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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 Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 19
1805.2.a.a 1805.a 1.a $1$ $14.413$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{4}-q^{5}-4q^{7}+q^{9}+3q^{11}+\cdots\)
1805.2.a.d 1805.a 1.a $2$ $14.413$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+3q^{4}-q^{5}-2q^{7}-\beta q^{8}+\cdots\)
1805.2.a.f 1805.a 1.a $3$ $14.413$ 3.3.148.1 None \(-1\) \(-2\) \(3\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.h 1805.a 1.a $3$ $14.413$ 3.3.361.1 None \(1\) \(1\) \(-3\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.i 1805.a 1.a $4$ $14.413$ 4.4.7537.1 None \(-1\) \(-3\) \(4\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots\)
1805.2.a.j 1805.a 1.a $4$ $14.413$ 4.4.2225.1 None \(-1\) \(-1\) \(4\) \(-11\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{1}+\beta _{3})q^{4}+\cdots\)
1805.2.a.k 1805.a 1.a $4$ $14.413$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(-4\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}-\beta _{3})q^{3}-2q^{4}-q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
1805.2.a.l 1805.a 1.a $4$ $14.413$ \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(-4\) \(-8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
1805.2.a.n 1805.a 1.a $4$ $14.413$ 4.4.2225.1 None \(1\) \(1\) \(4\) \(-11\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.s 1805.a 1.a $9$ $14.413$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-6\) \(-9\) \(9\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1+\beta _{7})q^{3}+(\beta _{4}+\cdots)q^{4}+\cdots\)
1805.2.a.t 1805.a 1.a $9$ $14.413$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-3\) \(-9\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
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