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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 11
1815.4.a.d 1815.a 1.a $1$ $107.088$ \(\Q\) None \(-1\) \(3\) \(5\) \(-9\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}-7q^{4}+5q^{5}-3q^{6}+\cdots\)
1815.4.a.e 1815.a 1.a $1$ $107.088$ \(\Q\) None \(-1\) \(3\) \(5\) \(24\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}-7q^{4}+5q^{5}-3q^{6}+\cdots\)
1815.4.a.h 1815.a 1.a $1$ $107.088$ \(\Q\) None \(1\) \(3\) \(5\) \(9\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}-7q^{4}+5q^{5}+3q^{6}+\cdots\)
1815.4.a.i 1815.a 1.a $2$ $107.088$ \(\Q(\sqrt{41}) \) None \(-1\) \(6\) \(10\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+3q^{3}+(2+\beta )q^{4}+5q^{5}-3\beta q^{6}+\cdots\)
1815.4.a.o 1815.a 1.a $2$ $107.088$ \(\Q(\sqrt{41}) \) None \(1\) \(6\) \(10\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+3q^{3}+(2+\beta )q^{4}+5q^{5}+3\beta q^{6}+\cdots\)
1815.4.a.t 1815.a 1.a $4$ $107.088$ 4.4.1540841.1 None \(-4\) \(12\) \(20\) \(-34\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3q^{3}+(7-\beta _{1}+\beta _{3})q^{4}+\cdots\)
1815.4.a.bh 1815.a 1.a $12$ $107.088$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-7\) \(36\) \(60\) \(-77\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
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