| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1254.a |
\(\chi_{1254}(1, \cdot)\)
|
$1254$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1254.b |
\(\chi_{1254}(989, \cdot)\)
|
$1254$ |
$33$ |
$2$ |
\(\Q(\sqrt{33}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1254.c |
\(\chi_{1254}(1253, \cdot)\)
|
$1254$ |
$627$ |
$2$ |
\(\Q(\sqrt{-627}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1254.d |
\(\chi_{1254}(683, \cdot)\)
|
$1254$ |
$57$ |
$2$ |
\(\Q(\sqrt{57}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1254.e |
\(\chi_{1254}(419, \cdot)\)
|
$1254$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1254.f |
\(\chi_{1254}(571, \cdot)\)
|
$1254$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1254.g |
\(\chi_{1254}(835, \cdot)\)
|
$1254$ |
$209$ |
$2$ |
\(\Q(\sqrt{209}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1254.h |
\(\chi_{1254}(265, \cdot)\)
|
$1254$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1254.i |
\(\chi_{1254}(463, \cdot)\)$,$ \(\chi_{1254}(1189, \cdot)\)
|
$1254$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1254.j |
\(\chi_{1254}(115, \cdot)\)$, \cdots ,$\(\chi_{1254}(1027, \cdot)\)
|
$1254$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1254.k |
\(\chi_{1254}(373, \cdot)\)$,$ \(\chi_{1254}(901, \cdot)\)
|
$1254$ |
$209$ |
$6$ |
6.6.3295687769.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1254.l |
\(\chi_{1254}(505, \cdot)\)$,$ \(\chi_{1254}(1033, \cdot)\)
|
$1254$ |
$209$ |
$6$ |
6.0.173457251.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1254.m |
\(\chi_{1254}(331, \cdot)\)$,$ \(\chi_{1254}(1057, \cdot)\)
|
$1254$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1254.n |
\(\chi_{1254}(65, \cdot)\)$,$ \(\chi_{1254}(791, \cdot)\)
|
$1254$ |
$627$ |
$6$ |
6.0.88983569763.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1254.o |
\(\chi_{1254}(197, \cdot)\)$,$ \(\chi_{1254}(923, \cdot)\)
|
$1254$ |
$627$ |
$6$ |
6.6.4683345777.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1254.p |
\(\chi_{1254}(353, \cdot)\)$,$ \(\chi_{1254}(881, \cdot)\)
|
$1254$ |
$57$ |
$6$ |
6.0.3518667.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1254.q |
\(\chi_{1254}(221, \cdot)\)$,$ \(\chi_{1254}(749, \cdot)\)
|
$1254$ |
$57$ |
$6$ |
6.6.66854673.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1254.r |
\(\chi_{1254}(199, \cdot)\)$, \cdots ,$\(\chi_{1254}(859, \cdot)\)
|
$1254$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 1254.s |
\(\chi_{1254}(37, \cdot)\)$, \cdots ,$\(\chi_{1254}(949, \cdot)\)
|
$1254$ |
$209$ |
$10$ |
10.0.530773810885219.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1254.t |
\(\chi_{1254}(151, \cdot)\)$, \cdots ,$\(\chi_{1254}(1063, \cdot)\)
|
$1254$ |
$209$ |
$10$ |
10.10.5838511919737409.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1254.u |
\(\chi_{1254}(343, \cdot)\)$, \cdots ,$\(\chi_{1254}(1141, \cdot)\)
|
$1254$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1254.v |
\(\chi_{1254}(191, \cdot)\)$, \cdots ,$\(\chi_{1254}(1103, \cdot)\)
|
$1254$ |
$33$ |
$10$ |
10.0.52089208083.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1254.w |
\(\chi_{1254}(113, \cdot)\)$, \cdots ,$\(\chi_{1254}(911, \cdot)\)
|
$1254$ |
$627$ |
$10$ |
10.10.128978036045108217.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1254.x |
\(\chi_{1254}(227, \cdot)\)$, \cdots ,$\(\chi_{1254}(1139, \cdot)\)
|
$1254$ |
$627$ |
$10$ |
10.0.1418758396496190387.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1254.y |
\(\chi_{1254}(305, \cdot)\)$, \cdots ,$\(\chi_{1254}(1217, \cdot)\)
|
$1254$ |
$33$ |
$10$ |
\(\Q(\zeta_{33})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1254.z |
\(\chi_{1254}(49, \cdot)\)$, \cdots ,$\(\chi_{1254}(1147, \cdot)\)
|
$1254$ |
$209$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1254.ba |
\(\chi_{1254}(23, \cdot)\)$, \cdots ,$\(\chi_{1254}(1145, \cdot)\)
|
$1254$ |
$57$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 1254.bb |
\(\chi_{1254}(89, \cdot)\)$, \cdots ,$\(\chi_{1254}(1211, \cdot)\)
|
$1254$ |
$57$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 1254.bc |
\(\chi_{1254}(67, \cdot)\)$, \cdots ,$\(\chi_{1254}(1123, \cdot)\)
|
$1254$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 1254.bd |
\(\chi_{1254}(131, \cdot)\)$, \cdots ,$\(\chi_{1254}(1187, \cdot)\)
|
$1254$ |
$627$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 1254.be |
\(\chi_{1254}(43, \cdot)\)$, \cdots ,$\(\chi_{1254}(1165, \cdot)\)
|
$1254$ |
$209$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 1254.bf |
\(\chi_{1254}(109, \cdot)\)$, \cdots ,$\(\chi_{1254}(1231, \cdot)\)
|
$1254$ |
$209$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 1254.bg |
\(\chi_{1254}(395, \cdot)\)$, \cdots ,$\(\chi_{1254}(1055, \cdot)\)
|
$1254$ |
$627$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 1254.bh |
\(\chi_{1254}(179, \cdot)\)$, \cdots ,$\(\chi_{1254}(1247, \cdot)\)
|
$1254$ |
$627$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1254.bi |
\(\chi_{1254}(125, \cdot)\)$, \cdots ,$\(\chi_{1254}(1109, \cdot)\)
|
$1254$ |
$627$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1254.bj |
\(\chi_{1254}(83, \cdot)\)$, \cdots ,$\(\chi_{1254}(1223, \cdot)\)
|
$1254$ |
$627$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1254.bk |
\(\chi_{1254}(107, \cdot)\)$, \cdots ,$\(\chi_{1254}(1205, \cdot)\)
|
$1254$ |
$627$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1254.bl |
\(\chi_{1254}(31, \cdot)\)$, \cdots ,$\(\chi_{1254}(1171, \cdot)\)
|
$1254$ |
$209$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1254.bm |
\(\chi_{1254}(7, \cdot)\)$, \cdots ,$\(\chi_{1254}(1075, \cdot)\)
|
$1254$ |
$209$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1254.bn |
\(\chi_{1254}(145, \cdot)\)$, \cdots ,$\(\chi_{1254}(1129, \cdot)\)
|
$1254$ |
$209$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1254.bo |
\(\chi_{1254}(25, \cdot)\)$, \cdots ,$\(\chi_{1254}(1225, \cdot)\)
|
$1254$ |
$209$ |
$45$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
|
✓ |
| 1254.bp |
\(\chi_{1254}(13, \cdot)\)$, \cdots ,$\(\chi_{1254}(1249, \cdot)\)
|
$1254$ |
$209$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
|
✓ |
| 1254.bq |
\(\chi_{1254}(29, \cdot)\)$, \cdots ,$\(\chi_{1254}(1229, \cdot)\)
|
$1254$ |
$627$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
|
✓ |
| 1254.br |
\(\chi_{1254}(17, \cdot)\)$, \cdots ,$\(\chi_{1254}(1163, \cdot)\)
|
$1254$ |
$627$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
|
✓ |
| 1254.bs |
\(\chi_{1254}(61, \cdot)\)$, \cdots ,$\(\chi_{1254}(1201, \cdot)\)
|
$1254$ |
$209$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
|
✓ |
| 1254.bt |
\(\chi_{1254}(53, \cdot)\)$, \cdots ,$\(\chi_{1254}(1193, \cdot)\)
|
$1254$ |
$627$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
|
✓ |
| 1254.bu |
\(\chi_{1254}(91, \cdot)\)$, \cdots ,$\(\chi_{1254}(1237, \cdot)\)
|
$1254$ |
$209$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
|
✓ |
| 1254.bv |
\(\chi_{1254}(5, \cdot)\)$, \cdots ,$\(\chi_{1254}(1241, \cdot)\)
|
$1254$ |
$627$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
|
✓ |
