Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
915.a |
\(\chi_{915}(1, \cdot)\)
|
$915$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
915.b |
\(\chi_{915}(121, \cdot)\)
|
$915$ |
$61$ |
$2$ |
\(\Q(\sqrt{61}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
915.c |
\(\chi_{915}(184, \cdot)\)
|
$915$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
915.d |
\(\chi_{915}(611, \cdot)\)
|
$915$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
915.e |
\(\chi_{915}(914, \cdot)\)
|
$915$ |
$915$ |
$2$ |
\(\Q(\sqrt{-915}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
915.f |
\(\chi_{915}(794, \cdot)\)
|
$915$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
915.g |
\(\chi_{915}(731, \cdot)\)
|
$915$ |
$183$ |
$2$ |
\(\Q(\sqrt{-183}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
915.h |
\(\chi_{915}(304, \cdot)\)
|
$915$ |
$305$ |
$2$ |
\(\Q(\sqrt{305}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
915.i |
\(\chi_{915}(196, \cdot)\)$,$ \(\chi_{915}(901, \cdot)\)
|
$915$ |
$61$ |
$3$ |
3.3.3721.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
915.j |
\(\chi_{915}(538, \cdot)\)$,$ \(\chi_{915}(682, \cdot)\)
|
$915$ |
$305$ |
$4$ |
4.4.28372625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
915.k |
\(\chi_{915}(743, \cdot)\)$,$ \(\chi_{915}(782, \cdot)\)
|
$915$ |
$915$ |
$4$ |
4.0.255353625.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
915.l |
\(\chi_{915}(487, \cdot)\)$,$ \(\chi_{915}(853, \cdot)\)
|
$915$ |
$305$ |
$4$ |
4.0.465125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
915.m |
\(\chi_{915}(62, \cdot)\)$,$ \(\chi_{915}(428, \cdot)\)
|
$915$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
915.n |
\(\chi_{915}(499, \cdot)\)$,$ \(\chi_{915}(904, \cdot)\)
|
$915$ |
$305$ |
$4$ |
4.0.5674525.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
915.o |
\(\chi_{915}(194, \cdot)\)$,$ \(\chi_{915}(599, \cdot)\)
|
$915$ |
$915$ |
$4$ |
4.4.51070725.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
915.p |
\(\chi_{915}(316, \cdot)\)$,$ \(\chi_{915}(721, \cdot)\)
|
$915$ |
$61$ |
$4$ |
4.0.226981.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
915.q |
\(\chi_{915}(11, \cdot)\)$,$ \(\chi_{915}(416, \cdot)\)
|
$915$ |
$183$ |
$4$ |
4.4.2042829.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
915.r |
\(\chi_{915}(367, \cdot)\)$,$ \(\chi_{915}(733, \cdot)\)
|
$915$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
915.s |
\(\chi_{915}(182, \cdot)\)$,$ \(\chi_{915}(548, \cdot)\)
|
$915$ |
$915$ |
$4$ |
4.4.4186125.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
915.t |
\(\chi_{915}(233, \cdot)\)$,$ \(\chi_{915}(377, \cdot)\)
|
$915$ |
$915$ |
$4$ |
4.0.255353625.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
915.u |
\(\chi_{915}(133, \cdot)\)$,$ \(\chi_{915}(172, \cdot)\)
|
$915$ |
$305$ |
$4$ |
4.4.28372625.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
915.v |
\(\chi_{915}(241, \cdot)\)$, \cdots ,$\(\chi_{915}(766, \cdot)\)
|
$915$ |
$61$ |
$5$ |
5.5.13845841.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
915.w |
\(\chi_{915}(109, \cdot)\)$,$ \(\chi_{915}(319, \cdot)\)
|
$915$ |
$305$ |
$6$ |
6.6.105574537625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
915.x |
\(\chi_{915}(74, \cdot)\)$,$ \(\chi_{915}(779, \cdot)\)
|
$915$ |
$915$ |
$6$ |
6.0.46729713375.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
915.y |
\(\chi_{915}(536, \cdot)\)$,$ \(\chi_{915}(746, \cdot)\)
|
$915$ |
$183$ |
$6$ |
6.0.22804100127.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
915.z |
\(\chi_{915}(596, \cdot)\)$,$ \(\chi_{915}(806, \cdot)\)
|
$915$ |
$183$ |
$6$ |
6.0.373837707.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
915.ba |
\(\chi_{915}(14, \cdot)\)$,$ \(\chi_{915}(719, \cdot)\)
|
$915$ |
$915$ |
$6$ |
6.0.2850512515875.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
915.bb |
\(\chi_{915}(136, \cdot)\)$,$ \(\chi_{915}(841, \cdot)\)
|
$915$ |
$61$ |
$6$ |
6.6.844596301.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
915.bc |
\(\chi_{915}(169, \cdot)\)$,$ \(\chi_{915}(379, \cdot)\)
|
$915$ |
$305$ |
$6$ |
6.6.1730730125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
915.bd |
\(\chi_{915}(64, \cdot)\)$, \cdots ,$\(\chi_{915}(784, \cdot)\)
|
$915$ |
$305$ |
$10$ |
10.10.36544206540106690625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
915.be |
\(\chi_{915}(119, \cdot)\)$, \cdots ,$\(\chi_{915}(644, \cdot)\)
|
$915$ |
$915$ |
$10$ |
10.0.145577740807310259375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
915.bf |
\(\chi_{915}(41, \cdot)\)$, \cdots ,$\(\chi_{915}(881, \cdot)\)
|
$915$ |
$183$ |
$10$ |
10.0.2841677500558696263.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
915.bg |
\(\chi_{915}(131, \cdot)\)$, \cdots ,$\(\chi_{915}(851, \cdot)\)
|
$915$ |
$183$ |
$10$ |
10.0.46584877058339283.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
915.bh |
\(\chi_{915}(149, \cdot)\)$, \cdots ,$\(\chi_{915}(674, \cdot)\)
|
$915$ |
$915$ |
$10$ |
10.0.8880242189245925821875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
915.bi |
\(\chi_{915}(271, \cdot)\)$, \cdots ,$\(\chi_{915}(796, \cdot)\)
|
$915$ |
$61$ |
$10$ |
10.10.11694146092834141.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
915.bj |
\(\chi_{915}(34, \cdot)\)$, \cdots ,$\(\chi_{915}(874, \cdot)\)
|
$915$ |
$305$ |
$10$ |
10.10.599085353116503125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
915.bk |
\(\chi_{915}(337, \cdot)\)$, \cdots ,$\(\chi_{915}(883, \cdot)\)
|
$915$ |
$305$ |
$12$ |
12.12.84988120334835622384765625.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
915.bl |
\(\chi_{915}(212, \cdot)\)$, \cdots ,$\(\chi_{915}(833, \cdot)\)
|
$915$ |
$915$ |
$12$ |
12.0.61956339724095168718494140625.2 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
915.bm |
\(\chi_{915}(47, \cdot)\)$, \cdots ,$\(\chi_{915}(623, \cdot)\)
|
$915$ |
$915$ |
$12$ |
12.12.272958264013706736328125.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
915.bn |
\(\chi_{915}(292, \cdot)\)$, \cdots ,$\(\chi_{915}(868, \cdot)\)
|
$915$ |
$305$ |
$12$ |
12.0.1393247874341567580078125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
915.bo |
\(\chi_{915}(101, \cdot)\)$, \cdots ,$\(\chi_{915}(761, \cdot)\)
|
$915$ |
$183$ |
$12$ |
12.12.31721645938736726383869.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
915.bp |
\(\chi_{915}(151, \cdot)\)$, \cdots ,$\(\chi_{915}(886, \cdot)\)
|
$915$ |
$61$ |
$12$ |
12.0.43513917611435838661.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
915.bq |
\(\chi_{915}(29, \cdot)\)$, \cdots ,$\(\chi_{915}(764, \cdot)\)
|
$915$ |
$915$ |
$12$ |
12.12.495650717792761349747953125.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
915.br |
\(\chi_{915}(154, \cdot)\)$, \cdots ,$\(\chi_{915}(814, \cdot)\)
|
$915$ |
$305$ |
$12$ |
12.0.679904962678684979078125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
915.bs |
\(\chi_{915}(197, \cdot)\)$, \cdots ,$\(\chi_{915}(902, \cdot)\)
|
$915$ |
$915$ |
$12$ |
12.12.1015677700395002765876953125.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
915.bt |
\(\chi_{915}(13, \cdot)\)$, \cdots ,$\(\chi_{915}(718, \cdot)\)
|
$915$ |
$305$ |
$12$ |
12.0.374428345697814453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
915.bu |
\(\chi_{915}(32, \cdot)\)$, \cdots ,$\(\chi_{915}(578, \cdot)\)
|
$915$ |
$915$ |
$12$ |
12.0.61956339724095168718494140625.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
915.bv |
\(\chi_{915}(82, \cdot)\)$, \cdots ,$\(\chi_{915}(703, \cdot)\)
|
$915$ |
$305$ |
$12$ |
12.12.84988120334835622384765625.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
915.bw |
\(\chi_{915}(16, \cdot)\)$, \cdots ,$\(\chi_{915}(571, \cdot)\)
|
$915$ |
$61$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
915.bx |
\(\chi_{915}(28, \cdot)\)$, \cdots ,$\(\chi_{915}(907, \cdot)\)
|
$915$ |
$305$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |