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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
9216.2.a.b \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-8\) \(-\) \(-\) \(q+\beta q^{5}-4q^{7}+2\beta q^{11}-3\beta q^{13}+\cdots\)
9216.2.a.e \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+2\beta q^{5}+3\beta q^{7}-4q^{11}-3\beta q^{13}+\cdots\)
9216.2.a.f \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{5}-4q^{11}+\beta q^{13}+4q^{19}+4\beta q^{23}+\cdots\)
9216.2.a.g \(2\) \(73.590\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+3\beta q^{5}-\beta q^{13}-8q^{17}+13q^{25}+\cdots\)
9216.2.a.n \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{7}-\beta q^{13}+6q^{17}-6q^{19}+6\beta q^{23}+\cdots\)
9216.2.a.r \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{5}+4q^{11}+\beta q^{13}-4q^{19}-4\beta q^{23}+\cdots\)
9216.2.a.s \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(4\) \(-\) \(-\) \(q+\beta q^{5}+2q^{7}-\beta q^{11}-\beta q^{13}-2q^{17}+\cdots\)
9216.2.a.u \(2\) \(73.590\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(8\) \(-\) \(-\) \(q+\beta q^{5}+4q^{7}-2\beta q^{11}-3\beta q^{13}+\cdots\)
9216.2.a.w \(4\) \(73.590\) \(\Q(\zeta_{16})^+\) None \(0\) \(0\) \(-8\) \(0\) \(-\) \(-\) \(q+(-2-\beta _{2})q^{5}+(-\beta _{1}+\beta _{3})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.x \(4\) \(73.590\) 4.4.4352.1 None \(0\) \(0\) \(-4\) \(-4\) \(-\) \(-\) \(q+(-1-\beta _{3})q^{5}+(-1-\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.z \(4\) \(73.590\) \(\Q(\zeta_{16})^+\) None \(0\) \(0\) \(0\) \(-8\) \(-\) \(-\) \(q+(\beta _{2}-\beta _{3})q^{5}+(-2-\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.bb \(4\) \(73.590\) \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta _{3}q^{5}+(-\beta _{2}-\beta _{3})q^{7}+(-3-\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.bi \(4\) \(73.590\) \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+(\beta _{1}+\beta _{2})q^{5}-\beta _{2}q^{7}+(2-\beta _{3})q^{11}+\cdots\)
9216.2.a.bl \(4\) \(73.590\) \(\Q(\zeta_{16})^+\) None \(0\) \(0\) \(0\) \(8\) \(-\) \(-\) \(q+(\beta _{2}-\beta _{3})q^{5}+(2+\beta _{3})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.bn \(4\) \(73.590\) 4.4.4352.1 None \(0\) \(0\) \(4\) \(-4\) \(-\) \(-\) \(q+(1+\beta _{3})q^{5}+(-1-\beta _{2})q^{7}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
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