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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 (27 matches)

Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-29-29.13-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.13 $0$ $$ $0$ ✓ ✓ $0.0344$ $0$ $2.69742$ Character $\chi_{29}(13, \cdot)$
1-29-29.16-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.16 $0$ $$ $0$ ✓ ✓ $0.0866$ $0$ $2.95339$ Character $\chi_{29}(16, \cdot)$
1-29-29.20-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.20 $0$ $$ $0$ ✓ ✓ $-0.0866$ $0$ $2.61651$ Character $\chi_{29}(20, \cdot)$
1-29-29.22-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.22 $0$ $$ $0$ ✓ ✓ $-0.157$ $0$ $2.26652$ Character $\chi_{29}(22, \cdot)$
1-29-29.23-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.23 $0$ $$ $0$ ✓ ✓ $-0.406$ $0$ $1.00015$ Character $\chi_{29}(23, \cdot)$
1-29-29.24-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.24 $0$ $$ $0$ ✓ ✓ $0.406$ $0$ $4.08081$ Character $\chi_{29}(24, \cdot)$
1-29-29.25-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.25 $0$ $$ $0$ ✓ ✓ $-0.213$ $0$ $1.61214$ Character $\chi_{29}(25, \cdot)$
1-29-29.28-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.28 $0$ $$ $0$ ✓ ✓ ✓ ✓ $0$ $0$ $1.79380$ Character $\chi_{29}(28, \cdot)$
1-29-29.4-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.4 $0$ $$ $0$ ✓ ✓ $0.157$ $0$ $3.89565$ Character $\chi_{29}(4, \cdot)$
1-29-29.5-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.5 $0$ $$ $0$ ✓ ✓ $-0.191$ $0$ $2.49079$ Character $\chi_{29}(5, \cdot)$
1-29-29.6-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.6 $0$ $$ $0$ ✓ ✓ $0.191$ $0$ $3.60892$ Character $\chi_{29}(6, \cdot)$
1-29-29.7-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.7 $0$ $$ $0$ ✓ ✓ $0.213$ $0$ $2.96022$ Character $\chi_{29}(7, \cdot)$
1-29-29.9-r0-0-0 $0.134$ $0.134$ $1$ $29$ 29.9 $0$ $$ $0$ ✓ ✓ $-0.0344$ $0$ $1.79704$ Character $\chi_{29}(9, \cdot)$
1-29-29.10-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.10 $1$ $$ $0$ ✓ ✓ $-0.123$ $0$ $2.10538$ Character $\chi_{29}(10, \cdot)$
1-29-29.11-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.11 $1$ $$ $0$ ✓ ✓ $-0.362$ $0$ $0.857889$ Character $\chi_{29}(11, \cdot)$
1-29-29.12-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.12 $1$ $$ $0$ ✓ ✓ $-0.469$ $0$ $4.05675$ Character $\chi_{29}(12, \cdot)$
1-29-29.14-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.14 $1$ $$ $0$ ✓ ✓ $-0.458$ $0$ $3.11052$ Character $\chi_{29}(14, \cdot)$
1-29-29.15-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.15 $1$ $$ $0$ ✓ ✓ $-0.127$ $0$ $2.13408$ Character $\chi_{29}(15, \cdot)$
1-29-29.17-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.17 $1$ $$ $0$ ✓ ✓ $0.469$ $0$ $0.684776$ Character $\chi_{29}(17, \cdot)$
1-29-29.18-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.18 $1$ $$ $0$ ✓ ✓ $-0.115$ $0$ $1.10800$ Character $\chi_{29}(18, \cdot)$
1-29-29.19-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.19 $1$ $$ $0$ ✓ ✓ $0.0145$ $0$ $1.20630$ Character $\chi_{29}(19, \cdot)$
1-29-29.2-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.2 $1$ $$ $0$ ✓ ✓ $0.127$ $0$ $2.95526$ Character $\chi_{29}(2, \cdot)$
1-29-29.21-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.21 $1$ $$ $0$ ✓ ✓ $0.115$ $0$ $2.36624$ Character $\chi_{29}(21, \cdot)$
1-29-29.26-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.26 $1$ $$ $0$ ✓ ✓ $-0.0145$ $0$ $1.62448$ Character $\chi_{29}(26, \cdot)$
1-29-29.27-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.27 $1$ $$ $0$ ✓ ✓ $0.458$ $0$ $0.286293$ Character $\chi_{29}(27, \cdot)$
1-29-29.3-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.3 $1$ $$ $0$ ✓ ✓ $0.123$ $0$ $2.37695$ Character $\chi_{29}(3, \cdot)$
1-29-29.8-r1-0-0 $3.11$ $3.11$ $1$ $29$ 29.8 $1$ $$ $0$ ✓ ✓ $0.362$ $0$ $3.31077$ Character $\chi_{29}(8, \cdot)$