Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-1575e4-1.1-c0e4-0-0	$0.886$	$0.381$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.0628314$	Modular form 1575.1.bj.a
8-1575e4-1.1-c0e4-0-1	$0.886$	$0.381$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.428460$	Modular form 1575.1.e.c
8-1575e4-1.1-c0e4-0-2	$0.886$	$0.381$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.564537$	Modular form 1575.1.n.a
8-1575e4-1.1-c0e4-0-3	$0.886$	$0.381$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.933100$	Artin representation 2.1575.24t65.a Modular form 1575.1.y.a
8-1575e4-1.1-c0e4-0-4	$0.886$	$0.381$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$1.09574$	Modular form 1575.1.n.b
8-1575e4-1.1-c1e4-0-0	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.129448$	Modular form 1575.2.d.d
8-1575e4-1.1-c1e4-0-1	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.138835$	Modular form 1575.2.d.j
8-1575e4-1.1-c1e4-0-10	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.437766$	Modular form 1575.2.b.d
8-1575e4-1.1-c1e4-0-11	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.448880$	Modular form 1575.2.b.e
8-1575e4-1.1-c1e4-0-12	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.497424$	Modular form 1575.2.b.b
8-1575e4-1.1-c1e4-0-13	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.539257$	Modular form 1575.2.bk.a
8-1575e4-1.1-c1e4-0-14	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.569786$	Modular form 1575.2.d.f
8-1575e4-1.1-c1e4-0-15	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.583760$	Modular form 1575.2.a.y
8-1575e4-1.1-c1e4-0-16	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.608510$	Modular form 1575.2.a.z
8-1575e4-1.1-c1e4-0-17	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.633667$	Modular form 1575.2.bk.b
8-1575e4-1.1-c1e4-0-2	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.171140$	Modular form 1575.2.b.c
8-1575e4-1.1-c1e4-0-3	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.204661$	Modular form 1575.2.d.k
8-1575e4-1.1-c1e4-0-4	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.262750$	Modular form 1575.2.d.g
8-1575e4-1.1-c1e4-0-5	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.275875$	Modular form 1575.2.bk.c
8-1575e4-1.1-c1e4-0-6	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.366627$	Modular form 1575.2.d.i
8-1575e4-1.1-c1e4-0-7	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.390295$	Modular form 1575.2.d.e
8-1575e4-1.1-c1e4-0-8	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.422260$	Modular form 1575.2.d.h
8-1575e4-1.1-c1e4-0-9	$3.54$	$2.50\times 10^{4}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.428184$	Modular form 1575.2.b.a
8-1575e4-1.1-c2e4-0-0	$6.55$	$3.39\times 10^{6}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.333479$	Modular form 1575.3.c.a
8-1575e4-1.1-c3e4-0-0	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0686589$	Modular form 1575.4.a.bf
8-1575e4-1.1-c3e4-0-1	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.308601$	Modular form 1575.4.a.bm
8-1575e4-1.1-c3e4-0-2	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.353426$	Modular form 1575.4.a.bj
8-1575e4-1.1-c3e4-0-3	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.401426$	Modular form 1575.4.a.bk
8-1575e4-1.1-c3e4-0-4	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$4$	$1.01705$	Modular form 1575.4.a.bl
8-1575e4-1.1-c3e4-0-5	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$4$	$1.01983$	Modular form 1575.4.a.bh
8-1575e4-1.1-c3e4-0-6	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$4$	$1.03884$	Modular form 1575.4.a.bg
8-1575e4-1.1-c3e4-0-7	$9.63$	$7.45\times 10^{7}$	$8$	$3^{8} \cdot 5^{8} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$4$	$1.13093$	Modular form 1575.4.a.bi

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