Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-416e2-1.1-c0e2-0-0	$0.455$	$0.0431$	$4$	$2^{10} \cdot 13^{2}$	1.1		$0.0, 0.0$	0		$1$	$0$	$1.63117$	Artin representation 2.416.8t17.a Modular form 416.1.t.a
4-416e2-1.1-c1e2-0-0	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.523704$	Modular form 416.2.k.a
4-416e2-1.1-c1e2-0-1	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.606308$	Elliptic curve 2.0.4.1-10816.1-CMa Elliptic curve 2.0.4.1-10816.3-CMa Elliptic curve 2.2.13.1-1024.1-a Hilbert modular form 2.2.13.1-1024.1-a Modular form 416.2.f.b
4-416e2-1.1-c1e2-0-10	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.13584$	Elliptic curve 2.2.13.1-1024.1-b Elliptic curve 2.2.13.1-1024.1-k Hilbert modular form 2.2.13.1-1024.1-b Hilbert modular form 2.2.13.1-1024.1-k
4-416e2-1.1-c1e2-0-11	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.15759$	Bianchi modular form 2.0.4.1-10816.2-b Elliptic curve 2.0.4.1-10816.2-b Modular form 416.2.a.d
4-416e2-1.1-c1e2-0-12	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.16603$	Elliptic curve 2.2.13.1-1024.1-d Elliptic curve 2.2.13.1-1024.1-f Hilbert modular form 2.2.13.1-1024.1-d Hilbert modular form 2.2.13.1-1024.1-f
4-416e2-1.1-c1e2-0-13	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.20288$	Bianchi modular form 2.0.8.1-2704.1-b Elliptic curve 2.0.8.1-2704.1-b
4-416e2-1.1-c1e2-0-14	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.29470$	Elliptic curve 2.2.104.1-16.1-e Hilbert modular form 2.2.104.1-16.1-e Modular form 416.2.e.a
4-416e2-1.1-c1e2-0-15	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.33924$	Modular form 416.2.i.b
4-416e2-1.1-c1e2-0-16	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.37511$	Bianchi modular form 2.0.8.1-2704.1-d Bianchi modular form 2.0.8.1-2704.1-e Elliptic curve 2.0.8.1-2704.1-d Elliptic curve 2.0.8.1-2704.1-e
4-416e2-1.1-c1e2-0-17	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.40740$	Elliptic curve 2.2.104.1-16.1-d Elliptic curve 2.2.104.1-16.1-f Hilbert modular form 2.2.104.1-16.1-d Hilbert modular form 2.2.104.1-16.1-f
4-416e2-1.1-c1e2-0-18	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.44056$	Elliptic curve 2.2.13.1-1024.1-g Elliptic curve 2.2.13.1-1024.1-h Hilbert modular form 2.2.13.1-1024.1-g Hilbert modular form 2.2.13.1-1024.1-h
4-416e2-1.1-c1e2-0-19	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.46557$	Genus 2 curve 173056.a
4-416e2-1.1-c1e2-0-2	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.643600$	Elliptic curve 2.2.8.1-2704.1-g Hilbert modular form 2.2.8.1-2704.1-g Modular form 416.2.b.a
4-416e2-1.1-c1e2-0-20	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.49047$	Elliptic curve 2.2.13.1-1024.1-l Hilbert modular form 2.2.13.1-1024.1-l
4-416e2-1.1-c1e2-0-21	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.50897$	Elliptic curve 2.2.8.1-2704.1-c Hilbert modular form 2.2.8.1-2704.1-c
4-416e2-1.1-c1e2-0-22	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.58729$	Elliptic curve 2.2.8.1-2704.1-f Hilbert modular form 2.2.8.1-2704.1-f
4-416e2-1.1-c1e2-0-23	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$1.58958$	Elliptic curve 2.2.13.1-1024.1-j Hilbert modular form 2.2.13.1-1024.1-j Modular form 416.2.f.a
4-416e2-1.1-c1e2-0-24	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.61544$	Elliptic curve 2.2.13.1-1024.1-i Hilbert modular form 2.2.13.1-1024.1-i Modular form 416.2.f.c
4-416e2-1.1-c1e2-0-25	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.62873$	Bianchi modular form 2.0.4.1-10816.2-a Elliptic curve 2.0.4.1-10816.2-a
4-416e2-1.1-c1e2-0-26	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.72139$	Elliptic curve 2.2.104.1-16.1-a Elliptic curve 2.2.104.1-16.1-c Hilbert modular form 2.2.104.1-16.1-a Hilbert modular form 2.2.104.1-16.1-c
4-416e2-1.1-c1e2-0-27	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.74404$	Bianchi modular form 2.0.8.1-2704.1-f Elliptic curve 2.0.8.1-2704.1-f
4-416e2-1.1-c1e2-0-28	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.78743$	Elliptic curve 2.2.8.1-2704.1-a Hilbert modular form 2.2.8.1-2704.1-a
4-416e2-1.1-c1e2-0-29	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.85683$	Elliptic curve 2.2.13.1-1024.1-c Elliptic curve 2.2.13.1-1024.1-e Hilbert modular form 2.2.13.1-1024.1-c Hilbert modular form 2.2.13.1-1024.1-e
4-416e2-1.1-c1e2-0-3	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.740790$	Modular form 416.2.i.a
4-416e2-1.1-c1e2-0-30	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$2.02601$	Modular form 416.2.a.c
4-416e2-1.1-c1e2-0-31	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$2.10253$	Bianchi modular form 2.0.8.1-2704.1-a Elliptic curve 2.0.8.1-2704.1-a
4-416e2-1.1-c1e2-0-32	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$2.31740$	Elliptic curve 2.2.8.1-2704.1-e Hilbert modular form 2.2.8.1-2704.1-e
4-416e2-1.1-c1e2-0-4	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$0.756666$	Elliptic curve 2.2.13.1-1024.1-m Elliptic curve 2.2.13.1-1024.1-n Hilbert modular form 2.2.13.1-1024.1-m Hilbert modular form 2.2.13.1-1024.1-n
4-416e2-1.1-c1e2-0-5	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.846320$	Modular form 416.2.k.b
4-416e2-1.1-c1e2-0-6	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.906662$	Bianchi modular form 2.0.8.1-2704.1-c Elliptic curve 2.0.8.1-2704.1-c
4-416e2-1.1-c1e2-0-7	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.982909$	Modular form 416.2.a.e
4-416e2-1.1-c1e2-0-8	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.00743$	Elliptic curve 2.2.104.1-16.1-b Hilbert modular form 2.2.104.1-16.1-b Modular form 416.2.e.b
4-416e2-1.1-c1e2-0-9	$1.82$	$11.0$	$4$	$2^{10} \cdot 13^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.00784$	Elliptic curve 2.2.8.1-2704.1-b Elliptic curve 2.2.8.1-2704.1-d Hilbert modular form 2.2.8.1-2704.1-b Hilbert modular form 2.2.8.1-2704.1-d
4-416e2-1.1-c2e2-0-0	$3.36$	$128.$	$4$	$2^{10} \cdot 13^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.0693889$	Modular form 416.3.x.a
4-416e2-1.1-c2e2-0-1	$3.36$	$128.$	$4$	$2^{10} \cdot 13^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.234618$	Modular form 416.3.t.a
4-416e2-1.1-c2e2-0-2	$3.36$	$128.$	$4$	$2^{10} \cdot 13^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.264821$	Modular form 416.3.t.b
4-416e2-1.1-c2e2-0-3	$3.36$	$128.$	$4$	$2^{10} \cdot 13^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.978952$	Modular form 416.3.x.b
4-416e2-1.1-c3e2-0-0	$4.95$	$602.$	$4$	$2^{10} \cdot 13^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.803934$	Modular form 416.4.f.a
4-416e2-1.1-c3e2-0-1	$4.95$	$602.$	$4$	$2^{10} \cdot 13^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$1.07298$	Modular form 416.4.b.a
4-416e2-1.1-c5e2-0-0	$8.16$	$4.45\times 10^{3}$	$4$	$2^{10} \cdot 13^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.194755$	Modular form 416.6.f.a
4-416e2-1.1-c6e2-0-0	$9.78$	$9.15\times 10^{3}$	$4$	$2^{10} \cdot 13^{2}$	1.1		$6.0, 6.0$	$6$		$1$	$0$	$0.438321$	Modular form 416.7.h.d
4-416e2-1.1-c6e2-0-1	$9.78$	$9.15\times 10^{3}$	$4$	$2^{10} \cdot 13^{2}$	1.1		$6.0, 6.0$	$6$		$1$	$0$	$0.489597$	Modular form 416.7.h.c
4-416e2-1.1-c7e2-0-0	$11.3$	$1.68\times 10^{4}$	$4$	$2^{10} \cdot 13^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$0.310056$	Modular form 416.8.f.a

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