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Results (8 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 7
3584.2.a.c 3584.a 1.a $4$ $28.618$ \(\Q(\zeta_{16})^+\) None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{3}q^{5}-q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
3584.2.a.i 3584.a 1.a $6$ $28.618$ 6.6.12836864.1 None \(0\) \(0\) \(4\) \(-6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1+\beta _{5})q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
3584.2.a.j 3584.a 1.a $6$ $28.618$ 6.6.12836864.1 None \(0\) \(0\) \(4\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1+\beta _{5})q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
3584.2.a.k 3584.a 1.a $6$ $28.618$ 6.6.18857984.1 None \(0\) \(4\) \(0\) \(-6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}-\beta _{1}q^{5}-q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
3584.2.a.l 3584.a 1.a $6$ $28.618$ 6.6.18857984.1 None \(0\) \(4\) \(0\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+\beta _{1}q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
3584.2.a.n 3584.a 1.a $8$ $28.618$ 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(8\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{7}q^{3}+(\beta _{3}+\beta _{7})q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
3584.2.a.o 3584.a 1.a $10$ $28.618$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(-10\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{3}-\beta _{3}q^{5}-q^{7}+(2+\beta _{6})q^{9}+\cdots\)
3584.2.a.p 3584.a 1.a $10$ $28.618$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(10\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{3}+\beta _{3}q^{5}+q^{7}+(2+\beta _{6})q^{9}+\cdots\)
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