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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 80 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
1-5e3-125.104-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.104 $0$ 0 ✓ ✓ $-0.0919$ $0$ $1.17092$ Character $\chi_{125}(104, \cdot)$
1-5e3-125.106-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.106 $0$ 0 ✓ ✓ $0.491$ $0$ $0.699641$ Character $\chi_{125}(106, \cdot)$
1-5e3-125.109-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.109 $0$ 0 ✓ ✓ $-0.244$ $0$ $1.13834$ Character $\chi_{125}(109, \cdot)$
1-5e3-125.11-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.11 $0$ 0 ✓ ✓ $-0.456$ $0$ $0.358502$ Character $\chi_{125}(11, \cdot)$
1-5e3-125.111-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.111 $0$ 0 ✓ ✓ $0.344$ $0$ $1.48943$ Character $\chi_{125}(111, \cdot)$
1-5e3-125.114-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.114 $0$ 0 ✓ ✓ $0.0439$ $0$ $1.36969$ Character $\chi_{125}(114, \cdot)$
1-5e3-125.116-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.116 $0$ 0 ✓ ✓ $-0.344$ $0$ $0.488203$ Character $\chi_{125}(116, \cdot)$
1-5e3-125.119-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.119 $0$ 0 ✓ ✓ $0.0919$ $0$ $1.94706$ Character $\chi_{125}(119, \cdot)$
1-5e3-125.121-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.121 $0$ 0 ✓ ✓ $0.107$ $0$ $1.52651$ Character $\chi_{125}(121, \cdot)$
1-5e3-125.14-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.14 $0$ 0 ✓ ✓ $-0.156$ $0$ $1.96739$ Character $\chi_{125}(14, \cdot)$
1-5e3-125.16-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.16 $0$ 0 ✓ ✓ $0.256$ $0$ $2.68107$ Character $\chi_{125}(16, \cdot)$
1-5e3-125.19-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.19 $0$ 0 ✓ ✓ $0.491$ $0$ $3.05722$ Character $\chi_{125}(19, \cdot)$
1-5e3-125.21-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.21 $0$ 0 ✓ ✓ $-0.0919$ $0$ $1.48653$ Character $\chi_{125}(21, \cdot)$
1-5e3-125.29-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.29 $0$ 0 ✓ ✓ $0.107$ $0$ $1.44692$ Character $\chi_{125}(29, \cdot)$
1-5e3-125.31-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.31 $0$ 0 ✓ ✓ $-0.107$ $0$ $0.702822$ Character $\chi_{125}(31, \cdot)$
1-5e3-125.34-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.34 $0$ 0 ✓ ✓ $-0.0439$ $0$ $1.66438$ Character $\chi_{125}(34, \cdot)$
1-5e3-125.36-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.36 $0$ 0 ✓ ✓ $0.344$ $0$ $2.73887$ Character $\chi_{125}(36, \cdot)$
1-5e3-125.39-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.39 $0$ 0 ✓ ✓ $0.244$ $0$ $1.78383$ Character $\chi_{125}(39, \cdot)$
1-5e3-125.4-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.4 $0$ 0 ✓ ✓ $0.107$ $0$ $2.40743$ Character $\chi_{125}(4, \cdot)$
1-5e3-125.41-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.41 $0$ 0 ✓ ✓ $0.256$ $0$ $2.00860$ Character $\chi_{125}(41, \cdot)$
1-5e3-125.44-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.44 $0$ 0 ✓ ✓ $0.0919$ $0$ $1.71527$ Character $\chi_{125}(44, \cdot)$
1-5e3-125.46-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.46 $0$ 0 ✓ ✓ $-0.491$ $0$ $2.43177$ Character $\chi_{125}(46, \cdot)$
1-5e3-125.54-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.54 $0$ 0 ✓ ✓ $-0.0919$ $0$ $0.615059$ Character $\chi_{125}(54, \cdot)$
1-5e3-125.56-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.56 $0$ 0 ✓ ✓ $-0.107$ $0$ $1.72516$ Character $\chi_{125}(56, \cdot)$
1-5e3-125.59-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.59 $0$ 0 ✓ ✓ $0.156$ $0$ $1.13418$ Character $\chi_{125}(59, \cdot)$
1-5e3-125.6-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.6 $0$ 0 ✓ ✓ $0.0919$ $0$ $1.69031$ Character $\chi_{125}(6, \cdot)$
1-5e3-125.61-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.61 $0$ 0 ✓ ✓ $-0.256$ $0$ $0.995505$ Character $\chi_{125}(61, \cdot)$
1-5e3-125.64-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.64 $0$ 0 ✓ ✓ $0.244$ $0$ $2.27512$ Character $\chi_{125}(64, \cdot)$
1-5e3-125.66-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.66 $0$ 0 ✓ ✓ $-0.344$ $0$ $1.28570$ Character $\chi_{125}(66, \cdot)$
1-5e3-125.69-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.69 $0$ 0 ✓ ✓ $-0.107$ $0$ $0.845641$ Character $\chi_{125}(69, \cdot)$
1-5e3-125.71-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.71 $0$ 0 ✓ ✓ $-0.0919$ $0$ $1.77322$ Character $\chi_{125}(71, \cdot)$
1-5e3-125.79-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.79 $0$ 0 ✓ ✓ $-0.491$ $0$ $0.887857$ Character $\chi_{125}(79, \cdot)$
1-5e3-125.81-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.81 $0$ 0 ✓ ✓ $0.0919$ $0$ $1.50061$ Character $\chi_{125}(81, \cdot)$
1-5e3-125.84-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.84 $0$ 0 ✓ ✓ $-0.244$ $0$ $1.24716$ Character $\chi_{125}(84, \cdot)$
1-5e3-125.86-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.86 $0$ 0 ✓ ✓ $-0.256$ $0$ $1.34537$ Character $\chi_{125}(86, \cdot)$
1-5e3-125.89-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.89 $0$ 0 ✓ ✓ $-0.156$ $0$ $1.26378$ Character $\chi_{125}(89, \cdot)$
1-5e3-125.9-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.9 $0$ 0 ✓ ✓ $0.156$ $0$ $2.22095$ Character $\chi_{125}(9, \cdot)$
1-5e3-125.91-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.91 $0$ 0 ✓ ✓ $0.456$ $0$ $2.18189$ Character $\chi_{125}(91, \cdot)$
1-5e3-125.94-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.94 $0$ 0 ✓ ✓ $-0.107$ $0$ $2.04508$ Character $\chi_{125}(94, \cdot)$
1-5e3-125.96-r0-0-0 $0.580$ $0.580$ $1$ $5^{3}$ 125.96 $0$ 0 ✓ ✓ $0.107$ $0$ $2.12554$ Character $\chi_{125}(96, \cdot)$
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 $\chi_{125}(13, \cdot)$
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