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Results (6 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 7 13
182.6.a.a 182.a 1.a $1$ $29.190$ \(\Q\) None 182.6.a.a \(-4\) \(-12\) \(51\) \(49\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-12q^{3}+2^{4}q^{4}+51q^{5}+48q^{6}+\cdots\)
182.6.a.b 182.a 1.a $1$ $29.190$ \(\Q\) None 182.6.a.b \(4\) \(-30\) \(29\) \(-49\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}-30q^{3}+2^{4}q^{4}+29q^{5}-120q^{6}+\cdots\)
182.6.a.c 182.a 1.a $2$ $29.190$ \(\Q(\sqrt{211}) \) None 182.6.a.c \(-8\) \(-2\) \(-132\) \(98\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}+(-1+\beta )q^{3}+2^{4}q^{4}+(-66+\cdots)q^{5}+\cdots\)
182.6.a.d 182.a 1.a $2$ $29.190$ \(\Q(\sqrt{14}) \) None 182.6.a.d \(8\) \(8\) \(-54\) \(-98\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}+(4+3\beta )q^{3}+2^{4}q^{4}+(-3^{3}+\cdots)q^{5}+\cdots\)
182.6.a.e 182.a 1.a $3$ $29.190$ \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None 182.6.a.e \(-12\) \(-14\) \(-27\) \(-147\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-4q^{2}+(-5+\beta _{1})q^{3}+2^{4}q^{4}+(-9+\cdots)q^{5}+\cdots\)
182.6.a.f 182.a 1.a $3$ $29.190$ 3.3.912300.1 None 182.6.a.f \(12\) \(-22\) \(-83\) \(147\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{2}+(-7-\beta _{1})q^{3}+2^{4}q^{4}+(-28+\cdots)q^{5}+\cdots\)
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