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The results below are complete, since the LMFDB contains all Dirichlet characters with modulus at most a million

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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Results (8 matches)

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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
41.a

\(\chi_{41}(1, \cdot)\)

$41$ $1$ $1$ \(\Q\) even ✓ ✓
41.b

\(\chi_{41}(40, \cdot)\)

$41$ $41$ $2$ \(\Q\) even ✓ ✓ ✓
41.c

\(\chi_{41}(9, \cdot)\)$,$ \(\chi_{41}(32, \cdot)\)

$41$ $41$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
41.d

\(\chi_{41}(10, \cdot)\)$, \cdots ,$\(\chi_{41}(37, \cdot)\)

$41$ $41$ $5$ \(\Q(\zeta_{5})\) even ✓ ✓
41.e

\(\chi_{41}(3, \cdot)\)$, \cdots ,$\(\chi_{41}(38, \cdot)\)

$41$ $41$ $8$ \(\Q(\zeta_{8})\) odd ✓ ✓
41.f

\(\chi_{41}(4, \cdot)\)$, \cdots ,$\(\chi_{41}(31, \cdot)\)

$41$ $41$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
41.g

\(\chi_{41}(2, \cdot)\)$, \cdots ,$\(\chi_{41}(39, \cdot)\)

$41$ $41$ $20$ \(\Q(\zeta_{20})\) even ✓ ✓
41.h

\(\chi_{41}(6, \cdot)\)$, \cdots ,$\(\chi_{41}(35, \cdot)\)

$41$ $41$ $40$ \(\Q(\zeta_{40})\) odd ✓ ✓
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