Theta series of the 12-dimensional lattice of hyper-roots D_3(SU(3)).

Terms

a(0) =1a(1) =0a(2) =36a(3) =144a(4) =486a(5) =2880a(6) =5724a(7) =7776a(8) =31068a(9) =40320a(10) =47628a(11) =149184a(12) =178452a(13) =171072a(14) =511776a(15) =527904a(16) =500094a(17) =1309824a(18) =1339308a(19) =1143072a(20) =3049992a(21) =2840256a(22) =2451384a(23) =5942016a(24) =5709636a(25) =4510080a(26) =11313720a(27) =9849744a(28) =8199792a(29) =18929088