Group GAP4(96,101)

Name: (C2 x C4 x S3) : C2
Maximal quotients:GAP4(32,30) GAP4(48,37) GAP4(48,38) GAP4(48,41)
Real polynomial:
x^96-552*x^94+144576*x^92-23939176*x^90+2817184500*x^88-251135993736*x^86+17\
650688361984*x^84-1005133402172232*x^82+47297244668846562*x^80-1866338187349\
821080*x^78+62459624838731345088*x^76-1788572417610634003800*x^74+4413202251\
8786472672740*x^72-943543875227113612625400*x^70+17557264118374627612049280*\
x^68-285337158980354734007009592*x^66+4061133894521298341986120719*x^64-5072\
3999105674831617660887952*x^62+556790199518306890822022883712*x^60-537635495\
0629224128015391041040*x^58+45687753404474588439989061507048*x^56-3416872416\
81889980276728850375760*x^54+2247962491637457966405066123763200*x^52-1299904\
7723721620295020045021111760*x^50+65984722785645316151839232563696860*x^48-2\
93524179440261190972183729594064944*x^46+11417625441227877846746638428129934\
08*x^44-3873401256084223177594946009101423024*x^42+1142404679650274294271385\
1924973379944*x^40-29183225546517404171448120727962766320*x^38+6428747492032\
5729628267602861468067072*x^36-121499369849076551567993709101798551152*x^34+\
195832448349780458285297206867651243311*x^32-2673262720717325920095959309650\
39511496*x^30+306571256631232590364736455346909284800*x^28-29258760569445715\
9302197437218262577928*x^26+229840750808332064578089802692814261028*x^24-146\
703804085445534000351984976468362664*x^22+7494317904642447938924457809269220\
9664*x^20-30101605008965909698696524781053213800*x^18+9309491069490393523506\
735082858816866*x^16-2162314078079965181055628991568387000*x^14+365952666041\
094048414552744755497920*x^12-43457991423556698957612172216231800*x^10+34517\
48408567666159825604115653300*x^8-172546309176695854118310985039000*x^6+5035\
354662423443143271900592000*x^4-76785955333002652233392055000*x^2+4662439778\
71221324810750625
Common denominator of the automorphisms:
7160891181802208120185481138495872816978456212661625816170116454544569212768\
5461374314750998823481982376764513245562215285061431278726927941913376391083\
4510477019963477873047302386575266221626737520029039684269067843494942873997\
2621495335515660832493707129917116912442277386766905262560553214761014375670\
087680000
Complex polynomial:
x^96-57312*x^84+961199460*x^72+146482134048*x^60+7287820690950*x^48-11865052\
857888*x^36+6306429657060*x^24+30457946592*x^12+43046721
Common denominator of the automorphisms:
8197879038859557971489749248

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.