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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2898.2.a.a 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots\)
2898.2.a.b 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(-3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots\)
2898.2.a.c 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
2898.2.a.d 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
2898.2.a.e 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
2898.2.a.f 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.g 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.h 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.i 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.j 2898.a 1.a $1$ $23.141$ \(\Q\) None \(-1\) \(0\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots\)
2898.2.a.k 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots\)
2898.2.a.l 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots\)
2898.2.a.m 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
2898.2.a.n 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-6q^{13}+\cdots\)
2898.2.a.o 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots\)
2898.2.a.p 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+q^{14}+\cdots\)
2898.2.a.q 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
2898.2.a.r 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots\)
2898.2.a.s 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
2898.2.a.t 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots\)
2898.2.a.u 2898.a 1.a $1$ $23.141$ \(\Q\) None \(1\) \(0\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{5}+q^{7}+q^{8}+4q^{10}+\cdots\)
2898.2.a.v 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-4\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots\)
2898.2.a.w 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots\)
2898.2.a.x 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{33}) \) None \(-2\) \(0\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.y 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(2+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.z 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-2+\beta )q^{5}-q^{7}+q^{8}+\cdots\)
2898.2.a.ba 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-\beta q^{5}-q^{7}+q^{8}-\beta q^{10}+\cdots\)
2898.2.a.bb 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{41}) \) None \(2\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-\beta q^{5}+q^{7}+q^{8}-\beta q^{10}+\cdots\)
2898.2.a.bc 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{41}) \) None \(2\) \(0\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots\)
2898.2.a.bd 2898.a 1.a $2$ $23.141$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}+q^{8}+\cdots\)
2898.2.a.be 2898.a 1.a $3$ $23.141$ 3.3.316.1 None \(-3\) \(0\) \(-4\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1+\beta _{2})q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.bf 2898.a 1.a $3$ $23.141$ 3.3.568.1 None \(-3\) \(0\) \(-1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta _{2}q^{5}-q^{7}-q^{8}-\beta _{2}q^{10}+\cdots\)
2898.2.a.bg 2898.a 1.a $3$ $23.141$ 3.3.568.1 None \(3\) \(0\) \(1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-\beta _{2}q^{5}-q^{7}+q^{8}-\beta _{2}q^{10}+\cdots\)
2898.2.a.bh 2898.a 1.a $4$ $23.141$ 4.4.271296.1 None \(-4\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta _{1}q^{5}+q^{7}-q^{8}-\beta _{1}q^{10}+\cdots\)
2898.2.a.bi 2898.a 1.a $4$ $23.141$ 4.4.271296.1 None \(4\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-\beta _{1}q^{5}+q^{7}+q^{8}-\beta _{1}q^{10}+\cdots\)
2898.2.f.a 2898.f 21.c $32$ $23.141$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2898.2.f.b 2898.f 21.c $32$ $23.141$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2898.2.g.a 2898.g 161.c $4$ $23.141$ 4.0.2312.1 None \(-4\) \(0\) \(-8\) \(2\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+q^{4}-2q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots\)
2898.2.g.b 2898.g 161.c $4$ $23.141$ 4.0.2312.1 None \(-4\) \(0\) \(8\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+q^{4}+2q^{5}+(-1+\beta _{1})q^{7}+\cdots\)
2898.2.g.c 2898.g 161.c $4$ $23.141$ \(\Q(i, \sqrt{7})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}+\beta _{3}q^{7}+q^{8}+2\beta _{3}q^{11}+\cdots\)
2898.2.g.d 2898.g 161.c $4$ $23.141$ \(\Q(i, \sqrt{7})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}+\beta _{2}q^{5}-\beta _{2}q^{7}+q^{8}+\cdots\)
2898.2.g.e 2898.g 161.c $4$ $23.141$ \(\Q(\sqrt{-2}, \sqrt{-7})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{3}q^{7}+q^{8}+\cdots\)
2898.2.g.f 2898.g 161.c $4$ $23.141$ \(\Q(\sqrt{-2}, \sqrt{7})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}-\beta _{3}q^{7}+q^{8}+\beta _{2}q^{11}+\cdots\)
2898.2.g.g 2898.g 161.c $4$ $23.141$ \(\Q(i, \sqrt{14})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}-\beta _{3}q^{7}+q^{8}+(\beta _{1}+\beta _{3})q^{11}+\cdots\)
2898.2.g.h 2898.g 161.c $4$ $23.141$ \(\Q(i, \sqrt{14})\) None \(4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}-\beta _{1}q^{7}+\cdots\)
2898.2.g.i 2898.g 161.c $16$ $23.141$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-16\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+q^{4}-\beta _{12}q^{5}+\beta _{1}q^{7}-q^{8}+\cdots\)
2898.2.g.j 2898.g 161.c $16$ $23.141$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-16\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+q^{4}-\beta _{8}q^{5}-\beta _{12}q^{7}-q^{8}+\cdots\)
2898.2.g.k 2898.g 161.c $16$ $23.141$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}-\beta _{12}q^{5}-\beta _{1}q^{7}+q^{8}+\cdots\)
2898.2.h.a 2898.h 69.c $24$ $23.141$ None \(0\) \(0\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2898.2.h.b 2898.h 69.c $24$ $23.141$ None \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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