| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1274.a |
\(\chi_{1274}(1, \cdot)\)
|
$1274$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1274.b |
\(\chi_{1274}(391, \cdot)\)
|
$1274$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1274.c |
\(\chi_{1274}(1273, \cdot)\)
|
$1274$ |
$91$ |
$2$ |
\(\Q(\sqrt{-91}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1274.d |
\(\chi_{1274}(883, \cdot)\)
|
$1274$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1274.e |
\(\chi_{1274}(165, \cdot)\)$,$ \(\chi_{1274}(471, \cdot)\)
|
$1274$ |
$91$ |
$3$ |
3.3.8281.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1274.f |
\(\chi_{1274}(79, \cdot)\)$,$ \(\chi_{1274}(1145, \cdot)\)
|
$1274$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1274.g |
\(\chi_{1274}(295, \cdot)\)$,$ \(\chi_{1274}(393, \cdot)\)
|
$1274$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1274.h |
\(\chi_{1274}(263, \cdot)\)$,$ \(\chi_{1274}(373, \cdot)\)
|
$1274$ |
$91$ |
$3$ |
3.3.8281.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1274.i |
\(\chi_{1274}(489, \cdot)\)$,$ \(\chi_{1274}(1175, \cdot)\)
|
$1274$ |
$91$ |
$4$ |
4.4.107653.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1274.j |
\(\chi_{1274}(99, \cdot)\)$,$ \(\chi_{1274}(785, \cdot)\)
|
$1274$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1274.k |
\(\chi_{1274}(901, \cdot)\)$,$ \(\chi_{1274}(1011, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.6240321451.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1274.l |
\(\chi_{1274}(607, \cdot)\)$,$ \(\chi_{1274}(913, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.480024727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1274.m |
\(\chi_{1274}(491, \cdot)\)$,$ \(\chi_{1274}(589, \cdot)\)
|
$1274$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1274.n |
\(\chi_{1274}(753, \cdot)\)$,$ \(\chi_{1274}(961, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.6.5274997.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1274.o |
\(\chi_{1274}(459, \cdot)\)$,$ \(\chi_{1274}(569, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.6.891474493.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1274.p |
\(\chi_{1274}(685, \cdot)\)$,$ \(\chi_{1274}(783, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.9796423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1274.q |
\(\chi_{1274}(129, \cdot)\)$,$ \(\chi_{1274}(1195, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.36924979.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1274.r |
\(\chi_{1274}(803, \cdot)\)$,$ \(\chi_{1274}(1109, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.6240321451.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1274.s |
\(\chi_{1274}(705, \cdot)\)$,$ \(\chi_{1274}(815, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.480024727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1274.t |
\(\chi_{1274}(313, \cdot)\)$,$ \(\chi_{1274}(521, \cdot)\)
|
$1274$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1274.u |
\(\chi_{1274}(881, \cdot)\)$,$ \(\chi_{1274}(979, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.0.127353499.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1274.v |
\(\chi_{1274}(361, \cdot)\)$,$ \(\chi_{1274}(667, \cdot)\)
|
$1274$ |
$91$ |
$6$ |
6.6.891474493.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1274.w |
\(\chi_{1274}(183, \cdot)\)$, \cdots ,$\(\chi_{1274}(1093, \cdot)\)
|
$1274$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1274.x |
\(\chi_{1274}(19, \cdot)\)$, \cdots ,$\(\chi_{1274}(1207, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.12.506240953553539690213.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1274.y |
\(\chi_{1274}(275, \cdot)\)$, \cdots ,$\(\chi_{1274}(1047, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.0.10331448031704891637.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1274.z |
\(\chi_{1274}(197, \cdot)\)$, \cdots ,$\(\chi_{1274}(1177, \cdot)\)
|
$1274$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 1274.ba |
\(\chi_{1274}(177, \cdot)\)$, \cdots ,$\(\chi_{1274}(1243, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.0.61132828589969773.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1274.bb |
\(\chi_{1274}(97, \cdot)\)$, \cdots ,$\(\chi_{1274}(1077, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.12.210845878198059013.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1274.bc |
\(\chi_{1274}(31, \cdot)\)$, \cdots ,$\(\chi_{1274}(1097, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.12.2995508600908518877.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1274.bd |
\(\chi_{1274}(227, \cdot)\)$, \cdots ,$\(\chi_{1274}(999, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.12.506240953553539690213.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1274.be |
\(\chi_{1274}(67, \cdot)\)$, \cdots ,$\(\chi_{1274}(1255, \cdot)\)
|
$1274$ |
$91$ |
$12$ |
12.0.10331448031704891637.2 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1274.bf |
\(\chi_{1274}(155, \cdot)\)$, \cdots ,$\(\chi_{1274}(1247, \cdot)\)
|
$1274$ |
$637$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1274.bg |
\(\chi_{1274}(181, \cdot)\)$, \cdots ,$\(\chi_{1274}(1091, \cdot)\)
|
$1274$ |
$637$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1274.bh |
\(\chi_{1274}(27, \cdot)\)$, \cdots ,$\(\chi_{1274}(1119, \cdot)\)
|
$1274$ |
$49$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1274.bi |
\(\chi_{1274}(9, \cdot)\)$, \cdots ,$\(\chi_{1274}(1173, \cdot)\)
|
$1274$ |
$637$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bj |
\(\chi_{1274}(29, \cdot)\)$, \cdots ,$\(\chi_{1274}(1205, \cdot)\)
|
$1274$ |
$637$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bk |
\(\chi_{1274}(53, \cdot)\)$, \cdots ,$\(\chi_{1274}(1171, \cdot)\)
|
$1274$ |
$49$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bl |
\(\chi_{1274}(107, \cdot)\)$, \cdots ,$\(\chi_{1274}(1257, \cdot)\)
|
$1274$ |
$637$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bm |
\(\chi_{1274}(57, \cdot)\)$, \cdots ,$\(\chi_{1274}(1191, \cdot)\)
|
$1274$ |
$637$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
odd |
|
|
✓ |
| 1274.bn |
\(\chi_{1274}(83, \cdot)\)$, \cdots ,$\(\chi_{1274}(1217, \cdot)\)
|
$1274$ |
$637$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
even |
|
|
✓ |
| 1274.bo |
\(\chi_{1274}(121, \cdot)\)$, \cdots ,$\(\chi_{1274}(1271, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bp |
\(\chi_{1274}(69, \cdot)\)$, \cdots ,$\(\chi_{1274}(1245, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1274.bq |
\(\chi_{1274}(131, \cdot)\)$, \cdots ,$\(\chi_{1274}(1249, \cdot)\)
|
$1274$ |
$49$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1274.br |
\(\chi_{1274}(87, \cdot)\)$, \cdots ,$\(\chi_{1274}(1251, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1274.bs |
\(\chi_{1274}(17, \cdot)\)$, \cdots ,$\(\chi_{1274}(1167, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1274.bt |
\(\chi_{1274}(103, \cdot)\)$, \cdots ,$\(\chi_{1274}(1221, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1274.bu |
\(\chi_{1274}(55, \cdot)\)$, \cdots ,$\(\chi_{1274}(1231, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1274.bv |
\(\chi_{1274}(23, \cdot)\)$, \cdots ,$\(\chi_{1274}(1187, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bw |
\(\chi_{1274}(25, \cdot)\)$, \cdots ,$\(\chi_{1274}(1143, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1274.bx |
\(\chi_{1274}(43, \cdot)\)$, \cdots ,$\(\chi_{1274}(1219, \cdot)\)
|
$1274$ |
$637$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
