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Results (45 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 13
9464.2.a.a 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(-2\) \(1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}-q^{7}+q^{9}-4q^{11}-2q^{15}+\cdots\)
9464.2.a.b 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}-2q^{9}-3q^{11}+4q^{17}+\cdots\)
9464.2.a.c 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-3q^{9}+4q^{11}-6q^{17}+\cdots\)
9464.2.a.d 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}-2q^{11}+7q^{19}+\cdots\)
9464.2.a.e 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(2\) \(-3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-3q^{5}-q^{7}+q^{9}-6q^{15}+\cdots\)
9464.2.a.f 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(2\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-2q^{15}+\cdots\)
9464.2.a.g 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(2\) \(1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{7}+q^{9}+2q^{11}+2q^{15}+\cdots\)
9464.2.a.h 9464.a 1.a $1$ $75.570$ \(\Q\) None \(0\) \(2\) \(4\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+4q^{5}-q^{7}+q^{9}+8q^{15}+\cdots\)
9464.2.a.i 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-4\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2+2\beta )q^{11}+\cdots\)
9464.2.a.j 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-4\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-\beta q^{5}+q^{7}+q^{9}+(2-2\beta )q^{11}+\cdots\)
9464.2.a.k 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{2}) \) None \(0\) \(-4\) \(2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{3}+(1-\beta )q^{5}-q^{7}+(3+\cdots)q^{9}+\cdots\)
9464.2.a.l 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-4\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+(-2-\beta )q^{5}-q^{7}+\cdots\)
9464.2.a.m 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}-\beta q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
9464.2.a.n 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+\beta q^{5}+q^{7}+(1-2\beta )q^{9}+\cdots\)
9464.2.a.o 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+\beta q^{5}+q^{7}+(1-2\beta )q^{9}+\cdots\)
9464.2.a.p 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(4\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(1+\cdots)q^{9}+\cdots\)
9464.2.a.q 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-5\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-2-\beta )q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots\)
9464.2.a.r 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
9464.2.a.s 9464.a 1.a $2$ $75.570$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(5\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(2+\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
9464.2.a.t 9464.a 1.a $3$ $75.570$ \(\Q(\zeta_{14})^+\) None \(0\) \(0\) \(-4\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{2})q^{3}+(-1+\beta _{2})q^{5}+q^{7}+\cdots\)
9464.2.a.u 9464.a 1.a $3$ $75.570$ \(\Q(\zeta_{14})^+\) None \(0\) \(0\) \(4\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{2})q^{3}+(1-\beta _{2})q^{5}-q^{7}+\cdots\)
9464.2.a.v 9464.a 1.a $4$ $75.570$ 4.4.27004.1 None \(0\) \(-3\) \(-5\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{3})q^{5}+q^{7}+\cdots\)
9464.2.a.w 9464.a 1.a $4$ $75.570$ 4.4.27004.1 None \(0\) \(-3\) \(5\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(1-\beta _{3})q^{5}-q^{7}+\cdots\)
9464.2.a.x 9464.a 1.a $4$ $75.570$ 4.4.122260.1 None \(0\) \(-1\) \(-5\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(-1-\beta _{1})q^{5}-q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
9464.2.a.y 9464.a 1.a $4$ $75.570$ 4.4.122260.1 None \(0\) \(-1\) \(5\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1+\beta _{1})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
9464.2.a.z 9464.a 1.a $4$ $75.570$ 4.4.64268.1 None \(0\) \(1\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+q^{7}+(3+\beta _{1}+\cdots)q^{9}+\cdots\)
9464.2.a.ba 9464.a 1.a $4$ $75.570$ 4.4.183064.1 None \(0\) \(1\) \(0\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)
9464.2.a.bb 9464.a 1.a $4$ $75.570$ 4.4.21801.1 None \(0\) \(3\) \(-5\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1-\beta _{1})q^{5}+q^{7}+\cdots\)
9464.2.a.bc 9464.a 1.a $4$ $75.570$ 4.4.21801.1 None \(0\) \(3\) \(5\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{5}-q^{7}+(2+\cdots)q^{9}+\cdots\)
9464.2.a.bd 9464.a 1.a $6$ $75.570$ 6.6.415174304.1 None \(0\) \(1\) \(-1\) \(-6\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{4}-\beta _{5})q^{5}-q^{7}+\cdots\)
9464.2.a.be 9464.a 1.a $6$ $75.570$ 6.6.415174304.1 None \(0\) \(1\) \(1\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{4}+\beta _{5})q^{5}+q^{7}+\cdots\)
9464.2.a.bf 9464.a 1.a $6$ $75.570$ 6.6.7674048.1 None \(0\) \(2\) \(-4\) \(-6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1-\beta _{5})q^{5}-q^{7}+(-1+\cdots)q^{9}+\cdots\)
9464.2.a.bg 9464.a 1.a $6$ $75.570$ 6.6.7674048.1 None \(0\) \(2\) \(4\) \(6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1+\beta _{5})q^{5}+q^{7}+(-1+\beta _{1}+\cdots)q^{9}+\cdots\)
9464.2.a.bh 9464.a 1.a $7$ $75.570$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(1\) \(-2\) \(7\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
9464.2.a.bi 9464.a 1.a $7$ $75.570$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(1\) \(2\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{2}q^{5}-q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
9464.2.a.bj 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-2\) \(-4\) \(12\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{7}q^{5}+q^{7}+(\beta _{5}+\beta _{6})q^{9}+\cdots\)
9464.2.a.bk 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-2\) \(4\) \(-12\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{7}q^{5}-q^{7}+(\beta _{5}+\beta _{6})q^{9}+\cdots\)
9464.2.a.bl 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(2\) \(-8\) \(-12\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1-\beta _{6})q^{5}-q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
9464.2.a.bm 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(2\) \(8\) \(12\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1+\beta _{6})q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
9464.2.a.bn 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(3\) \(-8\) \(-12\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}-q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
9464.2.a.bo 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(3\) \(8\) \(12\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1-\beta _{2})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
9464.2.a.bp 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(4\) \(-4\) \(12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{3}q^{5}+q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
9464.2.a.bq 9464.a 1.a $12$ $75.570$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(4\) \(4\) \(-12\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
9464.2.a.br 9464.a 1.a $15$ $75.570$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-3\) \(-4\) \(-15\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
9464.2.a.bs 9464.a 1.a $15$ $75.570$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-3\) \(4\) \(15\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{6}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots\)
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