peval.java 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]=7.010000000000001
c[2]=-5.2
c[3]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(3+,r[0],c)=1.1102230246251565E-16
r[1]=2.5, eval(3+,r[1],c)=1.6653345369377348E-15
r[2]=2.6, eval(3+,r[2],c)=0.0
 
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]=-36.400999999999996
c[2]=33.53
c[3]=-10.3
c[4]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(4+,r[0],c)=0.0
r[1]=2.5, eval(4+,r[1],c)=1.6431300764452317E-14
r[2]=2.6, eval(4+,r[2],c)=3.552713678800501E-15
r[3]=5.1, eval(4+,r[3],c)=-2.886579864025407E-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]=7.699999999999999
polynomial coefficients are:
c[0]=-25.525499999999997
c[1]=283.60269999999997
c[2]=-294.582
c[3]=112.84
c[4]=-18.0
c[5]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(5+,r[0],c)=0.0
r[1]=2.5, eval(5+,r[1],c)=1.1013412404281553E-13
r[2]=2.6, eval(5+,r[2],c)=1.3855583347321954E-13
r[3]=5.1, eval(5+,r[3],c)=1.1368683772161603E-12
r[4]=7.699999999999999, eval(5+,r[4],c)=-4.547473508864641E-13
 
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]=7.699999999999999
r[5]=12.799999999999999
polynomial coefficients are:
c[0]=326.72639999999996
c[1]=-3655.6400599999997
c[2]=4054.2522999999997
c[3]=-1738.9339999999997
c[4]=343.24
c[5]=-30.799999999999997
c[6]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(6+,r[0],c)=-5.6843418860808015E-14
r[1]=2.5, eval(6+,r[1],c)=1.0800249583553523E-12
r[2]=2.6, eval(6+,r[2],c)=1.7621459846850485E-12
r[3]=5.1, eval(6+,r[3],c)=6.798472895752639E-11
r[4]=7.699999999999999, eval(6+,r[4],c)=1.9417711882852018E-10
r[5]=12.799999999999999, eval(6+,r[5],c)=1.1791030374297407E-9
 
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]=7.699999999999999
r[5]=12.799999999999999
r[6]=20.5
polynomial coefficients are:
c[0]=-6697.891199999999
c[1]=75267.34762999999
c[2]=-86767.81221
c[3]=39702.3993
c[4]=-8775.354
c[5]=974.64
c[6]=-51.3
c[7]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(7+,r[0],c)=-9.094947017729282E-13
r[1]=2.5, eval(7+,r[1],c)=-9.549694368615746E-11
r[2]=2.6, eval(7+,r[2],c)=-5.275069270282984E-11
r[3]=5.1, eval(7+,r[3],c)=-3.4378899727016687E-10
r[4]=7.699999999999999, eval(7+,r[4],c)=1.7917045624926686E-9
r[5]=12.799999999999999, eval(7+,r[5],c)=1.4018041838426143E-8
r[6]=20.5, eval(7+,r[6],c)=1.2588043318828568E-7
 
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]=7.699999999999999
r[5]=12.799999999999999
r[6]=20.5
r[7]=33.3
polynomial coefficients are:
c[0]=223039.77695999996
c[1]=-2513100.5672789994
c[2]=2964635.494223
c[3]=-1408857.7089
c[4]=331921.68749999994
c[5]=-41230.865999999995
c[6]=2682.93
c[7]=-84.6
c[8]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(8+,r[0],c)=2.9103830456733704E-11
r[1]=2.5, eval(8+,r[1],c)=9.604264050722122E-10
r[2]=2.6, eval(8+,r[2],c)=-5.820766091346741E-11
r[3]=5.1, eval(8+,r[3],c)=-1.3096723705530167E-9
r[4]=7.699999999999999, eval(8+,r[4],c)=-4.2637111619114876E-8
r[5]=12.799999999999999, eval(8+,r[5],c)=2.561137080192566E-9
r[6]=20.5, eval(8+,r[6],c)=-3.7906866054981947E-6
r[7]=33.3, eval(8+,r[7],c)=1.2468942441046238E-4
 
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]=7.699999999999999
r[5]=12.799999999999999
r[6]=20.5
r[7]=33.3
r[8]=53.8
polynomial coefficients are:
c[0]=-1.1999540000447998E7
c[1]=1.3542785029657015E8
c[2]=-1.620104901564764E8
c[3]=7.8761180233043E7
c[4]=-1.92662444964E7
c[5]=2550142.2782999994
c[6]=-185572.5
c[7]=7234.41
c[8]=-138.39999999999998
c[9]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(9+,r[0],c)=-1.862645149230957E-9
r[1]=2.5, eval(9+,r[1],c)=-1.434236764907837E-7
r[2]=2.6, eval(9+,r[2],c)=-1.1920928955078125E-7
r[3]=5.1, eval(9+,r[3],c)=-2.125278115272522E-6
r[4]=7.699999999999999, eval(9+,r[4],c)=-9.164214134216309E-6
r[5]=12.799999999999999, eval(9+,r[5],c)=-1.3595633208751678E-4
r[6]=20.5, eval(9+,r[6],c)=-4.072282463312149E-4
r[7]=33.3, eval(9+,r[7],c)=0.0011270362883806229
r[8]=53.8, eval(9+,r[8],c)=1.0532127749174833
 
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]=7.699999999999999
r[5]=12.799999999999999
r[6]=20.5
r[7]=33.3
r[8]=53.8
r[9]=87.1
polynomial coefficients are:
c[0]=1.0451599340390205E9
c[1]=-1.1807765300831707E10
c[2]=1.4246541542925665E10
c[3]=-7.022109288454521E9
c[4]=1.7568510758694828E9
c[5]=-2.4138363693632993E8
c[6]=1.87135070283E7
c[7]=-815689.6109999999
c[8]=19289.049999999996
c[9]=-225.49999999999997
c[10]=1.0
polynomial evaluated at each root:
r[0]=0.1, eval(10+,r[0],c)=3.5762786865234375E-7
r[1]=2.5, eval(10+,r[1],c)=2.86102294921875E-5
r[2]=2.6, eval(10+,r[2],c)=3.2067298889160156E-5
r[3]=5.1, eval(10+,r[3],c)=1.995563507080078E-4
r[4]=7.699999999999999, eval(10+,r[4],c)=7.354021072387695E-4
r[5]=12.799999999999999, eval(10+,r[5],c)=0.016291141510009766
r[6]=20.5, eval(10+,r[6],c)=0.04346656799316406
r[7]=33.3, eval(10+,r[7],c)=1.1315888166427612
r[8]=53.8, eval(10+,r[8],c)=-145.24595522880554
r[9]=87.1, eval(10+,r[9],c)=-4489.674022436142