| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 40310.a |
\(\chi_{40310}(1, \cdot)\)
|
$40310$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 40310.b |
\(\chi_{40310}(40309, \cdot)\)
|
$40310$ |
$20155$ |
$2$ |
\(\Q(\sqrt{-20155}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 40310.c |
\(\chi_{40310}(32249, \cdot)\)
|
$40310$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 40310.d |
\(\chi_{40310}(1391, \cdot)\)
|
$40310$ |
$29$ |
$2$ |
\(\Q(\sqrt{29}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 40310.e |
\(\chi_{40310}(6671, \cdot)\)
|
$40310$ |
$139$ |
$2$ |
\(\Q(\sqrt{-139}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 40310.f |
\(\chi_{40310}(33639, \cdot)\)
|
$40310$ |
$145$ |
$2$ |
\(\Q(\sqrt{145}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 40310.g |
\(\chi_{40310}(38919, \cdot)\)
|
$40310$ |
$695$ |
$2$ |
\(\Q(\sqrt{-695}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 40310.h |
\(\chi_{40310}(8061, \cdot)\)
|
$40310$ |
$4031$ |
$2$ |
\(\Q(\sqrt{-4031}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 40310.i |
\(\chi_{40310}(4351, \cdot)\)$,$ \(\chi_{40310}(25811, \cdot)\)
|
$40310$ |
$139$ |
$3$ |
3.3.19321.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 40310.j |
\(\chi_{40310}(13067, \cdot)\)$,$ \(\chi_{40310}(20573, \cdot)\)
|
$40310$ |
$145$ |
$4$ |
4.4.3048625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 40310.k |
\(\chi_{40310}(3057, \cdot)\)$,$ \(\chi_{40310}(3613, \cdot)\)
|
$40310$ |
$20155$ |
$4$ |
deg 4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 40310.l |
\(\chi_{40310}(4449, \cdot)\)$,$ \(\chi_{40310}(21129, \cdot)\)
|
$40310$ |
$145$ |
$4$ |
4.0.609725.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 40310.m |
\(\chi_{40310}(11119, \cdot)\)$,$ \(\chi_{40310}(27799, \cdot)\)
|
$40310$ |
$20155$ |
$4$ |
deg 4 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 40310.n |
\(\chi_{40310}(16123, \cdot)\)$,$ \(\chi_{40310}(32247, \cdot)\)
|
$40310$ |
$20155$ |
$4$ |
deg 4 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 40310.o |
\(\chi_{40310}(9453, \cdot)\)$,$ \(\chi_{40310}(25577, \cdot)\)
|
$40310$ |
$145$ |
$4$ |
4.0.105125.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 40310.p |
\(\chi_{40310}(8063, \cdot)\)$,$ \(\chi_{40310}(24187, \cdot)\)
|
$40310$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 40310.q |
\(\chi_{40310}(14733, \cdot)\)$,$ \(\chi_{40310}(30857, \cdot)\)
|
$40310$ |
$695$ |
$4$ |
4.4.2415125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 40310.r |
\(\chi_{40310}(19181, \cdot)\)$,$ \(\chi_{40310}(35861, \cdot)\)
|
$40310$ |
$4031$ |
$4$ |
4.4.471219869.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 40310.s |
\(\chi_{40310}(12511, \cdot)\)$,$ \(\chi_{40310}(29191, \cdot)\)
|
$40310$ |
$29$ |
$4$ |
4.0.24389.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 40310.t |
\(\chi_{40310}(19737, \cdot)\)$,$ \(\chi_{40310}(27243, \cdot)\)
|
$40310$ |
$20155$ |
$4$ |
deg 4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 40310.u |
\(\chi_{40310}(36697, \cdot)\)$,$ \(\chi_{40310}(37253, \cdot)\)
|
$40310$ |
$145$ |
$4$ |
4.4.3048625.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 40310.v |
\(\chi_{40310}(3711, \cdot)\)$,$ \(\chi_{40310}(22561, \cdot)\)
|
$40310$ |
$4031$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 40310.w |
\(\chi_{40310}(13109, \cdot)\)$,$ \(\chi_{40310}(34569, \cdot)\)
|
$40310$ |
$695$ |
$6$ |
6.0.6486105587375.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 40310.x |
\(\chi_{40310}(19139, \cdot)\)$,$ \(\chi_{40310}(37989, \cdot)\)
|
$40310$ |
$20155$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 40310.y |
\(\chi_{40310}(2321, \cdot)\)$,$ \(\chi_{40310}(21171, \cdot)\)
|
$40310$ |
$139$ |
$6$ |
6.0.51888844699.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 40310.z |
\(\chi_{40310}(5741, \cdot)\)$,$ \(\chi_{40310}(27201, \cdot)\)
|
$40310$ |
$4031$ |
$6$ |
6.6.9104439088949.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 40310.ba |
\(\chi_{40310}(17749, \cdot)\)$,$ \(\chi_{40310}(36599, \cdot)\)
|
$40310$ |
$695$ |
$6$ |
6.6.46662630125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 40310.bb |
\(\chi_{40310}(14499, \cdot)\)$,$ \(\chi_{40310}(35959, \cdot)\)
|
$40310$ |
$20155$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 40310.bc |
\(\chi_{40310}(4171, \cdot)\)$, \cdots ,$\(\chi_{40310}(36141, \cdot)\)
|
$40310$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 40310.bd |
\(\chi_{40310}(737, \cdot)\)$, \cdots ,$\(\chi_{40310}(22753, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 40310.be |
\(\chi_{40310}(1433, \cdot)\)$, \cdots ,$\(\chi_{40310}(34237, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 40310.bf |
\(\chi_{40310}(10051, \cdot)\)$, \cdots ,$\(\chi_{40310}(33681, \cdot)\)
|
$40310$ |
$4031$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 40310.bg |
\(\chi_{40310}(14691, \cdot)\)$, \cdots ,$\(\chi_{40310}(38321, \cdot)\)
|
$40310$ |
$4031$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 40310.bh |
\(\chi_{40310}(5047, \cdot)\)$, \cdots ,$\(\chi_{40310}(29233, \cdot)\)
|
$40310$ |
$695$ |
$12$ |
12.12.5258695711322149219923828125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 40310.bi |
\(\chi_{40310}(9687, \cdot)\)$, \cdots ,$\(\chi_{40310}(33873, \cdot)\)
|
$40310$ |
$695$ |
$12$ |
12.0.272175131272819689453125.2 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 40310.bj |
\(\chi_{40310}(11077, \cdot)\)$, \cdots ,$\(\chi_{40310}(35263, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 40310.bk |
\(\chi_{40310}(6437, \cdot)\)$, \cdots ,$\(\chi_{40310}(30623, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 40310.bl |
\(\chi_{40310}(6629, \cdot)\)$, \cdots ,$\(\chi_{40310}(30259, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 40310.bm |
\(\chi_{40310}(1989, \cdot)\)$, \cdots ,$\(\chi_{40310}(25619, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 40310.bn |
\(\chi_{40310}(17557, \cdot)\)$, \cdots ,$\(\chi_{40310}(39573, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 40310.bo |
\(\chi_{40310}(6073, \cdot)\)$, \cdots ,$\(\chi_{40310}(38877, \cdot)\)
|
$40310$ |
$20155$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 40310.bp |
\(\chi_{40310}(1111, \cdot)\)$, \cdots ,$\(\chi_{40310}(38641, \cdot)\)
|
$40310$ |
$4031$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 40310.bq |
\(\chi_{40310}(2779, \cdot)\)$, \cdots ,$\(\chi_{40310}(34749, \cdot)\)
|
$40310$ |
$20155$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 40310.br |
\(\chi_{40310}(8619, \cdot)\)$, \cdots ,$\(\chi_{40310}(37809, \cdot)\)
|
$40310$ |
$145$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 40310.bs |
\(\chi_{40310}(2501, \cdot)\)$, \cdots ,$\(\chi_{40310}(31691, \cdot)\)
|
$40310$ |
$4031$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 40310.bt |
\(\chi_{40310}(5561, \cdot)\)$, \cdots ,$\(\chi_{40310}(37531, \cdot)\)
|
$40310$ |
$29$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 40310.bu |
\(\chi_{40310}(1669, \cdot)\)$, \cdots ,$\(\chi_{40310}(39199, \cdot)\)
|
$40310$ |
$145$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 40310.bv |
\(\chi_{40310}(4169, \cdot)\)$, \cdots ,$\(\chi_{40310}(36139, \cdot)\)
|
$40310$ |
$20155$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 40310.bw |
\(\chi_{40310}(181, \cdot)\)$, \cdots ,$\(\chi_{40310}(35541, \cdot)\)
|
$40310$ |
$4031$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 40310.bx |
\(\chi_{40310}(3481, \cdot)\)$, \cdots ,$\(\chi_{40310}(39731, \cdot)\)
|
$40310$ |
$139$ |
$23$ |
not computed |
\(\Q(\zeta_{23})\) |
even |
|
|
✓ |
