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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
1-5e3-125.102-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.102 $1$ 0 ✓ ✓ $0.244$ $0$ $0.221971$ Character $\chi_{125}(102, \cdot)$
1-5e3-125.103-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.103 $1$ 0 ✓ ✓ $-0.142$ $0$ $0.645832$ Character $\chi_{125}(103, \cdot)$
1-5e3-125.108-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.108 $1$ 0 ✓ ✓ $0.142$ $0$ $0.784345$ Character $\chi_{125}(108, \cdot)$
1-5e3-125.112-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.112 $1$ 0 ✓ ✓ $-0.344$ $0$ $0.546630$ Character $\chi_{125}(112, \cdot)$
1-5e3-125.113-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.113 $1$ 0 ✓ ✓ $0.156$ $0$ $1.52859$ Character $\chi_{125}(113, \cdot)$
1-5e3-125.117-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.117 $1$ 0 ✓ ✓ $0.342$ $0$ $1.62163$ Character $\chi_{125}(117, \cdot)$
1-5e3-125.12-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.12 $1$ 0 ✓ ✓ $-0.344$ $0$ $0.265028$ Character $\chi_{125}(12, \cdot)$
1-5e3-125.122-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.122 $1$ 0 ✓ ✓ $0.258$ $0$ $1.79007$ Character $\chi_{125}(122, \cdot)$
1-5e3-125.123-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.123 $1$ 0 ✓ ✓ $-0.456$ $0$ $0.124991$ Character $\chi_{125}(123, \cdot)$
1-5e3-125.13-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.13 $1$ 0 ✓ ✓ $0.156$ $0$ $1.18490$ Character $\chi_{125}(13, \cdot)$
1-5e3-125.17-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.17 $1$ 0 ✓ ✓ $0.142$ $0$ $1.81953$ Character $\chi_{125}(17, \cdot)$
1-5e3-125.2-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.2 $1$ 0 ✓ ✓ $0.0439$ $0$ $1.76171$ Character $\chi_{125}(2, \cdot)$
1-5e3-125.22-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.22 $1$ 0 ✓ ✓ $-0.142$ $0$ $0.698229$ Character $\chi_{125}(22, \cdot)$
1-5e3-125.23-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.23 $1$ 0 ✓ ✓ $-0.256$ $0$ $2.55372$ Character $\chi_{125}(23, \cdot)$
1-5e3-125.27-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.27 $1$ 0 ✓ ✓ $0.244$ $0$ $1.02471$ Character $\chi_{125}(27, \cdot)$
1-5e3-125.28-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.28 $1$ 0 ✓ ✓ $-0.142$ $0$ $1.42379$ Character $\chi_{125}(28, \cdot)$
1-5e3-125.3-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.3 $1$ 0 ✓ ✓ $0.258$ $0$ $1.63454$ Character $\chi_{125}(3, \cdot)$
1-5e3-125.33-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.33 $1$ 0 ✓ ✓ $0.342$ $0$ $0.376620$ Character $\chi_{125}(33, \cdot)$
1-5e3-125.37-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.37 $1$ 0 ✓ ✓ $0.256$ $0$ $1.38098$ Character $\chi_{125}(37, \cdot)$
1-5e3-125.38-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.38 $1$ 0 ✓ ✓ $-0.244$ $0$ $2.83932$ Character $\chi_{125}(38, \cdot)$
1-5e3-125.42-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.42 $1$ 0 ✓ ✓ $-0.258$ $0$ $0.864038$ Character $\chi_{125}(42, \cdot)$
1-5e3-125.47-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.47 $1$ 0 ✓ ✓ $-0.342$ $0$ $0.851217$ Character $\chi_{125}(47, \cdot)$
1-5e3-125.48-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.48 $1$ 0 ✓ ✓ $0.344$ $0$ $2.09607$ Character $\chi_{125}(48, \cdot)$
1-5e3-125.52-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.52 $1$ 0 ✓ ✓ $-0.156$ $0$ $0.908838$ Character $\chi_{125}(52, \cdot)$
1-5e3-125.53-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.53 $1$ 0 ✓ ✓ $-0.342$ $0$ $0.881467$ Character $\chi_{125}(53, \cdot)$
1-5e3-125.58-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.58 $1$ 0 ✓ ✓ $0.142$ $0$ $0.968224$ Character $\chi_{125}(58, \cdot)$
1-5e3-125.62-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.62 $1$ 0 ✓ ✓ $0.456$ $0$ $1.36178$ Character $\chi_{125}(62, \cdot)$
1-5e3-125.63-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.63 $1$ 0 ✓ ✓ $-0.0439$ $0$ $1.80088$ Character $\chi_{125}(63, \cdot)$
1-5e3-125.67-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.67 $1$ 0 ✓ ✓ $0.142$ $0$ $1.68318$ Character $\chi_{125}(67, \cdot)$
1-5e3-125.72-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.72 $1$ 0 ✓ ✓ $-0.342$ $0$ $2.98741$ Character $\chi_{125}(72, \cdot)$
1-5e3-125.73-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.73 $1$ 0 ✓ ✓ $0.344$ $0$ $2.03200$ Character $\chi_{125}(73, \cdot)$
1-5e3-125.77-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.77 $1$ 0 ✓ ✓ $-0.156$ $0$ $0.603626$ Character $\chi_{125}(77, \cdot)$
1-5e3-125.78-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.78 $1$ 0 ✓ ✓ $-0.342$ $0$ $0.0308840$ Character $\chi_{125}(78, \cdot)$
1-5e3-125.8-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.8 $1$ 0 ✓ ✓ $0.342$ $0$ $2.35050$ Character $\chi_{125}(8, \cdot)$
1-5e3-125.83-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.83 $1$ 0 ✓ ✓ $-0.258$ $0$ $0.424656$ Character $\chi_{125}(83, \cdot)$
1-5e3-125.87-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.87 $1$ 0 ✓ ✓ $0.256$ $0$ $0.129958$ Character $\chi_{125}(87, \cdot)$
1-5e3-125.88-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.88 $1$ 0 ✓ ✓ $-0.244$ $0$ $0.854746$ Character $\chi_{125}(88, \cdot)$
1-5e3-125.92-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.92 $1$ 0 ✓ ✓ $0.342$ $0$ $1.23249$ Character $\chi_{125}(92, \cdot)$
1-5e3-125.97-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.97 $1$ 0 ✓ ✓ $-0.142$ $0$ $0.380708$ Character $\chi_{125}(97, \cdot)$
1-5e3-125.98-r1-0-0 $13.4$ $13.4$ $1$ $5^{3}$ 125.98 $1$ 0 ✓ ✓ $-0.256$ $0$ $0.958623$ Character $\chi_{125}(98, \cdot)$
  displayed columns for results