[ -1/3 1 ] [ 2/3 ] 
1/3 |-> 1
0 |-> 1
f(z) = -3/2*z^3 + 1/6*z + 1
*
[ 1 3 ] [ -1 ] 
0 |-> 1
-3 |-> 1
f(z) = -1/4*z^3 + 9/4*z + 1
*
[ 0 1 ] [ -1/2 ] 
-1/4 |-> 0
-3/4 |-> 0
f(z) = -16/3*z^3 + 13/3*z + 1
*
[ 1/6 1/2 ] [ 2/3 ] 
1/3 |-> 1/6
-5/6 |-> 1/6
f(z) = 6*z^3 - 19/6*z + 1
*
[ 1 -1/6 ] [ 2/3 ] 
1/6 |-> 1
0 |-> 1
f(z) = -6/5*z^3 + 1/30*z + 1
*
[ 0 1 ] [ 5/7 ] 
3/7 |-> 1
-3/7 |-> 1
f(z) = -49/40*z^3 + 9/40*z + 1
*
[ -2/5 14/15 ] [ 2/3 ] 
8/15 |-> 14/15
-2/15 |-> 14/15
f(z) = -75/32*z^3 + 13/24*z + 1
*
[ -2/5 8/5 ] [ 2/5 ] 
6/5 |-> -2/5
-14/5 |-> -2/5
-2 | 0.064181328112712122075628615856269434869 | 0.012843426413896960044073819716941532396
f(z) = 25/96*z^3 - 37/24*z + 1
*
[ 1/5 ] [ 1 -11/5 ] 
0 |-> 1
11/5 |-> 1
-1/5 | 0.13717715966993115768901616484584137260 | 0.028603659472968534077376348221946599437
f(z) = 5/6*z^3 - 121/30*z + 1
*
[ 0 1 ] [ 7/2 ] 
-11/4 |-> 1
11/4 |-> 1
f(z) = 16/105*z^3 - 121/105*z + 1
*
[ -7/6 -4/3 ] [ -1/2 ] 
13/6 |-> -7/6
-5/6 |-> -7/6
f(z) = -9/10*z^3 + 129/40*z + 1
*
[ 20/21 -2/7 ] [ 2/3 ] 
-4/21 |-> 20/21
10/21 |-> 20/21
f(z) = -147/80*z^3 + 19/60*z + 1
*
[ 2/7 8/21 ] [ 2/3 ] 
10/21 |-> 2/7
-6/7 |-> 2/7
f(z) = 147/32*z^3 - 61/24*z + 1
*
[ 2/11 8/11 ] [ -2 ] 
-18/11 |-> 2/11
10/11 |-> 2/11
f(z) = 121/160*z^3 - 61/40*z + 1
*
[ 1 13/2 ] [ 6 ] 
-13/2 |-> 1
0 |-> 1
f(z) = -2/15*z^3 + 169/30*z + 1
*
[ -10/7 34/21 ] [ -2/3 ] 
4/21 |-> 34/21
26/21 |-> 34/21
f(z) = -147/80*z^3 + 199/60*z + 1
*
[ -5/24 7/8 ] [ 2/3 ] 
7/12 |-> 7/8
-3/8 |-> 7/8
f(z) = -96/35*z^3 + 151/210*z + 1
*
[ 3/2 7/2 ] [ -3/2 ] 
1/4 |-> 3/2
-15/4 |-> 3/2
f(z) = -16/105*z^3 + 211/105*z + 1
*
[ -22/35 -4/7 ] [ -12/35 ] 
38/35 |-> -22/35
-18/35 |-> -22/35
-6/7 | 0.18789898225446051683456749094184022030 | 0.026424836472374169040240931105623003754
-4/5 | 0.20454938898736742392210174847144920987 | 0.028766436569599486081790606979165363775
f(z) = -245/48*z^3 + 271/60*z + 1
*
[ 1 -17/3 ] [ 6 ] 
17/3 |-> 1
0 |-> 1
f(z) = 3/14*z^3 - 289/42*z + 1
*
[ 10/17 2/17 ] [ 4/17 ] 
12/17 |-> 10/17
-14/17 |-> 10/17
f(z) = 289/48*z^3 - 43/12*z + 1
*
TOTAL: 21