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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 7
9800.2.a.g \(1\) \(78.253\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{3}+q^{9}-q^{11}-3q^{13}-2q^{17}+\cdots\)
9800.2.a.i \(1\) \(78.253\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{19}+\cdots\)
9800.2.a.l \(1\) \(78.253\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-2q^{3}+q^{9}+5q^{11}-8q^{17}+2q^{19}+\cdots\)
9800.2.a.m \(1\) \(78.253\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{9}-5q^{11}-7q^{13}+3q^{17}+\cdots\)
9800.2.a.u \(1\) \(78.253\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-3q^{9}-4q^{11}+2q^{13}-6q^{17}-8q^{19}+\cdots\)
9800.2.a.y \(1\) \(78.253\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+q^{3}-2q^{9}-5q^{11}+7q^{13}-3q^{17}+\cdots\)
9800.2.a.ba \(1\) \(78.253\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+q^{3}-2q^{9}-q^{11}-6q^{13}+7q^{17}+\cdots\)
9800.2.a.bc \(1\) \(78.253\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+q^{3}-2q^{9}+2q^{11}+4q^{17}+2q^{19}+\cdots\)
9800.2.a.bn \(1\) \(78.253\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+2q^{3}+q^{9}+4q^{11}+2q^{13}-2q^{19}+\cdots\)
9800.2.a.bp \(1\) \(78.253\) \(\Q\) None \(0\) \(3\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+3q^{3}+6q^{9}-q^{11}+2q^{13}+3q^{17}+\cdots\)
9800.2.a.br \(2\) \(78.253\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+(-1+\beta )q^{3}-2\beta q^{9}+(-2+2\beta )q^{11}+\cdots\)
9800.2.a.bu \(2\) \(78.253\) \(\Q(\sqrt{33}) \) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-\beta q^{3}+(5+\beta )q^{9}+(4-\beta )q^{11}+(2+\cdots)q^{13}+\cdots\)
9800.2.a.bx \(2\) \(78.253\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{3}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots\)
9800.2.a.by \(2\) \(78.253\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{3}+(1+\beta )q^{9}-\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
9800.2.a.ck \(4\) \(78.253\) 4.4.43449.1 None \(0\) \(-3\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+(-1+\beta _{1})q^{3}+(2-\beta _{1}+\beta _{2})q^{9}+\cdots\)
9800.2.a.cr \(4\) \(78.253\) \(\Q(\sqrt{7}, \sqrt{15})\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta _{2}q^{3}+(2-\beta _{3})q^{9}+q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
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