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Label Base field Level Dimension
1.1-a 4.4.8768.1 $[1, 1, 1]$ $3$
4.1-a 4.4.8768.1 $[4, 2, -w^{2} + w + 3]$ $3$
7.1-a 4.4.8768.1 $[7, 7, w]$ $1$
7.1-b 4.4.8768.1 $[7, 7, w]$ $1$
7.1-c 4.4.8768.1 $[7, 7, w]$ $2$
7.2-a 4.4.8768.1 $[7, 7, -w^{2} + 2w + 1]$ $1$
7.2-b 4.4.8768.1 $[7, 7, -w^{2} + 2w + 1]$ $3$
7.3-a 4.4.8768.1 $[7,7,-w^{2} + 2]$ $1$
7.3-b 4.4.8768.1 $[7,7,-w^{2} + 2]$ $3$
7.4-a 4.4.8768.1 $[7,7,-w + 1]$ $1$
7.4-b 4.4.8768.1 $[7,7,-w + 1]$ $1$
7.4-c 4.4.8768.1 $[7,7,-w + 1]$ $2$
16.1-a 4.4.8768.1 $[16, 2, 2]$ $2$
16.1-b 4.4.8768.1 $[16, 2, 2]$ $2$
16.1-c 4.4.8768.1 $[16, 2, 2]$ $3$
23.1-a 4.4.8768.1 $[23, 23, -w^{3} + w^{2} + 3w - 1]$ $4$
23.1-b 4.4.8768.1 $[23, 23, -w^{3} + w^{2} + 3w - 1]$ $8$
23.2-a 4.4.8768.1 $[23,23,w^{3} - 2w^{2} - 2w + 2]$ $4$
23.2-b 4.4.8768.1 $[23,23,w^{3} - 2w^{2} - 2w + 2]$ $8$
28.1-a 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $1$
28.1-b 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $1$
28.1-c 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $1$
28.1-d 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $1$
28.1-e 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $1$
28.1-f 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $2$
28.1-g 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $2$
28.1-h 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $2$
28.1-i 4.4.8768.1 $[28, 14, -w^{3} + w^{2} + 3w]$ $3$
28.2-a 4.4.8768.1 $[28, 14, -w^{3} + 3w^{2} + w - 4]$ $1$
28.2-b 4.4.8768.1 $[28, 14, -w^{3} + 3w^{2} + w - 4]$ $2$
28.2-c 4.4.8768.1 $[28, 14, -w^{3} + 3w^{2} + w - 4]$ $3$
28.2-d 4.4.8768.1 $[28, 14, -w^{3} + 3w^{2} + w - 4]$ $4$
28.2-e 4.4.8768.1 $[28, 14, -w^{3} + 3w^{2} + w - 4]$ $4$
28.3-a 4.4.8768.1 $[28,14,w^{3} - 4w - 1]$ $1$
28.3-b 4.4.8768.1 $[28,14,w^{3} - 4w - 1]$ $2$
28.3-c 4.4.8768.1 $[28,14,w^{3} - 4w - 1]$ $3$
28.3-d 4.4.8768.1 $[28,14,w^{3} - 4w - 1]$ $4$
28.3-e 4.4.8768.1 $[28,14,w^{3} - 4w - 1]$ $4$
28.4-a 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $1$
28.4-b 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $1$
28.4-c 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $1$
28.4-d 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $1$
28.4-e 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $1$
28.4-f 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $2$
28.4-g 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $2$
28.4-h 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $2$
28.4-i 4.4.8768.1 $[28,14,w^{3} - 2w^{2} - 2w + 3]$ $3$
31.1-a 4.4.8768.1 $[31, 31, w^{2} - 5]$ $4$
31.1-b 4.4.8768.1 $[31, 31, w^{2} - 5]$ $6$
31.1-c 4.4.8768.1 $[31, 31, w^{2} - 5]$ $13$
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