Group GAP4(96,167)

Name: C3 x ((C2 x C2 x C2 x C2) : C2)
Maximal quotients:GAP4(32,27) GAP4(48,45)
Real polynomial:
x^96-456*x^94+80100*x^92-7691452*x^90+468276286*x^88-19629101884*x^86+597124\
915988*x^84-13674688229828*x^82+242205523240837*x^80-3387168104041432*x^78+3\
8012454064036814*x^76-346818215012690828*x^74+2599922494884989346*x^72-16154\
043360874162528*x^70+83791408010113586410*x^68-365032432922457009556*x^66+13\
42361791320210753714*x^64-4184609460866435453684*x^62+1109770005024010735806\
2*x^60-25112881399992297281492*x^58+48609191555287663673521*x^56-80644630215\
947189806768*x^54+114859216040082069023742*x^52-140611210114283766121052*x^5\
0+148083325134990911445047*x^48-134224632095592917478200*x^46+10472312113495\
7016024258*x^44-70309216909614405548088*x^42+40591736543399675362488*x^40-20\
129082683081315032312*x^38+8559923797202003003058*x^36-311492689518550239304\
8*x^34+967342660956004451606*x^32-255511311532412192376*x^30+571693182828329\
36788*x^28-10782020048200824880*x^26+1703946962483899751*x^24-22405608415017\
9096*x^22+24305712720481888*x^20-2152999991644940*x^18+153782384986854*x^16-\
8720316926236*x^14+384921162226*x^12-12892228692*x^10+316561613*x^8-5427008*\
x^6+60266*x^4-380*x^2+1
Common denominator of the automorphisms:
9980838515769737445551998645756547750100397026105008217535759174753385342938\
1751687323394220339230322924221983147963944448904355435108694143992773845229\
95089307949136624
Complex polynomial:
x^96-102820*x^84+20258486074*x^72+262460508680*x^60+856829425843*x^48-906863\
59240*x^36+20258558938*x^24+281300*x^12+1
Common denominator of the automorphisms:
3150965439309723336071099275720227566112

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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