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 68 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	5	37	$q$-expansion
5550.2.a.a	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$-4$	$+$	$+$	$-$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots$
5550.2.a.b	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$-4$	$+$	$+$	$+$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots$
5550.2.a.c	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$-2$	$+$	$+$	$-$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots$
5550.2.a.d	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$-1$	$+$	$+$	$-$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
5550.2.a.e	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
5550.2.a.f	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$0$	$+$	$+$	$-$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
5550.2.a.g	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$1$	$+$	$+$	$+$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$
5550.2.a.h	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$1$	$+$	$+$	$+$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$
5550.2.a.i	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$2$	$+$	$+$	$+$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots$
5550.2.a.j	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$2$	$+$	$+$	$-$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots$
5550.2.a.k	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$5$	$+$	$+$	$+$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{6}+5q^{7}-q^{8}+\cdots$
5550.2.a.l	$1$	$44.317$	$\Q$	None	$-1$	$-1$	$0$	$5$	$+$	$+$	$-$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}+5q^{7}-q^{8}+\cdots$
5550.2.a.m	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$-3$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots$
5550.2.a.n	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$-3$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots$
5550.2.a.o	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$-2$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots$
5550.2.a.p	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$-2$	$+$	$-$	$-$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots$
5550.2.a.q	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
5550.2.a.r	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
5550.2.a.s	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$2$	$+$	$-$	$-$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots$
5550.2.a.t	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$3$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{6}+3q^{7}-q^{8}+\cdots$
5550.2.a.u	$1$	$44.317$	$\Q$	None	$-1$	$1$	$0$	$4$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots$
5550.2.a.v	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$-4$	$-$	$+$	$+$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$
5550.2.a.w	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$-4$	$-$	$+$	$+$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$
5550.2.a.x	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$-2$	$-$	$+$	$+$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots$
5550.2.a.y	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$-1$	$-$	$+$	$+$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
5550.2.a.z	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$1$	$-$	$+$	$+$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
5550.2.a.ba	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$1$	$-$	$+$	$+$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$
5550.2.a.bb	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$2$	$-$	$+$	$+$	$-$	$q+q^{2}-q^{3}+q^{4}-q^{6}+2q^{7}+q^{8}+\cdots$
5550.2.a.bc	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$2$	$-$	$+$	$-$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}+2q^{7}+q^{8}+\cdots$
5550.2.a.bd	$1$	$44.317$	$\Q$	None	$1$	$-1$	$0$	$4$	$-$	$+$	$+$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots$
5550.2.a.be	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-5$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}-5q^{7}+q^{8}+\cdots$
5550.2.a.bf	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-3$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots$
5550.2.a.bg	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-3$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots$
5550.2.a.bh	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-3$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots$
5550.2.a.bi	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-2$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots$
5550.2.a.bj	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-2$	$-$	$-$	$-$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots$
5550.2.a.bk	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$-1$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
5550.2.a.bl	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$0$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
5550.2.a.bm	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$0$	$-$	$-$	$+$	$+$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
5550.2.a.bn	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$0$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
5550.2.a.bo	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$1$	$-$	$-$	$-$	$+$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$
5550.2.a.bp	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$2$	$-$	$-$	$-$	$+$	$q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots$
5550.2.a.bq	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$4$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots$
5550.2.a.br	$1$	$44.317$	$\Q$	None	$1$	$1$	$0$	$4$	$-$	$-$	$+$	$-$	$q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots$
5550.2.a.bs	$2$	$44.317$	$\Q(\sqrt{2}) $	None	$-2$	$-2$	$0$	$-2$	$+$	$+$	$-$	$+$	$q-q^{2}-q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots$
5550.2.a.bt	$2$	$44.317$	$\Q(\sqrt{6}) $	None	$-2$	$-2$	$0$	$-2$	$+$	$+$	$-$	$-$	$q-q^{2}-q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots$
5550.2.a.bu	$2$	$44.317$	$\Q(\sqrt{5}) $	None	$-2$	$2$	$0$	$-4$	$+$	$-$	$-$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots$
5550.2.a.bv	$2$	$44.317$	$\Q(\sqrt{33}) $	None	$-2$	$2$	$0$	$0$	$+$	$-$	$+$	$-$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
5550.2.a.bw	$2$	$44.317$	$\Q(\sqrt{17}) $	None	$-2$	$2$	$0$	$2$	$+$	$-$	$+$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
5550.2.a.bx	$2$	$44.317$	$\Q(\sqrt{113}) $	None	$2$	$-2$	$0$	$-6$	$-$	$+$	$+$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}-3q^{7}+q^{8}+\cdots$

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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	5	37	$q$-expansion
5550.2.a.a	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(-4\)	\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
5550.2.a.b	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(-4\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
5550.2.a.c	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
5550.2.a.d	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(-1\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
5550.2.a.e	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(0\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
5550.2.a.f	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(0\)	\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
5550.2.a.g	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(1\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
5550.2.a.h	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(1\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
5550.2.a.i	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(2\)	\(+\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
5550.2.a.j	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(2\)	\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
5550.2.a.k	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(5\)	\(+\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+5q^{7}-q^{8}+\cdots\)
5550.2.a.l	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(5\)	\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+5q^{7}-q^{8}+\cdots\)
5550.2.a.m	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(-3\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
5550.2.a.n	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(-3\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
5550.2.a.o	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(-2\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
5550.2.a.p	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(-2\)	\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
5550.2.a.q	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(0\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
5550.2.a.r	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(0\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
5550.2.a.s	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(2\)	\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
5550.2.a.t	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(3\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}+3q^{7}-q^{8}+\cdots\)
5550.2.a.u	\(1\)	\(44.317\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(4\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots\)
5550.2.a.v	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(-4\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
5550.2.a.w	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(-4\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
5550.2.a.x	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(-2\)	\(-\)	\(+\)	\(+\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
5550.2.a.y	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(-1\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
5550.2.a.z	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(1\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
5550.2.a.ba	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(1\)	\(-\)	\(+\)	\(+\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
5550.2.a.bb	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(2\)	\(-\)	\(+\)	\(+\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}+2q^{7}+q^{8}+\cdots\)
5550.2.a.bc	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(2\)	\(-\)	\(+\)	\(-\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}+2q^{7}+q^{8}+\cdots\)
5550.2.a.bd	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(4\)	\(-\)	\(+\)	\(+\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots\)
5550.2.a.be	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-5\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-5q^{7}+q^{8}+\cdots\)
5550.2.a.bf	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots\)
5550.2.a.bg	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots\)
5550.2.a.bh	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots\)
5550.2.a.bi	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-2\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
5550.2.a.bj	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-2\)	\(-\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
5550.2.a.bk	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
5550.2.a.bl	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(0\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
5550.2.a.bm	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(0\)	\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
5550.2.a.bn	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(0\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
5550.2.a.bo	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(1\)	\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
5550.2.a.bp	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(2\)	\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
5550.2.a.bq	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(4\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots\)
5550.2.a.br	\(1\)	\(44.317\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(4\)	\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots\)
5550.2.a.bs	\(2\)	\(44.317\)	\(\Q(\sqrt{2}) \)	None	\(-2\)	\(-2\)	\(0\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots\)
5550.2.a.bt	\(2\)	\(44.317\)	\(\Q(\sqrt{6}) \)	None	\(-2\)	\(-2\)	\(0\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots\)
5550.2.a.bu	\(2\)	\(44.317\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(2\)	\(0\)	\(-4\)	\(+\)	\(-\)	\(-\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
5550.2.a.bv	\(2\)	\(44.317\)	\(\Q(\sqrt{33}) \)	None	\(-2\)	\(2\)	\(0\)	\(0\)	\(+\)	\(-\)	\(+\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
5550.2.a.bw	\(2\)	\(44.317\)	\(\Q(\sqrt{17}) \)	None	\(-2\)	\(2\)	\(0\)	\(2\)	\(+\)	\(-\)	\(+\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
5550.2.a.bx	\(2\)	\(44.317\)	\(\Q(\sqrt{113}) \)	None	\(2\)	\(-2\)	\(0\)	\(-6\)	\(-\)	\(+\)	\(+\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-3q^{7}+q^{8}+\cdots\)

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L-functions

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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.