| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 373527.a |
\(\chi_{373527}(1, \cdot)\)
|
$373527$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 373527.b |
\(\chi_{373527}(166013, \cdot)\)
|
$373527$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 373527.c |
\(\chi_{373527}(207514, \cdot)\)
|
$373527$ |
$77$ |
$2$ |
\(\Q(\sqrt{77}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 373527.d |
\(\chi_{373527}(120394, \cdot)\)
|
$373527$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 373527.e |
\(\chi_{373527}(253133, \cdot)\)
|
$373527$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 373527.f |
\(\chi_{373527}(87121, \cdot)\)
|
$373527$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 373527.g |
\(\chi_{373527}(286406, \cdot)\)
|
$373527$ |
$33$ |
$2$ |
\(\Q(\sqrt{33}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 373527.h |
\(\chi_{373527}(373526, \cdot)\)
|
$373527$ |
$231$ |
$2$ |
\(\Q(\sqrt{-231}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 373527.i |
\(\chi_{373527}(6535, \cdot)\)$,$ \(\chi_{373527}(124147, \cdot)\)
|
$373527$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.j |
\(\chi_{373527}(124510, \cdot)\)$,$ \(\chi_{373527}(249019, \cdot)\)
|
$373527$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 373527.k |
\(\chi_{373527}(131044, \cdot)\)$,$ \(\chi_{373527}(373165, \cdot)\)
|
$373527$ |
$63$ |
$3$ |
3.3.3969.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.l |
\(\chi_{373527}(248656, \cdot)\)$,$ \(\chi_{373527}(255553, \cdot)\)
|
$373527$ |
$63$ |
$3$ |
3.3.3969.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.m |
\(\chi_{373527}(40132, \cdot)\)$, \cdots ,$\(\chi_{373527}(302527, \cdot)\)
|
$373527$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 373527.n |
\(\chi_{373527}(4478, \cdot)\)$,$ \(\chi_{373527}(371108, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.6.330812181.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.o |
\(\chi_{373527}(2419, \cdot)\)$,$ \(\chi_{373527}(369049, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.0.20967191091.4 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.p |
\(\chi_{373527}(76471, \cdot)\)$,$ \(\chi_{373527}(207877, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.6.146770337637.3 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.q |
\(\chi_{373527}(165650, \cdot)\)$,$ \(\chi_{373527}(297056, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.0.47258883.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.r |
\(\chi_{373527}(161534, \cdot)\)$,$ \(\chi_{373527}(168431, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.6.62901573273.3 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.s |
\(\chi_{373527}(205096, \cdot)\)$,$ \(\chi_{373527}(211993, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.0.110270727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.t |
\(\chi_{373527}(249380, \cdot)\)$,$ \(\chi_{373527}(366992, \cdot)\)
|
$373527$ |
$231$ |
$6$ |
6.0.603993159.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.u |
\(\chi_{373527}(124508, \cdot)\)$,$ \(\chi_{373527}(249017, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.0.8985939039.8 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 373527.v |
\(\chi_{373527}(211630, \cdot)\)$,$ \(\chi_{373527}(336139, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.0.2250423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 373527.w |
\(\chi_{373527}(37388, \cdot)\)$,$ \(\chi_{373527}(161897, \cdot)\)
|
$373527$ |
$99$ |
$6$ |
6.6.26198073.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 373527.x |
\(\chi_{373527}(37025, \cdot)\)$,$ \(\chi_{373527}(292940, \cdot)\)
|
$373527$ |
$231$ |
$6$ |
6.6.86284737.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.y |
\(\chi_{373527}(80587, \cdot)\)$,$ \(\chi_{373527}(336502, \cdot)\)
|
$373527$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.z |
\(\chi_{373527}(362, \cdot)\)$,$ \(\chi_{373527}(242483, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.0.440311012911.4 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.ba |
\(\chi_{373527}(325489, \cdot)\)$,$ \(\chi_{373527}(332386, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.6.146770337637.4 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.bb |
\(\chi_{373527}(41141, \cdot)\)$,$ \(\chi_{373527}(48038, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.0.47258883.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.bc |
\(\chi_{373527}(244903, \cdot)\)$,$ \(\chi_{373527}(369412, \cdot)\)
|
$373527$ |
$99$ |
$6$ |
6.0.8732691.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 373527.bd |
\(\chi_{373527}(4115, \cdot)\)$,$ \(\chi_{373527}(128624, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.6.6751269.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 373527.be |
\(\chi_{373527}(128987, \cdot)\)$,$ \(\chi_{373527}(246599, \cdot)\)
|
$373527$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.bf |
\(\chi_{373527}(126928, \cdot)\)$,$ \(\chi_{373527}(244540, \cdot)\)
|
$373527$ |
$77$ |
$6$ |
6.0.3195731.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.bg |
\(\chi_{373527}(83368, \cdot)\)$,$ \(\chi_{373527}(200980, \cdot)\)
|
$373527$ |
$77$ |
$6$ |
6.6.22370117.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.bh |
\(\chi_{373527}(172547, \cdot)\)$,$ \(\chi_{373527}(290159, \cdot)\)
|
$373527$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.bi |
\(\chi_{373527}(41504, \cdot)\)$,$ \(\chi_{373527}(290522, \cdot)\)
|
$373527$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 373527.bj |
\(\chi_{373527}(83005, \cdot)\)$,$ \(\chi_{373527}(332023, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.6.2995313013.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 373527.bk |
\(\chi_{373527}(122090, \cdot)\)$,$ \(\chi_{373527}(253496, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.6.330812181.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.bl |
\(\chi_{373527}(120031, \cdot)\)$,$ \(\chi_{373527}(251437, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.0.20967191091.5 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.bm |
\(\chi_{373527}(117974, \cdot)\)$,$ \(\chi_{373527}(124871, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.0.440311012911.5 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.bn |
\(\chi_{373527}(43922, \cdot)\)$,$ \(\chi_{373527}(286043, \cdot)\)
|
$373527$ |
$693$ |
$6$ |
6.6.62901573273.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 373527.bo |
\(\chi_{373527}(87484, \cdot)\)$,$ \(\chi_{373527}(329605, \cdot)\)
|
$373527$ |
$63$ |
$6$ |
6.0.110270727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 373527.bp |
\(\chi_{373527}(53362, \cdot)\)$, \cdots ,$\(\chi_{373527}(320167, \cdot)\)
|
$373527$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
|
| 373527.bq |
\(\chi_{373527}(71000, \cdot)\)$, \cdots ,$\(\chi_{373527}(333395, \cdot)\)
|
$373527$ |
$231$ |
$10$ |
10.0.9630096522760791.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 373527.br |
\(\chi_{373527}(20924, \cdot)\)$, \cdots ,$\(\chi_{373527}(357407, \cdot)\)
|
$373527$ |
$33$ |
$10$ |
\(\Q(\zeta_{33})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 373527.bs |
\(\chi_{373527}(16120, \cdot)\)$, \cdots ,$\(\chi_{373527}(352603, \cdot)\)
|
$373527$ |
$77$ |
$10$ |
10.0.3602729712967.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 373527.bt |
\(\chi_{373527}(132740, \cdot)\)$, \cdots ,$\(\chi_{373527}(293264, \cdot)\)
|
$373527$ |
$231$ |
$10$ |
10.10.875463320250981.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 373527.bu |
\(\chi_{373527}(80263, \cdot)\)$, \cdots ,$\(\chi_{373527}(240787, \cdot)\)
|
$373527$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 373527.bv |
\(\chi_{373527}(167383, \cdot)\)$, \cdots ,$\(\chi_{373527}(327907, \cdot)\)
|
$373527$ |
$77$ |
$10$ |
10.10.39630026842637.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 373527.bw |
\(\chi_{373527}(45620, \cdot)\)$, \cdots ,$\(\chi_{373527}(206144, \cdot)\)
|
$373527$ |
$33$ |
$10$ |
10.0.52089208083.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 373527.bx |
\(\chi_{373527}(33958, \cdot)\)$, \cdots ,$\(\chi_{373527}(339571, \cdot)\)
|
$373527$ |
$121$ |
$11$ |
11.11.672749994932560009201.1 |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
