| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 4225.a |
\(\chi_{4225}(1, \cdot)\)
|
$4225$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4225.b |
\(\chi_{4225}(2874, \cdot)\)
|
$4225$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4225.c |
\(\chi_{4225}(1351, \cdot)\)
|
$4225$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4225.d |
\(\chi_{4225}(4224, \cdot)\)
|
$4225$ |
$65$ |
$2$ |
\(\Q(\sqrt{65}) \) |
\(\Q\) |
even |
✓ |
|
|
| 4225.e |
\(\chi_{4225}(2726, \cdot)\)$,$ \(\chi_{4225}(3526, \cdot)\)
|
$4225$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 4225.f |
\(\chi_{4225}(1282, \cdot)\)$,$ \(\chi_{4225}(2943, \cdot)\)
|
$4225$ |
$65$ |
$4$ |
4.4.274625.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4225.g |
\(\chi_{4225}(99, \cdot)\)$,$ \(\chi_{4225}(2774, \cdot)\)
|
$4225$ |
$65$ |
$4$ |
4.0.54925.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 4225.h |
\(\chi_{4225}(168, \cdot)\)$,$ \(\chi_{4225}(1182, \cdot)\)
|
$4225$ |
$65$ |
$4$ |
4.0.21125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 4225.i |
\(\chi_{4225}(3043, \cdot)\)$,$ \(\chi_{4225}(4057, \cdot)\)
|
$4225$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 4225.j |
\(\chi_{4225}(1451, \cdot)\)$,$ \(\chi_{4225}(4126, \cdot)\)
|
$4225$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 4225.k |
\(\chi_{4225}(268, \cdot)\)$,$ \(\chi_{4225}(3957, \cdot)\)
|
$4225$ |
$65$ |
$4$ |
4.4.274625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 4225.l |
\(\chi_{4225}(846, \cdot)\)$, \cdots ,$\(\chi_{4225}(3381, \cdot)\)
|
$4225$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 4225.m |
\(\chi_{4225}(699, \cdot)\)$,$ \(\chi_{4225}(1499, \cdot)\)
|
$4225$ |
$65$ |
$6$ |
6.6.46411625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 4225.n |
\(\chi_{4225}(2051, \cdot)\)$,$ \(\chi_{4225}(2851, \cdot)\)
|
$4225$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 4225.o |
\(\chi_{4225}(1374, \cdot)\)$,$ \(\chi_{4225}(2174, \cdot)\)
|
$4225$ |
$65$ |
$6$ |
6.6.3570125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 4225.p |
\(\chi_{4225}(844, \cdot)\)$, \cdots ,$\(\chi_{4225}(3379, \cdot)\)
|
$4225$ |
$325$ |
$10$ |
10.10.283274078369140625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 4225.q |
\(\chi_{4225}(506, \cdot)\)$, \cdots ,$\(\chi_{4225}(3886, \cdot)\)
|
$4225$ |
$325$ |
$10$ |
10.10.56654815673828125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 4225.r |
\(\chi_{4225}(339, \cdot)\)$, \cdots ,$\(\chi_{4225}(3719, \cdot)\)
|
$4225$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 4225.s |
\(\chi_{4225}(357, \cdot)\)$, \cdots ,$\(\chi_{4225}(3868, \cdot)\)
|
$4225$ |
$65$ |
$12$ |
12.12.3500313269603515625.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 4225.t |
\(\chi_{4225}(526, \cdot)\)$, \cdots ,$\(\chi_{4225}(3976, \cdot)\)
|
$4225$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 4225.u |
\(\chi_{4225}(1543, \cdot)\)$, \cdots ,$\(\chi_{4225}(3357, \cdot)\)
|
$4225$ |
$65$ |
$12$ |
12.0.1593224064453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 4225.v |
\(\chi_{4225}(868, \cdot)\)$, \cdots ,$\(\chi_{4225}(2682, \cdot)\)
|
$4225$ |
$65$ |
$12$ |
12.0.269254866892578125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 4225.w |
\(\chi_{4225}(249, \cdot)\)$, \cdots ,$\(\chi_{4225}(3699, \cdot)\)
|
$4225$ |
$65$ |
$12$ |
12.0.28002506156828125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 4225.x |
\(\chi_{4225}(418, \cdot)\)$, \cdots ,$\(\chi_{4225}(3807, \cdot)\)
|
$4225$ |
$65$ |
$12$ |
12.12.3500313269603515625.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 4225.y |
\(\chi_{4225}(326, \cdot)\)$, \cdots ,$\(\chi_{4225}(3901, \cdot)\)
|
$4225$ |
$169$ |
$13$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
✓ |
| 4225.z |
\(\chi_{4225}(146, \cdot)\)$, \cdots ,$\(\chi_{4225}(3571, \cdot)\)
|
$4225$ |
$325$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 4225.ba |
\(\chi_{4225}(577, \cdot)\)$, \cdots ,$\(\chi_{4225}(3648, \cdot)\)
|
$4225$ |
$325$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 4225.bb |
\(\chi_{4225}(606, \cdot)\)$, \cdots ,$\(\chi_{4225}(3986, \cdot)\)
|
$4225$ |
$325$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 4225.bc |
\(\chi_{4225}(508, \cdot)\)$, \cdots ,$\(\chi_{4225}(3888, \cdot)\)
|
$4225$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 4225.bd |
\(\chi_{4225}(337, \cdot)\)$, \cdots ,$\(\chi_{4225}(3717, \cdot)\)
|
$4225$ |
$325$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
|
| 4225.be |
\(\chi_{4225}(239, \cdot)\)$, \cdots ,$\(\chi_{4225}(3619, \cdot)\)
|
$4225$ |
$325$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 4225.bf |
\(\chi_{4225}(408, \cdot)\)$, \cdots ,$\(\chi_{4225}(3817, \cdot)\)
|
$4225$ |
$325$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 4225.bg |
\(\chi_{4225}(324, \cdot)\)$, \cdots ,$\(\chi_{4225}(3899, \cdot)\)
|
$4225$ |
$845$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
|
| 4225.bh |
\(\chi_{4225}(51, \cdot)\)$, \cdots ,$\(\chi_{4225}(3951, \cdot)\)
|
$4225$ |
$169$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
✓ |
| 4225.bi |
\(\chi_{4225}(274, \cdot)\)$, \cdots ,$\(\chi_{4225}(4174, \cdot)\)
|
$4225$ |
$845$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
|
| 4225.bj |
\(\chi_{4225}(484, \cdot)\)$, \cdots ,$\(\chi_{4225}(3909, \cdot)\)
|
$4225$ |
$325$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 4225.bk |
\(\chi_{4225}(316, \cdot)\)$, \cdots ,$\(\chi_{4225}(3741, \cdot)\)
|
$4225$ |
$325$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 4225.bl |
\(\chi_{4225}(654, \cdot)\)$, \cdots ,$\(\chi_{4225}(4079, \cdot)\)
|
$4225$ |
$325$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 4225.bm |
\(\chi_{4225}(126, \cdot)\)$, \cdots ,$\(\chi_{4225}(4176, \cdot)\)
|
$4225$ |
$169$ |
$39$ |
not computed |
$\Q(\zeta_{39})$ |
even |
|
|
✓ |
| 4225.bn |
\(\chi_{4225}(57, \cdot)\)$, \cdots ,$\(\chi_{4225}(4168, \cdot)\)
|
$4225$ |
$845$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
even |
|
|
✓ |
| 4225.bo |
\(\chi_{4225}(151, \cdot)\)$, \cdots ,$\(\chi_{4225}(4051, \cdot)\)
|
$4225$ |
$169$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
odd |
|
|
✓ |
| 4225.bp |
\(\chi_{4225}(118, \cdot)\)$, \cdots ,$\(\chi_{4225}(4018, \cdot)\)
|
$4225$ |
$845$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
odd |
|
|
✓ |
| 4225.bq |
\(\chi_{4225}(207, \cdot)\)$, \cdots ,$\(\chi_{4225}(4107, \cdot)\)
|
$4225$ |
$845$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
odd |
|
|
✓ |
| 4225.br |
\(\chi_{4225}(174, \cdot)\)$, \cdots ,$\(\chi_{4225}(4074, \cdot)\)
|
$4225$ |
$845$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
odd |
|
|
|
| 4225.bs |
\(\chi_{4225}(18, \cdot)\)$, \cdots ,$\(\chi_{4225}(4207, \cdot)\)
|
$4225$ |
$845$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
even |
|
|
✓ |
| 4225.bt |
\(\chi_{4225}(188, \cdot)\)$, \cdots ,$\(\chi_{4225}(4037, \cdot)\)
|
$4225$ |
$325$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
|
| 4225.bu |
\(\chi_{4225}(19, \cdot)\)$, \cdots ,$\(\chi_{4225}(3629, \cdot)\)
|
$4225$ |
$325$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
|
| 4225.bv |
\(\chi_{4225}(23, \cdot)\)$, \cdots ,$\(\chi_{4225}(4203, \cdot)\)
|
$4225$ |
$325$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
|
| 4225.bw |
\(\chi_{4225}(22, \cdot)\)$, \cdots ,$\(\chi_{4225}(4202, \cdot)\)
|
$4225$ |
$325$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
|
| 4225.bx |
\(\chi_{4225}(596, \cdot)\)$, \cdots ,$\(\chi_{4225}(4206, \cdot)\)
|
$4225$ |
$325$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
|
