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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 (36 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
1-648-648.11-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.11 $0$ 0 ✓ ✓ $0.237$ $0$ $1.59412$ Character $\chi_{648}(11, \cdot)$
1-648-648.13-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.13 $0$ 0 ✓ ✓ $-0.209$ $0$ $0.596767$ Character $\chi_{648}(13, \cdot)$
1-648-648.131-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.131 $0$ 0 ✓ ✓ $-0.126$ $0$ $0.486377$ Character $\chi_{648}(131, \cdot)$
1-648-648.133-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.133 $0$ 0 ✓ ✓ $-0.123$ $0$ $1.10646$ Character $\chi_{648}(133, \cdot)$
1-648-648.155-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.155 $0$ 0 ✓ ✓ $0.126$ $0$ $1.35263$ Character $\chi_{648}(155, \cdot)$
1-648-648.157-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.157 $0$ 0 ✓ ✓ $-0.320$ $0$ $0.632249$ Character $\chi_{648}(157, \cdot)$
1-648-648.203-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.203 $0$ 0 ✓ ✓ $0.206$ $0$ $1.56691$ Character $\chi_{648}(203, \cdot)$
1-648-648.205-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.205 $0$ 0 ✓ ✓ $-0.345$ $0$ $0.473768$ Character $\chi_{648}(205, \cdot)$
1-648-648.227-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.227 $0$ 0 ✓ ✓ $-0.429$ $0$ $0.351491$ Character $\chi_{648}(227, \cdot)$
1-648-648.229-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.229 $0$ 0 ✓ ✓ $0.123$ $0$ $1.34177$ Character $\chi_{648}(229, \cdot)$
1-648-648.275-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.275 $0$ 0 ✓ ✓ $0.0956$ $0$ $1.25634$ Character $\chi_{648}(275, \cdot)$
1-648-648.277-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.277 $0$ 0 ✓ ✓ $-0.123$ $0$ $0.890262$ Character $\chi_{648}(277, \cdot)$
1-648-648.299-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.299 $0$ 0 ✓ ✓ $0.459$ $0$ $1.65621$ Character $\chi_{648}(299, \cdot)$
1-648-648.301-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.301 $0$ 0 ✓ ✓ $0.123$ $0$ $1.16875$ Character $\chi_{648}(301, \cdot)$
1-648-648.347-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.347 $0$ 0 ✓ ✓ $-0.126$ $0$ $0.743573$ Character $\chi_{648}(347, \cdot)$
1-648-648.349-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.349 $0$ 0 ✓ ✓ $0.209$ $0$ $1.37885$ Character $\chi_{648}(349, \cdot)$
1-648-648.371-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.371 $0$ 0 ✓ ✓ $0.126$ $0$ $0.894985$ Character $\chi_{648}(371, \cdot)$
1-648-648.373-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.373 $0$ 0 ✓ ✓ $0.345$ $0$ $1.72130$ Character $\chi_{648}(373, \cdot)$
1-648-648.419-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.419 $0$ 0 ✓ ✓ $-0.126$ $0$ $0.836565$ Character $\chi_{648}(419, \cdot)$
1-648-648.421-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.421 $0$ 0 ✓ ✓ $0.320$ $0$ $1.74170$ Character $\chi_{648}(421, \cdot)$
1-648-648.443-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.443 $0$ 0 ✓ ✓ $-0.0956$ $0$ $0.748834$ Character $\chi_{648}(443, \cdot)$
1-648-648.445-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.445 $0$ 0 ✓ ✓ $0.456$ $0$ $0.122266$ Character $\chi_{648}(445, \cdot)$
1-648-648.491-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.491 $0$ 0 ✓ ✓ $0.429$ $0$ $1.71890$ Character $\chi_{648}(491, \cdot)$
1-648-648.493-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.493 $0$ 0 ✓ ✓ $-0.123$ $0$ $0.642139$ Character $\chi_{648}(493, \cdot)$
1-648-648.515-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.515 $0$ 0 ✓ ✓ $0.126$ $0$ $1.09531$ Character $\chi_{648}(515, \cdot)$
1-648-648.517-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.517 $0$ 0 ✓ ✓ $0.123$ $0$ $1.53081$ Character $\chi_{648}(517, \cdot)$
1-648-648.563-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.563 $0$ 0 ✓ ✓ $-0.126$ $0$ $1.00479$ Character $\chi_{648}(563, \cdot)$
1-648-648.565-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.565 $0$ 0 ✓ ✓ $-0.456$ $0$ $1.90169$ Character $\chi_{648}(565, \cdot)$
1-648-648.587-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.587 $0$ 0 ✓ ✓ $0.126$ $0$ $1.49349$ Character $\chi_{648}(587, \cdot)$
1-648-648.589-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.589 $0$ 0 ✓ ✓ $0.0123$ $0$ $0.876534$ Character $\chi_{648}(589, \cdot)$
1-648-648.59-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.59 $0$ 0 ✓ ✓ $-0.237$ $0$ $0.689139$ Character $\chi_{648}(59, \cdot)$
1-648-648.61-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.61 $0$ 0 ✓ ✓ $-0.123$ $0$ $0.700860$ Character $\chi_{648}(61, \cdot)$
1-648-648.635-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.635 $0$ 0 ✓ ✓ $-0.459$ $0$ $0.0520512$ Character $\chi_{648}(635, \cdot)$
1-648-648.637-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.637 $0$ 0 ✓ ✓ $-0.0123$ $0$ $0.927890$ Character $\chi_{648}(637, \cdot)$
1-648-648.83-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.83 $0$ 0 ✓ ✓ $-0.206$ $0$ $0.790258$ Character $\chi_{648}(83, \cdot)$
1-648-648.85-r0-0-0 $3.00$ $3.00$ $1$ $2^{3} \cdot 3^{4}$ 648.85 $0$ 0 ✓ ✓ $0.123$ $0$ $1.03033$ Character $\chi_{648}(85, \cdot)$
  displayed columns for results