Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-650e4-1.1-c1e4-0-0	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.139033$	Modular form 650.2.w.b
8-650e4-1.1-c1e4-0-1	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.177592$	Modular form 650.2.j.g
8-650e4-1.1-c1e4-0-10	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.460299$	Modular form 650.2.o.c
8-650e4-1.1-c1e4-0-11	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.500184$	Modular form 650.2.e.g
8-650e4-1.1-c1e4-0-12	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.515071$	Modular form 650.2.e.f
8-650e4-1.1-c1e4-0-13	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.587906$	Modular form 650.2.g.g
8-650e4-1.1-c1e4-0-14	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.645052$	Modular form 650.2.e.d
8-650e4-1.1-c1e4-0-15	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.696255$	Modular form 650.2.e.e
8-650e4-1.1-c1e4-0-16	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.715142$	Modular form 650.2.e.h
8-650e4-1.1-c1e4-0-17	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.754907$	Modular form 650.2.o.a
8-650e4-1.1-c1e4-0-18	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.04118$	Modular form 650.2.t.b
8-650e4-1.1-c1e4-0-19	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.09988$	Modular form 650.2.l.a
8-650e4-1.1-c1e4-0-2	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.193687$	Modular form 650.2.j.f
8-650e4-1.1-c1e4-0-20	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$4$	$1.14405$	Modular form 650.2.n.a
8-650e4-1.1-c1e4-0-21	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.27219$	Modular form 650.2.w.a
8-650e4-1.1-c1e4-0-22	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.30096$	Modular form 650.2.n.b
8-650e4-1.1-c1e4-0-3	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.197070$	Modular form 650.2.m.a
8-650e4-1.1-c1e4-0-4	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.201715$	Modular form 650.2.o.b
8-650e4-1.1-c1e4-0-5	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.213723$	Modular form 650.2.o.d
8-650e4-1.1-c1e4-0-6	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.247896$	Modular form 650.2.t.a
8-650e4-1.1-c1e4-0-7	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.281249$	Modular form 650.2.e.i
8-650e4-1.1-c1e4-0-8	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.326070$	Modular form 650.2.o.e
8-650e4-1.1-c1e4-0-9	$2.27$	$725.$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.426463$	Modular form 650.2.g.f
8-650e4-1.1-c2e4-0-0	$4.20$	$9.83\times 10^{4}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0660984$	Modular form 650.3.f.h
8-650e4-1.1-c2e4-0-1	$4.20$	$9.83\times 10^{4}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.461871$	Modular form 650.3.k.f
8-650e4-1.1-c2e4-0-2	$4.20$	$9.83\times 10^{4}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.491531$	Modular form 650.3.k.g
8-650e4-1.1-c2e4-0-3	$4.20$	$9.83\times 10^{4}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.728142$	Modular form 650.3.f.g
8-650e4-1.1-c3e4-0-0	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0298594$	Modular form 650.4.b.n
8-650e4-1.1-c3e4-0-1	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0416807$	Modular form 650.4.b.j
8-650e4-1.1-c3e4-0-10	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.417832$	Modular form 650.4.b.m
8-650e4-1.1-c3e4-0-11	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.739326$	Modular form 650.4.a.x
8-650e4-1.1-c3e4-0-12	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$4$	$0.888430$	Modular form 650.4.a.w
8-650e4-1.1-c3e4-0-2	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0477244$	Modular form 650.4.c.e
8-650e4-1.1-c3e4-0-3	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0479907$	Modular form 650.4.c.f
8-650e4-1.1-c3e4-0-4	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.123937$	Modular form 650.4.b.l
8-650e4-1.1-c3e4-0-5	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.247148$	Modular form 650.4.b.o
8-650e4-1.1-c3e4-0-6	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.256162$	Modular form 650.4.b.h
8-650e4-1.1-c3e4-0-7	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.335649$	Modular form 650.4.b.k
8-650e4-1.1-c3e4-0-8	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.355623$	Modular form 650.4.b.i
8-650e4-1.1-c3e4-0-9	$6.19$	$2.16\times 10^{6}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.392124$	Modular form 650.4.d.d
8-650e4-1.1-c5e4-0-0	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.0106582$	Modular form 650.6.b.f
8-650e4-1.1-c5e4-0-1	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.0188839$	Modular form 650.6.b.d
8-650e4-1.1-c5e4-0-2	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.177925$	Modular form 650.6.b.c
8-650e4-1.1-c5e4-0-3	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.274014$	Modular form 650.6.b.g
8-650e4-1.1-c5e4-0-4	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.290914$	Modular form 650.6.a.l
8-650e4-1.1-c5e4-0-5	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.293219$	Modular form 650.6.b.b
8-650e4-1.1-c5e4-0-6	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.432085$	Modular form 650.6.b.h
8-650e4-1.1-c5e4-0-7	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.507869$	Modular form 650.6.b.e
8-650e4-1.1-c5e4-0-8	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$4$	$0.753844$	Modular form 650.6.a.k
8-650e4-1.1-c5e4-0-9	$10.2$	$1.18\times 10^{8}$	$8$	$2^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$4$	$1.08155$	Modular form 650.6.a.m

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