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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-56-56.13-c0-0-0	$0.167$	$0.0279$	$2$	$2^{3} \cdot 7$	56.13		$0.0$	0	✓	✓	✓	✓	$0$	$0$	$3.00942$	Artin representation 2.56.4t3.b Artin representation 2.56.4t3.b.a Modular form 56.1.h.a Modular form 56.1.h.a.13.1
2-56-1.1-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	1.1		$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$2.79183$	Elliptic curve 56.a Modular form 56.2.a.a Modular form 56.2.a.a.1.1
2-56-1.1-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	1.1		$1.0$	$1$	✓	✓	✓	✓	$0$	$0$	$3.14137$	Elliptic curve 56.b Modular form 56.2.a.b Modular form 56.2.a.b.1.1
2-56-56.19-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.19		$1.0$	$1$	✓	✓			$-0.292$	$0$	$0.766057$	Modular form 56.2.m.a.19.1
2-56-56.19-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.19		$1.0$	$1$	✓	✓			$-0.177$	$0$	$2.29130$	Modular form 56.2.m.a.19.6
2-56-56.19-c1-0-2	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.19		$1.0$	$1$	✓	✓			$-0.0190$	$0$	$2.52718$	Modular form 56.2.m.a.19.2
2-56-56.19-c1-0-3	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.19		$1.0$	$1$	✓	✓			$-0.134$	$0$	$2.81034$	Modular form 56.2.m.a.19.4
2-56-56.19-c1-0-4	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.19		$1.0$	$1$	✓	✓			$0.0870$	$0$	$3.64746$	Modular form 56.2.m.a.19.5
2-56-56.19-c1-0-5	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.19		$1.0$	$1$	✓	✓			$0.202$	$0$	$3.71851$	Modular form 56.2.m.a.19.3
2-56-56.27-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.27		$1.0$	$1$	✓	✓			$-0.313$	$0$	$1.48752$	Modular form 56.2.e.b.27.4
2-56-56.27-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.27		$1.0$	$1$	✓	✓			$-0.0633$	$0$	$1.89198$	Modular form 56.2.e.b.27.2
2-56-56.27-c1-0-2	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.27		$1.0$	$1$	✓	✓			$-0.172$	$0$	$2.47526$	Modular form 56.2.e.a.27.2
2-56-56.27-c1-0-3	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.27		$1.0$	$1$	✓	✓			$0.0633$	$0$	$3.02359$	Modular form 56.2.e.b.27.3
2-56-56.27-c1-0-4	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.27		$1.0$	$1$	✓	✓			$0.172$	$0$	$3.86980$	Modular form 56.2.e.a.27.1
2-56-56.27-c1-0-5	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.27		$1.0$	$1$	✓	✓			$0.313$	$0$	$4.12846$	Modular form 56.2.e.b.27.1
2-56-56.3-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.3		$1.0$	$1$	✓	✓			$-0.202$	$0$	$2.15983$	Modular form 56.2.m.a.3.4
2-56-56.3-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.3		$1.0$	$1$	✓	✓			$0.0190$	$0$	$2.38061$	Modular form 56.2.m.a.3.1
2-56-56.3-c1-0-2	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.3		$1.0$	$1$	✓	✓			$-0.0870$	$0$	$3.06280$	Modular form 56.2.m.a.3.6
2-56-56.3-c1-0-3	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.3		$1.0$	$1$	✓	✓			$0.292$	$0$	$3.42421$	Modular form 56.2.m.a.3.2
2-56-56.3-c1-0-4	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.3		$1.0$	$1$	✓	✓			$0.134$	$0$	$3.44036$	Modular form 56.2.m.a.3.3
2-56-56.3-c1-0-5	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.3		$1.0$	$1$	✓	✓			$0.177$	$0$	$4.31549$	Modular form 56.2.m.a.3.5
2-56-56.37-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.37		$1.0$	$1$	✓	✓			$-0.352$	$0$	$1.32682$	Modular form 56.2.p.a.37.4
2-56-56.37-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.37		$1.0$	$1$	✓	✓			$-0.0436$	$0$	$1.98943$	Modular form 56.2.p.a.37.1
2-56-56.37-c1-0-2	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.37		$1.0$	$1$	✓	✓			$-0.0167$	$0$	$2.96124$	Modular form 56.2.p.a.37.2
2-56-56.37-c1-0-3	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.37		$1.0$	$1$	✓	✓			$-0.121$	$0$	$2.96164$	Modular form 56.2.p.a.37.5
2-56-56.37-c1-0-4	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.37		$1.0$	$1$	✓	✓			$0.00628$	$0$	$3.23162$	Modular form 56.2.p.a.37.6
2-56-56.37-c1-0-5	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.37		$1.0$	$1$	✓	✓			$0.194$	$0$	$3.59544$	Modular form 56.2.p.a.37.3
2-56-56.53-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.53		$1.0$	$1$	✓	✓			$-0.194$	$0$	$2.33722$	Modular form 56.2.p.a.53.3
2-56-56.53-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.53		$1.0$	$1$	✓	✓			$0.0436$	$0$	$2.41995$	Modular form 56.2.p.a.53.1
2-56-56.53-c1-0-2	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.53		$1.0$	$1$	✓	✓			$0.0167$	$0$	$2.44957$	Modular form 56.2.p.a.53.2
2-56-56.53-c1-0-3	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.53		$1.0$	$1$	✓	✓			$-0.00628$	$0$	$3.34368$	Modular form 56.2.p.a.53.6
2-56-56.53-c1-0-4	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.53		$1.0$	$1$	✓	✓			$0.121$	$0$	$3.84261$	Modular form 56.2.p.a.53.5
2-56-56.53-c1-0-5	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	56.53		$1.0$	$1$	✓	✓			$0.352$	$0$	$4.50827$	Modular form 56.2.p.a.53.4
2-56-7.2-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	7.2		$1.0$	$1$	✓	✓			$-0.0403$	$0$	$2.66025$	Modular form 56.2.i.b.9.1
2-56-7.2-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	7.2		$1.0$	$1$	✓	✓			$0.186$	$0$	$3.87701$	Modular form 56.2.i.a.9.1
2-56-7.4-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	7.4		$1.0$	$1$	✓	✓			$-0.186$	$0$	$1.76846$	Modular form 56.2.i.a.25.1
2-56-7.4-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	7.4		$1.0$	$1$	✓	✓			$0.0403$	$0$	$3.10707$	Modular form 56.2.i.b.25.1
2-56-8.5-c1-0-0	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	8.5		$1.0$	$1$	✓	✓			$-0.209$	$0$	$1.62949$	Modular form 56.2.b.b.29.2
2-56-8.5-c1-0-1	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	8.5		$1.0$	$1$	✓	✓			$-0.250$	$0$	$2.05976$	Modular form 56.2.b.a.29.2
2-56-8.5-c1-0-2	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	8.5		$1.0$	$1$	✓	✓			$0.0292$	$0$	$2.95367$	Modular form 56.2.b.b.29.3
2-56-8.5-c1-0-3	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	8.5		$1.0$	$1$	✓	✓			$0.209$	$0$	$3.19000$	Modular form 56.2.b.b.29.1
2-56-8.5-c1-0-4	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	8.5		$1.0$	$1$	✓	✓			$-0.0292$	$0$	$3.41241$	Modular form 56.2.b.b.29.4
2-56-8.5-c1-0-5	$0.668$	$0.447$	$2$	$2^{3} \cdot 7$	8.5		$1.0$	$1$	✓	✓			$0.250$	$0$	$4.29346$	Modular form 56.2.b.a.29.1
2-56-56.11-c2-0-0	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$-0.325$	$0$	$0.356611$	Modular form 56.3.k.c.11.3
2-56-56.11-c2-0-1	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$0.458$	$0$	$0.608102$	Modular form 56.3.k.d.11.2
2-56-56.11-c2-0-10	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$-0.00477$	$0$	$3.12550$	Modular form 56.3.k.c.11.5
2-56-56.11-c2-0-11	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$0.199$	$0$	$3.13308$	Modular form 56.3.k.b.11.1
2-56-56.11-c2-0-12	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$0.118$	$0$	$3.42345$	Modular form 56.3.k.c.11.6
2-56-56.11-c2-0-13	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$0.320$	$0$	$4.01135$	Modular form 56.3.k.d.11.3
2-56-56.11-c2-0-2	$1.23$	$1.52$	$2$	$2^{3} \cdot 7$	56.11		$2.0$	$2$	✓	✓			$-0.300$	$0$	$0.753022$	Modular form 56.3.k.a.11.1

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