Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-294e4-1.1-c1e4-0-0	$1.53$	$30.3$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.474171$	Modular form 294.2.f.a
8-294e4-1.1-c1e4-0-1	$1.53$	$30.3$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.515034$	Modular form 294.2.d.a
8-294e4-1.1-c2e4-0-0	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0275972$	Modular form 294.3.h.a
8-294e4-1.1-c2e4-0-1	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.0499780$	Modular form 294.3.b.g
8-294e4-1.1-c2e4-0-10	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.629086$	Modular form 294.3.g.a
8-294e4-1.1-c2e4-0-11	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.786517$	Modular form 294.3.b.h
8-294e4-1.1-c2e4-0-2	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.177728$	Modular form 294.3.h.b
8-294e4-1.1-c2e4-0-3	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.214175$	Modular form 294.3.b.f
8-294e4-1.1-c2e4-0-4	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.308072$	Modular form 294.3.g.b
8-294e4-1.1-c2e4-0-5	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.365068$	Modular form 294.3.b.i
8-294e4-1.1-c2e4-0-6	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.505542$	Modular form 294.3.g.c
8-294e4-1.1-c2e4-0-7	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.511224$	Modular form 294.3.c.a
8-294e4-1.1-c2e4-0-8	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.589542$	Modular form 294.3.b.e
8-294e4-1.1-c2e4-0-9	$2.83$	$4.11\times 10^{3}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.609650$	Modular form 294.3.h.c
8-294e4-1.1-c3e4-0-0	$4.16$	$9.05\times 10^{4}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0137999$	Modular form 294.4.e.k
8-294e4-1.1-c3e4-0-1	$4.16$	$9.05\times 10^{4}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.0898788$	Modular form 294.4.e.l
8-294e4-1.1-c3e4-0-2	$4.16$	$9.05\times 10^{4}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.164208$	Modular form 294.4.e.o
8-294e4-1.1-c3e4-0-3	$4.16$	$9.05\times 10^{4}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.409795$	Modular form 294.4.e.m
8-294e4-1.1-c3e4-0-4	$4.16$	$9.05\times 10^{4}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.517541$	Modular form 294.4.e.n
8-294e4-1.1-c4e4-0-0	$5.51$	$8.53\times 10^{5}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.0137785$	Modular form 294.5.b.b
8-294e4-1.1-c4e4-0-1	$5.51$	$8.53\times 10^{5}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.0152143$	Modular form 294.5.g.b
8-294e4-1.1-c4e4-0-2	$5.51$	$8.53\times 10^{5}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.215036$	Modular form 294.5.g.a
8-294e4-1.1-c4e4-0-3	$5.51$	$8.53\times 10^{5}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.244199$	Modular form 294.5.c.a
8-294e4-1.1-c4e4-0-4	$5.51$	$8.53\times 10^{5}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.254715$	Modular form 294.5.b.c
8-294e4-1.1-c4e4-0-5	$5.51$	$8.53\times 10^{5}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$4.0, 4.0, 4.0, 4.0$	$4$		$1$	$0$	$0.754809$	Modular form 294.5.g.c
8-294e4-1.1-c5e4-0-0	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.0322615$	Modular form 294.6.e.u
8-294e4-1.1-c5e4-0-1	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.0927423$	Modular form 294.6.e.s
8-294e4-1.1-c5e4-0-2	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.180262$	Modular form 294.6.e.w
8-294e4-1.1-c5e4-0-3	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.194728$	Modular form 294.6.e.x
8-294e4-1.1-c5e4-0-4	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.257844$	Modular form 294.6.e.v
8-294e4-1.1-c5e4-0-5	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.294089$	Modular form 294.6.e.z
8-294e4-1.1-c5e4-0-6	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.473785$	Modular form 294.6.e.t
8-294e4-1.1-c5e4-0-7	$6.86$	$4.94\times 10^{6}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.505100$	Modular form 294.6.e.y
8-294e4-1.1-c7e4-0-0	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.0529047$	Modular form 294.8.e.s
8-294e4-1.1-c7e4-0-1	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.0620155$	Modular form 294.8.e.v
8-294e4-1.1-c7e4-0-2	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.180942$	Modular form 294.8.e.w
8-294e4-1.1-c7e4-0-3	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.201066$	Modular form 294.8.e.t
8-294e4-1.1-c7e4-0-4	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.254615$	Modular form 294.8.e.x
8-294e4-1.1-c7e4-0-5	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.383485$	Modular form 294.8.e.u
8-294e4-1.1-c7e4-0-6	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.388286$	Modular form 294.8.e.y
8-294e4-1.1-c7e4-0-7	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.800436$	Modular form 294.8.a.ba
8-294e4-1.1-c7e4-0-8	$9.58$	$7.11\times 10^{7}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$4$	$1.24109$	Modular form 294.8.a.z
8-294e4-1.1-c9e4-0-0	$12.3$	$5.25\times 10^{8}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$0$	$0.408587$	Modular form 294.10.a.w
8-294e4-1.1-c9e4-0-1	$12.3$	$5.25\times 10^{8}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$0$	$0.414897$	Modular form 294.10.a.x
8-294e4-1.1-c9e4-0-2	$12.3$	$5.25\times 10^{8}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$0$	$0.572200$	Modular form 294.10.a.y
8-294e4-1.1-c9e4-0-3	$12.3$	$5.25\times 10^{8}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$0$	$0.593586$	Modular form 294.10.a.ba
8-294e4-1.1-c9e4-0-4	$12.3$	$5.25\times 10^{8}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$4$	$0.885211$	Modular form 294.10.a.v
8-294e4-1.1-c9e4-0-5	$12.3$	$5.25\times 10^{8}$	$8$	$2^{4} \cdot 3^{4} \cdot 7^{8}$	1.1		$9.0, 9.0, 9.0, 9.0$	$9$		$1$	$4$	$1.50126$	Modular form 294.10.a.z

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