                       f_degrees := [[2, 2], [3, 2], [4, 2], [5, 2], [6, 2]]

                       g_degrees := [[2, 2], [3, 2], [4, 2], [5, 2], [6, 2]]

                       h_degrees := [[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]

computed_LS_GCRD := [

    0.0628770697810674 t - 0.197613647803459 + 0.4940341193 (t + 1.70909090997907) Dt,

    0.508372218649033 t - 0.327228094442060 - 0.362288247533558 Dt

                                              2
     + 0.5668058063 (t - 0.752577319059776) Dt , 0.0227368165814220 t + 0.471788950759200

     + 0.2501049865 (0.227272726966028 t - 1.40909090526544) Dt

                                                              2
     + 0.2501049865 (1.86363635993320 t - 1.81818181455016) Dt

                                             3
     + 0.2501049865 (t - 1.61363636161432) Dt , -0.104341616095372 t - 0.460330656568993

     + 0.4603306561 (-0.133333335178453 t - 0.0933333348033950) Dt

                                                                 2
     + 0.4603306561 (-0.533333333907552 t + 0.559999997739127) Dt

                                                                 3
     + 0.4603306561 (-0.666666668701614 t + 0.306666664661762) Dt

                                             4
     + 0.4603306561 (t - 1.22666666924171) Dt , 0.0312372911485838 t + 0.385259935340397

     + 0.05206215347 (7.20000000397536 t + 3.70000018394607) Dt

                                                                2
     + 0.05206215347 (-2.30000003938873 t + 8.70000030078868) Dt

                                                               3
     + 0.05206215347 (4.39999998883958 t + 2.90000018941066) Dt

                                                               4
     + 0.05206215347 (9.79999992507235 t - 2.29999957443840) Dt

                                              5
     + 0.05206215347 (t - 6.09999966947856) Dt ]

computed_LS_GCRD_e2 := [

    0.0808205692275084 t - 0.188304204191103 + 0.4759197270 (t + 1.79711727773007) Dt,

    0.512178709421011 t - 0.325672060819667 - 0.356657491569845 Dt

                                              2
     + 0.5743499080 (t - 0.727371645877690) Dt , 0.0248156412454768 t + 0.470275502328250

     + 0.2500348756 (0.237894722122896 t - 1.41837288366658) Dt

                                                              2
     + 0.2500348756 (1.88007616981863 t - 1.80620649348088) Dt

                                             3
     + 0.2500348756 (t - 1.60707342888587) Dt , -0.113159865602705 t - 0.466422468144549

     + 0.4622701719 (-0.144799120512697 t - 0.0694922194077860) Dt

                                                                 2
     + 0.4622701719 (-0.511255557563267 t + 0.540662633113768) Dt

                                                                 3
     + 0.4622701719 (-0.654097629173806 t + 0.300530052210538) Dt

                                             4
     + 0.4622701719 (t - 1.22636460791426) Dt , 0.0323573356487242 t + 0.371174499690961

     + 0.03607390416 (10.9385252617303 t + 5.74716338795778) Dt

                                                                2
     + 0.03607390416 (-3.13232628997506 t + 11.7205936689293) Dt

                                                               3
     + 0.03607390416 (6.89285715631121 t + 4.90483040478329) Dt

                                                               4
     + 0.03607390416 (14.1111855831362 t - 3.07069140675654) Dt

                                              5
     + 0.03607390416 (t - 8.98800462108729) Dt ]

computed_LS_GCRD_e4 := [

    0.0628965840789018 t - 0.197710636779596 + 0.4942880532 (t + 1.70786330771992) Dt,

    0.508892351086958 t - 0.326386576604242 - 0.362304610663796 Dt

                                              2
     + 0.5672931451 (t - 0.750806708969541) Dt , 0.0228216117002564 t + 0.471738299249664

     + 0.2502513833 (0.227769523403914 t - 1.40792917228244) Dt

                                                              2
     + 0.2502513833 (1.86297486364823 t - 1.81663564013835) Dt

                                             3
     + 0.2502513833 (t - 1.61280142934824) Dt , -0.104394579545380 t - 0.460378570064928

     + 0.4602102933 (-0.133582780386413 t - 0.0934683084395676) Dt

                                                                 2
     + 0.4602102933 (-0.533726307995542 t + 0.560179839282906) Dt

                                                                 3
     + 0.4602102933 (-0.667099065119108 t + 0.306609201915048) Dt

                                             4
     + 0.4602102933 (t - 1.22683142271769) Dt , 0.0314624882520250 t + 0.384892591790038

     + 0.05273323936 (7.12354856944870 t + 3.68747110294264) Dt

                                                                2
     + 0.05273323936 (-2.24978040407854 t + 8.61373220931682) Dt

                                                               3
     + 0.05273323936 (4.35203410584174 t + 2.90378438585914) Dt

                                                               4
     + 0.05273323936 (9.66881377489761 t - 2.19885546258869) Dt

                                              5
     + 0.05273323936 (t - 5.97383744591987) Dt ]

computed_LS_GCRD_e8 := [

    0.0628771005396301 t - 0.197613649977708 + 0.4940340783 (t + 1.70909109486439) Dt,

    0.508380947965057 t - 0.327234958619970 - 0.362271480556182 Dt

                                              2
     + 0.5668066143 (t - 0.752571832603563) Dt , 0.0227367895378625 t + 0.471788928723473

     + 0.2501049410 (0.227272473369604 t - 1.40909138359307) Dt

                                                              2
     + 0.2501049410 (1.86363660602028 t - 1.81818227446154) Dt

                                             3
     + 0.2501049410 (t - 1.61363668844069) Dt , -0.104341112652110 t - 0.460330844977712

     + 0.4603321013 (-0.133333106874394 t - 0.0933338014519194) Dt

                                                                 2
     + 0.4603321013 (-0.533331202433140 t + 0.559998545714494) Dt

                                                                 3
     + 0.4603321013 (-0.666662820928958 t + 0.306666295521936) Dt

                                             4
     + 0.4603321013 (t - 1.22666091411401) Dt , 0.0312372843061743 t + 0.385259898835039

     + 0.05206222985 (7.19998978936038 t + 3.69999410465363) Dt

                                                                2
     + 0.05206222985 (-2.29999494255440 t + 8.69998659028590) Dt

                                                               3
     + 0.05206222985 (4.39999457224272 t + 2.89999526951006) Dt

                                                               4
     + 0.05206222985 (9.79998699413833 t - 2.29999634587139) Dt

                                              5
     + 0.05206222985 (t - 6.09999053175416) Dt ]

                                 -19                 -17                 -17                 -17
initial_error := [0.6366387966 10   , 0.1094982071 10   , 0.2773344456 10   , 0.8325115000 10   ,

                   -14
    0.7810524253 10   ]

initial_error_e2 :=

    [0.001131098718, 0.0006721797920, 0.0003003653883, 0.0009019824801, 0.006615522963]

initial_error_e4 :=

                    -6                 -5                 -6                 -6
    [0.1042931134 10  , 0.2602332272 10  , 0.3449453519 10  , 0.1013070216 10  , 0.0002740844619]

memory used=54525.1MB, alloc=67.8MB, time=904.79
                                    -14                 -9                 -13                 -11
initial_error_e8 := [0.5254683818 10   , 0.5611595424 10  , 0.3932549067 10   , 0.6487880300 10   ,

                   -12
    0.2335923953 10   ]

                                          -19                      -18                      -19
newton_refinement := [0.329686787785886 10   , 0.125036539960673 10   , 0.634120464065952 10   ,

                        -19                      -19
    0.748892546987070 10   , 0.492317464177287 10   ]

newton_refinement_e2 := [0.0000290713983956175, 0.000113998473089631, 0.000104038867910395,

    0.000123557135891184, 1.99644397983830]

                                             -8                      -7                      -8
newton_refinement_e4 := [0.600471205561497 10  , 0.136198413152112 10  , 0.644411395884162 10  ,

                        -7                      -7
    0.112482930239923 10  , 0.112566365623562 10  ]

                                             -16                      -15                      -15
newton_refinement_e8 := [0.585699975741481 10   , 0.112427645087462 10   , 0.155382006744459 10   ,

                        -15                      -15
    0.111972652596923 10   , 0.140886830794146 10   ]

                       f_degrees := [[2, 2], [3, 2], [4, 2], [5, 2], [6, 2]]

                       g_degrees := [[2, 2], [3, 2], [4, 2], [5, 2], [6, 2]]

                       h_degrees := [[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]


> quit
memory used=54761.2MB, alloc=91.8MB, time=920.85
