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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
29.d

\(\chi_{29}(7, \cdot)\)$, \cdots ,$\(\chi_{29}(25, \cdot)\)

$29$ $29$ $7$ \(\Q(\zeta_{7})\) even
43.e

\(\chi_{43}(4, \cdot)\)$, \cdots ,$\(\chi_{43}(41, \cdot)\)

$43$ $43$ $7$ \(\Q(\zeta_{7})\) even
49.e

\(\chi_{49}(8, \cdot)\)$, \cdots ,$\(\chi_{49}(43, \cdot)\)

$49$ $49$ $7$ \(\Q(\zeta_{7})\) even
58.d

\(\chi_{58}(7, \cdot)\)$, \cdots ,$\(\chi_{58}(53, \cdot)\)

$58$ $29$ $7$ \(\Q(\zeta_{7})\) even
71.d

\(\chi_{71}(20, \cdot)\)$, \cdots ,$\(\chi_{71}(48, \cdot)\)

$71$ $71$ $7$ \(\Q(\zeta_{7})\) even
86.e

\(\chi_{86}(11, \cdot)\)$, \cdots ,$\(\chi_{86}(59, \cdot)\)

$86$ $43$ $7$ \(\Q(\zeta_{7})\) even
87.g

\(\chi_{87}(7, \cdot)\)$, \cdots ,$\(\chi_{87}(82, \cdot)\)

$87$ $29$ $7$ \(\Q(\zeta_{7})\) even
98.e

\(\chi_{98}(15, \cdot)\)$, \cdots ,$\(\chi_{98}(85, \cdot)\)

$98$ $49$ $7$ \(\Q(\zeta_{7})\) even
113.d

\(\chi_{113}(16, \cdot)\)$, \cdots ,$\(\chi_{113}(109, \cdot)\)

$113$ $113$ $7$ \(\Q(\zeta_{7})\) even
116.g

\(\chi_{116}(25, \cdot)\)$, \cdots ,$\(\chi_{116}(81, \cdot)\)

$116$ $29$ $7$ \(\Q(\zeta_{7})\) even
127.e

\(\chi_{127}(2, \cdot)\)$, \cdots ,$\(\chi_{127}(64, \cdot)\)

$127$ $127$ $7$ \(\Q(\zeta_{7})\) even
129.i

\(\chi_{129}(4, \cdot)\)$, \cdots ,$\(\chi_{129}(127, \cdot)\)

$129$ $43$ $7$ \(\Q(\zeta_{7})\) even
142.d

\(\chi_{142}(37, \cdot)\)$, \cdots ,$\(\chi_{142}(119, \cdot)\)

$142$ $71$ $7$ \(\Q(\zeta_{7})\) even
145.k

\(\chi_{145}(16, \cdot)\)$, \cdots ,$\(\chi_{145}(141, \cdot)\)

$145$ $29$ $7$ \(\Q(\zeta_{7})\) even
147.i

\(\chi_{147}(22, \cdot)\)$, \cdots ,$\(\chi_{147}(127, \cdot)\)

$147$ $49$ $7$ \(\Q(\zeta_{7})\) even
172.i

\(\chi_{172}(21, \cdot)\)$, \cdots ,$\(\chi_{172}(145, \cdot)\)

$172$ $43$ $7$ \(\Q(\zeta_{7})\) even
174.g

\(\chi_{174}(7, \cdot)\)$, \cdots ,$\(\chi_{174}(169, \cdot)\)

$174$ $29$ $7$ \(\Q(\zeta_{7})\) even
196.i

\(\chi_{196}(29, \cdot)\)$, \cdots ,$\(\chi_{196}(169, \cdot)\)

$196$ $49$ $7$ \(\Q(\zeta_{7})\) even
197.d

\(\chi_{197}(36, \cdot)\)$, \cdots ,$\(\chi_{197}(191, \cdot)\)

$197$ $197$ $7$ \(\Q(\zeta_{7})\) even
203.k

\(\chi_{203}(36, \cdot)\)$, \cdots ,$\(\chi_{203}(197, \cdot)\)

$203$ $29$ $7$ \(\Q(\zeta_{7})\) even
211.f

\(\chi_{211}(58, \cdot)\)$, \cdots ,$\(\chi_{211}(199, \cdot)\)

$211$ $211$ $7$ \(\Q(\zeta_{7})\) even
213.f

\(\chi_{213}(37, \cdot)\)$, \cdots ,$\(\chi_{213}(190, \cdot)\)

$213$ $71$ $7$ \(\Q(\zeta_{7})\) even
215.k

\(\chi_{215}(11, \cdot)\)$, \cdots ,$\(\chi_{215}(176, \cdot)\)

$215$ $43$ $7$ \(\Q(\zeta_{7})\) even
226.d

\(\chi_{226}(49, \cdot)\)$, \cdots ,$\(\chi_{226}(219, \cdot)\)

$226$ $113$ $7$ \(\Q(\zeta_{7})\) even
232.m

\(\chi_{232}(25, \cdot)\)$, \cdots ,$\(\chi_{232}(169, \cdot)\)

$232$ $29$ $7$ \(\Q(\zeta_{7})\) even
239.c

\(\chi_{239}(10, \cdot)\)$, \cdots ,$\(\chi_{239}(201, \cdot)\)

$239$ $239$ $7$ \(\Q(\zeta_{7})\) even
245.k

\(\chi_{245}(36, \cdot)\)$, \cdots ,$\(\chi_{245}(211, \cdot)\)

$245$ $49$ $7$ \(\Q(\zeta_{7})\) even
254.e

\(\chi_{254}(129, \cdot)\)$, \cdots ,$\(\chi_{254}(191, \cdot)\)

$254$ $127$ $7$ \(\Q(\zeta_{7})\) even
258.i

\(\chi_{258}(97, \cdot)\)$, \cdots ,$\(\chi_{258}(193, \cdot)\)

$258$ $43$ $7$ \(\Q(\zeta_{7})\) even
261.k

\(\chi_{261}(82, \cdot)\)$, \cdots ,$\(\chi_{261}(226, \cdot)\)

$261$ $29$ $7$ \(\Q(\zeta_{7})\) even
281.e

\(\chi_{281}(59, \cdot)\)$, \cdots ,$\(\chi_{281}(249, \cdot)\)

$281$ $281$ $7$ \(\Q(\zeta_{7})\) even
284.f

\(\chi_{284}(37, \cdot)\)$, \cdots ,$\(\chi_{284}(261, \cdot)\)

$284$ $71$ $7$ \(\Q(\zeta_{7})\) even
290.k

\(\chi_{290}(81, \cdot)\)$, \cdots ,$\(\chi_{290}(281, \cdot)\)

$290$ $29$ $7$ \(\Q(\zeta_{7})\) even
294.i

\(\chi_{294}(43, \cdot)\)$, \cdots ,$\(\chi_{294}(253, \cdot)\)

$294$ $49$ $7$ \(\Q(\zeta_{7})\) even
301.u

\(\chi_{301}(64, \cdot)\)$, \cdots ,$\(\chi_{301}(274, \cdot)\)

$301$ $43$ $7$ \(\Q(\zeta_{7})\) even
319.h

\(\chi_{319}(23, \cdot)\)$, \cdots ,$\(\chi_{319}(210, \cdot)\)

$319$ $29$ $7$ \(\Q(\zeta_{7})\) even
337.f

\(\chi_{337}(8, \cdot)\)$, \cdots ,$\(\chi_{337}(295, \cdot)\)

$337$ $337$ $7$ \(\Q(\zeta_{7})\) even
339.g

\(\chi_{339}(16, \cdot)\)$, \cdots ,$\(\chi_{339}(256, \cdot)\)

$339$ $113$ $7$ \(\Q(\zeta_{7})\) even
343.e

\(\chi_{343}(50, \cdot)\)$, \cdots ,$\(\chi_{343}(295, \cdot)\)

$343$ $49$ $7$ \(\Q(\zeta_{7})\) even
344.q

\(\chi_{344}(41, \cdot)\)$, \cdots ,$\(\chi_{344}(305, \cdot)\)

$344$ $43$ $7$ \(\Q(\zeta_{7})\) even
348.m

\(\chi_{348}(25, \cdot)\)$, \cdots ,$\(\chi_{348}(313, \cdot)\)

$348$ $29$ $7$ \(\Q(\zeta_{7})\) even
355.h

\(\chi_{355}(91, \cdot)\)$, \cdots ,$\(\chi_{355}(321, \cdot)\)

$355$ $71$ $7$ \(\Q(\zeta_{7})\) even
377.o

\(\chi_{377}(53, \cdot)\)$, \cdots ,$\(\chi_{377}(339, \cdot)\)

$377$ $29$ $7$ \(\Q(\zeta_{7})\) even
379.e

\(\chi_{379}(86, \cdot)\)$, \cdots ,$\(\chi_{379}(195, \cdot)\)

$379$ $379$ $7$ \(\Q(\zeta_{7})\) even
381.i

\(\chi_{381}(4, \cdot)\)$, \cdots ,$\(\chi_{381}(286, \cdot)\)

$381$ $127$ $7$ \(\Q(\zeta_{7})\) even
387.u

\(\chi_{387}(64, \cdot)\)$, \cdots ,$\(\chi_{387}(379, \cdot)\)

$387$ $43$ $7$ \(\Q(\zeta_{7})\) even
392.q

\(\chi_{392}(57, \cdot)\)$, \cdots ,$\(\chi_{392}(337, \cdot)\)

$392$ $49$ $7$ \(\Q(\zeta_{7})\) even
394.d

\(\chi_{394}(191, \cdot)\)$, \cdots ,$\(\chi_{394}(375, \cdot)\)

$394$ $197$ $7$ \(\Q(\zeta_{7})\) even
406.k

\(\chi_{406}(141, \cdot)\)$, \cdots ,$\(\chi_{406}(393, \cdot)\)

$406$ $29$ $7$ \(\Q(\zeta_{7})\) even
421.g

\(\chi_{421}(33, \cdot)\)$, \cdots ,$\(\chi_{421}(385, \cdot)\)

$421$ $421$ $7$ \(\Q(\zeta_{7})\) even
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