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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 11
5775.2.a.a 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-2\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
5775.2.a.b 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-2\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
5775.2.a.c 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-2\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
5775.2.a.d 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}-q^{7}+3q^{8}+\cdots\)
5775.2.a.e 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}+q^{7}+3q^{8}+\cdots\)
5775.2.a.f 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
5775.2.a.g 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
5775.2.a.h 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
5775.2.a.i 5775.a 1.a $1$ $46.114$ \(\Q\) None \(-1\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}+q^{7}+3q^{8}+\cdots\)
5775.2.a.j 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{7}+q^{9}-q^{11}+2q^{12}+\cdots\)
5775.2.a.k 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{7}+q^{9}-q^{11}+2q^{12}+\cdots\)
5775.2.a.l 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+q^{7}+q^{9}-q^{11}+2q^{12}+\cdots\)
5775.2.a.m 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+q^{7}+q^{9}-q^{11}+2q^{12}+\cdots\)
5775.2.a.n 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{7}+q^{9}-q^{11}-2q^{12}+\cdots\)
5775.2.a.o 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{7}+q^{9}+q^{11}-2q^{12}+\cdots\)
5775.2.a.p 5775.a 1.a $1$ $46.114$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}+q^{7}+q^{9}-q^{11}-2q^{12}+\cdots\)
5775.2.a.q 5775.a 1.a $1$ $46.114$ \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{6}-q^{7}-3q^{8}+\cdots\)
5775.2.a.r 5775.a 1.a $1$ $46.114$ \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{6}-q^{7}-3q^{8}+\cdots\)
5775.2.a.s 5775.a 1.a $1$ $46.114$ \(\Q\) None \(1\) \(-1\) \(0\) \(1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{6}+q^{7}-3q^{8}+\cdots\)
5775.2.a.t 5775.a 1.a $1$ $46.114$ \(\Q\) None \(1\) \(1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{6}-q^{7}-3q^{8}+\cdots\)
5775.2.a.u 5775.a 1.a $1$ $46.114$ \(\Q\) None \(1\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{6}+q^{7}-3q^{8}+\cdots\)
5775.2.a.v 5775.a 1.a $1$ $46.114$ \(\Q\) None \(1\) \(1\) \(0\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{6}+q^{7}-3q^{8}+\cdots\)
5775.2.a.w 5775.a 1.a $1$ $46.114$ \(\Q\) None \(2\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots\)
5775.2.a.x 5775.a 1.a $1$ $46.114$ \(\Q\) None \(2\) \(-1\) \(0\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots\)
5775.2.a.y 5775.a 1.a $1$ $46.114$ \(\Q\) None \(2\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots\)
5775.2.a.z 5775.a 1.a $1$ $46.114$ \(\Q\) None \(2\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
5775.2.a.ba 5775.a 1.a $1$ $46.114$ \(\Q\) None \(2\) \(1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots\)
5775.2.a.bb 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{5}) \) None \(-3\) \(-2\) \(0\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(1+\beta )q^{6}+\cdots\)
5775.2.a.bc 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(2-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
5775.2.a.bd 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
5775.2.a.be 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
5775.2.a.bf 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{13}) \) None \(-1\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+\beta q^{6}-q^{7}+\cdots\)
5775.2.a.bg 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{13}) \) None \(-1\) \(2\) \(0\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-\beta q^{6}+q^{7}+\cdots\)
5775.2.a.bh 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+4q^{4}-\beta q^{6}-q^{7}+2\beta q^{8}+\cdots\)
5775.2.a.bi 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+\beta q^{6}+q^{7}-2\beta q^{8}+\cdots\)
5775.2.a.bj 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{13}) \) None \(1\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+(1+\beta )q^{4}-\beta q^{6}-q^{7}+\cdots\)
5775.2.a.bk 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
5775.2.a.bl 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{13}) \) None \(1\) \(2\) \(0\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(1+\beta )q^{4}+\beta q^{6}+q^{7}+\cdots\)
5775.2.a.bm 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{17}) \) None \(1\) \(2\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+\beta q^{6}+q^{7}+\cdots\)
5775.2.a.bn 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{21}) \) None \(1\) \(2\) \(0\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(3+\beta )q^{4}+\beta q^{6}-q^{7}+\cdots\)
5775.2.a.bo 5775.a 1.a $2$ $46.114$ \(\Q(\sqrt{5}) \) None \(3\) \(2\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+q^{3}+3\beta q^{4}+(1+\beta )q^{6}+\cdots\)
5775.2.a.bp 5775.a 1.a $3$ $46.114$ 3.3.229.1 None \(-2\) \(-3\) \(0\) \(3\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}-q^{3}+(2+\beta _{1})q^{4}+\cdots\)
5775.2.a.bq 5775.a 1.a $3$ $46.114$ 3.3.316.1 None \(-1\) \(-3\) \(0\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
5775.2.a.br 5775.a 1.a $3$ $46.114$ 3.3.316.1 None \(-1\) \(3\) \(0\) \(3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
5775.2.a.bs 5775.a 1.a $3$ $46.114$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(-3\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\beta _{2}q^{6}+\cdots\)
5775.2.a.bt 5775.a 1.a $3$ $46.114$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\beta _{2}q^{6}+\cdots\)
5775.2.a.bu 5775.a 1.a $3$ $46.114$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\beta _{2}q^{6}+\cdots\)
5775.2.a.bv 5775.a 1.a $3$ $46.114$ 3.3.148.1 None \(0\) \(3\) \(0\) \(3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+\beta _{2}q^{6}+\cdots\)
5775.2.a.bw 5775.a 1.a $3$ $46.114$ 3.3.837.1 None \(0\) \(3\) \(0\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
5775.2.a.bx 5775.a 1.a $4$ $46.114$ 4.4.2624.1 None \(-2\) \(4\) \(0\) \(4\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}-\beta _{3})q^{2}+q^{3}+(2-2\beta _{1}+\cdots)q^{4}+\cdots\)
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