// Magma code for working with Dirichlet character 297.w.211


// Define the Dirichlet character: 
// Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.211");

// 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);

// Galois orbit: 
order := Order(chi);
{ chi^k : k in [1..order-1] | GCD(k,order) eq 1 };