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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.	Only for weight 1:	Projective image	Projective image type
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Label	Dim.	$A$	Field	Image	CM	RM	Traces				$q$-expansion
Label	Dim.	$A$	Field	Image	CM	RM	$a_2$	$a_3$	$a_5$	$a_7$	$q$-expansion
103.1.b.a	$2$	$0.051$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-103}) $	None	$-1$	$0$	$0$	$-1$	$q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots$
104.1.h.a	$1$	$0.052$	$\Q$	$D_{3}$	$\Q(\sqrt{-26}) $	None	$-1$	$-1$	$1$	$1$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
104.1.h.b	$1$	$0.052$	$\Q$	$D_{3}$	$\Q(\sqrt{-26}) $	None	$1$	$-1$	$-1$	$-1$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
107.1.b.a	$1$	$0.053$	$\Q$	$D_{3}$	$\Q(\sqrt{-107}) $	None	$0$	$-1$	$0$	$0$	$q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots$
108.1.c.a	$1$	$0.054$	$\Q$	$D_{3}$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$-1$	$q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots$
111.1.d.a	$1$	$0.055$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-111}) $	$\Q(\sqrt{37}) $	$0$	$1$	$0$	$-2$	$q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots$
111.1.d.b	$2$	$0.055$	$\Q(\sqrt{2}) $	$D_{4}$	$\Q(\sqrt{-111}) $	None	$0$	$-2$	$0$	$0$	$q-\beta q^{2}-q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{9}+\cdots$
111.1.h.a	$2$	$0.055$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$-1$	$q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
111.1.i.a	$2$	$0.055$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$1$	$q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
112.1.l.a	$2$	$0.056$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-7}) $	None	$0$	$0$	$0$	$0$	$q+iq^{2}-q^{4}+iq^{7}-iq^{8}-iq^{9}+\cdots$
116.1.d.a	$1$	$0.058$	$\Q$	$D_{3}$	$\Q(\sqrt{-29}) $	None	$-1$	$1$	$-1$	$0$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
116.1.d.b	$1$	$0.058$	$\Q$	$D_{3}$	$\Q(\sqrt{-29}) $	None	$1$	$-1$	$-1$	$0$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
116.1.j.a	$6$	$0.058$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-1}) $	None	$-1$	$0$	$-2$	$0$	$q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+(\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{5}+\cdots$
117.1.j.a	$2$	$0.058$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$-2$	$q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots$
119.1.d.a	$2$	$0.059$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-119}) $	None	$-1$	$-1$	$-1$	$2$	$q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$
119.1.d.b	$2$	$0.059$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-119}) $	None	$-1$	$1$	$1$	$-2$	$q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots$
120.1.i.a	$2$	$0.060$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-6}) $	$\Q(\sqrt{10}) $	$0$	$0$	$0$	$0$	$q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots$
124.1.i.a	$4$	$0.062$	$\Q(\zeta_{12})$	$A_{4}$	None	None	$0$	$0$	$-2$	$0$	$q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots$
127.1.b.a	$2$	$0.063$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-127}) $	None	$-1$	$0$	$0$	$0$	$q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots$
128.1.d.a	$1$	$0.064$	$\Q$	$D_{2}$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-2}) $	$\Q(\sqrt{2}) $	$0$	$0$	$0$	$0$	$q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots$
129.1.l.a	$6$	$0.064$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$-2$	$q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots$
131.1.b.a	$2$	$0.065$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-131}) $	None	$0$	$-1$	$-1$	$-1$	$q+(-1+\beta )q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+\cdots$
133.1.m.a	$4$	$0.066$	$\Q(\zeta_{12})$	$A_{4}$	None	None	$-2$	$0$	$0$	$0$	$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots$
133.1.r.a	$2$	$0.066$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-19}) $	None	$0$	$0$	$1$	$-1$	$q-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$
135.1.d.a	$1$	$0.067$	$\Q$	$D_{3}$	$\Q(\sqrt{-15}) $	None	$-1$	$0$	$1$	$0$	$q-q^{2}+q^{5}+q^{8}-q^{10}-q^{16}-q^{17}+\cdots$
135.1.d.b	$1$	$0.067$	$\Q$	$D_{3}$	$\Q(\sqrt{-15}) $	None	$1$	$0$	$-1$	$0$	$q+q^{2}-q^{5}-q^{8}-q^{10}-q^{16}+q^{17}+\cdots$
136.1.e.a	$1$	$0.068$	$\Q$	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-34}) $	$\Q(\sqrt{17}) $	$-1$	$0$	$0$	$0$	$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots$
136.1.j.a	$2$	$0.068$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-2}) $	None	$0$	$-2$	$0$	$0$	$q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots$
136.1.p.a	$4$	$0.068$	$\Q(\zeta_{8})$	$D_{8}$	$\Q(\sqrt{-2}) $	None	$0$	$0$	$0$	$0$	$q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$
139.1.b.a	$1$	$0.069$	$\Q$	$D_{3}$	$\Q(\sqrt{-139}) $	None	$0$	$0$	$-1$	$-1$	$q+q^{4}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots$
140.1.h.a	$1$	$0.070$	$\Q$	$D_{3}$	$\Q(\sqrt{-35}) $	None	$0$	$-1$	$1$	$1$	$q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots$
140.1.h.b	$1$	$0.070$	$\Q$	$D_{3}$	$\Q(\sqrt{-35}) $	None	$0$	$1$	$-1$	$-1$	$q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots$
140.1.p.a	$2$	$0.070$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-5}) $	None	$-1$	$1$	$-1$	$-1$	$q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$
140.1.p.b	$2$	$0.070$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-5}) $	None	$1$	$-1$	$-1$	$1$	$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$
143.1.d.a	$2$	$0.071$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-143}) $	None	$-1$	$-1$	$0$	$-1$	$q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$
143.1.d.b	$2$	$0.071$	$\Q(\sqrt{5}) $	$D_{5}$	$\Q(\sqrt{-143}) $	None	$1$	$-1$	$0$	$1$	$q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$
144.1.g.a	$1$	$0.072$	$\Q$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-1}) $	$\Q(\sqrt{3}) $	$0$	$0$	$0$	$0$	$q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots$
145.1.f.a	$2$	$0.072$	$\Q(\sqrt{-1}) $	$D_{4}$	None	$\Q(\sqrt{5}) $	$0$	$0$	$0$	$0$	$q+iq^{4}-iq^{5}+iq^{9}+(-1-i)q^{11}+\cdots$
145.1.h.a	$2$	$0.072$	$\Q(\sqrt{-1}) $	$D_{4}$	None	$\Q(\sqrt{29}) $	$0$	$0$	$0$	$-2$	$q-iq^{4}-iq^{5}+(-1+i)q^{7}+iq^{9}+\cdots$
147.1.l.a	$6$	$0.073$	$\Q(\zeta_{14})$	$D_{7}$	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$-1$	$q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}-\zeta_{14}^{3}q^{7}+\cdots$
148.1.f.a	$2$	$0.074$	$\Q(\sqrt{-1}) $	$S_{4}$	None	None	$0$	$0$	$0$	$-2$	$q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots$
148.1.i.a	$2$	$0.074$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-1}) $	None	$-1$	$0$	$1$	$0$	$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots$
148.1.p.a	$6$	$0.074$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-3$	$0$	$q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots$
151.1.b.a	$3$	$0.075$	$\Q(\zeta_{14})^+$	$D_{7}$	$\Q(\sqrt{-151}) $	None	$-1$	$0$	$-1$	$0$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots$
152.1.g.a	$1$	$0.076$	$\Q$	$D_{3}$	$\Q(\sqrt{-38}) $	None	$-1$	$1$	$0$	$-1$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
152.1.g.b	$1$	$0.076$	$\Q$	$D_{3}$	$\Q(\sqrt{-38}) $	None	$1$	$-1$	$0$	$-1$	$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
152.1.k.a	$2$	$0.076$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-2}) $	None	$-1$	$1$	$0$	$0$	$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$
152.1.u.a	$6$	$0.076$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-2}) $	None	$0$	$-3$	$0$	$0$	$q-\zeta_{18}^{5}q^{2}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{3}-\zeta_{18}q^{4}+\cdots$
155.1.c.a	$1$	$0.077$	$\Q$	$D_{2}$	$\Q(\sqrt{-31}) $, $\Q(\sqrt{-155}) $	$\Q(\sqrt{5}) $	$0$	$0$	$-1$	$0$	$q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots$
155.1.c.b	$2$	$0.077$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-31}) $	None	$0$	$0$	$1$	$0$	$q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots$

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Label	Dim.	\(A\)	Field	Image	CM	RM	Traces				$q$-expansion
Label	Dim.	\(A\)	Field	Image	CM	RM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	$q$-expansion
103.1.b.a	\(2\)	\(0.051\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-103}) \)	None	\(-1\)	\(0\)	\(0\)	\(-1\)	\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
104.1.h.a	\(1\)	\(0.052\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-26}) \)	None	\(-1\)	\(-1\)	\(1\)	\(1\)	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
104.1.h.b	\(1\)	\(0.052\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-26}) \)	None	\(1\)	\(-1\)	\(-1\)	\(-1\)	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
107.1.b.a	\(1\)	\(0.053\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-107}) \)	None	\(0\)	\(-1\)	\(0\)	\(0\)	\(q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots\)
108.1.c.a	\(1\)	\(0.054\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(-1\)	\(q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots\)
111.1.d.a	\(1\)	\(0.055\)	\(\Q\)	\(D_{2}\)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)	\(0\)	\(1\)	\(0\)	\(-2\)	\(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
111.1.d.b	\(2\)	\(0.055\)	\(\Q(\sqrt{2}) \)	\(D_{4}\)	\(\Q(\sqrt{-111}) \)	None	\(0\)	\(-2\)	\(0\)	\(0\)	\(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{9}+\cdots\)
111.1.h.a	\(2\)	\(0.055\)	\(\Q(\sqrt{-3}) \)	\(D_{6}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(-1\)	\(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
111.1.i.a	\(2\)	\(0.055\)	\(\Q(\sqrt{-3}) \)	\(D_{3}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(1\)	\(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
112.1.l.a	\(2\)	\(0.056\)	\(\Q(\sqrt{-1}) \)	\(D_{4}\)	\(\Q(\sqrt{-7}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(q+iq^{2}-q^{4}+iq^{7}-iq^{8}-iq^{9}+\cdots\)
116.1.d.a	\(1\)	\(0.058\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-29}) \)	None	\(-1\)	\(1\)	\(-1\)	\(0\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
116.1.d.b	\(1\)	\(0.058\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-29}) \)	None	\(1\)	\(-1\)	\(-1\)	\(0\)	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
116.1.j.a	\(6\)	\(0.058\)	\(\Q(\zeta_{14})\)	\(D_{7}\)	\(\Q(\sqrt{-1}) \)	None	\(-1\)	\(0\)	\(-2\)	\(0\)	\(q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+(\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{5}+\cdots\)
117.1.j.a	\(2\)	\(0.058\)	\(\Q(\sqrt{-1}) \)	\(D_{4}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)	\(q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots\)
119.1.d.a	\(2\)	\(0.059\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-119}) \)	None	\(-1\)	\(-1\)	\(-1\)	\(2\)	\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
119.1.d.b	\(2\)	\(0.059\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-119}) \)	None	\(-1\)	\(1\)	\(1\)	\(-2\)	\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
120.1.i.a	\(2\)	\(0.060\)	\(\Q(\sqrt{-1}) \)	\(D_{2}\)	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{10}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
124.1.i.a	\(4\)	\(0.062\)	\(\Q(\zeta_{12})\)	\(A_{4}\)	None	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
127.1.b.a	\(2\)	\(0.063\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-127}) \)	None	\(-1\)	\(0\)	\(0\)	\(0\)	\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
128.1.d.a	\(1\)	\(0.064\)	\(\Q\)	\(D_{2}\)	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{2}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots\)
129.1.l.a	\(6\)	\(0.064\)	\(\Q(\zeta_{14})\)	\(D_{7}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(-2\)	\(q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots\)
131.1.b.a	\(2\)	\(0.065\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-131}) \)	None	\(0\)	\(-1\)	\(-1\)	\(-1\)	\(q+(-1+\beta )q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+\cdots\)
133.1.m.a	\(4\)	\(0.066\)	\(\Q(\zeta_{12})\)	\(A_{4}\)	None	None	\(-2\)	\(0\)	\(0\)	\(0\)	\(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots\)
133.1.r.a	\(2\)	\(0.066\)	\(\Q(\sqrt{-3}) \)	\(D_{3}\)	\(\Q(\sqrt{-19}) \)	None	\(0\)	\(0\)	\(1\)	\(-1\)	\(q-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
135.1.d.a	\(1\)	\(0.067\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-15}) \)	None	\(-1\)	\(0\)	\(1\)	\(0\)	\(q-q^{2}+q^{5}+q^{8}-q^{10}-q^{16}-q^{17}+\cdots\)
135.1.d.b	\(1\)	\(0.067\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-15}) \)	None	\(1\)	\(0\)	\(-1\)	\(0\)	\(q+q^{2}-q^{5}-q^{8}-q^{10}-q^{16}+q^{17}+\cdots\)
136.1.e.a	\(1\)	\(0.068\)	\(\Q\)	\(D_{2}\)	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-34}) \)	\(\Q(\sqrt{17}) \)	\(-1\)	\(0\)	\(0\)	\(0\)	\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots\)
136.1.j.a	\(2\)	\(0.068\)	\(\Q(\sqrt{-1}) \)	\(D_{4}\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(-2\)	\(0\)	\(0\)	\(q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots\)
136.1.p.a	\(4\)	\(0.068\)	\(\Q(\zeta_{8})\)	\(D_{8}\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
139.1.b.a	\(1\)	\(0.069\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-139}) \)	None	\(0\)	\(0\)	\(-1\)	\(-1\)	\(q+q^{4}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
140.1.h.a	\(1\)	\(0.070\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-35}) \)	None	\(0\)	\(-1\)	\(1\)	\(1\)	\(q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots\)
140.1.h.b	\(1\)	\(0.070\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-35}) \)	None	\(0\)	\(1\)	\(-1\)	\(-1\)	\(q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots\)
140.1.p.a	\(2\)	\(0.070\)	\(\Q(\sqrt{-3}) \)	\(D_{3}\)	\(\Q(\sqrt{-5}) \)	None	\(-1\)	\(1\)	\(-1\)	\(-1\)	\(q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\)
140.1.p.b	\(2\)	\(0.070\)	\(\Q(\sqrt{-3}) \)	\(D_{3}\)	\(\Q(\sqrt{-5}) \)	None	\(1\)	\(-1\)	\(-1\)	\(1\)	\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\)
143.1.d.a	\(2\)	\(0.071\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-143}) \)	None	\(-1\)	\(-1\)	\(0\)	\(-1\)	\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
143.1.d.b	\(2\)	\(0.071\)	\(\Q(\sqrt{5}) \)	\(D_{5}\)	\(\Q(\sqrt{-143}) \)	None	\(1\)	\(-1\)	\(0\)	\(1\)	\(q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
144.1.g.a	\(1\)	\(0.072\)	\(\Q\)	\(D_{2}\)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{3}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
145.1.f.a	\(2\)	\(0.072\)	\(\Q(\sqrt{-1}) \)	\(D_{4}\)	None	\(\Q(\sqrt{5}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(q+iq^{4}-iq^{5}+iq^{9}+(-1-i)q^{11}+\cdots\)
145.1.h.a	\(2\)	\(0.072\)	\(\Q(\sqrt{-1}) \)	\(D_{4}\)	None	\(\Q(\sqrt{29}) \)	\(0\)	\(0\)	\(0\)	\(-2\)	\(q-iq^{4}-iq^{5}+(-1+i)q^{7}+iq^{9}+\cdots\)
147.1.l.a	\(6\)	\(0.073\)	\(\Q(\zeta_{14})\)	\(D_{7}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(-1\)	\(q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}-\zeta_{14}^{3}q^{7}+\cdots\)
148.1.f.a	\(2\)	\(0.074\)	\(\Q(\sqrt{-1}) \)	\(S_{4}\)	None	None	\(0\)	\(0\)	\(0\)	\(-2\)	\(q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots\)
148.1.i.a	\(2\)	\(0.074\)	\(\Q(\sqrt{-3}) \)	\(D_{3}\)	\(\Q(\sqrt{-1}) \)	None	\(-1\)	\(0\)	\(1\)	\(0\)	\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
148.1.p.a	\(6\)	\(0.074\)	\(\Q(\zeta_{18})\)	\(D_{9}\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-3\)	\(0\)	\(q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots\)
151.1.b.a	\(3\)	\(0.075\)	\(\Q(\zeta_{14})^+\)	\(D_{7}\)	\(\Q(\sqrt{-151}) \)	None	\(-1\)	\(0\)	\(-1\)	\(0\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
152.1.g.a	\(1\)	\(0.076\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-38}) \)	None	\(-1\)	\(1\)	\(0\)	\(-1\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
152.1.g.b	\(1\)	\(0.076\)	\(\Q\)	\(D_{3}\)	\(\Q(\sqrt{-38}) \)	None	\(1\)	\(-1\)	\(0\)	\(-1\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
152.1.k.a	\(2\)	\(0.076\)	\(\Q(\sqrt{-3}) \)	\(D_{3}\)	\(\Q(\sqrt{-2}) \)	None	\(-1\)	\(1\)	\(0\)	\(0\)	\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
152.1.u.a	\(6\)	\(0.076\)	\(\Q(\zeta_{18})\)	\(D_{9}\)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(-3\)	\(0\)	\(0\)	\(q-\zeta_{18}^{5}q^{2}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{3}-\zeta_{18}q^{4}+\cdots\)
155.1.c.a	\(1\)	\(0.077\)	\(\Q\)	\(D_{2}\)	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-155}) \)	\(\Q(\sqrt{5}) \)	\(0\)	\(0\)	\(-1\)	\(0\)	\(q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
155.1.c.b	\(2\)	\(0.077\)	\(\Q(\sqrt{-3}) \)	\(D_{6}\)	\(\Q(\sqrt{-31}) \)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots\)

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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.