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Results (12 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 19
4864.2.a.g 4864.a 1.a $1$ $38.839$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-3q^{9}-4q^{11}-2q^{13}+2q^{17}+\cdots\)
4864.2.a.n 4864.a 1.a $1$ $38.839$ \(\Q\) None \(0\) \(1\) \(2\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}-q^{7}-2q^{9}+4q^{11}+\cdots\)
4864.2.a.o 4864.a 1.a $1$ $38.839$ \(\Q\) None \(0\) \(3\) \(-4\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-4q^{5}-q^{7}+6q^{9}-5q^{13}+\cdots\)
4864.2.a.p 4864.a 1.a $1$ $38.839$ \(\Q\) None \(0\) \(3\) \(4\) \(1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+4q^{5}+q^{7}+6q^{9}+5q^{13}+\cdots\)
4864.2.a.r 4864.a 1.a $2$ $38.839$ \(\Q(\sqrt{11}) \) None \(0\) \(-4\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+\beta q^{5}-\beta q^{7}+q^{9}+5q^{11}+\cdots\)
4864.2.a.v 4864.a 1.a $2$ $38.839$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-4\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+(-1+\beta )q^{7}-2q^{9}+\cdots\)
4864.2.a.bb 4864.a 1.a $3$ $38.839$ 3.3.316.1 None \(0\) \(-2\) \(4\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{1})q^{5}+\cdots\)
4864.2.a.bd 4864.a 1.a $3$ $38.839$ 3.3.892.1 None \(0\) \(-1\) \(2\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1-\beta _{1})q^{5}+(1+\beta _{2})q^{7}+\cdots\)
4864.2.a.bi 4864.a 1.a $4$ $38.839$ \(\Q(\sqrt{3}, \sqrt{11})\) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(-2\beta _{1}+\cdots)q^{7}+\cdots\)
4864.2.a.bj 4864.a 1.a $4$ $38.839$ \(\Q(\sqrt{3}, \sqrt{19})\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}-\beta _{2}q^{7}-3q^{9}+(-2-\beta _{3})q^{11}+\cdots\)
4864.2.a.bq 4864.a 1.a $8$ $38.839$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(8\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{3}+(1-\beta _{2})q^{5}+\beta _{4}q^{7}+(1-\beta _{7})q^{9}+\cdots\)
4864.2.a.bt 4864.a 1.a $10$ $38.839$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(4\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{3}-\beta _{1}q^{5}+(-\beta _{1}+\beta _{6})q^{7}+\cdots\)
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