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Results (20 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 3 19 53
6042.2.a.b 6042.a 1.a $1$ $48.246$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(-3\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\cdots\)
6042.2.a.c 6042.a 1.a $1$ $48.246$ \(\Q\) None \(-1\) \(-1\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots\)
6042.2.a.d 6042.a 1.a $1$ $48.246$ \(\Q\) None \(-1\) \(-1\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots\)
6042.2.a.e 6042.a 1.a $1$ $48.246$ \(\Q\) None \(-1\) \(1\) \(-3\) \(-3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots\)
6042.2.a.h 6042.a 1.a $1$ $48.246$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
6042.2.a.i 6042.a 1.a $1$ $48.246$ \(\Q\) None \(-1\) \(1\) \(3\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+2q^{7}+\cdots\)
6042.2.a.j 6042.a 1.a $1$ $48.246$ \(\Q\) None \(1\) \(-1\) \(2\) \(-4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-4q^{7}+\cdots\)
6042.2.a.l 6042.a 1.a $1$ $48.246$ \(\Q\) None \(1\) \(1\) \(2\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
6042.2.a.m 6042.a 1.a $1$ $48.246$ \(\Q\) None \(1\) \(1\) \(2\) \(4\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots\)
6042.2.a.n 6042.a 1.a $1$ $48.246$ \(\Q\) None \(1\) \(1\) \(3\) \(-1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
6042.2.a.q 6042.a 1.a $3$ $48.246$ 3.3.257.1 None \(-3\) \(-3\) \(-3\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(-1-\beta _{2})q^{5}+q^{6}+\cdots\)
6042.2.a.r 6042.a 1.a $3$ $48.246$ 3.3.788.1 None \(3\) \(-3\) \(2\) \(6\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(\beta _{1}+\beta _{2})q^{5}-q^{6}+\cdots\)
6042.2.a.t 6042.a 1.a $4$ $48.246$ 4.4.17609.1 None \(4\) \(-4\) \(6\) \(3\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(2-\beta _{3})q^{5}-q^{6}+\cdots\)
6042.2.a.u 6042.a 1.a $5$ $48.246$ 5.5.14377697.1 None \(5\) \(-5\) \(2\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{2}q^{7}+\cdots\)
6042.2.a.w 6042.a 1.a $6$ $48.246$ 6.6.326108912.1 None \(6\) \(-6\) \(-1\) \(1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+\beta _{3}q^{5}-q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
6042.2.a.z 6042.a 1.a $9$ $48.246$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-9\) \(-1\) \(4\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta _{6}q^{5}+q^{6}-\beta _{3}q^{7}+\cdots\)
6042.2.a.ba 6042.a 1.a $9$ $48.246$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(9\) \(2\) \(10\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta _{6}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots\)
6042.2.a.bf 6042.a 1.a $12$ $48.246$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(12\) \(-7\) \(5\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots\)
6042.2.a.bg 6042.a 1.a $12$ $48.246$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(12\) \(5\) \(6\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
6042.2.a.bh 6042.a 1.a $13$ $48.246$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(13\) \(3\) \(12\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
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