Rational L-function search results

Results (1-50 of )

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
6-71e3-71.70-c0e3-0-0	$0.188$	$4.44\times 10^{-5}$	$6$	$71^{3}$	71.70	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$2.19448$	Artin representation 2.71.7t2.a Modular form 71.1.b.a
8-77e4-1.1-c0e4-0-0	$0.196$	$2.18\times 10^{-6}$	$8$	$7^{4} \cdot 11^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$2.35278$	Modular form 77.1.j.a
8-88e4-1.1-c0e4-0-0	$0.209$	$3.72\times 10^{-6}$	$8$	$2^{12} \cdot 11^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.80284$	Modular form 88.1.l.a
8-93e4-1.1-c0e4-0-0	$0.215$	$4.64\times 10^{-6}$	$8$	$3^{4} \cdot 31^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$2.26669$	Modular form 93.1.l.a
8-10e8-1.1-c0e4-0-0	$0.223$	$6.20\times 10^{-6}$	$8$	$2^{8} \cdot 5^{8}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$2.16566$	Modular form 100.1.j.a
12-116e6-1.1-c0e6-0-0	$0.240$	$3.76\times 10^{-8}$	$12$	$2^{12} \cdot 29^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.98953$	Modular form 116.1.j.a
8-124e4-1.1-c0e4-0-0	$0.248$	$1.46\times 10^{-5}$	$8$	$2^{8} \cdot 31^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.52908$	Artin representation 2.124.16t60.a Modular form 124.1.i.a
12-129e6-1.1-c0e6-0-0	$0.253$	$7.12\times 10^{-8}$	$12$	$3^{6} \cdot 43^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.86080$	Modular form 129.1.l.a
8-133e4-1.1-c0e4-0-0	$0.257$	$1.94\times 10^{-5}$	$8$	$7^{4} \cdot 19^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.69683$	Artin representation 2.133.16t60.a Modular form 133.1.m.a
8-136e4-1.1-c0e4-0-0	$0.260$	$2.12\times 10^{-5}$	$8$	$2^{12} \cdot 17^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$2.29087$	Modular form 136.1.p.a
12-147e6-1.1-c0e6-0-0	$0.270$	$1.55\times 10^{-7}$	$12$	$3^{6} \cdot 7^{12}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.58715$	Modular form 147.1.l.a
12-148e6-1.1-c0e6-0-0	$0.271$	$1.62\times 10^{-7}$	$12$	$2^{12} \cdot 37^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.63750$	Modular form 148.1.p.a
6-151e3-151.150-c0e3-0-0	$0.274$	$0.000427$	$6$	$151^{3}$	151.150	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.69473$	Artin representation 2.151.7t2.a Modular form 151.1.b.a
12-152e6-1.1-c0e6-0-0	$0.275$	$1.90\times 10^{-7}$	$12$	$2^{18} \cdot 19^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.39037$	Modular form 152.1.u.a
20-161e10-1.1-c0e10-0-0	$0.283$	$1.12\times 10^{-11}$	$20$	$7^{10} \cdot 23^{10}$	1.1	$$	$[0.0]^{10}$	$0$		$1$	$0$	$1.68117$	Modular form 161.1.l.a
8-164e4-1.1-c0e4-0-0	$0.286$	$4.48\times 10^{-5}$	$8$	$2^{8} \cdot 41^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.53451$	Modular form 164.1.j.a
8-164e4-1.1-c0e4-0-1	$0.286$	$4.48\times 10^{-5}$	$8$	$2^{8} \cdot 41^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.73550$	Modular form 164.1.l.a
10-167e5-167.166-c0e5-0-0	$0.288$	$4.02\times 10^{-6}$	$10$	$167^{5}$	167.166	$$	$[0.0]^{5}$	$0$		$1$	$0$	$1.25497$	Modular form 167.1.b.a
8-171e4-1.1-c0e4-0-0	$0.292$	$5.30\times 10^{-5}$	$8$	$3^{8} \cdot 19^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.13558$	Artin representation 2.171.16t60.a Modular form 171.1.o.a
8-180e4-1.1-c0e4-0-0	$0.299$	$6.51\times 10^{-5}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.93238$	Modular form 180.1.m.a
8-183e4-1.1-c0e4-0-0	$0.302$	$6.95\times 10^{-5}$	$8$	$3^{4} \cdot 61^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.28232$	Modular form 183.1.l.a
8-183e4-1.1-c0e4-0-1	$0.302$	$6.95\times 10^{-5}$	$8$	$3^{4} \cdot 61^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.77380$	Modular form 183.1.n.a
12-191e6-1.1-c0e6-0-0	$0.308$	$7.50\times 10^{-7}$	$12$	$191^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.06036$	Modular form 191.1.b.a
8-195e4-1.1-c0e4-0-0	$0.311$	$8.96\times 10^{-5}$	$8$	$3^{4} \cdot 5^{4} \cdot 13^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.66422$	Modular form 195.1.e.a
6-199e3-199.198-c0e3-0-0	$0.315$	$0.000979$	$6$	$199^{3}$	199.198	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.60444$	Artin representation 2.199.9t3.a Modular form 199.1.b.b
20-201e10-1.1-c0e10-0-0	$0.316$	$1.03\times 10^{-10}$	$20$	$3^{10} \cdot 67^{10}$	1.1	$$	$[0.0]^{10}$	$0$		$1$	$0$	$1.14623$	Modular form 201.1.k.a
8-201e4-1.1-c0e4-0-0	$0.316$	$0.000101$	$8$	$3^{4} \cdot 67^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.15003$	Artin representation 2.201.16t60.a Modular form 201.1.g.a
12-203e6-1.1-c0e6-0-0	$0.318$	$1.08\times 10^{-6}$	$12$	$7^{6} \cdot 29^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.34940$	Modular form 203.1.n.a
12-203e6-1.1-c0e6-0-1	$0.318$	$1.08\times 10^{-6}$	$12$	$7^{6} \cdot 29^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.41372$	Modular form 203.1.o.a
12-207e6-1.1-c0e6-0-0	$0.321$	$1.21\times 10^{-6}$	$12$	$3^{12} \cdot 23^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.71818$	Modular form 207.1.f.a
8-209e4-1.1-c0e4-0-0	$0.322$	$0.000118$	$8$	$11^{4} \cdot 19^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$0.901751$	Artin representation 2.209.16t60.a Modular form 209.1.h.a
8-209e4-1.1-c0e4-0-1	$0.322$	$0.000118$	$8$	$11^{4} \cdot 19^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.52643$	Modular form 209.1.m.a
24-212e12-1.1-c0e12-0-0	$0.325$	$1.96\times 10^{-12}$	$24$	$2^{24} \cdot 53^{12}$	1.1	$$	$[0.0]^{12}$	$0$		$1$	$0$	$1.22590$	Modular form 212.1.i.a
6-215e3-215.214-c0e3-0-0	$0.327$	$0.00123$	$6$	$5^{3} \cdot 43^{3}$	215.214	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.44074$	Artin representation 2.215.7t2.a Modular form 215.1.d.a
6-215e3-215.214-c0e3-0-1	$0.327$	$0.00123$	$6$	$5^{3} \cdot 43^{3}$	215.214	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.69015$	Modular form 215.1.d.b
12-6e18-1.1-c0e6-0-0	$0.328$	$1.56\times 10^{-6}$	$12$	$2^{18} \cdot 3^{18}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.50292$	Modular form 216.1.r.a
12-217e6-1.1-c0e6-0-0	$0.329$	$1.61\times 10^{-6}$	$12$	$7^{6} \cdot 31^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.21615$	Modular form 217.1.n.a
8-219e4-1.1-c0e4-0-0	$0.330$	$0.000142$	$8$	$3^{4} \cdot 73^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.38397$	Artin representation 2.219.16t60.a Modular form 219.1.j.b
8-219e4-1.1-c0e4-0-1	$0.330$	$0.000142$	$8$	$3^{4} \cdot 73^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.48610$	Modular form 219.1.o.a
6-223e3-223.222-c0e3-0-0	$0.333$	$0.00137$	$6$	$223^{3}$	223.222	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.53931$	Artin representation 2.223.7t2.a Modular form 223.1.b.a
8-224e4-1.1-c0e4-0-0	$0.334$	$0.000156$	$8$	$2^{20} \cdot 7^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.18115$	Modular form 224.1.r.a
8-224e4-1.1-c0e4-0-1	$0.334$	$0.000156$	$8$	$2^{20} \cdot 7^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.86659$	Modular form 224.1.v.a
12-228e6-1.1-c0e6-0-0	$0.337$	$2.17\times 10^{-6}$	$12$	$2^{12} \cdot 3^{6} \cdot 19^{6}$	1.1	$$	$[0.0]^{6}$	$0$		$1$	$0$	$1.50982$	Modular form 228.1.s.a
6-236e3-59.58-c0e3-0-0	$0.343$	$0.00163$	$6$	$2^{6} \cdot 59^{3}$	59.58	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.62114$	Artin representation 2.236.9t3.a Modular form 236.1.d.a
24-237e12-1.1-c0e12-0-0	$0.343$	$7.49\times 10^{-12}$	$24$	$3^{12} \cdot 79^{12}$	1.1	$$	$[0.0]^{12}$	$0$		$1$	$0$	$1.05618$	Modular form 237.1.k.a
8-239e4-1.1-c0e4-0-0	$0.345$	$0.000202$	$8$	$239^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.54432$	Modular form 239.1.b.c
8-240e4-1.1-c0e4-0-0	$0.346$	$0.000205$	$8$	$2^{16} \cdot 3^{4} \cdot 5^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.51939$	Modular form 240.1.bm.a
16-244e8-1.1-c0e8-0-0	$0.348$	$4.83\times 10^{-8}$	$16$	$2^{16} \cdot 61^{8}$	1.1	$$	$[0.0]^{8}$	$0$		$1$	$0$	$1.09615$	Modular form 244.1.u.a
8-244e4-1.1-c0e4-0-0	$0.348$	$0.000219$	$8$	$2^{8} \cdot 61^{4}$	1.1	$$	$0.0, 0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.58874$	Modular form 244.1.n.a
6-251e3-251.250-c0e3-0-0	$0.353$	$0.00196$	$6$	$251^{3}$	251.250	$$	$0.0, 0.0, 0.0$	$0$		$1$	$0$	$1.69010$	Artin representation 2.251.7t2.a Modular form 251.1.b.a