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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 17 79
4029.2.a.a 4029.a 1.a $1$ $32.172$ \(\Q\) None \(0\) \(1\) \(-3\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-3q^{5}+q^{7}+q^{9}-4q^{11}+\cdots\)
4029.2.a.b 4029.a 1.a $1$ $32.172$ \(\Q\) None \(0\) \(1\) \(1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}+q^{5}-2q^{7}+q^{9}+3q^{11}+\cdots\)
4029.2.a.c 4029.a 1.a $2$ $32.172$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{5}+\beta q^{6}+\cdots\)
4029.2.a.d 4029.a 1.a $3$ $32.172$ 3.3.148.1 None \(0\) \(-3\) \(-5\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
4029.2.a.e 4029.a 1.a $18$ $32.172$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-6\) \(18\) \(-5\) \(-13\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{14}q^{5}+\cdots\)
4029.2.a.f 4029.a 1.a $22$ $32.172$ None \(1\) \(-22\) \(1\) \(-15\) $+$ $-$ $-$ $\mathrm{SU}(2)$
4029.2.a.g 4029.a 1.a $22$ $32.172$ None \(2\) \(-22\) \(5\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$
4029.2.a.h 4029.a 1.a $25$ $32.172$ None \(-7\) \(25\) \(-12\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$
4029.2.a.i 4029.a 1.a $25$ $32.172$ None \(-2\) \(-25\) \(-2\) \(12\) $+$ $-$ $+$ $\mathrm{SU}(2)$
4029.2.a.j 4029.a 1.a $25$ $32.172$ None \(6\) \(25\) \(6\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$
4029.2.a.k 4029.a 1.a $31$ $32.172$ None \(4\) \(31\) \(11\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$
4029.2.a.l 4029.a 1.a $32$ $32.172$ None \(-1\) \(-32\) \(-1\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$
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