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Theta series of lattice Kappa_21.
1

%I #18 Apr 20 2026 01:03:41

%S 1,0,26082,1200864,18563580,154224000,873431160,3770958240,

%T 13432444326,41046452160,111904857288,276175539360,632479728468,

%U 1350390968640,2735388749880,5258284904544,9727162297020,17267081573952,29779234653770

%N Theta series of lattice Kappa_21.

%C Theta series lies in the space of modular forms on Gamma_1(24) with Kronecker character 8 in modulus 24, weight 21/2, and dimension 41 over the integers.

%H Andy Huchala, <a href="/A395006/a395006.txt">Magma program</a>

%H G. Nebe and N. J. A. Sloane, <a href="https://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/KAPPA21.html">Home page for this lattice</a>

%F G.f. = 1 + 26082*q^4 + 1200864*q^6 + 18563580*q^8 + ...

%K nonn,more

%O 0,3

%A _Andy Huchala_, Apr 09 2026