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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 206 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
1-695-695.102-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.102 $0$ 0 ✓ ✓ $0.208$ $0$ $1.24994$ Character $\chi_{695}(102, \cdot)$
1-695-695.103-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.103 $0$ 0 ✓ ✓ $-0.0257$ $0$ $1.59512$ Character $\chi_{695}(103, \cdot)$
1-695-695.108-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.108 $0$ 0 ✓ ✓ $-0.265$ $0$ $0.522227$ Character $\chi_{695}(108, \cdot)$
1-695-695.12-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.12 $0$ 0 ✓ ✓ $0.413$ $0$ $0.182086$ Character $\chi_{695}(12, \cdot)$
1-695-695.123-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.123 $0$ 0 ✓ ✓ $0.269$ $0$ $1.43801$ Character $\chi_{695}(123, \cdot)$
1-695-695.124-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.124 $0$ 0 ✓ ✓ $0.411$ $0$ $0.394387$ Character $\chi_{695}(124, \cdot)$
1-695-695.128-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.128 $0$ 0 ✓ ✓ $-0.396$ $0$ $0.266658$ Character $\chi_{695}(128, \cdot)$
1-695-695.129-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.129 $0$ 0 ✓ ✓ $-0.298$ $0$ $1.02236$ Character $\chi_{695}(129, \cdot)$
1-695-695.132-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.132 $0$ 0 ✓ ✓ $0.468$ $0$ $2.18401$ Character $\chi_{695}(132, \cdot)$
1-695-695.133-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.133 $0$ 0 ✓ ✓ $0.0409$ $0$ $0.919534$ Character $\chi_{695}(133, \cdot)$
1-695-695.138-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.138 $0$ 0 ✓ ✓ $-0.0881$ $0$ $0.722587$ Character $\chi_{695}(138, \cdot)$
1-695-695.142-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.142 $0$ 0 ✓ ✓ $-0.234$ $0$ $0.781913$ Character $\chi_{695}(142, \cdot)$
1-695-695.144-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.144 $0$ 0 ✓ ✓ $0.387$ $0$ $1.90986$ Character $\chi_{695}(144, \cdot)$
1-695-695.147-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.147 $0$ 0 ✓ ✓ $-0.130$ $0$ $0.338273$ Character $\chi_{695}(147, \cdot)$
1-695-695.153-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.153 $0$ 0 ✓ ✓ $0.468$ $0$ $1.64408$ Character $\chi_{695}(153, \cdot)$
1-695-695.157-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.157 $0$ 0 ✓ ✓ $0.000523$ $0$ $0.992754$ Character $\chi_{695}(157, \cdot)$
1-695-695.158-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.158 $0$ 0 ✓ ✓ $0.224$ $0$ $0.757689$ Character $\chi_{695}(158, \cdot)$
1-695-695.159-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.159 $0$ 0 ✓ ✓ $-0.257$ $0$ $0.124490$ Character $\chi_{695}(159, \cdot)$
1-695-695.162-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.162 $0$ 0 ✓ ✓ $-0.0409$ $0$ $1.09029$ Character $\chi_{695}(162, \cdot)$
1-695-695.164-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.164 $0$ 0 ✓ ✓ $-0.394$ $0$ $0.762592$ Character $\chi_{695}(164, \cdot)$
1-695-695.169-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.169 $0$ 0 ✓ ✓ $-0.366$ $0$ $0.291795$ Character $\chi_{695}(169, \cdot)$
1-695-695.17-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.17 $0$ 0 ✓ ✓ $0.0663$ $0$ $1.34907$ Character $\chi_{695}(17, \cdot)$
1-695-695.172-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.172 $0$ 0 ✓ ✓ $0.355$ $0$ $1.35792$ Character $\chi_{695}(172, \cdot)$
1-695-695.174-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.174 $0$ 0 ✓ ✓ $-0.249$ $0$ $0.855488$ Character $\chi_{695}(174, \cdot)$
1-695-695.178-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.178 $0$ 0 ✓ ✓ $-0.186$ $0$ $0.697430$ Character $\chi_{695}(178, \cdot)$
1-695-695.18-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.18 $0$ 0 ✓ ✓ $-0.175$ $0$ $0.767726$ Character $\chi_{695}(18, \cdot)$
1-695-695.182-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.182 $0$ 0 ✓ ✓ $0.111$ $0$ $1.70585$ Character $\chi_{695}(182, \cdot)$
1-695-695.184-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.184 $0$ 0 ✓ ✓ $-0.321$ $0$ $0.235254$ Character $\chi_{695}(184, \cdot)$
1-695-695.187-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.187 $0$ 0 ✓ ✓ $0.310$ $0$ $1.40186$ Character $\chi_{695}(187, \cdot)$
1-695-695.192-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.192 $0$ 0 ✓ ✓ $-0.480$ $0$ $0.315161$ Character $\chi_{695}(192, \cdot)$
1-695-695.194-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.194 $0$ 0 ✓ ✓ $0.249$ $0$ $1.53178$ Character $\chi_{695}(194, \cdot)$
1-695-695.197-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.197 $0$ 0 ✓ ✓ $-0.237$ $0$ $1.12701$ Character $\chi_{695}(197, \cdot)$
1-695-695.198-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.198 $0$ 0 ✓ ✓ $-0.355$ $0$ $0.530792$ Character $\chi_{695}(198, \cdot)$
1-695-695.2-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.2 $0$ 0 ✓ ✓ $0.269$ $0$ $1.14751$ Character $\chi_{695}(2, \cdot)$
1-695-695.204-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.204 $0$ 0 ✓ ✓ $-0.0972$ $0$ $0.992258$ Character $\chi_{695}(204, \cdot)$
1-695-695.207-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.207 $0$ 0 ✓ ✓ $0.184$ $0$ $1.64412$ Character $\chi_{695}(207, \cdot)$
1-695-695.212-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.212 $0$ 0 ✓ ✓ $0.175$ $0$ $1.17752$ Character $\chi_{695}(212, \cdot)$
1-695-695.213-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.213 $0$ 0 ✓ ✓ $0.0858$ $0$ $0.549861$ Character $\chi_{695}(213, \cdot)$
1-695-695.219-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.219 $0$ 0 ✓ ✓ $-0.375$ $0$ $2.17886$ Character $\chi_{695}(219, \cdot)$
1-695-695.22-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.22 $0$ 0 ✓ ✓ $-0.224$ $0$ $0.841712$ Character $\chi_{695}(22, \cdot)$
1-695-695.223-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.223 $0$ 0 ✓ ✓ $-0.310$ $0$ $0.349422$ Character $\chi_{695}(223, \cdot)$
1-695-695.227-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.227 $0$ 0 ✓ ✓ $0.286$ $0$ $1.68733$ Character $\chi_{695}(227, \cdot)$
1-695-695.23-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.23 $0$ 0 ✓ ✓ $-0.217$ $0$ $0.619282$ Character $\chi_{695}(23, \cdot)$
1-695-695.232-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.232 $0$ 0 ✓ ✓ $0.410$ $0$ $0.0552255$ Character $\chi_{695}(232, \cdot)$
1-695-695.233-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.233 $0$ 0 ✓ ✓ $-0.0553$ $0$ $0.678749$ Character $\chi_{695}(233, \cdot)$
1-695-695.237-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.237 $0$ 0 ✓ ✓ $-0.367$ $0$ $0.795700$ Character $\chi_{695}(237, \cdot)$
1-695-695.239-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.239 $0$ 0 ✓ ✓ $0.404$ $0$ $1.73671$ Character $\chi_{695}(239, \cdot)$
1-695-695.24-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.24 $0$ 0 ✓ ✓ $-0.244$ $0$ $0.735692$ Character $\chi_{695}(24, \cdot)$
1-695-695.242-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.242 $0$ 0 ✓ ✓ $0.150$ $0$ $0.740721$ Character $\chi_{695}(242, \cdot)$
1-695-695.243-r0-0-0 $3.22$ $3.22$ $1$ $5 \cdot 139$ 695.243 $0$ 0 ✓ ✓ $0.448$ $0$ $1.54689$ Character $\chi_{695}(243, \cdot)$
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