Test case -- Root solving for Chebyshev polynomials:

Roots of a degree 30 Chebyshev polynomial:

Computed            Standard            Error
0.0006852326227131  0.0006852326227131  -0.0000000000000000
0.0061558297024311  0.0061558297024312  -0.0000000000000001
0.0170370868554397  0.0170370868554658  -0.0000000000000262
0.0332097867513982  0.0332097867513991  -0.0000000000000009
0.0544967379058075  0.0544967379058161  -0.0000000000000086
0.0806647160273189  0.0806647160272880  0.0000000000000308
0.1114270192709454  0.1114270192715145  -0.0000000000005692
0.1464466094090629  0.1464466094067263  0.0000000000023366
0.1853398044736085  0.1853398044750814  -0.0000000000014728
0.2276804824779569  0.2276804824924866  -0.0000000000145297
0.2730047502087240  0.2730047501302266  0.0000000000784974
0.3208160250078186  0.3208160252273499  -0.0000000002195312
0.3705904777798316  0.3705904774487397  0.0000000003310919
0.4217827669043023  0.4217827674798846  -0.0000000005755822
0.4738320221827591  0.4738320218785282  0.0000000003042309
0.5261679777349354  0.5261679781214719  -0.0000000003865365
0.5782172330498238  0.5782172325201155  0.0000000005297083
0.6294095221315767  0.6294095225512604  -0.0000000004196836
0.6791839750767467  0.6791839747726502  0.0000000003040964
0.7269952496929356  0.7269952498697734  -0.0000000001768378
0.7723195175621024  0.7723195175075136  0.0000000000545888
0.8146601955031142  0.8146601955249186  -0.0000000000218044
0.8535533905999059  0.8535533905932738  0.0000000000066320
0.8885729807274140  0.8885729807284855  -0.0000000000010715
0.9193352839728702  0.9193352839727120  0.0000000000001582
0.9455032620941644  0.9455032620941839  -0.0000000000000195
0.9667902132486033  0.9667902132486008  0.0000000000000024
0.9829629131445601  0.9829629131445341  0.0000000000000260
0.9938441702975689  0.9938441702975689  0.0000000000000000
0.9993147673772870  0.9993147673772869  0.0000000000000001

RMS error: 0.0000000002098754
Time taken: 1.550000 seconds
