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Label Base field Level Dimension
1.1-a \(\Q(\zeta_{13})^+\) $[1, 1, 1]$ $1$
13.1-a \(\Q(\zeta_{13})^+\) $[13, 13, w^{5} - 5w^{3} + 4w]$ $2$
25.1-a \(\Q(\zeta_{13})^+\) $[25, 5, w^{5} - 5w^{3} + 6w - 1]$ $3$
25.2-a \(\Q(\zeta_{13})^+\) $[25,5,w^{3} - w^{2} - 3w + 1]$ $3$
25.3-a \(\Q(\zeta_{13})^+\) $[25,5,-w^{5} + 4w^{3} + w^{2} - 3w - 2]$ $3$
27.1-a \(\Q(\zeta_{13})^+\) $[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ $1$
27.1-b \(\Q(\zeta_{13})^+\) $[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ $1$
27.2-a \(\Q(\zeta_{13})^+\) $[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$ $1$
27.2-b \(\Q(\zeta_{13})^+\) $[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$ $1$
53.1-a \(\Q(\zeta_{13})^+\) $[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ $1$
53.1-b \(\Q(\zeta_{13})^+\) $[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ $2$
53.1-c \(\Q(\zeta_{13})^+\) $[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$ $3$
53.2-a \(\Q(\zeta_{13})^+\) $[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$ $1$
53.2-b \(\Q(\zeta_{13})^+\) $[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$ $2$
53.2-c \(\Q(\zeta_{13})^+\) $[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$ $3$
53.3-a \(\Q(\zeta_{13})^+\) $[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$ $1$
53.3-b \(\Q(\zeta_{13})^+\) $[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$ $2$
53.3-c \(\Q(\zeta_{13})^+\) $[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$ $3$
53.4-a \(\Q(\zeta_{13})^+\) $[53,53,-w^{3} + 2w + 2]$ $1$
53.4-b \(\Q(\zeta_{13})^+\) $[53,53,-w^{3} + 2w + 2]$ $2$
53.4-c \(\Q(\zeta_{13})^+\) $[53,53,-w^{3} + 2w + 2]$ $3$
53.5-a \(\Q(\zeta_{13})^+\) $[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$ $1$
53.5-b \(\Q(\zeta_{13})^+\) $[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$ $2$
53.5-c \(\Q(\zeta_{13})^+\) $[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$ $3$
53.6-a \(\Q(\zeta_{13})^+\) $[53,53,w^{4} - 4w^{2} - w + 4]$ $1$
53.6-b \(\Q(\zeta_{13})^+\) $[53,53,w^{4} - 4w^{2} - w + 4]$ $2$
53.6-c \(\Q(\zeta_{13})^+\) $[53,53,w^{4} - 4w^{2} - w + 4]$ $3$
64.1-a \(\Q(\zeta_{13})^+\) $[64, 2, -2]$ $1$
64.1-b \(\Q(\zeta_{13})^+\) $[64, 2, -2]$ $1$
64.1-c \(\Q(\zeta_{13})^+\) $[64, 2, -2]$ $2$
64.1-d \(\Q(\zeta_{13})^+\) $[64, 2, -2]$ $3$
79.1-a \(\Q(\zeta_{13})^+\) $[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ $1$
79.1-b \(\Q(\zeta_{13})^+\) $[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ $1$
79.1-c \(\Q(\zeta_{13})^+\) $[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ $1$
79.1-d \(\Q(\zeta_{13})^+\) $[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ $1$
79.1-e \(\Q(\zeta_{13})^+\) $[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$ $5$
79.2-a \(\Q(\zeta_{13})^+\) $[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ $1$
79.2-b \(\Q(\zeta_{13})^+\) $[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ $1$
79.2-c \(\Q(\zeta_{13})^+\) $[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ $1$
79.2-d \(\Q(\zeta_{13})^+\) $[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ $1$
79.2-e \(\Q(\zeta_{13})^+\) $[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$ $5$
79.3-a \(\Q(\zeta_{13})^+\) $[79,79,-w^{3} + w^{2} + 4w - 1]$ $1$
79.3-b \(\Q(\zeta_{13})^+\) $[79,79,-w^{3} + w^{2} + 4w - 1]$ $1$
79.3-c \(\Q(\zeta_{13})^+\) $[79,79,-w^{3} + w^{2} + 4w - 1]$ $1$
79.3-d \(\Q(\zeta_{13})^+\) $[79,79,-w^{3} + w^{2} + 4w - 1]$ $1$
79.3-e \(\Q(\zeta_{13})^+\) $[79,79,-w^{3} + w^{2} + 4w - 1]$ $5$
79.4-a \(\Q(\zeta_{13})^+\) $[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ $1$
79.4-b \(\Q(\zeta_{13})^+\) $[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ $1$
79.4-c \(\Q(\zeta_{13})^+\) $[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ $1$
79.4-d \(\Q(\zeta_{13})^+\) $[79,79,w^{5} - 3w^{3} - w^{2} + 2]$ $1$
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