Rational L-function search results

Results (34 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-45e4-1.1-c1e4-0-0	$0.599$	$0.0166$	$8$	$3^{8} \cdot 5^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$2.25947$	Modular form 45.2.f.a
8-45e4-1.1-c2e4-0-0	$1.10$	$2.26$	$8$	$3^{8} \cdot 5^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$1.02551$	Modular form 45.3.g.a
8-45e4-1.1-c2e4-0-1	$1.10$	$2.26$	$8$	$3^{8} \cdot 5^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$1.11221$	Modular form 45.3.d.a
8-45e4-1.1-c2e4-0-2	$1.10$	$2.26$	$8$	$3^{8} \cdot 5^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$1.53075$	Modular form 45.3.c.a
8-45e4-1.1-c2e4-0-3	$1.10$	$2.26$	$8$	$3^{8} \cdot 5^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$1.94628$	Modular form 45.3.g.b
8-45e4-1.1-c3e4-0-0	$1.62$	$49.6$	$8$	$3^{8} \cdot 5^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.813149$	Modular form 45.4.e.a
8-45e4-1.1-c3e4-0-1	$1.62$	$49.6$	$8$	$3^{8} \cdot 5^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.845502$	Modular form 45.4.b.b
8-45e4-1.1-c4e4-0-0	$2.15$	$468.$	$8$	$3^{8} \cdot 5^{4}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.0844791$	Modular form 45.5.g.d
8-45e4-1.1-c4e4-0-1	$2.15$	$468.$	$8$	$3^{8} \cdot 5^{4}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.564480$	Modular form 45.5.c.a
8-45e4-1.1-c5e4-0-0	$2.68$	$2.71\times 10^{3}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.237926$	Modular form 45.6.b.c
8-45e4-1.1-c5e4-0-1	$2.68$	$2.71\times 10^{3}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.618904$	Modular form 45.6.b.d
8-45e4-1.1-c6e4-0-0	$3.21$	$1.14\times 10^{4}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$6.0, 6.0, 6.0, 6.0$	$6$		$1$	$0$	$0.877358$	Modular form 45.7.g.a
8-45e4-1.1-c7e4-0-0	$3.74$	$3.90\times 10^{4}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.155095$	Modular form 45.8.f.a
8-45e4-1.1-c7e4-0-1	$3.74$	$3.90\times 10^{4}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.474486$	Modular form 45.8.b.c
8-45e4-1.1-c9e4-0-0	$4.81$	$2.88\times 10^{5}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$0$	$0.314293$	Modular form 45.10.b.b
8-45e4-1.1-c11e4-0-0	$5.88$	$1.42\times 10^{6}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$11.0, 11.0, 11.0, 11.0$	$11$		$1$	$0$	$0.330977$	Modular form 45.12.a.h
8-45e4-1.1-c11e4-0-1	$5.88$	$1.42\times 10^{6}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$11.0, 11.0, 11.0, 11.0$	$11$		$1$	$0$	$0.347373$	Modular form 45.12.b.b
8-45e4-1.1-c11e4-0-2	$5.88$	$1.42\times 10^{6}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$11.0, 11.0, 11.0, 11.0$	$11$		$1$	$4$	$1.35343$	Modular form 45.12.a.g
8-45e4-1.1-c13e4-0-0	$6.94$	$5.42\times 10^{6}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$13.0, 13.0, 13.0, 13.0$	$13$		$1$	$0$	$0.696200$	Modular form 45.14.a.g
8-45e4-1.1-c13e4-0-1	$6.94$	$5.42\times 10^{6}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$13.0, 13.0, 13.0, 13.0$	$13$		$1$	$4$	$1.22391$	Modular form 45.14.a.h
8-45e4-1.1-c17e4-0-0	$9.08$	$4.62\times 10^{7}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$0$	$0.176773$	Modular form 45.18.a.f
8-45e4-1.1-c19e4-0-0	$10.1$	$1.12\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$19.0, 19.0, 19.0, 19.0$	$19$		$1$	$0$	$0.426478$	Modular form 45.20.a.f
8-45e4-1.1-c19e4-0-1	$10.1$	$1.12\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$19.0, 19.0, 19.0, 19.0$	$19$		$1$	$4$	$0.844157$	Modular form 45.20.a.e
8-45e4-1.1-c21e4-0-0	$11.2$	$2.50\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$21.0, 21.0, 21.0, 21.0$	$21$		$1$	$0$	$0.0311556$	Modular form 45.22.a.g
8-45e4-1.1-c21e4-0-1	$11.2$	$2.50\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$21.0, 21.0, 21.0, 21.0$	$21$		$1$	$0$	$0.431237$	Modular form 45.22.a.f
8-45e4-1.1-c23e4-0-0	$12.2$	$5.17\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$23.0, 23.0, 23.0, 23.0$	$23$		$1$	$0$	$0.0279261$	Modular form 45.24.a.d
8-45e4-1.1-c23e4-0-1	$12.2$	$5.17\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$23.0, 23.0, 23.0, 23.0$	$23$		$1$	$0$	$0.356354$	Modular form 45.24.a.e
8-45e4-1.1-c23e4-0-2	$12.2$	$5.17\times 10^{8}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$23.0, 23.0, 23.0, 23.0$	$23$		$1$	$0$	$0.592003$	Modular form 45.24.a.c
8-45e4-1.1-c25e4-0-0	$13.3$	$1.00\times 10^{9}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$25.0, 25.0, 25.0, 25.0$	$25$		$1$	$4$	$0.894192$	Modular form 45.26.a.b
8-45e4-1.1-c25e4-0-1	$13.3$	$1.00\times 10^{9}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$25.0, 25.0, 25.0, 25.0$	$25$		$1$	$4$	$0.957717$	Modular form 45.26.a.c
8-45e4-1.1-c25e4-0-2	$13.3$	$1.00\times 10^{9}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$25.0, 25.0, 25.0, 25.0$	$25$		$1$	$4$	$1.00117$	Modular form 45.26.a.d
8-45e4-1.1-c27e4-0-0	$14.4$	$1.86\times 10^{9}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$27.0, 27.0, 27.0, 27.0$	$27$		$1$	$0$	$0.485969$	Modular form 45.28.a.c
8-45e4-1.1-c27e4-0-1	$14.4$	$1.86\times 10^{9}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$27.0, 27.0, 27.0, 27.0$	$27$		$1$	$4$	$0.683378$	Modular form 45.28.a.b
8-45e4-1.1-c27e4-0-2	$14.4$	$1.86\times 10^{9}$	$8$	$3^{8} \cdot 5^{4}$	1.1		$27.0, 27.0, 27.0, 27.0$	$27$		$1$	$4$	$0.748506$	Modular form 45.28.a.a

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