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Label Base field Level Dimension
1.1-a \(\Q(\zeta_{16})^+\) $[1, 1, 1]$ $1$
16.1-a \(\Q(\zeta_{16})^+\) $[16, 2, 2]$ $1$
17.1-a \(\Q(\zeta_{16})^+\) $[17, 17, -w^{2} - w + 3]$ $1$
17.1-b \(\Q(\zeta_{16})^+\) $[17, 17, -w^{2} - w + 3]$ $1$
17.2-a \(\Q(\zeta_{16})^+\) $[17,17,w^{3} + w^{2} - 3w - 1]$ $1$
17.2-b \(\Q(\zeta_{16})^+\) $[17,17,w^{3} + w^{2} - 3w - 1]$ $1$
17.3-a \(\Q(\zeta_{16})^+\) $[17,17,-w^{3} + w^{2} + 3w - 1]$ $1$
17.3-b \(\Q(\zeta_{16})^+\) $[17,17,-w^{3} + w^{2} + 3w - 1]$ $1$
17.4-a \(\Q(\zeta_{16})^+\) $[17,17,-w^{2} + w + 3]$ $1$
17.4-b \(\Q(\zeta_{16})^+\) $[17,17,-w^{2} + w + 3]$ $1$
31.1-a \(\Q(\zeta_{16})^+\) $[31, 31, w^{3} + w^{2} - 2w - 3]$ $1$
31.2-a \(\Q(\zeta_{16})^+\) $[31,31,w^{3} - w^{2} - 4w + 1]$ $1$
31.3-a \(\Q(\zeta_{16})^+\) $[31,31,-w^{3} - w^{2} + 4w + 1]$ $1$
31.4-a \(\Q(\zeta_{16})^+\) $[31,31,-w^{3} + w^{2} + 2w - 3]$ $1$
32.1-a \(\Q(\zeta_{16})^+\) $[32, 4, 2w]$ $1$
34.1-a \(\Q(\zeta_{16})^+\) $[34, 34, w^{2} - w - 4]$ $1$
34.1-b \(\Q(\zeta_{16})^+\) $[34, 34, w^{2} - w - 4]$ $1$
34.2-a \(\Q(\zeta_{16})^+\) $[34,34,w^{3} - w^{2} - 3w]$ $1$
34.2-b \(\Q(\zeta_{16})^+\) $[34,34,w^{3} - w^{2} - 3w]$ $1$
34.3-a \(\Q(\zeta_{16})^+\) $[34,34,-w^{3} - w^{2} + 3w]$ $1$
34.3-b \(\Q(\zeta_{16})^+\) $[34,34,-w^{3} - w^{2} + 3w]$ $1$
34.4-a \(\Q(\zeta_{16})^+\) $[34,34,w^{2} + w - 4]$ $1$
34.4-b \(\Q(\zeta_{16})^+\) $[34,34,w^{2} + w - 4]$ $1$
47.1-a \(\Q(\zeta_{16})^+\) $[47, 47, -2w^{3} + w^{2} + 5w - 1]$ $2$
47.2-a \(\Q(\zeta_{16})^+\) $[47,47,w^{3} - w^{2} - 5w + 3]$ $2$
47.3-a \(\Q(\zeta_{16})^+\) $[47,47,-w^{3} - w^{2} + 5w + 3]$ $2$
47.4-a \(\Q(\zeta_{16})^+\) $[47,47,2w^{3} + w^{2} - 5w - 1]$ $2$
49.1-a \(\Q(\zeta_{16})^+\) $[49, 7, w^{2} + 1]$ $6$
49.2-a \(\Q(\zeta_{16})^+\) $[49,7,-w^{2} + 5]$ $6$
62.1-a \(\Q(\zeta_{16})^+\) $[62, 62, w^{3} + w^{2} - 5w - 2]$ $1$
62.1-b \(\Q(\zeta_{16})^+\) $[62, 62, w^{3} + w^{2} - 5w - 2]$ $2$
62.2-a \(\Q(\zeta_{16})^+\) $[62,62,-2w^{3} - w^{2} + 5w + 2]$ $1$
62.2-b \(\Q(\zeta_{16})^+\) $[62,62,-2w^{3} - w^{2} + 5w + 2]$ $2$
62.3-a \(\Q(\zeta_{16})^+\) $[62,62,2w^{3} - w^{2} - 5w + 2]$ $1$
62.3-b \(\Q(\zeta_{16})^+\) $[62,62,2w^{3} - w^{2} - 5w + 2]$ $2$
62.4-a \(\Q(\zeta_{16})^+\) $[62,62,-w^{3} + w^{2} + 5w - 2]$ $1$
62.4-b \(\Q(\zeta_{16})^+\) $[62,62,-w^{3} + w^{2} + 5w - 2]$ $2$
64.1-a \(\Q(\zeta_{16})^+\) $[64, 4, 2w^{2} - 4]$ $1$
64.1-b \(\Q(\zeta_{16})^+\) $[64, 4, 2w^{2} - 4]$ $2$
68.1-a \(\Q(\zeta_{16})^+\) $[68, 34, -w^{3} + w^{2} + 2w - 4]$ $1$
68.2-a \(\Q(\zeta_{16})^+\) $[68,34,w^{3} - w^{2} - 4w]$ $1$
68.3-a \(\Q(\zeta_{16})^+\) $[68,34,-w^{3} - w^{2} + 4w]$ $1$
68.4-a \(\Q(\zeta_{16})^+\) $[68,34,w^{3} + w^{2} - 2w - 4]$ $1$
79.1-a \(\Q(\zeta_{16})^+\) $[79, 79, -w^{3} - w^{2} + 4w - 1]$ $1$
79.1-b \(\Q(\zeta_{16})^+\) $[79, 79, -w^{3} - w^{2} + 4w - 1]$ $5$
79.2-a \(\Q(\zeta_{16})^+\) $[79,79,-w^{3} + w^{2} + 2w - 5]$ $1$
79.2-b \(\Q(\zeta_{16})^+\) $[79,79,-w^{3} + w^{2} + 2w - 5]$ $5$
79.3-a \(\Q(\zeta_{16})^+\) $[79,79,w^{3} + w^{2} - 2w - 5]$ $1$
79.3-b \(\Q(\zeta_{16})^+\) $[79,79,w^{3} + w^{2} - 2w - 5]$ $5$
79.4-a \(\Q(\zeta_{16})^+\) $[79,79,w^{3} - w^{2} - 4w - 1]$ $1$
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