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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
1-1045-1045.1004-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1004 $0$ $$ $0$ $-0.168$ $0$ $0.662532$ Dirichlet character \(\chi_{1045} (1004, \cdot) \)
1-1045-1045.1009-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1009 $0$ $$ $0$ $0.485$ $0$ $0.586722$ Dirichlet character \(\chi_{1045} (1009, \cdot) \)
1-1045-1045.1017-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1017 $0$ $$ $0$ $-0.493$ $0$ $0.00114011$ Dirichlet character \(\chi_{1045} (1017, \cdot) \)
1-1045-1045.1018-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1018 $0$ $$ $0$ $-0.467$ $0$ $1.61183$ Dirichlet character \(\chi_{1045} (1018, \cdot) \)
1-1045-1045.1019-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1019 $0$ $$ $0$ $0.106$ $0$ $1.56427$ Dirichlet character \(\chi_{1045} (1019, \cdot) \)
1-1045-1045.1028-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1028 $0$ $$ $0$ $0.378$ $0$ $1.22350$ Dirichlet character \(\chi_{1045} (1028, \cdot) \)
1-1045-1045.1029-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1029 $0$ $$ $0$ $0.364$ $0$ $1.75617$ Dirichlet character \(\chi_{1045} (1029, \cdot) \)
1-1045-1045.103-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.103 $0$ $$ $0$ $0.347$ $0$ $1.98672$ Dirichlet character \(\chi_{1045} (103, \cdot) \)
1-1045-1045.1033-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1033 $0$ $$ $0$ $0.0446$ $0$ $0.806035$ Dirichlet character \(\chi_{1045} (1033, \cdot) \)
1-1045-1045.1038-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1038 $0$ $$ $0$ $0.483$ $0$ $0.482611$ Dirichlet character \(\chi_{1045} (1038, \cdot) \)
1-1045-1045.104-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.104 $0$ $$ $0$ $0.334$ $0$ $1.09176$ Dirichlet character \(\chi_{1045} (104, \cdot) \)
1-1045-1045.1042-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1042 $0$ $$ $0$ $-0.115$ $0$ $1.17781$ Dirichlet character \(\chi_{1045} (1042, \cdot) \)
1-1045-1045.1044-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.1044 $0$ $$ $0$ $0$ $0$ $1.07136$ Dirichlet character \(\chi_{1045} (1044, \cdot) \)
1-1045-1045.108-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.108 $0$ $$ $0$ $0.357$ $0$ $0.165755$ Dirichlet character \(\chi_{1045} (108, \cdot) \)
1-1045-1045.109-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.109 $0$ $$ $0$ $0.130$ $0$ $0.796098$ Dirichlet character \(\chi_{1045} (109, \cdot) \)
1-1045-1045.112-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.112 $0$ $$ $0$ $0.443$ $0$ $0.451384$ Dirichlet character \(\chi_{1045} (112, \cdot) \)
1-1045-1045.113-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.113 $0$ $$ $0$ $0.408$ $0$ $1.99841$ Dirichlet character \(\chi_{1045} (113, \cdot) \)
1-1045-1045.118-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.118 $0$ $$ $0$ $-0.383$ $0$ $2.00930$ Dirichlet character \(\chi_{1045} (118, \cdot) \)
1-1045-1045.119-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.119 $0$ $$ $0$ $-0.186$ $0$ $1.17505$ Dirichlet character \(\chi_{1045} (119, \cdot) \)
1-1045-1045.123-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.123 $0$ $$ $0$ $0.0498$ $0$ $0.908718$ Dirichlet character \(\chi_{1045} (123, \cdot) \)
1-1045-1045.129-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.129 $0$ $$ $0$ $-0.169$ $0$ $0.605566$ Dirichlet character \(\chi_{1045} (129, \cdot) \)
1-1045-1045.138-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.138 $0$ $$ $0$ $-0.0784$ $0$ $0.770778$ Dirichlet character \(\chi_{1045} (138, \cdot) \)
1-1045-1045.142-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.142 $0$ $$ $0$ $-0.0204$ $0$ $0.248109$ Dirichlet character \(\chi_{1045} (142, \cdot) \)
1-1045-1045.147-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.147 $0$ $$ $0$ $-0.277$ $0$ $0.740212$ Dirichlet character \(\chi_{1045} (147, \cdot) \)
1-1045-1045.148-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.148 $0$ $$ $0$ $-0.275$ $0$ $0.412845$ Dirichlet character \(\chi_{1045} (148, \cdot) \)
1-1045-1045.159-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.159 $0$ $$ $0$ $-0.424$ $0$ $1.78025$ Dirichlet character \(\chi_{1045} (159, \cdot) \)
1-1045-1045.164-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.164 $0$ $$ $0$ $0.0677$ $0$ $1.19875$ Dirichlet character \(\chi_{1045} (164, \cdot) \)
1-1045-1045.169-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.169 $0$ $$ $0$ $0.112$ $0$ $0.378145$ Dirichlet character \(\chi_{1045} (169, \cdot) \)
1-1045-1045.17-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.17 $0$ $$ $0$ $-0.0498$ $0$ $0.939412$ Dirichlet character \(\chi_{1045} (17, \cdot) \)
1-1045-1045.178-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.178 $0$ $$ $0$ $0.291$ $0$ $0.751767$ Dirichlet character \(\chi_{1045} (178, \cdot) \)
1-1045-1045.182-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.182 $0$ $$ $0$ $-0.291$ $0$ $0.809886$ Dirichlet character \(\chi_{1045} (182, \cdot) \)
1-1045-1045.184-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.184 $0$ $$ $0$ $0.349$ $0$ $1.45172$ Dirichlet character \(\chi_{1045} (184, \cdot) \)
1-1045-1045.189-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.189 $0$ $$ $0$ $0.246$ $0$ $1.61036$ Dirichlet character \(\chi_{1045} (189, \cdot) \)
1-1045-1045.192-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.192 $0$ $$ $0$ $-0.445$ $0$ $0.301406$ Dirichlet character \(\chi_{1045} (192, \cdot) \)
1-1045-1045.197-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.197 $0$ $$ $0$ $0.220$ $0$ $1.48442$ Dirichlet character \(\chi_{1045} (197, \cdot) \)
1-1045-1045.202-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.202 $0$ $$ $0$ $-0.340$ $0$ $1.52714$ Dirichlet character \(\chi_{1045} (202, \cdot) \)
1-1045-1045.203-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.203 $0$ $$ $0$ $0.243$ $0$ $1.31616$ Dirichlet character \(\chi_{1045} (203, \cdot) \)
1-1045-1045.204-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.204 $0$ $$ $0$ $-0.116$ $0$ $1.12077$ Dirichlet character \(\chi_{1045} (204, \cdot) \)
1-1045-1045.212-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.212 $0$ $$ $0$ $0.195$ $0$ $1.38615$ Dirichlet character \(\chi_{1045} (212, \cdot) \)
1-1045-1045.214-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.214 $0$ $$ $0$ $-0.301$ $0$ $0.422200$ Dirichlet character \(\chi_{1045} (214, \cdot) \)
1-1045-1045.219-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.219 $0$ $$ $0$ $0.475$ $0$ $0.561376$ Dirichlet character \(\chi_{1045} (219, \cdot) \)
1-1045-1045.223-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.223 $0$ $$ $0$ $-0.461$ $0$ $0.720955$ Dirichlet character \(\chi_{1045} (223, \cdot) \)
1-1045-1045.233-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.233 $0$ $$ $0$ $0.414$ $0$ $0.437904$ Dirichlet character \(\chi_{1045} (233, \cdot) \)
1-1045-1045.234-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.234 $0$ $$ $0$ $0.160$ $0$ $1.51282$ Dirichlet character \(\chi_{1045} (234, \cdot) \)
1-1045-1045.237-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.237 $0$ $$ $0$ $-0.266$ $0$ $0.667175$ Dirichlet character \(\chi_{1045} (237, \cdot) \)
1-1045-1045.249-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.249 $0$ $$ $0$ $-0.436$ $0$ $0.133287$ Dirichlet character \(\chi_{1045} (249, \cdot) \)
1-1045-1045.252-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.252 $0$ $$ $0$ $0.344$ $0$ $1.26088$ Dirichlet character \(\chi_{1045} (252, \cdot) \)
1-1045-1045.257-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.257 $0$ $$ $0$ $0.0677$ $0$ $0.638340$ Dirichlet character \(\chi_{1045} (257, \cdot) \)
1-1045-1045.259-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.259 $0$ $$ $0$ $-0.178$ $0$ $0.325454$ Dirichlet character \(\chi_{1045} (259, \cdot) \)
1-1045-1045.262-r0-0-0 $4.85$ $4.85$ $1$ $5 \cdot 11 \cdot 19$ 1045.262 $0$ $$ $0$ $0.0151$ $0$ $0.680410$ Dirichlet character \(\chi_{1045} (262, \cdot) \)
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