Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-80-20.19-c0-0-0	$0.199$	$0.0399$	$2$	$2^{4} \cdot 5$	20.19		$0.0$	0	✓	$1$	$0$	$3.18874$	Artin representation 2.80.4t3.a Artin representation 2.80.4t3.a.a Modular form 80.1.h.a Modular form 80.1.h.a.79.1
2-80-1.1-c1-0-0	$0.799$	$0.638$	$2$	$2^{4} \cdot 5$	1.1		$1.0$	$1$	✓	$1$	$0$	$2.39961$	Elliptic curve 80.a Modular form 80.2.a.a Modular form 80.2.a.a.1.1
2-80-1.1-c1-0-1	$0.799$	$0.638$	$2$	$2^{4} \cdot 5$	1.1		$1.0$	$1$	✓	$1$	$0$	$2.76929$	Elliptic curve 80.b Modular form 80.2.a.b Modular form 80.2.a.b.1.1
2-80-1.1-c3-0-0	$2.17$	$4.72$	$2$	$2^{4} \cdot 5$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.02460$	Modular form 80.4.a.a Modular form 80.4.a.a.1.1
2-80-1.1-c3-0-1	$2.17$	$4.72$	$2$	$2^{4} \cdot 5$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.40292$	Modular form 80.4.a.c Modular form 80.4.a.c.1.1
2-80-1.1-c3-0-2	$2.17$	$4.72$	$2$	$2^{4} \cdot 5$	1.1		$3.0$	$3$	✓	$1$	$0$	$1.88698$	Modular form 80.4.a.e Modular form 80.4.a.e.1.1
2-80-1.1-c3-0-3	$2.17$	$4.72$	$2$	$2^{4} \cdot 5$	1.1		$3.0$	$3$	✓	$1$	$0$	$2.07950$	Modular form 80.4.a.f Modular form 80.4.a.f.1.1
2-80-1.1-c3-0-4	$2.17$	$4.72$	$2$	$2^{4} \cdot 5$	1.1		$3.0$	$3$	✓	$-1$	$1$	$2.75461$	Modular form 80.4.a.b Modular form 80.4.a.b.1.1
2-80-1.1-c3-0-5	$2.17$	$4.72$	$2$	$2^{4} \cdot 5$	1.1		$3.0$	$3$	✓	$-1$	$1$	$2.85631$	Modular form 80.4.a.d Modular form 80.4.a.d.1.1
2-80-1.1-c5-0-0	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$1$	$0$	$0.626774$	Modular form 80.6.a.b Modular form 80.6.a.b.1.1
2-80-1.1-c5-0-2	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$1$	$0$	$1.04238$	Modular form 80.6.a.c Modular form 80.6.a.c.1.1
2-80-1.1-c5-0-3	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$1$	$0$	$1.39329$	Modular form 80.6.a.f Modular form 80.6.a.f.1.1
2-80-1.1-c5-0-4	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$1$	$0$	$1.58096$	Modular form 80.6.a.h Modular form 80.6.a.h.1.1
2-80-1.1-c5-0-6	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$-1$	$1$	$1.86359$	Modular form 80.6.a.a Modular form 80.6.a.a.1.1
2-80-1.1-c5-0-7	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$-1$	$1$	$2.29762$	Modular form 80.6.a.d Modular form 80.6.a.d.1.1
2-80-1.1-c5-0-8	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$-1$	$1$	$2.40577$	Modular form 80.6.a.e Modular form 80.6.a.e.1.1
2-80-1.1-c5-0-9	$3.58$	$12.8$	$2$	$2^{4} \cdot 5$	1.1		$5.0$	$5$	✓	$-1$	$1$	$2.76264$	Modular form 80.6.a.g Modular form 80.6.a.g.1.1
2-80-1.1-c7-0-10	$4.99$	$24.9$	$2$	$2^{4} \cdot 5$	1.1		$7.0$	$7$	✓	$-1$	$1$	$1.90938$	Modular form 80.8.a.b Modular form 80.8.a.b.1.1
2-80-1.1-c7-0-12	$4.99$	$24.9$	$2$	$2^{4} \cdot 5$	1.1		$7.0$	$7$	✓	$-1$	$1$	$2.21565$	Modular form 80.8.a.c Modular form 80.8.a.c.1.1
2-80-1.1-c7-0-4	$4.99$	$24.9$	$2$	$2^{4} \cdot 5$	1.1		$7.0$	$7$	✓	$1$	$0$	$0.858290$	Modular form 80.8.a.a Modular form 80.8.a.a.1.1
2-80-1.1-c7-0-9	$4.99$	$24.9$	$2$	$2^{4} \cdot 5$	1.1		$7.0$	$7$	✓	$1$	$0$	$1.40512$	Modular form 80.8.a.d Modular form 80.8.a.d.1.1
2-80-1.1-c9-0-0	$6.41$	$41.2$	$2$	$2^{4} \cdot 5$	1.1		$9.0$	$9$	✓	$1$	$0$	$0.196487$	Modular form 80.10.a.a Modular form 80.10.a.a.1.1
2-80-1.1-c9-0-14	$6.41$	$41.2$	$2$	$2^{4} \cdot 5$	1.1		$9.0$	$9$	✓	$-1$	$1$	$1.83624$	Modular form 80.10.a.c Modular form 80.10.a.c.1.1
2-80-1.1-c9-0-17	$6.41$	$41.2$	$2$	$2^{4} \cdot 5$	1.1		$9.0$	$9$	✓	$-1$	$1$	$2.26613$	Modular form 80.10.a.e Modular form 80.10.a.e.1.1
2-80-1.1-c9-0-4	$6.41$	$41.2$	$2$	$2^{4} \cdot 5$	1.1		$9.0$	$9$	✓	$1$	$0$	$0.807935$	Modular form 80.10.a.b Modular form 80.10.a.b.1.1
2-80-1.1-c9-0-6	$6.41$	$41.2$	$2$	$2^{4} \cdot 5$	1.1		$9.0$	$9$	✓	$1$	$0$	$0.879387$	Modular form 80.10.a.d Modular form 80.10.a.d.1.1
2-80-1.1-c11-0-12	$7.84$	$61.4$	$2$	$2^{4} \cdot 5$	1.1		$11.0$	$11$	✓	$-1$	$1$	$1.22484$	Modular form 80.12.a.b Modular form 80.12.a.b.1.1
2-80-1.1-c11-0-14	$7.84$	$61.4$	$2$	$2^{4} \cdot 5$	1.1		$11.0$	$11$	✓	$-1$	$1$	$1.28918$	Modular form 80.12.a.c Modular form 80.12.a.c.1.1
2-80-1.1-c11-0-15	$7.84$	$61.4$	$2$	$2^{4} \cdot 5$	1.1		$11.0$	$11$	✓	$1$	$0$	$1.32843$	Modular form 80.12.a.f Modular form 80.12.a.f.1.1
2-80-1.1-c11-0-19	$7.84$	$61.4$	$2$	$2^{4} \cdot 5$	1.1		$11.0$	$11$	✓	$-1$	$1$	$1.75800$	Modular form 80.12.a.e Modular form 80.12.a.e.1.1
2-80-1.1-c11-0-6	$7.84$	$61.4$	$2$	$2^{4} \cdot 5$	1.1		$11.0$	$11$	✓	$1$	$0$	$0.852176$	Modular form 80.12.a.d Modular form 80.12.a.d.1.1
2-80-1.1-c11-0-8	$7.84$	$61.4$	$2$	$2^{4} \cdot 5$	1.1		$11.0$	$11$	✓	$-1$	$1$	$0.968419$	Modular form 80.12.a.a Modular form 80.12.a.a.1.1
2-80-1.1-c13-0-1	$9.26$	$85.7$	$2$	$2^{4} \cdot 5$	1.1		$13.0$	$13$	✓	$1$	$0$	$0.210417$	Modular form 80.14.a.b Modular form 80.14.a.b.1.1
2-80-1.1-c13-0-10	$9.26$	$85.7$	$2$	$2^{4} \cdot 5$	1.1		$13.0$	$13$	✓	$1$	$0$	$0.935067$	Modular form 80.14.a.c Modular form 80.14.a.c.1.1
2-80-1.1-c13-0-16	$9.26$	$85.7$	$2$	$2^{4} \cdot 5$	1.1		$13.0$	$13$	✓	$-1$	$1$	$1.22353$	Modular form 80.14.a.a Modular form 80.14.a.a.1.1
2-80-1.1-c15-0-15	$10.6$	$114.$	$2$	$2^{4} \cdot 5$	1.1		$15.0$	$15$	✓	$1$	$0$	$0.969503$	Modular form 80.16.a.c Modular form 80.16.a.c.1.1
2-80-1.1-c15-0-23	$10.6$	$114.$	$2$	$2^{4} \cdot 5$	1.1		$15.0$	$15$	✓	$-1$	$1$	$1.30829$	Modular form 80.16.a.a Modular form 80.16.a.a.1.1
2-80-1.1-c15-0-24	$10.6$	$114.$	$2$	$2^{4} \cdot 5$	1.1		$15.0$	$15$	✓	$-1$	$1$	$1.31846$	Modular form 80.16.a.b Modular form 80.16.a.b.1.1
2-80-1.1-c17-0-31	$12.1$	$146.$	$2$	$2^{4} \cdot 5$	1.1		$17.0$	$17$	✓	$-1$	$1$	$1.57972$	Modular form 80.18.a.a Modular form 80.18.a.a.1.1
2-80-1.1-c19-0-18	$13.5$	$183.$	$2$	$2^{4} \cdot 5$	1.1		$19.0$	$19$	✓	$1$	$0$	$0.865067$	Modular form 80.20.a.a Modular form 80.20.a.a.1.1
2-80-1.1-c19-0-28	$13.5$	$183.$	$2$	$2^{4} \cdot 5$	1.1		$19.0$	$19$	✓	$-1$	$1$	$1.17577$	Modular form 80.20.a.b Modular form 80.20.a.b.1.1
2-80-1.1-c19-0-31	$13.5$	$183.$	$2$	$2^{4} \cdot 5$	1.1		$19.0$	$19$	✓	$-1$	$1$	$1.33731$	Modular form 80.20.a.c Modular form 80.20.a.c.1.1
2-80-1.1-c21-0-35	$14.9$	$223.$	$2$	$2^{4} \cdot 5$	1.1		$21.0$	$21$	✓	$-1$	$1$	$1.28769$	Modular form 80.22.a.a Modular form 80.22.a.a.1.1

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