             f_degrees := [[2, 2], [2, 2], [3, 2], [3, 4], [4, 4]]

             g_degrees := [[2, 2], [2, 2], [3, 2], [3, 4], [4, 4]]

             h_degrees := [[1, 1], [1, 1], [2, 1], [2, 2], [3, 2]]

computed_LS_GCRD := [

    -0.117353235584683 + 0.3688244547 (t - 2.50000000026780) Dt,

    -0.539757652215582 + 0.4995629331 (t - 1.35632183990888) Dt,

    0.459777607282731

     + 0.2938784697 (-2.51612904114522 t - 0.225806452210937) Dt

                                             2
     + 0.2938784697 (t - 1.32258064981101) Dt , -0.632257982476320

     + 0.3161289930 (1.52499998961141 t + 0.0999999995101484) Dt

                      2                                             2
     + 0.3161289930 (t  - 0.799999992563834 t + 1.42499999065277) Dt ,

    0.102087203757559

     + 0.1287186476 (2.79310345762838 t - 0.620689667821145) Dt + 0.1287186476

                         2                                            2
    (-0.793103447075018 t  + 5.48275864150010 t + 2.79310344967608) Dt

                      2                                             3
     + 0.1287186476 (t  + 3.37931034021730 t - 0.793103469796404) Dt ]

computed_LS_GCRD_e2 := [

    -0.106971724706743 + 0.4187262264 (t - 2.15365088346181) Dt,

    -0.542260093080702 + 0.5133286223 (t - 1.29579260910339) Dt,

    0.477220129569931

     + 0.2539024153 (-2.84883398196334 t - 0.204272484250898) Dt

                                             2
     + 0.2539024153 (t - 1.67978844911999) Dt , -0.635329450437145

     + 0.2802902021 (1.73892398647234 t + 0.162131403540987) Dt

                      2                                             2
     + 0.2802902021 (t  - 0.972561482680915 t + 1.61084630277010) Dt ,

    0.00867138473230844

     + 0.3437842866 (0.938857537700921 t + 0.262250797783331) Dt +

    0.3437842866

                         2                                             2
    (-0.126410925742790 t  + 1.35733148789561 t + 0.529400585457390) Dt

                      2                                             3
     + 0.3437842866 (t  + 2.01940415327591 t + 0.541913447836577) Dt ]

computed_LS_GCRD_e4 := [

    -0.117361665994653 + 0.3689152492 (t - 2.49928335220951) Dt,

    -0.539646864136654 + 0.4994013289 (t - 1.35717592500742) Dt,

    0.459765814559187

     + 0.2938779650 (-2.51597819603870 t - 0.225528878296421) Dt

                                             2
     + 0.2938779650 (t - 1.32297424157278) Dt , -0.632344683149691

     + 0.3156090144 (1.52761670540234 t + 0.0999631920677654) Dt

                      2                                             2
     + 0.3156090144 (t  - 0.802423080415782 t + 1.42739915476916) Dt ,

    0.101973911454389

     + 0.1288445181 (2.79127925172790 t - 0.620027604968557) Dt + 0.1288445181

                         2                                            2
    (-0.792821562335897 t  + 5.47665637859179 t + 2.78793102071338) Dt

                      2                                             3
     + 0.1288445181 (t  + 3.37845184153894 t - 0.791687288964072) Dt ]

computed_LS_GCRD_e8 := [

    -0.117353229374229 + 0.3688244589 (t - 2.49999996873380) Dt,

    -0.539757653608128 + 0.4995629501 (t - 1.35632176697165) Dt,

    0.459777599283101

     + 0.2938784955 (-2.51612884534430 t - 0.225806396394789) Dt

                                             2
     + 0.2938784955 (t - 1.32258045905330) Dt , -0.632258022781742

     + 0.3161275758 (1.52500774925392 t + 0.100000885609807) Dt

                      2                                             2
     + 0.3161275758 (t  - 0.800006805963964 t + 1.42500651485196) Dt ,

    0.102087233942373

     + 0.1287186180 (2.79310407004267 t - 0.620690824110403) Dt + 0.1287186180

                         2                                            2
    (-0.793103151446200 t  + 5.48276072634575 t + 2.79310362261482) Dt

                      2                                             3
     + 0.1287186180 (t  + 3.37930968441804 t - 0.793105562865877) Dt ]

                                 -20                 -18                 -17
initial_error := [0.7683283520 10   , 0.1789600387 10   , 0.8056265147 10   ,

                   -16                 -16
    0.1031989213 10   , 0.2010100434 10   ]

initial_error_e2 := [0.002635794651, 0.0006981365678, 0.01699683966,

    0.003826909673, 0.3153143775]

                                    -7                 -6                 -6
initial_error_e4 := [0.1447772163 10  , 0.1204448193 10  , 0.1120816209 10  ,

                   -5                 -6
    0.1318596263 10  , 0.9293361284 10  ]

                                    -15                 -14
initial_error_e8 := [0.1663670976 10   , 0.1136041599 10   ,

                   -13                 -11                 -12
    0.1582392785 10   , 0.7711714379 10   , 0.2502784312 10   ]

                                          -19                      -19
newton_refinement := [0.550649182686627 10   , 0.155842778538555 10   ,

                        -19                      -19                      -19
    0.255900143142178 10   , 0.375462941121005 10   , 0.285848715638445 10   ]

newton_refinement_e2 := [0.0000937365757906743, 0.0000896068250683638,

    0.000126257300587455, 0.000104271590976575, 2.55910791219409]

                                             -8                      -7
newton_refinement_e4 := [0.795943804699043 10  , 0.117606143964949 10  ,

                        -7                      -7                      -8
    0.145625776699932 10  , 0.133929586784615 10  , 0.897294429780205 10  ]

                                             -16                      -16
newton_refinement_e8 := [0.899078353961346 10   , 0.430524200511535 10   ,

                        -15                      -15                      -15
    0.134886042390313 10   , 0.119125185043791 10   , 0.120455346447218 10   ]

             f_degrees := [[2, 2], [2, 2], [3, 2], [3, 4], [4, 4]]

             g_degrees := [[2, 2], [2, 2], [3, 2], [3, 4], [4, 4]]

             h_degrees := [[1, 1], [1, 1], [2, 1], [2, 2], [3, 2]]

