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A047626
Theta series of 14-dimensional integral laminated lattice LAMBDA14.3 with minimal norm 4.
3
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
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
KEYWORD
nonn
EXTENSIONS
More terms from Andy Huchala, May 15 2023
STATUS
approved