| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1421.a |
\(\chi_{1421}(1, \cdot)\)
|
$1421$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1421.b |
\(\chi_{1421}(1275, \cdot)\)
|
$1421$ |
$29$ |
$2$ |
\(\Q(\sqrt{29}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1421.c |
\(\chi_{1421}(1420, \cdot)\)
|
$1421$ |
$203$ |
$2$ |
\(\Q(\sqrt{-203}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1421.d |
\(\chi_{1421}(146, \cdot)\)
|
$1421$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1421.e |
\(\chi_{1421}(30, \cdot)\)$,$ \(\chi_{1421}(900, \cdot)\)
|
$1421$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1421.f |
\(\chi_{1421}(99, \cdot)\)$,$ \(\chi_{1421}(1177, \cdot)\)
|
$1421$ |
$29$ |
$4$ |
\(\Q(\sqrt{-58 +10 \sqrt{29}})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1421.g |
\(\chi_{1421}(244, \cdot)\)$,$ \(\chi_{1421}(1322, \cdot)\)
|
$1421$ |
$203$ |
$4$ |
\(\Q(\sqrt{406 -70 \sqrt{29}})\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1421.h |
\(\chi_{1421}(117, \cdot)\)$,$ \(\chi_{1421}(668, \cdot)\)
|
$1421$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1421.i |
\(\chi_{1421}(521, \cdot)\)$,$ \(\chi_{1421}(1391, \cdot)\)
|
$1421$ |
$203$ |
$6$ |
6.0.409905923.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1421.j |
\(\chi_{1421}(753, \cdot)\)$,$ \(\chi_{1421}(1304, \cdot)\)
|
$1421$ |
$203$ |
$6$ |
6.6.58557989.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1421.k |
\(\chi_{1421}(239, \cdot)\)$, \cdots ,$\(\chi_{1421}(806, \cdot)\)
|
$1421$ |
$1421$ |
$7$ |
7.7.8233120419813614521.4 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.l |
\(\chi_{1421}(36, \cdot)\)$, \cdots ,$\(\chi_{1421}(1415, \cdot)\)
|
$1421$ |
$1421$ |
$7$ |
7.7.8233120419813614521.6 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.m |
\(\chi_{1421}(190, \cdot)\)$, \cdots ,$\(\chi_{1421}(1254, \cdot)\)
|
$1421$ |
$1421$ |
$7$ |
7.7.8233120419813614521.5 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.n |
\(\chi_{1421}(204, \cdot)\)$, \cdots ,$\(\chi_{1421}(1219, \cdot)\)
|
$1421$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1421.o |
\(\chi_{1421}(197, \cdot)\)$, \cdots ,$\(\chi_{1421}(981, \cdot)\)
|
$1421$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1421.p |
\(\chi_{1421}(484, \cdot)\)$, \cdots ,$\(\chi_{1421}(1387, \cdot)\)
|
$1421$ |
$1421$ |
$7$ |
7.7.8233120419813614521.2 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.q |
\(\chi_{1421}(141, \cdot)\)$, \cdots ,$\(\chi_{1421}(1408, \cdot)\)
|
$1421$ |
$1421$ |
$7$ |
7.7.8233120419813614521.3 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.r |
\(\chi_{1421}(78, \cdot)\)$, \cdots ,$\(\chi_{1421}(1359, \cdot)\)
|
$1421$ |
$1421$ |
$7$ |
7.7.8233120419813614521.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.s |
\(\chi_{1421}(215, \cdot)\)$, \cdots ,$\(\chi_{1421}(1293, \cdot)\)
|
$1421$ |
$203$ |
$12$ |
12.12.4097909671812943766381.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1421.t |
\(\chi_{1421}(128, \cdot)\)$, \cdots ,$\(\chi_{1421}(1206, \cdot)\)
|
$1421$ |
$203$ |
$12$ |
12.0.83630809628835587069.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1421.u |
\(\chi_{1421}(62, \cdot)\)$, \cdots ,$\(\chi_{1421}(1343, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.v |
\(\chi_{1421}(71, \cdot)\)$, \cdots ,$\(\chi_{1421}(1401, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.w |
\(\chi_{1421}(384, \cdot)\)$, \cdots ,$\(\chi_{1421}(951, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.x |
\(\chi_{1421}(335, \cdot)\)$, \cdots ,$\(\chi_{1421}(1399, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.y |
\(\chi_{1421}(342, \cdot)\)$, \cdots ,$\(\chi_{1421}(1126, \cdot)\)
|
$1421$ |
$203$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1421.z |
\(\chi_{1421}(111, \cdot)\)$, \cdots ,$\(\chi_{1421}(1357, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.ba |
\(\chi_{1421}(132, \cdot)\)$, \cdots ,$\(\chi_{1421}(1238, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bb |
\(\chi_{1421}(83, \cdot)\)$, \cdots ,$\(\chi_{1421}(1147, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bc |
\(\chi_{1421}(349, \cdot)\)$, \cdots ,$\(\chi_{1421}(1364, \cdot)\)
|
$1421$ |
$49$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1421.bd |
\(\chi_{1421}(470, \cdot)\)$, \cdots ,$\(\chi_{1421}(1037, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.be |
\(\chi_{1421}(34, \cdot)\)$, \cdots ,$\(\chi_{1421}(937, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bf |
\(\chi_{1421}(202, \cdot)\)$, \cdots ,$\(\chi_{1421}(1217, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bg |
\(\chi_{1421}(167, \cdot)\)$, \cdots ,$\(\chi_{1421}(1231, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bh |
\(\chi_{1421}(615, \cdot)\)$, \cdots ,$\(\chi_{1421}(1182, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bi |
\(\chi_{1421}(6, \cdot)\)$, \cdots ,$\(\chi_{1421}(1385, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bj |
\(\chi_{1421}(440, \cdot)\)$, \cdots ,$\(\chi_{1421}(1224, \cdot)\)
|
$1421$ |
$203$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1421.bk |
\(\chi_{1421}(295, \cdot)\)$, \cdots ,$\(\chi_{1421}(1079, \cdot)\)
|
$1421$ |
$29$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1421.bl |
\(\chi_{1421}(57, \cdot)\)$, \cdots ,$\(\chi_{1421}(1072, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.bm |
\(\chi_{1421}(183, \cdot)\)$, \cdots ,$\(\chi_{1421}(1289, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.bn |
\(\chi_{1421}(274, \cdot)\)$, \cdots ,$\(\chi_{1421}(1338, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.bo |
\(\chi_{1421}(64, \cdot)\)$, \cdots ,$\(\chi_{1421}(1310, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.bp |
\(\chi_{1421}(22, \cdot)\)$, \cdots ,$\(\chi_{1421}(1086, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1421.bq |
\(\chi_{1421}(13, \cdot)\)$, \cdots ,$\(\chi_{1421}(1280, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.br |
\(\chi_{1421}(20, \cdot)\)$, \cdots ,$\(\chi_{1421}(1350, \cdot)\)
|
$1421$ |
$1421$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1421.bs |
\(\chi_{1421}(123, \cdot)\)$, \cdots ,$\(\chi_{1421}(1283, \cdot)\)
|
$1421$ |
$1421$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |
| 1421.bt |
\(\chi_{1421}(53, \cdot)\)$, \cdots ,$\(\chi_{1421}(1388, \cdot)\)
|
$1421$ |
$1421$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |
| 1421.bu |
\(\chi_{1421}(228, \cdot)\)$, \cdots ,$\(\chi_{1421}(935, \cdot)\)
|
$1421$ |
$1421$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |
| 1421.bv |
\(\chi_{1421}(165, \cdot)\)$, \cdots ,$\(\chi_{1421}(1341, \cdot)\)
|
$1421$ |
$203$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
|
| 1421.bw |
\(\chi_{1421}(88, \cdot)\)$, \cdots ,$\(\chi_{1421}(1306, \cdot)\)
|
$1421$ |
$49$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1421.bx |
\(\chi_{1421}(23, \cdot)\)$, \cdots ,$\(\chi_{1421}(1383, \cdot)\)
|
$1421$ |
$1421$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |
