G3.sage

load("__common__.sage")

def generator():
    l1,l2 = sample( list(range(-6,-1))+list(range(1,7)),2)
    S=matrix([[1,0],[randint(1,3),1]])
    A=S.inverse()*matrix([[l1,randint(1,2)],[0,l2]])*S

    return {
      "matrix": A,
      "e1": l1,
      "e2": l2,
      "charpoly": A.charpoly('lambda_'),
    }