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Results (20 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
4235.2.a.a 4235.a 1.a $1$ $33.817$ \(\Q\) None \(-1\) \(-2\) \(-1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}-q^{4}-q^{5}+2q^{6}+q^{7}+\cdots\)
4235.2.a.c 4235.a 1.a $1$ $33.817$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}-q^{7}-2q^{9}-2q^{12}+\cdots\)
4235.2.a.f 4235.a 1.a $1$ $33.817$ \(\Q\) None \(1\) \(0\) \(1\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}-3q^{9}+\cdots\)
4235.2.a.g 4235.a 1.a $1$ $33.817$ \(\Q\) None \(1\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}+q^{7}-3q^{8}-3q^{9}+\cdots\)
4235.2.a.l 4235.a 1.a $2$ $33.817$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1-\beta )q^{3}+q^{4}-q^{5}+(-3+\cdots)q^{6}+\cdots\)
4235.2.a.m 4235.a 1.a $2$ $33.817$ \(\Q(\sqrt{17}) \) None \(1\) \(-1\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{3}+(2+\beta )q^{4}+q^{5}+\cdots\)
4235.2.a.p 4235.a 1.a $3$ $33.817$ 3.3.148.1 None \(3\) \(-4\) \(-3\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(-1-\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
4235.2.a.r 4235.a 1.a $4$ $33.817$ 4.4.11348.1 None \(-2\) \(2\) \(4\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1+\beta _{3})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots\)
4235.2.a.v 4235.a 1.a $4$ $33.817$ 4.4.15952.1 None \(0\) \(-2\) \(4\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
4235.2.a.x 4235.a 1.a $4$ $33.817$ 4.4.6224.1 None \(2\) \(4\) \(-4\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{2}+(1+\beta _{2})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
4235.2.a.ba 4235.a 1.a $5$ $33.817$ 5.5.580017.1 None \(0\) \(-2\) \(-5\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{3}-\beta _{4})q^{4}-q^{5}+\cdots\)
4235.2.a.bd 4235.a 1.a $5$ $33.817$ 5.5.288385.1 None \(0\) \(2\) \(5\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4235.2.a.be 4235.a 1.a $5$ $33.817$ 5.5.173513.1 None \(2\) \(-2\) \(-5\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{2}+\beta _{2}q^{3}+(2-\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots\)
4235.2.a.bf 4235.a 1.a $5$ $33.817$ 5.5.270017.1 None \(2\) \(2\) \(5\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{4})q^{4}+q^{5}+\cdots\)
4235.2.a.bk 4235.a 1.a $10$ $33.817$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(2\) \(-4\) \(10\) \(-10\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
4235.2.a.bl 4235.a 1.a $10$ $33.817$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(2\) \(4\) \(-10\) \(10\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
4235.2.a.bm 4235.a 1.a $14$ $33.817$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-1\) \(5\) \(-14\) \(14\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{10}q^{3}+(2+\beta _{2})q^{4}-q^{5}+\cdots\)
4235.2.a.bn 4235.a 1.a $14$ $33.817$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(1\) \(5\) \(-14\) \(-14\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{10}q^{3}+(2+\beta _{2})q^{4}-q^{5}+\cdots\)
4235.2.a.bo 4235.a 1.a $18$ $33.817$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-2\) \(5\) \(18\) \(-18\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
4235.2.a.bp 4235.a 1.a $18$ $33.817$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(2\) \(5\) \(18\) \(18\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
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