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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 (35 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
1-37-37.10-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.10 $0$ 0 ✓ ✓ $0.190$ $0$ $2.88826$ Character $\chi_{37}(10, \cdot)$
1-37-37.11-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.11 $0$ 0 ✓ ✓ $-0.286$ $0$ $1.69586$ Character $\chi_{37}(11, \cdot)$
1-37-37.12-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.12 $0$ 0 ✓ ✓ $-0.121$ $0$ $2.17733$ Character $\chi_{37}(12, \cdot)$
1-37-37.16-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.16 $0$ 0 ✓ ✓ $0.0647$ $0$ $2.98263$ Character $\chi_{37}(16, \cdot)$
1-37-37.21-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.21 $0$ 0 ✓ ✓ $-0.165$ $0$ $1.95336$ Character $\chi_{37}(21, \cdot)$
1-37-37.25-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.25 $0$ 0 ✓ ✓ $0.365$ $0$ $3.79770$ Character $\chi_{37}(25, \cdot)$
1-37-37.26-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.26 $0$ 0 ✓ ✓ $-0.190$ $0$ $0.898061$ Character $\chi_{37}(26, \cdot)$
1-37-37.27-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.27 $0$ 0 ✓ ✓ $0.286$ $0$ $3.68644$ Character $\chi_{37}(27, \cdot)$
1-37-37.28-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.28 $0$ 0 ✓ ✓ $-0.153$ $0$ $1.96857$ Character $\chi_{37}(28, \cdot)$
1-37-37.3-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.3 $0$ 0 ✓ ✓ $-0.365$ $0$ $1.36111$ Character $\chi_{37}(3, \cdot)$
1-37-37.30-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.30 $0$ 0 ✓ ✓ $0.165$ $0$ $2.49646$ Character $\chi_{37}(30, \cdot)$
1-37-37.33-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.33 $0$ 0 ✓ ✓ $-0.200$ $0$ $1.06630$ Character $\chi_{37}(33, \cdot)$
1-37-37.34-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.34 $0$ 0 ✓ ✓ $0.121$ $0$ $2.54193$ Character $\chi_{37}(34, \cdot)$
1-37-37.36-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.36 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $2.05722$ Character $\chi_{37}(36, \cdot)$
1-37-37.4-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.4 $0$ 0 ✓ ✓ $0.153$ $0$ $3.29169$ Character $\chi_{37}(4, \cdot)$
1-37-37.7-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.7 $0$ 0 ✓ ✓ $-0.0647$ $0$ $2.96773$ Character $\chi_{37}(7, \cdot)$
1-37-37.9-r0-0-0 $0.171$ $0.171$ $1$ $37$ 37.9 $0$ 0 ✓ ✓ $0.200$ $0$ $2.16828$ Character $\chi_{37}(9, \cdot)$
1-37-37.13-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.13 $1$ 0 ✓ ✓ $0.0884$ $0$ $1.69684$ Character $\chi_{37}(13, \cdot)$
1-37-37.14-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.14 $1$ 0 ✓ ✓ $-0.198$ $0$ $1.93799$ Character $\chi_{37}(14, \cdot)$
1-37-37.15-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.15 $1$ 0 ✓ ✓ $-0.215$ $0$ $0.123527$ Character $\chi_{37}(15, \cdot)$
1-37-37.17-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.17 $1$ 0 ✓ ✓ $0.364$ $0$ $3.21010$ Character $\chi_{37}(17, \cdot)$
1-37-37.18-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.18 $1$ 0 ✓ ✓ $0.237$ $0$ $1.85723$ Character $\chi_{37}(18, \cdot)$
1-37-37.19-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.19 $1$ 0 ✓ ✓ $0.164$ $0$ $2.81510$ Character $\chi_{37}(19, \cdot)$
1-37-37.2-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.2 $1$ 0 ✓ ✓ $-0.164$ $0$ $1.46430$ Character $\chi_{37}(2, \cdot)$
1-37-37.20-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.20 $1$ 0 ✓ ✓ $-0.0884$ $0$ $1.89439$ Character $\chi_{37}(20, \cdot)$
1-37-37.22-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.22 $1$ 0 ✓ ✓ $-0.372$ $0$ $0.771298$ Character $\chi_{37}(22, \cdot)$
1-37-37.23-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.23 $1$ 0 ✓ ✓ $-0.421$ $0$ $0.285715$ Character $\chi_{37}(23, \cdot)$
1-37-37.24-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.24 $1$ 0 ✓ ✓ $-0.364$ $0$ $1.16522$ Character $\chi_{37}(24, \cdot)$
1-37-37.29-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.29 $1$ 0 ✓ ✓ $0.421$ $0$ $2.85855$ Character $\chi_{37}(29, \cdot)$
1-37-37.31-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.31 $1$ 0 ✓ ✓ $-0.111$ $0$ $0.615496$ Character $\chi_{37}(31, \cdot)$
1-37-37.32-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.32 $1$ 0 ✓ ✓ $0.372$ $0$ $2.86376$ Character $\chi_{37}(32, \cdot)$
1-37-37.35-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.35 $1$ 0 ✓ ✓ $-0.237$ $0$ $1.01296$ Character $\chi_{37}(35, \cdot)$
1-37-37.5-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.5 $1$ 0 ✓ ✓ $0.215$ $0$ $1.71803$ Character $\chi_{37}(5, \cdot)$
1-37-37.6-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.6 $1$ 0 ✓ ✓ $0.111$ $0$ $1.89103$ Character $\chi_{37}(6, \cdot)$
1-37-37.8-r1-0-0 $3.97$ $3.97$ $1$ $37$ 37.8 $1$ 0 ✓ ✓ $0.198$ $0$ $2.87938$ Character $\chi_{37}(8, \cdot)$
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