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Label Base field Level Dimension
1.1-a 4.4.16225.1 $[1, 1, 1]$ $6$
4.1-a 4.4.16225.1 $[4, 2, \frac{1}{3}w^{3} - \frac{4}{3}w^{2} - \frac{4}{3}w + 6]$ $2$
4.1-b 4.4.16225.1 $[4, 2, \frac{1}{3}w^{3} - \frac{4}{3}w^{2} - \frac{4}{3}w + 6]$ $2$
4.2-a 4.4.16225.1 $[4,2,\frac{1}{3}w^{3} + \frac{2}{3}w^{2} - \frac{10}{3}w - 7]$ $2$
4.2-b 4.4.16225.1 $[4,2,\frac{1}{3}w^{3} + \frac{2}{3}w^{2} - \frac{10}{3}w - 7]$ $2$
9.1-a 4.4.16225.1 $[9, 3, -\frac{1}{2}w^{3} + \frac{3}{2}w^{2} + \frac{7}{2}w - 9]$ $2$
9.1-b 4.4.16225.1 $[9, 3, -\frac{1}{2}w^{3} + \frac{3}{2}w^{2} + \frac{7}{2}w - 9]$ $10$
9.2-a 4.4.16225.1 $[9,3,-\frac{1}{3}w^{3} - \frac{2}{3}w^{2} + \frac{7}{3}w + 5]$ $2$
9.2-b 4.4.16225.1 $[9,3,-\frac{1}{3}w^{3} - \frac{2}{3}w^{2} + \frac{7}{3}w + 5]$ $10$
11.1-a 4.4.16225.1 $[11, 11, -\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{1}{6}w]$ $3$
11.1-b 4.4.16225.1 $[11, 11, -\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{1}{6}w]$ $3$
11.1-c 4.4.16225.1 $[11, 11, -\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{1}{6}w]$ $3$
11.1-d 4.4.16225.1 $[11, 11, -\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{1}{6}w]$ $3$
16.1-a 4.4.16225.1 $[16, 2, 2]$ $1$
16.1-b 4.4.16225.1 $[16, 2, 2]$ $1$
16.1-c 4.4.16225.1 $[16, 2, 2]$ $1$
16.1-d 4.4.16225.1 $[16, 2, 2]$ $1$
16.1-e 4.4.16225.1 $[16, 2, 2]$ $9$
16.1-f 4.4.16225.1 $[16, 2, 2]$ $9$
16.2-a 4.4.16225.1 $[16, 4, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{10}{3}w]$ $8$
16.2-b 4.4.16225.1 $[16, 4, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{10}{3}w]$ $10$
16.3-a 4.4.16225.1 $[16,4,-\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{1}{6}w + 1]$ $8$
16.3-b 4.4.16225.1 $[16,4,-\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{1}{6}w + 1]$ $10$
19.1-a 4.4.16225.1 $[19, 19, w + 1]$ $17$
19.1-b 4.4.16225.1 $[19, 19, w + 1]$ $17$
19.2-a 4.4.16225.1 $[19,19,\frac{1}{6}w^{3} - \frac{1}{6}w^{2} - \frac{13}{6}w + 2]$ $17$
19.2-b 4.4.16225.1 $[19,19,\frac{1}{6}w^{3} - \frac{1}{6}w^{2} - \frac{13}{6}w + 2]$ $17$
25.1-a 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $1$
25.1-b 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $1$
25.1-c 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $2$
25.1-d 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $2$
25.1-e 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $4$
25.1-f 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $4$
25.1-g 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $4$
25.1-h 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $4$
25.1-i 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $4$
25.1-j 4.4.16225.1 $[25, 5, -\frac{1}{3}w^{3} + \frac{1}{3}w^{2} + \frac{7}{3}w - 1]$ $24$
29.1-a 4.4.16225.1 $[29, 29, -\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{13}{6}w]$ $25$
29.1-b 4.4.16225.1 $[29, 29, -\frac{1}{6}w^{3} + \frac{1}{6}w^{2} + \frac{13}{6}w]$ $25$
29.2-a 4.4.16225.1 $[29,29,-w + 1]$ $25$
29.2-b 4.4.16225.1 $[29,29,-w + 1]$ $25$
31.1-a 4.4.16225.1 $[31, 31, \frac{1}{3}w^{3} - \frac{1}{3}w^{2} - \frac{10}{3}w + 3]$ $29$
31.1-b 4.4.16225.1 $[31, 31, \frac{1}{3}w^{3} - \frac{1}{3}w^{2} - \frac{10}{3}w + 3]$ $29$
31.2-a 4.4.16225.1 $[31,31,\frac{1}{6}w^{3} - \frac{1}{6}w^{2} - \frac{1}{6}w + 2]$ $29$
31.2-b 4.4.16225.1 $[31,31,\frac{1}{6}w^{3} - \frac{1}{6}w^{2} - \frac{1}{6}w + 2]$ $29$
36.1-a 4.4.16225.1 $[36, 6, -w]$ $11$
36.1-b 4.4.16225.1 $[36, 6, -w]$ $11$
36.1-c 4.4.16225.1 $[36, 6, -w]$ $15$
36.1-d 4.4.16225.1 $[36, 6, -w]$ $15$
36.2-a 4.4.16225.1 $[36,6,-w^{2} + w + 4]$ $2$
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