Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
11.c |
\(\chi_{11}(3, \cdot)\)$, \cdots ,$\(\chi_{11}(9, \cdot)\)
|
$11$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
22.c |
\(\chi_{22}(3, \cdot)\)$, \cdots ,$\(\chi_{22}(15, \cdot)\)
|
$22$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
25.d |
\(\chi_{25}(6, \cdot)\)$, \cdots ,$\(\chi_{25}(21, \cdot)\)
|
$25$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
31.d |
\(\chi_{31}(2, \cdot)\)$, \cdots ,$\(\chi_{31}(16, \cdot)\)
|
$31$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
33.e |
\(\chi_{33}(4, \cdot)\)$, \cdots ,$\(\chi_{33}(31, \cdot)\)
|
$33$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
41.d |
\(\chi_{41}(10, \cdot)\)$, \cdots ,$\(\chi_{41}(37, \cdot)\)
|
$41$ |
$41$ |
$5$ |
5.5.2825761.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
44.e |
\(\chi_{44}(5, \cdot)\)$, \cdots ,$\(\chi_{44}(37, \cdot)\)
|
$44$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
50.d |
\(\chi_{50}(11, \cdot)\)$, \cdots ,$\(\chi_{50}(41, \cdot)\)
|
$50$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
55.g |
\(\chi_{55}(16, \cdot)\)$, \cdots ,$\(\chi_{55}(36, \cdot)\)
|
$55$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
61.e |
\(\chi_{61}(9, \cdot)\)$, \cdots ,$\(\chi_{61}(58, \cdot)\)
|
$61$ |
$61$ |
$5$ |
5.5.13845841.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
62.d |
\(\chi_{62}(33, \cdot)\)$, \cdots ,$\(\chi_{62}(47, \cdot)\)
|
$62$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
66.e |
\(\chi_{66}(25, \cdot)\)$, \cdots ,$\(\chi_{66}(49, \cdot)\)
|
$66$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
71.c |
\(\chi_{71}(5, \cdot)\)$, \cdots ,$\(\chi_{71}(57, \cdot)\)
|
$71$ |
$71$ |
$5$ |
5.5.25411681.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
75.g |
\(\chi_{75}(16, \cdot)\)$, \cdots ,$\(\chi_{75}(61, \cdot)\)
|
$75$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
77.f |
\(\chi_{77}(15, \cdot)\)$, \cdots ,$\(\chi_{77}(71, \cdot)\)
|
$77$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
82.d |
\(\chi_{82}(37, \cdot)\)$, \cdots ,$\(\chi_{82}(59, \cdot)\)
|
$82$ |
$41$ |
$5$ |
5.5.2825761.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
88.i |
\(\chi_{88}(9, \cdot)\)$, \cdots ,$\(\chi_{88}(81, \cdot)\)
|
$88$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
93.f |
\(\chi_{93}(4, \cdot)\)$, \cdots ,$\(\chi_{93}(70, \cdot)\)
|
$93$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
99.f |
\(\chi_{99}(37, \cdot)\)$, \cdots ,$\(\chi_{99}(91, \cdot)\)
|
$99$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
100.g |
\(\chi_{100}(21, \cdot)\)$, \cdots ,$\(\chi_{100}(81, \cdot)\)
|
$100$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
101.d |
\(\chi_{101}(36, \cdot)\)$, \cdots ,$\(\chi_{101}(95, \cdot)\)
|
$101$ |
$101$ |
$5$ |
5.5.104060401.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
110.g |
\(\chi_{110}(31, \cdot)\)$, \cdots ,$\(\chi_{110}(91, \cdot)\)
|
$110$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
121.c |
\(\chi_{121}(3, \cdot)\)$, \cdots ,$\(\chi_{121}(81, \cdot)\)
|
$121$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
122.e |
\(\chi_{122}(9, \cdot)\)$, \cdots ,$\(\chi_{122}(119, \cdot)\)
|
$122$ |
$61$ |
$5$ |
5.5.13845841.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
123.g |
\(\chi_{123}(10, \cdot)\)$, \cdots ,$\(\chi_{123}(100, \cdot)\)
|
$123$ |
$41$ |
$5$ |
5.5.2825761.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
124.f |
\(\chi_{124}(33, \cdot)\)$, \cdots ,$\(\chi_{124}(109, \cdot)\)
|
$124$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
125.d |
\(\chi_{125}(26, \cdot)\)$, \cdots ,$\(\chi_{125}(101, \cdot)\)
|
$125$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
131.c |
\(\chi_{131}(53, \cdot)\)$, \cdots ,$\(\chi_{131}(89, \cdot)\)
|
$131$ |
$131$ |
$5$ |
5.5.294499921.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
132.i |
\(\chi_{132}(25, \cdot)\)$, \cdots ,$\(\chi_{132}(97, \cdot)\)
|
$132$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
142.c |
\(\chi_{142}(5, \cdot)\)$, \cdots ,$\(\chi_{142}(125, \cdot)\)
|
$142$ |
$71$ |
$5$ |
5.5.25411681.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
143.h |
\(\chi_{143}(14, \cdot)\)$, \cdots ,$\(\chi_{143}(92, \cdot)\)
|
$143$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
150.g |
\(\chi_{150}(31, \cdot)\)$, \cdots ,$\(\chi_{150}(121, \cdot)\)
|
$150$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
151.d |
\(\chi_{151}(8, \cdot)\)$, \cdots ,$\(\chi_{151}(64, \cdot)\)
|
$151$ |
$151$ |
$5$ |
5.5.519885601.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
154.f |
\(\chi_{154}(15, \cdot)\)$, \cdots ,$\(\chi_{154}(141, \cdot)\)
|
$154$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
155.h |
\(\chi_{155}(16, \cdot)\)$, \cdots ,$\(\chi_{155}(126, \cdot)\)
|
$155$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
164.g |
\(\chi_{164}(37, \cdot)\)$, \cdots ,$\(\chi_{164}(141, \cdot)\)
|
$164$ |
$41$ |
$5$ |
5.5.2825761.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
165.m |
\(\chi_{165}(16, \cdot)\)$, \cdots ,$\(\chi_{165}(136, \cdot)\)
|
$165$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
175.h |
\(\chi_{175}(36, \cdot)\)$, \cdots ,$\(\chi_{175}(141, \cdot)\)
|
$175$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
176.m |
\(\chi_{176}(49, \cdot)\)$, \cdots ,$\(\chi_{176}(113, \cdot)\)
|
$176$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
181.e |
\(\chi_{181}(42, \cdot)\)$, \cdots ,$\(\chi_{181}(135, \cdot)\)
|
$181$ |
$181$ |
$5$ |
5.5.1073283121.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
183.h |
\(\chi_{183}(34, \cdot)\)$, \cdots ,$\(\chi_{183}(142, \cdot)\)
|
$183$ |
$61$ |
$5$ |
5.5.13845841.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
186.f |
\(\chi_{186}(97, \cdot)\)$, \cdots ,$\(\chi_{186}(163, \cdot)\)
|
$186$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
187.g |
\(\chi_{187}(69, \cdot)\)$, \cdots ,$\(\chi_{187}(137, \cdot)\)
|
$187$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
191.c |
\(\chi_{191}(39, \cdot)\)$, \cdots ,$\(\chi_{191}(184, \cdot)\)
|
$191$ |
$191$ |
$5$ |
5.5.1330863361.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
198.f |
\(\chi_{198}(37, \cdot)\)$, \cdots ,$\(\chi_{198}(181, \cdot)\)
|
$198$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
200.m |
\(\chi_{200}(41, \cdot)\)$, \cdots ,$\(\chi_{200}(161, \cdot)\)
|
$200$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
202.d |
\(\chi_{202}(87, \cdot)\)$, \cdots ,$\(\chi_{202}(185, \cdot)\)
|
$202$ |
$101$ |
$5$ |
5.5.104060401.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
205.k |
\(\chi_{205}(16, \cdot)\)$, \cdots ,$\(\chi_{205}(201, \cdot)\)
|
$205$ |
$41$ |
$5$ |
5.5.2825761.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
209.f |
\(\chi_{209}(20, \cdot)\)$, \cdots ,$\(\chi_{209}(191, \cdot)\)
|
$209$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
211.d |
\(\chi_{211}(55, \cdot)\)$, \cdots ,$\(\chi_{211}(188, \cdot)\)
|
$211$ |
$211$ |
$5$ |
5.5.1982119441.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |