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Theta series of quadratic form with Gram matrix [ 3, 1, -1; 1, 4, 1; -1, 1, 3 ].
1

%I #15 Jul 17 2014 21:54:21

%S 1,0,0,4,6,4,0,0,2,8,0,4,18,0,0,8,6,0,0,4,12,12,0,8,12,8,0,8,12,4,0,8,

%T 2,8,0,0,42,8,0,16,0,8,0,4,24,12,0,0,18,8,0,16,12,4,0,8,12,16,0,12,48,

%U 8,0,16,6,8,0,12,12,16,0,8,14,0,0,20,24,8,0,8,12,24,0,4,72,8

%N Theta series of quadratic form with Gram matrix [ 3, 1, -1; 1, 4, 1; -1, 1, 3 ].

%C This is the digonal F lattice (the classical holotype) of dimension 3.

%H John Cannon, <a href="/A029678/b029678.txt">Table of n, a(n) for n = 0..10000</a>

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

%e 1 + 4*q^3 + 6*q^4 + 4*q^5 + 2*q^8 + 8*q^9 + 4*q^11 + 18*q^12 + 8*q^15 + 6*q^16 + ...

%K nonn

%O 0,4

%A _N. J. A. Sloane_.