Group GAP4(96,78)

Name: C4 x C4 x S3
Maximal quotients:GAP4(32,21) GAP4(48,35)
Real polynomial:

x^96-408*x^94+79020*x^92-9679424*x^90+842972718*x^88-55629495144*x^86+289524\
1681920*x^84-122124627273912*x^82+4258096602740409*x^80-124550282916184216*x\
^78+3091377356042990736*x^76-65697581833002409848*x^74+120411342246661795803\
0*x^72-19144153111710791848128*x^70+265284196967281526436060*x^68-3216358776\
393716282412776*x^66+34225374070357631593699668*x^64-32043863195308184138348\
4264*x^62+2644857391897698034330306228*x^60-19273477483856209684233250128*x^\
58+124127863974848603782538531070*x^56-706977669674598258566995516680*x^54+3\
561877587811886299007083673616*x^52-15872217002044253889867380992680*x^50+62\
527348380688484132750586215897*x^48-217571848372690199653399692680808*x^46+6\
67873889858262112234576774577808*x^44-1805623412357078841266969405766008*x^4\
2+4290346459124885810163095884832910*x^40-8936612750605908403591231389028752\
*x^38+16267432533587963365514893825770644*x^36-25781979382023385696765311389\
149560*x^34+35419676417639297196067228868480961*x^32-41958900600773253684833\
525503157312*x^30+42593531596649762425203981593386752*x^28-36776093938695376\
175801415424640448*x^26+26766828530753563982693659656733488*x^24-16244709348\
192525866795868533965056*x^22+8111553575659882869300061953721728*x^20-327740\
2714680119344521601748421120*x^18+1049026633900412193026438489138016*x^16-25\
8774944206564836442653055251456*x^14+47424665998800140865407640920064*x^12-6\
139602848624988260721070771200*x^10+522689209109957186357496974592*x^8-26360\
137458869986872930164736*x^6+675629728075098528006902784*x^4-647878547852315\
4196064256*x^2+1662305154425421742336

Common denominator of the automorphisms:

8606150160184306099134057954166823273861214010567768050936085588298154975041\
4226089665708017033790106184077524587526389610964928754554756875924363612963\
6369203874193315474850347697693269273001596274799574815479046123750560435540\
4821395494645792768

Complex polynomial:

x^96+2397*x^88+2844966*x^80-51754890*x^72+257460975*x^64-246948178*x^56+3510\
56179*x^48-246948178*x^40+257460975*x^32-51754890*x^24+2844966*x^16+2397*x^8\
+1

Common denominator of the automorphisms:

2785674100573359817889893001984

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.