A multiplicative square of complex numbers :
The multiplicative magic constant is: - 26'509'600 + 97'193'200 i
Such a construction looks like a monstrosity requiring hours, or even days of computerized calculations. It is not the case at all. With my method, it is easy to infinitely and randomly generate such squares in a fraction of a second, using a simple spreadsheet software (you may download the Excel file at the bottom of this page).
In addition to appearing in the product of each line and row, the magic constant [- 26'509'600 + 97'193'200 i] appears in the product of the following remarkable combinations (by multiplying the values of the colored cells):
The diagonals and broken diagonals as follows :
Dispositions in pairs of 4x4 squares: