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%I #19 Jan 25 2021 11:19:28
%S 1,1,5,5,37,55,309,551,2203,4244,13162,25440,66070,124994,285536,
%T 523098,1085624,1921844,3702554,6338324,11505922,19087926,33001680,
%U 53187842,88283749,138577771,222176121,340466203,529761539,794259297,1203988645,1769515717
%N Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2).
%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.: (g(t) + t^59*g(t^-1)) / ((1-t)*(1-t^2)^4*(1-t^4)^6*(1-t^6)^3*(1-t^12)^2) where g(t) = 1 + 16*t^4 + 18*t^5 + 143*t^6 + 170*t^7 + 696*t^8 + 1073*t^9 + 2786*t^10 + 4420*t^11 + 8881*t^12 + 13782*t^13 + 23018*t^14 + 33979*t^15 + 50086*t^16 + 69748*t^17 + 94127*t^18 + 123476*t^19 + 155400*t^20 + 192999*t^21 + 229352*t^22 + 270342*t^23 + 306276*t^24 + 343736*t^25 + 372818*t^26 + 399845*t^27 + 415884*t^28 + 425872*t^29 [Nebe, Rains, Sloane, p. 241]. [Incorrect formula replaced by the correct one by _Georg Fischer_ and _Andrey Zabolotskiy_, Jan 25 2021]
%K nonn
%O 0,3
%A G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004
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