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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 43
1849.4.a.a \(1\) \(109.095\) \(\Q\) \(\Q(\sqrt{-43}) \) \(0\) \(0\) \(0\) \(0\) \(+\) \(q-8q^{4}-3^{3}q^{9}+2^{5}q^{11}-90q^{13}+\cdots\)
1849.4.a.d \(10\) \(109.095\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-1\) \(5\) \(19\) \(51\) \(+\) \(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(4+\beta _{2})q^{4}+(2-\beta _{7}+\cdots)q^{5}+\cdots\)
1849.4.a.e \(10\) \(109.095\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(5+\beta _{7}+\beta _{9})q^{4}+\cdots\)
1849.4.a.h \(30\) \(109.095\) None \(6\) \(2\) \(27\) \(48\) \(+\)
1849.4.a.l \(60\) \(109.095\) None \(15\) \(37\) \(51\) \(54\) \(+\)
1849.4.a.m \(110\) \(109.095\) None \(0\) \(0\) \(0\) \(0\) \(+\)
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