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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 3 5 17
1530.2.a.a 1530.a 1.a $1$ $12.217$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
1530.2.a.b 1530.a 1.a $1$ $12.217$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
1530.2.a.g 1530.a 1.a $1$ $12.217$ \(\Q\) None \(-1\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1530.2.a.h 1530.a 1.a $1$ $12.217$ \(\Q\) None \(-1\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1530.2.a.k 1530.a 1.a $1$ $12.217$ \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.l 1530.a 1.a $1$ $12.217$ \(\Q\) None \(1\) \(0\) \(-1\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.n 1530.a 1.a $1$ $12.217$ \(\Q\) None \(1\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.o 1530.a 1.a $1$ $12.217$ \(\Q\) None \(1\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.p 1530.a 1.a $1$ $12.217$ \(\Q\) None \(1\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.r 1530.a 1.a $2$ $12.217$ \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(-2\) \(2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+2\beta q^{7}-q^{8}+q^{10}+\cdots\)
1530.2.a.s 1530.a 1.a $2$ $12.217$ \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+\beta q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.t 1530.a 1.a $2$ $12.217$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(2\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
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