A055762 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_5^4 D_4 or D_4^6.

1, 0, 0, 8, 126, 0, 0, 31680, 129492, 0, 0, 3684312, 9181784, 0, 0, 95595072, 188204958, 0, 0, 1143217944, 1959861960, 0, 0, 8506517184, 13292577672, 0, 0, 45761541536, 67074486336, 0, 0, 195392621952, 272568215700, 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. A008700, A055747, A003785.

Formula

E_8*E_{4, 1}-48*phi_12.

G.f.: b(z) - 48*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