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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 at least 1000)

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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
1-4021-4021.10-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.10 $1$ 0 ✓ ✓ $-0.430$ $0$ $0.213928$ Character $\chi_{4021}(10, \cdot)$
1-4021-4021.1000-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1000 $1$ 0 ✓ ✓ $0.346$ $0$ $0.622263$ Character $\chi_{4021}(1000, \cdot)$
1-4021-4021.1007-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1007 $1$ 0 ✓ ✓ $-0.0979$ $0$ $1.80447$ Character $\chi_{4021}(1007, \cdot)$
1-4021-4021.1008-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1008 $1$ 0 ✓ ✓ $0.122$ $0$ $0.804396$ Character $\chi_{4021}(1008, \cdot)$
1-4021-4021.1010-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1010 $1$ 0 ✓ ✓ $0.0213$ $0$ $0.332908$ Character $\chi_{4021}(1010, \cdot)$
1-4021-4021.1011-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1011 $1$ 0 ✓ ✓ $0.0178$ $0$ $0.752081$ Character $\chi_{4021}(1011, \cdot)$
1-4021-4021.1013-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1013 $1$ 0 ✓ ✓ $-0.367$ $0$ $0.133764$ Character $\chi_{4021}(1013, \cdot)$
1-4021-4021.1014-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1014 $1$ 0 ✓ ✓ $-0.329$ $0$ $0.173587$ Character $\chi_{4021}(1014, \cdot)$
1-4021-4021.1016-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1016 $1$ 0 ✓ ✓ $0.133$ $0$ $0.190603$ Character $\chi_{4021}(1016, \cdot)$
1-4021-4021.1017-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1017 $1$ 0 ✓ ✓ $0.0346$ $0$ $0.287843$ Character $\chi_{4021}(1017, \cdot)$
1-4021-4021.1019-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1019 $1$ 0 ✓ ✓ $-0.109$ $0$ $0.497176$ Character $\chi_{4021}(1019, \cdot)$
1-4021-4021.102-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.102 $1$ 0 ✓ ✓ $-0.0409$ $0$ $0.984875$ Character $\chi_{4021}(102, \cdot)$
1-4021-4021.1021-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1021 $1$ 0 ✓ ✓ $-0.214$ $0$ $1.75716$ Character $\chi_{4021}(1021, \cdot)$
1-4021-4021.1025-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1025 $1$ 0 ✓ ✓ $0.183$ $0$ $0.426622$ Character $\chi_{4021}(1025, \cdot)$
1-4021-4021.1027-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1027 $1$ 0 ✓ ✓ $0.247$ $0$ $1.21865$ Character $\chi_{4021}(1027, \cdot)$
1-4021-4021.1028-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1028 $1$ 0 ✓ ✓ $0.186$ $0$ $0.0759690$ Character $\chi_{4021}(1028, \cdot)$
1-4021-4021.1029-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1029 $1$ 0 ✓ ✓ $0.0441$ $0$ $0.719207$ Character $\chi_{4021}(1029, \cdot)$
1-4021-4021.1030-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1030 $1$ 0 ✓ ✓ $0.223$ $0$ $0.559987$ Character $\chi_{4021}(1030, \cdot)$
1-4021-4021.1034-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1034 $1$ 0 ✓ ✓ $-0.279$ $0$ $0.380401$ Character $\chi_{4021}(1034, \cdot)$
1-4021-4021.1035-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1035 $1$ 0 ✓ ✓ $0.192$ $0$ $0.0469875$ Character $\chi_{4021}(1035, \cdot)$
1-4021-4021.1036-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1036 $1$ 0 ✓ ✓ $0.136$ $0$ $0.448207$ Character $\chi_{4021}(1036, \cdot)$
1-4021-4021.104-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.104 $1$ 0 ✓ ✓ $0.476$ $0$ $0.234029$ Character $\chi_{4021}(104, \cdot)$
1-4021-4021.1041-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1041 $1$ 0 ✓ ✓ $0.296$ $0$ $0.566678$ Character $\chi_{4021}(1041, \cdot)$
1-4021-4021.1044-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1044 $1$ 0 ✓ ✓ $0.0878$ $0$ $0.733775$ Character $\chi_{4021}(1044, \cdot)$
1-4021-4021.1046-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1046 $1$ 0 ✓ ✓ $0.303$ $0$ $0.808145$ Character $\chi_{4021}(1046, \cdot)$
1-4021-4021.1047-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1047 $1$ 0 ✓ ✓ $-0.456$ $0$ $0.323447$ Character $\chi_{4021}(1047, \cdot)$
1-4021-4021.1048-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1048 $1$ 0 ✓ ✓ $-0.401$ $0$ $0.177641$ Character $\chi_{4021}(1048, \cdot)$
1-4021-4021.1049-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1049 $1$ 0 ✓ ✓ $-0.281$ $0$ $0.129932$ Character $\chi_{4021}(1049, \cdot)$
1-4021-4021.105-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.105 $1$ 0 ✓ ✓ $-0.433$ $0$ $0.391854$ Character $\chi_{4021}(105, \cdot)$
1-4021-4021.1052-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1052 $1$ 0 ✓ ✓ $-0.0723$ $0$ $0.266042$ Character $\chi_{4021}(1052, \cdot)$
1-4021-4021.1055-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1055 $1$ 0 ✓ ✓ $0.300$ $0$ $0.664691$ Character $\chi_{4021}(1055, \cdot)$
1-4021-4021.1057-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1057 $1$ 0 ✓ ✓ $-0.246$ $0$ $0.0499004$ Character $\chi_{4021}(1057, \cdot)$
1-4021-4021.1058-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1058 $1$ 0 ✓ ✓ $0.00672$ $0$ $0.228480$ Character $\chi_{4021}(1058, \cdot)$
1-4021-4021.1059-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1059 $1$ 0 ✓ ✓ $0.0556$ $0$ $1.26427$ Character $\chi_{4021}(1059, \cdot)$
1-4021-4021.106-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.106 $1$ 0 ✓ ✓ $-0.00983$ $0$ $0.476979$ Character $\chi_{4021}(106, \cdot)$
1-4021-4021.1062-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1062 $1$ 0 ✓ ✓ $0.450$ $0$ $0.227836$ Character $\chi_{4021}(1062, \cdot)$
1-4021-4021.1064-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1064 $1$ 0 ✓ ✓ $-0.0472$ $0$ $0.0342674$ Character $\chi_{4021}(1064, \cdot)$
1-4021-4021.1067-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1067 $1$ 0 ✓ ✓ $-0.269$ $0$ $0.215418$ Character $\chi_{4021}(1067, \cdot)$
1-4021-4021.1070-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1070 $1$ 0 ✓ ✓ $0.360$ $0$ $0.558089$ Character $\chi_{4021}(1070, \cdot)$
1-4021-4021.1071-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1071 $1$ 0 ✓ ✓ $0.320$ $0$ $0.822434$ Character $\chi_{4021}(1071, \cdot)$
1-4021-4021.1073-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1073 $1$ 0 ✓ ✓ $0.150$ $0$ $1.05205$ Character $\chi_{4021}(1073, \cdot)$
1-4021-4021.1074-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1074 $1$ 0 ✓ ✓ $0.165$ $0$ $0.0431505$ Character $\chi_{4021}(1074, \cdot)$
1-4021-4021.1075-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1075 $1$ 0 ✓ ✓ $-0.125$ $0$ $2.01232$ Character $\chi_{4021}(1075, \cdot)$
1-4021-4021.1080-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1080 $1$ 0 ✓ ✓ $0.0212$ $0$ $0.267867$ Character $\chi_{4021}(1080, \cdot)$
1-4021-4021.1082-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1082 $1$ 0 ✓ ✓ $-0.245$ $0$ $0.0167568$ Character $\chi_{4021}(1082, \cdot)$
1-4021-4021.1084-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1084 $1$ 0 ✓ ✓ $-0.272$ $0$ $0.628247$ Character $\chi_{4021}(1084, \cdot)$
1-4021-4021.1086-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1086 $1$ 0 ✓ ✓ $-0.286$ $0$ $0.0384689$ Character $\chi_{4021}(1086, \cdot)$
1-4021-4021.1090-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1090 $1$ 0 ✓ ✓ $0.390$ $0$ $0.728774$ Character $\chi_{4021}(1090, \cdot)$
1-4021-4021.1091-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1091 $1$ 0 ✓ ✓ $0.0664$ $0$ $0.405663$ Character $\chi_{4021}(1091, \cdot)$
1-4021-4021.1092-r1-0-0 $432.$ $432.$ $1$ $4021$ 4021.1092 $1$ 0 ✓ ✓ $0.0176$ $0$ $0.852156$ Character $\chi_{4021}(1092, \cdot)$
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