| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 171.a |
\(\chi_{171}(1, \cdot)\)
|
$171$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 171.b |
\(\chi_{171}(134, \cdot)\)
|
$171$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 171.c |
\(\chi_{171}(37, \cdot)\)
|
$171$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 171.d |
\(\chi_{171}(170, \cdot)\)
|
$171$ |
$57$ |
$2$ |
\(\Q(\sqrt{57}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 171.e |
\(\chi_{171}(58, \cdot)\)$,$ \(\chi_{171}(115, \cdot)\)
|
$171$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 171.f |
\(\chi_{171}(64, \cdot)\)$,$ \(\chi_{171}(163, \cdot)\)
|
$171$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 171.g |
\(\chi_{171}(106, \cdot)\)$,$ \(\chi_{171}(121, \cdot)\)
|
$171$ |
$171$ |
$3$ |
3.3.29241.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 171.h |
\(\chi_{171}(7, \cdot)\)$,$ \(\chi_{171}(49, \cdot)\)
|
$171$ |
$171$ |
$3$ |
3.3.29241.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 171.i |
\(\chi_{171}(88, \cdot)\)$,$ \(\chi_{171}(103, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.0.16245685539.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 171.j |
\(\chi_{171}(68, \cdot)\)$,$ \(\chi_{171}(83, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.0.2565108243.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 171.k |
\(\chi_{171}(50, \cdot)\)$,$ \(\chi_{171}(65, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.6.48737056617.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 171.l |
\(\chi_{171}(56, \cdot)\)$,$ \(\chi_{171}(113, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.6.135005697.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 171.m |
\(\chi_{171}(8, \cdot)\)$,$ \(\chi_{171}(107, \cdot)\)
|
$171$ |
$57$ |
$6$ |
6.6.66854673.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 171.n |
\(\chi_{171}(11, \cdot)\)$,$ \(\chi_{171}(140, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.0.2565108243.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 171.o |
\(\chi_{171}(94, \cdot)\)$,$ \(\chi_{171}(151, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.0.45001899.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 171.p |
\(\chi_{171}(46, \cdot)\)$,$ \(\chi_{171}(145, \cdot)\)
|
$171$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 171.q |
\(\chi_{171}(20, \cdot)\)$,$ \(\chi_{171}(77, \cdot)\)
|
$171$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 171.r |
\(\chi_{171}(26, \cdot)\)$,$ \(\chi_{171}(125, \cdot)\)
|
$171$ |
$57$ |
$6$ |
6.0.3518667.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 171.s |
\(\chi_{171}(31, \cdot)\)$,$ \(\chi_{171}(160, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.0.16245685539.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 171.t |
\(\chi_{171}(122, \cdot)\)$,$ \(\chi_{171}(164, \cdot)\)
|
$171$ |
$171$ |
$6$ |
6.6.48737056617.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 171.u |
\(\chi_{171}(28, \cdot)\)$, \cdots ,$\(\chi_{171}(118, \cdot)\)
|
$171$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 171.v |
\(\chi_{171}(25, \cdot)\)$, \cdots ,$\(\chi_{171}(157, \cdot)\)
|
$171$ |
$171$ |
$9$ |
9.9.9025761726072081.1 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 171.w |
\(\chi_{171}(4, \cdot)\)$, \cdots ,$\(\chi_{171}(169, \cdot)\)
|
$171$ |
$171$ |
$9$ |
9.9.9025761726072081.2 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 171.x |
\(\chi_{171}(14, \cdot)\)$, \cdots ,$\(\chi_{171}(146, \cdot)\)
|
$171$ |
$171$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 171.y |
\(\chi_{171}(53, \cdot)\)$, \cdots ,$\(\chi_{171}(143, \cdot)\)
|
$171$ |
$57$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 171.z |
\(\chi_{171}(5, \cdot)\)$, \cdots ,$\(\chi_{171}(149, \cdot)\)
|
$171$ |
$171$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 171.ba |
\(\chi_{171}(10, \cdot)\)$, \cdots ,$\(\chi_{171}(154, \cdot)\)
|
$171$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 171.bb |
\(\chi_{171}(17, \cdot)\)$, \cdots ,$\(\chi_{171}(161, \cdot)\)
|
$171$ |
$57$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 171.bc |
\(\chi_{171}(22, \cdot)\)$, \cdots ,$\(\chi_{171}(166, \cdot)\)
|
$171$ |
$171$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 171.bd |
\(\chi_{171}(2, \cdot)\)$, \cdots ,$\(\chi_{171}(167, \cdot)\)
|
$171$ |
$171$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 171.be |
\(\chi_{171}(13, \cdot)\)$, \cdots ,$\(\chi_{171}(148, \cdot)\)
|
$171$ |
$171$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 171.bf |
\(\chi_{171}(23, \cdot)\)$, \cdots ,$\(\chi_{171}(158, \cdot)\)
|
$171$ |
$171$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
