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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2550.2.a.a 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots\)
2550.2.a.b 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
2550.2.a.c 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
2550.2.a.d 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
2550.2.a.e 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
2550.2.a.f 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+3q^{7}-q^{8}+\cdots\)
2550.2.a.g 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(-1\) \(0\) \(5\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+5q^{7}-q^{8}+\cdots\)
2550.2.a.h 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
2550.2.a.i 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
2550.2.a.j 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
2550.2.a.k 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
2550.2.a.l 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2550.2.a.m 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
2550.2.a.n 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots\)
2550.2.a.o 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots\)
2550.2.a.p 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots\)
2550.2.a.q 2550.a 1.a $1$ $20.362$ \(\Q\) None \(-1\) \(1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots\)
2550.2.a.r 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
2550.2.a.s 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
2550.2.a.t 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
2550.2.a.u 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
2550.2.a.v 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
2550.2.a.w 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
2550.2.a.x 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
2550.2.a.y 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+2q^{7}+q^{8}+\cdots\)
2550.2.a.z 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(-1\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
2550.2.a.ba 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(1\) \(0\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-5q^{7}+q^{8}+\cdots\)
2550.2.a.bb 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(1\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots\)
2550.2.a.bc 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
2550.2.a.bd 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
2550.2.a.be 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
2550.2.a.bf 2550.a 1.a $1$ $20.362$ \(\Q\) None \(1\) \(1\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+3q^{7}+q^{8}+\cdots\)
2550.2.a.bg 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{33}) \) None \(-2\) \(-2\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-\beta q^{7}-q^{8}+\cdots\)
2550.2.a.bh 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+(-1-\beta )q^{7}+\cdots\)
2550.2.a.bi 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{6}) \) None \(-2\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+\beta q^{7}-q^{8}+\cdots\)
2550.2.a.bj 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{6}) \) None \(2\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+\beta q^{7}+q^{8}+\cdots\)
2550.2.a.bk 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+(1+\beta )q^{7}+\cdots\)
2550.2.a.bl 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{6}) \) None \(2\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+\beta q^{7}+q^{8}+\cdots\)
2550.2.a.bm 2550.a 1.a $2$ $20.362$ \(\Q(\sqrt{33}) \) None \(2\) \(2\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+\beta q^{7}+q^{8}+\cdots\)
2550.2.a.bn 2550.a 1.a $3$ $20.362$ 3.3.568.1 None \(-3\) \(-3\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
2550.2.a.bo 2550.a 1.a $3$ $20.362$ 3.3.568.1 None \(3\) \(3\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+(2+\beta _{1})q^{7}+\cdots\)
2550.2.c.a 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+iq^{3}+q^{4}-iq^{6}+2iq^{7}+\cdots\)
2550.2.c.b 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+iq^{3}+q^{4}-iq^{6}+2iq^{7}+\cdots\)
2550.2.c.c 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-iq^{3}+q^{4}+iq^{6}+iq^{7}-q^{8}+\cdots\)
2550.2.c.d 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-iq^{3}+q^{4}+iq^{6}+3iq^{7}+\cdots\)
2550.2.c.e 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-iq^{3}+q^{4}+iq^{6}+3iq^{7}+\cdots\)
2550.2.c.f 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+iq^{3}+q^{4}-iq^{6}+2iq^{7}+\cdots\)
2550.2.c.g 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-iq^{3}+q^{4}-iq^{6}+3iq^{7}+\cdots\)
2550.2.c.h 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-iq^{3}+q^{4}-iq^{6}+q^{8}-q^{9}+\cdots\)
2550.2.c.i 2550.c 17.b $2$ $20.362$ \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-iq^{3}+q^{4}-iq^{6}+iq^{7}+q^{8}+\cdots\)
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