[6, 4, 2, 0]
[8, 6, 2, 0]
[10, 4, 2, 0]
[10, 6, 4, 0]
[10, 8, 2, 0]
[10, 8, 6, 0]
[12, 6, 2, 0]
[12, 8, 4, 0]
[12, 10, 2, 0]
[12, 10, 6, 0]
[14, 4, 2, 0]
[14, 6, 4, 0]
[14, 8, 2, 0]
[14, 8, 6, 0]
[14, 10, 4, 0]
[14, 10, 8, 0]
[14, 12, 2, 0]
[14, 12, 6, 0]
[14, 12, 10, 0]
[16, 6, 2, 0]
[16, 8, 4, 0]
[16, 10, 2, 0]
[16, 10, 6, 0]
[16, 12, 4, 0]
[16, 12, 8, 0]
[16, 14, 2, 0]
[16, 14, 6, 0]
[16, 14, 10, 0]
[18, 4, 2, 0]
[18, 6, 4, 0]
[18, 8, 2, 0]
[18, 8, 6, 0]
[18, 10, 4, 0]
[18, 10, 8, 0]
[18, 12, 2, 0]
[18, 12, 6, 0]
[18, 12, 10, 0]
[18, 14, 4, 0]
[18, 14, 8, 0]
[18, 14, 12, 0]
[18, 16, 2, 0]
[18, 16, 6, 0]
[18, 16, 10, 0]
[18, 16, 14, 0]
[20, 6, 2, 0]
[20, 8, 4, 0]
[20, 10, 2, 0]
[20, 10, 6, 0]
[20, 12, 4, 0]
[20, 12, 8, 0]
[20, 14, 2, 0]
[20, 14, 6, 0]
[20, 14, 10, 0]
[20, 16, 4, 0]
[20, 16, 8, 0]
[20, 16, 12, 0]
[20, 18, 2, 0]
[20, 18, 6, 0]
[20, 18, 10, 0]
[20, 18, 14, 0]
[22, 4, 2, 0]
[22, 6, 4, 0]
[22, 8, 2, 0]
[22, 8, 6, 0]
[22, 10, 4, 0]
[22, 10, 8, 0]
[22, 12, 2, 0]
[22, 12, 6, 0]
[22, 12, 10, 1], Sym^2 D_11 + D_11[2]
[22, 14, 4, 0]
[22, 14, 8, 0]
[22, 14, 12, 0]
[22, 16, 2, 0]
[22, 16, 6, 0]
[22, 16, 10, 0]
[22, 16, 14, 1], Sym^2 D_11 + D_15[2]
[22, 18, 4, 0]
[22, 18, 8, 0]
[22, 18, 12, 0]
[22, 18, 16, 0]
[22, 20, 2, 0]
[22, 20, 6, 0]
[22, 20, 10, 0]
[22, 20, 14, 0]
[22, 20, 18, 1], Sym^2 D_11 + D_19[2] (scalar valued, k=12)
[24, 6, 2, 0]
[24, 8, 4, 0]
[24, 10, 2, 0]
[24, 10, 6, 0]
[24, 12, 4, 0]
[24, 12, 8, 0]
[24, 14, 2, 0]
[24, 14, 6, 0]
[24, 14, 10, 0]
[24, 16, 4, 0]
[24, 16, 8, 1], stable of type G_2 as dim = 1 and 8+16=24,  check : G_(16,8)=1.
[24, 16, 12, 0]
[24, 18, 2, 0]
[24, 18, 6, 0]
[24, 18, 10, 0]
[24, 18, 14, 0]
[24, 20, 4, 0]
[24, 20, 8, 0]
[24, 20, 12, 0]
[24, 20, 16, 0]
[24, 22, 2, 0]
[24, 22, 6, 0]
[24, 22, 10, 0]
[24, 22, 14, 0]
[24, 22, 18, 0]
[26, 4, 2, 0]
[26, 6, 4, 0]
[26, 8, 2, 0]
[26, 8, 6, 0]
[26, 10, 4, 0]
[26, 10, 8, 0]
[26, 12, 2, 0]
[26, 12, 6, 0]
[26, 12, 10, 0]
[26, 14, 4, 0]
[26, 14, 8, 0]
[26, 14, 12, 0]
[26, 16, 2, 0]
[26, 16, 6, 0]
[26, 16, 10, 1], stable of type G_2, check : G_2(16,10)=1
[26, 16, 14, 0]
[26, 18, 4, 0]
[26, 18, 8, 0]
[26, 18, 12, 0]
[26, 18, 16, 0]
[26, 20, 2, 0]
[26, 20, 6, 1], stable of type G_2, check : G_2(20,6)=1
[26, 20, 10, 1], stable as O^*(26,20,10)=1
[26, 20, 14, 1], stable as O^*(26,20,14)=1
[26, 20, 18, 0]
[26, 22, 4, 1], Sym^2 D_11 + D_11 @ D_15
[26, 22, 8, 0]
[26, 22, 12, 0]
[26, 22, 16, 0]
[26, 22, 20, 0]
[26, 24, 2, 0]
[26, 24, 6, 0]
[26, 24, 10, 1], stable
[26, 24, 14, 1], stable
[26, 24, 18, 1], stable
[26, 24, 22, 1], D_25[2]+Sym^2 D_11 (scalar valued, k=14)
[28, 6, 2, 0]
[28, 8, 4, 0]
[28, 10, 2, 0]
[28, 10, 6, 0]
[28, 12, 4, 0]
[28, 12, 8, 0]
[28, 14, 2, 0]
[28, 14, 6, 1], stable
[28, 14, 10, 0]
[28, 16, 4, 0]
[28, 16, 8, 1], stable
[28, 16, 12, 0]
[28, 18, 2, 0]
[28, 18, 6, 0]
[28, 18, 10, 1], stable
[28, 18, 14, 0]
[28, 20, 4, 0]
[28, 20, 8, 1], stable of type G_2
[28, 20, 12, 1], stable
[28, 20, 16, 0]
[28, 22, 2, 0]
[28, 22, 6, 1], Sym^2 D_11 + D_17 @ D_11
[28, 22, 10, 0]
[28, 22, 14, [0,2]], stable
[28, 22, 18, 0]
[28, 24, 4, 1], stable of type G_2
[28, 24, 8, 0]
[28, 24, 12, 1], stable
[28, 24, 16, [1,3]], stable
[28, 24, 20, 0]
[28, 26, 2, 0]
[28, 26, 6, 0]
[28, 26, 10, 0]
[28, 26, 14, 0]
[28, 26, 18, [0,2]], stable
[28, 26, 22, 0]
[30, 4, 2, 0]
[30, 6, 4, 0]
[30, 8, 2, 0]
[30, 8, 6, 0]
[30, 10, 4, 0]
[30, 10, 8, 0]
[30, 12, 2, 0]
[30, 12, 6, 0]
[30, 12, 10, 1], Sym^2 D_15 + D_11[2]
[30, 14, 4, 0]
[30, 14, 8, 0]
[30, 14, 12, 0]
[30, 16, 2, 0]
[30, 16, 6, 1], stable
[30, 16, 10, 1], stable
[30, 16, 14, 2], Sym^2 D_15 + D_15[2], stable
[30, 18, 4, 0]
[30, 18, 8, 1], stable
[30, 18, 12, 0]
[30, 18, 16, 0]
[30, 20, 2, 0]
[30, 20, 6, 1], stable
[30, 20, 10, [0,2,4]], conjecturally not zero as G_2(20,10)=1
[30, 20, 14, 1], stable
[30, 20, 18, 2], Sym^2 D_15 + D_19[2]
[30, 22, 4, 0]
[30, 22, 8, 2], Sym^2 D_11 + D_19 @ D_11, stable
[30, 22, 12, 1], stable
[30, 22, 16, 0]
[30, 22, 20, 0]
[30, 24, 2, 0]
[30, 24, 6, [0,2]], conjecturally 2 as G_2(24,6)=2
[30, 24, 10, [0,2]], stable
[30, 24, 14, [1,3,5]], stable
[30, 24, 18, [0,2]], stable
[30, 24, 22, 2], Sym^2 D_15 + D_23^2[2]
[30, 26, 4, 0]
[30, 26, 8, 1], stable
[30, 26, 12, 1], stable
[30, 26, 16, [1,3]], stable
[30, 26, 20, 0]
[30, 26, 24, 0]
[30, 28, 2, 1], stable of type G_2
[30, 28, 6, 0]
[30, 28, 10, [0,2]], stable
[30, 28, 14, [1,3]], stable
[30, 28, 18, [1,3,5]], stable
[30, 28, 22, 2], D_29^2[2]+Sym^2 D_11
[30, 28, 26, 3], Sym^2 D_15 + D_27^2[2], stable (scalar valued k=16)