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

\(\chi_{21}(1, \cdot)\)

$21$ $1$ $1$ \(\Q\) even ✓ ✓
21.b

\(\chi_{21}(8, \cdot)\)

$21$ $3$ $2$ \(\Q\) odd ✓ ✓
21.c

\(\chi_{21}(20, \cdot)\)

$21$ $21$ $2$ \(\Q\) even ✓ ✓ ✓
21.d

\(\chi_{21}(13, \cdot)\)

$21$ $7$ $2$ \(\Q\) odd ✓ ✓
21.e

\(\chi_{21}(4, \cdot)\)$,$ \(\chi_{21}(16, \cdot)\)

$21$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
21.f

\(\chi_{21}(10, \cdot)\)$,$ \(\chi_{21}(19, \cdot)\)

$21$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
21.g

\(\chi_{21}(5, \cdot)\)$,$ \(\chi_{21}(17, \cdot)\)

$21$ $21$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
21.h

\(\chi_{21}(2, \cdot)\)$,$ \(\chi_{21}(11, \cdot)\)

$21$ $21$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
22.a

\(\chi_{22}(1, \cdot)\)

$22$ $1$ $1$ \(\Q\) even ✓ ✓
22.b

\(\chi_{22}(21, \cdot)\)

$22$ $11$ $2$ \(\Q\) odd ✓ ✓
22.c

\(\chi_{22}(3, \cdot)\)$, \cdots ,$\(\chi_{22}(15, \cdot)\)

$22$ $11$ $5$ \(\Q(\zeta_{5})\) even ✓
22.d

\(\chi_{22}(7, \cdot)\)$, \cdots ,$\(\chi_{22}(19, \cdot)\)

$22$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
23.a

\(\chi_{23}(1, \cdot)\)

$23$ $1$ $1$ \(\Q\) even ✓ ✓
23.b

\(\chi_{23}(22, \cdot)\)

$23$ $23$ $2$ \(\Q\) odd ✓ ✓ ✓
23.c

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

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

\(\chi_{23}(5, \cdot)\)$, \cdots ,$\(\chi_{23}(21, \cdot)\)

$23$ $23$ $22$ \(\Q(\zeta_{11})\) odd ✓ ✓
24.a

\(\chi_{24}(1, \cdot)\)

$24$ $1$ $1$ \(\Q\) even ✓ ✓
24.b

\(\chi_{24}(19, \cdot)\)

$24$ $8$ $2$ \(\Q\) odd ✓ ✓
24.c

\(\chi_{24}(23, \cdot)\)

$24$ $12$ $2$ \(\Q\) even ✓
24.d

\(\chi_{24}(13, \cdot)\)

$24$ $8$ $2$ \(\Q\) even ✓ ✓
24.e

\(\chi_{24}(17, \cdot)\)

$24$ $3$ $2$ \(\Q\) odd ✓ ✓
24.f

\(\chi_{24}(11, \cdot)\)

$24$ $24$ $2$ \(\Q\) even ✓ ✓ ✓
24.g

\(\chi_{24}(7, \cdot)\)

$24$ $4$ $2$ \(\Q\) odd ✓
24.h

\(\chi_{24}(5, \cdot)\)

$24$ $24$ $2$ \(\Q\) odd ✓ ✓ ✓
25.a

\(\chi_{25}(1, \cdot)\)

$25$ $1$ $1$ \(\Q\) even ✓ ✓
25.b

\(\chi_{25}(24, \cdot)\)

$25$ $5$ $2$ \(\Q\) even ✓
25.c

\(\chi_{25}(7, \cdot)\)$,$ \(\chi_{25}(18, \cdot)\)

$25$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
25.d

\(\chi_{25}(6, \cdot)\)$, \cdots ,$\(\chi_{25}(21, \cdot)\)

$25$ $25$ $5$ \(\Q(\zeta_{5})\) even ✓ ✓
25.e

\(\chi_{25}(4, \cdot)\)$, \cdots ,$\(\chi_{25}(19, \cdot)\)

$25$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
25.f

\(\chi_{25}(2, \cdot)\)$, \cdots ,$\(\chi_{25}(23, \cdot)\)

$25$ $25$ $20$ \(\Q(\zeta_{20})\) odd ✓ ✓
26.a

\(\chi_{26}(1, \cdot)\)

$26$ $1$ $1$ \(\Q\) even ✓ ✓
26.b

\(\chi_{26}(25, \cdot)\)

$26$ $13$ $2$ \(\Q\) even ✓ ✓
26.c

\(\chi_{26}(3, \cdot)\)$,$ \(\chi_{26}(9, \cdot)\)

$26$ $13$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
26.d

\(\chi_{26}(5, \cdot)\)$,$ \(\chi_{26}(21, \cdot)\)

$26$ $13$ $4$ \(\mathbb{Q}(i)\) odd ✓
26.e

\(\chi_{26}(17, \cdot)\)$,$ \(\chi_{26}(23, \cdot)\)

$26$ $13$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
26.f

\(\chi_{26}(7, \cdot)\)$, \cdots ,$\(\chi_{26}(19, \cdot)\)

$26$ $13$ $12$ \(\Q(\zeta_{12})\) odd ✓
27.a

\(\chi_{27}(1, \cdot)\)

$27$ $1$ $1$ \(\Q\) even ✓ ✓
27.b

\(\chi_{27}(26, \cdot)\)

$27$ $3$ $2$ \(\Q\) odd ✓ ✓
27.c

\(\chi_{27}(10, \cdot)\)$,$ \(\chi_{27}(19, \cdot)\)

$27$ $9$ $3$ \(\mathbb{Q}(\zeta_3)\) even
27.d

\(\chi_{27}(8, \cdot)\)$,$ \(\chi_{27}(17, \cdot)\)

$27$ $9$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
27.e

\(\chi_{27}(4, \cdot)\)$, \cdots ,$\(\chi_{27}(25, \cdot)\)

$27$ $27$ $9$ \(\Q(\zeta_{9})\) even ✓ ✓
27.f

\(\chi_{27}(2, \cdot)\)$, \cdots ,$\(\chi_{27}(23, \cdot)\)

$27$ $27$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
28.a

\(\chi_{28}(1, \cdot)\)

$28$ $1$ $1$ \(\Q\) even ✓ ✓
28.b

\(\chi_{28}(13, \cdot)\)

$28$ $7$ $2$ \(\Q\) odd ✓ ✓
28.c

\(\chi_{28}(15, \cdot)\)

$28$ $4$ $2$ \(\Q\) odd ✓ ✓
28.d

\(\chi_{28}(27, \cdot)\)

$28$ $28$ $2$ \(\Q\) even ✓ ✓ ✓
28.e

\(\chi_{28}(9, \cdot)\)$,$ \(\chi_{28}(25, \cdot)\)

$28$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
28.f

\(\chi_{28}(3, \cdot)\)$,$ \(\chi_{28}(19, \cdot)\)

$28$ $28$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
28.g

\(\chi_{28}(11, \cdot)\)$,$ \(\chi_{28}(23, \cdot)\)

$28$ $28$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
28.h

\(\chi_{28}(5, \cdot)\)$,$ \(\chi_{28}(17, \cdot)\)

$28$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
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