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A033698 Theta series of lattice A_2 tensor E_6 (dimension 12, det. 6561, min. norm 4). 1
1, 0, 216, 1440, 7290, 17280, 50436, 116640, 186408, 366912, 714420, 895104, 1600812, 2566080, 3070656, 4734720, 7501410, 7858944, 12134340, 17146080, 18299952, 25463232, 36770760, 35652096, 51224508, 67651200, 67882320, 89316576, 122996880, 113574528 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
This theta series is an element of the space of modular forms on Gamma_0(36) of weight 6 and dimension 36. - Andy Huchala, May 17 2023
LINKS
PROG
(Magma)
prec := 30;
basis := [1, -1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0];
S := Matrix(24, basis);
L := LatticeWithBasis(S);
T := ThetaSeriesModularForm(L); // takes a minute
coeffs := Coefficients(PowerSeries(T, prec*4));
[coeffs[4*i+1] : i in [0..prec-1]]; // Andy Huchala, May 17 2023
CROSSREFS
Sequence in context: A233980 A233974 A016863 * A121683 A016911 A323801
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Andy Huchala, May 17 2023
STATUS
approved

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Last modified November 28 06:01 EST 2023. Contains 367394 sequences. (Running on oeis4.)