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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 (17 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
1-228-228.11-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.11 $0$ 0 ✓ ✓ $0.200$ $0$ $1.76535$ Character $\chi_{228}(11, \cdot)$
1-228-228.119-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.119 $0$ 0 ✓ ✓ $-0.299$ $0$ $0.676878$ Character $\chi_{228}(119, \cdot)$
1-228-228.131-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.131 $0$ 0 ✓ ✓ $-0.113$ $0$ $0.889600$ Character $\chi_{228}(131, \cdot)$
1-228-228.215-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.215 $0$ 0 ✓ ✓ $0.0531$ $0$ $1.61390$ Character $\chi_{228}(215, \cdot)$
1-228-228.23-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.23 $0$ 0 ✓ ✓ $0.299$ $0$ $2.10155$ Character $\chi_{228}(23, \cdot)$
1-228-228.35-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.35 $0$ 0 ✓ ✓ $-0.0531$ $0$ $1.27316$ Character $\chi_{228}(35, \cdot)$
1-228-228.47-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.47 $0$ 0 ✓ ✓ $0.113$ $0$ $1.46449$ Character $\chi_{228}(47, \cdot)$
1-228-228.83-r0-0-0 $1.05$ $1.05$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.83 $0$ 0 ✓ ✓ $-0.200$ $0$ $0.855585$ Character $\chi_{228}(83, \cdot)$
1-228-228.107-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.107 $1$ 0 ✓ ✓ $-0.265$ $0$ $0.560436$ Character $\chi_{228}(107, \cdot)$
1-228-228.143-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.143 $1$ 0 ✓ ✓ $-0.301$ $0$ $0.344211$ Character $\chi_{228}(143, \cdot)$
1-228-228.155-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.155 $1$ 0 ✓ ✓ $-0.277$ $0$ $0.527167$ Character $\chi_{228}(155, \cdot)$
1-228-228.167-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.167 $1$ 0 ✓ ✓ $0.425$ $0$ $1.85587$ Character $\chi_{228}(167, \cdot)$
1-228-228.179-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.179 $1$ 0 ✓ ✓ $0.265$ $0$ $1.41171$ Character $\chi_{228}(179, \cdot)$
1-228-228.203-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.203 $1$ 0 ✓ ✓ $0.277$ $0$ $1.71601$ Character $\chi_{228}(203, \cdot)$
1-228-228.227-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.227 $1$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $0.671573$ Character $\chi_{228}(227, \cdot)$
1-228-228.59-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.59 $1$ 0 ✓ ✓ $0.301$ $0$ $1.31634$ Character $\chi_{228}(59, \cdot)$
1-228-228.71-r1-0-0 $24.5$ $24.5$ $1$ $2^{2} \cdot 3 \cdot 19$ 228.71 $1$ 0 ✓ ✓ $-0.425$ $0$ $0.410616$ Character $\chi_{228}(71, \cdot)$
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