| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 425.a |
\(\chi_{425}(1, \cdot)\)
|
$425$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 425.b |
\(\chi_{425}(324, \cdot)\)
|
$425$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 425.c |
\(\chi_{425}(424, \cdot)\)
|
$425$ |
$85$ |
$2$ |
\(\Q(\sqrt{85}) \) |
\(\Q\) |
even |
✓ |
|
|
| 425.d |
\(\chi_{425}(101, \cdot)\)
|
$425$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 425.e |
\(\chi_{425}(251, \cdot)\)$,$ \(\chi_{425}(276, \cdot)\)
|
$425$ |
$17$ |
$4$ |
4.4.4913.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 425.f |
\(\chi_{425}(157, \cdot)\)$,$ \(\chi_{425}(268, \cdot)\)
|
$425$ |
$85$ |
$4$ |
4.0.614125.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 425.g |
\(\chi_{425}(118, \cdot)\)$,$ \(\chi_{425}(407, \cdot)\)
|
$425$ |
$85$ |
$4$ |
4.0.36125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 425.h |
\(\chi_{425}(18, \cdot)\)$,$ \(\chi_{425}(307, \cdot)\)
|
$425$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 425.i |
\(\chi_{425}(132, \cdot)\)$,$ \(\chi_{425}(293, \cdot)\)
|
$425$ |
$85$ |
$4$ |
4.0.614125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 425.j |
\(\chi_{425}(149, \cdot)\)$,$ \(\chi_{425}(174, \cdot)\)
|
$425$ |
$85$ |
$4$ |
4.4.122825.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 425.k |
\(\chi_{425}(86, \cdot)\)$, \cdots ,$\(\chi_{425}(341, \cdot)\)
|
$425$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 425.l |
\(\chi_{425}(32, \cdot)\)$, \cdots ,$\(\chi_{425}(257, \cdot)\)
|
$425$ |
$85$ |
$8$ |
8.0.6411541765625.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 425.m |
\(\chi_{425}(26, \cdot)\)$, \cdots ,$\(\chi_{425}(376, \cdot)\)
|
$425$ |
$17$ |
$8$ |
\(\Q(\zeta_{17})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
✓ |
| 425.n |
\(\chi_{425}(49, \cdot)\)$, \cdots ,$\(\chi_{425}(399, \cdot)\)
|
$425$ |
$85$ |
$8$ |
8.8.256461670625.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 425.o |
\(\chi_{425}(168, \cdot)\)$, \cdots ,$\(\chi_{425}(393, \cdot)\)
|
$425$ |
$85$ |
$8$ |
8.0.6411541765625.2 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 425.p |
\(\chi_{425}(16, \cdot)\)$, \cdots ,$\(\chi_{425}(356, \cdot)\)
|
$425$ |
$425$ |
$10$ |
10.10.216652984619140625.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 425.q |
\(\chi_{425}(84, \cdot)\)$, \cdots ,$\(\chi_{425}(339, \cdot)\)
|
$425$ |
$425$ |
$10$ |
10.10.1083264923095703125.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 425.r |
\(\chi_{425}(69, \cdot)\)$, \cdots ,$\(\chi_{425}(409, \cdot)\)
|
$425$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 425.s |
\(\chi_{425}(7, \cdot)\)$, \cdots ,$\(\chi_{425}(343, \cdot)\)
|
$425$ |
$85$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 425.t |
\(\chi_{425}(24, \cdot)\)$, \cdots ,$\(\chi_{425}(299, \cdot)\)
|
$425$ |
$85$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
| 425.u |
\(\chi_{425}(126, \cdot)\)$, \cdots ,$\(\chi_{425}(401, \cdot)\)
|
$425$ |
$17$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 425.v |
\(\chi_{425}(82, \cdot)\)$, \cdots ,$\(\chi_{425}(418, \cdot)\)
|
$425$ |
$85$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 425.w |
\(\chi_{425}(4, \cdot)\)$, \cdots ,$\(\chi_{425}(404, \cdot)\)
|
$425$ |
$425$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 425.x |
\(\chi_{425}(38, \cdot)\)$, \cdots ,$\(\chi_{425}(387, \cdot)\)
|
$425$ |
$425$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 425.y |
\(\chi_{425}(52, \cdot)\)$, \cdots ,$\(\chi_{425}(392, \cdot)\)
|
$425$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 425.z |
\(\chi_{425}(33, \cdot)\)$, \cdots ,$\(\chi_{425}(373, \cdot)\)
|
$425$ |
$425$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 425.ba |
\(\chi_{425}(13, \cdot)\)$, \cdots ,$\(\chi_{425}(412, \cdot)\)
|
$425$ |
$425$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 425.bb |
\(\chi_{425}(21, \cdot)\)$, \cdots ,$\(\chi_{425}(421, \cdot)\)
|
$425$ |
$425$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 425.bc |
\(\chi_{425}(42, \cdot)\)$, \cdots ,$\(\chi_{425}(423, \cdot)\)
|
$425$ |
$425$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
odd |
|
✓ |
✓ |
| 425.bd |
\(\chi_{425}(9, \cdot)\)$, \cdots ,$\(\chi_{425}(389, \cdot)\)
|
$425$ |
$425$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
even |
|
✓ |
✓ |
| 425.be |
\(\chi_{425}(36, \cdot)\)$, \cdots ,$\(\chi_{425}(416, \cdot)\)
|
$425$ |
$425$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
even |
|
✓ |
✓ |
| 425.bf |
\(\chi_{425}(2, \cdot)\)$, \cdots ,$\(\chi_{425}(383, \cdot)\)
|
$425$ |
$425$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
odd |
|
✓ |
✓ |
| 425.bg |
\(\chi_{425}(12, \cdot)\)$, \cdots ,$\(\chi_{425}(422, \cdot)\)
|
$425$ |
$425$ |
$80$ |
not computed |
$\Q(\zeta_{80})$ |
even |
|
✓ |
✓ |
| 425.bh |
\(\chi_{425}(14, \cdot)\)$, \cdots ,$\(\chi_{425}(419, \cdot)\)
|
$425$ |
$425$ |
$80$ |
not computed |
$\Q(\zeta_{80})$ |
odd |
|
✓ |
✓ |
| 425.bi |
\(\chi_{425}(6, \cdot)\)$, \cdots ,$\(\chi_{425}(411, \cdot)\)
|
$425$ |
$425$ |
$80$ |
not computed |
$\Q(\zeta_{80})$ |
odd |
|
✓ |
✓ |
| 425.bj |
\(\chi_{425}(3, \cdot)\)$, \cdots ,$\(\chi_{425}(413, \cdot)\)
|
$425$ |
$425$ |
$80$ |
not computed |
$\Q(\zeta_{80})$ |
even |
|
✓ |
✓ |
