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Results (11 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 23
2645.2.a.a 2645.a 1.a $1$ $21.120$ \(\Q\) None \(0\) \(-2\) \(-1\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{4}-q^{5}+3q^{7}+q^{9}+6q^{11}+\cdots\)
2645.2.a.e 2645.a 1.a $2$ $21.120$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(-2\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(2-2\beta )q^{4}+\cdots\)
2645.2.a.g 2645.a 1.a $2$ $21.120$ \(\Q(\sqrt{13}) \) None \(-1\) \(2\) \(-2\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
2645.2.a.i 2645.a 1.a $4$ $21.120$ 4.4.65057.1 None \(-1\) \(-1\) \(-4\) \(7\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{2}q^{3}+(2+\beta _{2})q^{4}-q^{5}+\cdots\)
2645.2.a.k 2645.a 1.a $4$ $21.120$ 4.4.2777.1 None \(-1\) \(1\) \(-4\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
2645.2.a.m 2645.a 1.a $4$ $21.120$ 4.4.15317.1 None \(2\) \(-2\) \(-4\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
2645.2.a.p 2645.a 1.a $6$ $21.120$ 6.6.27387072.1 None \(0\) \(-6\) \(-6\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{5})q^{3}+(1+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
2645.2.a.s 2645.a 1.a $6$ $21.120$ 6.6.4829696.1 None \(2\) \(4\) \(6\) \(6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2}+\beta _{4}-\beta _{5})q^{3}+\cdots\)
2645.2.a.w 2645.a 1.a $16$ $21.120$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(4\) \(4\) \(16\) \(12\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2645.2.a.x 2645.a 1.a $25$ $21.120$ None \(3\) \(10\) \(-25\) \(-14\) $+$ $-$ $\mathrm{SU}(2)$
2645.2.a.y 2645.a 1.a $25$ $21.120$ None \(3\) \(10\) \(25\) \(14\) $-$ $+$ $\mathrm{SU}(2)$
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