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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
3920.2.a.a \(1\) \(31.301\) \(\Q\) None \(0\) \(-3\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}-q^{5}+6q^{9}-q^{11}+3q^{13}+\cdots\)
3920.2.a.e \(1\) \(31.301\) \(\Q\) None \(0\) \(-2\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q-2q^{3}-q^{5}+q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.f \(1\) \(31.301\) \(\Q\) None \(0\) \(-2\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q-2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3920.2.a.i \(1\) \(31.301\) \(\Q\) None \(0\) \(-2\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q-2q^{3}+q^{5}+q^{9}+q^{11}+3q^{13}+\cdots\)
3920.2.a.m \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(q-q^{3}-q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots\)
3920.2.a.n \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-q^{5}-2q^{9}+q^{11}-5q^{13}+\cdots\)
3920.2.a.q \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{5}-2q^{9}+2q^{11}-4q^{13}+\cdots\)
3920.2.a.r \(1\) \(31.301\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots\)
3920.2.a.u \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.v \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(q+q^{3}-q^{5}-2q^{9}+2q^{11}+4q^{13}+\cdots\)
3920.2.a.x \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.y \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots\)
3920.2.a.bb \(1\) \(31.301\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{5}-2q^{9}+5q^{11}-7q^{13}+\cdots\)
3920.2.a.bf \(1\) \(31.301\) \(\Q\) None \(0\) \(2\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(q+2q^{3}-q^{5}+q^{9}+q^{11}-3q^{13}+\cdots\)
3920.2.a.bg \(1\) \(31.301\) \(\Q\) None \(0\) \(2\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q+2q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
3920.2.a.bh \(1\) \(31.301\) \(\Q\) None \(0\) \(2\) \(1\) \(0\) \(-\) \(-\) \(+\) \(q+2q^{3}+q^{5}+q^{9}-3q^{11}-q^{13}+\cdots\)
3920.2.a.bm \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(-4\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+(-2+\beta )q^{3}+q^{5}+(3-4\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
3920.2.a.bn \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(+\) \(+\) \(q+(-1+\beta )q^{3}-q^{5}-2\beta q^{9}+q^{11}+\cdots\)
3920.2.a.bq \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}+(-2+\cdots)q^{11}+\cdots\)
3920.2.a.br \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}+(3-2\beta )q^{11}+\cdots\)
3920.2.a.bs \(2\) \(31.301\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(q-\beta q^{3}-q^{5}+(1+\beta )q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
3920.2.a.bt \(2\) \(31.301\) \(\Q(\sqrt{33}) \) None \(0\) \(-1\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q-\beta q^{3}+q^{5}+(5+\beta )q^{9}+(-4+\beta )q^{11}+\cdots\)
3920.2.a.bv \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}+(-2-2\beta )q^{11}+\cdots\)
3920.2.a.bx \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+(1-2\beta )q^{11}+\cdots\)
3920.2.a.ce \(4\) \(31.301\) 4.4.16448.2 None \(0\) \(2\) \(-4\) \(0\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{3}-q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
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