Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
20-161e10-1.1-c0e10-0-0	$0.283$	$1.12\times 10^{-11}$	$20$	$7^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.68117$	Modular form 161.1.l.a
20-201e10-1.1-c0e10-0-0	$0.316$	$1.03\times 10^{-10}$	$20$	$3^{10} \cdot 67^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.14623$	Modular form 201.1.k.a
20-253e10-1.1-c0e10-0-0	$0.355$	$1.02\times 10^{-9}$	$20$	$11^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.689904$	Modular form 253.1.k.a
20-345e10-1.1-c0e10-0-0	$0.414$	$2.28\times 10^{-8}$	$20$	$3^{10} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.803425$	Modular form 345.1.p.a
20-345e10-1.1-c0e10-0-1	$0.414$	$2.28\times 10^{-8}$	$20$	$3^{10} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.22839$	Modular form 345.1.p.b
20-356e10-1.1-c0e10-0-0	$0.421$	$3.13\times 10^{-8}$	$20$	$2^{20} \cdot 89^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.589899$	Modular form 356.1.l.a
20-356e10-1.1-c0e10-0-1	$0.421$	$3.13\times 10^{-8}$	$20$	$2^{20} \cdot 89^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.32961$	Modular form 356.1.j.a
20-23e10-1.1-c1e10-0-0	$0.428$	$4.36\times 10^{-8}$	$20$	$23^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$2.19372$	Modular form 23.2.c.a
20-437e10-1.1-c0e10-0-0	$0.467$	$2.43\times 10^{-7}$	$20$	$19^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.513749$	Modular form 437.1.o.a
20-460e10-1.1-c0e10-0-0	$0.479$	$4.06\times 10^{-7}$	$20$	$2^{20} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.643256$	Modular form 460.1.n.b
20-460e10-1.1-c0e10-0-1	$0.479$	$4.06\times 10^{-7}$	$20$	$2^{20} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.15179$	Modular form 460.1.n.a
20-469e10-1.1-c0e10-0-0	$0.483$	$4.93\times 10^{-7}$	$20$	$7^{10} \cdot 67^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.438075$	Modular form 469.1.v.a
20-479e10-1.1-c0e10-0-0	$0.488$	$6.09\times 10^{-7}$	$20$	$479^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.03019$	Modular form 479.1.b.b
20-23e20-1.1-c0e10-0-0	$0.513$	$1.64\times 10^{-6}$	$20$	$23^{20}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.18544$	Artin representation 2.529.33t2.a Modular form 529.1.d.a
20-536e10-1.1-c0e10-0-0	$0.517$	$1.87\times 10^{-6}$	$20$	$2^{30} \cdot 67^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.775036$	Modular form 536.1.t.a
20-597e10-1.1-c0e10-0-0	$0.545$	$5.51\times 10^{-6}$	$20$	$3^{10} \cdot 199^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.211399$	Modular form 597.1.p.a
20-599e10-1.1-c0e10-0-0	$0.546$	$5.69\times 10^{-6}$	$20$	$599^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.629465$	Modular form 599.1.b.b
20-603e10-1.1-c0e10-0-0	$0.548$	$6.09\times 10^{-6}$	$20$	$3^{20} \cdot 67^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.698924$	Modular form 603.1.x.a
20-644e10-1.1-c0e10-0-0	$0.566$	$1.17\times 10^{-5}$	$20$	$2^{20} \cdot 7^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.747838$	Modular form 644.1.r.b
20-644e10-1.1-c0e10-0-1	$0.566$	$1.17\times 10^{-5}$	$20$	$2^{20} \cdot 7^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.885394$	Modular form 644.1.r.a
20-712e10-1.1-c0e10-0-0	$0.596$	$3.20\times 10^{-5}$	$20$	$2^{30} \cdot 89^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.0877208$	Modular form 712.1.w.a
20-712e10-1.1-c0e10-0-1	$0.596$	$3.20\times 10^{-5}$	$20$	$2^{30} \cdot 89^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.06949$	Modular form 712.1.s.a
20-46e10-1.1-c1e10-0-0	$0.606$	$4.47\times 10^{-5}$	$20$	$2^{10} \cdot 23^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.26559$	Modular form 46.2.c.a
20-46e10-1.1-c1e10-0-1	$0.606$	$4.47\times 10^{-5}$	$20$	$2^{10} \cdot 23^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$2.08715$	Modular form 46.2.c.b
20-737e10-1.1-c0e10-0-0	$0.606$	$4.53\times 10^{-5}$	$20$	$11^{10} \cdot 67^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.220861$	Modular form 737.1.p.a
20-759e10-1.1-c0e10-0-0	$0.615$	$6.08\times 10^{-5}$	$20$	$3^{10} \cdot 11^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.645118$	Modular form 759.1.r.a
20-759e10-1.1-c0e10-0-1	$0.615$	$6.08\times 10^{-5}$	$20$	$3^{10} \cdot 11^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.924928$	Modular form 759.1.r.b
20-839e10-1.1-c0e10-0-0	$0.647$	$0.000165$	$20$	$839^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.443585$	Modular form 839.1.b.c
20-847e10-1.1-c0e10-0-0	$0.650$	$0.000182$	$20$	$7^{10} \cdot 11^{20}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.942693$	Modular form 847.1.o.a
20-920e10-1.1-c0e10-0-0	$0.677$	$0.000416$	$20$	$2^{30} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.249660$	Modular form 920.1.bh.a
20-920e10-1.1-c0e10-0-1	$0.677$	$0.000416$	$20$	$2^{30} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.894335$	Modular form 920.1.bh.b
20-968e10-1.1-c0e10-0-0	$0.695$	$0.000692$	$20$	$2^{30} \cdot 11^{20}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.107765$	Modular form 968.1.x.a
20-979e10-1.1-c0e10-0-0	$0.698$	$0.000775$	$20$	$11^{10} \cdot 89^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.177392$	Modular form 979.1.r.a
20-979e10-1.1-c0e10-0-1	$0.698$	$0.000775$	$20$	$11^{10} \cdot 89^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$1.09330$	Modular form 979.1.q.a
20-989e10-1.1-c0e10-0-0	$0.702$	$0.000858$	$20$	$23^{10} \cdot 43^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.722517$	Modular form 989.1.q.a
20-993e10-1.1-c0e10-0-0	$0.703$	$0.000893$	$20$	$3^{10} \cdot 331^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.849648$	Modular form 993.1.p.a
20-63e10-1.1-c1e10-0-0	$0.709$	$0.00103$	$20$	$3^{20} \cdot 7^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.04350$	Modular form 63.2.h.b
20-63e10-1.1-c1e10-0-1	$0.709$	$0.00103$	$20$	$3^{20} \cdot 7^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.43063$	Modular form 63.2.i.b
20-63e10-1.1-c1e10-0-2	$0.709$	$0.00103$	$20$	$3^{20} \cdot 7^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.58891$	Modular form 63.2.s.b
20-63e10-1.1-c1e10-0-3	$0.709$	$0.00103$	$20$	$3^{20} \cdot 7^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.84551$	Modular form 63.2.g.b
20-1035e10-1.1-c0e10-0-0	$0.718$	$0.00135$	$20$	$3^{20} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.296100$	Modular form 1035.1.bd.a
20-1035e10-1.1-c0e10-0-1	$0.718$	$0.00135$	$20$	$3^{20} \cdot 5^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.915044$	Modular form 1035.1.bd.b
20-67e10-1.1-c1e10-0-0	$0.731$	$0.00192$	$20$	$67^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$0.584560$	Modular form 67.2.c.a
20-67e10-1.1-c1e10-0-1	$0.731$	$0.00192$	$20$	$67^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.49269$	Modular form 67.2.e.a
20-67e10-1.1-c1e10-0-2	$0.731$	$0.00192$	$20$	$67^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.55511$	Modular form 67.2.e.b
20-69e10-1.1-c1e10-0-0	$0.742$	$0.00257$	$20$	$3^{10} \cdot 23^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.22816$	Modular form 69.2.e.a
20-69e10-1.1-c1e10-0-1	$0.742$	$0.00257$	$20$	$3^{10} \cdot 23^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$1.75989$	Modular form 69.2.e.b
20-1127e10-1.1-c0e10-0-0	$0.749$	$0.00316$	$20$	$7^{20} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.713313$	Modular form 1127.1.o.a
20-1139e10-1.1-c0e10-0-0	$0.753$	$0.00352$	$20$	$17^{10} \cdot 67^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.608293$	Modular form 1139.1.s.a
20-1173e10-1.1-c0e10-0-0	$0.765$	$0.00472$	$20$	$3^{10} \cdot 17^{10} \cdot 23^{10}$	1.1		$[0.0]^{10}$	0		$1$	$0$	$0.150849$	Modular form 1173.1.y.a

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