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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
1-712-712.157-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.157 $0$ $$ $0$ $-0.311$ $0$ $0.777703$ Dirichlet character \(\chi_{712} (157, \cdot) \)
1-712-712.429-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 \(\chi_{712} (43, \cdot) \)
1-712-712.285-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.285 $0$ $$ $0$ $0.343$ $0$ $0.148755$ Dirichlet character \(\chi_{712} (285, \cdot) \)
1-712-712.437-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.437 $0$ $$ $0$ $0.0700$ $0$ $0.881635$ Dirichlet character \(\chi_{712} (437, \cdot) \)
1-712-712.21-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.21 $0$ $$ $0$ $-0.407$ $0$ $0.274369$ Dirichlet character \(\chi_{712} (21, \cdot) \)
1-712-712.45-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 \(\chi_{712} (461, \cdot) \)
1-712-712.291-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.291 $0$ $$ $0$ $-0.0488$ $0$ $0.563530$ Dirichlet character \(\chi_{712} (291, \cdot) \)
1-712-712.211-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.211 $0$ $$ $0$ $-0.0917$ $0$ $1.11861$ Dirichlet character \(\chi_{712} (211, \cdot) \)
1-712-712.475-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 \(\chi_{712} (483, \cdot) \)
1-712-712.485-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.485 $0$ $$ $0$ $0.266$ $0$ $1.47316$ Dirichlet character \(\chi_{712} (485, \cdot) \)
1-712-712.491-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.491 $0$ $$ $0$ $0.434$ $0$ $0.372972$ Dirichlet character \(\chi_{712} (491, \cdot) \)
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 \(\chi_{712} (163, \cdot) \)
1-712-712.499-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.499 $0$ $$ $0$ $0.348$ $0$ $1.48145$ Dirichlet character \(\chi_{712} (499, \cdot) \)
1-712-712.5-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.5 $0$ $$ $0$ $-0.343$ $0$ $2.12677$ Dirichlet character \(\chi_{712} (5, \cdot) \)
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 \(\chi_{712} (3, \cdot) \)
1-712-712.507-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.507 $0$ $$ $0$ $-0.274$ $0$ $0.824855$ Dirichlet character \(\chi_{712} (507, \cdot) \)
1-712-712.509-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.509 $0$ $$ $0$ $-0.324$ $0$ $0.433531$ Dirichlet character \(\chi_{712} (509, \cdot) \)
1-712-712.51-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.51 $0$ $$ $0$ $0.110$ $0$ $1.49510$ Dirichlet character \(\chi_{712} (51, \cdot) \)
1-712-712.515-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.515 $0$ $$ $0$ $0.311$ $0$ $1.88989$ Dirichlet character \(\chi_{712} (515, \cdot) \)
1-712-712.517-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.517 $0$ $$ $0$ $0.311$ $0$ $2.04963$ Dirichlet character \(\chi_{712} (517, \cdot) \)
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 \(\chi_{712} (301, \cdot) \)
1-712-712.525-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.525 $0$ $$ $0$ $0.226$ $0$ $1.73675$ Dirichlet character \(\chi_{712} (525, \cdot) \)
1-712-712.53-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.53 $0$ $$ $0$ $-0.344$ $0$ $0.284597$ Dirichlet character \(\chi_{712} (53, \cdot) \)
1-712-712.531-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.531 $0$ $$ $0$ $0.0633$ $0$ $0.992194$ Dirichlet character \(\chi_{712} (531, \cdot) \)
1-712-712.533-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.533 $0$ $$ $0$ $0$ $0$ $0.947188$ Dirichlet character \(\chi_{712} (533, \cdot) \)
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 \(\chi_{712} (219, \cdot) \)
1-712-712.309-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.309 $0$ $$ $0$ $0.344$ $0$ $1.42385$ Dirichlet character \(\chi_{712} (309, \cdot) \)
1-712-712.547-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.547 $0$ $$ $0$ $-0.349$ $0$ $0.248210$ Dirichlet character \(\chi_{712} (547, \cdot) \)
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 \(\chi_{712} (323, \cdot) \)
1-712-712.563-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.563 $0$ $$ $0$ $-0.247$ $0$ $0.580024$ Dirichlet character \(\chi_{712} (563, \cdot) \)
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 \(\chi_{712} (133, \cdot) \)
1-712-712.571-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.571 $0$ $$ $0$ $-0.439$ $0$ $2.20881$ Dirichlet character \(\chi_{712} (571, \cdot) \)
1-712-712.573-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.573 $0$ $$ $0$ $0.426$ $0$ $0.179733$ Dirichlet character \(\chi_{712} (573, \cdot) \)
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 \(\chi_{712} (171, \cdot) \)
1-712-712.581-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.581 $0$ $$ $0$ $0.0230$ $0$ $0.876745$ Dirichlet character \(\chi_{712} (581, \cdot) \)
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 \(\chi_{712} (173, \cdot) \)
1-712-712.589-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.589 $0$ $$ $0$ $-0.169$ $0$ $0.509280$ Dirichlet character \(\chi_{712} (589, \cdot) \)
1-712-712.59-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.59 $0$ $$ $0$ $-0.0633$ $0$ $0.935203$ Dirichlet character \(\chi_{712} (59, \cdot) \)
1-712-712.595-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.595 $0$ $$ $0$ $-0.348$ $0$ $0.492535$ Dirichlet character \(\chi_{712} (595, \cdot) \)
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 \(\chi_{712} (125, \cdot) \)
1-712-712.109-r0-0-0 $3.30$ $3.30$ $1$ $2^{3} \cdot 89$ 712.109 $0$ $$ $0$ $-0.225$ $0$ $1.04086$ Dirichlet character \(\chi_{712} (109, \cdot) \)
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