Group GAP4(96,145)

Name: (C6 x D8) : C2
Maximal quotients:GAP4(32,28) GAP4(48,38) GAP4(48,39) GAP4(48,43)
Real polynomial:

x^96-528*x^94+132384*x^92-21003328*x^90+2370613980*x^88-202894891632*x^86+13\
705921297408*x^84-750997056077952*x^82+34042183158363474*x^80-12955524269770\
81840*x^78+41868021774790261536*x^76-1159218920240940016704*x^74+27693074855\
823278067916*x^72-574048313737466574166032*x^70+10371782650292315961877440*x\
^68-163922717680355115553533184*x^66+2272588554827686725231642015*x^64-27696\
414108096019148839573152*x^62+297178798772452383612459962944*x^60-2810253724\
245702214322032648320*x^58+23433585199535407031476857012792*x^56-17231881854\
4131038526917724522592*x^54+1117053842391758039803727400387840*x^52-63785944\
00436040314345915802627840*x^50+32045194712041151046455710196235580*x^48-141\
409084338711526783517593388327904*x^46+546967964907509508273946459058202432*\
x^44-1849706648581774684641508676576916096*x^42+5452080078648502787120014831\
709580792*x^40-13955822744130215043336692692138997280*x^38+30890298208501699\
317304768554003492480*x^36-58828550270801350454071236220793223168*x^34+95833\
555646001825819003150783627241551*x^32-1326328574410782691161754469524028831\
52*x^30+154713457258760388098625232229716137120*x^28-15069119710873017050719\
8306021078186816*x^26+121211815136076696881573318715244691436*x^24-794750382\
86206534556181558970566723120*x^22+41820988910654112693407081716223842560*x^\
20-17336187039836598366114180355112553600*x^18+55359907087120660579036690174\
13615250*x^16-1325694932830368578526680546071902000*x^14+2305590528150490040\
33490724110660000*x^12-28059956138235740355007911353160000*x^10+229564938957\
8019984187485173437500*x^8-121265395166891299556517401250000*x^6+39164740502\
16008406297648600000*x^4-69705009902275853436828000000*x^2+52048362012831479\
4682640625

Common denominator of the automorphisms:

3189671262802890694382273653857092832940482687959549856029899161429960604915\
5657561943460243973672684100241818115779556414488257916307349932743423052864\
5457383297055094758346989335798092973178301153132430604364376582347816960000\
0

Complex polynomial:

x^96+1938*x^88+3425121*x^80-712766446*x^72+93490953060*x^64-7754086244862*x^\
56+405309044755489*x^48+2506654344212946*x^40+14079167231064993*x^32+3502201\
50883088*x^24-969736519680*x^16+757665792*x^8+65536

Common denominator of the automorphisms:

41619958961255929827541676544803508778388288786142330880

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.