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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 5 7 13
9555.2.a.a 9555.a 1.a $1$ $76.297$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots\)
9555.2.a.b 9555.a 1.a $1$ $76.297$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots\)
9555.2.a.c 9555.a 1.a $1$ $76.297$ \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots\)
9555.2.a.d 9555.a 1.a $1$ $76.297$ \(\Q\) None \(-1\) \(1\) \(-1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+3q^{8}+\cdots\)
9555.2.a.e 9555.a 1.a $1$ $76.297$ \(\Q\) None \(-1\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+3q^{8}+\cdots\)
9555.2.a.f 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+q^{9}+2q^{12}-q^{13}+\cdots\)
9555.2.a.g 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+q^{9}+q^{11}+2q^{12}+\cdots\)
9555.2.a.h 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+q^{5}+q^{9}+2q^{12}+q^{13}+\cdots\)
9555.2.a.i 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+q^{5}+q^{9}+5q^{11}+2q^{12}+\cdots\)
9555.2.a.j 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}+q^{9}-2q^{12}-q^{13}+\cdots\)
9555.2.a.k 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}+q^{9}+5q^{11}-2q^{12}+\cdots\)
9555.2.a.l 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}+q^{5}+q^{9}-2q^{12}+q^{13}+\cdots\)
9555.2.a.m 9555.a 1.a $1$ $76.297$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}+q^{5}+q^{9}+q^{11}-2q^{12}+\cdots\)
9555.2.a.n 9555.a 1.a $1$ $76.297$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\cdots\)
9555.2.a.o 9555.a 1.a $1$ $76.297$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
9555.2.a.p 9555.a 1.a $1$ $76.297$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
9555.2.a.q 9555.a 1.a $1$ $76.297$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
9555.2.a.r 9555.a 1.a $1$ $76.297$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
9555.2.a.s 9555.a 1.a $1$ $76.297$ \(\Q\) None \(1\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots\)
9555.2.a.t 9555.a 1.a $1$ $76.297$ \(\Q\) None \(2\) \(-1\) \(-1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots\)
9555.2.a.u 9555.a 1.a $1$ $76.297$ \(\Q\) None \(2\) \(-1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots\)
9555.2.a.v 9555.a 1.a $1$ $76.297$ \(\Q\) None \(2\) \(1\) \(-1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots\)
9555.2.a.w 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{5}) \) None \(-3\) \(-2\) \(-2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}-q^{5}+\cdots\)
9555.2.a.x 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots\)
9555.2.a.y 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots\)
9555.2.a.z 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots\)
9555.2.a.ba 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots\)
9555.2.a.bb 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(-2\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots\)
9555.2.a.bc 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{13}) \) None \(-1\) \(-2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
9555.2.a.bd 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(-2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
9555.2.a.be 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
9555.2.a.bf 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+q^{4}+q^{5}-\beta q^{6}-\beta q^{8}+\cdots\)
9555.2.a.bg 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}-\beta q^{8}+\cdots\)
9555.2.a.bh 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{13}) \) None \(1\) \(-2\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+(1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
9555.2.a.bi 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
9555.2.a.bj 9555.a 1.a $2$ $76.297$ \(\Q(\sqrt{13}) \) None \(1\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
9555.2.a.bk 9555.a 1.a $3$ $76.297$ 3.3.229.1 None \(0\) \(-3\) \(-3\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
9555.2.a.bl 9555.a 1.a $3$ $76.297$ 3.3.837.1 None \(0\) \(-3\) \(-3\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
9555.2.a.bm 9555.a 1.a $3$ $76.297$ 3.3.621.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
9555.2.a.bn 9555.a 1.a $3$ $76.297$ 3.3.229.1 None \(0\) \(3\) \(-3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
9555.2.a.bo 9555.a 1.a $3$ $76.297$ 3.3.229.1 None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
9555.2.a.bp 9555.a 1.a $3$ $76.297$ 3.3.621.1 None \(0\) \(3\) \(-3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
9555.2.a.bq 9555.a 1.a $3$ $76.297$ 3.3.316.1 None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(3+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
9555.2.a.br 9555.a 1.a $4$ $76.297$ 4.4.2225.1 None \(-3\) \(-4\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
9555.2.a.bs 9555.a 1.a $4$ $76.297$ 4.4.8768.1 None \(-2\) \(-4\) \(-4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
9555.2.a.bt 9555.a 1.a $4$ $76.297$ 4.4.8768.1 None \(-2\) \(4\) \(4\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
9555.2.a.bu 9555.a 1.a $5$ $76.297$ 5.5.70601.1 None \(-1\) \(-5\) \(-5\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
9555.2.a.bv 9555.a 1.a $5$ $76.297$ 5.5.70601.1 None \(-1\) \(-5\) \(-5\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
9555.2.a.bw 9555.a 1.a $5$ $76.297$ 5.5.70601.1 None \(-1\) \(5\) \(5\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
9555.2.a.bx 9555.a 1.a $5$ $76.297$ 5.5.70601.1 None \(-1\) \(5\) \(5\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
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