A046958 Theta series of 14-dimensional integral laminated lattice LAMBDA14.2 with minimal norm 4.

1, 0, 1228, 11264, 73260, 245760, 830944, 1853440, 4670892, 8355840, 17837048, 27874304, 53205728, 75939840, 134305088, 179025920, 299207596, 379944960, 605758444, 740441088, 1141582264, 1347747840, 2022362656, 2329679872, 3403939552, 3842703360, 5509653560

Offset

0,3

Comments

This theta series is an element of the space of modular forms on Gamma_1(8) with Kronecker character -4 in modulus 8, weight 7, and dimension 8. - Andy Huchala, May 15 2023

Links

Andy Huchala, Table of n, a(n) for n = 0..10000

G. Nebe and N. J. A. Sloane, Home page for this lattice

Prog

(Magma)
prec := 20;
gram := [4, 2, 4, 0, -2, 4, 0, -2, 0, 4, 0, 0, -2, 0, 4, -2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -1, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 1, -2, 0, 1, 0, 0, -1, 1, 0, 0, 4, -1, 0, -1, -1, 1, 0, 1, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, 4];
S := SymmetricMatrix(gram);
L := LatticeWithGram(S);
T := ThetaSeriesModularForm(L);
Coefficients(PowerSeries(T, prec)); // Andy Huchala, May 15 2023

Crossrefs

Cf. A023937, A047626, A047627.

Sequence in context: A031533 A031713 A259998 * A032348 A038824 A038813

Adjacent sequences: A046955 A046956 A046957 * A046959 A046960 A046961

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, May 15 2023

Status

approved