The Modfather

Normal 9x9 sudoku rules apply, place the digits 1-9 in each row, column and box once each.

Modular cages - There are killer cages around the grid. Each clue to such cages are given mod k, where k must be deduced by the solver. k is the same for every cage. k is a sudoku digit. Clues are given in the most reduced form.

Digits cannot repeat along the marked diagonal.

Cells separated by a white dot are consecutive, cells separated by a black dot are in a 1:2 ratio.

Not all such dots are given

Clues outside the grid give the sum of the digits placed along the direction of the arrow. These clues are also given mod k, where k is the same digit as for the rest of the puzzle.