k value	sum of square error
1.01	1.05123514352
1.02	1.0597090546
1.03	1.06828547135
1.04	1.07695486125
1.05	1.08570684862
1.06	1.09453026154
1.07	1.10341318287
1.08	1.11234300475
1.09	1.12130648617
1.1	1.13028981301
1.11	1.13927866007
1.12	1.14825825478
1.13	1.15721344182
1.14	1.16612874859
1.15	1.17498845081
1.16	1.18377663803
1.17	1.19247727865
1.18	1.20107428408
1.19	1.20955157175
1.2	1.21789312662
1.21	1.22608306104
1.22	1.2341056726
1.23	1.24194549974
1.24	1.24958737502
1.25	1.25701647584
1.26	1.26421837234
1.27	1.27117907257
1.28	1.27788506459
1.29	1.28432335556
1.3	1.29048150776
1.31	1.29634767131
1.32	1.30191061384
1.33	1.3071597468
1.34	1.31208514865
1.35	1.31667758485
1.36	1.32092852457
1.37	1.32483015446
1.38	1.32837538916
1.39	1.33155787898
1.4	1.33437201456
1.41	1.33681292872
1.42	1.33887649565
1.43	1.34055932734
1.44	1.34185876765
1.45	1.34277288387
1.46	1.34330045608
1.47	1.3434409643
1.48	1.34319457373
1.49	1.34256211798
1.5	1.34154508066
1.51	1.34014557534
1.52	1.33836632402
1.53	1.33621063426
1.54	1.33368237517
1.55	1.33078595231
1.56	1.32752628163
1.57	1.32390876271
1.58	1.31993925124
1.59	1.31562403106
1.6	1.3109697857
1.61	1.3059835697
1.62	1.30067277972
1.63	1.29504512559
1.64	1.28910860144
1.65	1.2828714569
1.66	1.27634216863
1.67	1.26952941214
1.68	1.26244203405
1.69	1.25508902482
1.7	1.24747949215
1.71	1.23962263492
1.72	1.23152771798
1.73	1.22320404758
1.74	1.2146609478
1.75	1.2059077377
1.76	1.19695370954
1.77	1.18780810791
1.78	1.17848010983
1.79	1.16897880601
1.8	1.15931318303
1.81	1.1494921067
1.82	1.13952430644
1.83	1.12941836088
1.84	1.11918268443
1.85	1.10882551508
1.86	1.09835490324
1.87	1.08777870178
1.88	1.07710455704
1.89	1.06633990104
1.9	1.0554919447
1.91	1.04456767215
1.92	1.033573836
1.93	1.02251695375
1.94	1.01140330502
1.95	1.00023892981
1.96	0.989029627715
1.97	0.977780957947
1.98	0.966498240245
1.99	0.955186556598
2.0	0.943850753739
2.01	0.932495446374
2.02	0.921125021113
2.03	0.909743641047
2.04	0.898355250954
2.05	0.886963583062
2.06	0.875572163351
2.07	0.864184318343
2.08	0.852803182335
2.09	0.841431705031
2.1	0.830072659543
2.11	0.818728650707
2.12	0.807402123675
2.13	0.796095372743
2.14	0.784810550384
2.15	0.77354967643
2.16	0.762314647375
2.17	0.751107245765
2.18	0.739929149625
2.19	0.728781941908
2.2	0.717667119906
2.21	0.706586104619
2.22	0.695540250026
2.23	0.684530852241
2.24	0.673559158525
2.25	0.662626376122
2.26	0.651733680893
2.27	0.640882225731
2.28	0.630073148722
2.29	0.619307581049
2.3	0.608586654594
2.31	0.597911509245
2.32	0.587283299878
2.33	0.576703202996
2.34	0.56617242302
2.35	0.55569219822
2.36	0.545263806263
2.37	0.534888569389
2.38	0.524567859182
2.39	0.514303100959
2.4	0.504095777743
2.41	0.493947433843
2.42	0.483859678013
2.43	0.473834186215
2.44	0.463872703966
2.45	0.45397704828
2.46	0.444149109209
2.47	0.434390850978
2.48	0.424704312735
2.49	0.415091608898
2.5	0.405554929136
2.51	0.396096537963
2.52	0.386718773971
2.53	0.377424048714
2.54	0.368214845234
2.55	0.359093716263
2.56	0.350063282098
2.57	0.34112622817
2.58	0.33228530231
2.59	0.323543311735
2.6	0.314903119767
2.61	0.306367642292
2.62	0.297939843979
2.63	0.28962273428
2.64	0.281419363209
2.65	0.273332816938
2.66	0.265366213203
2.67	0.257522696557
2.68	0.249805433469
2.69	0.242217607294
2.7	0.234762413129
2.71	0.227443052566
2.72	0.220262728365
2.73	0.213224639058
2.74	0.206331973497
2.75	0.199587905374
2.76	0.192995587707
2.77	0.186558147329
2.78	0.180278679377
2.79	0.17416024181
2.8	0.168205849955
2.81	0.162418471107
2.82	0.15680101919
2.83	0.151356349491
2.84	0.146087253488
2.85	0.140996453764
2.86	0.136086599048
2.87	0.131360259362
2.88	0.12681992131
2.89	0.122467983504
2.9	0.118306752145
2.91	0.114338436754
2.92	0.110565146085
2.93	0.106988884204
2.94	0.103611546751
2.95	0.100434917399
2.96	0.0974606645005
2.97	0.0946903379401
2.98	0.0921253661917
2.99	0.0897670535865
3.0	0.0876165777961
3.01	0.0856749875321
3.02	0.0839432004681
3.03	0.0824220013832
3.04	0.0811120405304
3.05	0.0800138322318
3.06	0.0791277536986
3.07	0.0784540440797
3.08	0.0779928037351
3.09	0.0777439937359
3.1	0.0777074355888
3.11	0.0778828111827
3.12	0.0782696629565
3.13	0.0788673942847
3.14	0.0796752700783
3.15	0.0806924175973
3.16	0.0819178274717
3.17	0.0833503549256
3.18	0.084988721202
3.19	0.0868315151814
3.2	0.0888771951906
3.21	0.0911240909957
3.22	0.093570405974
3.23	0.0962142194581
3.24	0.0990534892473
3.25	0.102086054279
3.26	0.105309637453
3.27	0.108721848606
3.28	0.11232018762
3.29	0.116102047669
3.3	0.12006471859
3.31	0.124205390369
3.32	0.128521156745
3.33	0.133009018907
3.34	0.1376658893
3.35	0.142488595502
3.36	0.147473884198
3.37	0.152618425218
3.38	0.157918815637
3.39	0.163371583942
3.4	0.168973194237
3.41	0.1747200505
3.42	0.180608500867
3.43	0.186634841943
3.44	0.192795323139
3.45	0.199086151011
3.46	0.205503493612
3.47	0.212043484836
3.48	0.21870222875
3.49	0.225475803921
3.5	0.232360267705
3.51	0.239351660516
3.52	0.246446010053
3.53	0.253639335489
3.54	0.260927651607
3.55	0.268306972882
3.56	0.275773317507
3.57	0.283322711347
3.58	0.290951191824
3.59	0.29865481173
3.6	0.30642964295
3.61	0.314271780108
3.62	0.32217734412
3.63	0.330142485647
3.64	0.33816338846
3.65	0.346236272695
3.66	0.354357398005
3.67	0.362523066605
3.68	0.370729626201
3.69	0.378973472811
3.7	0.387251053463
3.71	0.395558868775
3.72	0.403893475417
3.73	0.412251488449
3.74	0.420629583529
3.75	0.429024499001
3.76	0.437433037857
3.77	0.445852069563
3.78	0.454278531768
3.79	0.462709431872
3.8	0.471141848473
3.81	0.479572932684
3.82	0.487999909318
3.83	0.496420077947
3.84	0.504830813833
3.85	0.513229568731
3.86	0.521613871567
3.87	0.529981328992
3.88	0.538329625812
3.89	0.546656525295
3.9	0.554959869363
3.91	0.563237578658
3.92	0.571487652502
3.93	0.579708168735
3.94	0.587897283446
3.95	0.596053230594
3.96	0.604174321526
3.97	0.612258944384
3.98	0.620305563422
3.99	0.628312718218
4.0	0.636279022793
4.01	0.644203164641
4.02	0.652083903673
4.03	0.659920071069
4.04	0.667710568057
4.05	0.675454364611
4.06	0.683150498076
4.07	0.69079807172
4.08	0.698396253226
4.09	0.705944273114
4.1	0.713441423108
4.11	0.72088705445
4.12	0.728280576154
4.13	0.73562145322
4.14	0.742909204807
4.15	0.750143402352
4.16	0.757323667672
4.17	0.764449671018
4.18	0.771521129105
4.19	0.778537803126
4.2	0.785499496732
4.21	0.792406054
4.22	0.799257357395
4.23	0.806053325707
4.24	0.812793911997
4.25	0.81947910153
4.26	0.826108909711
4.27	0.832683380032
4.28	0.839202582015
4.29	0.845666609175
4.3	0.852075576993
4.31	0.858429620909
4.32	0.864728894332
4.33	0.870973566673
4.34	0.87716382141
4.35	0.883299854175
4.36	0.889381870877
4.37	0.895410085856
4.38	0.901384720077
4.39	0.90730599936
4.4	0.913174152656
4.41	0.918989410362
4.42	0.924752002682
4.43	0.930462158041
4.44	0.936120101541
4.45	0.941726053476
4.46	0.947280227894
4.47	0.952782831218
4.48	0.958234060919
4.49	0.963634104251
4.5	0.968983137039
4.51	0.974281322535
4.52	0.979528810325
4.53	0.984725735303
4.54	0.989872216709
4.55	0.994968357227
4.56	1.00001424214
4.57	1.00500993858
4.58	1.00995549479
4.59	1.01485093948
4.6	1.01969628129
4.61	1.0244915082
4.62	1.02923658717
4.63	1.03393146368
4.64	1.03857606143
4.65	1.04317028212
4.66	1.04771400519
4.67	1.05220708774
4.68	1.05664936445
4.69	1.06104064755
4.7	1.0653807269
4.71	1.0696693701
4.72	1.07390632264
4.73	1.07809130815
4.74	1.0822240287
4.75	1.0863041651
4.76	1.09033137732
4.77	1.09430530496
4.78	1.09822556771
4.79	1.10209176593
4.8	1.10590348123
4.81	1.10966027714
4.82	1.11336169977
4.83	1.11700727858
4.84	1.12059652713
4.85	1.12412894391
4.86	1.12760401318
4.87	1.13102120591
4.88	1.13437998063
4.89	1.13767978448
4.9	1.14092005412
4.91	1.1441002168
4.92	1.14721969141
4.93	1.1502778895
4.94	1.15327421645
4.95	1.15620807253
4.96	1.15907885408
4.97	1.16188595461
4.98	1.16462876602
4.99	1.16730667976
5.0	1.16991908804
5.01	1.172465385
5.02	1.17494496794
5.03	1.17735723855
5.04	1.1797016041
5.05	1.18197747868
5.06	1.18418428441
5.07	1.18632145265
5.08	1.18838842523
5.09	1.19038465567
5.1	1.19230961031
5.11	1.19416276958
5.12	1.19594362913
5.13	1.197651701
5.14	1.19928651478
5.15	1.20084761874
5.16	1.20233458091
5.17	1.20374699024
5.18	1.20508445761
5.19	1.20634661691
5.2	1.20753312605
5.21	1.20864366798
5.22	1.20967795164
5.23	1.21063571291
5.24	1.21151671553
5.25	1.21232075198
5.26	1.21304764434
5.27	1.21369724508
5.28	1.21426943788
5.29	1.21476413834
5.3	1.21518129475
5.31	1.2155208887
5.32	1.21578293576
5.33	1.21596748606
5.34	1.21607462488
5.35	1.21610447314
5.36	1.21605718787
5.37	1.21593296272
5.38	1.21573202825
5.39	1.2154546524
5.4	1.21510114071
5.41	1.21467183665
5.42	1.21416712183
5.43	1.21358741618
5.44	1.21293317812
5.45	1.21220490461
5.46	1.21140313127
5.47	1.21052843233
5.48	1.20958142067
5.49	1.20856274768
5.5	1.20747310319
5.51	1.2063132153
5.52	1.20508385019
5.53	1.20378581187
5.54	1.20241994187
5.55	1.20098711899
5.56	1.19948825886
5.57	1.1979243136
5.58	1.19629627133
5.59	1.19460515571
5.6	1.19285202543
5.61	1.19103797361
5.62	1.18916412729
5.63	1.1872316467
5.64	1.1852417247
5.65	1.18319558598
5.66	1.18109448642
5.67	1.17893971226
5.68	1.17673257934
5.69	1.17447443228
5.7	1.1721666436
5.71	1.16981061285
5.72	1.16740776572
5.73	1.16495955307
5.74	1.16246744999
5.75	1.15993295482
5.76	1.15735758812
5.77	1.15474289166
5.78	1.15209042739
5.79	1.14940177631
5.8	1.14667853745
5.81	1.14392232673
5.82	1.14113477585
5.83	1.13831753116
5.84	1.13547225252
5.85	1.13260061211
5.86	1.12970429331
5.87	1.1267849895
5.88	1.12384440285
5.89	1.12088424318
5.9	1.11790622672
5.91	1.11491207491
5.92	1.11190351324
5.93	1.10888226998
5.94	1.10585007502
5.95	1.10280865866
5.96	1.09975975036
5.97	1.0967050776
5.98	1.09364636466
5.99	1.09058533141
6.0	1.08752369215
6.01	1.08446315442
6.02	1.08140541786
6.03	1.078352173
6.04	1.07530510017
6.05	1.07226586833
6.06	1.06923613396
6.07	1.06621753997
6.08	1.06321171459
6.09	1.0602202703
6.1	1.05724480277
6.11	1.05428688984
6.12	1.0513480905
6.13	1.04842994385
6.14	1.04553396818
6.15	1.04266165999
6.16	1.03981449303
6.17	1.03699391745
6.18	1.03420135884
6.19	1.03143821745
6.2	1.02870586729
6.21	1.02600565536
6.22	1.02333890084
6.23	1.02070689437
6.24	1.01811089728
6.25	1.01555214094
6.26	1.01303182604
6.27	1.010551122
6.28	1.00811116632
6.29	1.00571306405
6.3	1.00335788716
6.31	1.00104667412
6.32	0.998780429333
6.33	0.996560122723
6.34	0.994386689301
6.35	0.992261028775
6.36	0.990184005184
6.37	0.988156446578
6.38	0.986179144723
6.39	0.984252854832
6.4	0.982378295341
6.41	0.980556147708
6.42	0.978787056251
6.43	0.977071628007
6.44	0.97541043264
6.45	0.973804002366
6.46	0.972252831917
6.47	0.970757378535
6.48	0.969318062
6.49	0.967935264681
6.5	0.966609331632
6.51	0.965340570704
6.52	0.964129252696
6.53	0.962975611532
6.54	0.961879844473
6.55	0.960842112349
6.56	0.959862539826
6.57	0.958941215705
6.58	0.958078193236
6.59	0.957273490472
6.6	0.956527090643
6.61	0.955838942558
6.62	0.955208961031
6.63	0.954637027336
6.64	0.95412298968
6.65	0.953666663705
6.66	0.953267833013
6.67	0.952926249708
6.68	0.952641634967
6.69	0.952413679625
6.7	0.952242044788
6.71	0.952126362458
6.72	0.952066236183
6.73	0.952061241718
6.74	0.952110927715
6.75	0.952214816415
6.76	0.952372404367
6.77	0.95258316316
6.78	0.952846540163
6.79	0.953161959287
6.8	0.953528821754
6.81	0.953946506877
6.82	0.95441437286
6.83	0.954931757594
6.84	0.955497979478
6.85	0.956112338232
6.86	0.956774115735
6.87	0.957482576854
6.88	0.958236970291
6.89	0.95903652943
6.9	0.959880473188
6.91	0.960768006869
6.92	0.961698323027
6.93	0.962670602324
6.94	0.963684014391
6.95	0.964737718691
6.96	0.965830865382
6.97	0.966962596174
6.98	0.968132045194
6.99	0.969338339833
7.0	0.970580601606
7.01	0.971857946998
7.02	0.973169488305
7.03	0.974514334475
7.04	0.975891591934
7.05	0.977300365416
7.06	0.978739758775
7.07	0.980208875794
7.08	0.981706820983
7.09	0.983232700369
7.1	0.984785622271
7.11	0.986364698069
7.12	0.987969042963
7.13	0.989597776708
7.14	0.991250024351
7.15	0.992924916946
7.16	0.994621592257
7.17	0.996339195442
7.18	0.998076879736
7.19	0.999833807098
7.2	1.00160914886
7.21	1.00340208636
7.22	1.00521181152
7.23	1.00703752749
7.24	1.00887844915
7.25	1.01073380376
7.26	1.01260283139
7.27	1.01448478553
7.28	1.01637893355
7.29	1.01828455717
7.3	1.02020095294
7.31	1.02212743269
7.32	1.02406332391
7.33	1.02600797021
7.34	1.02796073164
7.35	1.0299209851
7.36	1.03188812465
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