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Label Base field Level Dimension
1.1-a 6.6.592661.1 $[1, 1, 1]$ $1$
7.1-a 6.6.592661.1 $[7, 7, w^{5} - 5w^{3} + 4w]$ $1$
13.1-a 6.6.592661.1 $[13, 13, -w^{3} + 3w]$ $1$
13.1-b 6.6.592661.1 $[13, 13, -w^{3} + 3w]$ $3$
25.1-a 6.6.592661.1 $[25, 5, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ $2$
25.1-b 6.6.592661.1 $[25, 5, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ $2$
25.1-c 6.6.592661.1 $[25, 5, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ $3$
31.1-a 6.6.592661.1 $[31, 31, -w^{5} + 5w^{3} - 5w + 1]$ $1$
31.1-b 6.6.592661.1 $[31, 31, -w^{5} + 5w^{3} - 5w + 1]$ $1$
31.1-c 6.6.592661.1 $[31, 31, -w^{5} + 5w^{3} - 5w + 1]$ $1$
31.1-d 6.6.592661.1 $[31, 31, -w^{5} + 5w^{3} - 5w + 1]$ $2$
31.1-e 6.6.592661.1 $[31, 31, -w^{5} + 5w^{3} - 5w + 1]$ $2$
31.2-a 6.6.592661.1 $[31, 31, -w^{4} + w^{3} + 5w^{2} - 3w - 3]$ $1$
31.2-b 6.6.592661.1 $[31, 31, -w^{4} + w^{3} + 5w^{2} - 3w - 3]$ $6$
37.1-a 6.6.592661.1 $[37, 37, w^{4} - 5w^{2} + w + 3]$ $3$
37.1-b 6.6.592661.1 $[37, 37, w^{4} - 5w^{2} + w + 3]$ $7$
43.1-a 6.6.592661.1 $[43, 43, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 6w]$ $3$
43.1-b 6.6.592661.1 $[43, 43, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 6w]$ $7$
47.1-a 6.6.592661.1 $[47, 47, w^{5} - w^{4} - 4w^{3} + 4w^{2} - 2]$ $1$
47.1-b 6.6.592661.1 $[47, 47, w^{5} - w^{4} - 4w^{3} + 4w^{2} - 2]$ $1$
47.1-c 6.6.592661.1 $[47, 47, w^{5} - w^{4} - 4w^{3} + 4w^{2} - 2]$ $2$
47.1-d 6.6.592661.1 $[47, 47, w^{5} - w^{4} - 4w^{3} + 4w^{2} - 2]$ $5$
49.1-a 6.6.592661.1 $[49, 7, -w^{4} + 4w^{2} + w - 3]$ $1$
49.1-b 6.6.592661.1 $[49, 7, -w^{4} + 4w^{2} + w - 3]$ $3$
49.1-c 6.6.592661.1 $[49, 7, -w^{4} + 4w^{2} + w - 3]$ $4$
49.1-d 6.6.592661.1 $[49, 7, -w^{4} + 4w^{2} + w - 3]$ $5$
49.2-a 6.6.592661.1 $[49, 49, -2w^{5} + 2w^{4} + 9w^{3} - 7w^{2} - 5w + 1]$ $1$
49.2-b 6.6.592661.1 $[49, 49, -2w^{5} + 2w^{4} + 9w^{3} - 7w^{2} - 5w + 1]$ $1$
49.2-c 6.6.592661.1 $[49, 49, -2w^{5} + 2w^{4} + 9w^{3} - 7w^{2} - 5w + 1]$ $1$
49.2-d 6.6.592661.1 $[49, 49, -2w^{5} + 2w^{4} + 9w^{3} - 7w^{2} - 5w + 1]$ $1$
49.2-e 6.6.592661.1 $[49, 49, -2w^{5} + 2w^{4} + 9w^{3} - 7w^{2} - 5w + 1]$ $6$
53.1-a 6.6.592661.1 $[53, 53, -w^{4} + w^{3} + 4w^{2} - 3w - 4]$ $2$
53.1-b 6.6.592661.1 $[53, 53, -w^{4} + w^{3} + 4w^{2} - 3w - 4]$ $2$
53.1-c 6.6.592661.1 $[53, 53, -w^{4} + w^{3} + 4w^{2} - 3w - 4]$ $2$
53.1-d 6.6.592661.1 $[53, 53, -w^{4} + w^{3} + 4w^{2} - 3w - 4]$ $2$
53.1-e 6.6.592661.1 $[53, 53, -w^{4} + w^{3} + 4w^{2} - 3w - 4]$ $4$
59.1-a 6.6.592661.1 $[59, 59, w^{4} - 5w^{2} - w + 5]$ $1$
59.1-b 6.6.592661.1 $[59, 59, w^{4} - 5w^{2} - w + 5]$ $3$
59.1-c 6.6.592661.1 $[59, 59, w^{4} - 5w^{2} - w + 5]$ $8$
61.1-a 6.6.592661.1 $[61, 61, w^{3} - w^{2} - 3w]$ $5$
61.1-b 6.6.592661.1 $[61, 61, w^{3} - w^{2} - 3w]$ $11$
64.1-a 6.6.592661.1 $[64, 2, -2]$ $2$
64.1-b 6.6.592661.1 $[64, 2, -2]$ $3$
64.1-c 6.6.592661.1 $[64, 2, -2]$ $11$
67.1-a 6.6.592661.1 $[67, 67, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 7w]$ $1$
67.1-b 6.6.592661.1 $[67, 67, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 7w]$ $4$
67.1-c 6.6.592661.1 $[67, 67, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 7w]$ $11$
67.2-a 6.6.592661.1 $[67, 67, 2w^{5} - w^{4} - 10w^{3} + 4w^{2} + 9w - 1]$ $1$
67.2-b 6.6.592661.1 $[67, 67, 2w^{5} - w^{4} - 10w^{3} + 4w^{2} + 9w - 1]$ $1$
67.2-c 6.6.592661.1 $[67, 67, 2w^{5} - w^{4} - 10w^{3} + 4w^{2} + 9w - 1]$ $3$
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