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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
588.4.a.a \(1\) \(34.693\) \(\Q\) None \(0\) \(-3\) \(-14\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-14q^{5}+9q^{9}+4q^{11}-54q^{13}+\cdots\)
588.4.a.b \(1\) \(34.693\) \(\Q\) None \(0\) \(-3\) \(4\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+4q^{5}+9q^{9}-20q^{11}-4q^{13}+\cdots\)
588.4.a.c \(1\) \(34.693\) \(\Q\) None \(0\) \(-3\) \(18\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+18q^{5}+9q^{9}+6^{2}q^{11}+10q^{13}+\cdots\)
588.4.a.f \(2\) \(34.693\) \(\Q(\sqrt{193}) \) None \(0\) \(-6\) \(-11\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+(-5-\beta )q^{5}+9q^{9}+(1-7\beta )q^{11}+\cdots\)
588.4.a.i \(2\) \(34.693\) \(\Q(\sqrt{193}) \) None \(0\) \(6\) \(11\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+(6-\beta )q^{5}+9q^{9}+(-6+7\beta )q^{11}+\cdots\)
588.4.a.k \(4\) \(34.693\) 4.4.136768.1 None \(0\) \(12\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}+\beta _{1}q^{5}+9q^{9}+(3\beta _{1}-\beta _{3})q^{11}+\cdots\)
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