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Results (29 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 29
2842.2.a.a 2842.a 1.a $1$ $22.693$ \(\Q\) None \(-1\) \(-2\) \(-2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}-2q^{5}+2q^{6}-q^{8}+\cdots\)
2842.2.a.b 2842.a 1.a $1$ $22.693$ \(\Q\) None \(-1\) \(-1\) \(3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\cdots\)
2842.2.a.c 2842.a 1.a $1$ $22.693$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-3q^{9}-4q^{11}+q^{16}+\cdots\)
2842.2.a.d 2842.a 1.a $1$ $22.693$ \(\Q\) None \(-1\) \(3\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}+3q^{5}-3q^{6}-q^{8}+\cdots\)
2842.2.a.e 2842.a 1.a $1$ $22.693$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
2842.2.a.f 2842.a 1.a $1$ $22.693$ \(\Q\) None \(1\) \(1\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{8}+\cdots\)
2842.2.a.g 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-\beta q^{5}-q^{8}-3q^{9}+\beta q^{10}+\cdots\)
2842.2.a.h 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+2\beta q^{3}+q^{4}-2\beta q^{6}-q^{8}+\cdots\)
2842.2.a.i 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{3}) \) None \(2\) \(-4\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}+(-1-\beta )q^{5}-2q^{6}+\cdots\)
2842.2.a.j 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}-3q^{9}+\beta q^{10}+\cdots\)
2842.2.a.k 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
2842.2.a.l 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+2\beta q^{5}+\beta q^{6}+\cdots\)
2842.2.a.m 2842.a 1.a $2$ $22.693$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+2\beta q^{3}+q^{4}-2\beta q^{5}+2\beta q^{6}+\cdots\)
2842.2.a.n 2842.a 1.a $3$ $22.693$ 3.3.568.1 None \(-3\) \(-1\) \(-5\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{2}q^{3}+q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
2842.2.a.o 2842.a 1.a $4$ $22.693$ \(\Q(\sqrt{2}, \sqrt{13})\) None \(-4\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
2842.2.a.p 2842.a 1.a $4$ $22.693$ 4.4.9248.1 None \(-4\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{3}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{3}q^{6}+\cdots\)
2842.2.a.q 2842.a 1.a $4$ $22.693$ \(\Q(\zeta_{24})^+\) None \(-4\) \(0\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(2\beta _{1}+\beta _{3})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots\)
2842.2.a.r 2842.a 1.a $4$ $22.693$ 4.4.11348.1 None \(4\) \(-1\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
2842.2.a.s 2842.a 1.a $5$ $22.693$ 5.5.369849.1 None \(-5\) \(-3\) \(-5\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
2842.2.a.t 2842.a 1.a $5$ $22.693$ 5.5.974241.1 None \(-5\) \(-3\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{4})q^{3}+q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
2842.2.a.u 2842.a 1.a $5$ $22.693$ 5.5.974241.1 None \(-5\) \(3\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
2842.2.a.v 2842.a 1.a $5$ $22.693$ 5.5.369849.1 None \(-5\) \(3\) \(5\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
2842.2.a.w 2842.a 1.a $5$ $22.693$ 5.5.345065.1 None \(5\) \(-3\) \(-7\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-2-\beta _{2}+\cdots)q^{5}+\cdots\)
2842.2.a.x 2842.a 1.a $5$ $22.693$ 5.5.1019601.1 None \(5\) \(-3\) \(-7\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
2842.2.a.y 2842.a 1.a $5$ $22.693$ 5.5.345065.1 None \(5\) \(3\) \(7\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(2+\beta _{2}+\beta _{4})q^{5}+\cdots\)
2842.2.a.z 2842.a 1.a $5$ $22.693$ 5.5.1019601.1 None \(5\) \(3\) \(7\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta _{3})q^{3}+q^{4}+(1+\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
2842.2.a.ba 2842.a 1.a $6$ $22.693$ 6.6.52756992.1 None \(-6\) \(0\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
2842.2.a.bb 2842.a 1.a $6$ $22.693$ 6.6.401917952.1 None \(6\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
2842.2.a.bc 2842.a 1.a $6$ $22.693$ 6.6.373409792.1 None \(6\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{2}q^{6}+\cdots\)
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