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Label Base field Level Dimension
2.1-a 3.3.564.1 $[2, 2, w - 1]$ $2$
3.1-a 3.3.564.1 $[3, 3, w]$ $3$
3.2-a 3.3.564.1 $[3, 3, w - 2]$ $1$
3.2-b 3.3.564.1 $[3, 3, w - 2]$ $1$
6.1-a 3.3.564.1 $[6, 6, w + 1]$ $1$
6.1-b 3.3.564.1 $[6, 6, w + 1]$ $1$
8.1-a 3.3.564.1 $[8, 2, 2]$ $3$
9.1-a 3.3.564.1 $[9, 3, w^{2} + w - 3]$ $1$
9.2-a 3.3.564.1 $[9, 3, -w^{2} + w + 5]$ $1$
9.2-b 3.3.564.1 $[9, 3, -w^{2} + w + 5]$ $1$
9.3-a 3.3.564.1 $[9, 9, w^{2} - w - 3]$ $1$
9.3-b 3.3.564.1 $[9, 9, w^{2} - w - 3]$ $3$
12.1-a 3.3.564.1 $[12, 6, w^{2} - 3]$ $1$
12.1-b 3.3.564.1 $[12, 6, w^{2} - 3]$ $1$
12.2-a 3.3.564.1 $[12, 6, w^{2} - 1]$ $1$
13.1-a 3.3.564.1 $[13, 13, w^{2} - 2w - 2]$ $3$
13.1-b 3.3.564.1 $[13, 13, w^{2} - 2w - 2]$ $5$
16.1-a 3.3.564.1 $[16, 4, 2w - 2]$ $2$
16.1-b 3.3.564.1 $[16, 4, 2w - 2]$ $3$
17.1-a 3.3.564.1 $[17, 17, -w^{2} + 2]$ $5$
17.1-b 3.3.564.1 $[17, 17, -w^{2} + 2]$ $8$
18.1-a 3.3.564.1 $[18, 6, 2w^{2} - w - 9]$ $1$
18.1-b 3.3.564.1 $[18, 6, 2w^{2} - w - 9]$ $1$
18.1-c 3.3.564.1 $[18, 6, 2w^{2} - w - 9]$ $1$
18.2-a 3.3.564.1 $[18, 6, w^{2} - w - 2]$ $1$
18.2-b 3.3.564.1 $[18, 6, w^{2} - w - 2]$ $1$
18.2-c 3.3.564.1 $[18, 6, w^{2} - w - 2]$ $1$
18.2-d 3.3.564.1 $[18, 6, w^{2} - w - 2]$ $1$
18.2-e 3.3.564.1 $[18, 6, w^{2} - w - 2]$ $2$
18.3-a 3.3.564.1 $[18, 18, w + 3]$ $2$
19.1-a 3.3.564.1 $[19, 19, -w^{2} + w + 1]$ $4$
19.1-b 3.3.564.1 $[19, 19, -w^{2} + w + 1]$ $10$
24.1-a 3.3.564.1 $[24, 6, 2w]$ $1$
24.1-b 3.3.564.1 $[24, 6, 2w]$ $1$
24.1-c 3.3.564.1 $[24, 6, 2w]$ $1$
24.2-a 3.3.564.1 $[24, 6, 2w - 4]$ $1$
24.2-b 3.3.564.1 $[24, 6, 2w - 4]$ $2$
26.1-a 3.3.564.1 $[26, 26, -w^{2} - w + 4]$ $1$
26.1-b 3.3.564.1 $[26, 26, -w^{2} - w + 4]$ $2$
26.1-c 3.3.564.1 $[26, 26, -w^{2} - w + 4]$ $3$
26.1-d 3.3.564.1 $[26, 26, -w^{2} - w + 4]$ $4$
27.1-a 3.3.564.1 $[27, 3, 3]$ $1$
27.1-b 3.3.564.1 $[27, 3, 3]$ $1$
27.1-c 3.3.564.1 $[27, 3, 3]$ $1$
27.1-d 3.3.564.1 $[27, 3, 3]$ $2$
27.1-e 3.3.564.1 $[27, 3, 3]$ $2$
27.1-f 3.3.564.1 $[27, 3, 3]$ $3$
27.2-a 3.3.564.1 $[27, 9, -2w^{2} + w + 12]$ $1$
27.2-b 3.3.564.1 $[27, 9, -2w^{2} + w + 12]$ $1$
27.2-c 3.3.564.1 $[27, 9, -2w^{2} + w + 12]$ $1$
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