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Results (16 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4004.2.a.a 4004.a 1.a $1$ $31.972$ \(\Q\) None \(0\) \(-2\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{7}+q^{9}-q^{11}+q^{13}+6q^{17}+\cdots\)
4004.2.a.b 4004.a 1.a $1$ $31.972$ \(\Q\) None \(0\) \(-1\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
4004.2.a.c 4004.a 1.a $1$ $31.972$ \(\Q\) None \(0\) \(2\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+4q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
4004.2.a.d 4004.a 1.a $4$ $31.972$ 4.4.3981.1 None \(0\) \(-3\) \(-1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{3})q^{3}+(\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots\)
4004.2.a.e 4004.a 1.a $4$ $31.972$ \(\Q(\zeta_{15})^+\) None \(0\) \(1\) \(1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{2}-\beta _{3})q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
4004.2.a.f 4004.a 1.a $5$ $31.972$ 5.5.463341.1 None \(0\) \(3\) \(0\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
4004.2.a.g 4004.a 1.a $6$ $31.972$ 6.6.246302029.1 None \(0\) \(-2\) \(-3\) \(6\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4004.2.a.h 4004.a 1.a $9$ $31.972$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(0\) \(9\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
4004.2.a.i 4004.a 1.a $9$ $31.972$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(4\) \(4\) \(9\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{7}q^{5}+q^{7}+(1+\beta _{3}+\beta _{4}+\cdots)q^{9}+\cdots\)
4004.2.a.j 4004.a 1.a $10$ $31.972$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(-2\) \(-10\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
4004.2.a.k 4004.a 1.a $10$ $31.972$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(1\) \(4\) \(-10\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{4}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)
4004.2.e.a 4004.e 77.b $48$ $31.972$ None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$
4004.2.e.b 4004.e 77.b $48$ $31.972$ None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$
4004.2.m.a 4004.m 13.b $2$ $31.972$ \(\Q(\sqrt{-1}) \) None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2q^{3}+iq^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
4004.2.m.b 4004.m 13.b $30$ $31.972$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4004.2.m.c 4004.m 13.b $36$ $31.972$ None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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