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 (displaying matches 1-50 of 149) Next

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	$q$-expansion
4800.2.a.a	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-5$	$-$	$+$	$+$	$q-q^{3}-5q^{7}+q^{9}-6q^{11}-3q^{13}+\cdots$
4800.2.a.b	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-5$	$+$	$+$	$-$	$q-q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots$
4800.2.a.c	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-4$	$-$	$+$	$-$	$q-q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots$
4800.2.a.d	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-4$	$-$	$+$	$+$	$q-q^{3}-4q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots$
4800.2.a.e	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-4$	$-$	$+$	$-$	$q-q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots$
4800.2.a.f	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-4$	$+$	$+$	$+$	$q-q^{3}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots$
4800.2.a.g	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-3$	$-$	$+$	$-$	$q-q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots$
4800.2.a.h	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-3$	$+$	$+$	$-$	$q-q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots$
4800.2.a.i	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-3$	$+$	$+$	$+$	$q-q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots$
4800.2.a.j	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-3$	$-$	$+$	$+$	$q-q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots$
4800.2.a.k	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-2$	$+$	$+$	$-$	$q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$
4800.2.a.l	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-2$	$+$	$+$	$-$	$q-q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots$
4800.2.a.m	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-2$	$-$	$+$	$-$	$q-q^{3}-2q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots$
4800.2.a.n	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-2$	$-$	$+$	$-$	$q-q^{3}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$
4800.2.a.o	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-1$	$+$	$+$	$-$	$q-q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots$
4800.2.a.p	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$-1$	$-$	$+$	$+$	$q-q^{3}-q^{7}+q^{9}+6q^{11}+5q^{13}+\cdots$
4800.2.a.q	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$q-q^{3}+q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots$
4800.2.a.r	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$0$	$-$	$+$	$+$	$q-q^{3}+q^{9}-4q^{11}+6q^{13}+6q^{17}+\cdots$
4800.2.a.s	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$q-q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots$
4800.2.a.t	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$q-q^{3}+q^{9}+4q^{11}-2q^{13}-2q^{17}+\cdots$
4800.2.a.u	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$0$	$-$	$+$	$+$	$q-q^{3}+q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots$
4800.2.a.v	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$1$	$+$	$+$	$+$	$q-q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots$
4800.2.a.w	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$1$	$-$	$+$	$-$	$q-q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}-q^{21}+\cdots$
4800.2.a.x	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$1$	$-$	$+$	$+$	$q-q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}-q^{21}+\cdots$
4800.2.a.y	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$1$	$+$	$+$	$-$	$q-q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots$
4800.2.a.z	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$2$	$-$	$+$	$-$	$q-q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$
4800.2.a.ba	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$2$	$-$	$+$	$-$	$q-q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots$
4800.2.a.bb	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$3$	$+$	$+$	$+$	$q-q^{3}+3q^{7}+q^{9}-2q^{11}+q^{13}+\cdots$
4800.2.a.bc	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$3$	$+$	$+$	$-$	$q-q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots$
4800.2.a.bd	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$3$	$-$	$+$	$+$	$q-q^{3}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots$
4800.2.a.be	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$3$	$-$	$+$	$-$	$q-q^{3}+3q^{7}+q^{9}+2q^{11}-q^{13}+\cdots$
4800.2.a.bf	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$4$	$-$	$+$	$-$	$q-q^{3}+4q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots$
4800.2.a.bg	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$4$	$+$	$+$	$+$	$q-q^{3}+4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots$
4800.2.a.bh	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$4$	$-$	$+$	$+$	$q-q^{3}+4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots$
4800.2.a.bi	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$4$	$-$	$+$	$+$	$q-q^{3}+4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots$
4800.2.a.bj	$1$	$38.328$	$\Q$	None	$0$	$-1$	$0$	$4$	$+$	$+$	$-$	$q-q^{3}+4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots$
4800.2.a.bk	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-4$	$-$	$-$	$-$	$q+q^{3}-4q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots$
4800.2.a.bl	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-4$	$+$	$-$	$+$	$q+q^{3}-4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots$
4800.2.a.bm	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-4$	$-$	$-$	$+$	$q+q^{3}-4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots$
4800.2.a.bn	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-4$	$+$	$-$	$-$	$q+q^{3}-4q^{7}+q^{9}+4q^{11}-4q^{17}+\cdots$
4800.2.a.bo	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-4$	$+$	$-$	$+$	$q+q^{3}-4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$
4800.2.a.bp	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-3$	$+$	$-$	$+$	$q+q^{3}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots$
4800.2.a.bq	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-3$	$+$	$-$	$-$	$q+q^{3}-3q^{7}+q^{9}-2q^{11}-q^{13}+\cdots$
4800.2.a.br	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-3$	$-$	$-$	$+$	$q+q^{3}-3q^{7}+q^{9}+2q^{11}+q^{13}+\cdots$
4800.2.a.bs	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-3$	$-$	$-$	$-$	$q+q^{3}-3q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots$
4800.2.a.bt	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-2$	$-$	$-$	$-$	$q+q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots$
4800.2.a.bu	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-2$	$-$	$-$	$-$	$q+q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$
4800.2.a.bv	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-1$	$+$	$-$	$-$	$q+q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots$
4800.2.a.bw	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-1$	$-$	$-$	$-$	$q+q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}-q^{21}+\cdots$
4800.2.a.bx	$1$	$38.328$	$\Q$	None	$0$	$1$	$0$	$-1$	$-$	$-$	$+$	$q+q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}-q^{21}+\cdots$

Overview	Features
Universe	Knowledge

Degree 1	Degree 2
Degree 3	Degree 4
$\zeta$ zeros

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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	$q$-expansion
4800.2.a.a	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-5\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}-5q^{7}+q^{9}-6q^{11}-3q^{13}+\cdots\)
4800.2.a.b	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-5\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
4800.2.a.c	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-4\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots\)
4800.2.a.d	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-4\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}-4q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots\)
4800.2.a.e	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-4\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots\)
4800.2.a.f	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-4\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4800.2.a.g	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-3\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots\)
4800.2.a.h	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-3\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots\)
4800.2.a.i	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-3\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots\)
4800.2.a.j	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-3\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots\)
4800.2.a.k	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
4800.2.a.l	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
4800.2.a.m	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-2\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}-2q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
4800.2.a.n	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-2\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4800.2.a.o	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-1\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4800.2.a.p	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-1\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}-q^{7}+q^{9}+6q^{11}+5q^{13}+\cdots\)
4800.2.a.q	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}+q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.r	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}+q^{9}-4q^{11}+6q^{13}+6q^{17}+\cdots\)
4800.2.a.s	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4800.2.a.t	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}+q^{9}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.u	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}+q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
4800.2.a.v	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(1\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots\)
4800.2.a.w	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(1\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}-q^{21}+\cdots\)
4800.2.a.x	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(1\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.y	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(1\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
4800.2.a.z	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(2\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
4800.2.a.ba	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(2\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
4800.2.a.bb	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(3\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}+3q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
4800.2.a.bc	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(3\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
4800.2.a.bd	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(3\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
4800.2.a.be	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(3\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}+3q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4800.2.a.bf	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(4\)	\(-\)	\(+\)	\(-\)	\(q-q^{3}+4q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
4800.2.a.bg	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(4\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}+4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4800.2.a.bh	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(4\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}+4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bi	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(4\)	\(-\)	\(+\)	\(+\)	\(q-q^{3}+4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bj	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(4\)	\(+\)	\(+\)	\(-\)	\(q-q^{3}+4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots\)
4800.2.a.bk	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-4\)	\(-\)	\(-\)	\(-\)	\(q+q^{3}-4q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots\)
4800.2.a.bl	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-4\)	\(+\)	\(-\)	\(+\)	\(q+q^{3}-4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bm	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-4\)	\(-\)	\(-\)	\(+\)	\(q+q^{3}-4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bn	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-4\)	\(+\)	\(-\)	\(-\)	\(q+q^{3}-4q^{7}+q^{9}+4q^{11}-4q^{17}+\cdots\)
4800.2.a.bo	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-4\)	\(+\)	\(-\)	\(+\)	\(q+q^{3}-4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4800.2.a.bp	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-3\)	\(+\)	\(-\)	\(+\)	\(q+q^{3}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
4800.2.a.bq	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-3\)	\(+\)	\(-\)	\(-\)	\(q+q^{3}-3q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
4800.2.a.br	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(q+q^{3}-3q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
4800.2.a.bs	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-3\)	\(-\)	\(-\)	\(-\)	\(q+q^{3}-3q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
4800.2.a.bt	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-2\)	\(-\)	\(-\)	\(-\)	\(q+q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
4800.2.a.bu	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-2\)	\(-\)	\(-\)	\(-\)	\(q+q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
4800.2.a.bv	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-1\)	\(+\)	\(-\)	\(-\)	\(q+q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots\)
4800.2.a.bw	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-1\)	\(-\)	\(-\)	\(-\)	\(q+q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.bx	\(1\)	\(38.328\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(q+q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}-q^{21}+\cdots\)

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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.