Help with a periodic table question?

Question

Assume that we are in another universe with different physical laws. Electrons in this universe are described by 4 quantum numbers with similar meanings to the ones we use. We call them a,b,c and d. The rules are: a=1,2,3,4,5 ...
b takes on positive odd integers and b is less than or equal to a.
c takes on all even integer values from -b to +b and zero is considered even.
1) sketch what the 1st four periods of the periodic table will look like in this universe.

Answer 1

First period: a=1, b=1, c=0, d=+-1/2
Second period: a=2, b=1, c=0, d=+-1/2
Third period: a=3, {b=1, c=0, d=+-1/2}, {b=3, c=-2,0,2, d=+-1/2}
Fourth period: a=4, {b=1, c=0, d=+-1/2}, {b=3, c=-2,0,2, d=+-1/2}
2 elements in the 1st period
2 elements in the 2nd period
8 elements in the 3rd period
8 elements in the 4th period