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Label | $\alpha$ | $A$ | $d$ | $N$ | $\chi$ | $\mu$ | $\nu$ | $w$ | prim | $\epsilon$ | $r$ | First zero | Origin |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1-1-1.1-r0-0-0 | $0.00464$ | $0.00464$ | $1$ | $1$ | 1.1 | 0 | ✓ | $1$ | $0$ | $14.1347$ | Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Character $\chi_{1}(1, \cdot)$ Number field \(\Q\) | ||
1-5-5.4-r0-0-0 | $0.0232$ | $0.0232$ | $1$ | $5$ | 5.4 | $0$ | 0 | ✓ | $1$ | $0$ | $6.64845$ | Character $\chi_{5}(4, \cdot)$ | |
1-2e3-8.5-r0-0-0 | $0.0371$ | $0.0371$ | $1$ | $2^{3}$ | 8.5 | $0$ | 0 | ✓ | $1$ | $0$ | $4.89997$ | Character $\chi_{8}(5, \cdot)$ | |
1-12-12.11-r0-0-0 | $0.0557$ | $0.0557$ | $1$ | $2^{2} \cdot 3$ | 12.11 | $0$ | 0 | ✓ | $1$ | $0$ | $3.80462$ | Character $\chi_{12}(11, \cdot)$ | |
1-13-13.12-r0-0-0 | $0.0603$ | $0.0603$ | $1$ | $13$ | 13.12 | $0$ | 0 | ✓ | $1$ | $0$ | $3.11934$ | Character $\chi_{13}(12, \cdot)$ | |
1-17-17.16-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.16 | $0$ | 0 | ✓ | $1$ | $0$ | $3.72814$ | Character $\chi_{17}(16, \cdot)$ | |
1-21-21.20-r0-0-0 | $0.0975$ | $0.0975$ | $1$ | $3 \cdot 7$ | 21.20 | $0$ | 0 | ✓ | $1$ | $0$ | $2.31518$ | Character $\chi_{21}(20, \cdot)$ | |
1-24-24.11-r0-0-0 | $0.111$ | $0.111$ | $1$ | $2^{3} \cdot 3$ | 24.11 | $0$ | 0 | ✓ | $1$ | $0$ | $2.68865$ | Character $\chi_{24}(11, \cdot)$ | |
1-28-28.27-r0-0-0 | $0.130$ | $0.130$ | $1$ | $2^{2} \cdot 7$ | 28.27 | $0$ | 0 | ✓ | $1$ | $0$ | $2.77728$ | Character $\chi_{28}(27, \cdot)$ | |
1-29-29.28-r0-0-0 | $0.134$ | $0.134$ | $1$ | $29$ | 29.28 | $0$ | 0 | ✓ | $1$ | $0$ | $1.79380$ | Character $\chi_{29}(28, \cdot)$ | |
1-33-33.32-r0-0-0 | $0.153$ | $0.153$ | $1$ | $3 \cdot 11$ | 33.32 | $0$ | 0 | ✓ | $1$ | $0$ | $2.99695$ | Character $\chi_{33}(32, \cdot)$ | |
1-37-37.36-r0-0-0 | $0.171$ | $0.171$ | $1$ | $37$ | 37.36 | $0$ | 0 | ✓ | $1$ | $0$ | $2.05722$ | Character $\chi_{37}(36, \cdot)$ | |
1-40-40.29-r0-0-0 | $0.185$ | $0.185$ | $1$ | $2^{3} \cdot 5$ | 40.29 | $0$ | 0 | ✓ | $1$ | $0$ | $2.48821$ | Character $\chi_{40}(29, \cdot)$ | |
1-41-41.40-r0-0-0 | $0.190$ | $0.190$ | $1$ | $41$ | 41.40 | $0$ | 0 | ✓ | $1$ | $0$ | $2.47534$ | Character $\chi_{41}(40, \cdot)$ | |
1-44-44.43-r0-0-0 | $0.204$ | $0.204$ | $1$ | $2^{2} \cdot 11$ | 44.43 | $0$ | 0 | ✓ | $1$ | $0$ | $1.86993$ | Character $\chi_{44}(43, \cdot)$ | |
1-53-53.52-r0-0-0 | $0.246$ | $0.246$ | $1$ | $53$ | 53.52 | $0$ | 0 | ✓ | $1$ | $0$ | $1.28711$ | Character $\chi_{53}(52, \cdot)$ | |
1-56-56.27-r0-0-0 | $0.260$ | $0.260$ | $1$ | $2^{3} \cdot 7$ | 56.27 | $0$ | 0 | ✓ | $1$ | $0$ | $1.70166$ | Character $\chi_{56}(27, \cdot)$ | |
1-57-57.56-r0-0-0 | $0.264$ | $0.264$ | $1$ | $3 \cdot 19$ | 57.56 | $0$ | 0 | ✓ | $1$ | $0$ | $2.40313$ | Character $\chi_{57}(56, \cdot)$ | |
1-60-60.59-r0-0-0 | $0.278$ | $0.278$ | $1$ | $2^{2} \cdot 3 \cdot 5$ | 60.59 | $0$ | 0 | ✓ | $1$ | $0$ | $1.88060$ | Character $\chi_{60}(59, \cdot)$ | |
1-61-61.60-r0-0-0 | $0.283$ | $0.283$ | $1$ | $61$ | 61.60 | $0$ | 0 | ✓ | $1$ | $0$ | $1.94459$ | Character $\chi_{61}(60, \cdot)$ | |
1-65-65.64-r0-0-0 | $0.301$ | $0.301$ | $1$ | $5 \cdot 13$ | 65.64 | $0$ | 0 | ✓ | $1$ | $0$ | $2.04804$ | Character $\chi_{65}(64, \cdot)$ | |
1-69-69.68-r0-0-0 | $0.320$ | $0.320$ | $1$ | $3 \cdot 23$ | 69.68 | $0$ | 0 | ✓ | $1$ | $0$ | $1.57186$ | Character $\chi_{69}(68, \cdot)$ | |
1-3-3.2-r1-0-0 | $0.322$ | $0.322$ | $1$ | $3$ | 3.2 | $1$ | 0 | ✓ | $1$ | $0$ | $8.03973$ | Character $\chi_{3}(2, \cdot)$ | |
1-73-73.72-r0-0-0 | $0.339$ | $0.339$ | $1$ | $73$ | 73.72 | $0$ | 0 | ✓ | $1$ | $0$ | $2.59808$ | Character $\chi_{73}(72, \cdot)$ | |
1-76-76.75-r0-0-0 | $0.352$ | $0.352$ | $1$ | $2^{2} \cdot 19$ | 76.75 | $0$ | 0 | ✓ | $1$ | $0$ | $2.14993$ | Character $\chi_{76}(75, \cdot)$ | |
1-77-77.76-r0-0-0 | $0.357$ | $0.357$ | $1$ | $7 \cdot 11$ | 77.76 | $0$ | 0 | ✓ | $1$ | $0$ | $1.07518$ | Character $\chi_{77}(76, \cdot)$ | |
1-85-85.84-r0-0-0 | $0.394$ | $0.394$ | $1$ | $5 \cdot 17$ | 85.84 | $0$ | 0 | ✓ | $1$ | $0$ | $1.75250$ | Character $\chi_{85}(84, \cdot)$ | |
1-88-88.43-r0-0-0 | $0.408$ | $0.408$ | $1$ | $2^{3} \cdot 11$ | 88.43 | $0$ | 0 | ✓ | $1$ | $0$ | $1.86469$ | Character $\chi_{88}(43, \cdot)$ | |
1-89-89.88-r0-0-0 | $0.413$ | $0.413$ | $1$ | $89$ | 89.88 | $0$ | 0 | ✓ | $1$ | $0$ | $1.90110$ | Character $\chi_{89}(88, \cdot)$ | |
1-92-92.91-r0-0-0 | $0.427$ | $0.427$ | $1$ | $2^{2} \cdot 23$ | 92.91 | $0$ | 0 | ✓ | $1$ | $0$ | $1.28645$ | Character $\chi_{92}(91, \cdot)$ | |
1-2e2-4.3-r1-0-0 | $0.429$ | $0.429$ | $1$ | $2^{2}$ | 4.3 | $1$ | 0 | ✓ | $1$ | $0$ | $6.02094$ | Character $\chi_{4}(3, \cdot)$ | |
1-93-93.92-r0-0-0 | $0.431$ | $0.431$ | $1$ | $3 \cdot 31$ | 93.92 | $0$ | 0 | ✓ | $1$ | $0$ | $1.30110$ | Character $\chi_{93}(92, \cdot)$ | |
1-97-97.96-r0-0-0 | $0.450$ | $0.450$ | $1$ | $97$ | 97.96 | $0$ | 0 | ✓ | $1$ | $0$ | $2.31457$ | Character $\chi_{97}(96, \cdot)$ | |
1-101-101.100-r0-0-0 | $0.469$ | $0.469$ | $1$ | $101$ | 101.100 | $0$ | 0 | ✓ | $1$ | $0$ | $1.16426$ | Character $\chi_{101}(100, \cdot)$ | |
1-104-104.77-r0-0-0 | $0.482$ | $0.482$ | $1$ | $2^{3} \cdot 13$ | 104.77 | $0$ | 0 | ✓ | $1$ | $0$ | $1.37058$ | Character $\chi_{104}(77, \cdot)$ | |
1-105-105.104-r0-0-0 | $0.487$ | $0.487$ | $1$ | $3 \cdot 5 \cdot 7$ | 105.104 | $0$ | 0 | ✓ | $1$ | $0$ | $2.04884$ | Character $\chi_{105}(104, \cdot)$ | |
1-109-109.108-r0-0-0 | $0.506$ | $0.506$ | $1$ | $109$ | 109.108 | $0$ | 0 | ✓ | $1$ | $0$ | $1.87221$ | Character $\chi_{109}(108, \cdot)$ | |
1-113-113.112-r0-0-0 | $0.524$ | $0.524$ | $1$ | $113$ | 113.112 | $0$ | 0 | ✓ | $1$ | $0$ | $1.62199$ | Character $\chi_{113}(112, \cdot)$ | |
1-120-120.59-r0-0-0 | $0.557$ | $0.557$ | $1$ | $2^{3} \cdot 3 \cdot 5$ | 120.59 | $0$ | 0 | ✓ | $1$ | $0$ | $1.53751$ | Character $\chi_{120}(59, \cdot)$ | |
1-124-124.123-r0-0-0 | $0.575$ | $0.575$ | $1$ | $2^{2} \cdot 31$ | 124.123 | $0$ | 0 | ✓ | $1$ | $0$ | $1.88831$ | Character $\chi_{124}(123, \cdot)$ | |
1-129-129.128-r0-0-0 | $0.599$ | $0.599$ | $1$ | $3 \cdot 43$ | 129.128 | $0$ | 0 | ✓ | $1$ | $0$ | $2.03656$ | Character $\chi_{129}(128, \cdot)$ | |
1-133-133.132-r0-0-0 | $0.617$ | $0.617$ | $1$ | $7 \cdot 19$ | 133.132 | $0$ | 0 | ✓ | $1$ | $0$ | $1.39047$ | Character $\chi_{133}(132, \cdot)$ | |
1-136-136.101-r0-0-0 | $0.631$ | $0.631$ | $1$ | $2^{3} \cdot 17$ | 136.101 | $0$ | 0 | ✓ | $1$ | $0$ | $1.84328$ | Character $\chi_{136}(101, \cdot)$ | |
1-137-137.136-r0-0-0 | $0.636$ | $0.636$ | $1$ | $137$ | 137.136 | $0$ | 0 | ✓ | $1$ | $0$ | $1.52794$ | Character $\chi_{137}(136, \cdot)$ | |
1-140-140.139-r0-0-0 | $0.650$ | $0.650$ | $1$ | $2^{2} \cdot 5 \cdot 7$ | 140.139 | $0$ | 0 | ✓ | $1$ | $0$ | $1.17436$ | Character $\chi_{140}(139, \cdot)$ | |
1-141-141.140-r0-0-0 | $0.654$ | $0.654$ | $1$ | $3 \cdot 47$ | 141.140 | $0$ | 0 | ✓ | $1$ | $0$ | $1.47969$ | Character $\chi_{141}(140, \cdot)$ | |
1-145-145.144-r0-0-0 | $0.673$ | $0.673$ | $1$ | $5 \cdot 29$ | 145.144 | $0$ | 0 | ✓ | $1$ | $0$ | $2.20800$ | Character $\chi_{145}(144, \cdot)$ | |
1-149-149.148-r0-0-0 | $0.691$ | $0.691$ | $1$ | $149$ | 149.148 | $0$ | 0 | ✓ | $1$ | $0$ | $1.19943$ | Character $\chi_{149}(148, \cdot)$ | |
1-152-152.75-r0-0-0 | $0.705$ | $0.705$ | $1$ | $2^{3} \cdot 19$ | 152.75 | $0$ | 0 | ✓ | $1$ | $0$ | $0.982619$ | Character $\chi_{152}(75, \cdot)$ | |
1-156-156.155-r0-0-0 | $0.724$ | $0.724$ | $1$ | $2^{2} \cdot 3 \cdot 13$ | 156.155 | $0$ | 0 | ✓ | $1$ | $0$ | $1.58858$ | Character $\chi_{156}(155, \cdot)$ |