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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 5 31
9920.2.a.a 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-3\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+2q^{7}+6q^{9}+2q^{11}+\cdots\)
9920.2.a.b 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-3\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+2q^{7}+6q^{9}+2q^{11}+\cdots\)
9920.2.a.c 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-2\) \(1\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
9920.2.a.d 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-2\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-2q^{11}-2q^{15}+\cdots\)
9920.2.a.e 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-2\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-4q^{13}-2q^{15}+\cdots\)
9920.2.a.f 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}+6q^{11}+4q^{13}+\cdots\)
9920.2.a.g 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-2\) \(1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
9920.2.a.h 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-2\) \(1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+4q^{7}+q^{9}+4q^{13}+\cdots\)
9920.2.a.i 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}-2q^{9}-2q^{11}+\cdots\)
9920.2.a.j 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}-2q^{9}+2q^{11}+\cdots\)
9920.2.a.k 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}-2q^{9}-2q^{13}+\cdots\)
9920.2.a.l 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}-4q^{11}+6q^{13}+\cdots\)
9920.2.a.m 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+2q^{13}-q^{15}+\cdots\)
9920.2.a.n 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{9}-4q^{11}+4q^{19}+\cdots\)
9920.2.a.o 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{9}+4q^{11}+4q^{13}+\cdots\)
9920.2.a.p 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
9920.2.a.q 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}+4q^{11}-2q^{13}+6q^{17}+\cdots\)
9920.2.a.r 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots\)
9920.2.a.s 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}+4q^{11}-4q^{19}+\cdots\)
9920.2.a.t 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-3q^{9}+2q^{11}+6q^{13}+\cdots\)
9920.2.a.u 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}-2q^{11}-2q^{13}+8q^{19}+\cdots\)
9920.2.a.v 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}+2q^{11}-2q^{13}-8q^{19}+\cdots\)
9920.2.a.w 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-3q^{9}-2q^{11}+6q^{13}+\cdots\)
9920.2.a.x 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}-2q^{9}-2q^{11}+\cdots\)
9920.2.a.y 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(1\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}-2q^{9}+2q^{11}+\cdots\)
9920.2.a.z 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+2q^{13}+q^{15}+\cdots\)
9920.2.a.ba 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+4q^{11}+6q^{13}+\cdots\)
9920.2.a.bb 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}-2q^{9}-2q^{13}+\cdots\)
9920.2.a.bc 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(2\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{13}+\cdots\)
9920.2.a.bd 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(2\) \(1\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
9920.2.a.be 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(2\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}-6q^{11}+4q^{13}+\cdots\)
9920.2.a.bf 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}-4q^{13}+2q^{15}+\cdots\)
9920.2.a.bg 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(2\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}+2q^{11}+2q^{15}+\cdots\)
9920.2.a.bh 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(2\) \(1\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
9920.2.a.bi 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(3\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}-2q^{7}+6q^{9}-2q^{11}+\cdots\)
9920.2.a.bj 9920.a 1.a $1$ $79.212$ \(\Q\) None \(0\) \(3\) \(-1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}-2q^{7}+6q^{9}-2q^{11}+\cdots\)
9920.2.a.bk 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}-q^{5}+(3+2\beta )q^{9}-2\beta q^{11}+\cdots\)
9920.2.a.bl 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}+2\beta q^{7}+(1-2\beta )q^{9}+\cdots\)
9920.2.a.bm 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(1+\beta )q^{9}+(-2+2\beta )q^{11}+\cdots\)
9920.2.a.bn 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}-2q^{7}-q^{9}+(2+\beta )q^{11}+\cdots\)
9920.2.a.bo 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}-2q^{7}+3q^{9}+(-2+\beta )q^{11}+\cdots\)
9920.2.a.bp 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+2q^{7}-q^{9}+(-2+\beta )q^{11}+\cdots\)
9920.2.a.bq 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+2q^{7}+3q^{9}+(2+\beta )q^{11}+\cdots\)
9920.2.a.br 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(1+\beta )q^{9}+(2-2\beta )q^{11}+\cdots\)
9920.2.a.bs 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}+(3+2\beta )q^{9}+2\beta q^{11}+\cdots\)
9920.2.a.bt 9920.a 1.a $2$ $79.212$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{7}+(1+2\beta )q^{9}+\cdots\)
9920.2.a.bu 9920.a 1.a $3$ $79.212$ 3.3.148.1 None \(0\) \(-3\) \(-3\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}-q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
9920.2.a.bv 9920.a 1.a $3$ $79.212$ 3.3.756.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}-\beta _{2}q^{7}+(2-2\beta _{1}+\cdots)q^{9}+\cdots\)
9920.2.a.bw 9920.a 1.a $3$ $79.212$ 3.3.148.1 None \(0\) \(-2\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
9920.2.a.bx 9920.a 1.a $3$ $79.212$ 3.3.148.1 None \(0\) \(2\) \(-3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}-q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots\)
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