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Results (9 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 83
2075.2.a.a 2075.a 1.a $1$ $16.569$ \(\Q\) None \(-1\) \(-3\) \(0\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}-q^{4}+3q^{6}-q^{7}+3q^{8}+\cdots\)
2075.2.a.b 2075.a 1.a $1$ $16.569$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{7}+3q^{8}-3q^{9}+3q^{11}+\cdots\)
2075.2.a.c 2075.a 1.a $1$ $16.569$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}+3q^{11}+\cdots\)
2075.2.a.d 2075.a 1.a $1$ $16.569$ \(\Q\) None \(1\) \(1\) \(0\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{6}+3q^{7}-3q^{8}+\cdots\)
2075.2.a.h 2075.a 1.a $7$ $16.569$ 7.7.179711353.1 None \(3\) \(5\) \(0\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{6}q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{5}+\beta _{6})q^{4}+\cdots\)
2075.2.a.k 2075.a 1.a $11$ $16.569$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(0\) \(0\) \(0\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{7}q^{3}+(2+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
2075.2.a.l 2075.a 1.a $19$ $16.569$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{9}q^{3}+(2+\beta _{2})q^{4}+\beta _{7}q^{6}+\cdots\)
2075.2.a.m 2075.a 1.a $19$ $16.569$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(2+\beta _{2})q^{4}+\beta _{7}q^{6}+\cdots\)
2075.2.a.o 2075.a 1.a $20$ $16.569$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(5\) \(6\) \(0\) \(14\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{15}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
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