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Results (9 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 13
3380.2.a.a 3380.a 1.a $1$ $26.989$ \(\Q\) None \(0\) \(-3\) \(-1\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}-3q^{7}+6q^{9}-3q^{11}+\cdots\)
3380.2.a.d 3380.a 1.a $1$ $26.989$ \(\Q\) None \(0\) \(-1\) \(-1\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+5q^{7}-2q^{9}-5q^{11}+\cdots\)
3380.2.a.f 3380.a 1.a $1$ $26.989$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}-q^{15}+\cdots\)
3380.2.a.g 3380.a 1.a $1$ $26.989$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{11}-q^{15}+\cdots\)
3380.2.a.n 3380.a 1.a $3$ $26.989$ 3.3.756.1 None \(0\) \(0\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+\beta _{2}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
3380.2.a.o 3380.a 1.a $3$ $26.989$ 3.3.564.1 None \(0\) \(2\) \(-3\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}-q^{5}+(1+\beta _{1})q^{7}+(4+\cdots)q^{9}+\cdots\)
3380.2.a.q 3380.a 1.a $4$ $26.989$ 4.4.4752.1 None \(0\) \(2\) \(4\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+q^{5}+(2+\beta _{2}-\beta _{3})q^{7}+\cdots\)
3380.2.a.r 3380.a 1.a $9$ $26.989$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-1\) \(-9\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(-1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
3380.2.a.s 3380.a 1.a $9$ $26.989$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-1\) \(9\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(1-\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots\)
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