| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 675.a |
\(\chi_{675}(1, \cdot)\)
|
$675$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 675.b |
\(\chi_{675}(649, \cdot)\)
|
$675$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 675.c |
\(\chi_{675}(26, \cdot)\)
|
$675$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 675.d |
\(\chi_{675}(674, \cdot)\)
|
$675$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 675.e |
\(\chi_{675}(226, \cdot)\)$,$ \(\chi_{675}(451, \cdot)\)
|
$675$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 675.f |
\(\chi_{675}(107, \cdot)\)$,$ \(\chi_{675}(593, \cdot)\)
|
$675$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 675.g |
\(\chi_{675}(82, \cdot)\)$,$ \(\chi_{675}(568, \cdot)\)
|
$675$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 675.h |
\(\chi_{675}(136, \cdot)\)$, \cdots ,$\(\chi_{675}(541, \cdot)\)
|
$675$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 675.i |
\(\chi_{675}(224, \cdot)\)$,$ \(\chi_{675}(449, \cdot)\)
|
$675$ |
$45$ |
$6$ |
6.0.2460375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 675.j |
\(\chi_{675}(251, \cdot)\)$,$ \(\chi_{675}(476, \cdot)\)
|
$675$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 675.k |
\(\chi_{675}(199, \cdot)\)$,$ \(\chi_{675}(424, \cdot)\)
|
$675$ |
$45$ |
$6$ |
6.6.820125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 675.l |
\(\chi_{675}(76, \cdot)\)$, \cdots ,$\(\chi_{675}(601, \cdot)\)
|
$675$ |
$27$ |
$9$ |
\(\Q(\zeta_{27})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 675.m |
\(\chi_{675}(134, \cdot)\)$, \cdots ,$\(\chi_{675}(539, \cdot)\)
|
$675$ |
$75$ |
$10$ |
10.0.185394287109375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 675.n |
\(\chi_{675}(109, \cdot)\)$, \cdots ,$\(\chi_{675}(514, \cdot)\)
|
$675$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 675.o |
\(\chi_{675}(161, \cdot)\)$, \cdots ,$\(\chi_{675}(566, \cdot)\)
|
$675$ |
$75$ |
$10$ |
10.0.37078857421875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 675.p |
\(\chi_{675}(118, \cdot)\)$, \cdots ,$\(\chi_{675}(532, \cdot)\)
|
$675$ |
$45$ |
$12$ |
12.0.84075626953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 675.q |
\(\chi_{675}(143, \cdot)\)$, \cdots ,$\(\chi_{675}(557, \cdot)\)
|
$675$ |
$45$ |
$12$ |
\(\Q(\zeta_{45})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 675.r |
\(\chi_{675}(46, \cdot)\)$, \cdots ,$\(\chi_{675}(631, \cdot)\)
|
$675$ |
$225$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 675.s |
\(\chi_{675}(74, \cdot)\)$, \cdots ,$\(\chi_{675}(599, \cdot)\)
|
$675$ |
$135$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 675.t |
\(\chi_{675}(101, \cdot)\)$, \cdots ,$\(\chi_{675}(626, \cdot)\)
|
$675$ |
$27$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 675.u |
\(\chi_{675}(49, \cdot)\)$, \cdots ,$\(\chi_{675}(574, \cdot)\)
|
$675$ |
$135$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 675.v |
\(\chi_{675}(28, \cdot)\)$, \cdots ,$\(\chi_{675}(622, \cdot)\)
|
$675$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 675.w |
\(\chi_{675}(53, \cdot)\)$, \cdots ,$\(\chi_{675}(647, \cdot)\)
|
$675$ |
$75$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 675.x |
\(\chi_{675}(71, \cdot)\)$, \cdots ,$\(\chi_{675}(656, \cdot)\)
|
$675$ |
$225$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 675.y |
\(\chi_{675}(19, \cdot)\)$, \cdots ,$\(\chi_{675}(604, \cdot)\)
|
$675$ |
$225$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 675.z |
\(\chi_{675}(44, \cdot)\)$, \cdots ,$\(\chi_{675}(629, \cdot)\)
|
$675$ |
$225$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 675.ba |
\(\chi_{675}(32, \cdot)\)$, \cdots ,$\(\chi_{675}(668, \cdot)\)
|
$675$ |
$135$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
✓ |
| 675.bb |
\(\chi_{675}(7, \cdot)\)$, \cdots ,$\(\chi_{675}(643, \cdot)\)
|
$675$ |
$135$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
| 675.bc |
\(\chi_{675}(16, \cdot)\)$, \cdots ,$\(\chi_{675}(661, \cdot)\)
|
$675$ |
$675$ |
$45$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
✓ |
✓ |
| 675.bd |
\(\chi_{675}(8, \cdot)\)$, \cdots ,$\(\chi_{675}(638, \cdot)\)
|
$675$ |
$225$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
|
| 675.be |
\(\chi_{675}(37, \cdot)\)$, \cdots ,$\(\chi_{675}(667, \cdot)\)
|
$675$ |
$225$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
|
| 675.bf |
\(\chi_{675}(11, \cdot)\)$, \cdots ,$\(\chi_{675}(671, \cdot)\)
|
$675$ |
$675$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
✓ |
✓ |
| 675.bg |
\(\chi_{675}(4, \cdot)\)$, \cdots ,$\(\chi_{675}(664, \cdot)\)
|
$675$ |
$675$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
even |
|
✓ |
✓ |
| 675.bh |
\(\chi_{675}(14, \cdot)\)$, \cdots ,$\(\chi_{675}(659, \cdot)\)
|
$675$ |
$675$ |
$90$ |
not computed |
$\Q(\zeta_{45})$ |
odd |
|
✓ |
✓ |
| 675.bi |
\(\chi_{675}(2, \cdot)\)$, \cdots ,$\(\chi_{675}(662, \cdot)\)
|
$675$ |
$675$ |
$180$ |
not computed |
$\Q(\zeta_{180})$ |
even |
|
✓ |
✓ |
| 675.bj |
\(\chi_{675}(13, \cdot)\)$, \cdots ,$\(\chi_{675}(673, \cdot)\)
|
$675$ |
$675$ |
$180$ |
not computed |
$\Q(\zeta_{180})$ |
odd |
|
✓ |
✓ |
