Dirichlet characters of modulus 21-40

Imprimitive

Primitive

The table below displays Dirichlet characters of a given modulus \(q\) and index \(n\) of order up to 8. The characters are grouped with respect to order and stacked integers indicate (complex) conjugate characters.

Modulus

Order $1$

Order $2$

Order $3$

Order $4$

Order $5$

Order $6$

Order $7$

Order $8$

$21$

$1$

$8$

$13$

$20$

$4$
$16$

$2$ $11$

$5$ $17$

$10$ $19$

$22$

$1$

$21$

$3$ $15$

$5$ $9$

$23$

$1$

$22$

$24$

$1$

$5$

$7$

$11$

$13$

$17$

$19$

$23$

$25$

$1$

$24$

$7$
$18$

$6$ $21$

$11$ $16$

$26$

$1$

$25$

$3$
$9$

$5$
$21$

$17$
$23$

$27$

$1$

$26$

$10$
$19$

$8$
$17$

$28$

$1$

$13$

$15$

$27$

$9$
$25$

$3$ $19$

$5$ $17$

$11$ $23$

$29$

$1$

$28$

$12$
$17$

$7$ $25$

$16$ $20$

$23$ $24$

$30$

$1$

$11$

$19$

$29$

$7$ $13$

$17$ $23$

$31$

$1$

$30$

$5$
$25$

$2$ $16$

$4$ $8$

$6$
$26$

$32$

$1$

$15$

$17$

$31$

$7$ $23$

$9$ $25$

$3$ $11$

$5$ $13$

$19$ $27$

$21$ $29$

$33$

$1$

$10$

$23$

$32$

$4$ $25$

$16$ $31$

$34$

$1$

$33$

$13$
$21$

$9$ $19$

$15$ $25$

$35$

$1$

$6$

$29$

$34$

$11$
$16$

$8$ $22$

$13$ $27$

$4$ $9$

$19$ $24$

$26$ $31$

$36$

$1$

$17$

$19$

$35$

$13$
$25$

$5$ $29$

$7$ $31$

$11$ $23$

$37$

$1$

$36$

$10$
$26$

$6$
$31$

$11$
$27$

$38$

$1$

$37$

$7$
$11$

$27$
$31$

$39$

$1$

$14$

$25$

$38$

$16$
$22$

$5$ $8$

$31$ $34$

$4$ $10$

$17$ $23$

$29$ $35$

$40$

$1$

$9$

$11$

$19$

$21$

$29$

$31$

$39$

$3$ $27$

$7$ $23$

$13$ $37$

$17$ $33$