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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-712-712.109-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.109 $0$ $$ $0$ $-0.225$ $0$ $1.04086$ Dirichlet character \(\chi_{712} (109, \cdot) \)
1-712-712.115-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.115 $0$ $$ $0$ $0.0488$ $0$ $0.555342$ Dirichlet character \(\chi_{712} (115, \cdot) \)
1-712-712.125-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.125 $0$ $$ $0$ $-0.0230$ $0$ $1.06866$ Dirichlet character \(\chi_{712} (125, \cdot) \)
1-712-712.133-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.133 $0$ $$ $0$ $-0.401$ $0$ $0.783169$ Dirichlet character \(\chi_{712} (133, \cdot) \)
1-712-712.147-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.147 $0$ $$ $0$ $-0.136$ $0$ $0.900458$ Dirichlet character \(\chi_{712} (147, \cdot) \)
1-712-712.155-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.155 $0$ $$ $0$ $0.136$ $0$ $1.20902$ Dirichlet character \(\chi_{712} (155, \cdot) \)
1-712-712.157-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.157 $0$ $$ $0$ $-0.311$ $0$ $0.777703$ Dirichlet character \(\chi_{712} (157, \cdot) \)
1-712-712.163-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.163 $0$ $$ $0$ $-0.0315$ $0$ $0.679230$ Dirichlet character \(\chi_{712} (163, \cdot) \)
1-712-712.171-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.171 $0$ $$ $0$ $0.380$ $0$ $1.38057$ Dirichlet character \(\chi_{712} (171, \cdot) \)
1-712-712.173-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.173 $0$ $$ $0$ $-0.0765$ $0$ $1.09575$ Dirichlet character \(\chi_{712} (173, \cdot) \)
1-712-712.189-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.189 $0$ $$ $0$ $-0.0700$ $0$ $0.400188$ Dirichlet character \(\chi_{712} (189, \cdot) \)
1-712-712.19-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.19 $0$ $$ $0$ $0.117$ $0$ $0.711849$ Dirichlet character \(\chi_{712} (19, \cdot) \)
1-712-712.21-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.21 $0$ $$ $0$ $-0.407$ $0$ $0.274369$ Dirichlet character \(\chi_{712} (21, \cdot) \)
1-712-712.211-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.211 $0$ $$ $0$ $-0.0917$ $0$ $1.11861$ Dirichlet character \(\chi_{712} (211, \cdot) \)
1-712-712.219-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.219 $0$ $$ $0$ $0.287$ $0$ $1.45027$ Dirichlet character \(\chi_{712} (219, \cdot) \)
1-712-712.243-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.243 $0$ $$ $0$ $0.0748$ $0$ $1.16245$ Dirichlet character \(\chi_{712} (243, \cdot) \)
1-712-712.245-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.245 $0$ $$ $0$ $0.162$ $0$ $1.37522$ Dirichlet character \(\chi_{712} (245, \cdot) \)
1-712-712.269-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.269 $0$ $$ $0$ $-0.381$ $0$ $0.432050$ Dirichlet character \(\chi_{712} (269, \cdot) \)
1-712-712.27-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.27 $0$ $$ $0$ $0.0917$ $0$ $1.62024$ Dirichlet character \(\chi_{712} (27, \cdot) \)
1-712-712.277-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.277 $0$ $$ $0$ $-0.115$ $0$ $0.781232$ Dirichlet character \(\chi_{712} (277, \cdot) \)
1-712-712.285-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.285 $0$ $$ $0$ $0.343$ $0$ $0.148755$ Dirichlet character \(\chi_{712} (285, \cdot) \)
1-712-712.291-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.291 $0$ $$ $0$ $-0.0488$ $0$ $0.563530$ Dirichlet character \(\chi_{712} (291, \cdot) \)
1-712-712.3-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.3 $0$ $$ $0$ $0.188$ $0$ $1.43950$ Dirichlet character \(\chi_{712} (3, \cdot) \)
1-712-712.301-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.301 $0$ $$ $0$ $0.169$ $0$ $1.60926$ Dirichlet character \(\chi_{712} (301, \cdot) \)
1-712-712.309-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.309 $0$ $$ $0$ $0.344$ $0$ $1.42385$ Dirichlet character \(\chi_{712} (309, \cdot) \)
1-712-712.315-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.315 $0$ $$ $0$ $0.349$ $0$ $1.72787$ Dirichlet character \(\chi_{712} (315, \cdot) \)
1-712-712.317-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.317 $0$ $$ $0$ $0.00363$ $0$ $0.510079$ Dirichlet character \(\chi_{712} (317, \cdot) \)
1-712-712.323-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.323 $0$ $$ $0$ $0.274$ $0$ $1.44696$ Dirichlet character \(\chi_{712} (323, \cdot) \)
1-712-712.35-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.35 $0$ $$ $0$ $-0.0687$ $0$ $0.891877$ Dirichlet character \(\chi_{712} (35, \cdot) \)
1-712-712.363-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.363 $0$ $$ $0$ $-0.110$ $0$ $1.23883$ Dirichlet character \(\chi_{712} (363, \cdot) \)
1-712-712.365-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.365 $0$ $$ $0$ $0.115$ $0$ $1.24511$ Dirichlet character \(\chi_{712} (365, \cdot) \)
1-712-712.371-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.371 $0$ $$ $0$ $-0.263$ $0$ $1.07831$ Dirichlet character \(\chi_{712} (371, \cdot) \)
1-712-712.373-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.373 $0$ $$ $0$ $0.407$ $0$ $1.45196$ Dirichlet character \(\chi_{712} (373, \cdot) \)
1-712-712.379-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.379 $0$ $$ $0$ $-0.439$ $0$ $0.414791$ Dirichlet character \(\chi_{712} (379, \cdot) \)
1-712-712.381-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.381 $0$ $$ $0$ $0.0342$ $0$ $1.45694$ Dirichlet character \(\chi_{712} (381, \cdot) \)
1-712-712.387-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.387 $0$ $$ $0$ $0.439$ $0$ $1.61999$ Dirichlet character \(\chi_{712} (387, \cdot) \)
1-712-712.405-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.405 $0$ $$ $0$ $0.225$ $0$ $1.10134$ Dirichlet character \(\chi_{712} (405, \cdot) \)
1-712-712.413-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.413 $0$ $$ $0$ $-0.0342$ $0$ $1.31716$ Dirichlet character \(\chi_{712} (413, \cdot) \)
1-712-712.419-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.419 $0$ $$ $0$ $-0.0748$ $0$ $1.10122$ Dirichlet character \(\chi_{712} (419, \cdot) \)
1-712-712.429-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.429 $0$ $$ $0$ $0.00363$ $0$ $0.742202$ Dirichlet character \(\chi_{712} (429, \cdot) \)
1-712-712.43-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.43 $0$ $$ $0$ $0.247$ $0$ $1.04330$ Dirichlet character \(\chi_{712} (43, \cdot) \)
1-712-712.437-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.437 $0$ $$ $0$ $0.0700$ $0$ $0.881635$ Dirichlet character \(\chi_{712} (437, \cdot) \)
1-712-712.45-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.45 $0$ $$ $0$ $0.381$ $0$ $1.46256$ Dirichlet character \(\chi_{712} (45, \cdot) \)
1-712-712.451-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.451 $0$ $$ $0$ $0.263$ $0$ $1.71661$ Dirichlet character \(\chi_{712} (451, \cdot) \)
1-712-712.453-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.453 $0$ $$ $0$ $0.150$ $0$ $1.52663$ Dirichlet character \(\chi_{712} (453, \cdot) \)
1-712-712.459-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.459 $0$ $$ $0$ $-0.311$ $0$ $0.436999$ Dirichlet character \(\chi_{712} (459, \cdot) \)
1-712-712.461-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.461 $0$ $$ $0$ $-0.426$ $0$ $1.85982$ Dirichlet character \(\chi_{712} (461, \cdot) \)
1-712-712.475-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.475 $0$ $$ $0$ $-0.188$ $0$ $0.871929$ Dirichlet character \(\chi_{712} (475, \cdot) \)
1-712-712.477-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.477 $0$ $$ $0$ $0.324$ $0$ $1.24834$ Dirichlet character \(\chi_{712} (477, \cdot) \)
1-712-712.483-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.483 $0$ $$ $0$ $-0.380$ $0$ $0.247985$ Dirichlet character \(\chi_{712} (483, \cdot) \)
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