Dirichlet character
Primitive

If the modulus is the absolute value of a fundamental discriminant there is a real primitive character (there are two if the modulus is a multiple of 8); otherwise if there are any primitive characters they are imaginary.

χ 3, 2 = (− 3 ∙) {\displaystyle \chi _{3,2}=\left({\frac {-3}{\bullet }}\right)} χ 4, 3 = (− 4 ∙) {\displaystyle \chi _{4,3}=\left({\frac {-4}{\bullet }}\right)} χ 5, 4 = (5 ∙) {\displaystyle \chi _{5,4}=\left({\frac {5}{\bullet }}\right)} χ 7, 6 = (− 7 ∙) {\displaystyle \chi _{7,6}=\left({\frac {-7}{\bullet }}\right)} χ 8, 3 = (− 8 ∙) {\displaystyle \chi _{8,3}=\left({\frac {-8}{\bullet }}\right)} χ 8, 5 = (8 ∙) {\displaystyle \chi _{8,5}=\left({\frac {8}{\bullet }}\right)} χ 15, 14 = (− 15 ∙) {\displaystyle \chi _{15,14}=\left({\frac {-15}{\bullet }}\right)} χ 24, 5 = (− 24 ∙) {\displaystyle \chi _{24,5}=\left({\frac {-24}{\bullet }}\right)} χ 24, 11 = (24 ∙) {\displaystyle \chi _{24,11}=\left({\frac {24}{\bullet }}\right)} χ 40, 19 = (− 40 ∙) {\displaystyle \chi _{40,19}=\left({\frac {-40}{\bullet }}\right)} χ 40, 29 = (40 ∙) {\displaystyle \chi _{40,29}=\left({\frac {40}{\bullet }}\right)}
combination:repeat_prompt, detectable_content:postscript