Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-45e2-1.1-c1e2-0-0	$0.599$	$0.129$	$4$	$3^{4} \cdot 5^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.84862$	Modular form 45.2.e.a
4-45e2-1.1-c1e2-0-1	$0.599$	$0.129$	$4$	$3^{4} \cdot 5^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$2.49439$	Elliptic curve 2.2.5.1-81.1-a Hilbert modular form 2.2.5.1-81.1-a Modular form 45.2.b.a
4-45e2-1.1-c3e2-0-0	$1.62$	$7.04$	$4$	$3^{4} \cdot 5^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$1.48944$	Modular form 45.4.b.a
4-45e2-1.1-c4e2-0-0	$2.15$	$21.6$	$4$	$3^{4} \cdot 5^{2}$	1.1		$4.0, 4.0$	$4$		$1$	$0$	$0.788644$	Modular form 45.5.g.b
4-45e2-1.1-c4e2-0-1	$2.15$	$21.6$	$4$	$3^{4} \cdot 5^{2}$	1.1		$4.0, 4.0$	$4$		$1$	$0$	$1.29531$	Modular form 45.5.g.a
4-45e2-1.1-c4e2-0-2	$2.15$	$21.6$	$4$	$3^{4} \cdot 5^{2}$	1.1		$4.0, 4.0$	$4$		$1$	$0$	$1.46122$	Modular form 45.5.g.c
4-45e2-1.1-c5e2-0-0	$2.68$	$52.0$	$4$	$3^{4} \cdot 5^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.392391$	Modular form 45.6.b.a
4-45e2-1.1-c5e2-0-1	$2.68$	$52.0$	$4$	$3^{4} \cdot 5^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.824106$	Modular form 45.6.a.e
4-45e2-1.1-c5e2-0-2	$2.68$	$52.0$	$4$	$3^{4} \cdot 5^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$1.02087$	Modular form 45.6.b.b
4-45e2-1.1-c5e2-0-3	$2.68$	$52.0$	$4$	$3^{4} \cdot 5^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$1.11486$	Modular form 45.6.a.f
4-45e2-1.1-c5e2-0-4	$2.68$	$52.0$	$4$	$3^{4} \cdot 5^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$2$	$1.99179$	Modular form 45.6.a.d
4-45e2-1.1-c7e2-0-0	$3.74$	$197.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$0.870243$	Modular form 45.8.b.b
4-45e2-1.1-c7e2-0-1	$3.74$	$197.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$0.886640$	Modular form 45.8.b.a
4-45e2-1.1-c7e2-0-2	$3.74$	$197.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$0.896116$	Modular form 45.8.a.h
4-45e2-1.1-c7e2-0-3	$3.74$	$197.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$2$	$1.62901$	Modular form 45.8.a.i
4-45e2-1.1-c9e2-0-0	$4.81$	$537.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$9.0, 9.0$	$9$		$1$	$0$	$0.460968$	Modular form 45.10.a.f
4-45e2-1.1-c9e2-0-1	$4.81$	$537.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$9.0, 9.0$	$9$		$1$	$0$	$0.776547$	Modular form 45.10.b.a
4-45e2-1.1-c9e2-0-2	$4.81$	$537.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$9.0, 9.0$	$9$		$1$	$0$	$0.840875$	Modular form 45.10.a.d
4-45e2-1.1-c9e2-0-3	$4.81$	$537.$	$4$	$3^{4} \cdot 5^{2}$	1.1		$9.0, 9.0$	$9$		$1$	$2$	$1.45105$	Modular form 45.10.a.e
4-45e2-1.1-c11e2-0-0	$5.88$	$1.19\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$11.0, 11.0$	$11$		$1$	$0$	$0.134516$	Modular form 45.12.b.a
4-45e2-1.1-c11e2-0-1	$5.88$	$1.19\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$11.0, 11.0$	$11$		$1$	$0$	$0.535002$	Modular form 45.12.a.e
4-45e2-1.1-c11e2-0-2	$5.88$	$1.19\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$11.0, 11.0$	$11$		$1$	$0$	$0.814406$	Modular form 45.12.a.c
4-45e2-1.1-c11e2-0-3	$5.88$	$1.19\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$11.0, 11.0$	$11$		$1$	$0$	$0.986321$	Modular form 45.12.a.d
4-45e2-1.1-c13e2-0-0	$6.94$	$2.32\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$13.0, 13.0$	$13$		$1$	$0$	$0.278141$	Modular form 45.14.b.a
4-45e2-1.1-c13e2-0-1	$6.94$	$2.32\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$13.0, 13.0$	$13$		$1$	$2$	$1.28584$	Modular form 45.14.a.c
4-45e2-1.1-c13e2-0-2	$6.94$	$2.32\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$13.0, 13.0$	$13$		$1$	$2$	$1.32266$	Modular form 45.14.a.d
4-45e2-1.1-c13e2-0-3	$6.94$	$2.32\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$13.0, 13.0$	$13$		$1$	$2$	$1.41924$	Modular form 45.14.a.b
4-45e2-1.1-c15e2-0-0	$8.01$	$4.12\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$15.0, 15.0$	$15$		$1$	$0$	$0.477239$	Modular form 45.16.b.a
4-45e2-1.1-c15e2-0-1	$8.01$	$4.12\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$15.0, 15.0$	$15$		$1$	$0$	$0.870525$	Modular form 45.16.a.b
4-45e2-1.1-c15e2-0-2	$8.01$	$4.12\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$15.0, 15.0$	$15$		$1$	$2$	$1.03141$	Modular form 45.16.a.a
4-45e2-1.1-c15e2-0-3	$8.01$	$4.12\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$15.0, 15.0$	$15$		$1$	$2$	$1.17577$	Modular form 45.16.a.c
4-45e2-1.1-c17e2-0-0	$9.08$	$6.79\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$17.0, 17.0$	$17$		$1$	$0$	$0.137082$	Modular form 45.18.a.b
4-45e2-1.1-c17e2-0-1	$9.08$	$6.79\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$17.0, 17.0$	$17$		$1$	$0$	$0.471267$	Modular form 45.18.b.a
4-45e2-1.1-c17e2-0-2	$9.08$	$6.79\times 10^{3}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$17.0, 17.0$	$17$		$1$	$2$	$1.11220$	Modular form 45.18.a.a
4-45e2-1.1-c19e2-0-0	$10.1$	$1.06\times 10^{4}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$19.0, 19.0$	$19$		$1$	$0$	$0.0288568$	Modular form 45.20.b.a
4-45e2-1.1-c19e2-0-1	$10.1$	$1.06\times 10^{4}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$19.0, 19.0$	$19$		$1$	$2$	$1.07484$	Modular form 45.20.a.a
4-45e2-1.1-c21e2-0-0	$11.2$	$1.58\times 10^{4}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$21.0, 21.0$	$21$		$1$	$0$	$0.507384$	Modular form 45.22.b.a
4-45e2-1.1-c23e2-0-0	$12.2$	$2.27\times 10^{4}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$23.0, 23.0$	$23$		$1$	$0$	$0.297949$	Modular form 45.24.b.a
4-45e2-1.1-c25e2-0-0	$13.3$	$3.17\times 10^{4}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$25.0, 25.0$	$25$		$1$	$0$	$0.504565$	Modular form 45.26.b.a
4-45e2-1.1-c27e2-0-0	$14.4$	$4.31\times 10^{4}$	$4$	$3^{4} \cdot 5^{2}$	1.1		$27.0, 27.0$	$27$		$1$	$0$	$0.145226$	Modular form 45.28.b.a

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