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A033693 Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4). 1
1, 0, 72, 192, 864, 1152, 3168, 3456, 10674, 8448, 18432, 17856, 42816, 31104, 61056, 51072, 118224, 80640, 146376, 115776, 258624, 166656, 291744, 233856, 492576, 304128, 534528, 403200, 819072, 521856, 874368, 642816, 1372914, 814848, 1334016, 1008000 (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_1(32) with Kronecker character 8 in modulus 32, weight 9/2, and dimension 18. - Andy Huchala, May 16 2023
LINKS
PROG
(Magma)
prec := 30;
basis := [1, 1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1];
S := Matrix(9, basis);
L := LatticeWithBasis(S);
T := ThetaSeriesModularForm(L);
Coefficients(PowerSeries(T, prec)); // Andy Huchala, May 16 2023
CROSSREFS
Sequence in context: A254437 A304376 A028977 * A250786 A302886 A235186
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(21)-a(31) from Sean A. Irvine, Jul 13 2020
More terms from Andy Huchala, May 16 2023
STATUS
approved

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)