Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-1152e4-1.1-c0e4-0-0	$0.758$	$0.109$	$8$	$2^{28} \cdot 3^{8}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.642912$	Modular form 1152.1.h.a
8-1152e4-1.1-c0e4-0-1	$0.758$	$0.109$	$8$	$2^{28} \cdot 3^{8}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.906721$	Modular form 1152.1.t.a
8-1152e4-1.1-c1e4-0-0	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.116575$	Modular form 1152.2.f.a
8-1152e4-1.1-c1e4-0-1	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.197312$	Modular form 1152.2.d.h
8-1152e4-1.1-c1e4-0-10	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.585784$	Modular form 1152.2.f.c
8-1152e4-1.1-c1e4-0-11	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.612262$	Modular form 1152.2.f.d
8-1152e4-1.1-c1e4-0-12	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.624231$	Modular form 1152.2.c.c
8-1152e4-1.1-c1e4-0-13	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.647347$	Modular form 1152.2.c.d
8-1152e4-1.1-c1e4-0-14	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.685829$	Modular form 1152.2.p.b
8-1152e4-1.1-c1e4-0-15	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$4$	$1.37024$	Modular form 1152.2.r.b
8-1152e4-1.1-c1e4-0-16	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$4$	$1.59702$	Modular form 1152.2.r.a
8-1152e4-1.1-c1e4-0-2	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.233360$	Modular form 1152.2.r.c
8-1152e4-1.1-c1e4-0-3	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.271766$	Modular form 1152.2.c.b
8-1152e4-1.1-c1e4-0-4	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.274707$	Modular form 1152.2.d.g
8-1152e4-1.1-c1e4-0-5	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.292868$	Modular form 1152.2.c.a
8-1152e4-1.1-c1e4-0-6	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.305950$	Modular form 1152.2.f.b
8-1152e4-1.1-c1e4-0-7	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.386130$	Modular form 1152.2.v.a
8-1152e4-1.1-c1e4-0-8	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.474156$	Modular form 1152.2.p.a
8-1152e4-1.1-c1e4-0-9	$3.03$	$7.16\times 10^{3}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.578120$	Modular form 1152.2.r.d
8-1152e4-1.1-c2e4-0-0	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.00912714$	Modular form 1152.3.e.e
8-1152e4-1.1-c2e4-0-1	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0150151$	Modular form 1152.3.e.c
8-1152e4-1.1-c2e4-0-10	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.314531$	Modular form 1152.3.b.f
8-1152e4-1.1-c2e4-0-11	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.381307$	Modular form 1152.3.h.d
8-1152e4-1.1-c2e4-0-12	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.404912$	Modular form 1152.3.e.b
8-1152e4-1.1-c2e4-0-13	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.440676$	Modular form 1152.3.b.h
8-1152e4-1.1-c2e4-0-14	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.522464$	Modular form 1152.3.e.h
8-1152e4-1.1-c2e4-0-15	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.589781$	Modular form 1152.3.b.g
8-1152e4-1.1-c2e4-0-16	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.604706$	Modular form 1152.3.e.g
8-1152e4-1.1-c2e4-0-17	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.659504$	Modular form 1152.3.e.d
8-1152e4-1.1-c2e4-0-2	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0525221$	Modular form 1152.3.e.f
8-1152e4-1.1-c2e4-0-3	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0583262$	Modular form 1152.3.h.b
8-1152e4-1.1-c2e4-0-4	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0721039$	Modular form 1152.3.b.e
8-1152e4-1.1-c2e4-0-5	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.196680$	Modular form 1152.3.e.a
8-1152e4-1.1-c2e4-0-6	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.222931$	Modular form 1152.3.h.a
8-1152e4-1.1-c2e4-0-7	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.232830$	Modular form 1152.3.h.c
8-1152e4-1.1-c2e4-0-8	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.236959$	Modular form 1152.3.g.b
8-1152e4-1.1-c2e4-0-9	$5.60$	$9.70\times 10^{5}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.258512$	Modular form 1152.3.g.a
8-1152e4-1.1-c3e4-0-0	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0651778$	Modular form 1152.4.f.c
8-1152e4-1.1-c3e4-0-1	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0655015$	Modular form 1152.4.d.o
8-1152e4-1.1-c3e4-0-10	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.489116$	Modular form 1152.4.f.d
8-1152e4-1.1-c3e4-0-2	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0944256$	Modular form 1152.4.f.a
8-1152e4-1.1-c3e4-0-3	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.119227$	Modular form 1152.4.d.n
8-1152e4-1.1-c3e4-0-4	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.178244$	Modular form 1152.4.d.m
8-1152e4-1.1-c3e4-0-5	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.186349$	Modular form 1152.4.d.l
8-1152e4-1.1-c3e4-0-6	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.276658$	Modular form 1152.4.d.i
8-1152e4-1.1-c3e4-0-7	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.359451$	Modular form 1152.4.d.j
8-1152e4-1.1-c3e4-0-8	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.425183$	Modular form 1152.4.f.b
8-1152e4-1.1-c3e4-0-9	$8.24$	$2.13\times 10^{7}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.457004$	Modular form 1152.4.d.k
8-1152e4-1.1-c4e4-0-0	$10.9$	$2.01\times 10^{8}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.0559286$	Modular form 1152.5.b.f
8-1152e4-1.1-c4e4-0-1	$10.9$	$2.01\times 10^{8}$	$8$	$2^{28} \cdot 3^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.102376$	Modular form 1152.5.h.b

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