Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-560-35.34-c0-0-0	$0.528$	$0.279$	$2$	$2^{4} \cdot 5 \cdot 7$	35.34		$0.0$	0	✓	$1$	$0$	$1.27727$	Artin representation 2.560.6t3.d Artin representation 2.560.6t3.d.a Modular form 560.1.p.a Modular form 560.1.p.a.209.1
2-560-35.34-c0-0-1	$0.528$	$0.279$	$2$	$2^{4} \cdot 5 \cdot 7$	35.34		$0.0$	0	✓	$1$	$0$	$2.06224$	Artin representation 2.560.6t3.b Artin representation 2.560.6t3.b.a Modular form 560.1.p.b Modular form 560.1.p.b.209.1
2-560-1.1-c1-0-10	$2.11$	$4.47$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.16340$	Elliptic curve 560.c Modular form 560.2.a.c Modular form 560.2.a.c.1.1
2-560-1.1-c1-0-11	$2.11$	$4.47$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$1.0$	$1$	✓	$-1$	$1$	$2.30801$	Elliptic curve 560.d Modular form 560.2.a.d Modular form 560.2.a.d.1.1
2-560-1.1-c1-0-2	$2.11$	$4.47$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.00806$	Elliptic curve 560.b Modular form 560.2.a.b Modular form 560.2.a.b.1.1
2-560-1.1-c1-0-4	$2.11$	$4.47$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.34060$	Elliptic curve 560.e Modular form 560.2.a.e Modular form 560.2.a.e.1.1
2-560-1.1-c1-0-6	$2.11$	$4.47$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.70936$	Elliptic curve 560.a Modular form 560.2.a.a Modular form 560.2.a.a.1.1
2-560-1.1-c1-0-9	$2.11$	$4.47$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.80180$	Elliptic curve 560.f Modular form 560.2.a.f Modular form 560.2.a.f.1.1
2-560-35.34-c2-0-15	$3.90$	$15.2$	$2$	$2^{4} \cdot 5 \cdot 7$	35.34		$2.0$	$2$	✓	$1$	$0$	$0.663149$	Modular form 560.3.p.a Modular form 560.3.p.a.209.1
2-560-35.34-c2-0-28	$3.90$	$15.2$	$2$	$2^{4} \cdot 5 \cdot 7$	35.34		$2.0$	$2$	✓	$1$	$0$	$1.33088$	Modular form 560.3.p.b Modular form 560.3.p.b.209.1
2-560-1.1-c3-0-14	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.06496$	Modular form 560.4.a.o Modular form 560.4.a.o.1.1
2-560-1.1-c3-0-16	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.11816$	Modular form 560.4.a.q Modular form 560.4.a.q.1.1
2-560-1.1-c3-0-17	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.17422$	Modular form 560.4.a.b Modular form 560.4.a.b.1.1
2-560-1.1-c3-0-18	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.22235$	Modular form 560.4.a.c Modular form 560.4.a.c.1.1
2-560-1.1-c3-0-20	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.27975$	Modular form 560.4.a.a Modular form 560.4.a.a.1.1
2-560-1.1-c3-0-24	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.33498$	Modular form 560.4.a.d Modular form 560.4.a.d.1.1
2-560-1.1-c3-0-25	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.35740$	Modular form 560.4.a.e Modular form 560.4.a.e.1.1
2-560-1.1-c3-0-27	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.47549$	Modular form 560.4.a.f Modular form 560.4.a.f.1.1
2-560-1.1-c3-0-28	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.61625$	Modular form 560.4.a.i Modular form 560.4.a.i.1.1
2-560-1.1-c3-0-29	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.75401$	Modular form 560.4.a.j Modular form 560.4.a.j.1.1
2-560-1.1-c3-0-30	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.84517$	Modular form 560.4.a.n Modular form 560.4.a.n.1.1
2-560-1.1-c3-0-31	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.95238$	Modular form 560.4.a.l Modular form 560.4.a.l.1.1
2-560-1.1-c3-0-32	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.97517$	Modular form 560.4.a.k Modular form 560.4.a.k.1.1
2-560-1.1-c3-0-34	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$2.03480$	Modular form 560.4.a.m Modular form 560.4.a.m.1.1
2-560-1.1-c3-0-35	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$-1$	$1$	$2.13146$	Modular form 560.4.a.p Modular form 560.4.a.p.1.1
2-560-1.1-c3-0-5	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.646051$	Modular form 560.4.a.g Modular form 560.4.a.g.1.1
2-560-1.1-c3-0-8	$5.74$	$33.0$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.725341$	Modular form 560.4.a.h Modular form 560.4.a.h.1.1
2-560-35.34-c4-0-33	$7.60$	$57.8$	$2$	$2^{4} \cdot 5 \cdot 7$	35.34		$4.0$	$4$	✓	$1$	$0$	$0.514224$	Modular form 560.5.p.a Modular form 560.5.p.a.209.1
2-560-35.34-c4-0-74	$7.60$	$57.8$	$2$	$2^{4} \cdot 5 \cdot 7$	35.34		$4.0$	$4$	✓	$1$	$0$	$1.27203$	Modular form 560.5.p.b Modular form 560.5.p.b.209.1
2-560-1.1-c5-0-13	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.620445$	Modular form 560.6.a.f Modular form 560.6.a.f.1.1
2-560-1.1-c5-0-24	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.913278$	Modular form 560.6.a.e Modular form 560.6.a.e.1.1
2-560-1.1-c5-0-34	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$1.06711$	Modular form 560.6.a.h Modular form 560.6.a.h.1.1
2-560-1.1-c5-0-38	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.12775$	Modular form 560.6.a.a Modular form 560.6.a.a.1.1
2-560-1.1-c5-0-46	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.35176$	Modular form 560.6.a.c Modular form 560.6.a.c.1.1
2-560-1.1-c5-0-47	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.37297$	Modular form 560.6.a.b Modular form 560.6.a.b.1.1
2-560-1.1-c5-0-54	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.60491$	Modular form 560.6.a.g Modular form 560.6.a.g.1.1
2-560-1.1-c5-0-56	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.80188$	Modular form 560.6.a.i Modular form 560.6.a.i.1.1
2-560-1.1-c5-0-6	$9.47$	$89.8$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.424964$	Modular form 560.6.a.d Modular form 560.6.a.d.1.1
2-560-1.1-c7-0-14	$13.2$	$174.$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$7.0$	$7$	✓	$1$	$0$	$0.447030$	Modular form 560.8.a.a Modular form 560.8.a.a.1.1
2-560-1.1-c7-0-50	$13.2$	$174.$	$2$	$2^{4} \cdot 5 \cdot 7$	1.1		$7.0$	$7$	✓	$1$	$0$	$0.984664$	Modular form 560.8.a.b Modular form 560.8.a.b.1.1

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