Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
29.d |
\(\chi_{29}(7, \cdot)\)$, \cdots ,$\(\chi_{29}(25, \cdot)\)
|
$29$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
43.e |
\(\chi_{43}(4, \cdot)\)$, \cdots ,$\(\chi_{43}(41, \cdot)\)
|
$43$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
49.e |
\(\chi_{49}(8, \cdot)\)$, \cdots ,$\(\chi_{49}(43, \cdot)\)
|
$49$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
58.d |
\(\chi_{58}(7, \cdot)\)$, \cdots ,$\(\chi_{58}(53, \cdot)\)
|
$58$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
71.d |
\(\chi_{71}(20, \cdot)\)$, \cdots ,$\(\chi_{71}(48, \cdot)\)
|
$71$ |
$71$ |
$7$ |
7.7.128100283921.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
86.e |
\(\chi_{86}(11, \cdot)\)$, \cdots ,$\(\chi_{86}(59, \cdot)\)
|
$86$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
87.g |
\(\chi_{87}(7, \cdot)\)$, \cdots ,$\(\chi_{87}(82, \cdot)\)
|
$87$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
98.e |
\(\chi_{98}(15, \cdot)\)$, \cdots ,$\(\chi_{98}(85, \cdot)\)
|
$98$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
113.d |
\(\chi_{113}(16, \cdot)\)$, \cdots ,$\(\chi_{113}(109, \cdot)\)
|
$113$ |
$113$ |
$7$ |
7.7.2081951752609.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
116.g |
\(\chi_{116}(25, \cdot)\)$, \cdots ,$\(\chi_{116}(81, \cdot)\)
|
$116$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
127.e |
\(\chi_{127}(2, \cdot)\)$, \cdots ,$\(\chi_{127}(64, \cdot)\)
|
$127$ |
$127$ |
$7$ |
7.7.4195872914689.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
129.i |
\(\chi_{129}(4, \cdot)\)$, \cdots ,$\(\chi_{129}(127, \cdot)\)
|
$129$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
142.d |
\(\chi_{142}(37, \cdot)\)$, \cdots ,$\(\chi_{142}(119, \cdot)\)
|
$142$ |
$71$ |
$7$ |
7.7.128100283921.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
145.k |
\(\chi_{145}(16, \cdot)\)$, \cdots ,$\(\chi_{145}(141, \cdot)\)
|
$145$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
147.i |
\(\chi_{147}(22, \cdot)\)$, \cdots ,$\(\chi_{147}(127, \cdot)\)
|
$147$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
172.i |
\(\chi_{172}(21, \cdot)\)$, \cdots ,$\(\chi_{172}(145, \cdot)\)
|
$172$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
174.g |
\(\chi_{174}(7, \cdot)\)$, \cdots ,$\(\chi_{174}(169, \cdot)\)
|
$174$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
196.i |
\(\chi_{196}(29, \cdot)\)$, \cdots ,$\(\chi_{196}(169, \cdot)\)
|
$196$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
197.d |
\(\chi_{197}(36, \cdot)\)$, \cdots ,$\(\chi_{197}(191, \cdot)\)
|
$197$ |
$197$ |
$7$ |
7.7.58451728309129.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
203.k |
\(\chi_{203}(36, \cdot)\)$, \cdots ,$\(\chi_{203}(197, \cdot)\)
|
$203$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
211.f |
\(\chi_{211}(58, \cdot)\)$, \cdots ,$\(\chi_{211}(199, \cdot)\)
|
$211$ |
$211$ |
$7$ |
7.7.88245939632761.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
213.f |
\(\chi_{213}(37, \cdot)\)$, \cdots ,$\(\chi_{213}(190, \cdot)\)
|
$213$ |
$71$ |
$7$ |
7.7.128100283921.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
215.k |
\(\chi_{215}(11, \cdot)\)$, \cdots ,$\(\chi_{215}(176, \cdot)\)
|
$215$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
226.d |
\(\chi_{226}(49, \cdot)\)$, \cdots ,$\(\chi_{226}(219, \cdot)\)
|
$226$ |
$113$ |
$7$ |
7.7.2081951752609.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
232.m |
\(\chi_{232}(25, \cdot)\)$, \cdots ,$\(\chi_{232}(169, \cdot)\)
|
$232$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
239.c |
\(\chi_{239}(10, \cdot)\)$, \cdots ,$\(\chi_{239}(201, \cdot)\)
|
$239$ |
$239$ |
$7$ |
7.7.186374892382561.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
245.k |
\(\chi_{245}(36, \cdot)\)$, \cdots ,$\(\chi_{245}(211, \cdot)\)
|
$245$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
254.e |
\(\chi_{254}(129, \cdot)\)$, \cdots ,$\(\chi_{254}(191, \cdot)\)
|
$254$ |
$127$ |
$7$ |
7.7.4195872914689.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
258.i |
\(\chi_{258}(97, \cdot)\)$, \cdots ,$\(\chi_{258}(193, \cdot)\)
|
$258$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
261.k |
\(\chi_{261}(82, \cdot)\)$, \cdots ,$\(\chi_{261}(226, \cdot)\)
|
$261$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
281.e |
\(\chi_{281}(59, \cdot)\)$, \cdots ,$\(\chi_{281}(249, \cdot)\)
|
$281$ |
$281$ |
$7$ |
7.7.492309163417681.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
284.f |
\(\chi_{284}(37, \cdot)\)$, \cdots ,$\(\chi_{284}(261, \cdot)\)
|
$284$ |
$71$ |
$7$ |
7.7.128100283921.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
290.k |
\(\chi_{290}(81, \cdot)\)$, \cdots ,$\(\chi_{290}(281, \cdot)\)
|
$290$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
294.i |
\(\chi_{294}(43, \cdot)\)$, \cdots ,$\(\chi_{294}(253, \cdot)\)
|
$294$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
301.u |
\(\chi_{301}(64, \cdot)\)$, \cdots ,$\(\chi_{301}(274, \cdot)\)
|
$301$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
319.h |
\(\chi_{319}(23, \cdot)\)$, \cdots ,$\(\chi_{319}(210, \cdot)\)
|
$319$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
337.f |
\(\chi_{337}(8, \cdot)\)$, \cdots ,$\(\chi_{337}(295, \cdot)\)
|
$337$ |
$337$ |
$7$ |
7.7.1464803622199009.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
339.g |
\(\chi_{339}(16, \cdot)\)$, \cdots ,$\(\chi_{339}(256, \cdot)\)
|
$339$ |
$113$ |
$7$ |
7.7.2081951752609.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
343.e |
\(\chi_{343}(50, \cdot)\)$, \cdots ,$\(\chi_{343}(295, \cdot)\)
|
$343$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
|
344.q |
\(\chi_{344}(41, \cdot)\)$, \cdots ,$\(\chi_{344}(305, \cdot)\)
|
$344$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
348.m |
\(\chi_{348}(25, \cdot)\)$, \cdots ,$\(\chi_{348}(313, \cdot)\)
|
$348$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
355.h |
\(\chi_{355}(91, \cdot)\)$, \cdots ,$\(\chi_{355}(321, \cdot)\)
|
$355$ |
$71$ |
$7$ |
7.7.128100283921.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
377.o |
\(\chi_{377}(53, \cdot)\)$, \cdots ,$\(\chi_{377}(339, \cdot)\)
|
$377$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
379.e |
\(\chi_{379}(86, \cdot)\)$, \cdots ,$\(\chi_{379}(195, \cdot)\)
|
$379$ |
$379$ |
$7$ |
7.7.2963706958323721.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
381.i |
\(\chi_{381}(4, \cdot)\)$, \cdots ,$\(\chi_{381}(286, \cdot)\)
|
$381$ |
$127$ |
$7$ |
7.7.4195872914689.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
387.u |
\(\chi_{387}(64, \cdot)\)$, \cdots ,$\(\chi_{387}(379, \cdot)\)
|
$387$ |
$43$ |
$7$ |
7.7.6321363049.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
392.q |
\(\chi_{392}(57, \cdot)\)$, \cdots ,$\(\chi_{392}(337, \cdot)\)
|
$392$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
394.d |
\(\chi_{394}(191, \cdot)\)$, \cdots ,$\(\chi_{394}(375, \cdot)\)
|
$394$ |
$197$ |
$7$ |
7.7.58451728309129.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
406.k |
\(\chi_{406}(141, \cdot)\)$, \cdots ,$\(\chi_{406}(393, \cdot)\)
|
$406$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
421.g |
\(\chi_{421}(33, \cdot)\)$, \cdots ,$\(\chi_{421}(385, \cdot)\)
|
$421$ |
$421$ |
$7$ |
7.7.5567914722008521.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |