| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 703.a |
\(\chi_{703}(1, \cdot)\)
|
$703$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 703.b |
\(\chi_{703}(75, \cdot)\)
|
$703$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 703.c |
\(\chi_{703}(628, \cdot)\)
|
$703$ |
$37$ |
$2$ |
\(\Q(\sqrt{37}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 703.d |
\(\chi_{703}(702, \cdot)\)
|
$703$ |
$703$ |
$2$ |
\(\Q(\sqrt{-703}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 703.e |
\(\chi_{703}(334, \cdot)\)$,$ \(\chi_{703}(482, \cdot)\)
|
$703$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 703.f |
\(\chi_{703}(248, \cdot)\)$,$ \(\chi_{703}(343, \cdot)\)
|
$703$ |
$37$ |
$3$ |
3.3.1369.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 703.g |
\(\chi_{703}(26, \cdot)\)$,$ \(\chi_{703}(676, \cdot)\)
|
$703$ |
$703$ |
$3$ |
3.3.494209.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 703.h |
\(\chi_{703}(121, \cdot)\)$,$ \(\chi_{703}(581, \cdot)\)
|
$703$ |
$703$ |
$3$ |
3.3.494209.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 703.i |
\(\chi_{703}(191, \cdot)\)$,$ \(\chi_{703}(438, \cdot)\)
|
$703$ |
$37$ |
$4$ |
4.0.50653.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 703.j |
\(\chi_{703}(265, \cdot)\)$,$ \(\chi_{703}(512, \cdot)\)
|
$703$ |
$703$ |
$4$ |
4.4.18285733.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 703.k |
\(\chi_{703}(11, \cdot)\)$,$ \(\chi_{703}(64, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.6.9036973820197.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 703.l |
\(\chi_{703}(639, \cdot)\)$,$ \(\chi_{703}(692, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.4640608177939.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.m |
\(\chi_{703}(27, \cdot)\)$,$ \(\chi_{703}(677, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.171702502583743.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.n |
\(\chi_{703}(360, \cdot)\)$,$ \(\chi_{703}(455, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.475630201063.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.o |
\(\chi_{703}(221, \cdot)\)$,$ \(\chi_{703}(369, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.125421842647.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.p |
\(\chi_{703}(84, \cdot)\)$,$ \(\chi_{703}(544, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.4640608177939.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.q |
\(\chi_{703}(286, \cdot)\)$,$ \(\chi_{703}(381, \cdot)\)
|
$703$ |
$37$ |
$6$ |
6.6.69343957.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 703.r |
\(\chi_{703}(258, \cdot)\)$,$ \(\chi_{703}(406, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.6.6601149613.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 703.s |
\(\chi_{703}(297, \cdot)\)$,$ \(\chi_{703}(445, \cdot)\)
|
$703$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 703.t |
\(\chi_{703}(322, \cdot)\)$,$ \(\chi_{703}(417, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.12854870299.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.u |
\(\chi_{703}(159, \cdot)\)$,$ \(\chi_{703}(619, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.6.9036973820197.3 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 703.v |
\(\chi_{703}(122, \cdot)\)$,$ \(\chi_{703}(582, \cdot)\)
|
$703$ |
$703$ |
$6$ |
6.0.171702502583743.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 703.w |
\(\chi_{703}(16, \cdot)\)$, \cdots ,$\(\chi_{703}(530, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.59654416235884558133761.2 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.x |
\(\chi_{703}(271, \cdot)\)$, \cdots ,$\(\chi_{703}(682, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.59654416235884558133761.3 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.y |
\(\chi_{703}(120, \cdot)\)$, \cdots ,$\(\chi_{703}(662, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.59654416235884558133761.4 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.z |
\(\chi_{703}(9, \cdot)\)$, \cdots ,$\(\chi_{703}(700, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.59654416235884558133761.5 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.ba |
\(\chi_{703}(83, \cdot)\)$, \cdots ,$\(\chi_{703}(562, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.165247690404112349401.2 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bb |
\(\chi_{703}(7, \cdot)\)$, \cdots ,$\(\chi_{703}(638, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.165247690404112349401.1 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bc |
\(\chi_{703}(112, \cdot)\)$, \cdots ,$\(\chi_{703}(593, \cdot)\)
|
$703$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 703.bd |
\(\chi_{703}(63, \cdot)\)$, \cdots ,$\(\chi_{703}(655, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.43575176213210049769.1 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.be |
\(\chi_{703}(47, \cdot)\)$, \cdots ,$\(\chi_{703}(396, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.43575176213210049769.2 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bf |
\(\chi_{703}(229, \cdot)\)$, \cdots ,$\(\chi_{703}(571, \cdot)\)
|
$703$ |
$37$ |
$9$ |
9.9.3512479453921.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 703.bg |
\(\chi_{703}(123, \cdot)\)$, \cdots ,$\(\chi_{703}(663, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.59654416235884558133761.6 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bh |
\(\chi_{703}(118, \cdot)\)$, \cdots ,$\(\chi_{703}(567, \cdot)\)
|
$703$ |
$703$ |
$9$ |
9.9.59654416235884558133761.1 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bi |
\(\chi_{703}(45, \cdot)\)$, \cdots ,$\(\chi_{703}(467, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.0.3021675145596260523149395933.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 703.bj |
\(\chi_{703}(8, \cdot)\)$, \cdots ,$\(\chi_{703}(430, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.12.1090824727560250048856931931813.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 703.bk |
\(\chi_{703}(208, \cdot)\)$, \cdots ,$\(\chi_{703}(569, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.12.8370291262039502834208853.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 703.bl |
\(\chi_{703}(31, \cdot)\)$, \cdots ,$\(\chi_{703}(635, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.12.796804037662710042992645677.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 703.bm |
\(\chi_{703}(273, \cdot)\)$, \cdots ,$\(\chi_{703}(695, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.0.3021675145596260523149395933.2 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 703.bn |
\(\chi_{703}(134, \cdot)\)$, \cdots ,$\(\chi_{703}(495, \cdot)\)
|
$703$ |
$37$ |
$12$ |
12.0.177917621779460413.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 703.bo |
\(\chi_{703}(68, \cdot)\)$, \cdots ,$\(\chi_{703}(672, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.0.2207213400727728650949157.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 703.bp |
\(\chi_{703}(236, \cdot)\)$, \cdots ,$\(\chi_{703}(658, \cdot)\)
|
$703$ |
$703$ |
$12$ |
12.12.1090824727560250048856931931813.2 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 703.bq |
\(\chi_{703}(90, \cdot)\)$, \cdots ,$\(\chi_{703}(414, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 703.br |
\(\chi_{703}(289, \cdot)\)$, \cdots ,$\(\chi_{703}(613, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bs |
\(\chi_{703}(173, \cdot)\)$, \cdots ,$\(\chi_{703}(687, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 703.bt |
\(\chi_{703}(21, \cdot)\)$, \cdots ,$\(\chi_{703}(432, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 703.bu |
\(\chi_{703}(40, \cdot)\)$, \cdots ,$\(\chi_{703}(580, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 703.bv |
\(\chi_{703}(33, \cdot)\)$, \cdots ,$\(\chi_{703}(515, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 703.bw |
\(\chi_{703}(25, \cdot)\)$, \cdots ,$\(\chi_{703}(650, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 703.bx |
\(\chi_{703}(99, \cdot)\)$, \cdots ,$\(\chi_{703}(632, \cdot)\)
|
$703$ |
$703$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
