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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
1-53-53.15-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.15 $0$ $$ $0$ $0.118$ $0$ $2.29869$ Dirichlet character \(\chi_{53} (15, \cdot) \)
1-53-53.16-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.16 $0$ $$ $0$ $0.221$ $0$ $3.19585$ Dirichlet character \(\chi_{53} (16, \cdot) \)
1-53-53.36-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.36 $0$ $$ $0$ $-0.471$ $0$ $0.842178$ Dirichlet character \(\chi_{53} (36, \cdot) \)
1-53-53.37-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.37 $0$ $$ $0$ $-0.139$ $0$ $1.79711$ Dirichlet character \(\chi_{53} (37, \cdot) \)
1-53-53.38-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.38 $0$ $$ $0$ $0.196$ $0$ $2.52459$ Dirichlet character \(\chi_{53} (38, \cdot) \)
1-53-53.28-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.28 $0$ $$ $0$ $0.471$ $0$ $3.47380$ Dirichlet character \(\chi_{53} (28, \cdot) \)
1-53-53.4-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.4 $0$ $$ $0$ $-0.0778$ $0$ $1.94741$ Dirichlet character \(\chi_{53} (4, \cdot) \)
1-53-53.40-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.40 $0$ $$ $0$ $0.0778$ $0$ $2.84928$ Dirichlet character \(\chi_{53} (40, \cdot) \)
1-53-53.29-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.29 $0$ $$ $0$ $-0.135$ $0$ $2.28909$ Dirichlet character \(\chi_{53} (29, \cdot) \)
1-53-53.42-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.42 $0$ $$ $0$ $-0.246$ $0$ $0.977468$ Dirichlet character \(\chi_{53} (42, \cdot) \)
1-53-53.43-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.43 $0$ $$ $0$ $0.139$ $0$ $1.97694$ Dirichlet character \(\chi_{53} (43, \cdot) \)
1-53-53.44-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.44 $0$ $$ $0$ $0.235$ $0$ $2.71502$ Dirichlet character \(\chi_{53} (44, \cdot) \)
1-53-53.17-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.17 $0$ $$ $0$ $0.333$ $0$ $3.36449$ Dirichlet character \(\chi_{53} (17, \cdot) \)
1-53-53.46-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.46 $0$ $$ $0$ $-0.118$ $0$ $2.25866$ Dirichlet character \(\chi_{53} (46, \cdot) \)
1-53-53.47-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.47 $0$ $$ $0$ $-0.235$ $0$ $1.41049$ Dirichlet character \(\chi_{53} (47, \cdot) \)
1-53-53.13-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.13 $0$ $$ $0$ $-0.222$ $0$ $1.11081$ Dirichlet character \(\chi_{53} (13, \cdot) \)
1-53-53.49-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.49 $0$ $$ $0$ $0.222$ $0$ $2.65620$ Dirichlet character \(\chi_{53} (49, \cdot) \)
1-53-53.11-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.11 $0$ $$ $0$ $0.135$ $0$ $3.15592$ Dirichlet character \(\chi_{53} (11, \cdot) \)
1-53-53.10-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.10 $0$ $$ $0$ $-0.221$ $0$ $1.74843$ Dirichlet character \(\chi_{53} (10, \cdot) \)
1-53-53.24-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.24 $0$ $$ $0$ $0.246$ $0$ $1.96871$ Dirichlet character \(\chi_{53} (24, \cdot) \)
1-53-53.52-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.52 $0$ $$ $0$ $0$ $0$ $1.28711$ Dirichlet character \(\chi_{53} (52, \cdot) \)
1-53-53.7-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.7 $0$ $$ $0$ $-0.196$ $0$ $0.612159$ Dirichlet character \(\chi_{53} (7, \cdot) \)
1-53-53.25-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.25 $0$ $$ $0$ $-0.333$ $0$ $1.59086$ Dirichlet character \(\chi_{53} (25, \cdot) \)
1-53-53.9-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.9 $0$ $$ $0$ $-0.0718$ $0$ $1.93121$ Dirichlet character \(\chi_{53} (9, \cdot) \)
1-53-53.6-r0-0-0 $0.246$ $0.246$ $1$ $53$ 53.6 $0$ $$ $0$ $0.0718$ $0$ $1.86866$ Dirichlet character \(\chi_{53} (6, \cdot) \)
1-53-53.8-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.8 $1$ $$ $0$ $0.0109$ $0$ $1.97289$ Dirichlet character \(\chi_{53} (8, \cdot) \)
1-53-53.50-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.50 $1$ $$ $0$ $-0.261$ $0$ $1.37631$ Dirichlet character \(\chi_{53} (50, \cdot) \)
1-53-53.12-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.12 $1$ $$ $0$ $0.450$ $0$ $2.37776$ Dirichlet character \(\chi_{53} (12, \cdot) \)
1-53-53.14-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.14 $1$ $$ $0$ $-0.0600$ $0$ $0.971955$ Dirichlet character \(\chi_{53} (14, \cdot) \)
1-53-53.18-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.18 $1$ $$ $0$ $-0.0358$ $0$ $0.995561$ Dirichlet character \(\chi_{53} (18, \cdot) \)
1-53-53.19-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.19 $1$ $$ $0$ $0.0600$ $0$ $1.88491$ Dirichlet character \(\chi_{53} (19, \cdot) \)
1-53-53.2-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.2 $1$ $$ $0$ $0.180$ $0$ $2.33187$ Dirichlet character \(\chi_{53} (2, \cdot) \)
1-53-53.20-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.20 $1$ $$ $0$ $-0.0109$ $0$ $2.38715$ Dirichlet character \(\chi_{53} (20, \cdot) \)
1-53-53.21-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.21 $1$ $$ $0$ $0.190$ $0$ $2.15927$ Dirichlet character \(\chi_{53} (21, \cdot) \)
1-53-53.22-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.22 $1$ $$ $0$ $0.484$ $0$ $3.40635$ Dirichlet character \(\chi_{53} (22, \cdot) \)
1-53-53.23-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.23 $1$ $$ $0$ $0.272$ $0$ $0.0480504$ Dirichlet character \(\chi_{53} (23, \cdot) \)
1-53-53.26-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.26 $1$ $$ $0$ $-0.203$ $0$ $0.525896$ Dirichlet character \(\chi_{53} (26, \cdot) \)
1-53-53.27-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.27 $1$ $$ $0$ $-0.180$ $0$ $1.44486$ Dirichlet character \(\chi_{53} (27, \cdot) \)
1-53-53.3-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.3 $1$ $$ $0$ $0.0358$ $0$ $0.703480$ Dirichlet character \(\chi_{53} (3, \cdot) \)
1-53-53.30-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.30 $1$ $$ $0$ $-0.272$ $0$ $3.68829$ Dirichlet character \(\chi_{53} (30, \cdot) \)
1-53-53.31-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.31 $1$ $$ $0$ $-0.450$ $0$ $0.888006$ Dirichlet character \(\chi_{53} (31, \cdot) \)
1-53-53.32-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.32 $1$ $$ $0$ $0.450$ $0$ $2.76923$ Dirichlet character \(\chi_{53} (32, \cdot) \)
1-53-53.33-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.33 $1$ $$ $0$ $0.491$ $0$ $0.00642891$ Dirichlet character \(\chi_{53} (33, \cdot) \)
1-53-53.34-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.34 $1$ $$ $0$ $0.156$ $0$ $1.44809$ Dirichlet character \(\chi_{53} (34, \cdot) \)
1-53-53.35-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.35 $1$ $$ $0$ $0.261$ $0$ $2.52622$ Dirichlet character \(\chi_{53} (35, \cdot) \)
1-53-53.39-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.39 $1$ $$ $0$ $-0.156$ $0$ $1.21994$ Dirichlet character \(\chi_{53} (39, \cdot) \)
1-53-53.41-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.41 $1$ $$ $0$ $-0.484$ $0$ $0.864610$ Dirichlet character \(\chi_{53} (41, \cdot) \)
1-53-53.45-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.45 $1$ $$ $0$ $-0.491$ $0$ $2.17596$ Dirichlet character \(\chi_{53} (45, \cdot) \)
1-53-53.48-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.48 $1$ $$ $0$ $-0.190$ $0$ $0.922648$ Dirichlet character \(\chi_{53} (48, \cdot) \)
1-53-53.5-r1-0-0 $5.69$ $5.69$ $1$ $53$ 53.5 $1$ $$ $0$ $-0.450$ $0$ $0.305285$ Dirichlet character \(\chi_{53} (5, \cdot) \)
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