LMFDB - Newform Search Results

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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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Results (displaying matches 1-50 of 104) Next

Label	Dim.	$A$	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
2310.2.a.a	$1$	$18.445$	$\Q$	None	$-1$	$-1$	$-1$	$-1$	$+$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.b	$1$	$18.445$	$\Q$	None	$-1$	$-1$	$-1$	$-1$	$-$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.c	$1$	$18.445$	$\Q$	None	$-1$	$-1$	$-1$	$1$	$+$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.d	$1$	$18.445$	$\Q$	None	$-1$	$-1$	$1$	$1$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.e	$1$	$18.445$	$\Q$	None	$-1$	$1$	$-1$	$-1$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.f	$1$	$18.445$	$\Q$	None	$-1$	$1$	$-1$	$-1$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.g	$1$	$18.445$	$\Q$	None	$-1$	$1$	$-1$	$1$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.h	$1$	$18.445$	$\Q$	None	$-1$	$1$	$-1$	$1$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.i	$1$	$18.445$	$\Q$	None	$-1$	$1$	$-1$	$1$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.j	$1$	$18.445$	$\Q$	None	$-1$	$1$	$1$	$-1$	$+$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.k	$1$	$18.445$	$\Q$	None	$-1$	$1$	$1$	$-1$	$+$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.l	$1$	$18.445$	$\Q$	None	$-1$	$1$	$1$	$1$	$-$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.m	$1$	$18.445$	$\Q$	None	$1$	$-1$	$-1$	$-1$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.n	$1$	$18.445$	$\Q$	None	$1$	$-1$	$1$	$-1$	$+$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.o	$1$	$18.445$	$\Q$	None	$1$	$-1$	$1$	$1$	$-$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.p	$1$	$18.445$	$\Q$	None	$1$	$-1$	$1$	$1$	$-$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.q	$1$	$18.445$	$\Q$	None	$1$	$1$	$-1$	$-1$	$+$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.r	$1$	$18.445$	$\Q$	None	$1$	$1$	$-1$	$-1$	$-$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.s	$1$	$18.445$	$\Q$	None	$1$	$1$	$-1$	$-1$	$-$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.t	$1$	$18.445$	$\Q$	None	$1$	$1$	$-1$	$1$	$-$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.u	$1$	$18.445$	$\Q$	None	$1$	$1$	$-1$	$1$	$-$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.v	$1$	$18.445$	$\Q$	None	$1$	$1$	$1$	$-1$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.w	$2$	$18.445$	$\Q(\sqrt{3}) $	None	$-2$	$-2$	$-2$	$2$	$-$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.x	$2$	$18.445$	$\Q(\sqrt{33}) $	None	$-2$	$-2$	$2$	$-2$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
2310.2.a.y	$2$	$18.445$	$\Q(\sqrt{33}) $	None	$-2$	$-2$	$2$	$2$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2310.2.a.z	$2$	$18.445$	$\Q(\sqrt{3}) $	None	$-2$	$2$	$2$	$-2$	$-$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.ba	$2$	$18.445$	$\Q(\sqrt{2}) $	None	$2$	$-2$	$-2$	$-2$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.bb	$2$	$18.445$	$\Q(\sqrt{3}) $	None	$2$	$-2$	$-2$	$2$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2310.2.a.bc	$2$	$18.445$	$\Q(\sqrt{17}) $	None	$2$	$-2$	$2$	$-2$	$-$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2310.2.a.bd	$3$	$18.445$	3.3.148.1	None	$3$	$3$	$3$	$3$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2310.2.d.a	$24$	$18.445$		None	$-24$	$-24$	$-2$	$-2$
2310.2.d.b	$24$	$18.445$		None	$-24$	$24$	$2$	$-2$
2310.2.d.c	$24$	$18.445$		None	$24$	$-24$	$-2$	$2$
2310.2.d.d	$24$	$18.445$		None	$24$	$24$	$2$	$2$
2310.2.e.a	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$0$		$q+iq^{2}+iq^{3}-q^{4}+(-2+i)q^{5}+\cdots$
2310.2.e.b	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$0$		$q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots$
2310.2.e.c	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-2$	$0$		$q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$
2310.2.e.d	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-2$	$0$		$q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$
2310.2.e.e	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$2$	$0$		$q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots$
2310.2.e.f	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$0$		$q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots$
2310.2.e.g	$2$	$18.445$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$0$		$q+iq^{2}-iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots$
2310.2.e.h	$4$	$18.445$	$\Q(i, \sqrt{5})$	None	$0$	$0$	$0$	$0$		$q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{3}q^{5}-q^{6}+\cdots$
2310.2.e.i	$6$	$18.445$	6.0.350464.1	None	$0$	$0$	$0$	$0$		$q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{5}-q^{6}+\cdots$
2310.2.e.j	$6$	$18.445$	6.0.350464.1	None	$0$	$0$	$0$	$0$		$q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}-q^{6}+\cdots$
2310.2.e.k	$6$	$18.445$	6.0.350464.1	None	$0$	$0$	$0$	$0$		$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{4}q^{5}+q^{6}+\cdots$
2310.2.e.l	$6$	$18.445$	6.0.350464.1	None	$0$	$0$	$0$	$0$		$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}+q^{6}+\cdots$
2310.2.e.m	$6$	$18.445$	6.0.350464.1	None	$0$	$0$	$2$	$0$		$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{5}q^{5}+q^{6}+\cdots$
2310.2.e.n	$8$	$18.445$	8.0.110166016.2	None	$0$	$0$	$-4$	$0$		$q+\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
2310.2.e.o	$8$	$18.445$	8.0.309760000.3	None	$0$	$0$	$4$	$0$		$q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{7}q^{5}-q^{6}+\cdots$
2310.2.g.a	$4$	$18.445$	$\Q(\zeta_{8})$	None	$-4$	$-4$	$0$	$0$		$q-q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}+q^{4}+\cdots$

Introduction	Features
Universe	News

Label	Dim.	\(A\)	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
2310.2.a.a	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(-1\)	\(-1\)	\(-1\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.b	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(-1\)	\(-1\)	\(-1\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.c	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(-1\)	\(-1\)	\(1\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.d	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(-1\)	\(1\)	\(1\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.e	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(-1\)	\(-1\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.f	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(-1\)	\(-1\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.g	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(-1\)	\(1\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.h	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(-1\)	\(1\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.i	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(-1\)	\(1\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.j	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(1\)	\(-1\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.k	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(1\)	\(-1\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.l	\(1\)	\(18.445\)	\(\Q\)	None	\(-1\)	\(1\)	\(1\)	\(1\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.m	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(-1\)	\(-1\)	\(-1\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.n	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(-1\)	\(1\)	\(-1\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.o	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(-1\)	\(1\)	\(1\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.p	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(-1\)	\(1\)	\(1\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.q	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(1\)	\(-1\)	\(-1\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.r	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(1\)	\(-1\)	\(-1\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.s	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(1\)	\(-1\)	\(-1\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.t	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(1\)	\(-1\)	\(1\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.u	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(1\)	\(-1\)	\(1\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.v	\(1\)	\(18.445\)	\(\Q\)	None	\(1\)	\(1\)	\(1\)	\(-1\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.w	\(2\)	\(18.445\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(-2\)	\(-2\)	\(2\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.x	\(2\)	\(18.445\)	\(\Q(\sqrt{33}) \)	None	\(-2\)	\(-2\)	\(2\)	\(-2\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.y	\(2\)	\(18.445\)	\(\Q(\sqrt{33}) \)	None	\(-2\)	\(-2\)	\(2\)	\(2\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.z	\(2\)	\(18.445\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(2\)	\(2\)	\(-2\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.ba	\(2\)	\(18.445\)	\(\Q(\sqrt{2}) \)	None	\(2\)	\(-2\)	\(-2\)	\(-2\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.bb	\(2\)	\(18.445\)	\(\Q(\sqrt{3}) \)	None	\(2\)	\(-2\)	\(-2\)	\(2\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.bc	\(2\)	\(18.445\)	\(\Q(\sqrt{17}) \)	None	\(2\)	\(-2\)	\(2\)	\(-2\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.bd	\(3\)	\(18.445\)	3.3.148.1	None	\(3\)	\(3\)	\(3\)	\(3\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.d.a	\(24\)	\(18.445\)		None	\(-24\)	\(-24\)	\(-2\)	\(-2\)
2310.2.d.b	\(24\)	\(18.445\)		None	\(-24\)	\(24\)	\(2\)	\(-2\)
2310.2.d.c	\(24\)	\(18.445\)		None	\(24\)	\(-24\)	\(-2\)	\(2\)
2310.2.d.d	\(24\)	\(18.445\)		None	\(24\)	\(24\)	\(2\)	\(2\)
2310.2.e.a	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(0\)		\(q+iq^{2}+iq^{3}-q^{4}+(-2+i)q^{5}+\cdots\)
2310.2.e.b	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(0\)		\(q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
2310.2.e.c	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
2310.2.e.d	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
2310.2.e.e	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(2\)	\(0\)		\(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
2310.2.e.f	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)		\(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
2310.2.e.g	\(2\)	\(18.445\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)		\(q+iq^{2}-iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots\)
2310.2.e.h	\(4\)	\(18.445\)	\(\Q(i, \sqrt{5})\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{3}q^{5}-q^{6}+\cdots\)
2310.2.e.i	\(6\)	\(18.445\)	6.0.350464.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{5}-q^{6}+\cdots\)
2310.2.e.j	\(6\)	\(18.445\)	6.0.350464.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}-q^{6}+\cdots\)
2310.2.e.k	\(6\)	\(18.445\)	6.0.350464.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{4}q^{5}+q^{6}+\cdots\)
2310.2.e.l	\(6\)	\(18.445\)	6.0.350464.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}+q^{6}+\cdots\)
2310.2.e.m	\(6\)	\(18.445\)	6.0.350464.1	None	\(0\)	\(0\)	\(2\)	\(0\)		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{5}q^{5}+q^{6}+\cdots\)
2310.2.e.n	\(8\)	\(18.445\)	8.0.110166016.2	None	\(0\)	\(0\)	\(-4\)	\(0\)		\(q+\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
2310.2.e.o	\(8\)	\(18.445\)	8.0.309760000.3	None	\(0\)	\(0\)	\(4\)	\(0\)		\(q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{7}q^{5}-q^{6}+\cdots\)
2310.2.g.a	\(4\)	\(18.445\)	\(\Q(\zeta_{8})\)	None	\(-4\)	\(-4\)	\(0\)	\(0\)		\(q-q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}+q^{4}+\cdots\)

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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.