| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1900.a |
\(\chi_{1900}(1, \cdot)\)
|
$1900$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1900.b |
\(\chi_{1900}(951, \cdot)\)
|
$1900$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1900.c |
\(\chi_{1900}(1749, \cdot)\)
|
$1900$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1900.d |
\(\chi_{1900}(1899, \cdot)\)
|
$1900$ |
$380$ |
$2$ |
\(\Q(\sqrt{95}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1900.e |
\(\chi_{1900}(1101, \cdot)\)
|
$1900$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1900.f |
\(\chi_{1900}(151, \cdot)\)
|
$1900$ |
$76$ |
$2$ |
\(\Q(\sqrt{19}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1900.g |
\(\chi_{1900}(949, \cdot)\)
|
$1900$ |
$95$ |
$2$ |
\(\Q(\sqrt{-95}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1900.h |
\(\chi_{1900}(799, \cdot)\)
|
$1900$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1900.i |
\(\chi_{1900}(201, \cdot)\)$,$ \(\chi_{1900}(501, \cdot)\)
|
$1900$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1900.j |
\(\chi_{1900}(607, \cdot)\)$,$ \(\chi_{1900}(1443, \cdot)\)
|
$1900$ |
$380$ |
$4$ |
4.0.722000.3 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1900.k |
\(\chi_{1900}(343, \cdot)\)$,$ \(\chi_{1900}(1407, \cdot)\)
|
$1900$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1900.l |
\(\chi_{1900}(493, \cdot)\)$,$ \(\chi_{1900}(1557, \cdot)\)
|
$1900$ |
$95$ |
$4$ |
4.4.45125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1900.m |
\(\chi_{1900}(457, \cdot)\)$,$ \(\chi_{1900}(1293, \cdot)\)
|
$1900$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1900.n |
\(\chi_{1900}(381, \cdot)\)$, \cdots ,$\(\chi_{1900}(1521, \cdot)\)
|
$1900$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1900.o |
\(\chi_{1900}(1551, \cdot)\)$,$ \(\chi_{1900}(1851, \cdot)\)
|
$1900$ |
$76$ |
$6$ |
6.6.158470336.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1900.p |
\(\chi_{1900}(449, \cdot)\)$,$ \(\chi_{1900}(749, \cdot)\)
|
$1900$ |
$95$ |
$6$ |
6.0.309512375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1900.q |
\(\chi_{1900}(999, \cdot)\)$,$ \(\chi_{1900}(1299, \cdot)\)
|
$1900$ |
$380$ |
$6$ |
6.0.1042568000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1900.r |
\(\chi_{1900}(1151, \cdot)\)$,$ \(\chi_{1900}(1451, \cdot)\)
|
$1900$ |
$76$ |
$6$ |
6.0.8340544.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1900.s |
\(\chi_{1900}(49, \cdot)\)$,$ \(\chi_{1900}(349, \cdot)\)
|
$1900$ |
$95$ |
$6$ |
6.6.16290125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1900.t |
\(\chi_{1900}(1399, \cdot)\)$,$ \(\chi_{1900}(1699, \cdot)\)
|
$1900$ |
$380$ |
$6$ |
6.6.19808792000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1900.u |
\(\chi_{1900}(601, \cdot)\)$,$ \(\chi_{1900}(901, \cdot)\)
|
$1900$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1900.v |
\(\chi_{1900}(101, \cdot)\)$, \cdots ,$\(\chi_{1900}(1601, \cdot)\)
|
$1900$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 1900.w |
\(\chi_{1900}(189, \cdot)\)$, \cdots ,$\(\chi_{1900}(1709, \cdot)\)
|
$1900$ |
$475$ |
$10$ |
10.0.1889113616943359375.3 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1900.x |
\(\chi_{1900}(531, \cdot)\)$, \cdots ,$\(\chi_{1900}(1671, \cdot)\)
|
$1900$ |
$1900$ |
$10$ |
10.10.386890468750000000000.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 1900.y |
\(\chi_{1900}(39, \cdot)\)$, \cdots ,$\(\chi_{1900}(1559, \cdot)\)
|
$1900$ |
$100$ |
$10$ |
10.0.781250000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1900.z |
\(\chi_{1900}(229, \cdot)\)$, \cdots ,$\(\chi_{1900}(1369, \cdot)\)
|
$1900$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1900.ba |
\(\chi_{1900}(191, \cdot)\)$, \cdots ,$\(\chi_{1900}(1711, \cdot)\)
|
$1900$ |
$100$ |
$10$ |
10.0.156250000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1900.bb |
\(\chi_{1900}(341, \cdot)\)$, \cdots ,$\(\chi_{1900}(1861, \cdot)\)
|
$1900$ |
$475$ |
$10$ |
10.0.377822723388671875.3 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1900.bc |
\(\chi_{1900}(379, \cdot)\)$, \cdots ,$\(\chi_{1900}(1519, \cdot)\)
|
$1900$ |
$1900$ |
$10$ |
10.10.1934452343750000000000.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 1900.bd |
\(\chi_{1900}(7, \cdot)\)$, \cdots ,$\(\chi_{1900}(1607, \cdot)\)
|
$1900$ |
$380$ |
$12$ |
12.12.135868504328000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1900.be |
\(\chi_{1900}(107, \cdot)\)$, \cdots ,$\(\chi_{1900}(1243, \cdot)\)
|
$1900$ |
$380$ |
$12$ |
12.0.49048530062408000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 1900.bf |
\(\chi_{1900}(657, \cdot)\)$, \cdots ,$\(\chi_{1900}(1793, \cdot)\)
|
$1900$ |
$95$ |
$12$ |
12.0.33171021564453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 1900.bg |
\(\chi_{1900}(293, \cdot)\)$, \cdots ,$\(\chi_{1900}(1893, \cdot)\)
|
$1900$ |
$95$ |
$12$ |
12.12.11974738784767578125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1900.bh |
\(\chi_{1900}(121, \cdot)\)$, \cdots ,$\(\chi_{1900}(1721, \cdot)\)
|
$1900$ |
$475$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1900.bi |
\(\chi_{1900}(401, \cdot)\)$, \cdots ,$\(\chi_{1900}(1801, \cdot)\)
|
$1900$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 1900.bj |
\(\chi_{1900}(99, \cdot)\)$, \cdots ,$\(\chi_{1900}(1499, \cdot)\)
|
$1900$ |
$380$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 1900.bk |
\(\chi_{1900}(299, \cdot)\)$, \cdots ,$\(\chi_{1900}(1799, \cdot)\)
|
$1900$ |
$380$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 1900.bl |
\(\chi_{1900}(249, \cdot)\)$, \cdots ,$\(\chi_{1900}(1649, \cdot)\)
|
$1900$ |
$95$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 1900.bm |
\(\chi_{1900}(149, \cdot)\)$, \cdots ,$\(\chi_{1900}(1849, \cdot)\)
|
$1900$ |
$95$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 1900.bn |
\(\chi_{1900}(51, \cdot)\)$, \cdots ,$\(\chi_{1900}(1751, \cdot)\)
|
$1900$ |
$76$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 1900.bo |
\(\chi_{1900}(251, \cdot)\)$, \cdots ,$\(\chi_{1900}(1651, \cdot)\)
|
$1900$ |
$76$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 1900.bp |
\(\chi_{1900}(77, \cdot)\)$, \cdots ,$\(\chi_{1900}(1673, \cdot)\)
|
$1900$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 1900.bq |
\(\chi_{1900}(37, \cdot)\)$, \cdots ,$\(\chi_{1900}(1633, \cdot)\)
|
$1900$ |
$475$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 1900.br |
\(\chi_{1900}(267, \cdot)\)$, \cdots ,$\(\chi_{1900}(1863, \cdot)\)
|
$1900$ |
$100$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 1900.bs |
\(\chi_{1900}(227, \cdot)\)$, \cdots ,$\(\chi_{1900}(1823, \cdot)\)
|
$1900$ |
$1900$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 1900.bt |
\(\chi_{1900}(429, \cdot)\)$, \cdots ,$\(\chi_{1900}(1869, \cdot)\)
|
$1900$ |
$475$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1900.bu |
\(\chi_{1900}(11, \cdot)\)$, \cdots ,$\(\chi_{1900}(1831, \cdot)\)
|
$1900$ |
$1900$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 1900.bv |
\(\chi_{1900}(141, \cdot)\)$, \cdots ,$\(\chi_{1900}(1741, \cdot)\)
|
$1900$ |
$475$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1900.bw |
\(\chi_{1900}(179, \cdot)\)$, \cdots ,$\(\chi_{1900}(1779, \cdot)\)
|
$1900$ |
$1900$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 1900.bx |
\(\chi_{1900}(69, \cdot)\)$, \cdots ,$\(\chi_{1900}(1889, \cdot)\)
|
$1900$ |
$475$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
