[ -10/3 ] [ 5/6 ] [ 5/2 ] 
-5/3 |-> 5/6
f(z) = 18/125*z^3 - 3/10*z + 1
*
[ -5/3 ] [ -5/6 ] [ 5/2 ] 
10/3 |-> -5/3
f(z) = -36/125*z^3 + 12/5*z + 1
*
[ -1/3 ] [ 1/12 ] [ 1/4 ] 
1/6 |-> -1/3
f(z) = 144*z^3 - 12*z + 1
*
[ -4/5 ] [ -8/15 ] [ 4/3 ] 
8/5 |-> -4/5
f(z) = -225/128*z^3 + 27/8*z + 1
*
[ -4/5 ] [ 2/15 ] [ 2/3 ] 
2/5 |-> -4/5
f(z) = 225/16*z^3 - 27/4*z + 1
*
TOTAL: 5