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Label Char Prim Dim $A$ Field CM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
101.5.c.a 101.c 101.c $66$ $10.440$ None \(-2\) \(-2\) \(-76\) \(48\) $\mathrm{SU}(2)[C_{4}]$
101.5.f.a 101.f 101.f $264$ $10.440$ None \(-8\) \(-8\) \(66\) \(-58\) $\mathrm{SU}(2)[C_{20}]$
101.5.i.a 101.i 101.i $1320$ $10.440$ None \(-40\) \(-40\) \(-40\) \(-40\) $\mathrm{SU}(2)[C_{100}]$
102.5.c.a 102.c 3.b $20$ $10.544$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(20\) \(0\) \(-104\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(1-\beta _{4})q^{3}-8q^{4}+\beta _{2}q^{5}+\cdots\)
102.5.d.a 102.d 51.c $24$ $10.544$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
102.5.e.a 102.e 51.f $48$ $10.544$ None \(0\) \(-8\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
102.5.g.a 102.g 51.g $4$ $10.544$ \(\Q(\zeta_{8})\) None \(-8\) \(24\) \(8\) \(-132\) $\mathrm{SU}(2)[C_{8}]$ \(q+(-2-2\zeta_{8}^{2})q^{2}+(6+3\zeta_{8}-6\zeta_{8}^{2}+\cdots)q^{3}+\cdots\)
102.5.g.b 102.g 51.g $4$ $10.544$ \(\Q(\zeta_{8})\) None \(8\) \(12\) \(-8\) \(-132\) $\mathrm{SU}(2)[C_{8}]$ \(q+(2+2\zeta_{8}^{2})q^{2}+(3+6\zeta_{8}+6\zeta_{8}^{3})q^{3}+\cdots\)
102.5.g.c 102.g 51.g $44$ $10.544$ None \(-88\) \(-32\) \(-72\) \(132\) $\mathrm{SU}(2)[C_{8}]$
102.5.g.d 102.g 51.g $44$ $10.544$ None \(88\) \(-4\) \(72\) \(132\) $\mathrm{SU}(2)[C_{8}]$
102.5.j.a 102.j 17.e $48$ $10.544$ None \(0\) \(0\) \(0\) \(-192\) $\mathrm{SU}(2)[C_{16}]$
102.5.j.b 102.j 17.e $48$ $10.544$ None \(0\) \(0\) \(0\) \(192\) $\mathrm{SU}(2)[C_{16}]$
103.5.b.a 103.b 103.b $5$ $10.647$ 5.5.33153125.1 \(\Q(\sqrt{-103}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{4}q^{2}+(2^{4}+6\beta _{2}-\beta _{3})q^{4}+(11\beta _{2}+\cdots)q^{7}+\cdots\)
103.5.b.b 103.b 103.b $28$ $10.647$ None \(-2\) \(0\) \(0\) \(28\) $\mathrm{SU}(2)[C_{2}]$
103.5.d.a 103.d 103.d $68$ $10.647$ None \(-1\) \(0\) \(-3\) \(69\) $\mathrm{SU}(2)[C_{6}]$
103.5.f.a 103.f 103.f $528$ $10.647$ None \(-15\) \(-17\) \(-17\) \(-45\) $\mathrm{SU}(2)[C_{34}]$
103.5.h.a 103.h 103.h $1088$ $10.647$ None \(-33\) \(-34\) \(-31\) \(-103\) $\mathrm{SU}(2)[C_{102}]$
104.5.g.a 104.g 8.d $48$ $10.750$ None \(-6\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
104.5.h.a 104.h 104.h $3$ $10.750$ 3.3.2808.1 \(\Q(\sqrt{-26}) \) \(-12\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-4q^{2}+(-\beta _{1}+2\beta _{2})q^{3}+2^{4}q^{4}+\cdots\)
104.5.h.b 104.h 104.h $3$ $10.750$ 3.3.2808.1 \(\Q(\sqrt{-26}) \) \(12\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+4q^{2}+(-\beta _{1}+2\beta _{2})q^{3}+2^{4}q^{4}+\cdots\)
104.5.h.c 104.h 104.h $48$ $10.750$ None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
104.5.j.a 104.j 104.j $108$ $10.750$ None \(-2\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{4}]$
104.5.l.a 104.l 13.d $14$ $10.750$ \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(0\) \(0\) \(6\) \(-8\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{7})q^{5}+(-1+\cdots)q^{7}+\cdots\)
104.5.l.b 104.l 13.d $14$ $10.750$ \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(0\) \(0\) \(54\) \(40\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{3}q^{3}+(4-4\beta _{4}-\beta _{6})q^{5}+(3+\beta _{1}+\cdots)q^{7}+\cdots\)
104.5.n.a 104.n 104.n $108$ $10.750$ None \(-1\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
104.5.p.a 104.p 104.p $108$ $10.750$ None \(-3\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
104.5.v.a 104.v 13.f $28$ $10.750$ None \(0\) \(0\) \(-54\) \(-112\) $\mathrm{SU}(2)[C_{12}]$
104.5.v.b 104.v 13.f $28$ $10.750$ None \(0\) \(0\) \(-6\) \(80\) $\mathrm{SU}(2)[C_{12}]$
104.5.x.a 104.x 104.x $216$ $10.750$ None \(-4\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{12}]$
105.5.c.a 105.c 3.b $32$ $10.854$ None \(0\) \(-16\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
105.5.e.a 105.e 35.c $32$ $10.854$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
105.5.f.a 105.f 15.d $48$ $10.854$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
105.5.h.a 105.h 7.b $20$ $10.854$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(12\) \(0\) \(0\) \(24\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1-\beta _{2})q^{2}-\beta _{4}q^{3}+(7+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
105.5.k.a 105.k 105.k $120$ $10.854$ None \(0\) \(0\) \(0\) \(-84\) $\mathrm{SU}(2)[C_{4}]$
105.5.l.a 105.l 5.c $48$ $10.854$ None \(0\) \(0\) \(96\) \(0\) $\mathrm{SU}(2)[C_{4}]$
105.5.n.a 105.n 7.d $4$ $10.854$ \(\Q(\sqrt{-3}, \sqrt{-5})\) None \(2\) \(18\) \(0\) \(28\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\beta _{1}+\beta _{2}-\beta _{3})q^{2}+(3+3\beta _{2})q^{3}+\cdots\)
105.5.n.b 105.n 7.d $8$ $10.854$ 8.0.\(\cdots\).5 None \(2\) \(-36\) \(0\) \(98\) $\mathrm{SU}(2)[C_{6}]$ \(q+(1-\beta _{1}-\beta _{2}+\beta _{4}+\beta _{5})q^{2}+(-3+\cdots)q^{3}+\cdots\)
105.5.n.c 105.n 7.d $12$ $10.854$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-8\) \(-54\) \(0\) \(-68\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\beta _{1}+\beta _{2})q^{2}+(-3+3\beta _{2})q^{3}+\cdots\)
105.5.n.d 105.n 7.d $20$ $10.854$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-8\) \(90\) \(0\) \(-56\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-1+\beta _{1}-\beta _{2})q^{2}+(6+3\beta _{2})q^{3}+\cdots\)
105.5.o.a 105.o 105.o $120$ $10.854$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
105.5.r.a 105.r 35.i $64$ $10.854$ None \(0\) \(0\) \(54\) \(0\) $\mathrm{SU}(2)[C_{6}]$
105.5.t.a 105.t 21.h $84$ $10.854$ None \(0\) \(0\) \(0\) \(106\) $\mathrm{SU}(2)[C_{6}]$
105.5.v.a 105.v 35.l $128$ $10.854$ None \(0\) \(0\) \(-36\) \(-20\) $\mathrm{SU}(2)[C_{12}]$
105.5.w.a 105.w 105.w $240$ $10.854$ None \(0\) \(-6\) \(0\) \(72\) $\mathrm{SU}(2)[C_{12}]$
106.5.c.a 106.c 53.c $18$ $10.957$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-36\) \(-10\) \(-64\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-2+2\beta _{2})q^{2}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
106.5.c.b 106.c 53.c $18$ $10.957$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(36\) \(-10\) \(16\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(2+2\beta _{3})q^{2}+(-1+\beta _{1}-\beta _{3})q^{3}+\cdots\)
106.5.f.a 106.f 53.f $216$ $10.957$ None \(-36\) \(10\) \(-16\) \(0\) $\mathrm{SU}(2)[C_{52}]$
106.5.f.b 106.f 53.f $216$ $10.957$ None \(36\) \(10\) \(64\) \(0\) $\mathrm{SU}(2)[C_{52}]$
107.5.b.a 107.b 107.b $3$ $11.061$ 3.3.321.1 \(\Q(\sqrt{-107}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(\beta _{1}-3\beta _{2})q^{3}+2^{4}q^{4}+(3^{4}-9\beta _{1}+\cdots)q^{9}+\cdots\)
107.5.b.b 107.b 107.b $32$ $11.061$ None \(0\) \(-10\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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