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Results (13 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 7
350.10.a.a 350.a 1.a $1$ $180.263$ \(\Q\) None \(-16\) \(-170\) \(0\) \(2401\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}-170q^{3}+2^{8}q^{4}+2720q^{6}+\cdots\)
350.10.a.b 350.a 1.a $1$ $180.263$ \(\Q\) None \(16\) \(-120\) \(0\) \(-2401\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}-120q^{3}+2^{8}q^{4}-1920q^{6}+\cdots\)
350.10.a.d 350.a 1.a $1$ $180.263$ \(\Q\) None \(16\) \(87\) \(0\) \(-2401\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+87q^{3}+2^{8}q^{4}+1392q^{6}+\cdots\)
350.10.a.e 350.a 1.a $2$ $180.263$ \(\Q(\sqrt{457}) \) None \(-32\) \(41\) \(0\) \(4802\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(20-\beta )q^{3}+2^{8}q^{4}+(-320+\cdots)q^{6}+\cdots\)
350.10.a.i 350.a 1.a $2$ $180.263$ \(\Q(\sqrt{541}) \) None \(32\) \(-58\) \(0\) \(-4802\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(-29-\beta )q^{3}+2^{8}q^{4}+(-464+\cdots)q^{6}+\cdots\)
350.10.a.j 350.a 1.a $2$ $180.263$ \(\Q(\sqrt{2305}) \) None \(32\) \(14\) \(0\) \(-4802\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(7+\beta )q^{3}+2^{8}q^{4}+(112+\cdots)q^{6}+\cdots\)
350.10.a.l 350.a 1.a $3$ $180.263$ 3.3.2997373.1 None \(-48\) \(66\) \(0\) \(7203\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(22+\beta _{2})q^{3}+2^{8}q^{4}+(-352+\cdots)q^{6}+\cdots\)
350.10.a.n 350.a 1.a $4$ $180.263$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-64\) \(-7\) \(0\) \(-9604\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(-2+\beta _{1})q^{3}+2^{8}q^{4}+(2^{5}+\cdots)q^{6}+\cdots\)
350.10.a.p 350.a 1.a $4$ $180.263$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(64\) \(161\) \(0\) \(-9604\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(40+\beta _{1})q^{3}+2^{8}q^{4}+(640+\cdots)q^{6}+\cdots\)
350.10.a.r 350.a 1.a $5$ $180.263$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-80\) \(74\) \(0\) \(12005\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(15-\beta _{1})q^{3}+2^{8}q^{4}+(-240+\cdots)q^{6}+\cdots\)
350.10.a.t 350.a 1.a $5$ $180.263$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(80\) \(96\) \(0\) \(12005\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(19+\beta _{1})q^{3}+2^{8}q^{4}+(304+\cdots)q^{6}+\cdots\)
350.10.a.w 350.a 1.a $8$ $180.263$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-128\) \(-77\) \(0\) \(-19208\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(-10+\beta _{1})q^{3}+2^{8}q^{4}+\cdots\)
350.10.a.x 350.a 1.a $8$ $180.263$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(128\) \(77\) \(0\) \(19208\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(10-\beta _{1})q^{3}+2^{8}q^{4}+(160+\cdots)q^{6}+\cdots\)
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