Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-700e2-1.1-c0e2-0-0	$0.591$	$0.122$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$0.0, 0.0$	0		$1$	$0$	$1.09331$	Artin representation 2.700.12t11.a Modular form 700.1.d.a
4-700e2-1.1-c1e2-0-0	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.330542$	Modular form 700.2.e.a
4-700e2-1.1-c1e2-0-1	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.404204$	Modular form 700.2.i.b
4-700e2-1.1-c1e2-0-10	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.17001$	Bianchi modular form 2.0.4.1-30625.3-e Bianchi modular form 2.0.4.1-30625.3-f Elliptic curve 2.0.4.1-30625.3-e Elliptic curve 2.0.4.1-30625.3-f
4-700e2-1.1-c1e2-0-11	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.18250$	Bianchi modular form 2.0.4.1-30625.3-b Bianchi modular form 2.0.4.1-30625.3-c Elliptic curve 2.0.4.1-30625.3-b Elliptic curve 2.0.4.1-30625.3-c
4-700e2-1.1-c1e2-0-12	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.18393$	Modular form 700.2.e.c
4-700e2-1.1-c1e2-0-13	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$1.68813$	Bianchi modular form 2.0.4.1-30625.3-a Elliptic curve 2.0.4.1-30625.3-a
4-700e2-1.1-c1e2-0-14	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$2$	$1.77645$	Bianchi modular form 2.0.4.1-30625.3-d Elliptic curve 2.0.4.1-30625.3-d
4-700e2-1.1-c1e2-0-2	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.453540$	Elliptic curve 2.0.7.1-10000.1-CMa Elliptic curve 2.0.7.1-10000.5-CMa Elliptic curve 2.2.28.1-625.1-c Hilbert modular form 2.2.28.1-625.1-c Modular form 700.2.g.a
4-700e2-1.1-c1e2-0-3	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$0.685333$	Bianchi modular form 2.0.7.1-10000.1-a Bianchi modular form 2.0.7.1-10000.5-a Elliptic curve 2.0.7.1-10000.1-a Elliptic curve 2.0.7.1-10000.5-a Elliptic curve 2.2.28.1-625.1-a Elliptic curve 2.2.28.1-625.1-b Hilbert modular form 2.2.28.1-625.1-a Hilbert modular form 2.2.28.1-625.1-b
4-700e2-1.1-c1e2-0-4	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.757434$	Modular form 700.2.i.a
4-700e2-1.1-c1e2-0-5	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.790133$	Modular form 700.2.e.d
4-700e2-1.1-c1e2-0-6	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.805558$	Modular form 700.2.e.b
4-700e2-1.1-c1e2-0-7	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$0.808304$	Bianchi modular form 2.0.4.1-30625.3-g Elliptic curve 2.0.4.1-30625.3-g
4-700e2-1.1-c1e2-0-8	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$1.10346$	Modular form 700.2.i.c
4-700e2-1.1-c1e2-0-9	$2.36$	$31.2$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$-1$	$1$	$1.13781$	Bianchi modular form 2.0.7.1-10000.3-a Elliptic curve 2.0.7.1-10000.3-a
4-700e2-1.1-c2e2-0-0	$4.36$	$363.$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.196255$	Modular form 700.3.s.a
4-700e2-1.1-c2e2-0-1	$4.36$	$363.$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$2.0, 2.0$	$2$		$1$	$0$	$0.313725$	Modular form 700.3.d.a
4-700e2-1.1-c3e2-0-0	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.136263$	Modular form 700.4.i.b
4-700e2-1.1-c3e2-0-1	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.214560$	Modular form 700.4.e.a
4-700e2-1.1-c3e2-0-10	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.579029$	Modular form 700.4.a.o
4-700e2-1.1-c3e2-0-11	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.580645$	Modular form 700.4.a.p
4-700e2-1.1-c3e2-0-12	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.654396$	Modular form 700.4.e.b
4-700e2-1.1-c3e2-0-13	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.657707$	Modular form 700.4.e.g
4-700e2-1.1-c3e2-0-14	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.819270$	Modular form 700.4.e.i
4-700e2-1.1-c3e2-0-15	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$2$	$1.46558$	Modular form 700.4.a.q
4-700e2-1.1-c3e2-0-16	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$2$	$1.63277$	Modular form 700.4.e.f
4-700e2-1.1-c3e2-0-2	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.219053$	Modular form 700.4.i.d
4-700e2-1.1-c3e2-0-3	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.233159$	Modular form 700.4.e.h
4-700e2-1.1-c3e2-0-4	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.244417$	Modular form 700.4.i.a
4-700e2-1.1-c3e2-0-5	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.305245$	Modular form 700.4.e.c
4-700e2-1.1-c3e2-0-6	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.349800$	Modular form 700.4.i.c
4-700e2-1.1-c3e2-0-7	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.438136$	Modular form 700.4.e.d
4-700e2-1.1-c3e2-0-8	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.438855$	Modular form 700.4.e.e
4-700e2-1.1-c3e2-0-9	$6.42$	$1.70\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$3.0, 3.0$	$3$		$1$	$0$	$0.527795$	Modular form 700.4.a.r
4-700e2-1.1-c4e2-0-0	$8.50$	$5.23\times 10^{3}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$4.0, 4.0$	$4$		$1$	$0$	$0.216046$	Modular form 700.5.d.a
4-700e2-1.1-c5e2-0-0	$10.5$	$1.26\times 10^{4}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.0319263$	Modular form 700.6.e.c
4-700e2-1.1-c5e2-0-1	$10.5$	$1.26\times 10^{4}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.474795$	Modular form 700.6.e.a
4-700e2-1.1-c5e2-0-2	$10.5$	$1.26\times 10^{4}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.496166$	Modular form 700.6.e.d
4-700e2-1.1-c5e2-0-3	$10.5$	$1.26\times 10^{4}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.610827$	Modular form 700.6.e.b
4-700e2-1.1-c5e2-0-4	$10.5$	$1.26\times 10^{4}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$0$	$0.651926$	Modular form 700.6.a.h
4-700e2-1.1-c5e2-0-5	$10.5$	$1.26\times 10^{4}$	$4$	$2^{4} \cdot 5^{4} \cdot 7^{2}$	1.1		$5.0, 5.0$	$5$		$1$	$2$	$1.18270$	Modular form 700.6.a.g

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