Hashing with partial reversibility?

Question

Mathematics

Under what conditions can the transformation of the initial data of the wave nature by the transformation into the Hash function 512 of the variations of the results , be partially reversed.
According to the conditions for each of the transformations at the input of the algorithm, there are 34 values ​​that are converted into a combination of 9 values ​​and a unique numeric type identifier for each selection of input data!
An example of the conversion is shown below
:) 457-477-435-400-403-429-430-432-437-439-390-333-356]
Output one of Hash 512
{ (xxyyxxxxy) & (336.87344) } X