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Results (14 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 7 11
2695.2.a.b 2695.a 1.a $1$ $21.520$ \(\Q\) None \(-1\) \(2\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}-q^{4}-q^{5}-2q^{6}+3q^{8}+\cdots\)
2695.2.a.c 2695.a 1.a $1$ $21.520$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-3q^{8}-3q^{9}-q^{10}+\cdots\)
2695.2.a.e 2695.a 1.a $2$ $21.520$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}-\beta q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots\)
2695.2.a.f 2695.a 1.a $2$ $21.520$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+2\beta q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots\)
2695.2.a.h 2695.a 1.a $3$ $21.520$ 3.3.148.1 None \(-3\) \(4\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
2695.2.a.l 2695.a 1.a $4$ $21.520$ 4.4.11348.1 None \(2\) \(-2\) \(-4\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(-1-\beta _{3})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots\)
2695.2.a.m 2695.a 1.a $5$ $21.520$ 5.5.303952.1 None \(-1\) \(0\) \(-5\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots\)
2695.2.a.p 2695.a 1.a $5$ $21.520$ 5.5.394064.1 None \(1\) \(4\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2695.2.a.s 2695.a 1.a $8$ $21.520$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(-1\) \(-8\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2695.2.a.t 2695.a 1.a $8$ $21.520$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(1\) \(8\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2695.2.a.v 2695.a 1.a $10$ $21.520$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-2\) \(8\) \(-10\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{9})q^{3}+(1+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
2695.2.a.x 2695.a 1.a $10$ $21.520$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(2\) \(0\) \(10\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2695.2.a.y 2695.a 1.a $10$ $21.520$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(3\) \(-3\) \(-10\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(2+\beta _{2})q^{4}-q^{5}+\cdots\)
2695.2.a.z 2695.a 1.a $10$ $21.520$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(3\) \(3\) \(10\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(2+\beta _{2})q^{4}+q^{5}+\cdots\)
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