L = an integer from 0 to n-1
mL = an integer from -L to +L
ms = + or - 1/2
the format is (n, L, mL, ms)
so your
n = 3... this is OK
L = 2.. also OK.. if n=3, L can = 0, 1, or 2
mL = -3 is NOT ok... if L=2.. mL can only be -2, -1, 0, +1, or +2
ms = +1/2
