| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 3150.a |
\(\chi_{3150}(1, \cdot)\)
|
$3150$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3150.b |
\(\chi_{3150}(251, \cdot)\)
|
$3150$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3150.c |
\(\chi_{3150}(449, \cdot)\)
|
$3150$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 3150.d |
\(\chi_{3150}(3149, \cdot)\)
|
$3150$ |
$105$ |
$2$ |
\(\Q(\sqrt{105}) \) |
\(\Q\) |
even |
✓ |
|
|
| 3150.e |
\(\chi_{3150}(701, \cdot)\)
|
$3150$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3150.f |
\(\chi_{3150}(2701, \cdot)\)
|
$3150$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3150.g |
\(\chi_{3150}(2899, \cdot)\)
|
$3150$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 3150.h |
\(\chi_{3150}(2449, \cdot)\)
|
$3150$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 3150.i |
\(\chi_{3150}(151, \cdot)\)$,$ \(\chi_{3150}(751, \cdot)\)
|
$3150$ |
$63$ |
$3$ |
3.3.3969.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.j |
\(\chi_{3150}(1051, \cdot)\)$,$ \(\chi_{3150}(2101, \cdot)\)
|
$3150$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.k |
\(\chi_{3150}(1801, \cdot)\)$,$ \(\chi_{3150}(2251, \cdot)\)
|
$3150$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.l |
\(\chi_{3150}(1201, \cdot)\)$,$ \(\chi_{3150}(2851, \cdot)\)
|
$3150$ |
$63$ |
$3$ |
3.3.3969.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.m |
\(\chi_{3150}(1457, \cdot)\)$,$ \(\chi_{3150}(2843, \cdot)\)
|
$3150$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 3150.n |
\(\chi_{3150}(1007, \cdot)\)$,$ \(\chi_{3150}(2393, \cdot)\)
|
$3150$ |
$105$ |
$4$ |
4.0.55125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 3150.o |
\(\chi_{3150}(757, \cdot)\)$,$ \(\chi_{3150}(2143, \cdot)\)
|
$3150$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 3150.p |
\(\chi_{3150}(307, \cdot)\)$,$ \(\chi_{3150}(1693, \cdot)\)
|
$3150$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 3150.q |
\(\chi_{3150}(631, \cdot)\)$, \cdots ,$\(\chi_{3150}(2521, \cdot)\)
|
$3150$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 3150.r |
\(\chi_{3150}(851, \cdot)\)$,$ \(\chi_{3150}(1451, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.0.47258883.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.s |
\(\chi_{3150}(299, \cdot)\)$,$ \(\chi_{3150}(1949, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.6.41351522625.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.t |
\(\chi_{3150}(599, \cdot)\)$,$ \(\chi_{3150}(1199, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.0.5907360375.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.u |
\(\chi_{3150}(551, \cdot)\)$,$ \(\chi_{3150}(2201, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.6.330812181.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.v |
\(\chi_{3150}(1549, \cdot)\)$,$ \(\chi_{3150}(1999, \cdot)\)
|
$3150$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.w |
\(\chi_{3150}(451, \cdot)\)$,$ \(\chi_{3150}(901, \cdot)\)
|
$3150$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.x |
\(\chi_{3150}(1249, \cdot)\)$,$ \(\chi_{3150}(2749, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.0.13783840875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.y |
\(\chi_{3150}(349, \cdot)\)$,$ \(\chi_{3150}(1399, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.0.281302875.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.z |
\(\chi_{3150}(601, \cdot)\)$,$ \(\chi_{3150}(1651, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.0.2250423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.ba |
\(\chi_{3150}(799, \cdot)\)$,$ \(\chi_{3150}(1849, \cdot)\)
|
$3150$ |
$45$ |
$6$ |
6.6.820125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.bb |
\(\chi_{3150}(499, \cdot)\)$,$ \(\chi_{3150}(3049, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.6.1969120125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.bc |
\(\chi_{3150}(1501, \cdot)\)$,$ \(\chi_{3150}(3001, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.0.110270727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.bd |
\(\chi_{3150}(199, \cdot)\)$,$ \(\chi_{3150}(649, \cdot)\)
|
$3150$ |
$35$ |
$6$ |
6.0.2100875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.be |
\(\chi_{3150}(2249, \cdot)\)$,$ \(\chi_{3150}(2699, \cdot)\)
|
$3150$ |
$105$ |
$6$ |
6.0.8103375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.bf |
\(\chi_{3150}(1151, \cdot)\)$,$ \(\chi_{3150}(1601, \cdot)\)
|
$3150$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.bg |
\(\chi_{3150}(1049, \cdot)\)$,$ \(\chi_{3150}(2099, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.6.843908625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.bh |
\(\chi_{3150}(1751, \cdot)\)$,$ \(\chi_{3150}(2801, \cdot)\)
|
$3150$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.bi |
\(\chi_{3150}(401, \cdot)\)$,$ \(\chi_{3150}(1901, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.0.47258883.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.bj |
\(\chi_{3150}(2399, \cdot)\)$,$ \(\chi_{3150}(2999, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.6.41351522625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.bk |
\(\chi_{3150}(149, \cdot)\)$,$ \(\chi_{3150}(1649, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.0.5907360375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.bl |
\(\chi_{3150}(101, \cdot)\)$,$ \(\chi_{3150}(2651, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.6.330812181.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.bm |
\(\chi_{3150}(1301, \cdot)\)$,$ \(\chi_{3150}(2351, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.6.6751269.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3150.bn |
\(\chi_{3150}(1499, \cdot)\)$,$ \(\chi_{3150}(2549, \cdot)\)
|
$3150$ |
$45$ |
$6$ |
6.0.2460375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.bo |
\(\chi_{3150}(2501, \cdot)\)$,$ \(\chi_{3150}(2951, \cdot)\)
|
$3150$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.bp |
\(\chi_{3150}(899, \cdot)\)$,$ \(\chi_{3150}(1349, \cdot)\)
|
$3150$ |
$105$ |
$6$ |
6.6.56723625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.bq |
\(\chi_{3150}(1699, \cdot)\)$,$ \(\chi_{3150}(2299, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.0.13783840875.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3150.br |
\(\chi_{3150}(949, \cdot)\)$,$ \(\chi_{3150}(2599, \cdot)\)
|
$3150$ |
$315$ |
$6$ |
6.6.1969120125.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3150.bs |
\(\chi_{3150}(1951, \cdot)\)$,$ \(\chi_{3150}(2551, \cdot)\)
|
$3150$ |
$63$ |
$6$ |
6.0.110270727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3150.bt |
\(\chi_{3150}(559, \cdot)\)$, \cdots ,$\(\chi_{3150}(3079, \cdot)\)
|
$3150$ |
$175$ |
$10$ |
10.0.12822723388671875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3150.bu |
\(\chi_{3150}(379, \cdot)\)$, \cdots ,$\(\chi_{3150}(2269, \cdot)\)
|
$3150$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 3150.bv |
\(\chi_{3150}(181, \cdot)\)$, \cdots ,$\(\chi_{3150}(2071, \cdot)\)
|
$3150$ |
$175$ |
$10$ |
10.0.2564544677734375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3150.bw |
\(\chi_{3150}(71, \cdot)\)$, \cdots ,$\(\chi_{3150}(2591, \cdot)\)
|
$3150$ |
$75$ |
$10$ |
10.0.37078857421875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3150.bx |
\(\chi_{3150}(629, \cdot)\)$, \cdots ,$\(\chi_{3150}(2519, \cdot)\)
|
$3150$ |
$525$ |
$10$ |
10.10.3115921783447265625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
