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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 395 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
1-1588-1588.1007-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1007 $0$ 0 ✓ ✓ $-0.0601$ $0$ $0.850582$ Character $\chi_{1588}(1007, \cdot)$
1-1588-1588.1011-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1011 $0$ 0 ✓ ✓ $0.0244$ $0$ $0.790365$ Character $\chi_{1588}(1011, \cdot)$
1-1588-1588.1027-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1027 $0$ 0 ✓ ✓ $0.144$ $0$ $0.984765$ Character $\chi_{1588}(1027, \cdot)$
1-1588-1588.103-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.103 $0$ 0 ✓ ✓ $-0.101$ $0$ $0.355649$ Character $\chi_{1588}(103, \cdot)$
1-1588-1588.1035-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1035 $0$ 0 ✓ ✓ $-0.185$ $0$ $0.664899$ Character $\chi_{1588}(1035, \cdot)$
1-1588-1588.1039-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1039 $0$ 0 ✓ ✓ $0.0354$ $0$ $0.746680$ Character $\chi_{1588}(1039, \cdot)$
1-1588-1588.1063-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1063 $0$ 0 ✓ ✓ $0.490$ $0$ $1.46855$ Character $\chi_{1588}(1063, \cdot)$
1-1588-1588.1079-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1079 $0$ 0 ✓ ✓ $-0.466$ $0$ $0.138686$ Character $\chi_{1588}(1079, \cdot)$
1-1588-1588.1095-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1095 $0$ 0 ✓ ✓ $-0.127$ $0$ $0.650370$ Character $\chi_{1588}(1095, \cdot)$
1-1588-1588.1103-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1103 $0$ 0 ✓ ✓ $-0.455$ $0$ $0.466565$ Character $\chi_{1588}(1103, \cdot)$
1-1588-1588.1107-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1107 $0$ 0 ✓ ✓ $-0.0609$ $0$ $0.958947$ Character $\chi_{1588}(1107, \cdot)$
1-1588-1588.1111-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1111 $0$ 0 ✓ ✓ $-0.364$ $0$ $0.393836$ Character $\chi_{1588}(1111, \cdot)$
1-1588-1588.1119-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1119 $0$ 0 ✓ ✓ $-0.0320$ $0$ $1.00783$ Character $\chi_{1588}(1119, \cdot)$
1-1588-1588.1123-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1123 $0$ 0 ✓ ✓ $0.314$ $0$ $1.18162$ Character $\chi_{1588}(1123, \cdot)$
1-1588-1588.1131-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1131 $0$ 0 ✓ ✓ $-0.0309$ $0$ $1.13567$ Character $\chi_{1588}(1131, \cdot)$
1-1588-1588.1139-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1139 $0$ 0 ✓ ✓ $0.0609$ $0$ $0.845911$ Character $\chi_{1588}(1139, \cdot)$
1-1588-1588.115-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.115 $0$ 0 ✓ ✓ $-0.249$ $0$ $0.427538$ Character $\chi_{1588}(115, \cdot)$
1-1588-1588.1159-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1159 $0$ 0 ✓ ✓ $-0.187$ $0$ $0.637240$ Character $\chi_{1588}(1159, \cdot)$
1-1588-1588.1163-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1163 $0$ 0 ✓ ✓ $0.185$ $0$ $1.11726$ Character $\chi_{1588}(1163, \cdot)$
1-1588-1588.1167-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1167 $0$ 0 ✓ ✓ $-0.219$ $0$ $0.535902$ Character $\chi_{1588}(1167, \cdot)$
1-1588-1588.1171-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1171 $0$ 0 ✓ ✓ $-0.468$ $0$ $0.215500$ Character $\chi_{1588}(1171, \cdot)$
1-1588-1588.1183-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1183 $0$ 0 ✓ ✓ $0.383$ $0$ $1.12640$ Character $\chi_{1588}(1183, \cdot)$
1-1588-1588.1199-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1199 $0$ 0 ✓ ✓ $-0.0486$ $0$ $0.898109$ Character $\chi_{1588}(1199, \cdot)$
1-1588-1588.1211-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1211 $0$ 0 ✓ ✓ $0.249$ $0$ $0.986669$ Character $\chi_{1588}(1211, \cdot)$
1-1588-1588.1215-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1215 $0$ 0 ✓ ✓ $-0.264$ $0$ $2.15902$ Character $\chi_{1588}(1215, \cdot)$
1-1588-1588.1219-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1219 $0$ 0 ✓ ✓ $0.0504$ $0$ $1.03958$ Character $\chi_{1588}(1219, \cdot)$
1-1588-1588.1223-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1223 $0$ 0 ✓ ✓ $-0.0907$ $0$ $1.24006$ Character $\chi_{1588}(1223, \cdot)$
1-1588-1588.123-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.123 $0$ 0 ✓ ✓ $0.151$ $0$ $1.12204$ Character $\chi_{1588}(123, \cdot)$
1-1588-1588.1243-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1243 $0$ 0 ✓ ✓ $0.207$ $0$ $0.843103$ Character $\chi_{1588}(1243, \cdot)$
1-1588-1588.1251-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1251 $0$ 0 ✓ ✓ $-0.337$ $0$ $0.434118$ Character $\chi_{1588}(1251, \cdot)$
1-1588-1588.1259-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1259 $0$ 0 ✓ ✓ $0.198$ $0$ $0.870528$ Character $\chi_{1588}(1259, \cdot)$
1-1588-1588.1263-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1263 $0$ 0 ✓ ✓ $-0.444$ $0$ $0.816001$ Character $\chi_{1588}(1263, \cdot)$
1-1588-1588.1271-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1271 $0$ 0 ✓ ✓ $0.268$ $0$ $1.05464$ Character $\chi_{1588}(1271, \cdot)$
1-1588-1588.1275-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1275 $0$ 0 ✓ ✓ $-0.207$ $0$ $0.800330$ Character $\chi_{1588}(1275, \cdot)$
1-1588-1588.1279-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1279 $0$ 0 ✓ ✓ $0.494$ $0$ $0.0834041$ Character $\chi_{1588}(1279, \cdot)$
1-1588-1588.1287-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1287 $0$ 0 ✓ ✓ $0.369$ $0$ $1.26836$ Character $\chi_{1588}(1287, \cdot)$
1-1588-1588.1303-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1303 $0$ 0 ✓ ✓ $0.0995$ $0$ $0.580651$ Character $\chi_{1588}(1303, \cdot)$
1-1588-1588.1319-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1319 $0$ 0 ✓ ✓ $-0.287$ $0$ $0.0830852$ Character $\chi_{1588}(1319, \cdot)$
1-1588-1588.1343-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1343 $0$ 0 ✓ ✓ $-0.0493$ $0$ $0.252609$ Character $\chi_{1588}(1343, \cdot)$
1-1588-1588.1347-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1347 $0$ 0 ✓ ✓ $-0.0504$ $0$ $1.04042$ Character $\chi_{1588}(1347, \cdot)$
1-1588-1588.135-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.135 $0$ 0 ✓ ✓ $-0.144$ $0$ $0.836601$ Character $\chi_{1588}(135, \cdot)$
1-1588-1588.1355-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1355 $0$ 0 ✓ ✓ $0.177$ $0$ $1.07703$ Character $\chi_{1588}(1355, \cdot)$
1-1588-1588.1371-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1371 $0$ 0 ✓ ✓ $0.351$ $0$ $1.31223$ Character $\chi_{1588}(1371, \cdot)$
1-1588-1588.1375-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1375 $0$ 0 ✓ ✓ $-0.161$ $0$ $0.0776794$ Character $\chi_{1588}(1375, \cdot)$
1-1588-1588.139-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.139 $0$ 0 ✓ ✓ $-0.249$ $0$ $0.850432$ Character $\chi_{1588}(139, \cdot)$
1-1588-1588.1391-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1391 $0$ 0 ✓ ✓ $-0.333$ $0$ $0.583786$ Character $\chi_{1588}(1391, \cdot)$
1-1588-1588.1395-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1395 $0$ 0 ✓ ✓ $0.0320$ $0$ $0.991507$ Character $\chi_{1588}(1395, \cdot)$
1-1588-1588.1399-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1399 $0$ 0 ✓ ✓ $0.466$ $0$ $0.383334$ Character $\chi_{1588}(1399, \cdot)$
1-1588-1588.1403-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1403 $0$ 0 ✓ ✓ $0.101$ $0$ $1.13440$ Character $\chi_{1588}(1403, \cdot)$
1-1588-1588.1407-r0-0-0 $7.37$ $7.37$ $1$ $2^{2} \cdot 397$ 1588.1407 $0$ 0 ✓ ✓ $-0.314$ $0$ $0.161035$ Character $\chi_{1588}(1407, \cdot)$
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