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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1-1-1.1-r0-0-0 | $0.00464$ | $0.00464$ | $1$ | $1$ | 1.1 | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $14.1347$ | 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 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $6.64845$ | Character $\chi_{5}(4, \cdot)$ | |
| 1-7-7.2-r0-0-0 | $0.0325$ | $0.0325$ | $1$ | $7$ | 7.2 | $0$ | 0 | ✓ | ✓ | $-0.0732$ | $0$ | $4.35640$ | Character $\chi_{7}(2, \cdot)$ | |||
| 1-7-7.4-r0-0-0 | $0.0325$ | $0.0325$ | $1$ | $7$ | 7.4 | $0$ | 0 | ✓ | ✓ | $0.0732$ | $0$ | $6.20123$ | Character $\chi_{7}(4, \cdot)$ | |||
| 1-2e3-8.5-r0-0-0 | $0.0371$ | $0.0371$ | $1$ | $2^{3}$ | 8.5 | $0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $4.89997$ | Character $\chi_{8}(5, \cdot)$ | |
| 1-3e2-9.4-r0-0-0 | $0.0417$ | $0.0417$ | $1$ | $3^{2}$ | 9.4 | $0$ | 0 | ✓ | ✓ | $0.111$ | $0$ | $5.31957$ | Character $\chi_{9}(4, \cdot)$ | |||
| 1-3e2-9.7-r0-0-0 | $0.0417$ | $0.0417$ | $1$ | $3^{2}$ | 9.7 | $0$ | 0 | ✓ | ✓ | $-0.111$ | $0$ | $3.44409$ | Character $\chi_{9}(7, \cdot)$ | |||
| 1-11-11.3-r0-0-0 | $0.0510$ | $0.0510$ | $1$ | $11$ | 11.3 | $0$ | 0 | ✓ | ✓ | $-0.103$ | $0$ | $3.61004$ | Character $\chi_{11}(3, \cdot)$ | |||
| 1-11-11.4-r0-0-0 | $0.0510$ | $0.0510$ | $1$ | $11$ | 11.4 | $0$ | 0 | ✓ | ✓ | $0.103$ | $0$ | $5.13369$ | Character $\chi_{11}(4, \cdot)$ | |||
| 1-11-11.5-r0-0-0 | $0.0510$ | $0.0510$ | $1$ | $11$ | 11.5 | $0$ | 0 | ✓ | ✓ | $0.142$ | $0$ | $4.62935$ | Character $\chi_{11}(5, \cdot)$ | |||
| 1-11-11.9-r0-0-0 | $0.0510$ | $0.0510$ | $1$ | $11$ | 11.9 | $0$ | 0 | ✓ | ✓ | $-0.142$ | $0$ | $2.69600$ | Character $\chi_{11}(9, \cdot)$ | |||
| 1-12-12.11-r0-0-0 | $0.0557$ | $0.0557$ | $1$ | $2^{2} \cdot 3$ | 12.11 | $0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.80462$ | Character $\chi_{12}(11, \cdot)$ | |
| 1-13-13.10-r0-0-0 | $0.0603$ | $0.0603$ | $1$ | $13$ | 13.10 | $0$ | 0 | ✓ | ✓ | $-0.0853$ | $0$ | $3.66097$ | Character $\chi_{13}(10, \cdot)$ | |||
| 1-13-13.12-r0-0-0 | $0.0603$ | $0.0603$ | $1$ | $13$ | 13.12 | $0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.11934$ | Character $\chi_{13}(12, \cdot)$ | |
| 1-13-13.3-r0-0-0 | $0.0603$ | $0.0603$ | $1$ | $13$ | 13.3 | $0$ | 0 | ✓ | ✓ | $0.209$ | $0$ | $4.93859$ | Character $\chi_{13}(3, \cdot)$ | |||
| 1-13-13.4-r0-0-0 | $0.0603$ | $0.0603$ | $1$ | $13$ | 13.4 | $0$ | 0 | ✓ | ✓ | $0.0853$ | $0$ | $4.45485$ | Character $\chi_{13}(4, \cdot)$ | |||
| 1-13-13.9-r0-0-0 | $0.0603$ | $0.0603$ | $1$ | $13$ | 13.9 | $0$ | 0 | ✓ | ✓ | $-0.209$ | $0$ | $2.27313$ | Character $\chi_{13}(9, \cdot)$ | |||
| 1-15-15.2-r0-0-0 | $0.0696$ | $0.0696$ | $1$ | $3 \cdot 5$ | 15.2 | $0$ | 0 | ✓ | ✓ | $-0.161$ | $0$ | $2.73460$ | Character $\chi_{15}(2, \cdot)$ | |||
| 1-15-15.8-r0-0-0 | $0.0696$ | $0.0696$ | $1$ | $3 \cdot 5$ | 15.8 | $0$ | 0 | ✓ | ✓ | $0.161$ | $0$ | $4.40670$ | Character $\chi_{15}(8, \cdot)$ | |||
| 1-2e4-16.13-r0-0-0 | $0.0743$ | $0.0743$ | $1$ | $2^{4}$ | 16.13 | $0$ | 0 | ✓ | ✓ | $0.0625$ | $0$ | $3.77219$ | Character $\chi_{16}(13, \cdot)$ | |||
| 1-2e4-16.5-r0-0-0 | $0.0743$ | $0.0743$ | $1$ | $2^{4}$ | 16.5 | $0$ | 0 | ✓ | ✓ | $-0.0625$ | $0$ | $2.84244$ | Character $\chi_{16}(5, \cdot)$ | |||
| 1-17-17.13-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.13 | $0$ | 0 | ✓ | ✓ | $0.144$ | $0$ | $3.38764$ | Character $\chi_{17}(13, \cdot)$ | |||
| 1-17-17.15-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.15 | $0$ | 0 | ✓ | ✓ | $0.237$ | $0$ | $4.85147$ | Character $\chi_{17}(15, \cdot)$ | |||
| 1-17-17.16-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.16 | $0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $3.72814$ | Character $\chi_{17}(16, \cdot)$ | |
| 1-17-17.2-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.2 | $0$ | 0 | ✓ | ✓ | $0.117$ | $0$ | $3.73234$ | Character $\chi_{17}(2, \cdot)$ | |||
| 1-17-17.4-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.4 | $0$ | 0 | ✓ | ✓ | $-0.144$ | $0$ | $1.89456$ | Character $\chi_{17}(4, \cdot)$ | |||
| 1-17-17.8-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.8 | $0$ | 0 | ✓ | ✓ | $-0.237$ | $0$ | $2.12217$ | Character $\chi_{17}(8, \cdot)$ | |||
| 1-17-17.9-r0-0-0 | $0.0789$ | $0.0789$ | $1$ | $17$ | 17.9 | $0$ | 0 | ✓ | ✓ | $-0.117$ | $0$ | $3.03085$ | Character $\chi_{17}(9, \cdot)$ | |||
| 1-19-19.11-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.11 | $0$ | 0 | ✓ | ✓ | $-0.299$ | $0$ | $1.57320$ | Character $\chi_{19}(11, \cdot)$ | |||
| 1-19-19.16-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.16 | $0$ | 0 | ✓ | ✓ | $0.113$ | $0$ | $3.63715$ | Character $\chi_{19}(16, \cdot)$ | |||
| 1-19-19.17-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.17 | $0$ | 0 | ✓ | ✓ | $0.0530$ | $0$ | $2.87454$ | Character $\chi_{19}(17, \cdot)$ | |||
| 1-19-19.4-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.4 | $0$ | 0 | ✓ | ✓ | $0.132$ | $0$ | $4.27062$ | Character $\chi_{19}(4, \cdot)$ | |||
| 1-19-19.5-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.5 | $0$ | 0 | ✓ | ✓ | $-0.132$ | $0$ | $2.73327$ | Character $\chi_{19}(5, \cdot)$ | |||
| 1-19-19.6-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.6 | $0$ | 0 | ✓ | ✓ | $-0.113$ | $0$ | $3.09878$ | Character $\chi_{19}(6, \cdot)$ | |||
| 1-19-19.7-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.7 | $0$ | 0 | ✓ | ✓ | $0.299$ | $0$ | $4.40883$ | Character $\chi_{19}(7, \cdot)$ | |||
| 1-19-19.9-r0-0-0 | $0.0882$ | $0.0882$ | $1$ | $19$ | 19.9 | $0$ | 0 | ✓ | ✓ | $-0.0530$ | $0$ | $2.13818$ | Character $\chi_{19}(9, \cdot)$ | |||
| 1-20-20.3-r0-0-0 | $0.0928$ | $0.0928$ | $1$ | $2^{2} \cdot 5$ | 20.3 | $0$ | 0 | ✓ | ✓ | $-0.0881$ | $0$ | $2.43970$ | Character $\chi_{20}(3, \cdot)$ | |||
| 1-20-20.7-r0-0-0 | $0.0928$ | $0.0928$ | $1$ | $2^{2} \cdot 5$ | 20.7 | $0$ | 0 | ✓ | ✓ | $0.0881$ | $0$ | $3.53109$ | Character $\chi_{20}(7, \cdot)$ | |||
| 1-21-21.17-r0-0-0 | $0.0975$ | $0.0975$ | $1$ | $3 \cdot 7$ | 21.17 | $0$ | 0 | ✓ | ✓ | $-0.146$ | $0$ | $2.71366$ | Character $\chi_{21}(17, \cdot)$ | |||
| 1-21-21.20-r0-0-0 | $0.0975$ | $0.0975$ | $1$ | $3 \cdot 7$ | 21.20 | $0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $2.31518$ | Character $\chi_{21}(20, \cdot)$ | |
| 1-21-21.5-r0-0-0 | $0.0975$ | $0.0975$ | $1$ | $3 \cdot 7$ | 21.5 | $0$ | 0 | ✓ | ✓ | $0.146$ | $0$ | $3.93679$ | Character $\chi_{21}(5, \cdot)$ | |||
| 1-23-23.12-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.12 | $0$ | 0 | ✓ | ✓ | $-0.233$ | $0$ | $1.96977$ | Character $\chi_{23}(12, \cdot)$ | |||
| 1-23-23.13-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.13 | $0$ | 0 | ✓ | ✓ | $0.248$ | $0$ | $4.12168$ | Character $\chi_{23}(13, \cdot)$ | |||
| 1-23-23.16-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.16 | $0$ | 0 | ✓ | ✓ | $-0.248$ | $0$ | $2.04476$ | Character $\chi_{23}(16, \cdot)$ | |||
| 1-23-23.18-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.18 | $0$ | 0 | ✓ | ✓ | $0.0263$ | $0$ | $3.18006$ | Character $\chi_{23}(18, \cdot)$ | |||
| 1-23-23.2-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.2 | $0$ | 0 | ✓ | ✓ | $0.233$ | $0$ | $4.10757$ | Character $\chi_{23}(2, \cdot)$ | |||
| 1-23-23.3-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.3 | $0$ | 0 | ✓ | ✓ | $-0.187$ | $0$ | $1.27653$ | Character $\chi_{23}(3, \cdot)$ | |||
| 1-23-23.4-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.4 | $0$ | 0 | ✓ | ✓ | $0.0869$ | $0$ | $2.69506$ | Character $\chi_{23}(4, \cdot)$ | |||
| 1-23-23.6-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.6 | $0$ | 0 | ✓ | ✓ | $-0.0869$ | $0$ | $2.47039$ | Character $\chi_{23}(6, \cdot)$ | |||
| 1-23-23.8-r0-0-0 | $0.106$ | $0.106$ | $1$ | $23$ | 23.8 | $0$ | 0 | ✓ | ✓ | $0.187$ | $0$ | $3.01197$ | Character $\chi_{23}(8, \cdot)$ |