```

problem 1, dimensions:  5  10

Initial L2 norm of the residuals: 5.0
Final L2 norm of the residuals: 2.2360679774997902
Number of function evaluations: 4
Number of Jacobian evaluations: 3
Info value: 3
Final approximate solution:

-1.0000000298023202  -1.0000000298023197  -1.0000000298023208  -1.000000029802321  -1.0000000298023204

problem 1, dimensions:  5  50

Initial L2 norm of the residuals: 8.062257748298547
Final L2 norm of the residuals: 6.708203932499368
Number of function evaluations: 3
Number of Jacobian evaluations: 2
Info value: 1
Final approximate solution:

-0.9999998927116646  -0.9999998927116558  -0.9999998927116706  -0.9999998927116549  -0.9999998927116555

problem 2, dimensions:  5  10

Initial L2 norm of the residuals: 291.52186881947637
Final L2 norm of the residuals: 1.4638501094227998
Number of function evaluations: 3
Number of Jacobian evaluations: 2
Info value: 1
Final approximate solution:

-19.086010352698906  -9.043005176349453  183.01884899823267  -4.021502588174674  -99.13113175875539

problem 2, dimensions:  5  50

Initial L2 norm of the residuals: 3101.6003933453453
Final L2 norm of the residuals: 3.4826301657349616
Number of function evaluations: 4
Number of Jacobian evaluations: 2
Info value: 1
Final approximate solution:

-268.36405452990164  -133.68202726495082  101.69985450393926  -66.34101363247537  99.20446060963026

problem 3, dimensions:  5  10

Initial L2 norm of the residuals: 126.03967629282455
Final L2 norm of the residuals: 1.909727421264462
Number of function evaluations: 3
Number of Jacobian evaluations: 2
Info value: 1
Final approximate solution:

1.0  -212.31372109060297  104.71272799838177  27.666432193569186  1.0

problem 3, dimensions:  5  50

Initial L2 norm of the residuals: 1748.9499706967035
Final L2 norm of the residuals: 3.6917294022424563
Number of function evaluations: 3
Number of Jacobian evaluations: 2
Info value: 1
Final approximate solution:

1.0  -193.67723395822136  124.98685790027247  3.1062055126642987  1.0

problem 4, dimensions:  2  2

Initial L2 norm of the residuals: 4.919349550499537
Final L2 norm of the residuals: 0.0
Number of function evaluations: 22
Number of Jacobian evaluations: 16
Info value: 2
Final approximate solution:

1.0  1.0

problem 4, dimensions:  2  2

Initial L2 norm of the residuals: 1340.063058217784
Final L2 norm of the residuals: 2.220446049250313E-15
Number of function evaluations: 8
Number of Jacobian evaluations: 5
Info value: 2
Final approximate solution:

1.0  1.0000000000000002

problem 4, dimensions:  2  2

Initial L2 norm of the residuals: 143000.05119229853
Final L2 norm of the residuals: 0.0
Number of function evaluations: 7
Number of Jacobian evaluations: 5
Info value: 2
Final approximate solution:

1.0  1.0

problem 5, dimensions:  3  3

Initial L2 norm of the residuals: 50.0
Final L2 norm of the residuals: 7.006363872300511E-16
Number of function evaluations: 11
Number of Jacobian evaluations: 8
Info value: 2
Final approximate solution:

1.0  -4.402228253919244E-17  9.737152005269328E-57

problem 5, dimensions:  3  3

Initial L2 norm of the residuals: 102.95630140987001
Final L2 norm of the residuals: 8.481794896029156E-18
Number of function evaluations: 20
Number of Jacobian evaluations: 15
Info value: 2
Final approximate solution:

1.0  -5.329268906924119E-19  2.945429474756961E-45

problem 5, dimensions:  3  3

Initial L2 norm of the residuals: 991.2618221237011
Final L2 norm of the residuals: 1.7722821403109918E-22
Number of function evaluations: 19
Number of Jacobian evaluations: 16
Info value: 2
Final approximate solution:

1.0  1.1135577104178812E-23  -8.041208253373473E-103

problem 6, dimensions:  4  4

Initial L2 norm of the residuals: 14.662878298615182
Final L2 norm of the residuals: 3.534491794847031E-21
Number of function evaluations: 236
Number of Jacobian evaluations: 191
Info value: 5
Final approximate solution:

5.060282149485331E-11  -5.060282149491206E-12  2.1794478435472183E-11  2.1794478435472183E-11

problem 6, dimensions:  4  4

Initial L2 norm of the residuals: 1270.9838708654017
Final L2 norm of the residuals: 7.1532675692158E-22
Number of function evaluations: 235
Number of Jacobian evaluations: 192
Info value: 5
Final approximate solution:

2.2605815530875387E-11  -2.260581553087539E-12  1.0628559645605768E-11  1.0628559645605768E-11

problem 6, dimensions:  4  4

Initial L2 norm of the residuals: 126887.90328474973
Final L2 norm of the residuals: 6.000693085189192E-22
Number of function evaluations: 236
Number of Jacobian evaluations: 192
Info value: 5
Final approximate solution:

2.0682621106346383E-11  -2.068262110634638E-12  9.778949449029018E-12  9.778949449029018E-12

problem 7, dimensions:  2  2

Initial L2 norm of the residuals: 20.0124960961895
Final L2 norm of the residuals: 6.998875175846333
Number of function evaluations: 14
Number of Jacobian evaluations: 8
Info value: 1
Final approximate solution:

11.41248443817057  -0.896827915672117

problem 7, dimensions:  2  2

Initial L2 norm of the residuals: 12432.833948862986
Final L2 norm of the residuals: 6.998875174489243
Number of function evaluations: 19
Number of Jacobian evaluations: 12
Info value: 1
Final approximate solution:

11.413004631904188  -0.8967960409233378

problem 7, dimensions:  2  2

Initial L2 norm of the residuals: 1.1426454595761977E7
Final L2 norm of the residuals: 6.9988751724290195
Number of function evaluations: 24
Number of Jacobian evaluations: 17
Info value: 1
Final approximate solution:

11.412781738697834  -0.8968051110113898

problem 8, dimensions:  3  15

Initial L2 norm of the residuals: 6.456136295159668
Final L2 norm of the residuals: 0.09063596033904542
Number of function evaluations: 6
Number of Jacobian evaluations: 5
Info value: 1
Final approximate solution:

0.08241057586436833  1.1330366265378435  2.3436946649075865

problem 8, dimensions:  3  15

Initial L2 norm of the residuals: 36.141853159678455
Final L2 norm of the residuals: 4.174768723337527
Number of function evaluations: 39
Number of Jacobian evaluations: 38
Info value: 1
Final approximate solution:

0.8406666788547107  -1.0818386859098315E8  -1.0928762494685271E8

problem 8, dimensions:  3  15

Initial L2 norm of the residuals: 384.11467863739915
Final L2 norm of the residuals: 4.174768702792703
Number of function evaluations: 13
Number of Jacobian evaluations: 12
Info value: 1
Final approximate solution:

0.8406666758512192  -1.5595038846168226E8  -1.5754813627831304E8

problem 9, dimensions:  4  11

Initial L2 norm of the residuals: 0.07289151028829448
Final L2 norm of the residuals: 0.017535837721316592
Number of function evaluations: 18
Number of Jacobian evaluations: 16
Info value: 1
Final approximate solution:

0.1928078134034123  0.19126256039886635  0.12305276891924403  0.13605318061513144

problem 9, dimensions:  4  11

Initial L2 norm of the residuals: 2.9793700755520205
Final L2 norm of the residuals: 0.0320521936514487
Number of function evaluations: 78
Number of Jacobian evaluations: 69
Info value: 1
Final approximate solution:

233407.7550650136  -14.075876385829813  -1.0563371633519506E7  -6589445.168854165

problem 9, dimensions:  4  11

Initial L2 norm of the residuals: 29.959061701603652
Final L2 norm of the residuals: 0.030707539812759463
Number of function evaluations: 229
Number of Jacobian evaluations: 193
Info value: 5
Final approximate solution:

0.004094945918438346  578.7852664747106  7.273225661935865  4.912841555462725

problem 10, dimensions:  3  16

Initial L2 norm of the residuals: 41153.46655430312
Final L2 norm of the residuals: 9.37794514650624
Number of function evaluations: 127
Number of Jacobian evaluations: 117
Info value: 1
Final approximate solution:

0.005609636425929414  6181.346353063724  345.2236348546664

problem 10, dimensions:  3  16

Initial L2 norm of the residuals: 4168216.8913084646
Final L2 norm of the residuals: 62375.99179973012
Number of function evaluations: 4
Number of Jacobian evaluations: 3
Info value: 4
Final approximate solution:

1.382309482487719  -3664.2125632070783  -22.64388427449876

problem 11, dimensions:  6  31

Initial L2 norm of the residuals: 5.477225575051661
Final L2 norm of the residuals: 0.0510466197136719
Number of function evaluations: 8
Number of Jacobian evaluations: 7
Info value: 1
Final approximate solution:

-1.389015084525616E-24  1.0136383860360794  -0.2443030963598624  1.3737699623989188  -1.6856384949941148
1.0980966598993074

problem 11, dimensions:  6  31

Initial L2 norm of the residuals: 6433.125789500264
Final L2 norm of the residuals: 0.04782959390968857
Number of function evaluations: 14
Number of Jacobian evaluations: 13
Info value: 1
Final approximate solution:

-0.015725187100885007  1.0124348701487864  -0.23299164097592856  1.2604295869913718  -1.5137280575814311
0.9929958495184152

problem 11, dimensions:  6  31

Initial L2 norm of the residuals: 674256.0406052133
Final L2 norm of the residuals: 0.047829593911929674
Number of function evaluations: 15
Number of Jacobian evaluations: 14
Info value: 1
Final approximate solution:

-0.01572466666335596  1.0124349183031771  -0.23299201967933036  1.2604333977552167  -1.5137338334179362
0.9929993473837619

problem 11, dimensions:  9  31

Initial L2 norm of the residuals: 5.477225575051661
Final L2 norm of the residuals: 0.0011832136451362706
Number of function evaluations: 8
Number of Jacobian evaluations: 7
Info value: 1
Final approximate solution:

1.403007116406604E-22  0.9997896651084196  0.014781241715292208  0.14631806909958595  1.000962622359597
-2.6180985889508763  4.104965597296268  -3.144049180330689  1.0527709588477914

problem 11, dimensions:  9  31

Initial L2 norm of the residuals: 12088.127069307002
Final L2 norm of the residuals: 0.0011831148436622296
Number of function evaluations: 27
Number of Jacobian evaluations: 14
Info value: 2
Final approximate solution:

-1.4782021244972587E-5  0.9997897147136178  0.01476276665001966  0.14636068733095686  1.000731775585756
-2.617503041985124  4.1040928888191655  -3.1433986012468633  1.0525682835083012

problem 11, dimensions:  9  31

Initial L2 norm of the residuals: 1269109.2904383382
Final L2 norm of the residuals: 0.0011831148707160271
Number of function evaluations: 29
Number of Jacobian evaluations: 18
Info value: 2
Final approximate solution:

-1.4640264038658652E-5  0.9997898447613114  0.01476334283031877  0.14635043207876972  1.0007896419677351
-2.617659183105405  4.104311388837974  -3.1435506292757305  1.0526099972454401

problem 11, dimensions:  12  31

Initial L2 norm of the residuals: 5.477225575051661
Final L2 norm of the residuals: 2.1731329585029264E-5
Number of function evaluations: 20
Number of Jacobian evaluations: 9
Info value: 2
Final approximate solution:

-1.8474639656238883E-23  1.000001595208542  -5.591208577247701E-4  0.34773431948879563  -0.1560268733834621
1.049583225162835  -3.2381699404735604  7.27207955612517  -10.2530116261482  9.06064825306459
-4.535932795750912  1.0110609282719831

problem 11, dimensions:  12  31

Initial L2 norm of the residuals: 19220.758979095073
Final L2 norm of the residuals: 2.1734632695567926E-5
Number of function evaluations: 29
Number of Jacobian evaluations: 13
Info value: 2
Final approximate solution:

1.66102964305919E-8  1.000001549590827  -5.506908633598203E-4  0.3475833005663174  -0.15478630989916917
1.043809646601146  -3.2216030128175395  7.241701906616916  -10.21731467268892  9.034629579518931
-4.525219980326248  1.0091562401076144

problem 11, dimensions:  12  31

Initial L2 norm of the residuals: 2018918.0446236664
Final L2 norm of the residuals: 2.1733822570136686E-5
Number of function evaluations: 54
Number of Jacobian evaluations: 32
Info value: 2
Final approximate solution:

-9.429261532031339E-8  1.0000017059036723  -5.72744498031817E-4  0.3479955222823367  -0.1582666092583066
1.0602416720589256  -3.269101156277629  7.3291048270680745  -10.32018190534795  9.109652177930995
-4.556117302343919  1.0146510956843018

problem 12, dimensions:  3  10

Initial L2 norm of the residuals: 32.11158374495718
Final L2 norm of the residuals: 2.1499376424746292E-16
Number of function evaluations: 7
Number of Jacobian evaluations: 6
Info value: 2
Final approximate solution:

0.9999999999999999  10.0  1.0

problem 13, dimensions:  2  10

Initial L2 norm of the residuals: 64.58564981449433
Final L2 norm of the residuals: 11.151779341349899
Number of function evaluations: 21
Number of Jacobian evaluations: 12
Info value: 1
Final approximate solution:

0.2578199266838486  0.2578299765301789

problem 14, dimensions:  4  20

Initial L2 norm of the residuals: 2815.4383916181564
Final L2 norm of the residuals: 292.9552193535503
Number of function evaluations: 213
Number of Jacobian evaluations: 197
Info value: 5
Final approximate solution:

-11.574240173224279  13.196352752513787  -0.40690764812113944  0.23402631572218083

problem 14, dimensions:  4  20

Initial L2 norm of the residuals: 555073.3541730687
Final L2 norm of the residuals: 292.95426716273204
Number of function evaluations: 49
Number of Jacobian evaluations: 38
Info value: 1
Final approximate solution:

-11.5953012485122  13.203954867873758  -0.40342763562658746  0.2367755759207221

problem 14, dimensions:  4  20

Initial L2 norm of the residuals: 6.121125223385811E7
Final L2 norm of the residuals: 292.95443178761354
Number of function evaluations: 212
Number of Jacobian evaluations: 198
Info value: 5
Final approximate solution:

-11.586227297593284  13.200536398815128  -0.402556797716628  0.23745804886708288

problem 15, dimensions:  1  8

Initial L2 norm of the residuals: 1.886237969077315
Final L2 norm of the residuals: 1.886237969077314
Number of function evaluations: 2
Number of Jacobian evaluations: 1
Info value: 1
Final approximate solution:

0.5000000053094538

problem 15, dimensions:  1  8

Initial L2 norm of the residuals: 5.383344372340053E9
Final L2 norm of the residuals: 1.8842482050014595
Number of function evaluations: 29
Number of Jacobian evaluations: 28
Info value: 1
Final approximate solution:

0.981731494739827

problem 15, dimensions:  1  8

Initial L2 norm of the residuals: 1.18088726698391731E18
Final L2 norm of the residuals: 1.8842482049953564
Number of function evaluations: 47
Number of Jacobian evaluations: 46
Info value: 1
Final approximate solution:

0.9817314875630088

problem 15, dimensions:  8  8

Initial L2 norm of the residuals: 0.1965138628339747
Final L2 norm of the residuals: 0.05930323550405453
Number of function evaluations: 39
Number of Jacobian evaluations: 20
Info value: 1
Final approximate solution:

0.04315366617992183  0.19309164053007818  0.26632859605433473  0.49999933890358433  0.5000006676605168
0.7336714090780725  0.8069083678702974  0.9568463408454989

problem 15, dimensions:  9  9

Initial L2 norm of the residuals: 0.16994993465202024
Final L2 norm of the residuals: 5.598502642299477E-16
Number of function evaluations: 12
Number of Jacobian evaluations: 9
Info value: 2
Final approximate solution:

0.044205346135782746  0.19949067230988102  0.2356191084710599  0.4160469078925981  0.49999999999999983
0.5839530921074021  0.7643808915289398  0.8005093276901191  0.9557946538642172

problem 15, dimensions:  10  10

Initial L2 norm of the residuals: 0.18374783117871077
Final L2 norm of the residuals: 0.08064710040368878
Number of function evaluations: 25
Number of Jacobian evaluations: 12
Info value: 1
Final approximate solution:

0.05962027056110514  0.16670878779481374  0.23917102527049458  0.3988852948364719  0.39888367201206437
0.6011163375107852  0.6011147163927271  0.7608289909368098  0.8332912250544173  0.9403797397559349

problem 16, dimensions:  10  10

Initial L2 norm of the residuals: 16.530216206349944
Final L2 norm of the residuals: 1.000000000050551
Number of function evaluations: 7
Number of Jacobian evaluations: 5
Info value: 1
Final approximate solution:

-0.054691281878607244  -0.05469128187860708  -0.05469128187860708  -0.05469128187860476  -0.05469128187860545
-0.05469128187860389  -0.05469128187860545  -0.0546912818786051  -0.05469128187860355  11.54691281878684

problem 16, dimensions:  10  10

Initial L2 norm of the residuals: 9765624.000892108
Final L2 norm of the residuals: 1.2323975663653873E-14
Number of function evaluations: 13
Number of Jacobian evaluations: 8
Info value: 2
Final approximate solution:

0.9794303033498651  0.9794303033498651  0.9794303033498651  0.9794303033498651  0.9794303033498651
0.9794303033498651  0.9794303033498651  0.9794303033498651  0.9794303033498651  1.2056969665013455

problem 16, dimensions:  10  10

Initial L2 norm of the residuals: 9.765625E16
Final L2 norm of the residuals: 1.0
Number of function evaluations: 34
Number of Jacobian evaluations: 32
Info value: 1
Final approximate solution:

-0.00546590110346046  -0.00546590110346046  -0.00546590110346046  -0.00546590110346046  -0.00546590110346046
-0.00546590110346046  -0.0054659011034601385  -0.0054659011034601385  -0.0054659011034601385  11.054659011035628

problem 16, dimensions:  30  30

Initial L2 norm of the residuals: 83.476044467848
Final L2 norm of the residuals: 1.8345833331422266E-13
Number of function evaluations: 11
Number of Jacobian evaluations: 10
Info value: 2
Final approximate solution:

1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448
1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448
1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448
1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448
1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448
1.0000000000001448  1.0000000000001448  1.0000000000001448  1.0000000000001448  0.9999999999956585

problem 16, dimensions:  40  40

Initial L2 norm of the residuals: 128.02636447232265
Final L2 norm of the residuals: 1.1370678529158265E-13
Number of function evaluations: 11
Number of Jacobian evaluations: 10
Info value: 2
Final approximate solution:

1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084
1.0000000000000084  1.0000000000000084  1.0000000000000084  1.0000000000000084  0.9999999999996709

problem 17, dimensions:  5  33

Initial L2 norm of the residuals: 0.9375640210378385
Final L2 norm of the residuals: 0.007392492609059335
Number of function evaluations: 18
Number of Jacobian evaluations: 15
Info value: 1
Final approximate solution:

0.37541003464824113  1.9358448526658463  -1.464685063652734  0.012867530475500419  0.02212270802671364

problem 18, dimensions:  11  65

Initial L2 norm of the residuals: 1.4468654098471163
Final L2 norm of the residuals: 0.20034404483314397
Number of function evaluations: 16
Number of Jacobian evaluations: 12
Info value: 1
Final approximate solution:

1.309976638000193  0.43155248037247557  0.6336612610099223  0.5994285599543686  0.7541797669231279
0.9043000886038467  1.3657994896510042  4.823731986087324  2.39868475066632  4.5688755473418405
5.675342062690561

Summary of 53 calls to lmdif1:

nprob n m  nfev njev info  final L2 norm

1   5  10    4    3  3  2.2360679774997902
1   5  50    3    2  1  6.708203932499368
2   5  10    3    2  1  1.4638501094227998
2   5  50    4    2  1  3.4826301657349616
3   5  10    3    2  1  1.909727421264462
3   5  50    3    2  1  3.6917294022424563
4   2   2   22   16  2  0.0
4   2   2    8    5  2  2.220446049250313E-15
4   2   2    7    5  2  0.0
5   3   3   11    8  2  7.006363872300511E-16
5   3   3   20   15  2  8.481794896029156E-18
5   3   3   19   16  2  1.7722821403109918E-22
6   4   4  236  191  5  3.534491794847031E-21
6   4   4  235  192  5  7.1532675692158E-22
6   4   4  236  192  5  6.000693085189192E-22
7   2   2   14    8  1  6.998875175846333
7   2   2   19   12  1  6.998875174489243
7   2   2   24   17  1  6.9988751724290195
8   3  15    6    5  1  0.09063596033904542
8   3  15   39   38  1  4.174768723337527
8   3  15   13   12  1  4.174768702792703
9   4  11   18   16  1  0.017535837721316592
9   4  11   78   69  1  0.0320521936514487
9   4  11  229  193  5  0.030707539812759463
10   3  16  127  117  1  9.37794514650624
10   3  16    4    3  4  62375.99179973012
11   6  31    8    7  1  0.0510466197136719
11   6  31   14   13  1  0.04782959390968857
11   6  31   15   14  1  0.047829593911929674
11   9  31    8    7  1  0.0011832136451362706
11   9  31   27   14  2  0.0011831148436622296
11   9  31   29   18  2  0.0011831148707160271
11  12  31   20    9  2  2.1731329585029264E-5
11  12  31   29   13  2  2.1734632695567926E-5
11  12  31   54   32  2  2.1733822570136686E-5
12   3  10    7    6  2  2.1499376424746292E-16
13   2  10   21   12  1  11.151779341349899
14   4  20  213  197  5  292.9552193535503
14   4  20   49   38  1  292.95426716273204
14   4  20  212  198  5  292.95443178761354
15   1   8    2    1  1  1.886237969077314
15   1   8   29   28  1  1.8842482050014595
15   1   8   47   46  1  1.8842482049953564
15   8   8   39   20  1  0.05930323550405453
15   9   9   12    9  2  5.598502642299477E-16
15  10  10   25   12  1  0.08064710040368878
16  10  10    7    5  1  1.000000000050551
16  10  10   13    8  2  1.2323975663653873E-14
16  10  10   34   32  1  1.0
16  30  30   11   10  2  1.8345833331422266E-13
16  40  40   11   10  2  1.1370678529158265E-13
17   5  33   18   15  1  0.007392492609059335
18  11  65   16   12  1  0.20034404483314397
```