| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 475.a |
\(\chi_{475}(1, \cdot)\)
|
$475$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 475.b |
\(\chi_{475}(324, \cdot)\)
|
$475$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 475.c |
\(\chi_{475}(151, \cdot)\)
|
$475$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 475.d |
\(\chi_{475}(474, \cdot)\)
|
$475$ |
$95$ |
$2$ |
\(\Q(\sqrt{-95}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 475.e |
\(\chi_{475}(26, \cdot)\)$,$ \(\chi_{475}(201, \cdot)\)
|
$475$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 475.f |
\(\chi_{475}(343, \cdot)\)$,$ \(\chi_{475}(457, \cdot)\)
|
$475$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 475.g |
\(\chi_{475}(18, \cdot)\)$,$ \(\chi_{475}(132, \cdot)\)
|
$475$ |
$95$ |
$4$ |
4.4.45125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 475.h |
\(\chi_{475}(96, \cdot)\)$, \cdots ,$\(\chi_{475}(381, \cdot)\)
|
$475$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 475.i |
\(\chi_{475}(274, \cdot)\)$,$ \(\chi_{475}(449, \cdot)\)
|
$475$ |
$95$ |
$6$ |
6.0.309512375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 475.j |
\(\chi_{475}(49, \cdot)\)$,$ \(\chi_{475}(349, \cdot)\)
|
$475$ |
$95$ |
$6$ |
6.6.16290125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 475.k |
\(\chi_{475}(126, \cdot)\)$,$ \(\chi_{475}(426, \cdot)\)
|
$475$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 475.l |
\(\chi_{475}(101, \cdot)\)$, \cdots ,$\(\chi_{475}(351, \cdot)\)
|
$475$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 475.m |
\(\chi_{475}(94, \cdot)\)$, \cdots ,$\(\chi_{475}(379, \cdot)\)
|
$475$ |
$475$ |
$10$ |
10.0.1889113616943359375.3 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 475.n |
\(\chi_{475}(39, \cdot)\)$, \cdots ,$\(\chi_{475}(419, \cdot)\)
|
$475$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 475.o |
\(\chi_{475}(56, \cdot)\)$, \cdots ,$\(\chi_{475}(436, \cdot)\)
|
$475$ |
$475$ |
$10$ |
10.0.377822723388671875.3 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 475.p |
\(\chi_{475}(107, \cdot)\)$, \cdots ,$\(\chi_{475}(468, \cdot)\)
|
$475$ |
$95$ |
$12$ |
12.12.11974738784767578125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 475.q |
\(\chi_{475}(7, \cdot)\)$, \cdots ,$\(\chi_{475}(368, \cdot)\)
|
$475$ |
$95$ |
$12$ |
12.0.33171021564453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 475.r |
\(\chi_{475}(11, \cdot)\)$, \cdots ,$\(\chi_{475}(406, \cdot)\)
|
$475$ |
$475$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 475.s |
\(\chi_{475}(51, \cdot)\)$, \cdots ,$\(\chi_{475}(451, \cdot)\)
|
$475$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 475.t |
\(\chi_{475}(124, \cdot)\)$, \cdots ,$\(\chi_{475}(374, \cdot)\)
|
$475$ |
$95$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 475.u |
\(\chi_{475}(24, \cdot)\)$, \cdots ,$\(\chi_{475}(424, \cdot)\)
|
$475$ |
$95$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 475.v |
\(\chi_{475}(37, \cdot)\)$, \cdots ,$\(\chi_{475}(417, \cdot)\)
|
$475$ |
$475$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 475.w |
\(\chi_{475}(58, \cdot)\)$, \cdots ,$\(\chi_{475}(438, \cdot)\)
|
$475$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 475.x |
\(\chi_{475}(64, \cdot)\)$, \cdots ,$\(\chi_{475}(444, \cdot)\)
|
$475$ |
$475$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 475.y |
\(\chi_{475}(31, \cdot)\)$, \cdots ,$\(\chi_{475}(411, \cdot)\)
|
$475$ |
$475$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 475.z |
\(\chi_{475}(69, \cdot)\)$, \cdots ,$\(\chi_{475}(464, \cdot)\)
|
$475$ |
$475$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 475.ba |
\(\chi_{475}(43, \cdot)\)$, \cdots ,$\(\chi_{475}(443, \cdot)\)
|
$475$ |
$95$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
| 475.bb |
\(\chi_{475}(32, \cdot)\)$, \cdots ,$\(\chi_{475}(432, \cdot)\)
|
$475$ |
$95$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
✓ |
| 475.bc |
\(\chi_{475}(6, \cdot)\)$, \cdots ,$\(\chi_{475}(461, \cdot)\)
|
$475$ |
$475$ |
$45$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
✓ |
✓ |
| 475.bd |
\(\chi_{475}(83, \cdot)\)$, \cdots ,$\(\chi_{475}(467, \cdot)\)
|
$475$ |
$475$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
✓ |
✓ |
| 475.be |
\(\chi_{475}(8, \cdot)\)$, \cdots ,$\(\chi_{475}(392, \cdot)\)
|
$475$ |
$475$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
✓ |
✓ |
| 475.bf |
\(\chi_{475}(21, \cdot)\)$, \cdots ,$\(\chi_{475}(471, \cdot)\)
|
$475$ |
$475$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
✓ |
✓ |
| 475.bg |
\(\chi_{475}(4, \cdot)\)$, \cdots ,$\(\chi_{475}(454, \cdot)\)
|
$475$ |
$475$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
✓ |
✓ |
| 475.bh |
\(\chi_{475}(14, \cdot)\)$, \cdots ,$\(\chi_{475}(469, \cdot)\)
|
$475$ |
$475$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
✓ |
✓ |
| 475.bi |
\(\chi_{475}(2, \cdot)\)$, \cdots ,$\(\chi_{475}(458, \cdot)\)
|
$475$ |
$475$ |
$180$ |
not computed |
$\Q(\zeta_{180})$ |
even |
|
✓ |
✓ |
| 475.bj |
\(\chi_{475}(17, \cdot)\)$, \cdots ,$\(\chi_{475}(473, \cdot)\)
|
$475$ |
$475$ |
$180$ |
not computed |
$\Q(\zeta_{180})$ |
odd |
|
✓ |
✓ |
