541730825721960613391\
2297398605247732878674915679590241243199951625526900163702954717752827865861\
425892034142735677685875

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.