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Label Base field Level Dimension
27.1-a \(\Q(\zeta_{7})^+\) $[27, 3, 3]$ $1$
41.1-a \(\Q(\zeta_{7})^+\) $[41, 41, w^{2} - w - 5]$ $1$
41.2-a \(\Q(\zeta_{7})^+\) $[41,41,-w^{2} - 2]$ $1$
41.3-a \(\Q(\zeta_{7})^+\) $[41,41,w - 4]$ $1$
49.1-a \(\Q(\zeta_{7})^+\) $[49, 7, -w^{2} + 3w + 3]$ $1$
56.1-a \(\Q(\zeta_{7})^+\) $[56, 14, 4w^{2} - 2w - 6]$ $1$
64.1-a \(\Q(\zeta_{7})^+\) $[64, 4, 4]$ $1$
71.1-a \(\Q(\zeta_{7})^+\) $[71, 71, 4w^{2} - 3w - 5]$ $1$
71.2-a \(\Q(\zeta_{7})^+\) $[71,71,-3w^{2} - w + 6]$ $1$
71.3-a \(\Q(\zeta_{7})^+\) $[71,71,-w^{2} + 4w + 1]$ $1$
83.1-a \(\Q(\zeta_{7})^+\) $[83, 83, w^{2} + w - 7]$ $2$
83.2-a \(\Q(\zeta_{7})^+\) $[83,83,w^{2} - 2w - 6]$ $2$
83.3-a \(\Q(\zeta_{7})^+\) $[83,83,-2w^{2} + w - 2]$ $2$
91.1-a \(\Q(\zeta_{7})^+\) $[91, 91, w^{2} - w - 6]$ $1$
91.2-a \(\Q(\zeta_{7})^+\) $[91,91,-w^{2} - 3]$ $1$
91.3-a \(\Q(\zeta_{7})^+\) $[91,91,w - 5]$ $1$
97.1-a \(\Q(\zeta_{7})^+\) $[97, 97, 3w^{2} + w - 7]$ $1$
97.2-a \(\Q(\zeta_{7})^+\) $[97,97,-4w^{2} + 3w + 4]$ $1$
97.3-a \(\Q(\zeta_{7})^+\) $[97,97,w^{2} - 4w - 2]$ $1$
104.1-a \(\Q(\zeta_{7})^+\) $[104, 26, -2w^{2} - 2w + 6]$ $1$
104.1-b \(\Q(\zeta_{7})^+\) $[104, 26, -2w^{2} - 2w + 6]$ $1$
104.2-a \(\Q(\zeta_{7})^+\) $[104,26,-2w^{2} + 4w + 4]$ $1$
104.2-b \(\Q(\zeta_{7})^+\) $[104,26,-2w^{2} + 4w + 4]$ $1$
104.3-a \(\Q(\zeta_{7})^+\) $[104,26,4w^{2} - 2w - 4]$ $1$
104.3-b \(\Q(\zeta_{7})^+\) $[104,26,4w^{2} - 2w - 4]$ $1$
113.1-a \(\Q(\zeta_{7})^+\) $[113, 113, 3w^{2} + w - 8]$ $1$
113.2-a \(\Q(\zeta_{7})^+\) $[113,113,-4w^{2} + 3w + 3]$ $1$
113.3-a \(\Q(\zeta_{7})^+\) $[113,113,w^{2} - 4w - 3]$ $1$
125.1-a \(\Q(\zeta_{7})^+\) $[125, 5, -5]$ $2$
127.1-a \(\Q(\zeta_{7})^+\) $[127, 127, 2w^{2} - 9]$ $1$
127.2-a \(\Q(\zeta_{7})^+\) $[127,127,-2w^{2} + 2w - 3]$ $1$
127.3-a \(\Q(\zeta_{7})^+\) $[127,127,-2w - 5]$ $1$
139.1-a \(\Q(\zeta_{7})^+\) $[139, 139, 5w^{2} - 4w - 6]$ $2$
139.2-a \(\Q(\zeta_{7})^+\) $[139,139,-4w^{2} - w + 8]$ $2$
139.3-a \(\Q(\zeta_{7})^+\) $[139,139,-w^{2} + 5w + 1]$ $2$
167.1-a \(\Q(\zeta_{7})^+\) $[167, 167, w^{2} + w - 8]$ $3$
167.2-a \(\Q(\zeta_{7})^+\) $[167,167,w^{2} - 2w - 7]$ $3$
167.3-a \(\Q(\zeta_{7})^+\) $[167,167,-2w^{2} + w - 3]$ $3$
169.1-a \(\Q(\zeta_{7})^+\) $[169, 13, -3w^{2} - 2w + 7]$ $1$
169.2-a \(\Q(\zeta_{7})^+\) $[169,13,5w^{2} - 3w - 6]$ $1$
169.3-a \(\Q(\zeta_{7})^+\) $[169,13,-2w^{2} + 5w + 3]$ $1$
169.4-a \(\Q(\zeta_{7})^+\) $[169, 169, -w^{2} + w + 7]$ $2$
169.5-a \(\Q(\zeta_{7})^+\) $[169,169,w^{2} + 4]$ $2$
169.6-a \(\Q(\zeta_{7})^+\) $[169,169,-w + 6]$ $2$
181.1-a \(\Q(\zeta_{7})^+\) $[181, 181, 4w^{2} + w - 9]$ $1$
181.1-b \(\Q(\zeta_{7})^+\) $[181, 181, 4w^{2} + w - 9]$ $1$
181.2-a \(\Q(\zeta_{7})^+\) $[181,181,-5w^{2} + 4w + 5]$ $1$
181.2-b \(\Q(\zeta_{7})^+\) $[181,181,-5w^{2} + 4w + 5]$ $1$
181.3-a \(\Q(\zeta_{7})^+\) $[181,181,w^{2} - 5w - 2]$ $1$
181.3-b \(\Q(\zeta_{7})^+\) $[181,181,w^{2} - 5w - 2]$ $1$
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