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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)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-111-111.14-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.14 $0$ 0 ✓ ✓ $0.135$ $0$ $1.35716$ Character $\chi_{111}(14, \cdot)$
1-111-111.17-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.17 $0$ 0 ✓ ✓ $-0.0795$ $0$ $1.72334$ Character $\chi_{111}(17, \cdot)$
1-111-111.2-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.2 $0$ 0 ✓ ✓ $0.0578$ $0$ $1.64643$ Character $\chi_{111}(2, \cdot)$
1-111-111.20-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.20 $0$ 0 ✓ ✓ $0.467$ $0$ $2.79932$ Character $\chi_{111}(20, \cdot)$
1-111-111.23-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.23 $0$ 0 ✓ ✓ $-0.0884$ $0$ $2.00695$ Character $\chi_{111}(23, \cdot)$
1-111-111.29-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.29 $0$ 0 ✓ ✓ $0.0884$ $0$ $2.02888$ Character $\chi_{111}(29, \cdot)$
1-111-111.32-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.32 $0$ 0 ✓ ✓ $0.483$ $0$ $0.325560$ Character $\chi_{111}(32, \cdot)$
1-111-111.35-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.35 $0$ 0 ✓ ✓ $-0.0151$ $0$ $1.78447$ Character $\chi_{111}(35, \cdot)$
1-111-111.5-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.5 $0$ 0 ✓ ✓ $0.326$ $0$ $2.79678$ Character $\chi_{111}(5, \cdot)$
1-111-111.50-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.50 $0$ 0 ✓ ✓ $-0.467$ $0$ $0.660513$ Character $\chi_{111}(50, \cdot)$
1-111-111.56-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.56 $0$ 0 ✓ ✓ $-0.0578$ $0$ $1.26028$ Character $\chi_{111}(56, \cdot)$
1-111-111.59-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.59 $0$ 0 ✓ ✓ $-0.483$ $0$ $2.38315$ Character $\chi_{111}(59, \cdot)$
1-111-111.68-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.68 $0$ 0 ✓ ✓ $-0.111$ $0$ $1.59543$ Character $\chi_{111}(68, \cdot)$
1-111-111.8-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.8 $0$ 0 ✓ ✓ $-0.135$ $0$ $1.00359$ Character $\chi_{111}(8, \cdot)$
1-111-111.80-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.80 $0$ 0 ✓ ✓ $0.111$ $0$ $1.39957$ Character $\chi_{111}(80, \cdot)$
1-111-111.89-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.89 $0$ 0 ✓ ✓ $-0.326$ $0$ $1.17151$ Character $\chi_{111}(89, \cdot)$
1-111-111.92-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.92 $0$ 0 ✓ ✓ $0.0151$ $0$ $2.13531$ Character $\chi_{111}(92, \cdot)$
1-111-111.98-r0-0-0 $0.515$ $0.515$ $1$ $3 \cdot 37$ 111.98 $0$ 0 ✓ ✓ $0.0795$ $0$ $1.31186$ Character $\chi_{111}(98, \cdot)$
1-111-111.101-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.101 $1$ 0 ✓ ✓ $-0.380$ $0$ $0.263001$ Character $\chi_{111}(101, \cdot)$
1-111-111.104-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.104 $1$ 0 ✓ ✓ $0.276$ $0$ $2.01712$ Character $\chi_{111}(104, \cdot)$
1-111-111.107-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.107 $1$ 0 ✓ ✓ $0.244$ $0$ $2.02170$ Character $\chi_{111}(107, \cdot)$
1-111-111.11-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.11 $1$ 0 ✓ ✓ $0.380$ $0$ $1.25586$ Character $\chi_{111}(11, \cdot)$
1-111-111.110-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.110 $1$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.71181$ Character $\chi_{111}(110, \cdot)$
1-111-111.26-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.26 $1$ 0 ✓ ✓ $0.476$ $0$ $0.359197$ Character $\chi_{111}(26, \cdot)$
1-111-111.41-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.41 $1$ 0 ✓ ✓ $-0.401$ $0$ $0.510646$ Character $\chi_{111}(41, \cdot)$
1-111-111.44-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.44 $1$ 0 ✓ ✓ $0.0463$ $0$ $0.950648$ Character $\chi_{111}(44, \cdot)$
1-111-111.47-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.47 $1$ 0 ✓ ✓ $-0.476$ $0$ $2.29970$ Character $\chi_{111}(47, \cdot)$
1-111-111.53-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.53 $1$ 0 ✓ ✓ $-0.0463$ $0$ $1.09445$ Character $\chi_{111}(53, \cdot)$
1-111-111.62-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.62 $1$ 0 ✓ ✓ $-0.411$ $0$ $0.859373$ Character $\chi_{111}(62, \cdot)$
1-111-111.65-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.65 $1$ 0 ✓ ✓ $0.401$ $0$ $1.76543$ Character $\chi_{111}(65, \cdot)$
1-111-111.71-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.71 $1$ 0 ✓ ✓ $-0.100$ $0$ $1.08995$ Character $\chi_{111}(71, \cdot)$
1-111-111.77-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.77 $1$ 0 ✓ ✓ $0.411$ $0$ $1.92968$ Character $\chi_{111}(77, \cdot)$
1-111-111.83-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.83 $1$ 0 ✓ ✓ $-0.244$ $0$ $1.03696$ Character $\chi_{111}(83, \cdot)$
1-111-111.86-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.86 $1$ 0 ✓ ✓ $0.100$ $0$ $0.804829$ Character $\chi_{111}(86, \cdot)$
1-111-111.95-r1-0-0 $11.9$ $11.9$ $1$ $3 \cdot 37$ 111.95 $1$ 0 ✓ ✓ $-0.276$ $0$ $0.209941$ Character $\chi_{111}(95, \cdot)$
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