Expansion of a(q) * b(q)^3 in powers of q where a(), b() are cubic AGM theta functions.

Terms

a(0) =1a(1) =-3a(2) =-27a(3) =159a(4) =-219a(5) =-378a(6) =1431a(7) =-1032a(8) =-1755a(9) =4533a(10) =-3402a(11) =-3996a(12) =11607a(13) =-6594a(14) =-9288a(15) =20034a(16) =-14043a(17) =-14742a(18) =40797a(19) =-20580a(20) =-27594a(21) =54696a(22) =-35964a(23) =-36504a(24) =93015a(25) =-47253a(26) =-59346a(27) =122631a(28) =-75336a(29) =-73170