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-twist	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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Results (1-50 of 55 matches)

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Label	Dim.	$A$	Field	CM	Traces				A-L signs				$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	2	3	7	41	$q$-expansion
5166.2.a.a	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-4$	$-1$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots$
5166.2.a.b	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-4$	$-1$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots$
5166.2.a.c	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-2$	$-1$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots$
5166.2.a.d	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-2$	$-1$	$+$	$+$	$+$	$+$	$q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots$
5166.2.a.e	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-2$	$1$	$+$	$+$	$-$	$-$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
5166.2.a.f	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-1$	$-1$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
5166.2.a.g	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-1$	$-1$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
5166.2.a.h	$1$	$41.251$	$\Q$	None	$-1$	$0$	$-1$	$1$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$
5166.2.a.i	$1$	$41.251$	$\Q$	None	$-1$	$0$	$0$	$-1$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}-6q^{13}+\cdots$
5166.2.a.j	$1$	$41.251$	$\Q$	None	$-1$	$0$	$0$	$1$	$+$	$-$	$-$	$-$	$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-4q^{13}+\cdots$
5166.2.a.k	$1$	$41.251$	$\Q$	None	$-1$	$0$	$1$	$-1$	$+$	$+$	$+$	$+$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
5166.2.a.l	$1$	$41.251$	$\Q$	None	$-1$	$0$	$1$	$-1$	$+$	$+$	$+$	$+$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
5166.2.a.m	$1$	$41.251$	$\Q$	None	$-1$	$0$	$1$	$-1$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$
5166.2.a.n	$1$	$41.251$	$\Q$	None	$-1$	$0$	$1$	$1$	$+$	$+$	$-$	$-$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
5166.2.a.o	$1$	$41.251$	$\Q$	None	$-1$	$0$	$1$	$1$	$+$	$-$	$-$	$-$	$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$
5166.2.a.p	$1$	$41.251$	$\Q$	None	$-1$	$0$	$2$	$1$	$+$	$-$	$-$	$-$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
5166.2.a.q	$1$	$41.251$	$\Q$	None	$-1$	$0$	$3$	$-1$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots$
5166.2.a.r	$1$	$41.251$	$\Q$	None	$-1$	$0$	$3$	$1$	$+$	$+$	$-$	$-$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
5166.2.a.s	$1$	$41.251$	$\Q$	None	$-1$	$0$	$4$	$-1$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-4q^{10}+\cdots$
5166.2.a.t	$1$	$41.251$	$\Q$	None	$-1$	$0$	$4$	$1$	$+$	$-$	$-$	$-$	$q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots$
5166.2.a.u	$1$	$41.251$	$\Q$	None	$1$	$0$	$-4$	$1$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots$
5166.2.a.v	$1$	$41.251$	$\Q$	None	$1$	$0$	$-4$	$1$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots$
5166.2.a.w	$1$	$41.251$	$\Q$	None	$1$	$0$	$-3$	$-1$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{4}-3q^{5}-q^{7}+q^{8}-3q^{10}+\cdots$
5166.2.a.x	$1$	$41.251$	$\Q$	None	$1$	$0$	$-3$	$1$	$-$	$+$	$-$	$+$	$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$
5166.2.a.y	$1$	$41.251$	$\Q$	None	$1$	$0$	$-3$	$1$	$-$	$-$	$-$	$+$	$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$
5166.2.a.z	$1$	$41.251$	$\Q$	None	$1$	$0$	$-2$	$1$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots$
5166.2.a.ba	$1$	$41.251$	$\Q$	None	$1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$-$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
5166.2.a.bb	$1$	$41.251$	$\Q$	None	$1$	$0$	$-1$	$-1$	$-$	$+$	$+$	$-$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
5166.2.a.bc	$1$	$41.251$	$\Q$	None	$1$	$0$	$-1$	$-1$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$
5166.2.a.bd	$1$	$41.251$	$\Q$	None	$1$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
5166.2.a.be	$1$	$41.251$	$\Q$	None	$1$	$0$	$-1$	$1$	$-$	$+$	$-$	$+$	$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$
5166.2.a.bf	$1$	$41.251$	$\Q$	None	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{4}-q^{7}+q^{8}-5q^{11}+4q^{13}+\cdots$
5166.2.a.bg	$1$	$41.251$	$\Q$	None	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
5166.2.a.bh	$1$	$41.251$	$\Q$	None	$1$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$
5166.2.a.bi	$1$	$41.251$	$\Q$	None	$1$	$0$	$2$	$-1$	$-$	$+$	$+$	$-$	$q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots$
5166.2.a.bj	$1$	$41.251$	$\Q$	None	$1$	$0$	$2$	$-1$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots$
5166.2.a.bk	$1$	$41.251$	$\Q$	None	$1$	$0$	$2$	$1$	$-$	$+$	$-$	$+$	$q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots$
5166.2.a.bl	$1$	$41.251$	$\Q$	None	$1$	$0$	$3$	$-1$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{4}+3q^{5}-q^{7}+q^{8}+3q^{10}+\cdots$
5166.2.a.bm	$1$	$41.251$	$\Q$	None	$1$	$0$	$3$	$1$	$-$	$-$	$-$	$+$	$q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots$
5166.2.a.bn	$2$	$41.251$	$\Q(\sqrt{17}) $	None	$-2$	$0$	$-3$	$2$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{4}+(-1-\beta )q^{5}+q^{7}-q^{8}+\cdots$
5166.2.a.bo	$2$	$41.251$	$\Q(\sqrt{3}) $	None	$-2$	$0$	$-2$	$2$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots$
5166.2.a.bp	$2$	$41.251$	$\Q(\sqrt{33}) $	None	$-2$	$0$	$1$	$2$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots$
5166.2.a.bq	$2$	$41.251$	$\Q(\sqrt{17}) $	None	$-2$	$0$	$3$	$-2$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots$
5166.2.a.br	$2$	$41.251$	$\Q(\sqrt{17}) $	None	$2$	$0$	$2$	$-2$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
5166.2.a.bs	$2$	$41.251$	$\Q(\sqrt{7}) $	None	$2$	$0$	$2$	$-2$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}+q^{8}+\cdots$
5166.2.a.bt	$3$	$41.251$	3.3.568.1	None	$-3$	$0$	$-1$	$-3$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{4}-\beta _{1}q^{5}-q^{7}-q^{8}+\beta _{1}q^{10}+\cdots$
5166.2.a.bu	$3$	$41.251$	3.3.940.1	None	$3$	$0$	$-2$	$-3$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{4}+(-1-\beta _{2})q^{5}-q^{7}+q^{8}+\cdots$
5166.2.a.bv	$3$	$41.251$	3.3.316.1	None	$3$	$0$	$2$	$3$	$-$	$-$	$-$	$+$	$q+q^{2}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+q^{7}+\cdots$
5166.2.a.bw	$3$	$41.251$	3.3.940.1	None	$3$	$0$	$3$	$3$	$-$	$-$	$-$	$+$	$q+q^{2}+q^{4}+(1+\beta _{1})q^{5}+q^{7}+q^{8}+\cdots$
5166.2.a.bx	$4$	$41.251$	4.4.11348.1	None	$4$	$0$	$-3$	$-4$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{4}+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+\cdots$

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Elliptic curves over $\Q$
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Higher genus families
Abelian varieties over $\F_{q}$

Label	Dim.	\(A\)	Field	CM	Traces				A-L signs				$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	2	3	7	41	$q$-expansion
5166.2.a.a	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-4\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots\)
5166.2.a.b	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-4\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots\)
5166.2.a.c	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-2\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots\)
5166.2.a.d	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-2\)	\(-1\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots\)
5166.2.a.e	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-2\)	\(1\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots\)
5166.2.a.f	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
5166.2.a.g	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
5166.2.a.h	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(1\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
5166.2.a.i	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(0\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}-6q^{13}+\cdots\)
5166.2.a.j	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(0\)	\(1\)	\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-4q^{13}+\cdots\)
5166.2.a.k	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(-1\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
5166.2.a.l	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(-1\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
5166.2.a.m	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
5166.2.a.n	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(1\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
5166.2.a.o	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(1\)	\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
5166.2.a.p	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(2\)	\(1\)	\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
5166.2.a.q	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(3\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+3q^{5}-q^{7}-q^{8}-3q^{10}+\cdots\)
5166.2.a.r	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(3\)	\(1\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots\)
5166.2.a.s	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(4\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-4q^{10}+\cdots\)
5166.2.a.t	\(1\)	\(41.251\)	\(\Q\)	None	\(-1\)	\(0\)	\(4\)	\(1\)	\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots\)
5166.2.a.u	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-4\)	\(1\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots\)
5166.2.a.v	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-4\)	\(1\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-4q^{10}+\cdots\)
5166.2.a.w	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-3\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}-3q^{5}-q^{7}+q^{8}-3q^{10}+\cdots\)
5166.2.a.x	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-3\)	\(1\)	\(-\)	\(+\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots\)
5166.2.a.y	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-3\)	\(1\)	\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots\)
5166.2.a.z	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-2\)	\(1\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots\)
5166.2.a.ba	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(-1\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
5166.2.a.bb	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(-1\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
5166.2.a.bc	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
5166.2.a.bd	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(1\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
5166.2.a.be	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(1\)	\(-\)	\(+\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
5166.2.a.bf	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(0\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{4}-q^{7}+q^{8}-5q^{11}+4q^{13}+\cdots\)
5166.2.a.bg	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(1\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
5166.2.a.bh	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(1\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
5166.2.a.bi	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(2\)	\(-1\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots\)
5166.2.a.bj	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(2\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots\)
5166.2.a.bk	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(2\)	\(1\)	\(-\)	\(+\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
5166.2.a.bl	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(3\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}+3q^{5}-q^{7}+q^{8}+3q^{10}+\cdots\)
5166.2.a.bm	\(1\)	\(41.251\)	\(\Q\)	None	\(1\)	\(0\)	\(3\)	\(1\)	\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots\)
5166.2.a.bn	\(2\)	\(41.251\)	\(\Q(\sqrt{17}) \)	None	\(-2\)	\(0\)	\(-3\)	\(2\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+(-1-\beta )q^{5}+q^{7}-q^{8}+\cdots\)
5166.2.a.bo	\(2\)	\(41.251\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(0\)	\(-2\)	\(2\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots\)
5166.2.a.bp	\(2\)	\(41.251\)	\(\Q(\sqrt{33}) \)	None	\(-2\)	\(0\)	\(1\)	\(2\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots\)
5166.2.a.bq	\(2\)	\(41.251\)	\(\Q(\sqrt{17}) \)	None	\(-2\)	\(0\)	\(3\)	\(-2\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
5166.2.a.br	\(2\)	\(41.251\)	\(\Q(\sqrt{17}) \)	None	\(2\)	\(0\)	\(2\)	\(-2\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
5166.2.a.bs	\(2\)	\(41.251\)	\(\Q(\sqrt{7}) \)	None	\(2\)	\(0\)	\(2\)	\(-2\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}+q^{8}+\cdots\)
5166.2.a.bt	\(3\)	\(41.251\)	3.3.568.1	None	\(-3\)	\(0\)	\(-1\)	\(-3\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}-\beta _{1}q^{5}-q^{7}-q^{8}+\beta _{1}q^{10}+\cdots\)
5166.2.a.bu	\(3\)	\(41.251\)	3.3.940.1	None	\(3\)	\(0\)	\(-2\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}+(-1-\beta _{2})q^{5}-q^{7}+q^{8}+\cdots\)
5166.2.a.bv	\(3\)	\(41.251\)	3.3.316.1	None	\(3\)	\(0\)	\(2\)	\(3\)	\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+q^{7}+\cdots\)
5166.2.a.bw	\(3\)	\(41.251\)	3.3.940.1	None	\(3\)	\(0\)	\(3\)	\(3\)	\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}+(1+\beta _{1})q^{5}+q^{7}+q^{8}+\cdots\)
5166.2.a.bx	\(4\)	\(41.251\)	4.4.11348.1	None	\(4\)	\(0\)	\(-3\)	\(-4\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{4}+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+\cdots\)

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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.