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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 176 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
1-1300-1300.1019-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1019 $0$ 0 ✓ ✓ $0.156$ $0$ $1.35136$ Character $\chi_{1300}(1019, \cdot)$
1-1300-1300.1023-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1023 $0$ 0 ✓ ✓ $-0.106$ $0$ $0.801533$ Character $\chi_{1300}(1023, \cdot)$
1-1300-1300.103-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.103 $0$ 0 ✓ ✓ $-0.359$ $0$ $0.478192$ Character $\chi_{1300}(103, \cdot)$
1-1300-1300.1059-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1059 $0$ 0 ✓ ✓ $0.0571$ $0$ $0.961031$ Character $\chi_{1300}(1059, \cdot)$
1-1300-1300.1063-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1063 $0$ 0 ✓ ✓ $-0.188$ $0$ $0.319564$ Character $\chi_{1300}(1063, \cdot)$
1-1300-1300.1071-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1071 $0$ 0 ✓ ✓ $-0.0632$ $0$ $0.870102$ Character $\chi_{1300}(1071, \cdot)$
1-1300-1300.1083-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1083 $0$ 0 ✓ ✓ $0.278$ $0$ $1.33533$ Character $\chi_{1300}(1083, \cdot)$
1-1300-1300.11-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.11 $0$ 0 ✓ ✓ $-0.0571$ $0$ $0.646271$ Character $\chi_{1300}(11, \cdot)$
1-1300-1300.111-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.111 $0$ 0 ✓ ✓ $0.190$ $0$ $1.09588$ Character $\chi_{1300}(111, \cdot)$
1-1300-1300.1111-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1111 $0$ 0 ✓ ✓ $0.0971$ $0$ $1.35700$ Character $\chi_{1300}(1111, \cdot)$
1-1300-1300.1127-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1127 $0$ 0 ✓ ✓ $-0.106$ $0$ $0.745484$ Character $\chi_{1300}(1127, \cdot)$
1-1300-1300.1139-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1139 $0$ 0 ✓ ✓ $0.223$ $0$ $1.26963$ Character $\chi_{1300}(1139, \cdot)$
1-1300-1300.1147-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1147 $0$ 0 ✓ ✓ $0.0160$ $0$ $0.858181$ Character $\chi_{1300}(1147, \cdot)$
1-1300-1300.1159-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1159 $0$ 0 ✓ ✓ $-0.190$ $0$ $0.759921$ Character $\chi_{1300}(1159, \cdot)$
1-1300-1300.1167-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1167 $0$ 0 ✓ ✓ $-0.0587$ $0$ $0.676081$ Character $\chi_{1300}(1167, \cdot)$
1-1300-1300.1187-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1187 $0$ 0 ✓ ✓ $-0.351$ $0$ $0.0844442$ Character $\chi_{1300}(1187, \cdot)$
1-1300-1300.119-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.119 $0$ 0 ✓ ✓ $0.189$ $0$ $1.23996$ Character $\chi_{1300}(119, \cdot)$
1-1300-1300.1191-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1191 $0$ 0 ✓ ✓ $0.183$ $0$ $1.43271$ Character $\chi_{1300}(1191, \cdot)$
1-1300-1300.1211-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1211 $0$ 0 ✓ ✓ $-0.150$ $0$ $0.381591$ Character $\chi_{1300}(1211, \cdot)$
1-1300-1300.1247-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1247 $0$ 0 ✓ ✓ $0.140$ $0$ $0.825631$ Character $\chi_{1300}(1247, \cdot)$
1-1300-1300.1259-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1259 $0$ 0 ✓ ✓ $-0.0971$ $0$ $0.784929$ Character $\chi_{1300}(1259, \cdot)$
1-1300-1300.127-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.127 $0$ 0 ✓ ✓ $0.351$ $0$ $1.53426$ Character $\chi_{1300}(127, \cdot)$
1-1300-1300.1279-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1279 $0$ 0 ✓ ✓ $0.436$ $0$ $1.54572$ Character $\chi_{1300}(1279, \cdot)$
1-1300-1300.1283-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.1283 $0$ 0 ✓ ✓ $-0.0160$ $0$ $0.509442$ Character $\chi_{1300}(1283, \cdot)$
1-1300-1300.147-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.147 $0$ 0 ✓ ✓ $-0.441$ $0$ $1.85810$ Character $\chi_{1300}(147, \cdot)$
1-1300-1300.171-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.171 $0$ 0 ✓ ✓ $-0.0307$ $0$ $0.839325$ Character $\chi_{1300}(171, \cdot)$
1-1300-1300.19-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.19 $0$ 0 ✓ ✓ $0.437$ $0$ $0.0426428$ Character $\chi_{1300}(19, \cdot)$
1-1300-1300.219-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.219 $0$ 0 ✓ ✓ $0.282$ $0$ $1.29373$ Character $\chi_{1300}(219, \cdot)$
1-1300-1300.23-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.23 $0$ 0 ✓ ✓ $0.351$ $0$ $1.29238$ Character $\chi_{1300}(23, \cdot)$
1-1300-1300.239-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.239 $0$ 0 ✓ ✓ $-0.183$ $0$ $0.410699$ Character $\chi_{1300}(239, \cdot)$
1-1300-1300.263-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.263 $0$ 0 ✓ ✓ $0.106$ $0$ $1.16353$ Character $\chi_{1300}(263, \cdot)$
1-1300-1300.271-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.271 $0$ 0 ✓ ✓ $0.0628$ $0$ $1.33298$ Character $\chi_{1300}(271, \cdot)$
1-1300-1300.279-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.279 $0$ 0 ✓ ✓ $-0.282$ $0$ $0.670785$ Character $\chi_{1300}(279, \cdot)$
1-1300-1300.283-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.283 $0$ 0 ✓ ✓ $0.441$ $0$ $0.0993131$ Character $\chi_{1300}(283, \cdot)$
1-1300-1300.291-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.291 $0$ 0 ✓ ✓ $-0.223$ $0$ $0.943027$ Character $\chi_{1300}(291, \cdot)$
1-1300-1300.3-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.3 $0$ 0 ✓ ✓ $-0.483$ $0$ $1.50518$ Character $\chi_{1300}(3, \cdot)$
1-1300-1300.303-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.303 $0$ 0 ✓ ✓ $0.0587$ $0$ $1.01507$ Character $\chi_{1300}(303, \cdot)$
1-1300-1300.31-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.31 $0$ 0 ✓ ✓ $-0.343$ $0$ $0.109350$ Character $\chi_{1300}(31, \cdot)$
1-1300-1300.319-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.319 $0$ 0 ✓ ✓ $-0.469$ $0$ $1.57865$ Character $\chi_{1300}(319, \cdot)$
1-1300-1300.331-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.331 $0$ 0 ✓ ✓ $-0.0628$ $0$ $1.11700$ Character $\chi_{1300}(331, \cdot)$
1-1300-1300.347-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.347 $0$ 0 ✓ ✓ $0.263$ $0$ $1.47206$ Character $\chi_{1300}(347, \cdot)$
1-1300-1300.359-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.359 $0$ 0 ✓ ✓ $0.183$ $0$ $0.805291$ Character $\chi_{1300}(359, \cdot)$
1-1300-1300.363-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.363 $0$ 0 ✓ ✓ $0.230$ $0$ $1.25404$ Character $\chi_{1300}(363, \cdot)$
1-1300-1300.367-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.367 $0$ 0 ✓ ✓ $0.236$ $0$ $0.913069$ Character $\chi_{1300}(367, \cdot)$
1-1300-1300.371-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.371 $0$ 0 ✓ ✓ $0.310$ $0$ $0.869300$ Character $\chi_{1300}(371, \cdot)$
1-1300-1300.379-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.379 $0$ 0 ✓ ✓ $0.469$ $0$ $0.103424$ Character $\chi_{1300}(379, \cdot)$
1-1300-1300.387-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.387 $0$ 0 ✓ ✓ $-0.188$ $0$ $0.753806$ Character $\chi_{1300}(387, \cdot)$
1-1300-1300.411-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.411 $0$ 0 ✓ ✓ $0.223$ $0$ $1.38533$ Character $\chi_{1300}(411, \cdot)$
1-1300-1300.431-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.431 $0$ 0 ✓ ✓ $-0.310$ $0$ $0.253360$ Character $\chi_{1300}(431, \cdot)$
1-1300-1300.467-r0-0-0 $6.03$ $6.03$ $1$ $2^{2} \cdot 5^{2} \cdot 13$ 1300.467 $0$ 0 ✓ ✓ $0.359$ $0$ $1.68915$ Character $\chi_{1300}(467, \cdot)$
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