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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2850.2.a.a 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
2850.2.a.b 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
2850.2.a.c 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
2850.2.a.d 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.e 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.f 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
2850.2.a.g 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
2850.2.a.h 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
2850.2.a.i 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.j 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.k 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.l 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.m 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.n 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.o 2850.a 1.a $1$ $22.757$ \(\Q\) None \(-1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.p 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
2850.2.a.q 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.r 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.s 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2850.2.a.t 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2850.2.a.u 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2850.2.a.v 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots\)
2850.2.a.w 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
2850.2.a.x 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
2850.2.a.y 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.z 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.ba 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
2850.2.a.bb 2850.a 1.a $1$ $22.757$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
2850.2.a.bc 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{6}) \) None \(-2\) \(-2\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+(-2+\beta )q^{7}+\cdots\)
2850.2.a.bd 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots\)
2850.2.a.be 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+(-1+\beta )q^{7}+\cdots\)
2850.2.a.bf 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{10}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+\beta q^{7}-q^{8}+\cdots\)
2850.2.a.bg 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{10}) \) None \(2\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+\beta q^{7}+q^{8}+\cdots\)
2850.2.a.bh 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+(1+\beta )q^{7}+\cdots\)
2850.2.a.bi 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+(1+\beta )q^{7}+\cdots\)
2850.2.a.bj 2850.a 1.a $2$ $22.757$ \(\Q(\sqrt{6}) \) None \(2\) \(2\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+(2+\beta )q^{7}+\cdots\)
2850.2.a.bk 2850.a 1.a $3$ $22.757$ 3.3.148.1 None \(-3\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-\beta _{2}q^{7}-q^{8}+\cdots\)
2850.2.a.bl 2850.a 1.a $3$ $22.757$ 3.3.148.1 None \(-3\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-\beta _{2}q^{7}-q^{8}+\cdots\)
2850.2.a.bm 2850.a 1.a $3$ $22.757$ 3.3.148.1 None \(3\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+\beta _{2}q^{7}+q^{8}+\cdots\)
2850.2.a.bn 2850.a 1.a $3$ $22.757$ 3.3.148.1 None \(3\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+\beta _{2}q^{7}+q^{8}+\cdots\)
2850.2.d.a 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
2850.2.d.b 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{8}-q^{9}+\cdots\)
2850.2.d.c 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
2850.2.d.d 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
2850.2.d.e 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
2850.2.d.f 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
2850.2.d.g 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}-iq^{8}-q^{9}+\cdots\)
2850.2.d.h 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
2850.2.d.i 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{8}-q^{9}+\cdots\)
2850.2.d.j 2850.d 5.b $2$ $22.757$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+2iq^{7}+\cdots\)
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