test_psimeq.java
fit data to 3 degree polynomial
C[0]=4.742947368420981
C[1]=4.298227554180048
C[2]=-6.093034055728222
C[3]=1.6648606811148006
max_err=8.727809597523219, avg_err=1.5815029239766212, rms_err=2.563515377425943
fit data to 4 degree polynomial
C[0]=2.1049425837278437
C[1]=46.06663664513238
C[2]=-124.0920225866462
C[3]=111.581726709903
C[4]=-32.32849000846482
max_err=6.904482761045848, avg_err=1.3535791975485667, rms_err=2.048186075873619
fit data to 5 degree polynomial
C[0]=0.8415032246344682
C[1]=82.52438943343472
C[2]=-291.1332840068977
C[3]=383.6118451305042
C[4]=-214.55532064961466
C[5]=42.8769013273997
max_err=5.659623392525079, avg_err=1.3318572356731768, rms_err=1.8455230753331118
fit data to 6 degree polynomial
C[0]=-0.4327879422829479
C[1]=149.69423731831853
C[2]=-750.0174499344778
C[3]=1526.1854162734985
C[4]=-1505.3036803145383
C[5]=716.7808844068625
C[6]=-132.1380359047882
max_err=4.572727985601336, avg_err=0.8431151800321145, rms_err=1.4309083011663022
fit data to 7 degree polynomial
C[0]=-0.5346520109692433
C[1]=159.9520707385962
C[2]=-848.244447591826
C[3]=1871.1740829268028
C[4]=-2082.370148566358
C[5]=1213.3297991215823
C[6]=-344.35484120386434
C[7]=35.6666899303423
max_err=4.569731981701821, avg_err=0.8258248026750928, rms_err=1.424921184506455
fit data to 8 degree polynomial
C[0]=-0.45855808573434764
C[1]=144.0158198188071
C[2]=-645.5620414860211
C[3]=923.8040116751115
C[4]=89.50234926958638
C[5]=-1497.5185785124659
C[6]=1534.6818588430256
C[7]=-643.7439780024037
C[8]=99.9133361692555
max_err=4.433210380117417, avg_err=0.899680747365989, rms_err=1.417219596364039
fit data to 9 degree polynomial
C[0]=-0.2259055766028365
C[1]=29.354540367091545
C[2]=1193.917551924717
C[3]=-9988.963744263827
C[4]=32556.822257029053
C[5]=-56032.48924349169
C[6]=55580.4369387214
C[7]=-31962.461897622197
C[8]=9909.654010802225
C[9]=-1282.3204207554381
max_err=3.27674570897649, avg_err=0.7918143563604992, rms_err=1.2079278049693647
fit data to 10 degree polynomial
C[0]=-0.09378178220435762
C[1]=-150.19480171236904
C[2]=4653.334898694613
C[3]=-34986.66253299063
C[4]=125023.9296782505
C[5]=-254449.14264304133
C[6]=316822.60270071286
C[7]=-246081.86403431577
C[8]=116410.46293109933
C[9]=-30699.202221275544
C[10]=3460.8398426537306
max_err=2.579891660381337, avg_err=0.7039819440807419, rms_err=0.9461447783163248
fit data to 11 degree polynomial
C[0]=-0.026163265806998126
C[1]=-454.6507742167938
C[2]=11400.350244949703
C[3]=-92251.80862441762
C[4]=379063.49558821786
C[5]=-923375.1006127123
C[6]=1429268.6388586266
C[7]=-1445523.2195607233
C[8]=952961.3529806377
C[9]=-394850.1912962349
C[10]=93381.80280911541
C[11]=-9615.793735197465
max_err=1.5013572120900687, avg_err=0.435031596117335, rms_err=0.6071121680015747
fit data to 12 degree polynomial
C[0]=-0.04941838996143923
C[1]=-186.56030129100407
C[2]=4902.339083129195
C[3]=-30539.03330576358
C[4]=66235.3259807041
C[5]=38231.94376158551
C[6]=-483741.78773052176
C[7]=1098891.021528332
C[8]=-1331360.203934919
C[9]=972052.7447025308
C[10]=-429001.96542611794
C[11]=105709.69445874024
C[12]=-11188.463336838904
max_err=2.149049418264016, avg_err=0.6928868905682399, rms_err=0.8640235053397969
fit data to 13 degree polynomial
C[0]=-0.019706014185962697
C[1]=-574.5228844104572
C[2]=13971.417534850138
C[3]=-111439.84111873683
C[4]=436643.4325039283
C[5]=-925221.4390601406
C[6]=939000.4769445551
C[7]=145877.4969194549
C[8]=-1716998.1414930904
C[9]=2357225.1860562577
C[10]=-1711961.6502380057
C[11]=727096.1581136449
C[12]=-170831.9316502977
C[13]=17217.78554808181
max_err=1.0074723009380797, avg_err=0.38522928788803573, rms_err=0.4803888149631608
fit data to 14 degree polynomial
C[0]=-0.02204472637726201
C[1]=-509.9741223013727
C[2]=12551.013524807064
C[3]=-100356.31272668985
C[4]=399900.9634387321
C[5]=-904114.8648121703
C[6]=1176955.3607273945
C[7]=-753966.2147547754
C[8]=-49250.39048197924
C[9]=446181.9044990458
C[10]=-279565.326340665
C[11]=23124.837732845102
C[12]=47542.378052273605
C[13]=-21454.017639524034
C[14]=2965.2558906454938
max_err=1.2162486591276043, avg_err=0.3499825973626236, rms_err=0.487136623558649
fit data to 15 degree polynomial
C[0]=-0.020812592253333862
C[1]=-535.0630774844186
C[2]=13184.614676783014
C[3]=-106721.81772299916
C[4]=434631.3830523265
C[5]=-1021340.2079642867
C[6]=1438736.2016221825
C[7]=-1153233.0496801247
C[8]=366717.1275165912
C[9]=165026.51888132136
C[10]=-182181.86428280073
C[11]=38263.19897561896
C[12]=11637.664255262775
C[13]=-3071.2756990439375
C[14]=-1570.417418789465
C[15]=461.58880612455437
max_err=1.1667976483588074, avg_err=0.3536783463708649, rms_err=0.48009560001370044
fit data to 16 degree polynomial
C[0]=-0.12231909275531308
C[1]=325.0054551778578
C[2]=-6609.45514693483
C[3]=65894.36739738092
C[4]=-325563.12126423744
C[5]=810083.4013039242
C[6]=-806574.0627927743
C[7]=-643012.1091181948
C[8]=2617164.8619576497
C[9]=-2699262.2718133074
C[10]=837292.4840582206
C[11]=423415.89106295025
C[12]=-123770.45416617871
C[13]=-397686.82883046847
C[14]=350931.3079046408
C[15]=-117221.99382237048
C[16]=14598.943611934905
max_err=3.6512060405928803, avg_err=1.131982810460994, rms_err=1.4718936100674611
fit data to 17 degree polynomial
C[0]=-0.03869373459997383
C[1]=-420.76169614727337
C[2]=10772.139429000505
C[3]=-88514.58546064454
C[4]=372012.40624103625
C[5]=-930331.1910849041
C[6]=1440561.9462859533
C[7]=-1253133.9800222488
C[8]=184691.00488438283
C[9]=903419.9599659801
C[10]=-973235.0609481037
C[11]=208586.3964004356
C[12]=325744.3864684014
C[13]=-237956.8254923452
C[14]=-3277.620343206974
C[15]=64516.172792561534
C[16]=-27131.682715050094
C[17]=3702.349151450762
max_err=1.6845658319663661, avg_err=0.514420378249883, rms_err=0.6935545419445454