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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 (21 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
1-69-69.11-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.11 $0$ 0 ✓ ✓ $0.0558$ $0$ $1.44832$ Character $\chi_{69}(11, \cdot)$
1-69-69.14-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.14 $0$ 0 ✓ ✓ $0.247$ $0$ $1.95685$ Character $\chi_{69}(14, \cdot)$
1-69-69.17-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.17 $0$ 0 ✓ ✓ $0.156$ $0$ $2.36974$ Character $\chi_{69}(17, \cdot)$
1-69-69.20-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.20 $0$ 0 ✓ ✓ $-0.111$ $0$ $1.95354$ Character $\chi_{69}(20, \cdot)$
1-69-69.38-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.38 $0$ 0 ✓ ✓ $0.111$ $0$ $2.71256$ Character $\chi_{69}(38, \cdot)$
1-69-69.44-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.44 $0$ 0 ✓ ✓ $-0.0558$ $0$ $1.91991$ Character $\chi_{69}(44, \cdot)$
1-69-69.5-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.5 $0$ 0 ✓ ✓ $-0.247$ $0$ $0.962325$ Character $\chi_{69}(5, \cdot)$
1-69-69.53-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.53 $0$ 0 ✓ ✓ $0.427$ $0$ $3.11035$ Character $\chi_{69}(53, \cdot)$
1-69-69.56-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.56 $0$ 0 ✓ ✓ $-0.427$ $0$ $0.832490$ Character $\chi_{69}(56, \cdot)$
1-69-69.65-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.65 $0$ 0 ✓ ✓ $-0.156$ $0$ $1.92587$ Character $\chi_{69}(65, \cdot)$
1-69-69.68-r0-0-0 $0.320$ $0.320$ $1$ $3 \cdot 23$ 69.68 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.57186$ Character $\chi_{69}(68, \cdot)$
1-69-69.2-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.2 $1$ 0 ✓ ✓ $0.188$ $0$ $1.56636$ Character $\chi_{69}(2, \cdot)$
1-69-69.26-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.26 $1$ 0 ✓ ✓ $-0.0513$ $0$ $1.69434$ Character $\chi_{69}(26, \cdot)$
1-69-69.29-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.29 $1$ 0 ✓ ✓ $0.496$ $0$ $3.02698$ Character $\chi_{69}(29, \cdot)$
1-69-69.32-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.32 $1$ 0 ✓ ✓ $-0.246$ $0$ $0.475801$ Character $\chi_{69}(32, \cdot)$
1-69-69.35-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.35 $1$ 0 ✓ ✓ $-0.188$ $0$ $0.222729$ Character $\chi_{69}(35, \cdot)$
1-69-69.41-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.41 $1$ 0 ✓ ✓ $0.246$ $0$ $1.94166$ Character $\chi_{69}(41, \cdot)$
1-69-69.50-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.50 $1$ 0 ✓ ✓ $0.496$ $0$ $0.513078$ Character $\chi_{69}(50, \cdot)$
1-69-69.59-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.59 $1$ 0 ✓ ✓ $-0.0663$ $0$ $1.61696$ Character $\chi_{69}(59, \cdot)$
1-69-69.62-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.62 $1$ 0 ✓ ✓ $0.0663$ $0$ $1.14637$ Character $\chi_{69}(62, \cdot)$
1-69-69.8-r1-0-0 $7.41$ $7.41$ $1$ $3 \cdot 23$ 69.8 $1$ 0 ✓ ✓ $0.0513$ $0$ $1.76837$ Character $\chi_{69}(8, \cdot)$
  displayed columns for results