On the calculation of Misiurewicz patterns in one-dimensional quadratic maps

In this work we give for the first time a table with all Misiurewicz points M(n,p) for low values of the preperiod and period (2 less than or equal to n less than or equal to 8, 1 less than or equal to p less than or equal to 5) in one-dimensional quadratic maps. In the particular case of M(n,1) (important Misiurewicz points which are all placed in the period-1 chaotic band) the preperiod values are (2 less than or equal to n less than or equal to 11). A brute-force algorithm to obtain all the symbolic sequences (patterns) of the M(n,p) and a more efficient algorithm to obtain the patterns of M(g,1) are also shown.