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%I #7 Oct 04 2012 10:28:53
%S 1,2,33,415,5198,49274,362191,2127283,10415371,43855201,162942160,
%T 544750425,1664602301,4706957039,12441105905,30990626912,73251661498,
%U 165232613947,357406368959,744394713024,1498152895495,2922476743386,5540491429760,10232097731194
%N Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector.
%H G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.
%H <a href="/index/Mo#Molien">Index entries for Molien series</a>
%F G.f.: u1/u2 where u1 := f(t^4) + t^148*f(t^-4), u2 := (1-t^4)^2*(1-t^8)^9*(1-t^12)^3*(1-t^24)^2 and
%F f(t) = 1 + 21*t^2 + 348*t^3 + 4167*t^4 + 36071*t^5 + 229176*t^6 + 1098673*t^7 + 4151088*t^8 + 12776903*t^9 + 32923056*t^10 + 72635374*t^11 + 139845777*t^12 + 238772588*t^13+ 366395941*t^14+ 510689826*t^15+ 651563740*t^16+ 764743937*t^17+ 828011969*t^18.
%K nonn
%O 0,2
%A G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004
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