Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-504-56.13-c0-0-2	$0.501$	$0.251$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	56.13		$0.0$	0	✓	$1$	$0$	$2.15848$	Artin representation 2.504.4t3.a Artin representation 2.504.4t3.a.a Modular form 504.1.l.a Modular form 504.1.l.a.181.1
2-504-1.1-c1-0-0	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.15037$	Elliptic curve 504.c Modular form 504.2.a.c Modular form 504.2.a.c.1.1
2-504-1.1-c1-0-1	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.18803$	Elliptic curve 504.e Modular form 504.2.a.e Modular form 504.2.a.e.1.1
2-504-1.1-c1-0-2	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.38744$	Elliptic curve 504.f Modular form 504.2.a.f Modular form 504.2.a.f.1.1
2-504-1.1-c1-0-3	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.45089$	Elliptic curve 504.g Modular form 504.2.a.g Modular form 504.2.a.g.1.1
2-504-1.1-c1-0-4	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.58802$	Elliptic curve 504.h Modular form 504.2.a.h Modular form 504.2.a.h.1.1
2-504-1.1-c1-0-5	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.26970$	Elliptic curve 504.a Modular form 504.2.a.a Modular form 504.2.a.a.1.1
2-504-1.1-c1-0-6	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.27244$	Elliptic curve 504.b Modular form 504.2.a.b Modular form 504.2.a.b.1.1
2-504-1.1-c1-0-7	$2.00$	$4.02$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.31566$	Elliptic curve 504.d Modular form 504.2.a.d Modular form 504.2.a.d.1.1
2-504-1.1-c3-0-11	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.14987$	Modular form 504.4.a.h Modular form 504.4.a.h.1.1
2-504-1.1-c3-0-14	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.63566$	Modular form 504.4.a.b Modular form 504.4.a.b.1.1
2-504-1.1-c3-0-16	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.70183$	Modular form 504.4.a.c Modular form 504.4.a.c.1.1
2-504-1.1-c3-0-17	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.76460$	Modular form 504.4.a.d Modular form 504.4.a.d.1.1
2-504-1.1-c3-0-21	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.96016$	Modular form 504.4.a.g Modular form 504.4.a.g.1.1
2-504-1.1-c3-0-3	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.682268$	Modular form 504.4.a.a Modular form 504.4.a.a.1.1
2-504-1.1-c3-0-7	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.02908$	Modular form 504.4.a.e Modular form 504.4.a.e.1.1
2-504-1.1-c3-0-8	$5.45$	$29.7$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.08373$	Modular form 504.4.a.f Modular form 504.4.a.f.1.1
2-504-1.1-c5-0-15	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.983854$	Modular form 504.6.a.h Modular form 504.6.a.h.1.1
2-504-1.1-c5-0-19	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$1.03876$	Modular form 504.6.a.f Modular form 504.6.a.f.1.1
2-504-1.1-c5-0-26	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.33869$	Modular form 504.6.a.d Modular form 504.6.a.d.1.1
2-504-1.1-c5-0-27	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.42738$	Modular form 504.6.a.e Modular form 504.6.a.e.1.1
2-504-1.1-c5-0-3	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.472615$	Modular form 504.6.a.a Modular form 504.6.a.a.1.1
2-504-1.1-c5-0-7	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.643539$	Modular form 504.6.a.g Modular form 504.6.a.g.1.1
2-504-1.1-c5-0-8	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.711556$	Modular form 504.6.a.b Modular form 504.6.a.b.1.1
2-504-1.1-c5-0-9	$8.99$	$80.8$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.744608$	Modular form 504.6.a.c Modular form 504.6.a.c.1.1
2-504-1.1-c7-0-33	$12.5$	$157.$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.07461$	Modular form 504.8.a.a Modular form 504.8.a.a.1.1
2-504-1.1-c7-0-43	$12.5$	$157.$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.33801$	Modular form 504.8.a.b Modular form 504.8.a.b.1.1
2-504-1.1-c7-0-50	$12.5$	$157.$	$2$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.48122$	Modular form 504.8.a.c Modular form 504.8.a.c.1.1

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