| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 247.a |
\(\chi_{247}(1, \cdot)\)
|
$247$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 247.b |
\(\chi_{247}(170, \cdot)\)
|
$247$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 247.c |
\(\chi_{247}(77, \cdot)\)
|
$247$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 247.d |
\(\chi_{247}(246, \cdot)\)
|
$247$ |
$247$ |
$2$ |
\(\Q(\sqrt{-247}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 247.e |
\(\chi_{247}(87, \cdot)\)$,$ \(\chi_{247}(159, \cdot)\)
|
$247$ |
$247$ |
$3$ |
3.3.61009.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 247.f |
\(\chi_{247}(144, \cdot)\)$,$ \(\chi_{247}(235, \cdot)\)
|
$247$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 247.g |
\(\chi_{247}(172, \cdot)\)$,$ \(\chi_{247}(191, \cdot)\)
|
$247$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 247.h |
\(\chi_{247}(68, \cdot)\)$,$ \(\chi_{247}(178, \cdot)\)
|
$247$ |
$247$ |
$3$ |
3.3.61009.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 247.i |
\(\chi_{247}(18, \cdot)\)$,$ \(\chi_{247}(151, \cdot)\)
|
$247$ |
$247$ |
$4$ |
4.4.793117.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 247.j |
\(\chi_{247}(96, \cdot)\)$,$ \(\chi_{247}(229, \cdot)\)
|
$247$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 247.k |
\(\chi_{247}(126, \cdot)\)$,$ \(\chi_{247}(198, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.70719863539.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.l |
\(\chi_{247}(49, \cdot)\)$,$ \(\chi_{247}(121, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.6.48387275053.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 247.m |
\(\chi_{247}(56, \cdot)\)$,$ \(\chi_{247}(75, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.2546698687.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.n |
\(\chi_{247}(12, \cdot)\)$,$ \(\chi_{247}(103, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.5439989503.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.o |
\(\chi_{247}(88, \cdot)\)$,$ \(\chi_{247}(160, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.919358226007.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.p |
\(\chi_{247}(134, \cdot)\)$,$ \(\chi_{247}(153, \cdot)\)
|
$247$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 247.q |
\(\chi_{247}(64, \cdot)\)$,$ \(\chi_{247}(220, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.6.286315237.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 247.r |
\(\chi_{247}(30, \cdot)\)$,$ \(\chi_{247}(140, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.6.48387275053.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 247.s |
\(\chi_{247}(107, \cdot)\)$,$ \(\chi_{247}(217, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.70719863539.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.t |
\(\chi_{247}(27, \cdot)\)$,$ \(\chi_{247}(183, \cdot)\)
|
$247$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 247.u |
\(\chi_{247}(94, \cdot)\)$,$ \(\chi_{247}(113, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.195899899.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.v |
\(\chi_{247}(69, \cdot)\)$,$ \(\chi_{247}(179, \cdot)\)
|
$247$ |
$247$ |
$6$ |
6.0.919358226007.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 247.w |
\(\chi_{247}(35, \cdot)\)$, \cdots ,$\(\chi_{247}(237, \cdot)\)
|
$247$ |
$247$ |
$9$ |
9.9.81976414938366169.2 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 247.x |
\(\chi_{247}(66, \cdot)\)$, \cdots ,$\(\chi_{247}(196, \cdot)\)
|
$247$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 247.y |
\(\chi_{247}(9, \cdot)\)$, \cdots ,$\(\chi_{247}(139, \cdot)\)
|
$247$ |
$247$ |
$9$ |
9.9.81976414938366169.1 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 247.z |
\(\chi_{247}(141, \cdot)\)$, \cdots ,$\(\chi_{247}(240, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.12.10987854120447595185132637.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 247.ba |
\(\chi_{247}(102, \cdot)\)$, \cdots ,$\(\chi_{247}(201, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.0.30437269031710789986517.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 247.bb |
\(\chi_{247}(83, \cdot)\)$, \cdots ,$\(\chi_{247}(239, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.0.180102183619590473293.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 247.bc |
\(\chi_{247}(20, \cdot)\)$, \cdots ,$\(\chi_{247}(210, \cdot)\)
|
$247$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 247.bd |
\(\chi_{247}(37, \cdot)\)$, \cdots ,$\(\chi_{247}(227, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.12.84313764630777811597.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 247.be |
\(\chi_{247}(8, \cdot)\)$, \cdots ,$\(\chi_{247}(164, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.12.65016888286672160858773.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 247.bf |
\(\chi_{247}(46, \cdot)\)$, \cdots ,$\(\chi_{247}(145, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.12.10987854120447595185132637.2 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 247.bg |
\(\chi_{247}(7, \cdot)\)$, \cdots ,$\(\chi_{247}(106, \cdot)\)
|
$247$ |
$247$ |
$12$ |
12.0.30437269031710789986517.2 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 247.bh |
\(\chi_{247}(108, \cdot)\)$, \cdots ,$\(\chi_{247}(238, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 247.bi |
\(\chi_{247}(4, \cdot)\)$, \cdots ,$\(\chi_{247}(244, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 247.bj |
\(\chi_{247}(22, \cdot)\)$, \cdots ,$\(\chi_{247}(230, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 247.bk |
\(\chi_{247}(14, \cdot)\)$, \cdots ,$\(\chi_{247}(222, \cdot)\)
|
$247$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 247.bl |
\(\chi_{247}(51, \cdot)\)$, \cdots ,$\(\chi_{247}(181, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 247.bm |
\(\chi_{247}(10, \cdot)\)$, \cdots ,$\(\chi_{247}(212, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 247.bn |
\(\chi_{247}(25, \cdot)\)$, \cdots ,$\(\chi_{247}(233, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 247.bo |
\(\chi_{247}(17, \cdot)\)$, \cdots ,$\(\chi_{247}(225, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 247.bp |
\(\chi_{247}(3, \cdot)\)$, \cdots ,$\(\chi_{247}(243, \cdot)\)
|
$247$ |
$247$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 247.bq |
\(\chi_{247}(15, \cdot)\)$, \cdots ,$\(\chi_{247}(219, \cdot)\)
|
$247$ |
$247$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 247.br |
\(\chi_{247}(2, \cdot)\)$, \cdots ,$\(\chi_{247}(241, \cdot)\)
|
$247$ |
$247$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 247.bs |
\(\chi_{247}(21, \cdot)\)$, \cdots ,$\(\chi_{247}(242, \cdot)\)
|
$247$ |
$247$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 247.bt |
\(\chi_{247}(28, \cdot)\)$, \cdots ,$\(\chi_{247}(232, \cdot)\)
|
$247$ |
$247$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
✓ |
✓ |
| 247.bu |
\(\chi_{247}(6, \cdot)\)$, \cdots ,$\(\chi_{247}(245, \cdot)\)
|
$247$ |
$247$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
✓ |
✓ |
| 247.bv |
\(\chi_{247}(5, \cdot)\)$, \cdots ,$\(\chi_{247}(226, \cdot)\)
|
$247$ |
$247$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
✓ |
✓ |
