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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 7
294.4.a.b \(1\) \(17.347\) \(\Q\) None \(-2\) \(-3\) \(-8\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{2}-3q^{3}+4q^{4}-8q^{5}+6q^{6}+\cdots\)
294.4.a.c \(1\) \(17.347\) \(\Q\) None \(-2\) \(-3\) \(6\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{2}-3q^{3}+4q^{4}+6q^{5}+6q^{6}+\cdots\)
294.4.a.d \(1\) \(17.347\) \(\Q\) None \(-2\) \(3\) \(-6\) \(0\) \(+\) \(-\) \(+\) \(q-2q^{2}+3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
294.4.a.i \(1\) \(17.347\) \(\Q\) None \(2\) \(3\) \(-18\) \(0\) \(-\) \(-\) \(-\) \(q+2q^{2}+3q^{3}+4q^{4}-18q^{5}+6q^{6}+\cdots\)
294.4.a.k \(2\) \(17.347\) \(\Q(\sqrt{2}) \) None \(-4\) \(6\) \(-12\) \(0\) \(+\) \(-\) \(+\) \(q-2q^{2}+3q^{3}+4q^{4}+(-6+\beta )q^{5}+\cdots\)
294.4.a.l \(2\) \(17.347\) \(\Q(\sqrt{2}) \) None \(4\) \(-6\) \(-12\) \(0\) \(-\) \(+\) \(+\) \(q+2q^{2}-3q^{3}+4q^{4}+(-6+\beta )q^{5}+\cdots\)
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