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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 (45 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
1-77-77.10-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.10 $0$ 0 ✓ ✓ $-0.146$ $0$ $1.83564$ Character $\chi_{77}(10, \cdot)$
1-77-77.13-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.13 $0$ 0 ✓ ✓ $0.246$ $0$ $2.79075$ Character $\chi_{77}(13, \cdot)$
1-77-77.16-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.16 $0$ 0 ✓ ✓ $0.202$ $0$ $2.52494$ Character $\chi_{77}(16, \cdot)$
1-77-77.17-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.17 $0$ 0 ✓ ✓ $-0.392$ $0$ $3.70030$ Character $\chi_{77}(17, \cdot)$
1-77-77.19-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.19 $0$ 0 ✓ ✓ $0.107$ $0$ $2.79197$ Character $\chi_{77}(19, \cdot)$
1-77-77.24-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.24 $0$ 0 ✓ ✓ $0.100$ $0$ $1.94405$ Character $\chi_{77}(24, \cdot)$
1-77-77.25-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.25 $0$ 0 ✓ ✓ $0.236$ $0$ $2.99083$ Character $\chi_{77}(25, \cdot)$
1-77-77.37-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.37 $0$ 0 ✓ ✓ $-0.236$ $0$ $1.73665$ Character $\chi_{77}(37, \cdot)$
1-77-77.4-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.4 $0$ 0 ✓ ✓ $0.243$ $0$ $2.22328$ Character $\chi_{77}(4, \cdot)$
1-77-77.40-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.40 $0$ 0 ✓ ✓ $0.185$ $0$ $1.51748$ Character $\chi_{77}(40, \cdot)$
1-77-77.41-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.41 $0$ 0 ✓ ✓ $-0.0389$ $0$ $1.29819$ Character $\chi_{77}(41, \cdot)$
1-77-77.52-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.52 $0$ 0 ✓ ✓ $-0.185$ $0$ $1.22666$ Character $\chi_{77}(52, \cdot)$
1-77-77.53-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.53 $0$ 0 ✓ ✓ $-0.202$ $0$ $1.34285$ Character $\chi_{77}(53, \cdot)$
1-77-77.54-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.54 $0$ 0 ✓ ✓ $0.146$ $0$ $2.37795$ Character $\chi_{77}(54, \cdot)$
1-77-77.58-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.58 $0$ 0 ✓ ✓ $-0.243$ $0$ $1.05579$ Character $\chi_{77}(58, \cdot)$
1-77-77.6-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.6 $0$ 0 ✓ ✓ $-0.246$ $0$ $1.72612$ Character $\chi_{77}(6, \cdot)$
1-77-77.60-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.60 $0$ 0 ✓ ✓ $-0.317$ $0$ $1.56073$ Character $\chi_{77}(60, \cdot)$
1-77-77.61-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.61 $0$ 0 ✓ ✓ $-0.100$ $0$ $1.57992$ Character $\chi_{77}(61, \cdot)$
1-77-77.62-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.62 $0$ 0 ✓ ✓ $0.0389$ $0$ $2.28224$ Character $\chi_{77}(62, \cdot)$
1-77-77.68-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.68 $0$ 0 ✓ ✓ $0.392$ $0$ $0.438481$ Character $\chi_{77}(68, \cdot)$
1-77-77.73-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.73 $0$ 0 ✓ ✓ $-0.107$ $0$ $1.80112$ Character $\chi_{77}(73, \cdot)$
1-77-77.76-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.76 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.07518$ Character $\chi_{77}(76, \cdot)$
1-77-77.9-r0-0-0 $0.357$ $0.357$ $1$ $7 \cdot 11$ 77.9 $0$ 0 ✓ ✓ $0.317$ $0$ $2.63246$ Character $\chi_{77}(9, \cdot)$
1-77-77.18-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.18 $1$ 0 ✓ ✓ $0.278$ $0$ $2.57180$ Character $\chi_{77}(18, \cdot)$
1-77-77.2-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.2 $1$ 0 ✓ ✓ $0.00658$ $0$ $1.81470$ Character $\chi_{77}(2, \cdot)$
1-77-77.20-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.20 $1$ 0 ✓ ✓ $0.0572$ $0$ $1.23182$ Character $\chi_{77}(20, \cdot)$
1-77-77.26-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.26 $1$ 0 ✓ ✓ $-0.349$ $0$ $0.753916$ Character $\chi_{77}(26, \cdot)$
1-77-77.27-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.27 $1$ 0 ✓ ✓ $-0.0572$ $0$ $0.964655$ Character $\chi_{77}(27, \cdot)$
1-77-77.3-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.3 $1$ 0 ✓ ✓ $0.349$ $0$ $2.04676$ Character $\chi_{77}(3, \cdot)$
1-77-77.30-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.30 $1$ 0 ✓ ✓ $-0.278$ $0$ $1.27510$ Character $\chi_{77}(30, \cdot)$
1-77-77.31-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.31 $1$ 0 ✓ ✓ $-0.0892$ $0$ $1.88746$ Character $\chi_{77}(31, \cdot)$
1-77-77.32-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.32 $1$ 0 ✓ ✓ $0.239$ $0$ $1.93547$ Character $\chi_{77}(32, \cdot)$
1-77-77.38-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.38 $1$ 0 ✓ ✓ $-0.203$ $0$ $0.613133$ Character $\chi_{77}(38, \cdot)$
1-77-77.39-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.39 $1$ 0 ✓ ✓ $-0.00658$ $0$ $1.16516$ Character $\chi_{77}(39, \cdot)$
1-77-77.46-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.46 $1$ 0 ✓ ✓ $0.486$ $0$ $1.50367$ Character $\chi_{77}(46, \cdot)$
1-77-77.47-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.47 $1$ 0 ✓ ✓ $-0.357$ $0$ $2.54180$ Character $\chi_{77}(47, \cdot)$
1-77-77.48-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.48 $1$ 0 ✓ ✓ $0.496$ $0$ $2.94676$ Character $\chi_{77}(48, \cdot)$
1-77-77.5-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.5 $1$ 0 ✓ ✓ $0.0892$ $0$ $1.98763$ Character $\chi_{77}(5, \cdot)$
1-77-77.51-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.51 $1$ 0 ✓ ✓ $-0.200$ $0$ $0.541385$ Character $\chi_{77}(51, \cdot)$
1-77-77.59-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.59 $1$ 0 ✓ ✓ $0.357$ $0$ $0.172310$ Character $\chi_{77}(59, \cdot)$
1-77-77.65-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.65 $1$ 0 ✓ ✓ $-0.239$ $0$ $0.0140011$ Character $\chi_{77}(65, \cdot)$
1-77-77.69-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.69 $1$ 0 ✓ ✓ $0.496$ $0$ $0.803033$ Character $\chi_{77}(69, \cdot)$
1-77-77.72-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.72 $1$ 0 ✓ ✓ $-0.486$ $0$ $0.0172927$ Character $\chi_{77}(72, \cdot)$
1-77-77.74-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.74 $1$ 0 ✓ ✓ $0.200$ $0$ $1.81695$ Character $\chi_{77}(74, \cdot)$
1-77-77.75-r1-0-0 $8.27$ $8.27$ $1$ $7 \cdot 11$ 77.75 $1$ 0 ✓ ✓ $0.203$ $0$ $1.03682$ Character $\chi_{77}(75, \cdot)$
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