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Results (displaying all 13 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 251
4016.2.a.a \(2\) \(32.068\) \(\Q(\sqrt{13}) \) None \(0\) \(-2\) \(5\) \(2\) \(-\) \(-\) \(q-q^{3}+(2+\beta )q^{5}+q^{7}-2q^{9}-3q^{11}+\cdots\)
4016.2.a.b \(2\) \(32.068\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-3\) \(4\) \(-\) \(+\) \(q+q^{3}+(-2+\beta )q^{5}+(1+2\beta )q^{7}-2q^{9}+\cdots\)
4016.2.a.c \(4\) \(32.068\) 4.4.725.1 None \(0\) \(2\) \(-3\) \(3\) \(-\) \(-\) \(q+\beta _{2}q^{3}+(-1+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+\cdots\)
4016.2.a.d \(5\) \(32.068\) 5.5.138917.1 None \(0\) \(-2\) \(7\) \(-1\) \(-\) \(+\) \(q+\beta _{4}q^{3}+(2+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots\)
4016.2.a.e \(5\) \(32.068\) 5.5.242773.1 None \(0\) \(1\) \(-6\) \(1\) \(-\) \(-\) \(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
4016.2.a.f \(6\) \(32.068\) 6.6.60853001.1 None \(0\) \(-1\) \(-1\) \(-6\) \(-\) \(-\) \(q+\beta _{4}q^{3}+(-1+\beta _{1}-\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
4016.2.a.g \(7\) \(32.068\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(3\) \(-2\) \(6\) \(-\) \(+\) \(q+\beta _{1}q^{3}+\beta _{5}q^{5}+(1+\beta _{6})q^{7}+(-1+\cdots)q^{9}+\cdots\)
4016.2.a.h \(9\) \(32.068\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(1\) \(-5\) \(0\) \(+\) \(+\) \(q+\beta _{1}q^{3}+(-1-\beta _{5})q^{5}+(-\beta _{6}+\beta _{7}+\cdots)q^{7}+\cdots\)
4016.2.a.i \(12\) \(32.068\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-3\) \(5\) \(-5\) \(+\) \(+\) \(q-\beta _{1}q^{3}+\beta _{8}q^{5}-\beta _{5}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
4016.2.a.j \(14\) \(32.068\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(0\) \(-3\) \(-2\) \(-8\) \(-\) \(-\) \(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-1+\beta _{9})q^{7}+(1+\cdots)q^{9}+\cdots\)
4016.2.a.k \(17\) \(32.068\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(0\) \(0\) \(3\) \(-3\) \(-\) \(+\) \(q+\beta _{4}q^{3}+\beta _{6}q^{5}+\beta _{13}q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4016.2.a.l \(19\) \(32.068\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(6\) \(-8\) \(11\) \(+\) \(-\) \(q+\beta _{1}q^{3}+\beta _{4}q^{5}+(1+\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots\)
4016.2.a.m \(23\) \(32.068\) None \(0\) \(-2\) \(8\) \(-2\) \(+\) \(-\)


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