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Label Char Prim Dim $A$ Field CM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
65.2.o.a 65.o 65.o $20$ $0.519$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(-4\) \(-2\) \(-6\) \(-6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-\beta _{3}+\beta _{4})q^{2}+(\beta _{2}+\beta _{4}+\beta _{8}-\beta _{12}+\cdots)q^{3}+\cdots\)
65.2.t.a 65.t 65.t $20$ $0.519$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(-6\) \(-2\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{12}]$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots\)
73.2.h.a 73.h 73.h $20$ $0.583$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(-4\) \(0\) \(-4\) \(-2\) $\mathrm{SU}(2)[C_{12}]$ \(q-\beta _{9}q^{2}+(\beta _{2}+\beta _{6}-\beta _{8}-\beta _{11}+\beta _{13}+\cdots)q^{3}+\cdots\)
73.2.i.a 73.i 73.i $30$ $0.583$ None \(-6\) \(-6\) \(0\) \(-9\) $\mathrm{SU}(2)[C_{18}]$
77.2.m.b 77.m 77.m $40$ $0.615$ None \(-3\) \(-4\) \(4\) \(-2\) $\mathrm{SU}(2)[C_{15}]$
79.2.e.a 79.e 79.e $60$ $0.631$ None \(-9\) \(-9\) \(-11\) \(1\) $\mathrm{SU}(2)[C_{13}]$
27.3.f.a 27.f 27.f $30$ $0.736$ None \(-6\) \(-6\) \(-15\) \(-6\) $\mathrm{SU}(2)[C_{18}]$
115.2.g.c 115.g 23.c $50$ $0.918$ None \(-5\) \(-2\) \(-5\) \(-5\) $\mathrm{SU}(2)[C_{11}]$
155.2.q.a 155.q 31.g $40$ $1.238$ None \(-2\) \(-1\) \(20\) \(4\) $\mathrm{SU}(2)[C_{15}]$
155.2.q.b 155.q 31.g $40$ $1.238$ None \(2\) \(3\) \(-20\) \(-2\) $\mathrm{SU}(2)[C_{15}]$
159.2.g.a 159.g 53.d $60$ $1.270$ None \(-6\) \(-5\) \(-8\) \(-4\) $\mathrm{SU}(2)[C_{13}]$
159.2.g.b 159.g 53.d $60$ $1.270$ None \(0\) \(5\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{13}]$
161.2.i.a 161.i 23.c $50$ $1.286$ None \(2\) \(0\) \(-11\) \(5\) $\mathrm{SU}(2)[C_{11}]$
23.4.c.a 23.c 23.c $50$ $1.357$ None \(-11\) \(-13\) \(-19\) \(-19\) $\mathrm{SU}(2)[C_{11}]$
170.2.o.b 170.o 85.o $40$ $1.357$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{16}]$
170.2.r.b 170.r 85.r $40$ $1.357$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{16}]$
178.2.e.b 178.e 89.e $50$ $1.421$ None \(-5\) \(5\) \(-8\) \(-4\) $\mathrm{SU}(2)[C_{11}]$
183.2.q.a 183.q 61.i $40$ $1.461$ None \(-1\) \(10\) \(-15\) \(-7\) $\mathrm{SU}(2)[C_{15}]$
194.2.g.b 194.g 97.g $20$ $1.549$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(-6\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{12}]$ \(q-\beta _{7}q^{2}-\beta _{2}q^{3}+(1+\beta _{3})q^{4}+\beta _{14}q^{5}+\cdots\)
194.2.h.b 194.h 97.h $40$ $1.549$ None \(0\) \(-8\) \(8\) \(0\) $\mathrm{SU}(2)[C_{16}]$
198.2.m.a 198.m 99.m $40$ $1.581$ None \(-5\) \(1\) \(-1\) \(0\) $\mathrm{SU}(2)[C_{15}]$
201.2.i.a 201.i 67.e $50$ $1.605$ None \(-2\) \(5\) \(2\) \(2\) $\mathrm{SU}(2)[C_{11}]$
206.2.e.c 206.e 103.e $80$ $1.645$ None \(-5\) \(-6\) \(-6\) \(-10\) $\mathrm{SU}(2)[C_{17}]$
212.2.g.a 212.g 53.d $60$ $1.693$ None \(0\) \(2\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{13}]$
219.2.n.b 219.n 73.h $20$ $1.749$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(2\) \(0\) \(4\) \(-10\) $\mathrm{SU}(2)[C_{12}]$ \(q+\beta _{10}q^{2}+(-\beta _{5}-\beta _{6})q^{3}+(-1-\beta _{8}+\cdots)q^{4}+\cdots\)
17.5.e.a 17.e 17.e $40$ $1.757$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
242.2.e.a 242.e 121.e $50$ $1.932$ None \(5\) \(-10\) \(1\) \(0\) $\mathrm{SU}(2)[C_{11}]$
260.2.bf.c 260.bf 65.t $20$ $2.076$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(-2\) \(-6\) \(-6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-1-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{3}+\cdots\)
260.2.bk.c 260.bk 65.o $20$ $2.076$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(-2\) \(12\) \(6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(\beta _{2}-\beta _{3}+\beta _{4}-\beta _{5}+\beta _{6}+2\beta _{7}+\cdots)q^{3}+\cdots\)
262.2.e.a 262.e 131.e $60$ $2.092$ None \(5\) \(1\) \(1\) \(0\) $\mathrm{SU}(2)[C_{13}]$
268.2.i.a 268.i 67.e $50$ $2.140$ None \(0\) \(0\) \(0\) \(2\) $\mathrm{SU}(2)[C_{11}]$
274.2.e.a 274.e 137.e $80$ $2.188$ None \(5\) \(-2\) \(-2\) \(17\) $\mathrm{SU}(2)[C_{17}]$
81.3.f.a 81.f 27.f $30$ $2.207$ None \(6\) \(0\) \(15\) \(-6\) $\mathrm{SU}(2)[C_{18}]$
292.2.n.a 292.n 73.h $20$ $2.332$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(0\) \(-2\) \(-2\) $\mathrm{SU}(2)[C_{12}]$ \(q+(\beta _{1}-\beta _{2})q^{3}-\beta _{14}q^{5}+(\beta _{6}+\beta _{8}+\cdots)q^{7}+\cdots\)
302.2.g.b 302.g 151.g $40$ $2.411$ None \(20\) \(0\) \(-21\) \(-3\) $\mathrm{SU}(2)[C_{15}]$
325.2.s.b 325.s 65.o $20$ $2.595$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(4\) \(2\) \(0\) \(6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(\beta _{3}-\beta _{4})q^{2}+(-\beta _{2}-\beta _{4}-\beta _{8}+\beta _{12}+\cdots)q^{3}+\cdots\)
325.2.x.b 325.x 65.t $20$ $2.595$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(6\) \(2\) \(0\) \(2\) $\mathrm{SU}(2)[C_{12}]$ \(q+\beta _{2}q^{2}+(\beta _{2}+\beta _{4}+\beta _{8}-\beta _{12}+\beta _{15}+\cdots)q^{3}+\cdots\)
328.2.ba.a 328.ba 41.g $40$ $2.619$ None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{20}]$
100.3.k.a 100.k 25.f $40$ $2.725$ None \(0\) \(-2\) \(6\) \(14\) $\mathrm{SU}(2)[C_{20}]$
345.2.m.c 345.m 23.c $50$ $2.755$ None \(0\) \(-5\) \(5\) \(-3\) $\mathrm{SU}(2)[C_{11}]$
345.2.m.d 345.m 23.c $50$ $2.755$ None \(2\) \(5\) \(-5\) \(3\) $\mathrm{SU}(2)[C_{11}]$
351.2.bd.d 351.bd 39.k $20$ $2.803$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{12}]$ \(q-\beta _{4}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{13}+\beta _{15}+\cdots)q^{4}+\cdots\)
351.2.bd.e 351.bd 39.k $20$ $2.803$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(0\) \(6\) \(0\) $\mathrm{SU}(2)[C_{12}]$ \(q+\beta _{4}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{13}+\beta _{15}+\cdots)q^{4}+\cdots\)
410.2.u.d 410.u 41.g $40$ $3.274$ None \(0\) \(0\) \(0\) \(10\) $\mathrm{SU}(2)[C_{20}]$
122.3.h.a 122.h 61.h $20$ $3.324$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(10\) \(0\) \(6\) \(4\) $\mathrm{SU}(2)[C_{12}]$ \(q+(\beta _{5}-\beta _{10})q^{2}+(\beta _{1}+\beta _{2})q^{3}+2\beta _{9}q^{4}+\cdots\)
122.3.j.b 122.j 61.j $40$ $3.324$ None \(-10\) \(-10\) \(30\) \(-8\) $\mathrm{SU}(2)[C_{20}]$
460.2.m.b 460.m 23.c $50$ $3.673$ None \(0\) \(0\) \(5\) \(-1\) $\mathrm{SU}(2)[C_{11}]$
462.2.y.c 462.y 77.m $40$ $3.689$ None \(-5\) \(5\) \(1\) \(9\) $\mathrm{SU}(2)[C_{15}]$
462.2.y.d 462.y 77.m $40$ $3.689$ None \(5\) \(-5\) \(-3\) \(-7\) $\mathrm{SU}(2)[C_{15}]$
136.3.t.b 136.t 17.e $40$ $3.706$ None \(0\) \(8\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
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