A055749 Jacobi form of weight 12 and index 1 for the Niemeier lattice of type D_24.

1, 0, 0, 88, 926, 0, 0, 24640, 118932, 0, 0, 3786312, 9240664, 0, 0, 94951872, 187974558, 0, 0, 1145140744, 1960908360, 0, 0, 8505386304, 13288248072, 0, 0, 45751234016, 67083722816, 0, 0, 195423783552, 272571256980, 0, 0

Offset: 0

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

• nonn

References

• Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

Crossrefs

Cf. A022055, A055747, A003785.

Formula

E_8*E_{4, 1}+32*phi_12. phi_12=unique Jacobi cusp form of weight 12 index 1.

G.f.: b(z) + 32*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022