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Results (13 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 13
7605.2.a.d 7605.a 1.a $1$ $60.726$ \(\Q\) None \(-1\) \(0\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+2q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.i 7605.a 1.a $1$ $60.726$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}-3q^{7}-3q^{11}+4q^{16}+\cdots\)
7605.2.a.y 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}-q^{5}+(-1+\cdots)q^{7}+\cdots\)
7605.2.a.bc 7605.a 1.a $2$ $60.726$ \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-2\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+(-1-\beta )q^{7}+\cdots\)
7605.2.a.bn 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(-2\) \(0\) \(-3\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
7605.2.a.by 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(1\) \(0\) \(-3\) \(-5\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.bz 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(1\) \(0\) \(-3\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(1-\beta _{1})q^{7}+\cdots\)
7605.2.a.ca 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(1\) \(0\) \(-3\) \(12\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+4q^{7}+(1-2\beta _{1}+\cdots)q^{8}+\cdots\)
7605.2.a.cc 7605.a 1.a $3$ $60.726$ 3.3.564.1 None \(1\) \(0\) \(-3\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(-1-\beta _{2})q^{7}+\cdots\)
7605.2.a.ce 7605.a 1.a $3$ $60.726$ \(\Q(\zeta_{14})^+\) None \(3\) \(0\) \(-3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}-\beta _{2})q^{2}+(4-\beta _{1})q^{4}-q^{5}+\cdots\)
7605.2.a.cg 7605.a 1.a $4$ $60.726$ 4.4.7488.1 None \(-2\) \(0\) \(-4\) \(6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(1-\beta _{2})q^{4}-q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.ch 7605.a 1.a $4$ $60.726$ 4.4.13824.1 None \(0\) \(0\) \(-4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
7605.2.a.cj 7605.a 1.a $4$ $60.726$ 4.4.4752.1 None \(2\) \(0\) \(-4\) \(-10\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+(-3+\cdots)q^{7}+\cdots\)
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