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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 19
2166.2.a.a 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.a.c \(-1\) \(-1\) \(0\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
2166.2.a.b 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.e.b \(-1\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
2166.2.a.c 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.e.a \(-1\) \(1\) \(-4\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
2166.2.a.d 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.a.b \(-1\) \(1\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
2166.2.a.e 2166.a 1.a $1$ $17.296$ \(\Q\) None 2166.2.a.e \(-1\) \(1\) \(2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots\)
2166.2.a.f 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.e.a \(1\) \(-1\) \(-4\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
2166.2.a.g 2166.a 1.a $1$ $17.296$ \(\Q\) None 2166.2.a.e \(1\) \(-1\) \(2\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots\)
2166.2.a.h 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.e.b \(1\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
2166.2.a.i 2166.a 1.a $1$ $17.296$ \(\Q\) None 114.2.a.a \(1\) \(1\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots\)
2166.2.a.j 2166.a 1.a $2$ $17.296$ \(\Q(\sqrt{5}) \) None 2166.2.a.j \(-2\) \(-2\) \(5\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(3-\beta )q^{5}+q^{6}+\cdots\)
2166.2.a.k 2166.a 1.a $2$ $17.296$ \(\Q(\sqrt{5}) \) None 2166.2.a.k \(-2\) \(2\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{8}+\cdots\)
2166.2.a.l 2166.a 1.a $2$ $17.296$ \(\Q(\sqrt{5}) \) None 2166.2.a.k \(2\) \(-2\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{8}+\cdots\)
2166.2.a.m 2166.a 1.a $2$ $17.296$ \(\Q(\sqrt{5}) \) None 2166.2.a.j \(2\) \(2\) \(5\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(3-\beta )q^{5}+q^{6}+\cdots\)
2166.2.a.n 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.b \(-3\) \(-3\) \(-6\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(-2-\beta _{1})q^{5}+q^{6}+\cdots\)
2166.2.a.o 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.d \(-3\) \(-3\) \(0\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
2166.2.a.p 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.c \(-3\) \(3\) \(-6\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.q 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.a \(-3\) \(3\) \(0\) \(-9\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
2166.2.a.r 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.c \(3\) \(-3\) \(-6\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.s 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.a \(3\) \(-3\) \(0\) \(-9\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
2166.2.a.t 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.b \(3\) \(3\) \(-6\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-2-\beta _{1})q^{5}+q^{6}+\cdots\)
2166.2.a.u 2166.a 1.a $3$ $17.296$ \(\Q(\zeta_{18})^+\) None 114.2.i.d \(3\) \(3\) \(0\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
2166.2.a.v 2166.a 1.a $4$ $17.296$ 4.4.40025.1 None 2166.2.a.v \(-4\) \(-4\) \(2\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
2166.2.a.w 2166.a 1.a $4$ $17.296$ \(\Q(\zeta_{20})^+\) None 2166.2.a.w \(-4\) \(4\) \(8\) \(6\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.x 2166.a 1.a $4$ $17.296$ \(\Q(\zeta_{20})^+\) None 2166.2.a.w \(4\) \(-4\) \(8\) \(6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.y 2166.a 1.a $4$ $17.296$ 4.4.40025.1 None 2166.2.a.v \(4\) \(4\) \(2\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
2166.4.a.a 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.a.d \(-2\) \(3\) \(-11\) \(-15\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}-11q^{5}-6q^{6}+\cdots\)
2166.4.a.b 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.e.b \(-2\) \(3\) \(-6\) \(19\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
2166.4.a.c 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.e.a \(-2\) \(3\) \(2\) \(-21\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
2166.4.a.d 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.a.b \(2\) \(-3\) \(-7\) \(-15\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}-7q^{5}-6q^{6}+\cdots\)
2166.4.a.e 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.e.b \(2\) \(-3\) \(-6\) \(19\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
2166.4.a.f 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.e.a \(2\) \(-3\) \(2\) \(-21\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
2166.4.a.g 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.a.c \(2\) \(-3\) \(12\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}+12q^{5}-6q^{6}+\cdots\)
2166.4.a.h 2166.a 1.a $1$ $127.798$ \(\Q\) None 114.4.a.a \(2\) \(3\) \(-19\) \(9\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}-19q^{5}+6q^{6}+\cdots\)
2166.4.a.i 2166.a 1.a $1$ $127.798$ \(\Q\) None 6.4.a.a \(2\) \(3\) \(6\) \(-16\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+6q^{5}+6q^{6}+\cdots\)
2166.4.a.j 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{5}) \) None 2166.4.a.j \(-4\) \(-6\) \(-13\) \(-17\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(-4-5\beta )q^{5}+\cdots\)
2166.4.a.k 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{30}) \) None 114.4.e.c \(-4\) \(-6\) \(8\) \(18\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(4+\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.l 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{273}) \) None 114.4.a.f \(-4\) \(-6\) \(11\) \(9\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(6-\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.m 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{313}) \) None 2166.4.a.m \(-4\) \(6\) \(-15\) \(9\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}+(-7-\beta )q^{5}+\cdots\)
2166.4.a.n 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{17}) \) None 114.4.a.e \(-4\) \(6\) \(18\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}+(9+\beta )q^{5}-6q^{6}+\cdots\)
2166.4.a.o 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{313}) \) None 2166.4.a.m \(4\) \(-6\) \(-15\) \(9\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}+(-7-\beta )q^{5}+\cdots\)
2166.4.a.p 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{5}) \) None 2166.4.a.j \(4\) \(6\) \(-13\) \(-17\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+(-4-5\beta )q^{5}+\cdots\)
2166.4.a.q 2166.a 1.a $2$ $127.798$ \(\Q(\sqrt{30}) \) None 114.4.e.c \(4\) \(6\) \(8\) \(18\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+(4+\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.r 2166.a 1.a $3$ $127.798$ 3.3.373564.1 None 2166.4.a.r \(-6\) \(-9\) \(-5\) \(-11\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(-2+\beta _{2})q^{5}+\cdots\)
2166.4.a.s 2166.a 1.a $3$ $127.798$ 3.3.1524.1 None 114.4.e.e \(-6\) \(-9\) \(2\) \(-17\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(1-\beta _{2})q^{5}+\cdots\)
2166.4.a.t 2166.a 1.a $3$ $127.798$ 3.3.14457.1 None 114.4.e.d \(-6\) \(9\) \(10\) \(7\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
2166.4.a.u 2166.a 1.a $3$ $127.798$ 3.3.14457.1 None 114.4.e.d \(6\) \(-9\) \(10\) \(7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
2166.4.a.v 2166.a 1.a $3$ $127.798$ 3.3.373564.1 None 2166.4.a.r \(6\) \(9\) \(-5\) \(-11\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+(-2+\beta _{2})q^{5}+\cdots\)
2166.4.a.w 2166.a 1.a $3$ $127.798$ 3.3.1524.1 None 114.4.e.e \(6\) \(9\) \(2\) \(-17\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+(1-\beta _{2})q^{5}+\cdots\)
2166.4.a.x 2166.a 1.a $4$ $127.798$ 4.4.184225.1 None 2166.4.a.x \(-8\) \(-12\) \(-28\) \(-17\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+4q^{4}+(-7+2\beta _{2}+\cdots)q^{5}+\cdots\)
2166.4.a.y 2166.a 1.a $4$ $127.798$ 4.4.8742025.2 None 2166.4.a.y \(-8\) \(12\) \(0\) \(28\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+3q^{3}+4q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
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