##### Equilize Weights

The "Equilize Weigths" button will set each weight to $1/n$, where $n$ is the number of transformations.

##### Auto Distribute Weigts

The "Auto Distribute Weights" button will set the weight $p_i$ for the $i$th transformation using the standard matrix $A_i$ and the value $\delta = 0.01$:
$$p_i=\frac{\max(\delta, |\det A_i|)}{\sum_{j=1}^k\max(\delta, |\det A_j|)}.$$
The lock button, when enabled, will automatically distribute the weights after any change is made.

For more information on the weights and what they are used for, see

here.