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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
23.c

\(\chi_{23}(2, \cdot)\)$, \cdots ,$\(\chi_{23}(18, \cdot)\)

$23$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
46.c

\(\chi_{46}(3, \cdot)\)$, \cdots ,$\(\chi_{46}(41, \cdot)\)

$46$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
67.e

\(\chi_{67}(9, \cdot)\)$, \cdots ,$\(\chi_{67}(64, \cdot)\)

$67$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
69.e

\(\chi_{69}(4, \cdot)\)$, \cdots ,$\(\chi_{69}(64, \cdot)\)

$69$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
89.e

\(\chi_{89}(2, \cdot)\)$, \cdots ,$\(\chi_{89}(78, \cdot)\)

$89$ $89$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
92.e

\(\chi_{92}(9, \cdot)\)$, \cdots ,$\(\chi_{92}(85, \cdot)\)

$92$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
115.g

\(\chi_{115}(6, \cdot)\)$, \cdots ,$\(\chi_{115}(101, \cdot)\)

$115$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
121.e

\(\chi_{121}(12, \cdot)\)$, \cdots ,$\(\chi_{121}(111, \cdot)\)

$121$ $121$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
134.e

\(\chi_{134}(9, \cdot)\)$, \cdots ,$\(\chi_{134}(131, \cdot)\)

$134$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
138.e

\(\chi_{138}(13, \cdot)\)$, \cdots ,$\(\chi_{138}(133, \cdot)\)

$138$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
161.i

\(\chi_{161}(8, \cdot)\)$, \cdots ,$\(\chi_{161}(141, \cdot)\)

$161$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
178.e

\(\chi_{178}(39, \cdot)\)$, \cdots ,$\(\chi_{178}(167, \cdot)\)

$178$ $89$ $11$ \(\Q(\zeta_{11})\) even ✓
184.i

\(\chi_{184}(9, \cdot)\)$, \cdots ,$\(\chi_{184}(177, \cdot)\)

$184$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
199.f

\(\chi_{199}(18, \cdot)\)$, \cdots ,$\(\chi_{199}(188, \cdot)\)

$199$ $199$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
201.i

\(\chi_{201}(22, \cdot)\)$, \cdots ,$\(\chi_{201}(196, \cdot)\)

$201$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
207.i

\(\chi_{207}(55, \cdot)\)$, \cdots ,$\(\chi_{207}(190, \cdot)\)

$207$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
230.g

\(\chi_{230}(31, \cdot)\)$, \cdots ,$\(\chi_{230}(211, \cdot)\)

$230$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
242.e

\(\chi_{242}(23, \cdot)\)$, \cdots ,$\(\chi_{242}(221, \cdot)\)

$242$ $121$ $11$ \(\Q(\zeta_{11})\) even ✓
253.i

\(\chi_{253}(12, \cdot)\)$, \cdots ,$\(\chi_{253}(243, \cdot)\)

$253$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
267.i

\(\chi_{267}(4, \cdot)\)$, \cdots ,$\(\chi_{267}(256, \cdot)\)

$267$ $89$ $11$ \(\Q(\zeta_{11})\) even ✓
268.i

\(\chi_{268}(9, \cdot)\)$, \cdots ,$\(\chi_{268}(265, \cdot)\)

$268$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
276.i

\(\chi_{276}(13, \cdot)\)$, \cdots ,$\(\chi_{276}(265, \cdot)\)

$276$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
299.k

\(\chi_{299}(27, \cdot)\)$, \cdots ,$\(\chi_{299}(261, \cdot)\)

$299$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
322.i

\(\chi_{322}(29, \cdot)\)$, \cdots ,$\(\chi_{322}(239, \cdot)\)

$322$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
331.g

\(\chi_{331}(74, \cdot)\)$, \cdots ,$\(\chi_{331}(293, \cdot)\)

$331$ $331$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
335.k

\(\chi_{335}(76, \cdot)\)$, \cdots ,$\(\chi_{335}(241, \cdot)\)

$335$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
345.m

\(\chi_{345}(16, \cdot)\)$, \cdots ,$\(\chi_{345}(331, \cdot)\)

$345$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
353.e

\(\chi_{353}(22, \cdot)\)$, \cdots ,$\(\chi_{353}(337, \cdot)\)

$353$ $353$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
356.i

\(\chi_{356}(45, \cdot)\)$, \cdots ,$\(\chi_{356}(345, \cdot)\)

$356$ $89$ $11$ \(\Q(\zeta_{11})\) even ✓
363.i

\(\chi_{363}(34, \cdot)\)$, \cdots ,$\(\chi_{363}(331, \cdot)\)

$363$ $121$ $11$ \(\Q(\zeta_{11})\) even ✓
368.m

\(\chi_{368}(49, \cdot)\)$, \cdots ,$\(\chi_{368}(353, \cdot)\)

$368$ $23$ $11$ \(\Q(\zeta_{11})\) even
391.i

\(\chi_{391}(18, \cdot)\)$, \cdots ,$\(\chi_{391}(358, \cdot)\)

$391$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
397.g

\(\chi_{397}(16, \cdot)\)$, \cdots ,$\(\chi_{397}(393, \cdot)\)

$397$ $397$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
398.f

\(\chi_{398}(61, \cdot)\)$, \cdots ,$\(\chi_{398}(387, \cdot)\)

$398$ $199$ $11$ \(\Q(\zeta_{11})\) even ✓
402.i

\(\chi_{402}(25, \cdot)\)$, \cdots ,$\(\chi_{402}(397, \cdot)\)

$402$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
414.i

\(\chi_{414}(55, \cdot)\)$, \cdots ,$\(\chi_{414}(397, \cdot)\)

$414$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
419.c

\(\chi_{419}(13, \cdot)\)$, \cdots ,$\(\chi_{419}(348, \cdot)\)

$419$ $419$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
437.j

\(\chi_{437}(39, \cdot)\)$, \cdots ,$\(\chi_{437}(400, \cdot)\)

$437$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
445.o

\(\chi_{445}(16, \cdot)\)$, \cdots ,$\(\chi_{445}(401, \cdot)\)

$445$ $89$ $11$ \(\Q(\zeta_{11})\) even ✓
460.m

\(\chi_{460}(41, \cdot)\)$, \cdots ,$\(\chi_{460}(441, \cdot)\)

$460$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
463.f

\(\chi_{463}(15, \cdot)\)$, \cdots ,$\(\chi_{463}(425, \cdot)\)

$463$ $463$ $11$ \(\Q(\zeta_{11})\) even ✓ ✓
469.u

\(\chi_{469}(15, \cdot)\)$, \cdots ,$\(\chi_{469}(442, \cdot)\)

$469$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
483.q

\(\chi_{483}(64, \cdot)\)$, \cdots ,$\(\chi_{483}(463, \cdot)\)

$483$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
484.i

\(\chi_{484}(45, \cdot)\)$, \cdots ,$\(\chi_{484}(441, \cdot)\)

$484$ $121$ $11$ \(\Q(\zeta_{11})\) even ✓
506.i

\(\chi_{506}(133, \cdot)\)$, \cdots ,$\(\chi_{506}(485, \cdot)\)

$506$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
529.c

\(\chi_{529}(118, \cdot)\)$, \cdots ,$\(\chi_{529}(501, \cdot)\)

$529$ $23$ $11$ \(\Q(\zeta_{11})\) even
534.i

\(\chi_{534}(67, \cdot)\)$, \cdots ,$\(\chi_{534}(523, \cdot)\)

$534$ $89$ $11$ \(\Q(\zeta_{11})\) even ✓
536.q

\(\chi_{536}(9, \cdot)\)$, \cdots ,$\(\chi_{536}(417, \cdot)\)

$536$ $67$ $11$ \(\Q(\zeta_{11})\) even ✓
552.q

\(\chi_{552}(25, \cdot)\)$, \cdots ,$\(\chi_{552}(409, \cdot)\)

$552$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
575.k

\(\chi_{575}(26, \cdot)\)$, \cdots ,$\(\chi_{575}(501, \cdot)\)

$575$ $23$ $11$ \(\Q(\zeta_{11})\) even ✓
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