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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.
ModulusOrder $1$Order $2$Order $3$Order $4$Order $5$Order $6$Order $8$
$1$
$1$
$2$
$1$
$3$
$1$
$2$
$4$
$1$
$3$
$5$
$1$
$4$
$2$
$3$
$6$
$1$
$5$
$7$
$1$
$6$
$2$
$4$
$3$
$5$
$8$
$1$
$3$
$5$
$7$
$9$
$1$
$8$
$4$
$7$
$2$
$5$
$10$
$1$
$9$
$3$
$7$
$11$
$1$
$10$
$3$
$4$
$5$
$9$
$12$
$1$
$5$
$7$
$11$
$13$
$1$
$12$
$3$
$9$
$5$
$8$
$4$
$10$
$14$
$1$
$13$
$9$
$11$
$3$
$5$
$15$
$1$
$4$
$11$
$14$
$2$
$8$
$7$
$13$
$16$
$1$
$7$
$9$
$15$
$3$
$11$
$5$
$13$
$17$
$1$
$16$
$4$
$13$
$2$
$9$
$8$
$15$
$18$
$1$
$17$
$7$
$13$
$5$
$11$
$19$
$1$
$18$
$7$
$11$
$8$
$12$
$20$
$1$
$9$
$11$
$19$
$3$
$7$
$13$
$17$