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Lowest zero Conductor Analytic conductor Central character Analytic rank
Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
Arithmetic
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Results (1-50 of 1697 matches)

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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
1-1699-1699.100-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.100 $0$ 0 ✓ ✓ $0.102$ $0$ $1.01273$ Character $\chi_{1699}(100, \cdot)$
1-1699-1699.1003-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1003 $0$ 0 ✓ ✓ $0.459$ $0$ $0.355181$ Character $\chi_{1699}(1003, \cdot)$
1-1699-1699.1004-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1004 $0$ 0 ✓ ✓ $-0.260$ $0$ $0.456029$ Character $\chi_{1699}(1004, \cdot)$
1-1699-1699.1005-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1005 $0$ 0 ✓ ✓ $0.362$ $0$ $1.21353$ Character $\chi_{1699}(1005, \cdot)$
1-1699-1699.1006-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1006 $0$ 0 ✓ ✓ $-0.465$ $0$ $0.228830$ Character $\chi_{1699}(1006, \cdot)$
1-1699-1699.1008-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1008 $0$ 0 ✓ ✓ $-0.281$ $0$ $0.867237$ Character $\chi_{1699}(1008, \cdot)$
1-1699-1699.1010-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1010 $0$ 0 ✓ ✓ $-0.293$ $0$ $0.120671$ Character $\chi_{1699}(1010, \cdot)$
1-1699-1699.1013-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1013 $0$ 0 ✓ ✓ $-0.330$ $0$ $1.70351$ Character $\chi_{1699}(1013, \cdot)$
1-1699-1699.1014-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1014 $0$ 0 ✓ ✓ $0.368$ $0$ $1.44337$ Character $\chi_{1699}(1014, \cdot)$
1-1699-1699.1017-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1017 $0$ 0 ✓ ✓ $-0.150$ $0$ $1.29334$ Character $\chi_{1699}(1017, \cdot)$
1-1699-1699.1019-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1019 $0$ 0 ✓ ✓ $-0.274$ $0$ $0.437203$ Character $\chi_{1699}(1019, \cdot)$
1-1699-1699.102-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.102 $0$ 0 ✓ ✓ $0.350$ $0$ $0.987542$ Character $\chi_{1699}(102, \cdot)$
1-1699-1699.1022-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1022 $0$ 0 ✓ ✓ $-0.143$ $0$ $0.600405$ Character $\chi_{1699}(1022, \cdot)$
1-1699-1699.1024-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1024 $0$ 0 ✓ ✓ $0.416$ $0$ $0.766283$ Character $\chi_{1699}(1024, \cdot)$
1-1699-1699.1025-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1025 $0$ 0 ✓ ✓ $0.181$ $0$ $1.20037$ Character $\chi_{1699}(1025, \cdot)$
1-1699-1699.1026-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1026 $0$ 0 ✓ ✓ $-0.0316$ $0$ $1.04135$ Character $\chi_{1699}(1026, \cdot)$
1-1699-1699.1028-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1028 $0$ 0 ✓ ✓ $-0.0931$ $0$ $0.336790$ Character $\chi_{1699}(1028, \cdot)$
1-1699-1699.103-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.103 $0$ 0 ✓ ✓ $-0.198$ $0$ $1.12650$ Character $\chi_{1699}(103, \cdot)$
1-1699-1699.1031-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1031 $0$ 0 ✓ ✓ $-0.197$ $0$ $0.590225$ Character $\chi_{1699}(1031, \cdot)$
1-1699-1699.1032-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1032 $0$ 0 ✓ ✓ $0.207$ $0$ $1.76152$ Character $\chi_{1699}(1032, \cdot)$
1-1699-1699.1033-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1033 $0$ 0 ✓ ✓ $0.168$ $0$ $1.23556$ Character $\chi_{1699}(1033, \cdot)$
1-1699-1699.1035-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1035 $0$ 0 ✓ ✓ $0.228$ $0$ $1.18197$ Character $\chi_{1699}(1035, \cdot)$
1-1699-1699.1036-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1036 $0$ 0 ✓ ✓ $0.0363$ $0$ $1.29901$ Character $\chi_{1699}(1036, \cdot)$
1-1699-1699.1037-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1037 $0$ 0 ✓ ✓ $-0.112$ $0$ $0.931593$ Character $\chi_{1699}(1037, \cdot)$
1-1699-1699.1038-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1038 $0$ 0 ✓ ✓ $-0.0564$ $0$ $0.822164$ Character $\chi_{1699}(1038, \cdot)$
1-1699-1699.1040-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1040 $0$ 0 ✓ ✓ $0.0465$ $0$ $0.590006$ Character $\chi_{1699}(1040, \cdot)$
1-1699-1699.1042-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1042 $0$ 0 ✓ ✓ $-0.211$ $0$ $0.537271$ Character $\chi_{1699}(1042, \cdot)$
1-1699-1699.1046-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1046 $0$ 0 ✓ ✓ $-0.244$ $0$ $1.58102$ Character $\chi_{1699}(1046, \cdot)$
1-1699-1699.1047-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1047 $0$ 0 ✓ ✓ $0.0695$ $0$ $1.02311$ Character $\chi_{1699}(1047, \cdot)$
1-1699-1699.1049-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1049 $0$ 0 ✓ ✓ $-0.486$ $0$ $0.947550$ Character $\chi_{1699}(1049, \cdot)$
1-1699-1699.1050-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1050 $0$ 0 ✓ ✓ $-0.244$ $0$ $1.11179$ Character $\chi_{1699}(1050, \cdot)$
1-1699-1699.1051-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1051 $0$ 0 ✓ ✓ $0.0856$ $0$ $0.856739$ Character $\chi_{1699}(1051, \cdot)$
1-1699-1699.1053-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1053 $0$ 0 ✓ ✓ $-0.332$ $0$ $0.0384537$ Character $\chi_{1699}(1053, \cdot)$
1-1699-1699.1054-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1054 $0$ 0 ✓ ✓ $0.433$ $0$ $0.294475$ Character $\chi_{1699}(1054, \cdot)$
1-1699-1699.1059-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1059 $0$ 0 ✓ ✓ $0.0481$ $0$ $0.823322$ Character $\chi_{1699}(1059, \cdot)$
1-1699-1699.106-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.106 $0$ 0 ✓ ✓ $0.428$ $0$ $0.120002$ Character $\chi_{1699}(106, \cdot)$
1-1699-1699.1061-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1061 $0$ 0 ✓ ✓ $0.0999$ $0$ $1.08560$ Character $\chi_{1699}(1061, \cdot)$
1-1699-1699.1069-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1069 $0$ 0 ✓ ✓ $0.356$ $0$ $0.172819$ Character $\chi_{1699}(1069, \cdot)$
1-1699-1699.107-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.107 $0$ 0 ✓ ✓ $-0.464$ $0$ $0.864969$ Character $\chi_{1699}(107, \cdot)$
1-1699-1699.1071-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1071 $0$ 0 ✓ ✓ $0.00354$ $0$ $0.548733$ Character $\chi_{1699}(1071, \cdot)$
1-1699-1699.1075-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1075 $0$ 0 ✓ ✓ $0.285$ $0$ $0.580794$ Character $\chi_{1699}(1075, \cdot)$
1-1699-1699.1078-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1078 $0$ 0 ✓ ✓ $-0.207$ $0$ $0.113468$ Character $\chi_{1699}(1078, \cdot)$
1-1699-1699.1079-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1079 $0$ 0 ✓ ✓ $-0.354$ $0$ $0.918930$ Character $\chi_{1699}(1079, \cdot)$
1-1699-1699.1080-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1080 $0$ 0 ✓ ✓ $-0.0753$ $0$ $0.918433$ Character $\chi_{1699}(1080, \cdot)$
1-1699-1699.1084-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1084 $0$ 0 ✓ ✓ $0.0913$ $0$ $0.977247$ Character $\chi_{1699}(1084, \cdot)$
1-1699-1699.1086-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1086 $0$ 0 ✓ ✓ $-0.0813$ $0$ $0.890671$ Character $\chi_{1699}(1086, \cdot)$
1-1699-1699.1088-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1088 $0$ 0 ✓ ✓ $-0.139$ $0$ $0.983931$ Character $\chi_{1699}(1088, \cdot)$
1-1699-1699.1089-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1089 $0$ 0 ✓ ✓ $0.289$ $0$ $1.32516$ Character $\chi_{1699}(1089, \cdot)$
1-1699-1699.109-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.109 $0$ 0 ✓ ✓ $-0.137$ $0$ $1.16373$ Character $\chi_{1699}(109, \cdot)$
1-1699-1699.1091-r0-0-0 $7.89$ $7.89$ $1$ $1699$ 1699.1091 $0$ 0 ✓ ✓ $0.140$ $0$ $0.168129$ Character $\chi_{1699}(1091, \cdot)$
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