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Results (24 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 7 11 29
6699.2.a.a 6699.a 1.a $1$ $53.492$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(-1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}-q^{7}+\cdots\)
6699.2.a.b 6699.a 1.a $1$ $53.492$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
6699.2.a.c 6699.a 1.a $1$ $53.492$ \(\Q\) None \(1\) \(-1\) \(2\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
6699.2.a.d 6699.a 1.a $1$ $53.492$ \(\Q\) None \(1\) \(-1\) \(2\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
6699.2.a.e 6699.a 1.a $1$ $53.492$ \(\Q\) None \(1\) \(-1\) \(3\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+3q^{5}-q^{6}+q^{7}+\cdots\)
6699.2.a.f 6699.a 1.a $1$ $53.492$ \(\Q\) None \(1\) \(1\) \(-2\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-q^{7}+\cdots\)
6699.2.a.g 6699.a 1.a $2$ $53.492$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(3\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
6699.2.a.h 6699.a 1.a $2$ $53.492$ \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(-3\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+(-2+\beta )q^{5}-q^{6}+\cdots\)
6699.2.a.i 6699.a 1.a $10$ $53.492$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-10\) \(1\) \(-10\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{7}q^{2}-q^{3}+(1+\beta _{8})q^{4}+(\beta _{1}+\beta _{6}+\cdots)q^{5}+\cdots\)
6699.2.a.j 6699.a 1.a $11$ $53.492$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-3\) \(-11\) \(-5\) \(-11\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(3-\beta _{1}+\beta _{2}-\beta _{4}+\cdots)q^{4}+\cdots\)
6699.2.a.k 6699.a 1.a $11$ $53.492$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-1\) \(11\) \(-12\) \(11\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-1-\beta _{5}+\cdots)q^{5}+\cdots\)
6699.2.a.l 6699.a 1.a $12$ $53.492$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(12\) \(-4\) \(12\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+\beta _{10}q^{5}-\beta _{1}q^{6}+\cdots\)
6699.2.a.m 6699.a 1.a $15$ $53.492$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-2\) \(15\) \(-10\) \(-15\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{5}+\cdots)q^{5}+\cdots\)
6699.2.a.n 6699.a 1.a $15$ $53.492$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-2\) \(15\) \(-3\) \(-15\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+\cdots\)
6699.2.a.o 6699.a 1.a $16$ $53.492$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(3\) \(-16\) \(14\) \(16\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{6}+\cdots)q^{5}+\cdots\)
6699.2.a.p 6699.a 1.a $17$ $53.492$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(0\) \(-17\) \(-8\) \(17\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}+\cdots\)
6699.2.a.q 6699.a 1.a $17$ $53.492$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(0\) \(17\) \(-2\) \(-17\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
6699.2.a.r 6699.a 1.a $18$ $53.492$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-3\) \(-18\) \(-13\) \(18\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
6699.2.a.s 6699.a 1.a $18$ $53.492$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(3\) \(-18\) \(8\) \(18\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
6699.2.a.t 6699.a 1.a $20$ $53.492$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(1\) \(20\) \(10\) \(-20\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{9}+\cdots)q^{5}+\cdots\)
6699.2.a.u 6699.a 1.a $21$ $53.492$ None \(3\) \(-21\) \(6\) \(-21\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
6699.2.a.v 6699.a 1.a $22$ $53.492$ None \(2\) \(-22\) \(2\) \(-22\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
6699.2.a.w 6699.a 1.a $23$ $53.492$ None \(1\) \(23\) \(4\) \(23\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
6699.2.a.x 6699.a 1.a $25$ $53.492$ None \(1\) \(25\) \(14\) \(25\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
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