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Label Base field Level Dimension
2.1-a 3.3.404.1 $[2, 2, -w - 1]$ $1$
3.1-a 3.3.404.1 $[3, 3, w^{2} - 2w - 2]$ $1$
3.1-b 3.3.404.1 $[3, 3, w^{2} - 2w - 2]$ $1$
7.1-a 3.3.404.1 $[7, 7, -w + 2]$ $3$
8.1-a 3.3.404.1 $[8, 2, 2]$ $2$
9.1-a 3.3.404.1 $[9, 3, w^{2} - 2]$ $3$
9.2-a 3.3.404.1 $[9, 9, w^{2} - w - 3]$ $1$
9.2-b 3.3.404.1 $[9, 9, w^{2} - w - 3]$ $1$
11.1-a 3.3.404.1 $[11, 11, -w^{2} + 2w + 4]$ $6$
12.1-a 3.3.404.1 $[12, 6, w^{2} - 2w - 5]$ $1$
14.1-a 3.3.404.1 $[14, 14, w^{2} - w - 2]$ $1$
14.1-b 3.3.404.1 $[14, 14, w^{2} - w - 2]$ $2$
16.1-a 3.3.404.1 $[16, 4, -2w - 2]$ $1$
16.1-b 3.3.404.1 $[16, 4, -2w - 2]$ $2$
18.1-a 3.3.404.1 $[18, 6, w^{2} - 3w - 2]$ $1$
18.1-b 3.3.404.1 $[18, 6, w^{2} - 3w - 2]$ $2$
18.2-a 3.3.404.1 $[18, 18, -w^{2} - w + 2]$ $1$
21.1-a 3.3.404.1 $[21, 21, -w^{2} + 4]$ $1$
21.1-b 3.3.404.1 $[21, 21, -w^{2} + 4]$ $2$
22.1-a 3.3.404.1 $[22, 22, -w - 3]$ $1$
22.1-b 3.3.404.1 $[22, 22, -w - 3]$ $1$
24.1-a 3.3.404.1 $[24, 6, 2w^{2} - 4w - 4]$ $1$
27.1-a 3.3.404.1 $[27, 3, 3]$ $3$
27.1-b 3.3.404.1 $[27, 3, 3]$ $4$
27.2-a 3.3.404.1 $[27, 27, -w + 4]$ $1$
27.2-b 3.3.404.1 $[27, 27, -w + 4]$ $1$
27.2-c 3.3.404.1 $[27, 27, -w + 4]$ $2$
27.2-d 3.3.404.1 $[27, 27, -w + 4]$ $2$
28.1-a 3.3.404.1 $[28, 14, -w^{2} + 2w + 7]$ $1$
28.1-b 3.3.404.1 $[28, 14, -w^{2} + 2w + 7]$ $1$
29.1-a 3.3.404.1 $[29, 29, -2w + 1]$ $3$
29.1-b 3.3.404.1 $[29, 29, -2w + 1]$ $4$
29.1-c 3.3.404.1 $[29, 29, -2w + 1]$ $5$
32.1-a 3.3.404.1 $[32, 4, 2w^{2} - 4w - 6]$ $1$
32.1-b 3.3.404.1 $[32, 4, 2w^{2} - 4w - 6]$ $1$
32.1-c 3.3.404.1 $[32, 4, 2w^{2} - 4w - 6]$ $2$
33.1-a 3.3.404.1 $[33, 33, 2w - 5]$ $1$
33.1-b 3.3.404.1 $[33, 33, 2w - 5]$ $2$
33.1-c 3.3.404.1 $[33, 33, 2w - 5]$ $2$
36.1-a 3.3.404.1 $[36, 6, -w^{2} + 5]$ $1$
36.1-b 3.3.404.1 $[36, 6, -w^{2} + 5]$ $3$
36.2-a 3.3.404.1 $[36, 18, w^{2} - 2w + 1]$ $1$
36.2-b 3.3.404.1 $[36, 18, w^{2} - 2w + 1]$ $1$
36.2-c 3.3.404.1 $[36, 18, w^{2} - 2w + 1]$ $1$
37.1-a 3.3.404.1 $[37, 37, 2w^{2} - 4w - 3]$ $1$
37.1-b 3.3.404.1 $[37, 37, 2w^{2} - 4w - 3]$ $3$
37.1-c 3.3.404.1 $[37, 37, 2w^{2} - 4w - 3]$ $5$
37.1-d 3.3.404.1 $[37, 37, 2w^{2} - 4w - 3]$ $5$
37.2-a 3.3.404.1 $[37, 37, -w^{2} + 3w + 3]$ $5$
37.2-b 3.3.404.1 $[37, 37, -w^{2} + 3w + 3]$ $9$
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