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Label Base field Level Dimension
1.1-a 6.6.1541581.1 $[1, 1, 1]$ $2$
5.1-a 6.6.1541581.1 $[5, 5, w^{5} - 2w^{4} - 4w^{3} + 5w^{2} + 5w]$ $1$
5.1-b 6.6.1541581.1 $[5, 5, w^{5} - 2w^{4} - 4w^{3} + 5w^{2} + 5w]$ $3$
11.1-a 6.6.1541581.1 $[11, 11, w^{5} - 2w^{4} - 3w^{3} + 4w^{2} + w + 1]$ $1$
11.1-b 6.6.1541581.1 $[11, 11, w^{5} - 2w^{4} - 3w^{3} + 4w^{2} + w + 1]$ $1$
11.1-c 6.6.1541581.1 $[11, 11, w^{5} - 2w^{4} - 3w^{3} + 4w^{2} + w + 1]$ $1$
11.1-d 6.6.1541581.1 $[11, 11, w^{5} - 2w^{4} - 3w^{3} + 4w^{2} + w + 1]$ $1$
11.1-e 6.6.1541581.1 $[11, 11, w^{5} - 2w^{4} - 3w^{3} + 4w^{2} + w + 1]$ $2$
11.1-f 6.6.1541581.1 $[11, 11, w^{5} - 2w^{4} - 3w^{3} + 4w^{2} + w + 1]$ $2$
11.2-a 6.6.1541581.1 $[11, 11, w^{2} - w - 2]$ $1$
11.2-b 6.6.1541581.1 $[11, 11, w^{2} - w - 2]$ $1$
11.2-c 6.6.1541581.1 $[11, 11, w^{2} - w - 2]$ $2$
11.2-d 6.6.1541581.1 $[11, 11, w^{2} - w - 2]$ $4$
17.1-a 6.6.1541581.1 $[17, 17, w^{5} - 2w^{4} - 4w^{3} + 6w^{2} + 3w - 3]$ $1$
17.1-b 6.6.1541581.1 $[17, 17, w^{5} - 2w^{4} - 4w^{3} + 6w^{2} + 3w - 3]$ $1$
17.1-c 6.6.1541581.1 $[17, 17, w^{5} - 2w^{4} - 4w^{3} + 6w^{2} + 3w - 3]$ $6$
17.1-d 6.6.1541581.1 $[17, 17, w^{5} - 2w^{4} - 4w^{3} + 6w^{2} + 3w - 3]$ $9$
25.1-a 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-b 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-c 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-d 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-e 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-f 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-g 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-h 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-i 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $1$
25.1-j 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $2$
25.1-k 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $3$
25.1-l 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $3$
25.1-m 6.6.1541581.1 $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ $3$
27.1-a 6.6.1541581.1 $[27, 3, w^{5} - w^{4} - 5w^{3} + w^{2} + 6w + 1]$ $1$
27.1-b 6.6.1541581.1 $[27, 3, w^{5} - w^{4} - 5w^{3} + w^{2} + 6w + 1]$ $9$
27.1-c 6.6.1541581.1 $[27, 3, w^{5} - w^{4} - 5w^{3} + w^{2} + 6w + 1]$ $16$
27.2-a 6.6.1541581.1 $[27, 3, w^{4} - 2w^{3} - 3w^{2} + 5w]$ $10$
27.2-b 6.6.1541581.1 $[27, 3, w^{4} - 2w^{3} - 3w^{2} + 5w]$ $16$
37.1-a 6.6.1541581.1 $[37, 37, -w^{2} + 2w + 2]$ $1$
37.1-b 6.6.1541581.1 $[37, 37, -w^{2} + 2w + 2]$ $14$
37.1-c 6.6.1541581.1 $[37, 37, -w^{2} + 2w + 2]$ $25$
47.1-a 6.6.1541581.1 $[47, 47, -w^{5} + 2w^{4} + 3w^{3} - 3w^{2} - 2w - 1]$ $1$
47.1-b 6.6.1541581.1 $[47, 47, -w^{5} + 2w^{4} + 3w^{3} - 3w^{2} - 2w - 1]$ $1$
47.1-c 6.6.1541581.1 $[47, 47, -w^{5} + 2w^{4} + 3w^{3} - 3w^{2} - 2w - 1]$ $1$
47.1-d 6.6.1541581.1 $[47, 47, -w^{5} + 2w^{4} + 3w^{3} - 3w^{2} - 2w - 1]$ $21$
47.1-e 6.6.1541581.1 $[47, 47, -w^{5} + 2w^{4} + 3w^{3} - 3w^{2} - 2w - 1]$ $23$
53.1-a 6.6.1541581.1 $[53, 53, -w^{5} + 3w^{4} + 2w^{3} - 8w^{2} + 3]$ $2$
53.1-b 6.6.1541581.1 $[53, 53, -w^{5} + 3w^{4} + 2w^{3} - 8w^{2} + 3]$ $2$
53.1-c 6.6.1541581.1 $[53, 53, -w^{5} + 3w^{4} + 2w^{3} - 8w^{2} + 3]$ $4$
53.1-d 6.6.1541581.1 $[53, 53, -w^{5} + 3w^{4} + 2w^{3} - 8w^{2} + 3]$ $8$
53.1-e 6.6.1541581.1 $[53, 53, -w^{5} + 3w^{4} + 2w^{3} - 8w^{2} + 3]$ $8$
53.1-f 6.6.1541581.1 $[53, 53, -w^{5} + 3w^{4} + 2w^{3} - 8w^{2} + 3]$ $32$
55.1-a 6.6.1541581.1 $[55, 55, -2w^{5} + 3w^{4} + 9w^{3} - 7w^{2} - 9w + 1]$ $1$
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