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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 (40 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
1-525-525.11-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.11 $1$ 0 ✓ ✓ $-0.273$ $0$ $0.483178$ Character $\chi_{525}(11, \cdot)$
1-525-525.116-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.116 $1$ 0 ✓ ✓ $0.0865$ $0$ $1.06054$ Character $\chi_{525}(116, \cdot)$
1-525-525.122-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.122 $1$ 0 ✓ ✓ $-0.489$ $0$ $0.311171$ Character $\chi_{525}(122, \cdot)$
1-525-525.152-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.152 $1$ 0 ✓ ✓ $0.299$ $0$ $0.802036$ Character $\chi_{525}(152, \cdot)$
1-525-525.167-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.167 $1$ 0 ✓ ✓ $0.0100$ $0$ $0.527414$ Character $\chi_{525}(167, \cdot)$
1-525-525.17-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.17 $1$ 0 ✓ ✓ $-0.469$ $0$ $0.0781034$ Character $\chi_{525}(17, \cdot)$
1-525-525.173-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.173 $1$ 0 ✓ ✓ $-0.200$ $0$ $0.646477$ Character $\chi_{525}(173, \cdot)$
1-525-525.179-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.179 $1$ 0 ✓ ✓ $-0.353$ $0$ $0.598983$ Character $\chi_{525}(179, \cdot)$
1-525-525.188-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.188 $1$ 0 ✓ ✓ $0.179$ $0$ $0.738804$ Character $\chi_{525}(188, \cdot)$
1-525-525.191-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.191 $1$ 0 ✓ ✓ $0.273$ $0$ $0.941564$ Character $\chi_{525}(191, \cdot)$
1-525-525.221-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.221 $1$ 0 ✓ ✓ $-0.353$ $0$ $0.148551$ Character $\chi_{525}(221, \cdot)$
1-525-525.227-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.227 $1$ 0 ✓ ✓ $0.340$ $0$ $0.0751375$ Character $\chi_{525}(227, \cdot)$
1-525-525.248-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.248 $1$ 0 ✓ ✓ $-0.159$ $0$ $0.472357$ Character $\chi_{525}(248, \cdot)$
1-525-525.254-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.254 $1$ 0 ✓ ✓ $-0.166$ $0$ $0.160701$ Character $\chi_{525}(254, \cdot)$
1-525-525.272-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.272 $1$ 0 ✓ ✓ $-0.0100$ $0$ $0.553452$ Character $\chi_{525}(272, \cdot)$
1-525-525.278-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.278 $1$ 0 ✓ ✓ $0.469$ $0$ $1.30986$ Character $\chi_{525}(278, \cdot)$
1-525-525.284-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.284 $1$ 0 ✓ ✓ $-0.413$ $0$ $0.0247891$ Character $\chi_{525}(284, \cdot)$
1-525-525.296-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.296 $1$ 0 ✓ ✓ $-0.166$ $0$ $0.585307$ Character $\chi_{525}(296, \cdot)$
1-525-525.353-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.353 $1$ 0 ✓ ✓ $-0.489$ $0$ $1.30805$ Character $\chi_{525}(353, \cdot)$
1-525-525.359-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.359 $1$ 0 ✓ ✓ $-0.226$ $0$ $0.826377$ Character $\chi_{525}(359, \cdot)$
1-525-525.362-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.362 $1$ 0 ✓ ✓ $0.159$ $0$ $1.19753$ Character $\chi_{525}(362, \cdot)$
1-525-525.377-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.377 $1$ 0 ✓ ✓ $-0.179$ $0$ $0.359932$ Character $\chi_{525}(377, \cdot)$
1-525-525.38-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.38 $1$ 0 ✓ ✓ $-0.299$ $0$ $0.518237$ Character $\chi_{525}(38, \cdot)$
1-525-525.383-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.383 $1$ 0 ✓ ✓ $0.489$ $0$ $1.17613$ Character $\chi_{525}(383, \cdot)$
1-525-525.389-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.389 $1$ 0 ✓ ✓ $0.226$ $0$ $0.970078$ Character $\chi_{525}(389, \cdot)$
1-525-525.398-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.398 $1$ 0 ✓ ✓ $0.320$ $0$ $1.53271$ Character $\chi_{525}(398, \cdot)$
1-525-525.431-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.431 $1$ 0 ✓ ✓ $0.166$ $0$ $0.532395$ Character $\chi_{525}(431, \cdot)$
1-525-525.437-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.437 $1$ 0 ✓ ✓ $0.200$ $0$ $0.694198$ Character $\chi_{525}(437, \cdot)$
1-525-525.44-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.44 $1$ 0 ✓ ✓ $0.353$ $0$ $1.54430$ Character $\chi_{525}(44, \cdot)$
1-525-525.458-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.458 $1$ 0 ✓ ✓ $-0.469$ $0$ $0.127423$ Character $\chi_{525}(458, \cdot)$
1-525-525.464-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.464 $1$ 0 ✓ ✓ $0.413$ $0$ $1.01537$ Character $\chi_{525}(464, \cdot)$
1-525-525.467-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.467 $1$ 0 ✓ ✓ $0.489$ $0$ $0.355113$ Character $\chi_{525}(467, \cdot)$
1-525-525.47-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.47 $1$ 0 ✓ ✓ $0.469$ $0$ $1.84023$ Character $\chi_{525}(47, \cdot)$
1-525-525.488-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.488 $1$ 0 ✓ ✓ $-0.340$ $0$ $1.88371$ Character $\chi_{525}(488, \cdot)$
1-525-525.494-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.494 $1$ 0 ✓ ✓ $0.166$ $0$ $1.06661$ Character $\chi_{525}(494, \cdot)$
1-525-525.503-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.503 $1$ 0 ✓ ✓ $-0.0100$ $0$ $1.11923$ Character $\chi_{525}(503, \cdot)$
1-525-525.506-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.506 $1$ 0 ✓ ✓ $0.353$ $0$ $1.19196$ Character $\chi_{525}(506, \cdot)$
1-525-525.62-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.62 $1$ 0 ✓ ✓ $-0.320$ $0$ $0.598774$ Character $\chi_{525}(62, \cdot)$
1-525-525.83-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.83 $1$ 0 ✓ ✓ $0.0100$ $0$ $0.915205$ Character $\chi_{525}(83, \cdot)$
1-525-525.86-r1-0-0 $56.4$ $56.4$ $1$ $3 \cdot 5^{2} \cdot 7$ 525.86 $1$ 0 ✓ ✓ $-0.0865$ $0$ $0.955944$ Character $\chi_{525}(86, \cdot)$
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