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Label Base field Level Dimension
1.1-a \(\Q(\sqrt{7}) \) $[1, 1, 1]$ $1$
8.1-a \(\Q(\sqrt{7}) \) $[8, 4, 2w - 6]$ $2$
9.1-a \(\Q(\sqrt{7}) \) $[9, 3, 3]$ $2$
9.1-b \(\Q(\sqrt{7}) \) $[9, 3, 3]$ $2$
9.2-a \(\Q(\sqrt{7}) \) $[9, 9, w + 4]$ $1$
9.3-a \(\Q(\sqrt{7}) \) $[9,9,-w + 4]$ $1$
14.1-a \(\Q(\sqrt{7}) \) $[14, 14, -3w + 7]$ $1$
14.1-b \(\Q(\sqrt{7}) \) $[14, 14, -3w + 7]$ $1$
16.1-a \(\Q(\sqrt{7}) \) $[16, 4, 4]$ $1$
16.1-b \(\Q(\sqrt{7}) \) $[16, 4, 4]$ $1$
18.1-a \(\Q(\sqrt{7}) \) $[18, 6, 3w - 9]$ $1$
18.1-b \(\Q(\sqrt{7}) \) $[18, 6, 3w - 9]$ $1$
18.2-a \(\Q(\sqrt{7}) \) $[18, 18, -w - 5]$ $1$
18.2-b \(\Q(\sqrt{7}) \) $[18, 18, -w - 5]$ $1$
18.2-c \(\Q(\sqrt{7}) \) $[18, 18, -w - 5]$ $2$
18.3-a \(\Q(\sqrt{7}) \) $[18,18,w - 5]$ $1$
18.3-b \(\Q(\sqrt{7}) \) $[18,18,w - 5]$ $1$
18.3-c \(\Q(\sqrt{7}) \) $[18,18,w - 5]$ $2$
19.1-a \(\Q(\sqrt{7}) \) $[19, 19, 2w - 3]$ $3$
19.1-b \(\Q(\sqrt{7}) \) $[19, 19, 2w - 3]$ $3$
19.2-a \(\Q(\sqrt{7}) \) $[19,19,-2w - 3]$ $3$
19.2-b \(\Q(\sqrt{7}) \) $[19,19,-2w - 3]$ $3$
21.1-a \(\Q(\sqrt{7}) \) $[21, 21, -2w + 7]$ $3$
21.1-b \(\Q(\sqrt{7}) \) $[21, 21, -2w + 7]$ $3$
21.2-a \(\Q(\sqrt{7}) \) $[21,21,2w + 7]$ $3$
21.2-b \(\Q(\sqrt{7}) \) $[21,21,2w + 7]$ $3$
24.1-a \(\Q(\sqrt{7}) \) $[24, 12, -2w - 2]$ $1$
24.1-b \(\Q(\sqrt{7}) \) $[24, 12, -2w - 2]$ $1$
24.2-a \(\Q(\sqrt{7}) \) $[24,12,2w - 2]$ $1$
24.2-b \(\Q(\sqrt{7}) \) $[24,12,2w - 2]$ $1$
25.1-a \(\Q(\sqrt{7}) \) $[25, 5, 5]$ $1$
25.1-b \(\Q(\sqrt{7}) \) $[25, 5, 5]$ $1$
25.1-c \(\Q(\sqrt{7}) \) $[25, 5, 5]$ $2$
25.1-d \(\Q(\sqrt{7}) \) $[25, 5, 5]$ $2$
25.1-e \(\Q(\sqrt{7}) \) $[25, 5, 5]$ $4$
27.1-a \(\Q(\sqrt{7}) \) $[27, 9, 3w - 6]$ $1$
27.1-b \(\Q(\sqrt{7}) \) $[27, 9, 3w - 6]$ $1$
27.2-a \(\Q(\sqrt{7}) \) $[27,9,-3w - 6]$ $1$
27.2-b \(\Q(\sqrt{7}) \) $[27,9,-3w - 6]$ $1$
27.3-a \(\Q(\sqrt{7}) \) $[27, 27, 2w - 1]$ $1$
27.3-b \(\Q(\sqrt{7}) \) $[27, 27, 2w - 1]$ $1$
27.3-c \(\Q(\sqrt{7}) \) $[27, 27, 2w - 1]$ $2$
27.3-d \(\Q(\sqrt{7}) \) $[27, 27, 2w - 1]$ $2$
27.4-a \(\Q(\sqrt{7}) \) $[27,27,-2w - 1]$ $1$
27.4-b \(\Q(\sqrt{7}) \) $[27,27,-2w - 1]$ $1$
27.4-c \(\Q(\sqrt{7}) \) $[27,27,-2w - 1]$ $2$
27.4-d \(\Q(\sqrt{7}) \) $[27,27,-2w - 1]$ $2$
28.1-a \(\Q(\sqrt{7}) \) $[28, 14, 2w]$ $2$
28.1-b \(\Q(\sqrt{7}) \) $[28, 14, 2w]$ $2$
29.1-a \(\Q(\sqrt{7}) \) $[29, 29, -w - 6]$ $8$
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