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Results (8 matches)

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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 7 41
2009.2.a.a \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None \(-1\) \(1\) \(-1\) \(0\) \(-\) \(-\) \(q-\beta q^{2}+(1-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{5}+\cdots\)
2009.2.a.c \(2\) \(16.042\) \(\Q(\sqrt{13}) \) None \(0\) \(-1\) \(1\) \(0\) \(-\) \(-\) \(q-\beta q^{3}-2q^{4}+(1-\beta )q^{5}+\beta q^{9}+(-2+\cdots)q^{11}+\cdots\)
2009.2.a.e \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(2\) \(0\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
2009.2.a.i \(3\) \(16.042\) 3.3.257.1 None \(0\) \(3\) \(0\) \(0\) \(-\) \(-\) \(q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
2009.2.a.j \(3\) \(16.042\) 3.3.257.1 None \(1\) \(1\) \(-6\) \(0\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2009.2.a.m \(5\) \(16.042\) 5.5.233489.1 None \(-2\) \(2\) \(-2\) \(0\) \(-\) \(-\) \(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{1})q^{4}-\beta _{3}q^{5}+\cdots\)
2009.2.a.n \(5\) \(16.042\) 5.5.633117.1 None \(-1\) \(-4\) \(5\) \(0\) \(-\) \(-\) \(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2009.2.a.p \(7\) \(16.042\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-1\) \(-7\) \(-4\) \(0\) \(-\) \(-\) \(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
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