Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-228e2-1.1-c1e2-0-0	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.03331$	Elliptic curve 2.2.57.1-16.2-b Elliptic curve 2.2.57.1-16.3-b Hilbert modular form 2.2.57.1-16.2-b Hilbert modular form 2.2.57.1-16.3-b
4-228e2-1.1-c1e2-0-1	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.06391$	Elliptic curve 2.2.57.1-16.2-d Elliptic curve 2.2.57.1-16.3-d Hilbert modular form 2.2.57.1-16.2-d Hilbert modular form 2.2.57.1-16.3-d
4-228e2-1.1-c1e2-0-10	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.72203$	Bianchi modular form 2.0.4.1-3249.1-c Elliptic curve 2.0.4.1-3249.1-c
4-228e2-1.1-c1e2-0-11	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.74427$	Elliptic curve 2.2.57.1-16.2-c Elliptic curve 2.2.57.1-16.3-c Hilbert modular form 2.2.57.1-16.2-c Hilbert modular form 2.2.57.1-16.3-c
4-228e2-1.1-c1e2-0-12	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.76610$	Modular form 228.2.a.c
4-228e2-1.1-c1e2-0-13	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.85542$	Bianchi modular form 2.0.4.1-3249.1-b Elliptic curve 2.0.4.1-3249.1-b
4-228e2-1.1-c1e2-0-14	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$2.02959$	Genus 2 curve 51984.a
4-228e2-1.1-c1e2-0-15	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$2.10540$	Elliptic curve 2.2.12.1-361.1-b Hilbert modular form 2.2.12.1-361.1-b
4-228e2-1.1-c1e2-0-16	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$2.19320$	Elliptic curve 2.2.76.1-9.2-b Elliptic curve 2.2.76.1-9.3-b Hilbert modular form 2.2.76.1-9.2-b Hilbert modular form 2.2.76.1-9.3-b
4-228e2-1.1-c1e2-0-17	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$2.25610$	Bianchi modular form 2.0.3.1-5776.2-a Elliptic curve 2.0.3.1-5776.2-a
4-228e2-1.1-c1e2-0-18	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$2.49267$	Elliptic curve 2.0.3.1-5776.1-CMa Elliptic curve 2.0.3.1-5776.3-CMa Modular form 228.2.p.a
4-228e2-1.1-c1e2-0-2	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.19093$	Bianchi modular form 2.0.4.1-3249.1-a Elliptic curve 2.0.4.1-3249.1-a
4-228e2-1.1-c1e2-0-3	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.20744$	Elliptic curve 2.2.57.1-16.2-a Elliptic curve 2.2.57.1-16.3-a Hilbert modular form 2.2.57.1-16.2-a Hilbert modular form 2.2.57.1-16.3-a
4-228e2-1.1-c1e2-0-4	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.23810$	Elliptic curve 2.2.76.1-9.2-d Elliptic curve 2.2.76.1-9.3-d Hilbert modular form 2.2.76.1-9.2-d Hilbert modular form 2.2.76.1-9.3-d
4-228e2-1.1-c1e2-0-5	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$1.28047$	Elliptic curve 2.2.76.1-9.2-a Elliptic curve 2.2.76.1-9.3-a Hilbert modular form 2.2.76.1-9.2-a Hilbert modular form 2.2.76.1-9.3-a
4-228e2-1.1-c1e2-0-6	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.32745$	Elliptic curve 2.0.3.1-5776.1-CMb Elliptic curve 2.0.3.1-5776.3-CMb Elliptic curve 2.2.57.1-16.1-a Hilbert modular form 2.2.57.1-16.1-a Modular form 228.2.d.a
4-228e2-1.1-c1e2-0-7	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.40889$	Elliptic curve 2.2.12.1-361.1-a Hilbert modular form 2.2.12.1-361.1-a
4-228e2-1.1-c1e2-0-8	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.68292$	Elliptic curve 2.2.57.1-16.4-a Elliptic curve 2.2.57.1-16.5-a Elliptic curve 2.2.76.1-9.2-c Elliptic curve 2.2.76.1-9.3-c Hilbert modular form 2.2.57.1-16.4-a Hilbert modular form 2.2.57.1-16.5-a Hilbert modular form 2.2.76.1-9.2-c Hilbert modular form 2.2.76.1-9.3-c
4-228e2-1.1-c1e2-0-9	$1.34$	$3.31$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.71315$	Elliptic curve 2.0.3.1-5776.1-CMc Elliptic curve 2.0.3.1-5776.3-CMc Modular form 228.2.p.b
4-228e2-1.1-c2e2-0-0	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.429412$	Modular form 228.3.o.a
4-228e2-1.1-c2e2-0-1	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.488328$	Modular form 228.3.l.a
4-228e2-1.1-c2e2-0-2	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.808017$	Modular form 228.3.j.a
4-228e2-1.1-c2e2-0-3	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$1.26384$	Modular form 228.3.o.b
4-228e2-1.1-c2e2-0-4	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$1.46304$	Modular form 228.3.l.b
4-228e2-1.1-c2e2-0-5	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$1.51232$	Modular form 228.3.j.b
4-228e2-1.1-c2e2-0-6	$2.49$	$38.5$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$1.54056$	Modular form 228.3.l.c
4-228e2-1.1-c3e2-0-0	$3.66$	$180.$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.703994$	Modular form 228.4.a.d
4-228e2-1.1-c3e2-0-1	$3.66$	$180.$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$1.04154$	Modular form 228.4.i.a
4-228e2-1.1-c4e2-0-0	$4.85$	$555.$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$4.0, 4.0$	$4$		$1$	$0$	$0.366120$	Modular form 228.5.o.a
4-228e2-1.1-c4e2-0-1	$4.85$	$555.$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$4.0, 4.0$	$4$		$1$	$0$	$0.707895$	Modular form 228.5.o.b
4-228e2-1.1-c5e2-0-0	$6.04$	$1.33\times 10^{3}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.349844$	Modular form 228.6.d.a
4-228e2-1.1-c5e2-0-1	$6.04$	$1.33\times 10^{3}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.429168$	Modular form 228.6.p.a
4-228e2-1.1-c5e2-0-2	$6.04$	$1.33\times 10^{3}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.500764$	Modular form 228.6.p.b
4-228e2-1.1-c7e2-0-0	$8.43$	$5.07\times 10^{3}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$0.118370$	Modular form 228.8.p.a
4-228e2-1.1-c7e2-0-1	$8.43$	$5.07\times 10^{3}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$0.681854$	Modular form 228.8.d.a
4-228e2-1.1-c7e2-0-2	$8.43$	$5.07\times 10^{3}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$7.0, 7.0$	$7$		$1$	$0$	$1.08798$	Modular form 228.8.p.b
4-228e2-1.1-c11e2-0-0	$13.2$	$3.06\times 10^{4}$	$4$	$2^{4} \cdot 3^{2} \cdot 19^{2}$	1.1		$11.0, 11.0$	$11$		$1$	$0$	$0.126199$	Modular form 228.12.d.a

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