Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-1872-52.51-c0-0-0	$0.966$	$0.934$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	52.51		$0.0$	0	✓	$1$	$0$	$1.04003$	Artin representation 2.1872.4t3.c Artin representation 2.1872.4t3.c.a Modular form 1872.1.i.a Modular form 1872.1.i.a.415.1
2-1872-52.51-c0-0-1	$0.966$	$0.934$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	52.51		$0.0$	0	✓	$1$	$0$	$1.18285$	Artin representation 2.1872.4t3.h Artin representation 2.1872.4t3.h.a Modular form 1872.1.i.b Modular form 1872.1.i.b.415.1
2-1872-52.51-c0-0-2	$0.966$	$0.934$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	52.51		$0.0$	0	✓	$1$	$0$	$1.43103$	Artin representation 2.1872.4t3.b Artin representation 2.1872.4t3.b.a Modular form 1872.1.i.c Modular form 1872.1.i.c.415.1
2-1872-1.1-c1-0-0	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.388975$	Elliptic curve 1872.a Modular form 1872.2.a.a Modular form 1872.2.a.a.1.1
2-1872-1.1-c1-0-1	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.589897$	Elliptic curve 1872.c Modular form 1872.2.a.c Modular form 1872.2.a.c.1.1
2-1872-1.1-c1-0-10	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.06254$	Elliptic curve 1872.k Modular form 1872.2.a.k Modular form 1872.2.a.k.1.1
2-1872-1.1-c1-0-11	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.06736$	Elliptic curve 1872.p Modular form 1872.2.a.p Modular form 1872.2.a.p.1.1
2-1872-1.1-c1-0-12	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.07183$	Elliptic curve 1872.r Modular form 1872.2.a.r Modular form 1872.2.a.r.1.1
2-1872-1.1-c1-0-14	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.20578$	Elliptic curve 1872.s Modular form 1872.2.a.s Modular form 1872.2.a.s.1.1
2-1872-1.1-c1-0-15	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.28946$	Elliptic curve 1872.q Modular form 1872.2.a.q Modular form 1872.2.a.q.1.1
2-1872-1.1-c1-0-16	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.35061$	Elliptic curve 1872.t Modular form 1872.2.a.t Modular form 1872.2.a.t.1.1
2-1872-1.1-c1-0-18	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.52827$	Elliptic curve 1872.d Modular form 1872.2.a.d Modular form 1872.2.a.d.1.1
2-1872-1.1-c1-0-2	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.593726$	Elliptic curve 1872.b Modular form 1872.2.a.b Modular form 1872.2.a.b.1.1
2-1872-1.1-c1-0-20	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.57297$	Elliptic curve 1872.e Modular form 1872.2.a.e Modular form 1872.2.a.e.1.1
2-1872-1.1-c1-0-22	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.61933$	Elliptic curve 1872.f Modular form 1872.2.a.f Modular form 1872.2.a.f.1.1
2-1872-1.1-c1-0-25	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.75350$	Elliptic curve 1872.n Modular form 1872.2.a.n Modular form 1872.2.a.n.1.1
2-1872-1.1-c1-0-26	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.77354$	Elliptic curve 1872.m Modular form 1872.2.a.m Modular form 1872.2.a.m.1.1
2-1872-1.1-c1-0-27	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$-1$	$1$	$1.80305$	Elliptic curve 1872.o Modular form 1872.2.a.o Modular form 1872.2.a.o.1.1
2-1872-1.1-c1-0-4	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.773472$	Elliptic curve 1872.l Modular form 1872.2.a.l Modular form 1872.2.a.l.1.1
2-1872-1.1-c1-0-5	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.861350$	Elliptic curve 1872.i Modular form 1872.2.a.i Modular form 1872.2.a.i.1.1
2-1872-1.1-c1-0-7	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.916959$	Elliptic curve 1872.g Modular form 1872.2.a.g Modular form 1872.2.a.g.1.1
2-1872-1.1-c1-0-8	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$0.986325$	Elliptic curve 1872.j Modular form 1872.2.a.j Modular form 1872.2.a.j.1.1
2-1872-1.1-c1-0-9	$3.86$	$14.9$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$1.0$	$1$	✓	$1$	$0$	$1.00171$	Elliptic curve 1872.h Modular form 1872.2.a.h Modular form 1872.2.a.h.1.1
2-1872-1.1-c3-0-2	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.203422$	Modular form 1872.4.a.c Modular form 1872.4.a.c.1.1
2-1872-1.1-c3-0-20	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.575816$	Modular form 1872.4.a.f Modular form 1872.4.a.f.1.1
2-1872-1.1-c3-0-23	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.649692$	Modular form 1872.4.a.o Modular form 1872.4.a.o.1.1
2-1872-1.1-c3-0-32	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.831152$	Modular form 1872.4.a.n Modular form 1872.4.a.n.1.1
2-1872-1.1-c3-0-34	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.840473$	Modular form 1872.4.a.p Modular form 1872.4.a.p.1.1
2-1872-1.1-c3-0-46	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$0.974353$	Modular form 1872.4.a.l Modular form 1872.4.a.l.1.1
2-1872-1.1-c3-0-52	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.02800$	Modular form 1872.4.a.a Modular form 1872.4.a.a.1.1
2-1872-1.1-c3-0-56	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.13002$	Modular form 1872.4.a.e Modular form 1872.4.a.e.1.1
2-1872-1.1-c3-0-61	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.22381$	Modular form 1872.4.a.d Modular form 1872.4.a.d.1.1
2-1872-1.1-c3-0-62	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.24766$	Modular form 1872.4.a.b Modular form 1872.4.a.b.1.1
2-1872-1.1-c3-0-67	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.31646$	Modular form 1872.4.a.r Modular form 1872.4.a.r.1.1
2-1872-1.1-c3-0-72	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.37326$	Modular form 1872.4.a.q Modular form 1872.4.a.q.1.1
2-1872-1.1-c3-0-76	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.41463$	Modular form 1872.4.a.h Modular form 1872.4.a.h.1.1
2-1872-1.1-c3-0-77	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.42889$	Modular form 1872.4.a.m Modular form 1872.4.a.m.1.1
2-1872-1.1-c3-0-79	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.45108$	Modular form 1872.4.a.i Modular form 1872.4.a.i.1.1
2-1872-1.1-c3-0-80	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.45884$	Modular form 1872.4.a.k Modular form 1872.4.a.k.1.1
2-1872-1.1-c3-0-81	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.46632$	Modular form 1872.4.a.j Modular form 1872.4.a.j.1.1
2-1872-1.1-c3-0-84	$10.5$	$110.$	$2$	$2^{4} \cdot 3^{2} \cdot 13$	1.1		$3.0$	$3$	✓	$-1$	$1$	$1.51235$	Modular form 1872.4.a.g Modular form 1872.4.a.g.1.1

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