Chebyshev.java running
T[2][0]=-1.0
T[2][1]=0.0
T[2][2]=2.0

T[3][0]=0.0
T[3][1]=-3.0
T[3][2]=0.0
T[3][3]=4.0

T[4][0]=1.0
T[4][1]=0.0
T[4][2]=-8.0
T[4][3]=0.0
T[4][4]=8.0

T[5][0]=0.0
T[5][1]=5.0
T[5][2]=0.0
T[5][3]=-20.0
T[5][4]=0.0
T[5][5]=16.0

T[6][0]=-1.0
T[6][1]=0.0
T[6][2]=18.0
T[6][3]=0.0
T[6][4]=-48.0
T[6][5]=0.0
T[6][6]=32.0

T[7][0]=0.0
T[7][1]=-7.0
T[7][2]=0.0
T[7][3]=56.0
T[7][4]=0.0
T[7][5]=-112.0
T[7][6]=0.0
T[7][7]=64.0

T[8][0]=1.0
T[8][1]=0.0
T[8][2]=-32.0
T[8][3]=0.0
T[8][4]=160.0
T[8][5]=0.0
T[8][6]=-256.0
T[8][7]=0.0
T[8][8]=128.0

T[9][0]=0.0
T[9][1]=9.0
T[9][2]=0.0
T[9][3]=-120.0
T[9][4]=0.0
T[9][5]=432.0
T[9][6]=0.0
T[9][7]=-576.0
T[9][8]=0.0
T[9][9]=256.0

T[10][0]=-1.0
T[10][1]=0.0
T[10][2]=50.0
T[10][3]=0.0
T[10][4]=-400.0
T[10][5]=0.0
T[10][6]=1120.0
T[10][7]=0.0
T[10][8]=-1280.0
T[10][9]=0.0
T[10][10]=512.0

T[11][0]=0.0
T[11][1]=-11.0
T[11][2]=0.0
T[11][3]=220.0
T[11][4]=0.0
T[11][5]=-1232.0
T[11][6]=0.0
T[11][7]=2816.0
T[11][8]=0.0
T[11][9]=-2816.0
T[11][10]=0.0
T[11][11]=1024.0

T[12][0]=1.0
T[12][1]=0.0
T[12][2]=-72.0
T[12][3]=0.0
T[12][4]=840.0
T[12][5]=0.0
T[12][6]=-3584.0
T[12][7]=0.0
T[12][8]=6912.0
T[12][9]=0.0
T[12][10]=-6144.0
T[12][11]=0.0
T[12][12]=2048.0

T[13][0]=0.0
T[13][1]=13.0
T[13][2]=0.0
T[13][3]=-364.0
T[13][4]=0.0
T[13][5]=2912.0
T[13][6]=0.0
T[13][7]=-9984.0
T[13][8]=0.0
T[13][9]=16640.0
T[13][10]=0.0
T[13][11]=-13312.0
T[13][12]=0.0
T[13][13]=4096.0

T[14][0]=-1.0
T[14][1]=0.0
T[14][2]=98.0
T[14][3]=0.0
T[14][4]=-1568.0
T[14][5]=0.0
T[14][6]=9408.0
T[14][7]=0.0
T[14][8]=-26880.0
T[14][9]=0.0
T[14][10]=39424.0
T[14][11]=0.0
T[14][12]=-28672.0
T[14][13]=0.0
T[14][14]=8192.0

R[2][0]=0.7071067811865475
R[2][1]=-0.7071067811865475

R[3][0]=0.0
R[3][1]=0.8660254037844387
R[3][2]=-0.8660254037844387

R[4][0]=0.9238795325112867
R[4][1]=-0.9238795325112867
R[4][2]=0.38268343236508984
R[4][3]=-0.38268343236508984

R[5][0]=0.0
R[5][1]=0.9510565162951535
R[5][2]=-0.9510565162951535
R[5][3]=0.5877852522924732
R[5][4]=-0.5877852522924732

R[6][0]=0.9659258262890682
R[6][1]=-0.9659258262890682
R[6][2]=0.7071067811865478
R[6][3]=-0.7071067811865478
R[6][4]=0.2588190451025204
R[6][5]=-0.2588190451025204

R[7][0]=0.0
R[7][1]=0.9749279121818236
R[7][2]=-0.9749279121818236
R[7][3]=0.7818314824680297
R[7][4]=-0.7818314824680297
R[7][5]=0.4338837391175582
R[7][6]=-0.4338837391175582

R[8][0]=0.9807852804032301
R[8][1]=-0.9807852804032301
R[8][2]=0.8314696123025471
R[8][3]=-0.8314696123025471
R[8][4]=0.5555702330195985
R[8][5]=-0.5555702330195985
R[8][6]=0.19509032201613283
R[8][7]=-0.19509032201613283

R[9][0]=0.0
R[9][1]=0.9848077530122088
R[9][2]=-0.9848077530122088
R[9][3]=0.8660254037844355
R[9][4]=-0.8660254037844355
R[9][5]=0.642787609686544
R[9][6]=-0.642787609686544
R[9][7]=0.3420201433256656
R[9][8]=-0.3420201433256656

R[10][0]=0.9876883405951382
R[10][1]=-0.9876883405951382
R[10][2]=0.8910065241883676
R[10][3]=-0.8910065241883676
R[10][4]=0.7071067811865468
R[10][5]=-0.7071067811865468
R[10][6]=0.4539904997395478
R[10][7]=-0.4539904997395478
R[10][8]=0.15643446504023015
R[10][9]=-0.15643446504023015

R[11][0]=0.0
R[11][1]=0.9898214418809284
R[11][2]=-0.9898214418809284
R[11][3]=0.9096319953545301
R[11][4]=-0.9096319953545301
R[11][5]=0.755749574354243
R[11][6]=-0.755749574354243
R[11][7]=0.5406408174556112
R[11][8]=-0.5406408174556112
R[11][9]=0.2817325568414219
R[11][10]=-0.2817325568414219

R[12][0]=0.9914448613738134
R[12][1]=-0.9914448613738134
R[12][2]=0.923879532511278
R[12][3]=-0.923879532511278
R[12][4]=0.7933533402912472
R[12][5]=-0.7933533402912472
R[12][6]=0.6087614290087091
R[12][7]=-0.6087614290087091
R[12][8]=0.3826834323651
R[12][9]=-0.3826834323651
R[12][10]=0.13052619222004208
R[12][11]=-0.13052619222004208

R[13][0]=0.0
R[13][1]=0.9927088740980639
R[13][2]=-0.9927088740980639
R[13][3]=0.9350162426853829
R[13][4]=-0.9350162426853829
R[13][5]=0.822983865893708
R[13][6]=-0.822983865893708
R[13][7]=0.6631226582407392
R[13][8]=-0.6631226582407392
R[13][9]=0.4647231720438122
R[13][10]=-0.4647231720438122
R[13][11]=0.23931566428753467
R[13][12]=-0.23931566428753467

R[14][0]=0.9937122098932429
R[14][1]=-0.9937122098932429
R[14][2]=0.9438833303083387
R[14][3]=-0.9438833303083387
R[14][4]=0.8467241992283733
R[14][5]=-0.8467241992283733
R[14][6]=0.7071067811864037
R[14][7]=-0.7071067811864037
R[14][8]=0.5320320765155169
R[14][9]=-0.5320320765155169
R[14][10]=0.33027906195496587
R[14][11]=-0.33027906195496587
R[14][12]=0.11196447610351817
R[14][13]=-0.11196447610351817

W[2][0]=1.414213562373095
W[2][1]=1.414213562373095
                            sum W=2.82842712474619
W[3][0]=1.0
W[3][1]=2.0000000000000004
W[3][2]=2.0000000000000004
                            sum W=5.000000000000001
W[4][0]=2.6131259297527527
W[4][1]=2.6131259297527527
W[4][2]=1.082392200292394
W[4][3]=1.082392200292394
                            sum W=7.391036260090293
W[5][0]=1.0
W[5][1]=3.236067977499788
W[5][2]=3.236067977499788
W[5][3]=1.2360679774997898
W[5][4]=1.2360679774997898
                            sum W=9.944271909999156
W[6][0]=3.8637033051562693
W[6][1]=3.8637033051562693
W[6][2]=1.4142135623730956
W[6][3]=1.4142135623730956
W[6][4]=1.035276180410083
W[6][5]=1.035276180410083
                            sum W=12.626386095878896
W[7][0]=1.0
W[7][1]=4.493959207434937
W[7][2]=4.493959207434937
W[7][3]=1.6038754716096764
W[7][4]=1.6038754716096764
W[7][5]=1.1099162641747424
W[7][6]=1.1099162641747424
                            sum W=15.415501886438712
W[8][0]=5.1258308954829666
W[8][1]=5.1258308954829666
W[8][2]=1.7999524462728405
W[8][3]=1.7999524462728405
W[8][4]=1.202689773870087
W[8][5]=1.202689773870087
W[8][6]=1.0195911582083192
W[8][7]=1.0195911582083192
                            sum W=18.296128547668424
W[9][0]=1.0
W[9][1]=5.758770483143773
W[9][2]=5.758770483143773
W[9][3]=1.9999999999999782
W[9][4]=1.9999999999999782
W[9][5]=1.3054072893322852
W[9][6]=1.3054072893322852
W[9][7]=1.064177772475911
W[9][8]=1.064177772475911
                            sum W=21.2567110899039
W[10][0]=6.392453221499782
W[10][1]=6.392453221499782
W[10][2]=2.202689264585264
W[10][3]=2.202689264585264
W[10][4]=1.4142135623730934
W[10][5]=1.4142135623730934
W[10][6]=1.1223262376343615
W[10][7]=1.1223262376343615
W[10][8]=1.0124651257880029
W[10][9]=1.0124651257880029
                            sum W=24.288294823761007
W[11][0]=1.0
W[11][1]=7.026674183330776
W[11][2]=7.026674183330776
W[11][3]=2.4072312475512794
W[11][4]=2.4072312475512794
W[11][5]=1.5270422368666938
W[11][6]=1.5270422368666938
W[11][7]=1.1887022888742933
W[11][8]=1.1887022888742933
W[11][9]=1.042217116226403
W[11][10]=1.042217116226403
                            sum W=27.383734145698895
W[12][0]=7.6612975755417025
W[12][1]=7.6612975755417025
W[12][2]=2.6131259297526084
W[12][3]=2.6131259297526084
W[12][4]=1.6426796317046237
W[12][5]=1.6426796317046237
W[12][6]=1.2604724140102506
W[12][7]=1.2604724140102506
W[12][8]=1.082392200292399
W[12][9]=1.082392200292399
W[12][10]=1.0086289605801515
W[12][11]=1.0086289605801515
                            sum W=30.537193423763476
W[13][0]=1.0
W[13][1]=8.296229810564332
W[13][2]=8.296229810564332
W[13][3]=2.820040096852389
W[13][4]=2.820040096852389
W[13][5]=1.7603627152617425
W[13][6]=1.7603627152617425
W[13][7]=1.3359861597756844
W[13][8]=1.3359861597756844
W[13][9]=1.129361561758322
W[13][10]=1.129361561758322
W[13][11]=1.0299278309497215
W[13][12]=1.0299278309497215
                            sum W=33.74381635032439
W[14][0]=8.931404270380765
W[14][1]=8.931404270380765
W[14][2]=3.0277426430849346
W[14][3]=3.0277426430849346
W[14][4]=1.8795859199881157
W[14][5]=1.8795859199881157
W[14][6]=1.4142135623728074
W[14][7]=1.4142135623728074
W[14][8]=1.1810221095742242
W[14][9]=1.1810221095742242
W[14][10]=1.0594529725122113
W[14][11]=1.0594529725122113
W[14][12]=1.006327576580202
W[14][13]=1.006327576580202
                            sum W=36.99949810898653

Chebyshev quadrature of e^x from 1.0 to 3.0 = 17.367255094728623
n=2 approx=26.34562146973092  err=-8.978366375002295
n=3 approx=48.739140635249285  err=-31.371885540520662
n=4 approx=73.4854105178892  err=-56.11815542316059
n=5 approx=100.03452400972827  err=-82.66726891499965
n=6 approx=128.03180786274172  err=-110.6645527680131
n=7 approx=157.23742019595161  err=-139.870165101223
n=8 approx=187.47928102701286  err=-170.11202593228424
n=9 approx=218.62808926798735  err=-201.26083417325873
n=10 approx=250.58318480376647  err=-233.21592970903785
n=11 approx=283.26399878304676  err=-265.8967436883181
n=12 approx=316.6045913664068  err=-299.23733627167815
n=13 approx=350.55000219239935  err=-333.1827470976707
n=14 approx=385.05372042538784  err=-367.6864653306592