peval.c running

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=3
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
polynomial coefficients are:
c[0]=-0.65
c[1]=7.01
c[2]=-5.2
c[3]=1
polynomial evaluated at each root:
r[0]=0.1, peval(3,r[0],c)=1.11022e-16
r[1]=2.5, peval(3,r[1],c)=1.66533e-15
r[2]=2.6, peval(3,r[2],c)=0

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=4
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
polynomial coefficients are:
c[0]=3.315
c[1]=-36.401
c[2]=33.53
c[3]=-10.3
c[4]=1
polynomial evaluated at each root:
r[0]=0.1, peval(4,r[0],c)=-4.44089e-16
r[1]=2.5, peval(4,r[1],c)=-1.33227e-15
r[2]=2.6, peval(4,r[2],c)=-1.5099e-14
r[3]=5.1, peval(4,r[3],c)=-6.4837e-14

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=5
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
r[4]=7.7
polynomial coefficients are:
c[0]=-25.5255
c[1]=283.603
c[2]=-294.582
c[3]=112.84
c[4]=-18
c[5]=1
polynomial evaluated at each root:
r[0]=0.1, peval(5,r[0],c)=7.10543e-15
r[1]=2.5, peval(5,r[1],c)=2.52243e-13
r[2]=2.6, peval(5,r[2],c)=2.8777e-13
r[3]=5.1, peval(5,r[3],c)=1.42819e-12
r[4]=7.7, peval(5,r[4],c)=-1.77636e-14

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=6
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
r[4]=7.7
r[5]=12.8
polynomial coefficients are:
c[0]=326.726
c[1]=-3655.64
c[2]=4054.25
c[3]=-1738.93
c[4]=343.24
c[5]=-30.8
c[6]=1
polynomial evaluated at each root:
r[0]=0.1, peval(6,r[0],c)=-5.68434e-14
r[1]=2.5, peval(6,r[1],c)=-3.46745e-12
r[2]=2.6, peval(6,r[2],c)=-1.81899e-12
r[3]=5.1, peval(6,r[3],c)=3.0866e-11
r[4]=7.7, peval(6,r[4],c)=8.21387e-11
r[5]=12.8, peval(6,r[5],c)=1.17331e-09

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=7
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
r[4]=7.7
r[5]=12.8
r[6]=20.5
polynomial coefficients are:
c[0]=-6697.89
c[1]=75267.3
c[2]=-86767.8
c[3]=39702.4
c[4]=-8775.35
c[5]=974.64
c[6]=-51.3
c[7]=1
polynomial evaluated at each root:
r[0]=0.1, peval(7,r[0],c)=1.81899e-12
r[1]=2.5, peval(7,r[1],c)=5.00222e-11
r[2]=2.6, peval(7,r[2],c)=6.00267e-11
r[3]=5.1, peval(7,r[3],c)=4.72937e-10
r[4]=7.7, peval(7,r[4],c)=1.11868e-09
r[5]=12.8, peval(7,r[5],c)=1.66256e-08
r[6]=20.5, peval(7,r[6],c)=1.32443e-07

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=8
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
r[4]=7.7
r[5]=12.8
r[6]=20.5
r[7]=33.3
polynomial coefficients are:
c[0]=223040
c[1]=-2.5131e+06
c[2]=2.96464e+06
c[3]=-1.40886e+06
c[4]=331922
c[5]=-41230.9
c[6]=2682.93
c[7]=-84.6
c[8]=1
polynomial evaluated at each root:
r[0]=0.1, peval(8,r[0],c)=-2.91038e-11
r[1]=2.5, peval(8,r[1],c)=9.60426e-10
r[2]=2.6, peval(8,r[2],c)=-5.82077e-11
r[3]=5.1, peval(8,r[3],c)=-3.66708e-09
r[4]=7.7, peval(8,r[4],c)=3.62343e-08
r[5]=12.8, peval(8,r[5],c)=3.78059e-07
r[6]=20.5, peval(8,r[6],c)=-2.03421e-06
r[7]=33.3, peval(8,r[7],c)=0.000132939

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=9
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
r[4]=7.7
r[5]=12.8
r[6]=20.5
r[7]=33.3
r[8]=53.8
polynomial coefficients are:
c[0]=-1.19995e+07
c[1]=1.35428e+08
c[2]=-1.6201e+08
c[3]=7.87612e+07
c[4]=-1.92662e+07
c[5]=2.55014e+06
c[6]=-185572
c[7]=7234.41
c[8]=-138.4
c[9]=1
polynomial evaluated at each root:
r[0]=0.1, peval(9,r[0],c)=1.86265e-09
r[1]=2.5, peval(9,r[1],c)=1.17347e-07
r[2]=2.6, peval(9,r[2],c)=-8.00937e-08
r[3]=5.1, peval(9,r[3],c)=-4.52623e-07
r[4]=7.7, peval(9,r[4],c)=-1.00583e-07
r[5]=12.8, peval(9,r[5],c)=-1.84644e-05
r[6]=20.5, peval(9,r[6],c)=0.000119409
r[7]=33.3, peval(9,r[7],c)=0.00502823
r[8]=53.8, peval(9,r[8],c)=1.08349

y = c[0] + c[1]*x + c[2]*x^2 +...+ c[n]*x^n, for n=10
roots are:
r[0]=0.1
r[1]=2.5
r[2]=2.6
r[3]=5.1
r[4]=7.7
r[5]=12.8
r[6]=20.5
r[7]=33.3
r[8]=53.8
r[9]=87.1
polynomial coefficients are:
c[0]=1.04516e+09
c[1]=-1.18078e+10
c[2]=1.42465e+10
c[3]=-7.02211e+09
c[4]=1.75685e+09
c[5]=-2.41384e+08
c[6]=1.87135e+07
c[7]=-815690
c[8]=19289
c[9]=-225.5
c[10]=1
polynomial evaluated at each root:
r[0]=0.1, peval(10,r[0],c)=-1.19209e-07
r[1]=2.5, peval(10,r[1],c)=-4.76837e-06
r[2]=2.6, peval(10,r[2],c)=-2.74181e-06
r[3]=5.1, peval(10,r[3],c)=-6.30617e-05
r[4]=7.7, peval(10,r[4],c)=-0.000307322
r[5]=12.8, peval(10,r[5],c)=-0.00250769
r[6]=20.5, peval(10,r[6],c)=-0.122516
r[7]=33.3, peval(10,r[7],c)=0.843804
r[8]=53.8, peval(10,r[8],c)=26.7128
r[9]=87.1, peval(10,r[9],c)=-1209.69