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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
11.c

\(\chi_{11}(3, \cdot)\)$, \cdots ,$\(\chi_{11}(9, \cdot)\)

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

\(\chi_{11}(2, \cdot)\)$, \cdots ,$\(\chi_{11}(8, \cdot)\)

$11$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
13.c

\(\chi_{13}(3, \cdot)\)$,$ \(\chi_{13}(9, \cdot)\)

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

\(\chi_{13}(5, \cdot)\)$,$ \(\chi_{13}(8, \cdot)\)

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

\(\chi_{13}(4, \cdot)\)$,$ \(\chi_{13}(10, \cdot)\)

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

\(\chi_{13}(2, \cdot)\)$, \cdots ,$\(\chi_{13}(11, \cdot)\)

$13$ $13$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
14.c

\(\chi_{14}(9, \cdot)\)$,$ \(\chi_{14}(11, \cdot)\)

$14$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
14.d

\(\chi_{14}(3, \cdot)\)$,$ \(\chi_{14}(5, \cdot)\)

$14$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
15.e

\(\chi_{15}(2, \cdot)\)$,$ \(\chi_{15}(8, \cdot)\)

$15$ $15$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
15.f

\(\chi_{15}(7, \cdot)\)$,$ \(\chi_{15}(13, \cdot)\)

$15$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
16.e

\(\chi_{16}(5, \cdot)\)$,$ \(\chi_{16}(13, \cdot)\)

$16$ $16$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
16.f

\(\chi_{16}(3, \cdot)\)$,$ \(\chi_{16}(11, \cdot)\)

$16$ $16$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
17.c

\(\chi_{17}(4, \cdot)\)$,$ \(\chi_{17}(13, \cdot)\)

$17$ $17$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
17.d

\(\chi_{17}(2, \cdot)\)$, \cdots ,$\(\chi_{17}(15, \cdot)\)

$17$ $17$ $8$ \(\Q(\zeta_{8})\) even ✓ ✓
17.e

\(\chi_{17}(3, \cdot)\)$, \cdots ,$\(\chi_{17}(14, \cdot)\)

$17$ $17$ $16$ \(\Q(\zeta_{16})\) odd ✓ ✓
18.c

\(\chi_{18}(7, \cdot)\)$,$ \(\chi_{18}(13, \cdot)\)

$18$ $9$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
18.d

\(\chi_{18}(5, \cdot)\)$,$ \(\chi_{18}(11, \cdot)\)

$18$ $9$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
19.c

\(\chi_{19}(7, \cdot)\)$,$ \(\chi_{19}(11, \cdot)\)

$19$ $19$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
19.d

\(\chi_{19}(8, \cdot)\)$,$ \(\chi_{19}(12, \cdot)\)

$19$ $19$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
19.e

\(\chi_{19}(4, \cdot)\)$, \cdots ,$\(\chi_{19}(17, \cdot)\)

$19$ $19$ $9$ \(\Q(\zeta_{9})\) even ✓ ✓
19.f

\(\chi_{19}(2, \cdot)\)$, \cdots ,$\(\chi_{19}(15, \cdot)\)

$19$ $19$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
20.e

\(\chi_{20}(3, \cdot)\)$,$ \(\chi_{20}(7, \cdot)\)

$20$ $20$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
20.f

\(\chi_{20}(13, \cdot)\)$,$ \(\chi_{20}(17, \cdot)\)

$20$ $5$ $4$ \(\mathbb{Q}(i)\) 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.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.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 ✓ ✓
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.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.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.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 ✓
29.c

\(\chi_{29}(12, \cdot)\)$,$ \(\chi_{29}(17, \cdot)\)

$29$ $29$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
29.d

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

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

\(\chi_{29}(4, \cdot)\)$, \cdots ,$\(\chi_{29}(22, \cdot)\)

$29$ $29$ $14$ \(\Q(\zeta_{7})\) even ✓ ✓
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