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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 3 167
4008.2.a.a \(1\) \(32.004\) \(\Q\) None \(0\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(+\) \(q-q^{3}+q^{5}-3q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4008.2.a.b \(1\) \(32.004\) \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) \(+\) \(-\) \(-\) \(q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
4008.2.a.c \(1\) \(32.004\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{9}+2q^{17}-8q^{19}-4q^{23}+\cdots\)
4008.2.a.d \(1\) \(32.004\) \(\Q\) None \(0\) \(1\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+q^{3}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4008.2.a.e \(3\) \(32.004\) 3.3.148.1 None \(0\) \(-3\) \(6\) \(-4\) \(-\) \(+\) \(-\) \(q-q^{3}+(2-\beta _{2})q^{5}+(-2+2\beta _{1})q^{7}+\cdots\)
4008.2.a.f \(5\) \(32.004\) 5.5.284897.1 None \(0\) \(5\) \(1\) \(-4\) \(+\) \(-\) \(-\) \(q+q^{3}+(-\beta _{3}+\beta _{4})q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
4008.2.a.g \(7\) \(32.004\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-7\) \(-3\) \(8\) \(-\) \(+\) \(+\) \(q-q^{3}-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
4008.2.a.h \(8\) \(32.004\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-8\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q-q^{3}+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(\beta _{2}+\beta _{4}+\cdots)q^{11}+\cdots\)
4008.2.a.i \(9\) \(32.004\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(-6\) \(-11\) \(-\) \(-\) \(+\) \(q+q^{3}+(-1+\beta _{1})q^{5}+(-2+\beta _{5}+\beta _{7}+\cdots)q^{7}+\cdots\)
4008.2.a.j \(10\) \(32.004\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-10\) \(-10\) \(1\) \(+\) \(+\) \(+\) \(q-q^{3}+(-1-\beta _{1})q^{5}+(\beta _{2}+\beta _{4}+\beta _{7}+\cdots)q^{7}+\cdots\)
4008.2.a.k \(11\) \(32.004\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(0\) \(-11\) \(10\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{3}+(1-\beta _{1})q^{5}+\beta _{3}q^{7}+q^{9}-\beta _{10}q^{11}+\cdots\)
4008.2.a.l \(12\) \(32.004\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(12\) \(4\) \(11\) \(-\) \(-\) \(-\) \(q+q^{3}+\beta _{1}q^{5}+(1-\beta _{9})q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
4008.2.a.m \(13\) \(32.004\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(0\) \(13\) \(2\) \(1\) \(+\) \(-\) \(+\) \(q+q^{3}+\beta _{1}q^{5}-\beta _{9}q^{7}+q^{9}+(1+\beta _{5}+\cdots)q^{11}+\cdots\)


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