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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 170 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
1-1197-1197.1004-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1004 $0$ 0 ✓ ✓ $0.272$ $0$ $0.986245$ Character $\chi_{1197}(1004, \cdot)$
1-1197-1197.1006-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1006 $0$ 0 ✓ ✓ $-0.297$ $0$ $0.670705$ Character $\chi_{1197}(1006, \cdot)$
1-1197-1197.101-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.101 $0$ 0 ✓ ✓ $0.434$ $0$ $1.29627$ Character $\chi_{1197}(101, \cdot)$
1-1197-1197.1010-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1010 $0$ 0 ✓ ✓ $0.0657$ $0$ $1.20142$ Character $\chi_{1197}(1010, \cdot)$
1-1197-1197.1012-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1012 $0$ 0 ✓ ✓ $0.496$ $0$ $1.51549$ Character $\chi_{1197}(1012, \cdot)$
1-1197-1197.1013-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1013 $0$ 0 ✓ ✓ $0.116$ $0$ $0.817492$ Character $\chi_{1197}(1013, \cdot)$
1-1197-1197.1019-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1019 $0$ 0 ✓ ✓ $0.446$ $0$ $0.973516$ Character $\chi_{1197}(1019, \cdot)$
1-1197-1197.1021-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1021 $0$ 0 ✓ ✓ $0.130$ $0$ $1.17110$ Character $\chi_{1197}(1021, \cdot)$
1-1197-1197.1024-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1024 $0$ 0 ✓ ✓ $-0.353$ $0$ $0.879602$ Character $\chi_{1197}(1024, \cdot)$
1-1197-1197.103-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.103 $0$ 0 ✓ ✓ $0.189$ $0$ $0.722174$ Character $\chi_{1197}(103, \cdot)$
1-1197-1197.1033-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1033 $0$ 0 ✓ ✓ $0.261$ $0$ $1.20234$ Character $\chi_{1197}(1033, \cdot)$
1-1197-1197.1039-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1039 $0$ 0 ✓ ✓ $-0.202$ $0$ $0.970636$ Character $\chi_{1197}(1039, \cdot)$
1-1197-1197.104-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.104 $0$ 0 ✓ ✓ $0.363$ $0$ $1.14835$ Character $\chi_{1197}(104, \cdot)$
1-1197-1197.1040-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1040 $0$ 0 ✓ ✓ $0.120$ $0$ $1.09775$ Character $\chi_{1197}(1040, \cdot)$
1-1197-1197.1048-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1048 $0$ 0 ✓ ✓ $0.0910$ $0$ $0.994774$ Character $\chi_{1197}(1048, \cdot)$
1-1197-1197.1049-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1049 $0$ 0 ✓ ✓ $-0.117$ $0$ $0.907362$ Character $\chi_{1197}(1049, \cdot)$
1-1197-1197.1060-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1060 $0$ 0 ✓ ✓ $-0.276$ $0$ $0.686892$ Character $\chi_{1197}(1060, \cdot)$
1-1197-1197.1075-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1075 $0$ 0 ✓ ✓ $0.218$ $0$ $1.02268$ Character $\chi_{1197}(1075, \cdot)$
1-1197-1197.1082-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1082 $0$ 0 ✓ ✓ $0.0454$ $0$ $1.31088$ Character $\chi_{1197}(1082, \cdot)$
1-1197-1197.1087-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1087 $0$ 0 ✓ ✓ $0.496$ $0$ $0.0403179$ Character $\chi_{1197}(1087, \cdot)$
1-1197-1197.1105-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1105 $0$ 0 ✓ ✓ $0.0556$ $0$ $0.481293$ Character $\chi_{1197}(1105, \cdot)$
1-1197-1197.1109-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1109 $0$ 0 ✓ ✓ $-0.374$ $0$ $0.733900$ Character $\chi_{1197}(1109, \cdot)$
1-1197-1197.1118-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1118 $0$ 0 ✓ ✓ $0.176$ $0$ $1.20612$ Character $\chi_{1197}(1118, \cdot)$
1-1197-1197.1123-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1123 $0$ 0 ✓ ✓ $0.155$ $0$ $1.47947$ Character $\chi_{1197}(1123, \cdot)$
1-1197-1197.1130-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1130 $0$ 0 ✓ ✓ $0.217$ $0$ $1.38578$ Character $\chi_{1197}(1130, \cdot)$
1-1197-1197.1136-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1136 $0$ 0 ✓ ✓ $-0.120$ $0$ $0.421711$ Character $\chi_{1197}(1136, \cdot)$
1-1197-1197.1138-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1138 $0$ 0 ✓ ✓ $0.0151$ $0$ $0.622738$ Character $\chi_{1197}(1138, \cdot)$
1-1197-1197.1174-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1174 $0$ 0 ✓ ✓ $-0.0948$ $0$ $0.827620$ Character $\chi_{1197}(1174, \cdot)$
1-1197-1197.1175-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1175 $0$ 0 ✓ ✓ $0.419$ $0$ $1.98254$ Character $\chi_{1197}(1175, \cdot)$
1-1197-1197.1186-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.1186 $0$ 0 ✓ ✓ $0.00797$ $0$ $0.648726$ Character $\chi_{1197}(1186, \cdot)$
1-1197-1197.121-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.121 $0$ 0 ✓ ✓ $-0.329$ $0$ $0.225868$ Character $\chi_{1197}(121, \cdot)$
1-1197-1197.124-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.124 $0$ 0 ✓ ✓ $-0.0442$ $0$ $0.373447$ Character $\chi_{1197}(124, \cdot)$
1-1197-1197.128-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.128 $0$ 0 ✓ ✓ $0.248$ $0$ $0.941569$ Character $\chi_{1197}(128, \cdot)$
1-1197-1197.13-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.13 $0$ 0 ✓ ✓ $-0.0556$ $0$ $0.712184$ Character $\chi_{1197}(13, \cdot)$
1-1197-1197.130-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.130 $0$ 0 ✓ ✓ $0.408$ $0$ $0.338302$ Character $\chi_{1197}(130, \cdot)$
1-1197-1197.131-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.131 $0$ 0 ✓ ✓ $0.171$ $0$ $1.30443$ Character $\chi_{1197}(131, \cdot)$
1-1197-1197.142-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.142 $0$ 0 ✓ ✓ $-0.0151$ $0$ $1.08654$ Character $\chi_{1197}(142, \cdot)$
1-1197-1197.16-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.16 $0$ 0 ✓ ✓ $0.0402$ $0$ $0.657196$ Character $\chi_{1197}(16, \cdot)$
1-1197-1197.160-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.160 $0$ 0 ✓ ✓ $0.154$ $0$ $1.08247$ Character $\chi_{1197}(160, \cdot)$
1-1197-1197.166-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.166 $0$ 0 ✓ ✓ $0.276$ $0$ $1.22431$ Character $\chi_{1197}(166, \cdot)$
1-1197-1197.194-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.194 $0$ 0 ✓ ✓ $0.0291$ $0$ $0.924329$ Character $\chi_{1197}(194, \cdot)$
1-1197-1197.2-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.2 $0$ 0 ✓ ✓ $0.311$ $0$ $1.56411$ Character $\chi_{1197}(2, \cdot)$
1-1197-1197.200-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.200 $0$ 0 ✓ ✓ $0.299$ $0$ $1.15645$ Character $\chi_{1197}(200, \cdot)$
1-1197-1197.202-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.202 $0$ 0 ✓ ✓ $-0.154$ $0$ $0.0814563$ Character $\chi_{1197}(202, \cdot)$
1-1197-1197.212-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.212 $0$ 0 ✓ ✓ $0.454$ $0$ $1.13905$ Character $\chi_{1197}(212, \cdot)$
1-1197-1197.214-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.214 $0$ 0 ✓ ✓ $-0.392$ $0$ $0.778343$ Character $\chi_{1197}(214, \cdot)$
1-1197-1197.221-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.221 $0$ 0 ✓ ✓ $-0.164$ $0$ $0.916183$ Character $\chi_{1197}(221, \cdot)$
1-1197-1197.223-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.223 $0$ 0 ✓ ✓ $0.241$ $0$ $1.62247$ Character $\chi_{1197}(223, \cdot)$
1-1197-1197.241-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.241 $0$ 0 ✓ ✓ $-0.0910$ $0$ $0.413837$ Character $\chi_{1197}(241, \cdot)$
1-1197-1197.25-r0-0-0 $5.55$ $5.55$ $1$ $3^{2} \cdot 7 \cdot 19$ 1197.25 $0$ 0 ✓ ✓ $0.0708$ $0$ $1.28652$ Character $\chi_{1197}(25, \cdot)$
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