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Label Base field Level Dimension
1.1-a 4.4.4400.1 $[1, 1, 1]$ $2$
16.1-a 4.4.4400.1 $[16, 2, 2]$ $4$
20.1-a 4.4.4400.1 $[20, 10, -w^{2} - w + 5]$ $2$
20.1-b 4.4.4400.1 $[20, 10, -w^{2} - w + 5]$ $2$
20.2-a 4.4.4400.1 $[20,10,-w^{2} + w + 5]$ $2$
20.2-b 4.4.4400.1 $[20,10,-w^{2} + w + 5]$ $2$
25.1-a 4.4.4400.1 $[25,5,-2w^{2} - w + 8]$ $2$
25.1-b 4.4.4400.1 $[25,5,-2w^{2} - w + 8]$ $2$
25.2-a 4.4.4400.1 $[25, 5, -2w^{2} + w + 8]$ $2$
25.2-b 4.4.4400.1 $[25, 5, -2w^{2} + w + 8]$ $2$
25.3-a 4.4.4400.1 $[25, 5, -2w^{2} + 7]$ $1$
25.3-b 4.4.4400.1 $[25, 5, -2w^{2} + 7]$ $1$
25.3-c 4.4.4400.1 $[25, 5, -2w^{2} + 7]$ $3$
25.3-d 4.4.4400.1 $[25, 5, -2w^{2} + 7]$ $3$
29.1-a 4.4.4400.1 $[29, 29, w^{3} - 2w^{2} - 3w + 7]$ $6$
29.2-a 4.4.4400.1 $[29,29,-w^{3} - 2w^{2} + 3w + 7]$ $6$
31.1-a 4.4.4400.1 $[31, 31, -w^{3} + w^{2} + 4w - 2]$ $1$
31.1-b 4.4.4400.1 $[31, 31, -w^{3} + w^{2} + 4w - 2]$ $1$
31.1-c 4.4.4400.1 $[31, 31, -w^{3} + w^{2} + 4w - 2]$ $1$
31.1-d 4.4.4400.1 $[31, 31, -w^{3} + w^{2} + 4w - 2]$ $1$
31.1-e 4.4.4400.1 $[31, 31, -w^{3} + w^{2} + 4w - 2]$ $1$
31.1-f 4.4.4400.1 $[31, 31, -w^{3} + w^{2} + 4w - 2]$ $1$
31.2-a 4.4.4400.1 $[31,31,w^{3} + w^{2} - 4w - 2]$ $1$
31.2-b 4.4.4400.1 $[31,31,w^{3} + w^{2} - 4w - 2]$ $1$
31.2-c 4.4.4400.1 $[31,31,w^{3} + w^{2} - 4w - 2]$ $1$
31.2-d 4.4.4400.1 $[31,31,w^{3} + w^{2} - 4w - 2]$ $1$
31.2-e 4.4.4400.1 $[31,31,w^{3} + w^{2} - 4w - 2]$ $1$
31.2-f 4.4.4400.1 $[31,31,w^{3} + w^{2} - 4w - 2]$ $1$
41.1-a 4.4.4400.1 $[41, 41, w^{3} + 2w^{2} - 4w - 6]$ $6$
41.1-b 4.4.4400.1 $[41, 41, w^{3} + 2w^{2} - 4w - 6]$ $6$
41.2-a 4.4.4400.1 $[41,41,-w^{3} + 2w^{2} + 4w - 6]$ $6$
41.2-b 4.4.4400.1 $[41,41,-w^{3} + 2w^{2} + 4w - 6]$ $6$
44.1-a 4.4.4400.1 $[44, 22, w^{3} + w^{2} - 3w]$ $4$
44.1-b 4.4.4400.1 $[44, 22, w^{3} + w^{2} - 3w]$ $4$
49.1-a 4.4.4400.1 $[49, 7, -w^{3} + w^{2} + 4w - 1]$ $1$
49.1-b 4.4.4400.1 $[49, 7, -w^{3} + w^{2} + 4w - 1]$ $1$
49.1-c 4.4.4400.1 $[49, 7, -w^{3} + w^{2} + 4w - 1]$ $6$
49.1-d 4.4.4400.1 $[49, 7, -w^{3} + w^{2} + 4w - 1]$ $6$
49.2-a 4.4.4400.1 $[49,7,w^{3} + w^{2} - 4w - 1]$ $1$
49.2-b 4.4.4400.1 $[49,7,w^{3} + w^{2} - 4w - 1]$ $1$
49.2-c 4.4.4400.1 $[49,7,w^{3} + w^{2} - 4w - 1]$ $6$
49.2-d 4.4.4400.1 $[49,7,w^{3} + w^{2} - 4w - 1]$ $6$
55.1-a 4.4.4400.1 $[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ $1$
55.1-b 4.4.4400.1 $[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ $1$
55.1-c 4.4.4400.1 $[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ $5$
55.1-d 4.4.4400.1 $[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ $5$
55.2-a 4.4.4400.1 $[55,55,w^{3} - 3w^{2} - 4w + 11]$ $1$
55.2-b 4.4.4400.1 $[55,55,w^{3} - 3w^{2} - 4w + 11]$ $1$
55.2-c 4.4.4400.1 $[55,55,w^{3} - 3w^{2} - 4w + 11]$ $5$
55.2-d 4.4.4400.1 $[55,55,w^{3} - 3w^{2} - 4w + 11]$ $5$
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