| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1001.i |
\(\chi_{1001}(144, \cdot)\)$,$ \(\chi_{1001}(716, \cdot)\)
|
$1001$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.j |
\(\chi_{1001}(386, \cdot)\)$,$ \(\chi_{1001}(848, \cdot)\)
|
$1001$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.k |
\(\chi_{1001}(100, \cdot)\)$,$ \(\chi_{1001}(991, \cdot)\)
|
$1001$ |
$91$ |
$3$ |
3.3.8281.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.l |
\(\chi_{1001}(529, \cdot)\)$,$ \(\chi_{1001}(562, \cdot)\)
|
$1001$ |
$91$ |
$3$ |
3.3.8281.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.m |
\(\chi_{1001}(307, \cdot)\)$,$ \(\chi_{1001}(538, \cdot)\)
|
$1001$ |
$1001$ |
$4$ |
4.0.13026013.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 1001.n |
\(\chi_{1001}(34, \cdot)\)$,$ \(\chi_{1001}(265, \cdot)\)
|
$1001$ |
$91$ |
$4$ |
4.4.107653.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1001.o |
\(\chi_{1001}(463, \cdot)\)$,$ \(\chi_{1001}(694, \cdot)\)
|
$1001$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1001.p |
\(\chi_{1001}(736, \cdot)\)$,$ \(\chi_{1001}(967, \cdot)\)
|
$1001$ |
$143$ |
$4$ |
4.4.265837.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1001.q |
\(\chi_{1001}(92, \cdot)\)$, \cdots ,$\(\chi_{1001}(911, \cdot)\)
|
$1001$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1001.r |
\(\chi_{1001}(802, \cdot)\)$,$ \(\chi_{1001}(835, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.0.91273273091.5 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 1001.s |
\(\chi_{1001}(23, \cdot)\)$,$ \(\chi_{1001}(914, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.6.891474493.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.t |
\(\chi_{1001}(166, \cdot)\)$,$ \(\chi_{1001}(199, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.6240321451.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.u |
\(\chi_{1001}(87, \cdot)\)$,$ \(\chi_{1001}(978, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.638912911637.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.v |
\(\chi_{1001}(10, \cdot)\)$,$ \(\chi_{1001}(901, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.8305867851281.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.w |
\(\chi_{1001}(243, \cdot)\)$,$ \(\chi_{1001}(276, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.480024727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.x |
\(\chi_{1001}(43, \cdot)\)$,$ \(\chi_{1001}(582, \cdot)\)
|
$1001$ |
$143$ |
$6$ |
6.0.494190983.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.y |
\(\chi_{1001}(142, \cdot)\)$,$ \(\chi_{1001}(571, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.0.7021021007.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 1001.z |
\(\chi_{1001}(419, \cdot)\)$,$ \(\chi_{1001}(958, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.9796423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.ba |
\(\chi_{1001}(285, \cdot)\)$,$ \(\chi_{1001}(857, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.49147147049.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.bb |
\(\chi_{1001}(430, \cdot)\)$,$ \(\chi_{1001}(859, \cdot)\)
|
$1001$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bc |
\(\chi_{1001}(153, \cdot)\)$,$ \(\chi_{1001}(615, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.169507507169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.bd |
\(\chi_{1001}(725, \cdot)\)$,$ \(\chi_{1001}(758, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.0.1186552550183.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 1001.be |
\(\chi_{1001}(628, \cdot)\)$,$ \(\chi_{1001}(738, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.6240321451.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bf |
\(\chi_{1001}(516, \cdot)\)$,$ \(\chi_{1001}(549, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.638912911637.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.bg |
\(\chi_{1001}(309, \cdot)\)$,$ \(\chi_{1001}(771, \cdot)\)
|
$1001$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.bh |
\(\chi_{1001}(417, \cdot)\)$,$ \(\chi_{1001}(989, \cdot)\)
|
$1001$ |
$77$ |
$6$ |
6.0.3195731.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bi |
\(\chi_{1001}(298, \cdot)\)$,$ \(\chi_{1001}(870, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.6.5274997.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.bj |
\(\chi_{1001}(120, \cdot)\)$,$ \(\chi_{1001}(659, \cdot)\)
|
$1001$ |
$143$ |
$6$ |
6.0.38014691.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bk |
\(\chi_{1001}(230, \cdot)\)$,$ \(\chi_{1001}(692, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.13039039013.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.bl |
\(\chi_{1001}(12, \cdot)\)$,$ \(\chi_{1001}(584, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.36924979.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bm |
\(\chi_{1001}(131, \cdot)\)$,$ \(\chi_{1001}(703, \cdot)\)
|
$1001$ |
$77$ |
$6$ |
6.6.22370117.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.bn |
\(\chi_{1001}(342, \cdot)\)$,$ \(\chi_{1001}(881, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.127353499.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bo |
\(\chi_{1001}(263, \cdot)\)$,$ \(\chi_{1001}(373, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.0.91273273091.4 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 1001.bp |
\(\chi_{1001}(452, \cdot)\)$,$ \(\chi_{1001}(485, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.6.891474493.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1001.bq |
\(\chi_{1001}(186, \cdot)\)$,$ \(\chi_{1001}(296, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.0.1186552550183.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 1001.br |
\(\chi_{1001}(439, \cdot)\)$,$ \(\chi_{1001}(472, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
6.6.8305867851281.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 1001.bs |
\(\chi_{1001}(705, \cdot)\)$,$ \(\chi_{1001}(815, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
6.0.480024727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1001.bt |
\(\chi_{1001}(337, \cdot)\)$, \cdots ,$\(\chi_{1001}(974, \cdot)\)
|
$1001$ |
$143$ |
$10$ |
10.0.875489472034463.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1001.bu |
\(\chi_{1001}(90, \cdot)\)$, \cdots ,$\(\chi_{1001}(909, \cdot)\)
|
$1001$ |
$1001$ |
$10$ |
10.10.14714351556483219641.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 1001.bv |
\(\chi_{1001}(27, \cdot)\)$, \cdots ,$\(\chi_{1001}(664, \cdot)\)
|
$1001$ |
$77$ |
$10$ |
10.0.3602729712967.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1001.bw |
\(\chi_{1001}(183, \cdot)\)$, \cdots ,$\(\chi_{1001}(820, \cdot)\)
|
$1001$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1001.bx |
\(\chi_{1001}(64, \cdot)\)$, \cdots ,$\(\chi_{1001}(883, \cdot)\)
|
$1001$ |
$143$ |
$10$ |
10.10.79589952003133.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1001.by |
\(\chi_{1001}(181, \cdot)\)$, \cdots ,$\(\chi_{1001}(818, \cdot)\)
|
$1001$ |
$1001$ |
$10$ |
10.0.1337668323316656331.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 1001.bz |
\(\chi_{1001}(118, \cdot)\)$, \cdots ,$\(\chi_{1001}(937, \cdot)\)
|
$1001$ |
$77$ |
$10$ |
10.10.39630026842637.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1001.ca |
\(\chi_{1001}(626, \cdot)\)$, \cdots ,$\(\chi_{1001}(934, \cdot)\)
|
$1001$ |
$1001$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 1001.cb |
\(\chi_{1001}(353, \cdot)\)$, \cdots ,$\(\chi_{1001}(661, \cdot)\)
|
$1001$ |
$91$ |
$12$ |
12.12.506240953553539690213.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1001.cc |
\(\chi_{1001}(32, \cdot)\)$, \cdots ,$\(\chi_{1001}(956, \cdot)\)
|
$1001$ |
$1001$ |
$12$ |
12.12.18302790406495149533335357.2 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 1001.cd |
\(\chi_{1001}(639, \cdot)\)$, \cdots ,$\(\chi_{1001}(947, \cdot)\)
|
$1001$ |
$91$ |
$12$ |
12.0.10331448031704891637.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 1001.ce |
\(\chi_{1001}(197, \cdot)\)$, \cdots ,$\(\chi_{1001}(890, \cdot)\)
|
$1001$ |
$143$ |
$12$ |
12.12.3174921459820581757.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1001.cf |
\(\chi_{1001}(109, \cdot)\)$, \cdots ,$\(\chi_{1001}(879, \cdot)\)
|
$1001$ |
$1001$ |
$12$ |
12.12.108300534949675441025653.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
