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Label Base field Level Dimension
1.1-a 4.4.9792.1 $[1, 1, 1]$ $4$
4.1-a 4.4.9792.1 $[4, 2, w^{3} - 3w^{2} - 3w + 4]$ $4$
7.1-a 4.4.9792.1 $[7, 7, w]$ $4$
7.2-a 4.4.9792.1 $[7,7,w^{3} - 3w^{2} - 4w + 5]$ $4$
9.1-a 4.4.9792.1 $[9, 3, w^{3} - 4w^{2} - w + 9]$ $1$
9.1-b 4.4.9792.1 $[9, 3, w^{3} - 4w^{2} - w + 9]$ $1$
9.1-c 4.4.9792.1 $[9, 3, w^{3} - 4w^{2} - w + 9]$ $2$
9.1-d 4.4.9792.1 $[9, 3, w^{3} - 4w^{2} - w + 9]$ $2$
16.1-a 4.4.9792.1 $[16, 2, 2]$ $4$
16.1-b 4.4.9792.1 $[16, 2, 2]$ $4$
16.1-c 4.4.9792.1 $[16, 2, 2]$ $4$
17.1-a 4.4.9792.1 $[17, 17, 2w^{3} - 6w^{2} - 7w + 8]$ $1$
17.1-b 4.4.9792.1 $[17, 17, 2w^{3} - 6w^{2} - 7w + 8]$ $1$
17.1-c 4.4.9792.1 $[17, 17, 2w^{3} - 6w^{2} - 7w + 8]$ $4$
17.1-d 4.4.9792.1 $[17, 17, 2w^{3} - 6w^{2} - 7w + 8]$ $4$
17.2-a 4.4.9792.1 $[17, 17, -w^{3} + 3w^{2} + 4w - 3]$ $5$
17.2-b 4.4.9792.1 $[17, 17, -w^{3} + 3w^{2} + 4w - 3]$ $5$
17.3-a 4.4.9792.1 $[17,17,-w + 2]$ $5$
17.3-b 4.4.9792.1 $[17,17,-w + 2]$ $5$
23.1-a 4.4.9792.1 $[23, 23, 2w^{3} - 7w^{2} - 4w + 12]$ $1$
23.1-b 4.4.9792.1 $[23, 23, 2w^{3} - 7w^{2} - 4w + 12]$ $1$
23.1-c 4.4.9792.1 $[23, 23, 2w^{3} - 7w^{2} - 4w + 12]$ $1$
23.1-d 4.4.9792.1 $[23, 23, 2w^{3} - 7w^{2} - 4w + 12]$ $1$
23.1-e 4.4.9792.1 $[23, 23, 2w^{3} - 7w^{2} - 4w + 12]$ $4$
23.1-f 4.4.9792.1 $[23, 23, 2w^{3} - 7w^{2} - 4w + 12]$ $4$
23.2-a 4.4.9792.1 $[23,23,w^{2} - 2w - 3]$ $1$
23.2-b 4.4.9792.1 $[23,23,w^{2} - 2w - 3]$ $1$
23.2-c 4.4.9792.1 $[23,23,w^{2} - 2w - 3]$ $1$
23.2-d 4.4.9792.1 $[23,23,w^{2} - 2w - 3]$ $1$
23.2-e 4.4.9792.1 $[23,23,w^{2} - 2w - 3]$ $4$
23.2-f 4.4.9792.1 $[23,23,w^{2} - 2w - 3]$ $4$
28.1-a 4.4.9792.1 $[28, 14, -w^{3} + 4w^{2} + 2w - 7]$ $2$
28.1-b 4.4.9792.1 $[28, 14, -w^{3} + 4w^{2} + 2w - 7]$ $2$
28.1-c 4.4.9792.1 $[28, 14, -w^{3} + 4w^{2} + 2w - 7]$ $4$
28.1-d 4.4.9792.1 $[28, 14, -w^{3} + 4w^{2} + 2w - 7]$ $8$
28.2-a 4.4.9792.1 $[28,14,2w^{3} - 7w^{2} - 5w + 13]$ $2$
28.2-b 4.4.9792.1 $[28,14,2w^{3} - 7w^{2} - 5w + 13]$ $2$
28.2-c 4.4.9792.1 $[28,14,2w^{3} - 7w^{2} - 5w + 13]$ $4$
28.2-d 4.4.9792.1 $[28,14,2w^{3} - 7w^{2} - 5w + 13]$ $8$
31.1-a 4.4.9792.1 $[31, 31, -2w^{3} + 7w^{2} + 5w - 12]$ $8$
31.1-b 4.4.9792.1 $[31, 31, -2w^{3} + 7w^{2} + 5w - 12]$ $18$
31.2-a 4.4.9792.1 $[31,31,w^{3} - 4w^{2} - 2w + 8]$ $8$
31.2-b 4.4.9792.1 $[31,31,w^{3} - 4w^{2} - 2w + 8]$ $18$
36.1-a 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
36.1-b 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
36.1-c 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
36.1-d 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
36.1-e 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
36.1-f 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
36.1-g 4.4.9792.1 $[36, 6, w^{3} - 2w^{2} - 6w + 1]$ $1$
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