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Label Base field Level Dimension
1.1-a \(\Q(\zeta_{28})^+\) $[1, 1, 1]$ $1$
1.1-b \(\Q(\zeta_{28})^+\) $[1, 1, 1]$ $2$
8.1-a \(\Q(\zeta_{28})^+\) $[8, 2, w^{3} + w^{2} - 2w - 1]$ $4$
27.1-a \(\Q(\zeta_{28})^+\) $[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ $3$
27.1-b \(\Q(\zeta_{28})^+\) $[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ $3$
27.1-c \(\Q(\zeta_{28})^+\) $[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ $3$
27.1-d \(\Q(\zeta_{28})^+\) $[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ $3$
27.2-a \(\Q(\zeta_{28})^+\) $[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ $3$
27.2-b \(\Q(\zeta_{28})^+\) $[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ $3$
27.2-c \(\Q(\zeta_{28})^+\) $[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ $3$
27.2-d \(\Q(\zeta_{28})^+\) $[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ $3$
29.1-a \(\Q(\zeta_{28})^+\) $[29, 29, w^{2} + w - 3]$ $1$
29.1-b \(\Q(\zeta_{28})^+\) $[29, 29, w^{2} + w - 3]$ $1$
29.1-c \(\Q(\zeta_{28})^+\) $[29, 29, w^{2} + w - 3]$ $1$
29.1-d \(\Q(\zeta_{28})^+\) $[29, 29, w^{2} + w - 3]$ $1$
29.1-e \(\Q(\zeta_{28})^+\) $[29, 29, w^{2} + w - 3]$ $12$
29.2-a \(\Q(\zeta_{28})^+\) $[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ $1$
29.2-b \(\Q(\zeta_{28})^+\) $[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ $1$
29.2-c \(\Q(\zeta_{28})^+\) $[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ $1$
29.2-d \(\Q(\zeta_{28})^+\) $[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ $1$
29.2-e \(\Q(\zeta_{28})^+\) $[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ $12$
29.3-a \(\Q(\zeta_{28})^+\) $[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ $1$
29.3-b \(\Q(\zeta_{28})^+\) $[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ $1$
29.3-c \(\Q(\zeta_{28})^+\) $[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ $1$
29.3-d \(\Q(\zeta_{28})^+\) $[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ $1$
29.3-e \(\Q(\zeta_{28})^+\) $[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ $12$
29.4-a \(\Q(\zeta_{28})^+\) $[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ $1$
29.4-b \(\Q(\zeta_{28})^+\) $[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ $1$
29.4-c \(\Q(\zeta_{28})^+\) $[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ $1$
29.4-d \(\Q(\zeta_{28})^+\) $[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ $1$
29.4-e \(\Q(\zeta_{28})^+\) $[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ $12$
29.5-a \(\Q(\zeta_{28})^+\) $[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ $1$
29.5-b \(\Q(\zeta_{28})^+\) $[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ $1$
29.5-c \(\Q(\zeta_{28})^+\) $[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ $1$
29.5-d \(\Q(\zeta_{28})^+\) $[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ $1$
29.5-e \(\Q(\zeta_{28})^+\) $[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ $12$
29.6-a \(\Q(\zeta_{28})^+\) $[29,29,w^{2} - w - 3]$ $1$
29.6-b \(\Q(\zeta_{28})^+\) $[29,29,w^{2} - w - 3]$ $1$
29.6-c \(\Q(\zeta_{28})^+\) $[29,29,w^{2} - w - 3]$ $1$
29.6-d \(\Q(\zeta_{28})^+\) $[29,29,w^{2} - w - 3]$ $1$
29.6-e \(\Q(\zeta_{28})^+\) $[29,29,w^{2} - w - 3]$ $12$
49.1-a \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $1$
49.1-b \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $2$
49.1-c \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $2$
49.1-d \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $4$
49.1-e \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $4$
49.1-f \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $6$
49.1-g \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $6$
49.1-h \(\Q(\zeta_{28})^+\) $[49, 7, -w^{4} + 3w^{2}]$ $6$
56.1-a \(\Q(\zeta_{28})^+\) $[56, 14, -w^{5} - w^{4} + 4w^{3} + 3w^{2} - 2w]$ $1$
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