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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
41.2.a.a 41.a 1.a $3$ $0.327$ 3.3.148.1 None \(-1\) \(0\) \(-2\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
53.2.a.b 53.a 1.a $3$ $0.423$ 3.3.148.1 None \(-1\) \(3\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
61.2.a.b 61.a 1.a $3$ $0.487$ 3.3.148.1 None \(1\) \(2\) \(-1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
71.2.a.a 71.a 1.a $3$ $0.567$ 3.3.257.1 None \(-1\) \(1\) \(5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
71.2.a.b 71.a 1.a $3$ $0.567$ 3.3.257.1 None \(0\) \(-1\) \(-3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
87.2.a.b 87.a 1.a $3$ $0.695$ 3.3.229.1 None \(2\) \(-3\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}-q^{3}+(2+\beta _{1})q^{4}-2\beta _{1}q^{5}+\cdots\)
91.2.a.d 91.a 1.a $3$ $0.727$ 3.3.316.1 None \(1\) \(-2\) \(2\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
93.2.a.b 93.a 1.a $3$ $0.743$ 3.3.229.1 None \(0\) \(3\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
95.2.a.a 95.a 1.a $3$ $0.759$ 3.3.148.1 None \(1\) \(2\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
97.2.a.a 97.a 1.a $3$ $0.775$ \(\Q(\zeta_{14})^+\) None \(-4\) \(-4\) \(-3\) \(-7\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{2}+(-2+\beta _{1}-\beta _{2})q^{3}+\cdots\)
109.2.a.b 109.a 1.a $3$ $0.870$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-4\) \(-6\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(-1+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
111.2.a.a 111.a 1.a $3$ $0.886$ 3.3.148.1 None \(3\) \(-3\) \(4\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
113.2.a.c 113.a 1.a $3$ $0.902$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-5\) \(-1\) \(-10\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+\cdots\)
113.2.a.d 113.a 1.a $3$ $0.902$ 3.3.321.1 None \(-2\) \(-1\) \(-3\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}-\beta _{1}q^{3}+(3-\beta _{1})q^{4}+\cdots\)
122.2.a.c 122.a 1.a $3$ $0.974$ 3.3.229.1 None \(3\) \(-1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{2}q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
123.2.a.d 123.a 1.a $3$ $0.982$ 3.3.316.1 None \(1\) \(-3\) \(4\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
17.4.a.b 17.a 1.a $3$ $1.003$ 3.3.2636.1 None \(1\) \(4\) \(-8\) \(22\) $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}-\beta _{2})q^{2}+(2-\beta _{1}+2\beta _{2})q^{3}+\cdots\)
127.2.a.a 127.a 1.a $3$ $1.014$ \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(-6\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
129.2.a.d 129.a 1.a $3$ $1.030$ 3.3.568.1 None \(-2\) \(3\) \(-4\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+q^{3}+(3+\beta _{2})q^{4}+\cdots\)
133.2.a.d 133.a 1.a $3$ $1.062$ 3.3.229.1 None \(2\) \(3\) \(-2\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
134.2.a.a 134.a 1.a $3$ $1.070$ 3.3.473.1 None \(-3\) \(1\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{2}q^{3}+q^{4}+(1+\beta _{1})q^{5}-\beta _{2}q^{6}+\cdots\)
134.2.a.b 134.a 1.a $3$ $1.070$ \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
139.2.a.b 139.a 1.a $3$ $1.110$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-2\) \(-8\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
19.4.a.b 19.a 1.a $3$ $1.121$ 3.3.3144.1 None \(3\) \(1\) \(14\) \(-35\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1}-\beta _{2})q^{2}+(-\beta _{1}+2\beta _{2})q^{3}+\cdots\)
145.2.a.c 145.a 1.a $3$ $1.158$ 3.3.148.1 None \(1\) \(2\) \(3\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
145.2.a.d 145.a 1.a $3$ $1.158$ 3.3.148.1 None \(3\) \(-2\) \(-3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
146.2.a.a 146.a 1.a $3$ $1.166$ 3.3.404.1 None \(-3\) \(0\) \(-2\) \(8\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
149.2.a.a 149.a 1.a $3$ $1.190$ \(\Q(\zeta_{14})^+\) None \(-1\) \(-4\) \(-3\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-2+\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
151.2.a.a 151.a 1.a $3$ $1.206$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-1\) \(-7\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
151.2.a.b 151.a 1.a $3$ $1.206$ 3.3.257.1 None \(0\) \(6\) \(5\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+2q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
152.2.a.c 152.a 1.a $3$ $1.214$ 3.3.961.1 None \(0\) \(1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
161.2.a.c 161.a 1.a $3$ $1.286$ 3.3.148.1 None \(-1\) \(2\) \(2\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
165.2.a.c 165.a 1.a $3$ $1.318$ 3.3.148.1 None \(-1\) \(3\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
166.2.a.c 166.a 1.a $3$ $1.326$ 3.3.229.1 None \(3\) \(1\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+\cdots\)
169.2.a.b 169.a 1.a $3$ $1.349$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-2\) \(-4\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
169.2.a.c 169.a 1.a $3$ $1.349$ \(\Q(\zeta_{14})^+\) None \(2\) \(-2\) \(4\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(1-2\beta _{1}+\cdots)q^{4}+\cdots\)
177.2.a.d 177.a 1.a $3$ $1.413$ 3.3.229.1 None \(0\) \(-3\) \(-2\) \(9\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
178.2.a.d 178.a 1.a $3$ $1.421$ 3.3.568.1 None \(3\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
179.2.a.b 179.a 1.a $3$ $1.429$ \(\Q(\zeta_{14})^+\) None \(-1\) \(-2\) \(-4\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+\beta _{2}q^{4}+(-2+\cdots)q^{5}+\cdots\)
183.2.a.b 183.a 1.a $3$ $1.461$ 3.3.148.1 None \(1\) \(-3\) \(6\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+2q^{5}+\cdots\)
187.2.a.e 187.a 1.a $3$ $1.493$ 3.3.148.1 None \(-2\) \(-3\) \(-7\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
195.2.a.e 195.a 1.a $3$ $1.557$ 3.3.316.1 None \(0\) \(-3\) \(-3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(3+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
201.2.a.d 201.a 1.a $3$ $1.605$ 3.3.148.1 None \(3\) \(-3\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
202.2.a.b 202.a 1.a $3$ $1.613$ \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(-3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1-\beta _{1})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
203.2.a.f 203.a 1.a $3$ $1.621$ 3.3.148.1 None \(-1\) \(-3\) \(-5\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
205.2.a.f 205.a 1.a $3$ $1.637$ 3.3.229.1 None \(0\) \(2\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
205.2.a.g 205.a 1.a $3$ $1.637$ 3.3.229.1 None \(2\) \(2\) \(-3\) \(-9\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+(2+\cdots)q^{4}+\cdots\)
211.2.a.b 211.a 1.a $3$ $1.685$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-1\) \(-8\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}-\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
211.2.a.c 211.a 1.a $3$ $1.685$ 3.3.229.1 None \(0\) \(-3\) \(-5\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
212.2.a.c 212.a 1.a $3$ $1.693$ 3.3.756.1 None \(0\) \(-3\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-\beta _{2}q^{5}+(2+\beta _{2})q^{7}+\cdots\)
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