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Results (displaying all 12 matches)

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4012.2.a.a \(1\) \(32.036\) \(\Q\) None \(0\) \(-3\) \(-3\) \(-1\) \(-\) \(q-3q^{3}-3q^{5}-q^{7}+6q^{9}-2q^{11}+\cdots\)
4012.2.a.b \(1\) \(32.036\) \(\Q\) None \(0\) \(-3\) \(-1\) \(-5\) \(+\) \(q-3q^{3}-q^{5}-5q^{7}+6q^{9}-2q^{11}+\cdots\)
4012.2.a.c \(1\) \(32.036\) \(\Q\) None \(0\) \(-1\) \(-3\) \(1\) \(+\) \(q-q^{3}-3q^{5}+q^{7}-2q^{9}+2q^{11}+\cdots\)
4012.2.a.d \(2\) \(32.036\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(3\) \(-6\) \(+\) \(q-2\beta q^{3}+(2-\beta )q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
4012.2.a.e \(2\) \(32.036\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-\beta q^{3}-q^{5}+\beta q^{7}+2q^{9}-2\beta q^{11}+\cdots\)
4012.2.a.f \(3\) \(32.036\) 3.3.321.1 None \(0\) \(-3\) \(1\) \(3\) \(+\) \(q-q^{3}-\beta _{1}q^{5}+q^{7}-2q^{9}-2q^{11}+\cdots\)
4012.2.a.g \(12\) \(32.036\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-4\) \(3\) \(2\) \(+\) \(q-\beta _{1}q^{3}+\beta _{9}q^{5}+(-\beta _{2}+\beta _{8}-\beta _{9}+\cdots)q^{7}+\cdots\)
4012.2.a.h \(15\) \(32.036\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-1\) \(1\) \(-11\) \(+\) \(q+\beta _{5}q^{3}-\beta _{8}q^{5}+(-1-\beta _{9})q^{7}+(1+\cdots)q^{9}+\cdots\)
4012.2.a.i \(18\) \(32.036\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(8\) \(4\) \(2\) \(-\) \(q+\beta _{1}q^{3}-\beta _{9}q^{5}-\beta _{8}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
4012.2.a.j \(21\) \(32.036\) None \(0\) \(9\) \(1\) \(11\) \(-\)
4012.2.b.a \(40\) \(32.036\) None \(0\) \(0\) \(0\) \(0\)
4012.2.b.b \(46\) \(32.036\) None \(0\) \(0\) \(0\) \(0\)


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