// Magma code for working with Dirichlet character orbit 4335.bx


// Define the Dirichlet character orbit: 
// Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("4335.152");
order := Order(chi);
{ chi^k : k in [1..order-1] | GCD(k,order) eq 1 };


// Modulus: 
Modulus(chi);

// Conductor: 
Conductor(chi);

// Order: 
Order(chi);

// Whether the character is real: 
Order(chi) le 2;

// If the character is primitive: 
IsPrimitive(chi);

// Parity: 
IsOdd(chi);