[ -7/10 -3/10 3/10 17/10 ] 
f(z) = -25/21*z^3 + 205/84*z + 1
*
[ -14/5 -2/5 -4/5 -12/5 ] 
2/5 | 0.056810190649023039016990720424218446247 | 0.010532835306257476788382115406718052426
f(z) = -25/48*z^3 + 55/12*z + 1
*
[ -1 0 1 2 ] 
f(z) = -2/3*z^3 + 5/3*z + 1
*
[ 0 1 4 5 ] 
f(z) = -2/15*z^3 + 47/15*z + 1
*
[ 0 1 1/6 2/3 ] 
-3/2 |-> 0
5/6 |-> 0
f(z) = 6/5*z^3 - 61/30*z + 1
*
[ -2 2 0 1 ] 
f(z) = 5/6*z^3 - 23/6*z + 1
*
[ -1 3 0 1 ] 
f(z) = 5/24*z^3 - 53/24*z + 1
*
[ -12 ] [ -20/3 28/3 -4/3 4 ] 
-8/3 | 0.19254191710529458678252345316333916970 | 0.028398839947270084888325585000716672270
f(z) = 3/128*z^3 - 55/24*z + 1
*
[ 5/7 -1/7 9/7 1/7 ] 
4/7 | 0.089414521636157459539646990288589015789 | 0.018644375892990880063940082321021921510
f(z) = 49/60*z^3 - 121/60*z + 1
*
TOTAL: 9