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Results (5 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 23
207.6.a.a 207.a 1.a $2$ $33.199$ \(\Q(\sqrt{29}) \) None \(0\) \(0\) \(-94\) \(-118\) $-$ $+$ $\mathrm{SU}(2)$ \(q-2\beta q^{2}+84q^{4}+(-47-\beta )q^{5}+(-59+\cdots)q^{7}+\cdots\)
207.6.a.c 207.a 1.a $3$ $33.199$ 3.3.5333.1 None \(8\) \(0\) \(56\) \(-114\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(3-\beta _{2})q^{2}+(9-4\beta _{1}-9\beta _{2})q^{4}+\cdots\)
207.6.a.d 207.a 1.a $4$ $33.199$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-4\) \(0\) \(122\) \(62\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{2}+(-12+4\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
207.6.a.g 207.a 1.a $6$ $33.199$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-4\) \(0\) \(-42\) \(300\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(20-2\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
207.6.a.i 207.a 1.a $10$ $33.199$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(8\) \(0\) \(100\) \(20\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(19-\beta _{1}+\beta _{2})q^{4}+(9+\cdots)q^{5}+\cdots\)
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