Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-975e4-1.1-c0e4-0-0	$0.697$	$0.0560$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.539898$	Modular form 975.1.u.a
8-975e4-1.1-c0e4-0-1	$0.697$	$0.0560$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.582052$	Modular form 975.1.bd.a
8-975e4-1.1-c0e4-0-2	$0.697$	$0.0560$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.900153$	Modular form 975.1.bd.b
8-975e4-1.1-c0e4-0-3	$0.697$	$0.0560$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$1.01539$	Modular form 975.1.z.a
8-975e4-1.1-c0e4-0-4	$0.697$	$0.0560$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$1.16407$	Modular form 975.1.j.a
8-975e4-1.1-c0e4-0-5	$0.697$	$0.0560$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$1.21217$	Modular form 975.1.y.a
8-975e4-1.1-c1e4-0-0	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.0403680$	Modular form 975.2.bo.b
8-975e4-1.1-c1e4-0-1	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.0913718$	Modular form 975.2.h.e
8-975e4-1.1-c1e4-0-10	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.231804$	Modular form 975.2.n.f
8-975e4-1.1-c1e4-0-11	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.238349$	Modular form 975.2.h.f
8-975e4-1.1-c1e4-0-12	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.238683$	Modular form 975.2.w.d
8-975e4-1.1-c1e4-0-13	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.253907$	Modular form 975.2.n.e
8-975e4-1.1-c1e4-0-14	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.271287$	Modular form 975.2.bb.c
8-975e4-1.1-c1e4-0-15	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.287067$	Modular form 975.2.w.e
8-975e4-1.1-c1e4-0-16	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.294479$	Modular form 975.2.c.h
8-975e4-1.1-c1e4-0-17	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.295053$	Modular form 975.2.o.j
8-975e4-1.1-c1e4-0-18	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.312485$	Modular form 975.2.w.f
8-975e4-1.1-c1e4-0-19	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.315660$	Modular form 975.2.n.l
8-975e4-1.1-c1e4-0-2	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.0985462$	Modular form 975.2.bb.f
8-975e4-1.1-c1e4-0-20	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.348114$	Modular form 975.2.k.a
8-975e4-1.1-c1e4-0-21	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.360910$	Modular form 975.2.o.a
8-975e4-1.1-c1e4-0-22	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.370642$	Modular form 975.2.n.i
8-975e4-1.1-c1e4-0-23	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.375575$	Modular form 975.2.bp.b
8-975e4-1.1-c1e4-0-24	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.377171$	Modular form 975.2.t.a
8-975e4-1.1-c1e4-0-25	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.408250$	Modular form 975.2.h.g
8-975e4-1.1-c1e4-0-26	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.431674$	Modular form 975.2.w.a
8-975e4-1.1-c1e4-0-27	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.438777$	Modular form 975.2.b.f
8-975e4-1.1-c1e4-0-28	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.440827$	Modular form 975.2.n.j
8-975e4-1.1-c1e4-0-29	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.447304$	Modular form 975.2.bb.h
8-975e4-1.1-c1e4-0-3	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.100367$	Modular form 975.2.bb.d
8-975e4-1.1-c1e4-0-30	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.464624$	Modular form 975.2.bp.c
8-975e4-1.1-c1e4-0-31	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.467209$	Modular form 975.2.t.b
8-975e4-1.1-c1e4-0-32	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.467892$	Modular form 975.2.n.d
8-975e4-1.1-c1e4-0-33	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.477202$	Modular form 975.2.bo.a
8-975e4-1.1-c1e4-0-34	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.492270$	Modular form 975.2.bb.g
8-975e4-1.1-c1e4-0-35	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.520585$	Modular form 975.2.o.b
8-975e4-1.1-c1e4-0-36	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.521151$	Modular form 975.2.n.c
8-975e4-1.1-c1e4-0-37	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.521484$	Modular form 975.2.i.k
8-975e4-1.1-c1e4-0-38	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.525642$	Modular form 975.2.o.f
8-975e4-1.1-c1e4-0-39	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.530905$	Modular form 975.2.w.b
8-975e4-1.1-c1e4-0-4	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.109018$	Modular form 975.2.bb.b
8-975e4-1.1-c1e4-0-40	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.531316$	Modular form 975.2.o.g
8-975e4-1.1-c1e4-0-41	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.540906$	Modular form 975.2.k.b
8-975e4-1.1-c1e4-0-42	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.555829$	Modular form 975.2.bb.a
8-975e4-1.1-c1e4-0-43	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.573292$	Modular form 975.2.n.a
8-975e4-1.1-c1e4-0-44	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.574091$	Modular form 975.2.w.c
8-975e4-1.1-c1e4-0-45	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.579442$	Modular form 975.2.o.h
8-975e4-1.1-c1e4-0-46	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.580136$	Modular form 975.2.bb.e
8-975e4-1.1-c1e4-0-47	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.595687$	Modular form 975.2.n.g
8-975e4-1.1-c1e4-0-48	$2.79$	$3.67\times 10^{3}$	$8$	$3^{4} \cdot 5^{8} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.716753$	Modular form 975.2.o.k

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