Expansion of a(q) * b(q)^2 in powers of q where a(), b() are cubic AGM theta functions.

Terms

a(0) =1a(1) =0a(2) =-27a(3) =72a(4) =0a(5) =-216a(6) =270a(7) =0a(8) =-459a(9) =720a(10) =0a(11) =-1080a(12) =936a(13) =0a(14) =-1350a(15) =2160a(16) =0a(17) =-2592a(18) =2214a(19) =0a(20) =-2808a(21) =3600a(22) =0a(23) =-4752a(24) =4590a(25) =0a(26) =-4590a(27) =6552a(28) =0a(29) =-7560