[ -1 ] 
2 |-> -1
f(z) = -z^3 + 3*z + 1
*
[ 1/2 ] 
-1 |-> 1/2
f(z) = 2*z^3 - 3/2*z + 1
*
[ -1 ] 
1/2 |-> -1
f(z) = 8*z^3 - 6*z + 1
*
[ 2/3 ] 
-1/3 |-> 2/3
f(z) = -9/2*z^3 + 3/2*z + 1
*
[ 1/3 ] 
-2/3 |-> 1/3
f(z) = 9*z^3 - 3*z + 1
*
[ 1/2 ] 
-1/4 |-> 1/2
f(z) = -16*z^3 + 3*z + 1
*
[ 2 ] 
-4 |-> 2
f(z) = -1/16*z^3 + 3/4*z + 1
*
[ -4 ] 
2 |-> -4
f(z) = 5/16*z^3 - 15/4*z + 1
*
[ -1/3 ] 
2/3 |-> -1/3
f(z) = -18*z^3 + 6*z + 1
*
[ 1/4 ] 
-1/2 |-> 1/4
f(z) = 24*z^3 - 9/2*z + 1
*
[ 3 ] 
-6 |-> 3
f(z) = -1/27*z^3 + z + 1
*
[ 3/2 ] 
-3/4 |-> 3/2
f(z) = 16/27*z^3 - z + 1
*
[ 3/5 ] 
-6/5 |-> 3/5
f(z) = 25/27*z^3 - z + 1
*
[ 3/2 ] 
-3 |-> 3/2
f(z) = -2/27*z^3 + 1/2*z + 1
*
[ -3 ] 
6 |-> -3
f(z) = -2/27*z^3 + 2*z + 1
*
[ 3 ] 
-3/2 |-> 3
f(z) = 8/27*z^3 - 2*z + 1
*
[ 3/4 ] 
-3/2 |-> 3/4
f(z) = 8/27*z^3 - 1/2*z + 1
*
[ -3 ] 
3/2 |-> -3
f(z) = 16/27*z^3 - 4*z + 1
*
[ -3/2 ] 
3 |-> -3/2
f(z) = -10/27*z^3 + 5/2*z + 1
*
[ -1/4 ] 
1/2 |-> -1/4
f(z) = -40*z^3 + 15/2*z + 1
*
[ -2/3 ] 
4/3 |-> -2/3
f(z) = -45/16*z^3 + 15/4*z + 1
*
[ -2/3 ] 
1/3 |-> -2/3
f(z) = 45/2*z^3 - 15/2*z + 1
*
[ -1/2 ] 
1/4 |-> -1/2
f(z) = 48*z^3 - 9*z + 1
*
[ 1/5 ] 
-2/5 |-> 1/5
f(z) = 50*z^3 - 6*z + 1
*
[ 6/7 ] 
-3/7 |-> 6/7
f(z) = -49/54*z^3 + 1/2*z + 1
*
[ 6/5 ] 
-3/5 |-> 6/5
f(z) = 25/54*z^3 - 1/2*z + 1
*
[ 6 ] 
-3 |-> 6
f(z) = 5/54*z^3 - 5/2*z + 1
*
[ -6 ] 
3 |-> -6
f(z) = 7/54*z^3 - 7/2*z + 1
*
[ -3/4 ] 
3/2 |-> -3/4
f(z) = -56/27*z^3 + 7/2*z + 1
*
[ -4/3 ] 
2/3 |-> -4/3
f(z) = 63/16*z^3 - 21/4*z + 1
*
[ 3/4 ] 
-3/8 |-> 3/4
f(z) = -64/27*z^3 + z + 1
*
[ 1/3 ] 
-1/6 |-> 1/3
f(z) = -72*z^3 + 6*z + 1
*
[ -1/5 ] 
2/5 |-> -1/5
f(z) = -75*z^3 + 9*z + 1
*
[ 2/5 ] 
-1/5 |-> 2/5
f(z) = -75/2*z^3 + 9/2*z + 1
*
[ 2/5 ] 
-4/5 |-> 2/5
f(z) = 75/16*z^3 - 9/4*z + 1
*
[ -3/2 ] 
3/4 |-> -3/2
f(z) = 80/27*z^3 - 5*z + 1
*
[ 1/6 ] 
-1/3 |-> 1/6
f(z) = 90*z^3 - 15/2*z + 1
*
[ 3/7 ] 
-6/7 |-> 3/7
f(z) = 98/27*z^3 - 2*z + 1
*
[ -3/5 ] 
6/5 |-> -3/5
f(z) = -100/27*z^3 + 4*z + 1
*
[ 5/3 ] 
-10/3 |-> 5/3
f(z) = -9/125*z^3 + 3/5*z + 1
*
[ 5/7 ] 
-10/7 |-> 5/7
f(z) = 49/125*z^3 - 3/5*z + 1
*
[ 5/4 ] 
-5/8 |-> 5/4
f(z) = 64/125*z^3 - 3/5*z + 1
*
[ 5 ] 
-10 |-> 5
f(z) = -2/125*z^3 + 6/5*z + 1
*
[ 5/3 ] 
-5/6 |-> 5/3
f(z) = 72/125*z^3 - 6/5*z + 1
*
[ -5 ] 
10 |-> -5
f(z) = -3/125*z^3 + 9/5*z + 1
*
[ 5/2 ] 
-5/4 |-> 5/2
f(z) = 48/125*z^3 - 9/5*z + 1
*
[ 5/4 ] 
-5/2 |-> 5/4
f(z) = -8/125*z^3 + 3/10*z + 1
*
[ 5/2 ] 
-5 |-> 5/2
f(z) = -6/125*z^3 + 9/10*z + 1
*
[ 5/8 ] 
-5/4 |-> 5/8
f(z) = 96/125*z^3 - 9/10*z + 1
*
[ -5 ] 
5/2 |-> -5
f(z) = 24/125*z^3 - 18/5*z + 1
*
[ -5/2 ] 
5 |-> -5/2
f(z) = -14/125*z^3 + 21/10*z + 1
*
[ -5/2 ] 
5/4 |-> -5/2
f(z) = 112/125*z^3 - 21/5*z + 1
*
[ -5/4 ] 
5/2 |-> -5/4
5/6 | 0.15109688398179484860152963688559721384 | 0.023193176913770868081853629037643193807
f(z) = -72/125*z^3 + 27/10*z + 1
*
[ -1/6 ] 
1/3 |-> -1/6
f(z) = -126*z^3 + 21/2*z + 1
*
[ 8/9 ] 
-4/9 |-> 8/9
f(z) = -81/128*z^3 + 3/8*z + 1
*
[ 4/3 ] 
-8/3 |-> 4/3
f(z) = -9/128*z^3 + 3/8*z + 1
*
[ 4/5 ] 
-8/5 |-> 4/5
f(z) = 25/128*z^3 - 3/8*z + 1
*
[ 8/7 ] 
-4/7 |-> 8/7
f(z) = 49/128*z^3 - 3/8*z + 1
*
[ 4 ] 
-8 |-> 4
f(z) = -3/128*z^3 + 9/8*z + 1
*
[ 8/5 ] 
-4/5 |-> 8/5
f(z) = 75/128*z^3 - 9/8*z + 1
*
[ -4 ] 
8 |-> -4
f(z) = -5/128*z^3 + 15/8*z + 1
*
[ 8/3 ] 
-4/3 |-> 8/3
f(z) = 45/128*z^3 - 15/8*z + 1
*
[ -4/3 ] 
8/3 |-> -4/3
f(z) = -63/128*z^3 + 21/8*z + 1
*
[ 8 ] 
-4 |-> 8
f(z) = 7/128*z^3 - 21/8*z + 1
*
[ -8/3 ] 
4/3 |-> -8/3
f(z) = 99/128*z^3 - 33/8*z + 1
*
[ 5/6 ] 
-5/12 |-> 5/6
f(z) = -144/125*z^3 + 3/5*z + 1
*
[ 4/7 ] 
-2/7 |-> 4/7
f(z) = -147/16*z^3 + 9/4*z + 1
*
[ 1/7 ] 
-2/7 |-> 1/7
f(z) = 147*z^3 - 9*z + 1
*
[ 4/7 ] 
-8/7 |-> 4/7
f(z) = 147/128*z^3 - 9/8*z + 1
*
[ 3/8 ] 
-3/4 |-> 3/8
f(z) = 160/27*z^3 - 5/2*z + 1
*
[ 5/9 ] 
-10/9 |-> 5/9
f(z) = 162/125*z^3 - 6/5*z + 1
*
[ -2/5 ] 
4/5 |-> -2/5
f(z) = -175/16*z^3 + 21/4*z + 1
*
[ -2/5 ] 
1/5 |-> -2/5
f(z) = 175/2*z^3 - 21/2*z + 1
*
[ 1/4 ] 
-1/8 |-> 1/4
f(z) = -192*z^3 + 9*z + 1
*
[ -1/7 ] 
2/7 |-> -1/7
f(z) = -196*z^3 + 12*z + 1
*
[ -5/6 ] 
5/3 |-> -5/6
f(z) = -198/125*z^3 + 33/10*z + 1
*
[ 3/5 ] 
-3/10 |-> 3/5
f(z) = -200/27*z^3 + 2*z + 1
*
[ 1/8 ] 
-1/4 |-> 1/8
f(z) = 224*z^3 - 21/2*z + 1
*
[ -3/7 ] 
6/7 |-> -3/7
f(z) = -245/27*z^3 + 5*z + 1
*
[ 2/7 ] 
-1/7 |-> 2/7
f(z) = -245/2*z^3 + 15/2*z + 1
*
[ 2/7 ] 
-4/7 |-> 2/7
f(z) = 245/16*z^3 - 15/4*z + 1
*
[ 10/9 ] 
-5/9 |-> 10/9
f(z) = 81/250*z^3 - 3/10*z + 1
*
[ 10/7 ] 
-5/7 |-> 10/7
f(z) = 147/250*z^3 - 9/10*z + 1
*
[ 10/3 ] 
-5/3 |-> 10/3
f(z) = 63/250*z^3 - 21/10*z + 1
*
[ 10 ] 
-5 |-> 10
10/3 | 0.089413574286617043929066631134006938208 | 0.013724868390879366152977553275501615967
f(z) = 9/250*z^3 - 27/10*z + 1
*
[ -10 ] 
5 |-> -10
f(z) = 11/250*z^3 - 33/10*z + 1
*
[ -10/3 ] 
5/3 |-> -10/3
f(z) = 117/250*z^3 - 39/10*z + 1
*
[ -6/5 ] 
3/5 |-> -6/5
f(z) = 275/54*z^3 - 11/2*z + 1
*
[ -5/3 ] 
5/6 |-> -5/3
f(z) = 288/125*z^3 - 24/5*z + 1
*
[ -1/8 ] 
1/4 |-> -1/8
f(z) = -288*z^3 + 27/2*z + 1
*
[ -5/7 ] 
10/7 |-> -5/7
f(z) = -294/125*z^3 + 18/5*z + 1
*
TOTAL: 91