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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
59.2.c.a	$59$	$2$	59.c	59.c	$29$	$112$	$4$	$0.471$		None		$2$	$0$	$-26$	$-23$	$-25$	$-23$		$\mathrm{SU}(2)[C_{29}]$
71.2.g.a	$71$	$2$	71.g	71.g	$35$	$120$	$5$	$0.567$		None		$2$	$0$	$-22$	$-20$	$-20$	$-27$		$\mathrm{SU}(2)[C_{35}]$
79.2.g.a	$79$	$2$	79.g	79.g	$39$	$144$	$6$	$0.631$		None		$2$	$0$	$-24$	$-26$	$-25$	$-26$		$\mathrm{SU}(2)[C_{39}]$
81.2.g.a	$81$	$2$	81.g	81.g	$27$	$144$	$8$	$0.647$		None		$2$	$0$	$-18$	$-18$	$-18$	$-18$		$\mathrm{SU}(2)[C_{27}]$
83.2.c.a	$83$	$2$	83.c	83.c	$41$	$240$	$6$	$0.663$		None		$2$	$0$	$-38$	$-37$	$-35$	$-33$		$\mathrm{SU}(2)[C_{41}]$
89.2.g.a	$89$	$2$	89.g	89.g	$44$	$140$	$7$	$0.711$		None		$2$	$0$	$-20$	$-20$	$-22$	$-20$		$\mathrm{SU}(2)[C_{44}]$
97.2.k.a	$97$	$2$	97.k	97.k	$48$	$128$	$8$	$0.775$		None		$2$	$0$	$-16$	$-24$	$-16$	$-16$		$\mathrm{SU}(2)[C_{48}]$
47.3.d.a	$47$	$3$	47.d	47.d	$46$	$154$	$7$	$1.281$		None		$2$	$0$	$-21$	$-19$	$-23$	$-15$		$\mathrm{SU}(2)[C_{46}]$
53.3.f.a	$53$	$3$	53.f	53.f	$52$	$192$	$8$	$1.444$		None		$2$	$0$	$-20$	$-22$	$-16$	$-26$		$\mathrm{SU}(2)[C_{52}]$
59.3.d.a	$59$	$3$	59.d	59.d	$58$	$252$	$9$	$1.608$		None		$2$	$0$	$-29$	$-33$	$-21$	$-35$		$\mathrm{SU}(2)[C_{58}]$
61.3.l.a	$61$	$3$	61.l	61.l	$60$	$144$	$9$	$1.662$		None		$2$	$0$	$-18$	$-20$	$-6$	$-2$		$\mathrm{SU}(2)[C_{60}]$
64.3.j.a	$64$	$3$	64.j	64.j	$16$	$120$	$15$	$1.744$		None		$2$	$0$	$-8$	$-8$	$-8$	$-8$		$\mathrm{SU}(2)[C_{16}]$
67.3.f.a	$67$	$3$	67.f	67.f	$22$	$110$	$11$	$1.826$		None		$2$	$0$	$-11$	$-11$	$-11$	$-11$		$\mathrm{SU}(2)[C_{22}]$
67.3.h.a	$67$	$3$	67.h	67.h	$66$	$200$	$10$	$1.826$		None		$2$	$0$	$-19$	$-22$	$-22$	$-10$		$\mathrm{SU}(2)[C_{66}]$
69.3.h.a	$69$	$3$	69.h	69.h	$22$	$140$	$14$	$1.880$		None		$4$	$0$	$0$	$-7$	$0$	$-18$		$\mathrm{SU}(2)[C_{22}]$
71.3.h.a	$71$	$3$	71.h	71.h	$70$	$264$	$11$	$1.935$		None		$2$	$0$	$-22$	$-20$	$-24$	$-23$		$\mathrm{SU}(2)[C_{70}]$
73.3.l.a	$73$	$3$	73.l	73.l	$72$	$264$	$11$	$1.989$		None		$2$	$0$	$-24$	$-24$	$-24$	$-24$		$\mathrm{SU}(2)[C_{72}]$
76.3.l.a	$76$	$3$	76.l	76.l	$18$	$108$	$18$	$2.071$		None		$4$	$0$	$-6$	$0$	$-12$	$0$		$\mathrm{SU}(2)[C_{18}]$
77.3.o.a	$77$	$3$	77.o	77.o	$30$	$112$	$14$	$2.098$		None		$4$	$0$	$-5$	$-3$	$-1$	$-25$		$\mathrm{SU}(2)[C_{30}]$
77.3.p.a	$77$	$3$	77.p	77.p	$30$	$112$	$14$	$2.098$		None		$4$	$0$	$-5$	$-9$	$-15$	$-23$		$\mathrm{SU}(2)[C_{30}]$
79.3.f.a	$79$	$3$	79.f	79.f	$26$	$156$	$13$	$2.153$		None		$2$	$0$	$-9$	$-13$	$-11$	$-13$		$\mathrm{SU}(2)[C_{26}]$
79.3.h.a	$79$	$3$	79.h	79.h	$78$	$288$	$12$	$2.153$		None		$2$	$0$	$-24$	$-26$	$-25$	$-20$		$\mathrm{SU}(2)[C_{78}]$
81.3.h.a	$81$	$3$	81.h	81.h	$54$	$306$	$17$	$2.207$		None		$2$	$0$	$-18$	$-18$	$-18$	$-18$		$\mathrm{SU}(2)[C_{54}]$
83.3.d.a	$83$	$3$	83.d	83.d	$82$	$520$	$13$	$2.262$		None		$2$	$0$	$-41$	$-35$	$-41$	$-53$		$\mathrm{SU}(2)[C_{82}]$
85.3.p.a	$85$	$3$	85.p	85.p	$16$	$128$	$16$	$2.316$		None		$4$	$0$	$0$	$0$	$-8$	$0$		$\mathrm{SU}(2)[C_{16}]$
87.3.h.a	$87$	$3$	87.h	87.h	$14$	$108$	$18$	$2.371$		None		$4$	$0$	$0$	$-7$	$0$	$-18$		$\mathrm{SU}(2)[C_{14}]$
87.3.j.a	$87$	$3$	87.j	87.j	$14$	$108$	$18$	$2.371$		None		$4$	$0$	$0$	$-5$	$0$	$-2$		$\mathrm{SU}(2)[C_{14}]$
87.3.l.a	$87$	$3$	87.l	29.f	$28$	$120$	$10$	$2.371$		None		$2$	$0$	$8$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{28}]$
89.3.h.a	$89$	$3$	89.h	89.h	$88$	$560$	$14$	$2.425$		None		$2$	$0$	$-36$	$-48$	$-60$	$-40$		$\mathrm{SU}(2)[C_{88}]$
92.3.g.a	$92$	$3$	92.g	92.g	$22$	$220$	$22$	$2.507$		None		$4$	$0$	$-11$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{22}]$
93.3.o.b	$93$	$3$	93.o	93.o	$30$	$144$	$18$	$2.534$		None		$4$	$0$	$0$	$-8$	$0$	$14$		$\mathrm{SU}(2)[C_{30}]$
43.4.g.a	$43$	$4$	43.g	43.g	$21$	$120$	$10$	$2.537$		None		$2$	$0$	$-12$	$-9$	$5$	$-54$		$\mathrm{SU}(2)[C_{21}]$
94.3.d.a	$94$	$3$	94.d	47.d	$46$	$176$	$8$	$2.561$		None		$2$	$0$	$0$	$-4$	$0$	$-12$		$\mathrm{SU}(2)[C_{46}]$
95.3.o.a	$95$	$3$	95.o	95.o	$18$	$108$	$18$	$2.589$		None		$4$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{18}]$
95.3.q.a	$95$	$3$	95.q	95.q	$36$	$216$	$18$	$2.589$		None		$4$	$0$	$-12$	$-12$	$-12$	$12$		$\mathrm{SU}(2)[C_{36}]$
96.3.p.a	$96$	$3$	96.p	96.p	$8$	$120$	$30$	$2.616$		None		$4$	$0$	$0$	$-4$	$0$	$-8$		$\mathrm{SU}(2)[C_{8}]$
97.3.j.a	$97$	$3$	97.j	97.j	$32$	$256$	$16$	$2.643$		None		$2$	$0$	$-16$	$-16$	$-16$	$-16$		$\mathrm{SU}(2)[C_{32}]$
97.3.l.a	$97$	$3$	97.l	97.l	$96$	$480$	$15$	$2.643$		None		$2$	$0$	$-32$	$-32$	$-32$	$-32$		$\mathrm{SU}(2)[C_{96}]$
98.3.h.a	$98$	$3$	98.h	49.h	$42$	$120$	$10$	$2.670$		None		$2$	$0$	$0$	$6$	$6$	$-8$		$\mathrm{SU}(2)[C_{42}]$
99.3.n.a	$99$	$3$	99.n	99.n	$30$	$176$	$22$	$2.698$		None		$4$	$0$	$-9$	$-3$	$-18$	$-3$		$\mathrm{SU}(2)[C_{30}]$
99.3.o.a	$99$	$3$	99.o	99.o	$30$	$176$	$22$	$2.698$		None		$4$	$0$	$-5$	$-9$	$-6$	$-5$		$\mathrm{SU}(2)[C_{30}]$
100.3.h.b	$100$	$3$	100.h	100.h	$10$	$104$	$26$	$2.725$		None		$4$	$0$	$-5$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
100.3.j.a	$100$	$3$	100.j	100.j	$10$	$112$	$28$	$2.725$		None		$4$	$0$	$-3$	$0$	$-10$	$0$		$\mathrm{SU}(2)[C_{10}]$
47.4.c.a	$47$	$4$	47.c	47.c	$23$	$242$	$11$	$2.773$		None		$2$	$0$	$-21$	$-25$	$-31$	$-17$		$\mathrm{SU}(2)[C_{23}]$
49.4.g.a	$49$	$4$	49.g	49.g	$21$	$156$	$13$	$2.891$		None		$2$	$0$	$-13$	$-7$	$-7$	$-42$		$\mathrm{SU}(2)[C_{21}]$
29.5.f.a	$29$	$5$	29.f	29.f	$28$	$108$	$9$	$2.998$		None		$2$	$0$	$-6$	$-12$	$-14$	$-10$		$\mathrm{SU}(2)[C_{28}]$
51.4.i.a	$51$	$4$	51.i	51.i	$16$	$128$	$16$	$3.009$		None		$4$	$0$	$0$	$-8$	$0$	$-16$		$\mathrm{SU}(2)[C_{16}]$
53.4.d.a	$53$	$4$	53.d	53.d	$13$	$156$	$13$	$3.127$		None		$2$	$0$	$-11$	$-15$	$5$	$-37$		$\mathrm{SU}(2)[C_{13}]$
53.4.e.a	$53$	$4$	53.e	53.e	$26$	$144$	$12$	$3.127$		None		$2$	$0$	$-13$	$-13$	$-13$	$-37$		$\mathrm{SU}(2)[C_{26}]$
55.4.l.a	$55$	$4$	55.l	55.l	$20$	$128$	$16$	$3.245$		None		$4$	$0$	$-10$	$-10$	$-22$	$10$		$\mathrm{SU}(2)[C_{20}]$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.