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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 13
3380.2.a.b \(1\) \(26.989\) \(\Q\) None \(0\) \(-3\) \(1\) \(3\) \(-\) \(-\) \(+\) \(q-3q^{3}+q^{5}+3q^{7}+6q^{9}+3q^{11}+\cdots\)
3380.2.a.c \(1\) \(26.989\) \(\Q\) None \(0\) \(-2\) \(1\) \(-2\) \(-\) \(-\) \(+\) \(q-2q^{3}+q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots\)
3380.2.a.e \(1\) \(26.989\) \(\Q\) None \(0\) \(-1\) \(1\) \(-5\) \(-\) \(-\) \(+\) \(q-q^{3}+q^{5}-5q^{7}-2q^{9}+5q^{11}+\cdots\)
3380.2.a.h \(1\) \(26.989\) \(\Q\) None \(0\) \(1\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{11}+q^{15}+\cdots\)
3380.2.a.i \(1\) \(26.989\) \(\Q\) None \(0\) \(1\) \(1\) \(1\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{5}+q^{7}-2q^{9}-3q^{11}+q^{15}+\cdots\)
3380.2.a.j \(1\) \(26.989\) \(\Q\) None \(0\) \(2\) \(1\) \(-2\) \(-\) \(-\) \(+\) \(q+2q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
3380.2.a.l \(3\) \(26.989\) \(\Q(\zeta_{14})^+\) None \(0\) \(-1\) \(3\) \(1\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{3}+q^{5}+\beta _{1}q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
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