def getpowerCoeff(poly):
    powerCoeff = []
    exp = poly.exponents()
    for i in range(len(exp)):
        powerCoeff.append((exp[i], poly.coefficients()[i]))
    return powerCoeff
def getRelations(UTMatrix):
    n = UTMatrix.ncols()
    r = []
    for row in range(n):
        word = ""
        for col in range(n):
            for (power, coeff) in getpowerCoeff(UTMatrix[row, col]):
                    word += `col` + "_" + `power` + "^" + `coeff` + " * "
        word = word[0:-3]
        r.append(word)
    return r