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Results (displaying all 7 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.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.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.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 \(0\) \(-10\) \(-10\) \(1\) \(+\) \(+\) \(+\) \(q-q^{3}+(-1-\beta _{1})q^{5}+(\beta _{2}+\beta _{4}+\beta _{7}+\cdots)q^{7}+\cdots\)


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