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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 (45 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
1-85-85.12-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.12 $0$ 0 ✓ ✓ $-0.123$ $0$ $1.21825$ Character $\chi_{85}(12, \cdot)$
1-85-85.19-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.19 $0$ 0 ✓ ✓ $-0.00740$ $0$ $1.67927$ Character $\chi_{85}(19, \cdot)$
1-85-85.22-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.22 $0$ 0 ✓ ✓ $-0.0630$ $0$ $1.69148$ Character $\chi_{85}(22, \cdot)$
1-85-85.23-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.23 $0$ 0 ✓ ✓ $-0.0552$ $0$ $2.12546$ Character $\chi_{85}(23, \cdot)$
1-85-85.27-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.27 $0$ 0 ✓ ✓ $-0.200$ $0$ $2.00223$ Character $\chi_{85}(27, \cdot)$
1-85-85.28-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.28 $0$ 0 ✓ ✓ $-0.378$ $0$ $1.16090$ Character $\chi_{85}(28, \cdot)$
1-85-85.3-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.3 $0$ 0 ✓ ✓ $0.379$ $0$ $2.54528$ Character $\chi_{85}(3, \cdot)$
1-85-85.37-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.37 $0$ 0 ✓ ✓ $0.0552$ $0$ $2.06187$ Character $\chi_{85}(37, \cdot)$
1-85-85.4-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.4 $0$ 0 ✓ ✓ $0.105$ $0$ $2.50406$ Character $\chi_{85}(4, \cdot)$
1-85-85.48-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.48 $0$ 0 ✓ ✓ $-0.297$ $0$ $1.24294$ Character $\chi_{85}(48, \cdot)$
1-85-85.49-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.49 $0$ 0 ✓ ✓ $-0.387$ $0$ $1.15832$ Character $\chi_{85}(49, \cdot)$
1-85-85.57-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.57 $0$ 0 ✓ ✓ $-0.379$ $0$ $0.318086$ Character $\chi_{85}(57, \cdot)$
1-85-85.58-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.58 $0$ 0 ✓ ✓ $0.0630$ $0$ $1.63821$ Character $\chi_{85}(58, \cdot)$
1-85-85.59-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.59 $0$ 0 ✓ ✓ $0.387$ $0$ $2.85299$ Character $\chi_{85}(59, \cdot)$
1-85-85.62-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.62 $0$ 0 ✓ ✓ $0.297$ $0$ $2.11557$ Character $\chi_{85}(62, \cdot)$
1-85-85.63-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.63 $0$ 0 ✓ ✓ $0.200$ $0$ $2.80613$ Character $\chi_{85}(63, \cdot)$
1-85-85.64-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.64 $0$ 0 ✓ ✓ $-0.105$ $0$ $1.97918$ Character $\chi_{85}(64, \cdot)$
1-85-85.7-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.7 $0$ 0 ✓ ✓ $-0.260$ $0$ $1.14813$ Character $\chi_{85}(7, \cdot)$
1-85-85.73-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.73 $0$ 0 ✓ ✓ $0.260$ $0$ $2.35910$ Character $\chi_{85}(73, \cdot)$
1-85-85.78-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.78 $0$ 0 ✓ ✓ $0.123$ $0$ $1.21907$ Character $\chi_{85}(78, \cdot)$
1-85-85.82-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.82 $0$ 0 ✓ ✓ $0.378$ $0$ $3.23688$ Character $\chi_{85}(82, \cdot)$
1-85-85.84-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.84 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.75250$ Character $\chi_{85}(84, \cdot)$
1-85-85.9-r0-0-0 $0.394$ $0.394$ $1$ $5 \cdot 17$ 85.9 $0$ 0 ✓ ✓ $0.00740$ $0$ $1.13465$ Character $\chi_{85}(9, \cdot)$
1-85-85.13-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.13 $1$ 0 ✓ ✓ $0.0563$ $0$ $0.597963$ Character $\chi_{85}(13, \cdot)$
1-85-85.14-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.14 $1$ 0 ✓ ✓ $0.0402$ $0$ $1.03870$ Character $\chi_{85}(14, \cdot)$
1-85-85.2-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.2 $1$ 0 ✓ ✓ $-0.169$ $0$ $0.822072$ Character $\chi_{85}(2, \cdot)$
1-85-85.24-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.24 $1$ 0 ✓ ✓ $0.401$ $0$ $2.62372$ Character $\chi_{85}(24, \cdot)$
1-85-85.29-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.29 $1$ 0 ✓ ✓ $-0.461$ $0$ $0.255393$ Character $\chi_{85}(29, \cdot)$
1-85-85.32-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.32 $1$ 0 ✓ ✓ $0.451$ $0$ $2.21144$ Character $\chi_{85}(32, \cdot)$
1-85-85.33-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.33 $1$ 0 ✓ ✓ $0.161$ $0$ $1.84112$ Character $\chi_{85}(33, \cdot)$
1-85-85.38-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.38 $1$ 0 ✓ ✓ $0.267$ $0$ $1.77964$ Character $\chi_{85}(38, \cdot)$
1-85-85.39-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.39 $1$ 0 ✓ ✓ $-0.401$ $0$ $1.09766$ Character $\chi_{85}(39, \cdot)$
1-85-85.42-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.42 $1$ 0 ✓ ✓ $0.225$ $0$ $2.04800$ Character $\chi_{85}(42, \cdot)$
1-85-85.43-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.43 $1$ 0 ✓ ✓ $0.169$ $0$ $1.13839$ Character $\chi_{85}(43, \cdot)$
1-85-85.44-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.44 $1$ 0 ✓ ✓ $0.461$ $0$ $2.32359$ Character $\chi_{85}(44, \cdot)$
1-85-85.47-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.47 $1$ 0 ✓ ✓ $-0.267$ $0$ $1.17610$ Character $\chi_{85}(47, \cdot)$
1-85-85.53-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.53 $1$ 0 ✓ ✓ $0.154$ $0$ $2.32968$ Character $\chi_{85}(53, \cdot)$
1-85-85.54-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.54 $1$ 0 ✓ ✓ $-0.282$ $0$ $0.207175$ Character $\chi_{85}(54, \cdot)$
1-85-85.67-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.67 $1$ 0 ✓ ✓ $-0.161$ $0$ $0.128735$ Character $\chi_{85}(67, \cdot)$
1-85-85.72-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.72 $1$ 0 ✓ ✓ $-0.0563$ $0$ $0.996032$ Character $\chi_{85}(72, \cdot)$
1-85-85.74-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.74 $1$ 0 ✓ ✓ $0.282$ $0$ $1.42138$ Character $\chi_{85}(74, \cdot)$
1-85-85.77-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.77 $1$ 0 ✓ ✓ $-0.154$ $0$ $1.43644$ Character $\chi_{85}(77, \cdot)$
1-85-85.79-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.79 $1$ 0 ✓ ✓ $-0.0402$ $0$ $1.47483$ Character $\chi_{85}(79, \cdot)$
1-85-85.8-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.8 $1$ 0 ✓ ✓ $-0.451$ $0$ $0.364311$ Character $\chi_{85}(8, \cdot)$
1-85-85.83-r1-0-0 $9.13$ $9.13$ $1$ $5 \cdot 17$ 85.83 $1$ 0 ✓ ✓ $-0.225$ $0$ $1.01197$ Character $\chi_{85}(83, \cdot)$
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