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Label Base field Level Dimension
1.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[1, 1, 1]$ $1$
1.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[1, 1, 1]$ $1$
1.1-c \(\Q(\sqrt{3}, \sqrt{7})\) $[1, 1, 1]$ $2$
4.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[4, 2, -w^{3} + 4w - 1]$ $2$
9.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[9,3,w^{3} - w^{2} - 5w + 3]$ $1$
9.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[9,3,w^{3} - w^{2} - 5w + 3]$ $1$
9.1-c \(\Q(\sqrt{3}, \sqrt{7})\) $[9,3,w^{3} - w^{2} - 5w + 3]$ $1$
9.2-a \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, -w^{3} - w^{2} + 5w + 3]$ $1$
9.2-b \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, -w^{3} - w^{2} + 5w + 3]$ $1$
9.2-c \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, -w^{3} - w^{2} + 5w + 3]$ $1$
9.3-a \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, w^{3} - 4w]$ $1$
9.3-b \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, w^{3} - 4w]$ $1$
9.3-c \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, w^{3} - 4w]$ $2$
9.3-d \(\Q(\sqrt{3}, \sqrt{7})\) $[9, 3, w^{3} - 4w]$ $2$
12.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[12, 6, -w^{3} - w^{2} + 5w + 2]$ $1$
12.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[12, 6, -w^{3} - w^{2} + 5w + 2]$ $1$
12.2-a \(\Q(\sqrt{3}, \sqrt{7})\) $[12,6,w^{3} - w^{2} - 5w + 2]$ $1$
12.2-b \(\Q(\sqrt{3}, \sqrt{7})\) $[12,6,w^{3} - w^{2} - 5w + 2]$ $1$
16.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[16, 2, 2]$ $1$
16.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[16, 2, 2]$ $1$
16.1-c \(\Q(\sqrt{3}, \sqrt{7})\) $[16, 2, 2]$ $1$
16.1-d \(\Q(\sqrt{3}, \sqrt{7})\) $[16, 2, 2]$ $2$
25.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[25, 5, w^{2} - 3]$ $4$
25.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[25, 5, w^{2} - 3]$ $4$
25.1-c \(\Q(\sqrt{3}, \sqrt{7})\) $[25, 5, w^{2} - 3]$ $4$
25.1-d \(\Q(\sqrt{3}, \sqrt{7})\) $[25, 5, w^{2} - 3]$ $6$
25.2-a \(\Q(\sqrt{3}, \sqrt{7})\) $[25,5,-w^{2} + 2]$ $4$
25.2-b \(\Q(\sqrt{3}, \sqrt{7})\) $[25,5,-w^{2} + 2]$ $4$
25.2-c \(\Q(\sqrt{3}, \sqrt{7})\) $[25,5,-w^{2} + 2]$ $4$
25.2-d \(\Q(\sqrt{3}, \sqrt{7})\) $[25,5,-w^{2} + 2]$ $6$
27.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 3, -w^{3} + w^{2} + 4w - 1]$ $1$
27.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 3, -w^{3} + w^{2} + 4w - 1]$ $1$
27.1-c \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 3, -w^{3} + w^{2} + 4w - 1]$ $1$
27.1-d \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 3, -w^{3} + w^{2} + 4w - 1]$ $1$
27.2-a \(\Q(\sqrt{3}, \sqrt{7})\) $[27,3,w^{3} + w^{2} - 4w - 1]$ $1$
27.2-b \(\Q(\sqrt{3}, \sqrt{7})\) $[27,3,w^{3} + w^{2} - 4w - 1]$ $1$
27.2-c \(\Q(\sqrt{3}, \sqrt{7})\) $[27,3,w^{3} + w^{2} - 4w - 1]$ $1$
27.2-d \(\Q(\sqrt{3}, \sqrt{7})\) $[27,3,w^{3} + w^{2} - 4w - 1]$ $1$
27.3-a \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 9, -w^{3} + 3w + 2]$ $1$
27.3-b \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 9, -w^{3} + 3w + 2]$ $1$
27.3-c \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 9, -w^{3} + 3w + 2]$ $1$
27.3-d \(\Q(\sqrt{3}, \sqrt{7})\) $[27, 9, -w^{3} + 3w + 2]$ $1$
27.4-a \(\Q(\sqrt{3}, \sqrt{7})\) $[27,9,w^{3} - 3w + 2]$ $1$
27.4-b \(\Q(\sqrt{3}, \sqrt{7})\) $[27,9,w^{3} - 3w + 2]$ $1$
27.4-c \(\Q(\sqrt{3}, \sqrt{7})\) $[27,9,w^{3} - 3w + 2]$ $1$
27.4-d \(\Q(\sqrt{3}, \sqrt{7})\) $[27,9,w^{3} - 3w + 2]$ $1$
36.1-a \(\Q(\sqrt{3}, \sqrt{7})\) $[36,6,w^{3} - 6w + 1]$ $2$
36.1-b \(\Q(\sqrt{3}, \sqrt{7})\) $[36,6,w^{3} - 6w + 1]$ $2$
36.1-c \(\Q(\sqrt{3}, \sqrt{7})\) $[36,6,w^{3} - 6w + 1]$ $2$
36.1-d \(\Q(\sqrt{3}, \sqrt{7})\) $[36,6,w^{3} - 6w + 1]$ $2$
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