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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 (34 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
1-684-684.139-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.139 $1$ 0 ✓ ✓ $-0.0579$ $0$ $0.540938$ Character $\chi_{684}(139, \cdot)$
1-684-684.155-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.155 $1$ 0 ✓ ✓ $0.0834$ $0$ $0.539159$ Character $\chi_{684}(155, \cdot)$
1-684-684.167-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.167 $1$ 0 ✓ ✓ $0.397$ $0$ $0.0200497$ Character $\chi_{684}(167, \cdot)$
1-684-684.175-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.175 $1$ 0 ✓ ✓ $-0.478$ $0$ $1.33569$ Character $\chi_{684}(175, \cdot)$
1-684-684.187-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.187 $1$ 0 ✓ ✓ $0.0579$ $0$ $0.836852$ Character $\chi_{684}(187, \cdot)$
1-684-684.203-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.203 $1$ 0 ✓ ✓ $-0.0834$ $0$ $0.464620$ Character $\chi_{684}(203, \cdot)$
1-684-684.227-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.227 $1$ 0 ✓ ✓ $0.472$ $0$ $0.0733697$ Character $\chi_{684}(227, \cdot)$
1-684-684.283-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.283 $1$ 0 ✓ ✓ $-0.113$ $0$ $0.328705$ Character $\chi_{684}(283, \cdot)$
1-684-684.299-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.299 $1$ 0 ✓ ✓ $-0.397$ $0$ $1.75926$ Character $\chi_{684}(299, \cdot)$
1-684-684.335-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.335 $1$ 0 ✓ ✓ $-0.460$ $0$ $1.60032$ Character $\chi_{684}(335, \cdot)$
1-684-684.367-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.367 $1$ 0 ✓ ✓ $0.386$ $0$ $0.0547565$ Character $\chi_{684}(367, \cdot)$
1-684-684.371-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.371 $1$ 0 ✓ ✓ $-0.0518$ $0$ $1.13682$ Character $\chi_{684}(371, \cdot)$
1-684-684.383-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.383 $1$ 0 ✓ ✓ $0.138$ $0$ $1.05642$ Character $\chi_{684}(383, \cdot)$
1-684-684.391-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.391 $1$ 0 ✓ ✓ $-0.355$ $0$ $0.253164$ Character $\chi_{684}(391, \cdot)$
1-684-684.403-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.403 $1$ 0 ✓ ✓ $-0.0339$ $0$ $0.792029$ Character $\chi_{684}(403, \cdot)$
1-684-684.407-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.407 $1$ 0 ✓ ✓ $0.404$ $0$ $1.19395$ Character $\chi_{684}(407, \cdot)$
1-684-684.427-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.427 $1$ 0 ✓ ✓ $-0.330$ $0$ $0.361465$ Character $\chi_{684}(427, \cdot)$
1-684-684.43-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.43 $1$ 0 ✓ ✓ $0.478$ $0$ $0.195812$ Character $\chi_{684}(43, \cdot)$
1-684-684.455-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.455 $1$ 0 ✓ ✓ $-0.472$ $0$ $1.64613$ Character $\chi_{684}(455, \cdot)$
1-684-684.463-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.463 $1$ 0 ✓ ✓ $-0.0894$ $0$ $0.826440$ Character $\chi_{684}(463, \cdot)$
1-684-684.499-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.499 $1$ 0 ✓ ✓ $0.0339$ $0$ $0.929634$ Character $\chi_{684}(499, \cdot)$
1-684-684.511-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.511 $1$ 0 ✓ ✓ $0.330$ $0$ $1.10313$ Character $\chi_{684}(511, \cdot)$
1-684-684.515-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.515 $1$ 0 ✓ ✓ $0.00368$ $0$ $0.578482$ Character $\chi_{684}(515, \cdot)$
1-684-684.527-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.527 $1$ 0 ✓ ✓ $-0.341$ $0$ $0.0209046$ Character $\chi_{684}(527, \cdot)$
1-684-684.563-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.563 $1$ 0 ✓ ✓ $-0.404$ $0$ $0.229355$ Character $\chi_{684}(563, \cdot)$
1-684-684.59-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.59 $1$ 0 ✓ ✓ $0.0518$ $0$ $1.03338$ Character $\chi_{684}(59, \cdot)$
1-684-684.599-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.599 $1$ 0 ✓ ✓ $0.00368$ $0$ $0.447517$ Character $\chi_{684}(599, \cdot)$
1-684-684.619-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.619 $1$ 0 ✓ ✓ $0.0894$ $0$ $1.00887$ Character $\chi_{684}(619, \cdot)$
1-684-684.623-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.623 $1$ 0 ✓ ✓ $0.341$ $0$ $1.05189$ Character $\chi_{684}(623, \cdot)$
1-684-684.635-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.635 $1$ 0 ✓ ✓ $0.460$ $0$ $0.102212$ Character $\chi_{684}(635, \cdot)$
1-684-684.643-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.643 $1$ 0 ✓ ✓ $-0.386$ $0$ $1.74580$ Character $\chi_{684}(643, \cdot)$
1-684-684.655-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.655 $1$ 0 ✓ ✓ $0.113$ $0$ $0.623228$ Character $\chi_{684}(655, \cdot)$
1-684-684.659-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.659 $1$ 0 ✓ ✓ $-0.138$ $0$ $0.542848$ Character $\chi_{684}(659, \cdot)$
1-684-684.7-r1-0-0 $73.5$ $73.5$ $1$ $2^{2} \cdot 3^{2} \cdot 19$ 684.7 $1$ 0 ✓ ✓ $0.355$ $0$ $1.32070$ Character $\chi_{684}(7, \cdot)$
  displayed columns for results