Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
338130.a |
\(\chi_{338130}(1, \cdot)\)
|
$338130$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
338130.b |
\(\chi_{338130}(338129, \cdot)\)
|
$338130$ |
$3315$ |
$2$ |
\(\Q(\sqrt{-3315}) \) |
\(\Q\) |
odd |
✓ |
|
|
338130.c |
\(\chi_{338130}(130051, \cdot)\)
|
$338130$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
338130.d |
\(\chi_{338130}(193051, \cdot)\)
|
$338130$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
|
338130.e |
\(\chi_{338130}(15029, \cdot)\)
|
$338130$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
338130.f |
\(\chi_{338130}(280331, \cdot)\)
|
$338130$ |
$39$ |
$2$ |
\(\Q(\sqrt{-39}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
338130.g |
\(\chi_{338130}(187849, \cdot)\)
|
$338130$ |
$1105$ |
$2$ |
\(\Q(\sqrt{1105}) \) |
\(\Q\) |
even |
✓ |
|
|
338130.h |
\(\chi_{338130}(202879, \cdot)\)
|
$338130$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
338130.i |
\(\chi_{338130}(5201, \cdot)\)
|
$338130$ |
$51$ |
$2$ |
\(\Q(\sqrt{-51}) \) |
\(\Q\) |
odd |
✓ |
|
|
338130.j |
\(\chi_{338130}(332929, \cdot)\)
|
$338130$ |
$65$ |
$2$ |
\(\Q(\sqrt{65}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
338130.k |
\(\chi_{338130}(135251, \cdot)\)
|
$338130$ |
$663$ |
$2$ |
\(\Q(\sqrt{-663}) \) |
\(\Q\) |
odd |
✓ |
|
|
338130.l |
\(\chi_{338130}(150281, \cdot)\)
|
$338130$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
338130.m |
\(\chi_{338130}(57799, \cdot)\)
|
$338130$ |
$85$ |
$2$ |
\(\Q(\sqrt{85}) \) |
\(\Q\) |
even |
✓ |
|
|
338130.n |
\(\chi_{338130}(323101, \cdot)\)
|
$338130$ |
$221$ |
$2$ |
\(\Q(\sqrt{221}) \) |
\(\Q\) |
even |
✓ |
|
|
338130.o |
\(\chi_{338130}(145079, \cdot)\)
|
$338130$ |
$195$ |
$2$ |
\(\Q(\sqrt{-195}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
338130.p |
\(\chi_{338130}(208079, \cdot)\)
|
$338130$ |
$255$ |
$2$ |
\(\Q(\sqrt{-255}) \) |
\(\Q\) |
odd |
✓ |
|
|
338130.q |
\(\chi_{338130}(156061, \cdot)\)$,$ \(\chi_{338130}(208081, \cdot)\)
|
$338130$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
338130.r |
\(\chi_{338130}(112711, \cdot)\)$,$ \(\chi_{338130}(225421, \cdot)\)
|
$338130$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
338130.s |
\(\chi_{338130}(95371, \cdot)\)$,$ \(\chi_{338130}(268771, \cdot)\)
|
$338130$ |
$117$ |
$3$ |
3.3.13689.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
338130.t |
\(\chi_{338130}(43351, \cdot)\)$,$ \(\chi_{338130}(320791, \cdot)\)
|
$338130$ |
$117$ |
$3$ |
3.3.13689.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
338130.u |
\(\chi_{338130}(56971, \cdot)\)$,$ \(\chi_{338130}(266131, \cdot)\)
|
$338130$ |
$221$ |
$4$ |
4.0.10793861.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.v |
\(\chi_{338130}(45989, \cdot)\)$,$ \(\chi_{338130}(307169, \cdot)\)
|
$338130$ |
$3315$ |
$4$ |
4.4.2428618725.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.w |
\(\chi_{338130}(73657, \cdot)\)$,$ \(\chi_{338130}(244243, \cdot)\)
|
$338130$ |
$1105$ |
$4$ |
4.0.103787125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.x |
\(\chi_{338130}(56393, \cdot)\)$,$ \(\chi_{338130}(223937, \cdot)\)
|
$338130$ |
$3315$ |
$4$ |
4.4.934084125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.y |
\(\chi_{338130}(124847, \cdot)\)$,$ \(\chi_{338130}(218483, \cdot)\)
|
$338130$ |
$3315$ |
$4$ |
4.0.714299625.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.z |
\(\chi_{338130}(145657, \cdot)\)$,$ \(\chi_{338130}(187273, \cdot)\)
|
$338130$ |
$65$ |
$4$ |
4.4.274625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
338130.ba |
\(\chi_{338130}(68203, \cdot)\)$,$ \(\chi_{338130}(312697, \cdot)\)
|
$338130$ |
$1105$ |
$4$ |
4.4.79366625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bb |
\(\chi_{338130}(295937, \cdot)\)$,$ \(\chi_{338130}(337553, \cdot)\)
|
$338130$ |
$195$ |
$4$ |
4.0.2471625.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
338130.bc |
\(\chi_{338130}(161513, \cdot)\)$,$ \(\chi_{338130}(196847, \cdot)\)
|
$338130$ |
$255$ |
$4$ |
4.4.5527125.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bd |
\(\chi_{338130}(11233, \cdot)\)$,$ \(\chi_{338130}(46567, \cdot)\)
|
$338130$ |
$85$ |
$4$ |
4.0.614125.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.be |
\(\chi_{338130}(78281, \cdot)\)$,$ \(\chi_{338130}(207251, \cdot)\)
|
$338130$ |
$663$ |
$4$ |
4.4.97144749.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bf |
\(\chi_{338130}(156889, \cdot)\)$,$ \(\chi_{338130}(233839, \cdot)\)
|
$338130$ |
$1105$ |
$4$ |
4.0.269846525.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bg |
\(\chi_{338130}(260677, \cdot)\)$,$ \(\chi_{338130}(328303, \cdot)\)
|
$338130$ |
$85$ |
$4$ |
4.0.36125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bh |
\(\chi_{338130}(217907, \cdot)\)$,$ \(\chi_{338130}(285533, \cdot)\)
|
$338130$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
338130.bi |
\(\chi_{338130}(63253, \cdot)\)$,$ \(\chi_{338130}(124597, \cdot)\)
|
$338130$ |
$1105$ |
$4$ |
4.4.1349232625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bj |
\(\chi_{338130}(171917, \cdot)\)$,$ \(\chi_{338130}(316493, \cdot)\)
|
$338130$ |
$3315$ |
$4$ |
4.0.12143093625.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bk |
\(\chi_{338130}(192223, \cdot)\)$,$ \(\chi_{338130}(333757, \cdot)\)
|
$338130$ |
$1105$ |
$4$ |
4.4.1349232625.3 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bl |
\(\chi_{338130}(239543, \cdot)\)$,$ \(\chi_{338130}(248867, \cdot)\)
|
$338130$ |
$3315$ |
$4$ |
4.0.12143093625.4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bm |
\(\chi_{338130}(197677, \cdot)\)$,$ \(\chi_{338130}(265303, \cdot)\)
|
$338130$ |
$65$ |
$4$ |
4.0.21125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
338130.bn |
\(\chi_{338130}(202877, \cdot)\)$,$ \(\chi_{338130}(270503, \cdot)\)
|
$338130$ |
$3315$ |
$4$ |
4.4.54946125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bo |
\(\chi_{338130}(26261, \cdot)\)$,$ \(\chi_{338130}(129221, \cdot)\)
|
$338130$ |
$51$ |
$4$ |
4.0.44217.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bp |
\(\chi_{338130}(214111, \cdot)\)$,$ \(\chi_{338130}(317071, \cdot)\)
|
$338130$ |
$17$ |
$4$ |
4.4.4913.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bq |
\(\chi_{338130}(78859, \cdot)\)$,$ \(\chi_{338130}(181819, \cdot)\)
|
$338130$ |
$85$ |
$4$ |
4.4.122825.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.br |
\(\chi_{338130}(229139, \cdot)\)$,$ \(\chi_{338130}(332099, \cdot)\)
|
$338130$ |
$255$ |
$4$ |
4.0.1105425.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bs |
\(\chi_{338130}(109819, \cdot)\)$,$ \(\chi_{338130}(135829, \cdot)\)
|
$338130$ |
$1105$ |
$4$ |
4.0.15873325.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
338130.bt |
\(\chi_{338130}(67049, \cdot)\)$,$ \(\chi_{338130}(93059, \cdot)\)
|
$338130$ |
$195$ |
$4$ |
4.4.494325.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
338130.bu |
\(\chi_{338130}(57221, \cdot)\)$,$ \(\chi_{338130}(83231, \cdot)\)
|
$338130$ |
$663$ |
$4$ |
4.4.5714397.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
338130.bv |
\(\chi_{338130}(52021, \cdot)\)$,$ \(\chi_{338130}(78031, \cdot)\)
|
$338130$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
338130.bw |
\(\chi_{338130}(202301, \cdot)\)$,$ \(\chi_{338130}(228311, \cdot)\)
|
$338130$ |
$39$ |
$4$ |
4.4.19773.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
338130.bx |
\(\chi_{338130}(245071, \cdot)\)$,$ \(\chi_{338130}(271081, \cdot)\)
|
$338130$ |
$221$ |
$4$ |
4.0.634933.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|