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Theta series of 27-dimensional unimodular lattice with root system A_1 and a parity vector of norm 3.
1

%I #15 Feb 29 2020 20:29:40

%S 1,0,2,1652,119550,1497328,16733124,108084480,588808172,2544811584,

%T 9516509988,31328336284,92876219432,252846150384,638250041288,

%U 1511780647680,3387237676950,7228330859840,14769380958438,29023337216604,55108233751768,101433859301088

%N Theta series of 27-dimensional unimodular lattice with root system A_1 and a parity vector of norm 3.

%D R. Bacher and B. B. Venkov, Réseaux entiers unimodulaires sans racine en dimension 27 et 28, in Réseaux euclidiens, designs sphériques et formes modulaires, pp. 212-267, Enseignement Math., Geneva, 2001.

%H R. Bacher and B. B. Venkov, <a href="https://www-fourier.univ-grenoble-alpes.fr/?q=fr/content/reseaux-entiers-unimodulaires-sans-racine-en-dimension-27-et-28">Réseaux entiers unimodulaires sans racine en dimension 27 et 28</a>

%F G.f.: theta3^27 - 54*theta3^19*delta8 + 218*theta3^11*delta8^2 - 1024*theta3^3*delta8^3 where theta3 = A000122 and delta8 = A002408. - _Sean A. Irvine_, Feb 28 2020

%Y Cf. A000122, A002408, A002434.

%K nonn

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Feb 28 2020