A047626 Theta series of 14-dimensional integral laminated lattice LAMBDA14.3 with minimal norm 4.

1, 0, 1212, 11584, 70380, 261120, 776800, 1989504, 4398252, 8878080, 16788312, 29833920, 50078944, 80686080, 126457920, 191702144, 281524140, 403691520, 570110556, 793005120, 1074444600, 1431982080, 1903243680, 2494537344, 3204056800, 4082872320, 5185620120

Offset

0,3

Comments

This theta series is an element of the space of modular forms on Gamma_1(4) with Kronecker character, weight 7, and dimension 4. - 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 := 30;
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, -2, -1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 1, 0, 4];
S := SymmetricMatrix(gram);
L := LatticeWithGram(S);
T := ThetaSeriesModularForm(L);
Coefficients(PowerSeries(T, prec)); // Andy Huchala, May 15 2023

Crossrefs

Cf. A023937, A046958, A047627.

Sequence in context: A252213 A258727 A234544 * A204339 A204332 A203661

Adjacent sequences: A047623 A047624 A047625 * A047627 A047628 A047629

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, May 15 2023

Status

approved