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
		Only for weight 1:

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Results (1-50 of 127 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	$q$-expansion
7056.2.a.a	$1$	$56.342$	$\Q$	None	$0$	$0$	$-4$	$0$	$-$	$-$	$-$	$q-4q^{5}-4q^{11}+4q^{13}-4q^{19}+11q^{25}+\cdots$
7056.2.a.b	$1$	$56.342$	$\Q$	None	$0$	$0$	$-4$	$0$	$+$	$+$	$+$	$q-4q^{5}-3q^{13}+4q^{17}-7q^{19}+4q^{23}+\cdots$
7056.2.a.c	$1$	$56.342$	$\Q$	None	$0$	$0$	$-4$	$0$	$+$	$-$	$-$	$q-4q^{5}-2q^{17}-2q^{19}+8q^{23}+11q^{25}+\cdots$
7056.2.a.d	$1$	$56.342$	$\Q$	None	$0$	$0$	$-4$	$0$	$+$	$+$	$-$	$q-4q^{5}+3q^{13}+4q^{17}+7q^{19}-4q^{23}+\cdots$
7056.2.a.e	$1$	$56.342$	$\Q$	None	$0$	$0$	$-3$	$0$	$-$	$+$	$+$	$q-3q^{5}-3q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots$
7056.2.a.f	$1$	$56.342$	$\Q$	None	$0$	$0$	$-3$	$0$	$-$	$-$	$+$	$q-3q^{5}-3q^{11}+2q^{13}-3q^{17}+q^{19}+\cdots$
7056.2.a.g	$1$	$56.342$	$\Q$	None	$0$	$0$	$-3$	$0$	$-$	$-$	$+$	$q-3q^{5}+3q^{11}-4q^{13}+4q^{19}+4q^{25}+\cdots$
7056.2.a.h	$1$	$56.342$	$\Q$	None	$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$q-3q^{5}+3q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots$
7056.2.a.i	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$q-2q^{5}-6q^{11}-3q^{13}-4q^{17}+5q^{19}+\cdots$
7056.2.a.j	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$+$	$+$	$-$	$q-2q^{5}-6q^{11}+6q^{13}+2q^{17}+4q^{19}+\cdots$
7056.2.a.k	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$q-2q^{5}-4q^{11}-6q^{13}+2q^{17}-4q^{19}+\cdots$
7056.2.a.l	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$+$	$+$	$-$	$q-2q^{5}-2q^{11}-2q^{13}-6q^{17}-4q^{19}+\cdots$
7056.2.a.m	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$q-2q^{5}-2q^{11}-q^{13}+q^{19}-q^{25}+\cdots$
7056.2.a.n	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$q-2q^{5}+2q^{11}-4q^{13}-6q^{17}-8q^{19}+\cdots$
7056.2.a.o	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$q-2q^{5}+2q^{11}+3q^{13}+8q^{17}-q^{19}+\cdots$
7056.2.a.p	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$-$	$-$	$-$	$q-2q^{5}+4q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots$
7056.2.a.q	$1$	$56.342$	$\Q$	None	$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$q-2q^{5}+4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots$
7056.2.a.r	$1$	$56.342$	$\Q$	None	$0$	$0$	$-1$	$0$	$+$	$+$	$+$	$q-q^{5}-5q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots$
7056.2.a.s	$1$	$56.342$	$\Q$	None	$0$	$0$	$-1$	$0$	$+$	$-$	$-$	$q-q^{5}-q^{11}-2q^{13}+3q^{17}+5q^{19}+\cdots$
7056.2.a.t	$1$	$56.342$	$\Q$	None	$0$	$0$	$-1$	$0$	$+$	$-$	$-$	$q-q^{5}+3q^{11}-4q^{13}-4q^{19}+8q^{23}+\cdots$
7056.2.a.u	$1$	$56.342$	$\Q$	None	$0$	$0$	$-1$	$0$	$+$	$-$	$-$	$q-q^{5}+3q^{11}+6q^{13}-5q^{17}+q^{19}+\cdots$
7056.2.a.v	$1$	$56.342$	$\Q$	None	$0$	$0$	$-1$	$0$	$+$	$+$	$-$	$q-q^{5}+5q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots$
7056.2.a.w	$1$	$56.342$	$\Q$	None	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$q-q^{5}+5q^{11}+4q^{17}-8q^{19}-4q^{23}+\cdots$
7056.2.a.x	$1$	$56.342$	$\Q$	None	$0$	$0$	$0$	$0$	$-$	$-$	$-$	$q-6q^{11}-2q^{13}-4q^{19}-6q^{23}+\cdots$
7056.2.a.y	$1$	$56.342$	$\Q$	$\Q(\sqrt{-3}) $	$0$	$0$	$0$	$0$	$-$	$+$	$+$	$q-7q^{13}+7q^{19}-5q^{25}+7q^{31}+\cdots$
7056.2.a.z	$1$	$56.342$	$\Q$	$\Q(\sqrt{-3}) $	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$q-5q^{13}-q^{19}-5q^{25}+11q^{31}+\cdots$
7056.2.a.ba	$1$	$56.342$	$\Q$	None	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$q-4q^{13}+4q^{17}-4q^{19}+4q^{23}+\cdots$
7056.2.a.bb	$1$	$56.342$	$\Q$	$\Q(\sqrt{-3}) $	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$q-2q^{13}+8q^{19}-5q^{25}-4q^{31}+\cdots$
7056.2.a.bc	$1$	$56.342$	$\Q$	None	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$q+4q^{13}-4q^{17}+4q^{19}+4q^{23}+\cdots$
7056.2.a.bd	$1$	$56.342$	$\Q$	None	$0$	$0$	$0$	$0$	$-$	$-$	$-$	$q+4q^{13}+6q^{17}+2q^{19}-5q^{25}+\cdots$
7056.2.a.be	$1$	$56.342$	$\Q$	$\Q(\sqrt{-3}) $	$0$	$0$	$0$	$0$	$-$	$+$	$+$	$q+5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots$
7056.2.a.bf	$1$	$56.342$	$\Q$	$\Q(\sqrt{-3}) $	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$q+7q^{13}-7q^{19}-5q^{25}-7q^{31}+\cdots$
7056.2.a.bg	$1$	$56.342$	$\Q$	$\Q(\sqrt{-7}) $	$0$	$0$	$0$	$0$	$-$	$-$	$-$	$q+4q^{11}+8q^{23}-5q^{25}-2q^{29}+\cdots$
7056.2.a.bh	$1$	$56.342$	$\Q$	None	$0$	$0$	$1$	$0$	$+$	$+$	$-$	$q+q^{5}-5q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots$
7056.2.a.bi	$1$	$56.342$	$\Q$	None	$0$	$0$	$1$	$0$	$+$	$-$	$+$	$q+q^{5}-q^{11}+2q^{13}-3q^{17}-5q^{19}+\cdots$
7056.2.a.bj	$1$	$56.342$	$\Q$	None	$0$	$0$	$1$	$0$	$+$	$-$	$+$	$q+q^{5}+3q^{11}-6q^{13}+5q^{17}-q^{19}+\cdots$
7056.2.a.bk	$1$	$56.342$	$\Q$	None	$0$	$0$	$1$	$0$	$+$	$-$	$+$	$q+q^{5}+3q^{11}+4q^{13}+4q^{19}+8q^{23}+\cdots$
7056.2.a.bl	$1$	$56.342$	$\Q$	None	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$q+q^{5}+5q^{11}-4q^{17}+8q^{19}-4q^{23}+\cdots$
7056.2.a.bm	$1$	$56.342$	$\Q$	None	$0$	$0$	$1$	$0$	$+$	$+$	$+$	$q+q^{5}+5q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots$
7056.2.a.bn	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$+$	$-$	$-$	$q+2q^{5}-6q^{11}+3q^{13}+4q^{17}-5q^{19}+\cdots$
7056.2.a.bo	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$+$	$-$	$-$	$q+2q^{5}-4q^{11}-2q^{13}-6q^{17}+8q^{19}+\cdots$
7056.2.a.bp	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$-$	$-$	$+$	$q+2q^{5}-2q^{11}+q^{13}-q^{19}-q^{25}+\cdots$
7056.2.a.bq	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$+$	$-$	$-$	$q+2q^{5}-6q^{13}-2q^{17}+4q^{19}-4q^{23}+\cdots$
7056.2.a.br	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$+$	$-$	$-$	$q+2q^{5}+2q^{13}+6q^{17}-4q^{19}-4q^{23}+\cdots$
7056.2.a.bs	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$-$	$-$	$+$	$q+2q^{5}+2q^{11}-3q^{13}-8q^{17}+q^{19}+\cdots$
7056.2.a.bt	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$+$	$+$	$-$	$q+2q^{5}+2q^{11}-2q^{13}+6q^{17}-4q^{19}+\cdots$
7056.2.a.bu	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$-$	$-$	$-$	$q+2q^{5}+2q^{11}+4q^{13}+6q^{17}+8q^{19}+\cdots$
7056.2.a.bv	$1$	$56.342$	$\Q$	None	$0$	$0$	$2$	$0$	$+$	$+$	$-$	$q+2q^{5}+6q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots$
7056.2.a.bw	$1$	$56.342$	$\Q$	None	$0$	$0$	$3$	$0$	$-$	$-$	$-$	$q+3q^{5}-3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots$
7056.2.a.bx	$1$	$56.342$	$\Q$	None	$0$	$0$	$3$	$0$	$-$	$+$	$-$	$q+3q^{5}-3q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots$

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Elliptic curves over $\Q$
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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	7	$q$-expansion
7056.2.a.a	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-4\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-4q^{5}-4q^{11}+4q^{13}-4q^{19}+11q^{25}+\cdots\)
7056.2.a.b	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-4\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-4q^{5}-3q^{13}+4q^{17}-7q^{19}+4q^{23}+\cdots\)
7056.2.a.c	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-4\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-4q^{5}-2q^{17}-2q^{19}+8q^{23}+11q^{25}+\cdots\)
7056.2.a.d	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-4\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q-4q^{5}+3q^{13}+4q^{17}+7q^{19}-4q^{23}+\cdots\)
7056.2.a.e	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q-3q^{5}-3q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
7056.2.a.f	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(0\)	\(-\)	\(-\)	\(+\)	\(q-3q^{5}-3q^{11}+2q^{13}-3q^{17}+q^{19}+\cdots\)
7056.2.a.g	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(0\)	\(-\)	\(-\)	\(+\)	\(q-3q^{5}+3q^{11}-4q^{13}+4q^{19}+4q^{25}+\cdots\)
7056.2.a.h	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(0\)	\(-\)	\(+\)	\(-\)	\(q-3q^{5}+3q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
7056.2.a.i	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(+\)	\(-\)	\(+\)	\(q-2q^{5}-6q^{11}-3q^{13}-4q^{17}+5q^{19}+\cdots\)
7056.2.a.j	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q-2q^{5}-6q^{11}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
7056.2.a.k	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-2q^{5}-4q^{11}-6q^{13}+2q^{17}-4q^{19}+\cdots\)
7056.2.a.l	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q-2q^{5}-2q^{11}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
7056.2.a.m	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-2q^{5}-2q^{11}-q^{13}+q^{19}-q^{25}+\cdots\)
7056.2.a.n	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-2q^{5}+2q^{11}-4q^{13}-6q^{17}-8q^{19}+\cdots\)
7056.2.a.o	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-2q^{5}+2q^{11}+3q^{13}+8q^{17}-q^{19}+\cdots\)
7056.2.a.p	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-2q^{5}+4q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
7056.2.a.q	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-2q^{5}+4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots\)
7056.2.a.r	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{5}-5q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
7056.2.a.s	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-q^{5}-q^{11}-2q^{13}+3q^{17}+5q^{19}+\cdots\)
7056.2.a.t	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-q^{5}+3q^{11}-4q^{13}-4q^{19}+8q^{23}+\cdots\)
7056.2.a.u	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-q^{5}+3q^{11}+6q^{13}-5q^{17}+q^{19}+\cdots\)
7056.2.a.v	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q-q^{5}+5q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
7056.2.a.w	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(0\)	\(-\)	\(-\)	\(+\)	\(q-q^{5}+5q^{11}+4q^{17}-8q^{19}-4q^{23}+\cdots\)
7056.2.a.x	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q-6q^{11}-2q^{13}-4q^{19}-6q^{23}+\cdots\)
7056.2.a.y	\(1\)	\(56.342\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q-7q^{13}+7q^{19}-5q^{25}+7q^{31}+\cdots\)
7056.2.a.z	\(1\)	\(56.342\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(+\)	\(-\)	\(q-5q^{13}-q^{19}-5q^{25}+11q^{31}+\cdots\)
7056.2.a.ba	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-4q^{13}+4q^{17}-4q^{19}+4q^{23}+\cdots\)
7056.2.a.bb	\(1\)	\(56.342\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(+\)	\(-\)	\(q-2q^{13}+8q^{19}-5q^{25}-4q^{31}+\cdots\)
7056.2.a.bc	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q+4q^{13}-4q^{17}+4q^{19}+4q^{23}+\cdots\)
7056.2.a.bd	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+4q^{13}+6q^{17}+2q^{19}-5q^{25}+\cdots\)
7056.2.a.be	\(1\)	\(56.342\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q+5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots\)
7056.2.a.bf	\(1\)	\(56.342\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(+\)	\(-\)	\(q+7q^{13}-7q^{19}-5q^{25}-7q^{31}+\cdots\)
7056.2.a.bg	\(1\)	\(56.342\)	\(\Q\)	\(\Q(\sqrt{-7}) \)	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+4q^{11}+8q^{23}-5q^{25}-2q^{29}+\cdots\)
7056.2.a.bh	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q+q^{5}-5q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
7056.2.a.bi	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(+\)	\(-\)	\(+\)	\(q+q^{5}-q^{11}+2q^{13}-3q^{17}-5q^{19}+\cdots\)
7056.2.a.bj	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(+\)	\(-\)	\(+\)	\(q+q^{5}+3q^{11}-6q^{13}+5q^{17}-q^{19}+\cdots\)
7056.2.a.bk	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(+\)	\(-\)	\(+\)	\(q+q^{5}+3q^{11}+4q^{13}+4q^{19}+8q^{23}+\cdots\)
7056.2.a.bl	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}+5q^{11}-4q^{17}+8q^{19}-4q^{23}+\cdots\)
7056.2.a.bm	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q+q^{5}+5q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
7056.2.a.bn	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q+2q^{5}-6q^{11}+3q^{13}+4q^{17}-5q^{19}+\cdots\)
7056.2.a.bo	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q+2q^{5}-4q^{11}-2q^{13}-6q^{17}+8q^{19}+\cdots\)
7056.2.a.bp	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(-\)	\(-\)	\(+\)	\(q+2q^{5}-2q^{11}+q^{13}-q^{19}-q^{25}+\cdots\)
7056.2.a.bq	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q+2q^{5}-6q^{13}-2q^{17}+4q^{19}-4q^{23}+\cdots\)
7056.2.a.br	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q+2q^{5}+2q^{13}+6q^{17}-4q^{19}-4q^{23}+\cdots\)
7056.2.a.bs	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(-\)	\(-\)	\(+\)	\(q+2q^{5}+2q^{11}-3q^{13}-8q^{17}+q^{19}+\cdots\)
7056.2.a.bt	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q+2q^{5}+2q^{11}-2q^{13}+6q^{17}-4q^{19}+\cdots\)
7056.2.a.bu	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+2q^{5}+2q^{11}+4q^{13}+6q^{17}+8q^{19}+\cdots\)
7056.2.a.bv	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q+2q^{5}+6q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots\)
7056.2.a.bw	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(3\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+3q^{5}-3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots\)
7056.2.a.bx	\(1\)	\(56.342\)	\(\Q\)	None	\(0\)	\(0\)	\(3\)	\(0\)	\(-\)	\(+\)	\(-\)	\(q+3q^{5}-3q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)

Introduction

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.