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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
1-712-712.101-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.101 $1$ $$ $0$ ✓ ✓ $0.391$ $0$ $0.0750427$ Dirichlet character \(\chi_{712} (101, \cdot) \)
1-712-712.107-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.107 $1$ $$ $0$ ✓ ✓ $0.343$ $0$ $1.46165$ Dirichlet character \(\chi_{712} (107, \cdot) \)
1-712-712.11-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.11 $1$ $$ $0$ ✓ ✓ $-0.0700$ $0$ $0.738416$ Dirichlet character \(\chi_{712} (11, \cdot) \)
1-712-712.117-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.117 $1$ $$ $0$ ✓ ✓ $-0.431$ $0$ $0.182548$ Dirichlet character \(\chi_{712} (117, \cdot) \)
1-712-712.123-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.123 $1$ $$ $0$ ✓ ✓ $0.169$ $0$ $0.938063$ Dirichlet character \(\chi_{712} (123, \cdot) \)
1-712-712.13-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.13 $1$ $$ $0$ ✓ ✓ $0.150$ $0$ $0.957723$ Dirichlet character \(\chi_{712} (13, \cdot) \)
1-712-712.131-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.131 $1$ $$ $0$ ✓ ✓ $0.344$ $0$ $1.05624$ Dirichlet character \(\chi_{712} (131, \cdot) \)
1-712-712.139-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.139 $1$ $$ $0$ ✓ ✓ $0.00363$ $0$ $0.912023$ Dirichlet character \(\chi_{712} (139, \cdot) \)
1-712-712.141-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.141 $1$ $$ $0$ ✓ ✓ $-0.391$ $0$ $1.67105$ Dirichlet character \(\chi_{712} (141, \cdot) \)
1-712-712.149-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.149 $1$ $$ $0$ ✓ ✓ $0.0651$ $0$ $0.681127$ Dirichlet character \(\chi_{712} (149, \cdot) \)
1-712-712.165-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.165 $1$ $$ $0$ ✓ ✓ $0.212$ $0$ $0.783530$ Dirichlet character \(\chi_{712} (165, \cdot) \)
1-712-712.181-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.181 $1$ $$ $0$ ✓ ✓ $-0.311$ $0$ $0.200831$ Dirichlet character \(\chi_{712} (181, \cdot) \)
1-712-712.187-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.187 $1$ $$ $0$ ✓ ✓ $0.115$ $0$ $1.18109$ Dirichlet character \(\chi_{712} (187, \cdot) \)
1-712-712.195-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.195 $1$ $$ $0$ ✓ ✓ $0.407$ $0$ $1.63130$ Dirichlet character \(\chi_{712} (195, \cdot) \)
1-712-712.197-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.197 $1$ $$ $0$ ✓ ✓ $-0.382$ $0$ $0.182180$ Dirichlet character \(\chi_{712} (197, \cdot) \)
1-712-712.203-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.203 $1$ $$ $0$ ✓ ✓ $0.0342$ $0$ $0.718744$ Dirichlet character \(\chi_{712} (203, \cdot) \)
1-712-712.205-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.205 $1$ $$ $0$ ✓ ✓ $-0.408$ $0$ $0.279367$ Dirichlet character \(\chi_{712} (205, \cdot) \)
1-712-712.213-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.213 $1$ $$ $0$ ✓ ✓ $0.431$ $0$ $1.14276$ Dirichlet character \(\chi_{712} (213, \cdot) \)
1-712-712.221-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.221 $1$ $$ $0$ ✓ ✓ $-0.247$ $0$ $0.759838$ Dirichlet character \(\chi_{712} (221, \cdot) \)
1-712-712.227-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.227 $1$ $$ $0$ ✓ ✓ $0.225$ $0$ $0.886549$ Dirichlet character \(\chi_{712} (227, \cdot) \)
1-712-712.229-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.229 $1$ $$ $0$ ✓ ✓ $-0.389$ $0$ $1.73735$ Dirichlet character \(\chi_{712} (229, \cdot) \)
1-712-712.235-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.235 $1$ $$ $0$ ✓ ✓ $-0.0342$ $0$ $0.404373$ Dirichlet character \(\chi_{712} (235, \cdot) \)
1-712-712.237-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.237 $1$ $$ $0$ ✓ ✓ $0.436$ $0$ $0.210143$ Dirichlet character \(\chi_{712} (237, \cdot) \)
1-712-712.251-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.251 $1$ $$ $0$ ✓ ✓ $0.00363$ $0$ $0.483823$ Dirichlet character \(\chi_{712} (251, \cdot) \)
1-712-712.253-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.253 $1$ $$ $0$ ✓ ✓ $0.382$ $0$ $1.29778$ Dirichlet character \(\chi_{712} (253, \cdot) \)
1-712-712.259-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.259 $1$ $$ $0$ ✓ ✓ $0.0700$ $0$ $0.956156$ Dirichlet character \(\chi_{712} (259, \cdot) \)
1-712-712.261-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.261 $1$ $$ $0$ ✓ ✓ $-0.468$ $0$ $1.72140$ Dirichlet character \(\chi_{712} (261, \cdot) \)
1-712-712.275-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.275 $1$ $$ $0$ ✓ ✓ $0.150$ $0$ $0.858225$ Dirichlet character \(\chi_{712} (275, \cdot) \)
1-712-712.283-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.283 $1$ $$ $0$ ✓ ✓ $-0.426$ $0$ $1.50303$ Dirichlet character \(\chi_{712} (283, \cdot) \)
1-712-712.29-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.29 $1$ $$ $0$ ✓ ✓ $0.247$ $0$ $0.892122$ Dirichlet character \(\chi_{712} (29, \cdot) \)
1-712-712.293-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.293 $1$ $$ $0$ ✓ ✓ $-0.451$ $0$ $0.393840$ Dirichlet character \(\chi_{712} (293, \cdot) \)
1-712-712.299-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.299 $1$ $$ $0$ ✓ ✓ $0.324$ $0$ $1.66020$ Dirichlet character \(\chi_{712} (299, \cdot) \)
1-712-712.307-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.307 $1$ $$ $0$ ✓ ✓ $0.266$ $0$ $0.775028$ Dirichlet character \(\chi_{712} (307, \cdot) \)
1-712-712.325-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.325 $1$ $$ $0$ ✓ ✓ $0.363$ $0$ $1.27512$ Dirichlet character \(\chi_{712} (325, \cdot) \)
1-712-712.331-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.331 $1$ $$ $0$ ✓ ✓ $-0.324$ $0$ $0.383852$ Dirichlet character \(\chi_{712} (331, \cdot) \)
1-712-712.333-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.333 $1$ $$ $0$ ✓ ✓ $-0.363$ $0$ $0.702827$ Dirichlet character \(\chi_{712} (333, \cdot) \)
1-712-712.339-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.339 $1$ $$ $0$ ✓ ✓ $0.311$ $0$ $0.761382$ Dirichlet character \(\chi_{712} (339, \cdot) \)
1-712-712.341-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.341 $1$ $$ $0$ ✓ ✓ $0.468$ $0$ $0.266796$ Dirichlet character \(\chi_{712} (341, \cdot) \)
1-712-712.347-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.347 $1$ $$ $0$ ✓ ✓ $0.226$ $0$ $1.13864$ Dirichlet character \(\chi_{712} (347, \cdot) \)
1-712-712.349-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.349 $1$ $$ $0$ ✓ ✓ $-0.119$ $0$ $1.08904$ Dirichlet character \(\chi_{712} (349, \cdot) \)
1-712-712.355-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.355 $1$ $$ $0$ ✓ ✓ ✓ ✓ $0$ $0$ $0.782409$ Dirichlet character \(\chi_{712} (355, \cdot) \)
1-712-712.37-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.37 $1$ $$ $0$ ✓ ✓ $0.0604$ $0$ $0.814264$ Dirichlet character \(\chi_{712} (37, \cdot) \)
1-712-712.389-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.389 $1$ $$ $0$ ✓ ✓ $0.408$ $0$ $1.12274$ Dirichlet character \(\chi_{712} (389, \cdot) \)
1-712-712.395-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.395 $1$ $$ $0$ ✓ ✓ $0.426$ $0$ $0.0400240$ Dirichlet character \(\chi_{712} (395, \cdot) \)
1-712-712.397-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.397 $1$ $$ $0$ ✓ ✓ $-0.212$ $0$ $0.345012$ Dirichlet character \(\chi_{712} (397, \cdot) \)
1-712-712.403-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.403 $1$ $$ $0$ ✓ ✓ $0.0230$ $0$ $0.337966$ Dirichlet character \(\chi_{712} (403, \cdot) \)
1-712-712.411-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.411 $1$ $$ $0$ ✓ ✓ $-0.169$ $0$ $0.709394$ Dirichlet character \(\chi_{712} (411, \cdot) \)
1-712-712.421-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.421 $1$ $$ $0$ ✓ ✓ $-0.425$ $0$ $0.0605191$ Dirichlet character \(\chi_{712} (421, \cdot) \)
1-712-712.427-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.427 $1$ $$ $0$ ✓ ✓ $0.0765$ $0$ $0.855828$ Dirichlet character \(\chi_{712} (427, \cdot) \)
1-712-712.435-r1-0-0 $76.5$ $76.5$ $1$ $2^{3} \cdot 89$ 712.435 $1$ $$ $0$ ✓ ✓ $-0.226$ $0$ $0.417276$ Dirichlet character \(\chi_{712} (435, \cdot) \)
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