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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
49.a

\(\chi_{49}(1, \cdot)\)

$49$ $1$ $1$ \(\Q\) even ✓ ✓
49.b

\(\chi_{49}(48, \cdot)\)

$49$ $7$ $2$ \(\Q\) odd ✓ ✓
49.c

\(\chi_{49}(18, \cdot)\)$,$ \(\chi_{49}(30, \cdot)\)

$49$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even
49.d

\(\chi_{49}(19, \cdot)\)$,$ \(\chi_{49}(31, \cdot)\)

$49$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
49.e

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

$49$ $49$ $7$ \(\Q(\zeta_{7})\) even ✓ ✓
49.f

\(\chi_{49}(6, \cdot)\)$, \cdots ,$\(\chi_{49}(41, \cdot)\)

$49$ $49$ $14$ \(\Q(\zeta_{7})\) odd ✓ ✓
49.g

\(\chi_{49}(2, \cdot)\)$, \cdots ,$\(\chi_{49}(46, \cdot)\)

$49$ $49$ $21$ \(\Q(\zeta_{21})\) even ✓ ✓
49.h

\(\chi_{49}(3, \cdot)\)$, \cdots ,$\(\chi_{49}(47, \cdot)\)

$49$ $49$ $42$ \(\Q(\zeta_{21})\) odd ✓ ✓
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