| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 91.a |
\(\chi_{91}(1, \cdot)\)
|
$91$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 91.b |
\(\chi_{91}(90, \cdot)\)
|
$91$ |
$91$ |
$2$ |
\(\Q(\sqrt{-91}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 91.c |
\(\chi_{91}(64, \cdot)\)
|
$91$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 91.d |
\(\chi_{91}(27, \cdot)\)
|
$91$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 91.e |
\(\chi_{91}(53, \cdot)\)$,$ \(\chi_{91}(79, \cdot)\)
|
$91$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 91.f |
\(\chi_{91}(22, \cdot)\)$,$ \(\chi_{91}(29, \cdot)\)
|
$91$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 91.g |
\(\chi_{91}(9, \cdot)\)$,$ \(\chi_{91}(81, \cdot)\)
|
$91$ |
$91$ |
$3$ |
3.3.8281.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 91.h |
\(\chi_{91}(16, \cdot)\)$,$ \(\chi_{91}(74, \cdot)\)
|
$91$ |
$91$ |
$3$ |
3.3.8281.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 91.i |
\(\chi_{91}(34, \cdot)\)$,$ \(\chi_{91}(83, \cdot)\)
|
$91$ |
$91$ |
$4$ |
4.4.107653.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 91.j |
\(\chi_{91}(8, \cdot)\)$,$ \(\chi_{91}(57, \cdot)\)
|
$91$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 91.k |
\(\chi_{91}(4, \cdot)\)$,$ \(\chi_{91}(23, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.6.891474493.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 91.l |
\(\chi_{91}(17, \cdot)\)$,$ \(\chi_{91}(75, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.6240321451.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.m |
\(\chi_{91}(3, \cdot)\)$,$ \(\chi_{91}(61, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.480024727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.n |
\(\chi_{91}(48, \cdot)\)$,$ \(\chi_{91}(55, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.9796423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.o |
\(\chi_{91}(40, \cdot)\)$,$ \(\chi_{91}(66, \cdot)\)
|
$91$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 91.p |
\(\chi_{91}(10, \cdot)\)$,$ \(\chi_{91}(82, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.6240321451.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.q |
\(\chi_{91}(36, \cdot)\)$,$ \(\chi_{91}(43, \cdot)\)
|
$91$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 91.r |
\(\chi_{91}(25, \cdot)\)$,$ \(\chi_{91}(51, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.6.5274997.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 91.s |
\(\chi_{91}(12, \cdot)\)$,$ \(\chi_{91}(38, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.36924979.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.t |
\(\chi_{91}(62, \cdot)\)$,$ \(\chi_{91}(69, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.127353499.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.u |
\(\chi_{91}(30, \cdot)\)$,$ \(\chi_{91}(88, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.6.891474493.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 91.v |
\(\chi_{91}(68, \cdot)\)$,$ \(\chi_{91}(87, \cdot)\)
|
$91$ |
$91$ |
$6$ |
6.0.480024727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 91.w |
\(\chi_{91}(19, \cdot)\)$, \cdots ,$\(\chi_{91}(80, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.12.506240953553539690213.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 91.x |
\(\chi_{91}(2, \cdot)\)$, \cdots ,$\(\chi_{91}(46, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.0.10331448031704891637.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 91.y |
\(\chi_{91}(15, \cdot)\)$, \cdots ,$\(\chi_{91}(85, \cdot)\)
|
$91$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 91.z |
\(\chi_{91}(18, \cdot)\)$, \cdots ,$\(\chi_{91}(86, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.0.61132828589969773.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 91.ba |
\(\chi_{91}(45, \cdot)\)$, \cdots ,$\(\chi_{91}(89, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.12.506240953553539690213.2 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 91.bb |
\(\chi_{91}(5, \cdot)\)$, \cdots ,$\(\chi_{91}(73, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.12.2995508600908518877.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 91.bc |
\(\chi_{91}(6, \cdot)\)$, \cdots ,$\(\chi_{91}(76, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.12.210845878198059013.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 91.bd |
\(\chi_{91}(11, \cdot)\)$, \cdots ,$\(\chi_{91}(72, \cdot)\)
|
$91$ |
$91$ |
$12$ |
12.0.10331448031704891637.2 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
