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

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Results (11 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 41
1722.2.a.a 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.a \(-1\) \(-1\) \(-3\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
1722.2.a.d 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.d \(-1\) \(-1\) \(3\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
1722.2.a.f 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.f \(-1\) \(1\) \(1\) \(1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
1722.2.a.h 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.h \(1\) \(-1\) \(-4\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
1722.2.a.i 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.i \(1\) \(-1\) \(-2\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
1722.2.a.j 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.j \(1\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
1722.2.a.k 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.k \(1\) \(-1\) \(1\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
1722.2.a.n 1722.a 1.a $1$ $13.750$ \(\Q\) None 1722.2.a.n \(1\) \(1\) \(-3\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
1722.2.a.r 1722.a 1.a $2$ $13.750$ \(\Q(\sqrt{7}) \) None 1722.2.a.r \(-2\) \(-2\) \(-2\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}+q^{6}+\cdots\)
1722.2.a.s 1722.a 1.a $2$ $13.750$ \(\Q(\sqrt{17}) \) None 1722.2.a.s \(-2\) \(2\) \(-2\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
1722.2.a.w 1722.a 1.a $3$ $13.750$ 3.3.940.1 None 1722.2.a.w \(-3\) \(-3\) \(-3\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(-1-\beta _{1})q^{5}+q^{6}+\cdots\)
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