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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	CM	RM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	RM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
23.1.b.a	$1$	$0.011$	$\Q$	$\Q(\sqrt{-23}) $	None	$-1$	$-1$	$0$	$0$		$q-q^{2}-q^{3}+q^{6}+q^{8}-q^{13}-q^{16}+\cdots$
31.1.b.a	$1$	$0.015$	$\Q$	$\Q(\sqrt{-31}) $	None	$-1$	$0$	$-1$	$-1$		$q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots$
39.1.d.a	$1$	$0.019$	$\Q$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-39}) $	$\Q(\sqrt{13}) $	$0$	$-1$	$0$	$0$		$q-q^{3}-q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots$
44.1.d.a	$1$	$0.022$	$\Q$	$\Q(\sqrt{-11}) $	None	$0$	$-1$	$-1$	$0$		$q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots$
47.1.b.a	$2$	$0.023$	$\Q(\sqrt{5}) $	$\Q(\sqrt{-47}) $	None	$-1$	$-1$	$0$	$-1$		$q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots$
52.1.j.a	$2$	$0.026$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-1}) $	None	$-1$	$0$	$-2$	$0$		$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots$
55.1.d.a	$1$	$0.027$	$\Q$	$\Q(\sqrt{-11}) $, $\Q(\sqrt{-55}) $	$\Q(\sqrt{5}) $	$0$	$0$	$-1$	$0$		$q-q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots$
56.1.h.a	$1$	$0.028$	$\Q$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-14}) $	$\Q(\sqrt{2}) $	$-1$	$0$	$0$	$-1$		$q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots$
57.1.h.a	$2$	$0.028$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$-2$		$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots$
59.1.b.a	$1$	$0.029$	$\Q$	$\Q(\sqrt{-59}) $	None	$0$	$-1$	$-1$	$-1$		$q-q^{3}+q^{4}-q^{5}-q^{7}-q^{12}+q^{15}+\cdots$
63.1.d.a	$1$	$0.031$	$\Q$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-7}) $	$\Q(\sqrt{21}) $	$0$	$0$	$0$	$-1$		$q-q^{4}-q^{7}+q^{16}+q^{25}+q^{28}-2q^{37}+\cdots$
68.1.d.a	$1$	$0.034$	$\Q$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-17}) $	$\Q(\sqrt{17}) $	$-1$	$0$	$0$	$0$		$q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots$
68.1.f.a	$2$	$0.034$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-2$	$0$		$q+iq^{2}-q^{4}+(-1-i)q^{5}-iq^{8}+\cdots$
71.1.b.a	$3$	$0.035$	$\Q(\zeta_{14})^+$	$\Q(\sqrt{-71}) $	None	$-1$	$-1$	$-1$	$0$		$q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots$
72.1.p.a	$2$	$0.036$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-2}) $	None	$-1$	$-1$	$0$	$0$		$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$
76.1.c.a	$1$	$0.038$	$\Q$	$\Q(\sqrt{-19}) $	None	$0$	$0$	$-1$	$-1$		$q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots$
77.1.j.a	$4$	$0.038$	$\Q(\zeta_{10})$	$\Q(\sqrt{-7}) $	None	$-2$	$0$	$0$	$-1$		$q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots$
79.1.b.a	$2$	$0.039$	$\Q(\sqrt{5}) $	$\Q(\sqrt{-79}) $	None	$-1$	$0$	$-1$	$0$		$q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}-q^{8}+\cdots$
80.1.h.a	$1$	$0.040$	$\Q$	$\Q(\sqrt{-1}) $, $\Q(\sqrt{-5}) $	$\Q(\sqrt{5}) $	$0$	$0$	$-1$	$0$		$q-q^{5}-q^{9}+q^{25}+2q^{29}-2q^{41}+\cdots$
83.1.b.a	$1$	$0.041$	$\Q$	$\Q(\sqrt{-83}) $	None	$0$	$-1$	$0$	$-1$		$q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots$
84.1.p.a	$2$	$0.042$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$-1$		$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}-q^{13}+\cdots$
87.1.d.a	$1$	$0.043$	$\Q$	$\Q(\sqrt{-87}) $	None	$-1$	$1$	$0$	$-1$		$q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots$
87.1.d.b	$1$	$0.043$	$\Q$	$\Q(\sqrt{-87}) $	None	$1$	$-1$	$0$	$-1$		$q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots$
88.1.l.a	$4$	$0.044$	$\Q(\zeta_{10})$	$\Q(\sqrt{-2}) $	None	$-1$	$-2$	$0$	$0$		$q-\zeta_{10}q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}^{2}q^{4}+\cdots$
93.1.l.a	$4$	$0.046$	$\Q(\zeta_{10})$	$\Q(\sqrt{-3}) $	None	$0$	$-1$	$0$	$-2$		$q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots$
95.1.d.a	$1$	$0.047$	$\Q$	$\Q(\sqrt{-19}) $, $\Q(\sqrt{-95}) $	$\Q(\sqrt{5}) $	$0$	$0$	$1$	$0$		$q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots$
95.1.d.b	$2$	$0.047$	$\Q(\sqrt{2}) $	$\Q(\sqrt{-95}) $	None	$0$	$0$	$-2$	$0$		$q-\beta q^{2}+\beta q^{3}+q^{4}-q^{5}-2q^{6}+q^{9}+\cdots$
99.1.h.a	$2$	$0.049$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-11}) $	None	$0$	$-1$	$1$	$0$		$q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots$
100.1.j.a	$4$	$0.050$	$\Q(\zeta_{10})$	$\Q(\sqrt{-1}) $	None	$-1$	$0$	$-1$	$0$		$q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{8}+\cdots$
11.2.a.a	$1$	$0.088$	$\Q$	None	None	$-2$	$-1$	$1$	$-2$	$-$	$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots$
13.2.e.a	$2$	$0.104$	$\Q(\sqrt{-3}) $	None	None	$-3$	$-2$	$0$	$0$		$q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$
14.2.a.a	$1$	$0.112$	$\Q$	None	None	$-1$	$-2$	$0$	$1$	$-$	$q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots$
15.2.a.a	$1$	$0.120$	$\Q$	None	None	$-1$	$-1$	$1$	$0$	$-$	$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots$
16.2.e.a	$2$	$0.128$	$\Q(\sqrt{-1}) $	None	None	$-2$	$-2$	$-2$	$0$		$q+(-1-i)q^{2}+(-1+i)q^{3}+2iq^{4}+\cdots$
17.2.a.a	$1$	$0.136$	$\Q$	None	None	$-1$	$0$	$-2$	$4$	$-$	$q-q^{2}-q^{4}-2q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots$
17.2.d.a	$4$	$0.136$	$\Q(\zeta_{8})$	None	None	$-4$	$-4$	$0$	$-4$		$q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots$
18.2.c.a	$2$	$0.144$	$\Q(\sqrt{-3}) $	None	None	$-1$	$-3$	$0$	$-2$		$q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$
19.2.a.a	$1$	$0.152$	$\Q$	None	None	$0$	$-2$	$3$	$-1$	$-$	$q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+3q^{11}+\cdots$
19.2.e.a	$6$	$0.152$	$\Q(\zeta_{18})$	None	None	$-6$	$-3$	$-6$	$0$		$q+(-1+\zeta_{18}-\zeta_{18}^{2})q^{2}+(-1+\zeta_{18}^{2}+\cdots)q^{3}+\cdots$
20.2.a.a	$1$	$0.160$	$\Q$	None	None	$0$	$-2$	$-1$	$2$	$-$	$q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots$
20.2.e.a	$2$	$0.160$	$\Q(\sqrt{-1}) $	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$-4$	$0$		$q+(-1-i)q^{2}+2iq^{4}+(-2+i)q^{5}+\cdots$
21.2.a.a	$1$	$0.168$	$\Q$	None	None	$-1$	$1$	$-2$	$-1$	$-$	$q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$
21.2.e.a	$2$	$0.168$	$\Q(\sqrt{-3}) $	None	None	$-2$	$-1$	$2$	$-5$		$q+(-2+2\zeta_{6})q^{2}-\zeta_{6}q^{3}-2\zeta_{6}q^{4}+\cdots$
21.2.g.a	$2$	$0.168$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-3}) $	None	$0$	$-3$	$0$	$1$		$q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{7}+\cdots$
22.2.c.a	$4$	$0.176$	$\Q(\zeta_{10})$	None	None	$-1$	$-4$	$-6$	$2$		$q-\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots$
23.2.a.a	$2$	$0.184$	$\Q(\sqrt{5}) $	None	None	$-1$	$0$	$-2$	$2$	$-$	$q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots$
23.2.c.a	$10$	$0.184$	$\Q(\zeta_{22})$	None	None	$-7$	$-7$	$-3$	$-5$		$q+(-\zeta_{22}+\zeta_{22}^{4}-\zeta_{22}^{5}+\zeta_{22}^{6}+\cdots)q^{2}+\cdots$
24.2.a.a	$1$	$0.192$	$\Q$	None	None	$0$	$-1$	$-2$	$0$	$-$	$q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$
24.2.d.a	$2$	$0.192$	$\Q(\sqrt{-1}) $	None	None	$-2$	$0$	$0$	$-4$		$q+(-1+i)q^{2}+iq^{3}-2iq^{4}-2iq^{5}+\cdots$
24.2.f.a	$2$	$0.192$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-2}) $	None	$0$	$-2$	$0$	$0$		$q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots$

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Introduction	Features
Universe	News

Label	Dim.	\(A\)	Field	CM	RM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	RM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
23.1.b.a	\(1\)	\(0.011\)	\(\Q\)	\(\Q(\sqrt{-23}) \)	None	\(-1\)	\(-1\)	\(0\)	\(0\)		\(q-q^{2}-q^{3}+q^{6}+q^{8}-q^{13}-q^{16}+\cdots\)
31.1.b.a	\(1\)	\(0.015\)	\(\Q\)	\(\Q(\sqrt{-31}) \)	None	\(-1\)	\(0\)	\(-1\)	\(-1\)		\(q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
39.1.d.a	\(1\)	\(0.019\)	\(\Q\)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \)	\(\Q(\sqrt{13}) \)	\(0\)	\(-1\)	\(0\)	\(0\)		\(q-q^{3}-q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots\)
44.1.d.a	\(1\)	\(0.022\)	\(\Q\)	\(\Q(\sqrt{-11}) \)	None	\(0\)	\(-1\)	\(-1\)	\(0\)		\(q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots\)
47.1.b.a	\(2\)	\(0.023\)	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-47}) \)	None	\(-1\)	\(-1\)	\(0\)	\(-1\)		\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
52.1.j.a	\(2\)	\(0.026\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-1}) \)	None	\(-1\)	\(0\)	\(-2\)	\(0\)		\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
55.1.d.a	\(1\)	\(0.027\)	\(\Q\)	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \)	\(\Q(\sqrt{5}) \)	\(0\)	\(0\)	\(-1\)	\(0\)		\(q-q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots\)
56.1.h.a	\(1\)	\(0.028\)	\(\Q\)	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \)	\(\Q(\sqrt{2}) \)	\(-1\)	\(0\)	\(0\)	\(-1\)		\(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots\)
57.1.h.a	\(2\)	\(0.028\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(-2\)		\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots\)
59.1.b.a	\(1\)	\(0.029\)	\(\Q\)	\(\Q(\sqrt{-59}) \)	None	\(0\)	\(-1\)	\(-1\)	\(-1\)		\(q-q^{3}+q^{4}-q^{5}-q^{7}-q^{12}+q^{15}+\cdots\)
63.1.d.a	\(1\)	\(0.031\)	\(\Q\)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \)	\(\Q(\sqrt{21}) \)	\(0\)	\(0\)	\(0\)	\(-1\)		\(q-q^{4}-q^{7}+q^{16}+q^{25}+q^{28}-2q^{37}+\cdots\)
68.1.d.a	\(1\)	\(0.034\)	\(\Q\)	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \)	\(\Q(\sqrt{17}) \)	\(-1\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots\)
68.1.f.a	\(2\)	\(0.034\)	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q+iq^{2}-q^{4}+(-1-i)q^{5}-iq^{8}+\cdots\)
71.1.b.a	\(3\)	\(0.035\)	\(\Q(\zeta_{14})^+\)	\(\Q(\sqrt{-71}) \)	None	\(-1\)	\(-1\)	\(-1\)	\(0\)		\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
72.1.p.a	\(2\)	\(0.036\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-2}) \)	None	\(-1\)	\(-1\)	\(0\)	\(0\)		\(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\)
76.1.c.a	\(1\)	\(0.038\)	\(\Q\)	\(\Q(\sqrt{-19}) \)	None	\(0\)	\(0\)	\(-1\)	\(-1\)		\(q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
77.1.j.a	\(4\)	\(0.038\)	\(\Q(\zeta_{10})\)	\(\Q(\sqrt{-7}) \)	None	\(-2\)	\(0\)	\(0\)	\(-1\)		\(q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
79.1.b.a	\(2\)	\(0.039\)	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-79}) \)	None	\(-1\)	\(0\)	\(-1\)	\(0\)		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}-q^{8}+\cdots\)
80.1.h.a	\(1\)	\(0.040\)	\(\Q\)	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \)	\(\Q(\sqrt{5}) \)	\(0\)	\(0\)	\(-1\)	\(0\)		\(q-q^{5}-q^{9}+q^{25}+2q^{29}-2q^{41}+\cdots\)
83.1.b.a	\(1\)	\(0.041\)	\(\Q\)	\(\Q(\sqrt{-83}) \)	None	\(0\)	\(-1\)	\(0\)	\(-1\)		\(q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots\)
84.1.p.a	\(2\)	\(0.042\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(-1\)		\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}-q^{13}+\cdots\)
87.1.d.a	\(1\)	\(0.043\)	\(\Q\)	\(\Q(\sqrt{-87}) \)	None	\(-1\)	\(1\)	\(0\)	\(-1\)		\(q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots\)
87.1.d.b	\(1\)	\(0.043\)	\(\Q\)	\(\Q(\sqrt{-87}) \)	None	\(1\)	\(-1\)	\(0\)	\(-1\)		\(q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots\)
88.1.l.a	\(4\)	\(0.044\)	\(\Q(\zeta_{10})\)	\(\Q(\sqrt{-2}) \)	None	\(-1\)	\(-2\)	\(0\)	\(0\)		\(q-\zeta_{10}q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}^{2}q^{4}+\cdots\)
93.1.l.a	\(4\)	\(0.046\)	\(\Q(\zeta_{10})\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-1\)	\(0\)	\(-2\)		\(q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots\)
95.1.d.a	\(1\)	\(0.047\)	\(\Q\)	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \)	\(\Q(\sqrt{5}) \)	\(0\)	\(0\)	\(1\)	\(0\)		\(q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots\)
95.1.d.b	\(2\)	\(0.047\)	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-95}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q-\beta q^{2}+\beta q^{3}+q^{4}-q^{5}-2q^{6}+q^{9}+\cdots\)
99.1.h.a	\(2\)	\(0.049\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-11}) \)	None	\(0\)	\(-1\)	\(1\)	\(0\)		\(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
100.1.j.a	\(4\)	\(0.050\)	\(\Q(\zeta_{10})\)	\(\Q(\sqrt{-1}) \)	None	\(-1\)	\(0\)	\(-1\)	\(0\)		\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{8}+\cdots\)
11.2.a.a	\(1\)	\(0.088\)	\(\Q\)	None	None	\(-2\)	\(-1\)	\(1\)	\(-2\)	\(-\)	\(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots\)
13.2.e.a	\(2\)	\(0.104\)	\(\Q(\sqrt{-3}) \)	None	None	\(-3\)	\(-2\)	\(0\)	\(0\)		\(q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots\)
14.2.a.a	\(1\)	\(0.112\)	\(\Q\)	None	None	\(-1\)	\(-2\)	\(0\)	\(1\)	\(-\)	\(q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots\)
15.2.a.a	\(1\)	\(0.120\)	\(\Q\)	None	None	\(-1\)	\(-1\)	\(1\)	\(0\)	\(-\)	\(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots\)
16.2.e.a	\(2\)	\(0.128\)	\(\Q(\sqrt{-1}) \)	None	None	\(-2\)	\(-2\)	\(-2\)	\(0\)		\(q+(-1-i)q^{2}+(-1+i)q^{3}+2iq^{4}+\cdots\)
17.2.a.a	\(1\)	\(0.136\)	\(\Q\)	None	None	\(-1\)	\(0\)	\(-2\)	\(4\)	\(-\)	\(q-q^{2}-q^{4}-2q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots\)
17.2.d.a	\(4\)	\(0.136\)	\(\Q(\zeta_{8})\)	None	None	\(-4\)	\(-4\)	\(0\)	\(-4\)		\(q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots\)
18.2.c.a	\(2\)	\(0.144\)	\(\Q(\sqrt{-3}) \)	None	None	\(-1\)	\(-3\)	\(0\)	\(-2\)		\(q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
19.2.a.a	\(1\)	\(0.152\)	\(\Q\)	None	None	\(0\)	\(-2\)	\(3\)	\(-1\)	\(-\)	\(q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+3q^{11}+\cdots\)
19.2.e.a	\(6\)	\(0.152\)	\(\Q(\zeta_{18})\)	None	None	\(-6\)	\(-3\)	\(-6\)	\(0\)		\(q+(-1+\zeta_{18}-\zeta_{18}^{2})q^{2}+(-1+\zeta_{18}^{2}+\cdots)q^{3}+\cdots\)
20.2.a.a	\(1\)	\(0.160\)	\(\Q\)	None	None	\(0\)	\(-2\)	\(-1\)	\(2\)	\(-\)	\(q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots\)
20.2.e.a	\(2\)	\(0.160\)	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(-4\)	\(0\)		\(q+(-1-i)q^{2}+2iq^{4}+(-2+i)q^{5}+\cdots\)
21.2.a.a	\(1\)	\(0.168\)	\(\Q\)	None	None	\(-1\)	\(1\)	\(-2\)	\(-1\)	\(-\)	\(q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
21.2.e.a	\(2\)	\(0.168\)	\(\Q(\sqrt{-3}) \)	None	None	\(-2\)	\(-1\)	\(2\)	\(-5\)		\(q+(-2+2\zeta_{6})q^{2}-\zeta_{6}q^{3}-2\zeta_{6}q^{4}+\cdots\)
21.2.g.a	\(2\)	\(0.168\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(-3\)	\(0\)	\(1\)		\(q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{7}+\cdots\)
22.2.c.a	\(4\)	\(0.176\)	\(\Q(\zeta_{10})\)	None	None	\(-1\)	\(-4\)	\(-6\)	\(2\)		\(q-\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots\)
23.2.a.a	\(2\)	\(0.184\)	\(\Q(\sqrt{5}) \)	None	None	\(-1\)	\(0\)	\(-2\)	\(2\)	\(-\)	\(q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
23.2.c.a	\(10\)	\(0.184\)	\(\Q(\zeta_{22})\)	None	None	\(-7\)	\(-7\)	\(-3\)	\(-5\)		\(q+(-\zeta_{22}+\zeta_{22}^{4}-\zeta_{22}^{5}+\zeta_{22}^{6}+\cdots)q^{2}+\cdots\)
24.2.a.a	\(1\)	\(0.192\)	\(\Q\)	None	None	\(0\)	\(-1\)	\(-2\)	\(0\)	\(-\)	\(q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
24.2.d.a	\(2\)	\(0.192\)	\(\Q(\sqrt{-1}) \)	None	None	\(-2\)	\(0\)	\(0\)	\(-4\)		\(q+(-1+i)q^{2}+iq^{3}-2iq^{4}-2iq^{5}+\cdots\)
24.2.f.a	\(2\)	\(0.192\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-2}) \)	None	\(0\)	\(-2\)	\(0\)	\(0\)		\(q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots\)

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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.