| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 28900.a |
\(\chi_{28900}(1, \cdot)\)
|
$28900$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 28900.b |
\(\chi_{28900}(14451, \cdot)\)
|
$28900$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 28900.c |
\(\chi_{28900}(5201, \cdot)\)
|
$28900$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
|
| 28900.d |
\(\chi_{28900}(28899, \cdot)\)
|
$28900$ |
$340$ |
$2$ |
\(\Q(\sqrt{-85}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 28900.e |
\(\chi_{28900}(9249, \cdot)\)
|
$28900$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 28900.f |
\(\chi_{28900}(23699, \cdot)\)
|
$28900$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 28900.g |
\(\chi_{28900}(14449, \cdot)\)
|
$28900$ |
$85$ |
$2$ |
\(\Q(\sqrt{85}) \) |
\(\Q\) |
even |
✓ |
|
|
| 28900.h |
\(\chi_{28900}(19651, \cdot)\)
|
$28900$ |
$68$ |
$2$ |
\(\Q(\sqrt{-17}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 28900.i |
\(\chi_{28900}(1407, \cdot)\)$,$ \(\chi_{28900}(13043, \cdot)\)
|
$28900$ |
$340$ |
$4$ |
4.4.9826000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 28900.j |
\(\chi_{28900}(20557, \cdot)\)$,$ \(\chi_{28900}(22793, \cdot)\)
|
$28900$ |
$85$ |
$4$ |
4.0.614125.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 28900.k |
\(\chi_{28900}(6357, \cdot)\)$,$ \(\chi_{28900}(13293, \cdot)\)
|
$28900$ |
$85$ |
$4$ |
4.0.36125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 28900.l |
\(\chi_{28900}(15607, \cdot)\)$,$ \(\chi_{28900}(22543, \cdot)\)
|
$28900$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 28900.m |
\(\chi_{28900}(23949, \cdot)\)$,$ \(\chi_{28900}(28649, \cdot)\)
|
$28900$ |
$85$ |
$4$ |
4.4.122825.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 28900.n |
\(\chi_{28900}(9499, \cdot)\)$,$ \(\chi_{28900}(14199, \cdot)\)
|
$28900$ |
$340$ |
$4$ |
4.0.1965200.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 28900.o |
\(\chi_{28900}(14701, \cdot)\)$,$ \(\chi_{28900}(19401, \cdot)\)
|
$28900$ |
$17$ |
$4$ |
4.4.4913.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 28900.p |
\(\chi_{28900}(251, \cdot)\)$,$ \(\chi_{28900}(4951, \cdot)\)
|
$28900$ |
$68$ |
$4$ |
4.0.78608.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 28900.q |
\(\chi_{28900}(1157, \cdot)\)$,$ \(\chi_{28900}(8093, \cdot)\)
|
$28900$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 28900.r |
\(\chi_{28900}(20807, \cdot)\)$,$ \(\chi_{28900}(27743, \cdot)\)
|
$28900$ |
$340$ |
$4$ |
4.4.578000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 28900.s |
\(\chi_{28900}(6107, \cdot)\)$,$ \(\chi_{28900}(8343, \cdot)\)
|
$28900$ |
$340$ |
$4$ |
4.4.9826000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 28900.t |
\(\chi_{28900}(15857, \cdot)\)$,$ \(\chi_{28900}(27493, \cdot)\)
|
$28900$ |
$85$ |
$4$ |
4.0.614125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 28900.u |
\(\chi_{28900}(5781, \cdot)\)$, \cdots ,$\(\chi_{28900}(23121, \cdot)\)
|
$28900$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 28900.v |
\(\chi_{28900}(1001, \cdot)\)$, \cdots ,$\(\chi_{28900}(28501, \cdot)\)
|
$28900$ |
$17$ |
$8$ |
\(\Q(\zeta_{17})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 28900.w |
\(\chi_{28900}(14051, \cdot)\)$, \cdots ,$\(\chi_{28900}(20051, \cdot)\)
|
$28900$ |
$68$ |
$8$ |
8.0.105046700288.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 28900.x |
\(\chi_{28900}(15207, \cdot)\)$, \cdots ,$\(\chi_{28900}(26743, \cdot)\)
|
$28900$ |
$340$ |
$8$ |
8.8.1641354692000000.2 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 28900.y |
\(\chi_{28900}(2157, \cdot)\)$, \cdots ,$\(\chi_{28900}(13693, \cdot)\)
|
$28900$ |
$85$ |
$8$ |
8.0.6411541765625.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 28900.z |
\(\chi_{28900}(757, \cdot)\)$, \cdots ,$\(\chi_{28900}(12293, \cdot)\)
|
$28900$ |
$85$ |
$8$ |
8.0.6411541765625.2 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 28900.ba |
\(\chi_{28900}(16607, \cdot)\)$, \cdots ,$\(\chi_{28900}(28143, \cdot)\)
|
$28900$ |
$340$ |
$8$ |
8.8.1641354692000000.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 28900.bb |
\(\chi_{28900}(399, \cdot)\)$, \cdots ,$\(\chi_{28900}(27899, \cdot)\)
|
$28900$ |
$340$ |
$8$ |
8.0.65654187680000.2 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 28900.bc |
\(\chi_{28900}(8849, \cdot)\)$, \cdots ,$\(\chi_{28900}(14849, \cdot)\)
|
$28900$ |
$85$ |
$8$ |
8.8.256461670625.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 28900.bd |
\(\chi_{28900}(2311, \cdot)\)$, \cdots ,$\(\chi_{28900}(25431, \cdot)\)
|
$28900$ |
$1700$ |
$10$ |
10.0.221852656250000000000.4 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 28900.be |
\(\chi_{28900}(2889, \cdot)\)$, \cdots ,$\(\chi_{28900}(26009, \cdot)\)
|
$28900$ |
$425$ |
$10$ |
10.10.1083264923095703125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 28900.bf |
\(\chi_{28900}(579, \cdot)\)$, \cdots ,$\(\chi_{28900}(17919, \cdot)\)
|
$28900$ |
$100$ |
$10$ |
10.0.781250000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 28900.bg |
\(\chi_{28900}(3469, \cdot)\)$, \cdots ,$\(\chi_{28900}(26589, \cdot)\)
|
$28900$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 28900.bh |
\(\chi_{28900}(5779, \cdot)\)$, \cdots ,$\(\chi_{28900}(23119, \cdot)\)
|
$28900$ |
$1700$ |
$10$ |
10.0.1109263281250000000000.3 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 28900.bi |
\(\chi_{28900}(10981, \cdot)\)$, \cdots ,$\(\chi_{28900}(28321, \cdot)\)
|
$28900$ |
$425$ |
$10$ |
10.10.216652984619140625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 28900.bj |
\(\chi_{28900}(2891, \cdot)\)$, \cdots ,$\(\chi_{28900}(26011, \cdot)\)
|
$28900$ |
$100$ |
$10$ |
10.0.156250000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 28900.bk |
\(\chi_{28900}(643, \cdot)\)$, \cdots ,$\(\chi_{28900}(25507, \cdot)\)
|
$28900$ |
$340$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 28900.bl |
\(\chi_{28900}(4493, \cdot)\)$, \cdots ,$\(\chi_{28900}(25357, \cdot)\)
|
$28900$ |
$85$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 28900.bm |
\(\chi_{28900}(7001, \cdot)\)$, \cdots ,$\(\chi_{28900}(27101, \cdot)\)
|
$28900$ |
$17$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 28900.bn |
\(\chi_{28900}(5451, \cdot)\)$, \cdots ,$\(\chi_{28900}(28651, \cdot)\)
|
$28900$ |
$68$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 28900.bo |
\(\chi_{28900}(1799, \cdot)\)$, \cdots ,$\(\chi_{28900}(21899, \cdot)\)
|
$28900$ |
$340$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
| 28900.bp |
\(\chi_{28900}(249, \cdot)\)$, \cdots ,$\(\chi_{28900}(23449, \cdot)\)
|
$28900$ |
$85$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
| 28900.bq |
\(\chi_{28900}(3393, \cdot)\)$, \cdots ,$\(\chi_{28900}(28257, \cdot)\)
|
$28900$ |
$85$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 28900.br |
\(\chi_{28900}(3543, \cdot)\)$, \cdots ,$\(\chi_{28900}(24407, \cdot)\)
|
$28900$ |
$340$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 28900.bs |
\(\chi_{28900}(1701, \cdot)\)$, \cdots ,$\(\chi_{28900}(27201, \cdot)\)
|
$28900$ |
$289$ |
$17$ |
not computed |
\(\Q(\zeta_{17})\) |
even |
|
|
✓ |
| 28900.bt |
\(\chi_{28900}(4297, \cdot)\)$, \cdots ,$\(\chi_{28900}(27417, \cdot)\)
|
$28900$ |
$425$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
|
| 28900.bu |
\(\chi_{28900}(327, \cdot)\)$, \cdots ,$\(\chi_{28900}(25683, \cdot)\)
|
$28900$ |
$1700$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
|
| 28900.bv |
\(\chi_{28900}(3467, \cdot)\)$, \cdots ,$\(\chi_{28900}(26587, \cdot)\)
|
$28900$ |
$1700$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
|
| 28900.bw |
\(\chi_{28900}(2313, \cdot)\)$, \cdots ,$\(\chi_{28900}(25433, \cdot)\)
|
$28900$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 28900.bx |
\(\chi_{28900}(6031, \cdot)\)$, \cdots ,$\(\chi_{28900}(28071, \cdot)\)
|
$28900$ |
$1700$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
|
