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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 11 19
4598.2.a.a \(1\) \(36.715\) \(\Q\) None \(-1\) \(-1\) \(-4\) \(-3\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-3q^{7}+\cdots\)
4598.2.a.c \(1\) \(36.715\) \(\Q\) None \(-1\) \(-1\) \(2\) \(3\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+3q^{7}+\cdots\)
4598.2.a.h \(1\) \(36.715\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
4598.2.a.u \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(-3\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
4598.2.a.bk \(3\) \(36.715\) 3.3.568.1 None \(-3\) \(-2\) \(-1\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots\)
4598.2.a.bm \(3\) \(36.715\) 3.3.469.1 None \(-3\) \(1\) \(5\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(2-\beta _{1})q^{5}-\beta _{1}q^{6}+\cdots\)
4598.2.a.bx \(8\) \(36.715\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(0\) \(2\) \(-8\) \(+\) \(-\) \(-\) \(q-q^{2}+(\beta _{2}+\beta _{4}-\beta _{6})q^{3}+q^{4}-\beta _{3}q^{5}+\cdots\)
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