                                                                             f_degrees := [[2, 3], [2, 6], [2, 8], [2, 11], [2, 13]]

                                                                             g_degrees := [[2, 3], [2, 6], [2, 8], [2, 11], [2, 13]]

                                                                             h_degrees := [[1, 2], [1, 4], [1, 6], [1, 8], [1, 10]]

                                         2                                                            2
computed_LS_GCRD := [0.0460576155306801 t  - 0.144752506330691 t + 0.361881264881583 + 0.6184879803 (t  - 0.925531916408648 t + 0.595744680357245) Dt,

                       3                      2                                                             4                      3                      2
    0.300549760283050 t  - 0.470214940213046 t  + 0.353873117205779 t + 0.0193903077391614 + 0.4023488998 (t  + 0.120481910262629 t  - 0.746987909730672 t  + 0.987951719591890 t - 0.963855387487860) Dt,

                         6                      5                       -8  4                       3                       2
    -0.0912070660539643 t  - 0.402383472330369 t  - 0.884740104724836 10   t  - 0.0536511235592638 t  - 0.0375558681831385 t  - 0.214604429643402 t + 0.225334727495567

                      6                       -5  5                     4                     3                      2                                                                 7                       6
     + 0.1233975302 (t  + 0.150932559337857 10   t  + 3.26087023865063 t  - 4.00000180412889 t  + 0.260870646163834 t  + 3.21739386094721 t + 3.13043625957833) Dt, 0.126808917024569 t  - 0.0551343540939624 t

                          5                       4                       -6  3                      2                                             -8
     + 0.336319229677219 t  + 0.0441075924976574 t  - 0.331866981342871 10   t  + 0.159889751672802 t  - 0.523775913140244 t - 0.488768790560682 10   + 0.05513428219

      8                     7                       -5  6                     5                       -6  4                     3                     2                       -6
    (t  - 3.09999662871120 t  - 0.153758865467295 10   t  + 5.10000006526590 t  - 0.911535289308555 10   t  - 7.69999834495928 t  - 9.50000459264068 t  - 0.152137911044483 10   t - 0.100000060905842) Dt,

                       10                       -6  9                      8                      7                       -6  6                       5                      4                       -6  3
    0.100357519446143 t   + 0.207675709133247 10   t  + 0.188170403259631 t  - 0.169353830896112 t  - 0.329558066385576 10   t  - 0.0940845155243561 t  - 0.370068175253931 t  - 0.866956978915560 10   t

                          2                       -7                         -9                  10                      9                       -5  8                       -6  7                       6
     - 0.602143892565830 t  + 0.830737336367154 10   t + 0.197259548526901 10   + 0.3324342749 (t   - 0.528300134920745 t  - 0.369220171013513 10   t  + 0.862693299340693 10   t  + 0.0943422473915772 t

                          5                      4                     3                       -6  2                       -8
     + 0.245280598384896 t  - 0.188681184507349 t  - 1.54716655004331 t  + 0.346397187475545 10   t  + 0.893507572940857 10   t) Dt]

                                             2                                                            2
computed_LS_GCRD_e2 := [0.00680917546233582 t  - 0.171428142046640 t + 0.350399471479774 + 0.6394870839 (t  - 0.878923745041830 t + 0.548274796554736) Dt,

                        3                      2                                                             4                      3                      2
    0.0438968715396534 t  - 0.381625842540838 t  - 0.101557020778154 t + 0.0166409413989620 + 0.5468156261 (t  + 0.796642802545416 t  + 0.627603663468725 t  + 0.848026561492256 t + 0.260360720982060) Dt,

                       6                      5                      4                       3                      2
    0.405270081321402 t  + 0.137543117709365 t  + 0.347777980821440 t  - 0.0412150683767712 t  + 0.160632121299410 t  - 0.0695494961507184 t - 0.0440127399620584

                      6                      5                      4                      3                      2                                                                   7                      6
     + 0.4705276318 (t  - 0.906576948128751 t  + 0.421756525103395 t  - 0.464637161313749 t  - 0.610901757928468 t  - 0.571665186445378 t - 0.269657933571469) Dt, 0.327523937812300 t  - 0.313312798501337 t

                          5                      4                      3                      2
     + 0.225648300678788 t  - 0.425481694185153 t  + 0.332272298909256 t  - 0.173510881019849 t  + 0.119510069931736 t - 0.0380599727372118 +

                   8                      7                       6                      5                      4                       3                      2
    0.3900744626 (t  - 0.730940495046509 t  - 0.0796280065010471 t  - 0.760159646175731 t  + 0.648138577993134 t  - 0.0946104535277376 t  + 0.240849794126533 t  - 0.255347172802620 t - 0.00105688980447736) Dt

                         10                      9                      8                      7                      6                      5                      4                      3
    , 0.148894468644911 t   - 0.161107636950225 t  - 0.235858588530758 t  - 0.471225621458922 t  - 0.185390675596294 t  + 0.132587665891065 t  - 0.146021765856340 t  + 0.167526906973604 t

                           2                                                               10                      9                      8                      7                     6                      5
     + 0.0935202418976497 t  - 0.0279406827163197 t + 0.00105056537407685 + 0.3586225786 (t   + 0.189483780613943 t  - 0.838558130418021 t  - 0.464243432198379 t  - 1.01648891512505 t  - 0.619834507091589 t

                          4                      3                      2
     + 0.934936074000127 t  + 0.319662487381015 t  - 0.177758859473438 t  + 0.0132956567392681 t - 0.000422097473330666) Dt]

                                            2                                                            2
computed_LS_GCRD_e4 := [0.0448860414213667 t  - 0.146010759543581 t + 0.361392784357084 + 0.6183629237 (t  - 0.926724327799988 t + 0.594847461061937) Dt,

                       3                      2                                                             4                      3                      2
    0.302427460089385 t  - 0.470301672652192 t  + 0.354039718053415 t + 0.0185247454136517 + 0.3965512252 (t  + 0.119454348924676 t  - 0.773617810294253 t  + 1.00220898148251 t - 0.977018526689221) Dt,

                        6                      5                       4                       3                       2
    0.0234049161896861 t  - 0.376401307828959 t  - 0.0291511811441213 t  - 0.0786671609307457 t  + 0.0567328239847425 t  - 0.280528682730878 t + 0.226032702411659

                      6                     5                     4                     3                       2                                                                 7                      6
     + 0.1579975808 (t  - 1.13685769824583 t  + 2.98947182163660 t  - 2.87410962378477 t  + 0.0353279302709506 t  + 1.82585659514202 t + 2.43446014008594) Dt, 0.109082048063905 t  - 0.155910831577676 t

                          5                       4                       3                      2
     + 0.344963013194426 t  - 0.0537804281192701 t  + 0.0370091955136654 t  + 0.293164810035283 t  - 0.501718559034949 t + 0.00205424329385590

                      8                     7                      6                     5                     4                     3                     2
     + 0.1522121029 (t  - 1.31214458322874 t  - 0.770456912530863 t  + 1.75375244389358 t  + 1.27134485805435 t  - 1.74605809886602 t  - 3.26275018651789 t  + 0.0434019819271294 t - 0.0318801776190361) Dt,

                       10                       9                      8                      7                        6                       5                      4                       3
    0.199581170182411 t   + 0.0785658514164962 t  + 0.231931621468818 t  - 0.211821190211391 t  - 0.00529914874091127 t  - 0.0826634500181486 t  - 0.449526458121939 t  + 0.0154551022813786 t

                          2                                                                10                      9                       8                      7                       6
     - 0.527978476616699 t  + 0.0230730709204966 t + 0.000642024913353696 + 0.3704588656 (t   - 0.426424110003897 t  + 0.0487148595548068 t  + 0.256075944249623 t  - 0.0213554778341121 t

                          5                      4                     3                       2
     - 0.179376663167464 t  - 0.162049236638987 t  - 1.16488185640443 t  + 0.0867105258399899 t  + 0.00543221636638162 t + 0.0000346100017096823) Dt]

                                            2                                                            2
computed_LS_GCRD_e8 := [0.0460576150666902 t  - 0.144752524946588 t + 0.361881243508399 + 0.6184880227 (t  - 0.925531820825120 t + 0.595744597400062) Dt,

                       3                      2                                                             4                      3                      2
    0.300549577232210 t  - 0.470215027233856 t  + 0.353873258388341 t + 0.0193902502271636 + 0.4023489189 (t  + 0.120482023087356 t  - 0.746986850449315 t  + 0.987951796038421 t - 0.963855721502885) Dt,

                         6                      5                       -6  4                       3                       2
    -0.0912121923523472 t  - 0.402383485411627 t  - 0.599417211699749 10   t  - 0.0536529147970455 t  - 0.0375563711491352 t  - 0.214603377226485 t + 0.225335996289604

                      6                          5                     4                     3                      2                                                                 7                       6
     + 0.1233924095 (t  + 0.0000283648238956518 t  + 3.26097225336488 t  - 4.00014998452905 t  + 0.260943276200596 t  + 3.21755613219683 t + 3.13058860148131) Dt, 0.126808698601921 t  - 0.0551400546546167 t

                          5                       4                          3                      2                                             -9
     + 0.336326867128086 t  + 0.0440941396493462 t  + 0.0000131174760568902 t  + 0.159883766631898 t  - 0.523772838718812 t + 0.329442793933921 10   + 0.05513873590

      8                     7                          6                     5                         4                     3                     2                       -6
    (t  - 3.09988255142376 t  + 0.0000505081070756146 t  + 5.09955000432068 t  + 0.000153765175714875 t  - 7.69942908301842 t  - 9.49917258884037 t  + 0.811427607265201 10   t - 0.0999909529378822) Dt,

                       10                       -5  9                      8                      7                       -5  6                       5                      4                       -5  3
    0.100359523723353 t   - 0.153254293460561 10   t  + 0.188172537977274 t  - 0.169352425186239 t  + 0.284859363885324 10   t  - 0.0940860068944557 t  - 0.370066112653530 t  + 0.241324419706549 10   t

                          2                       -6                         -7                  10                      9                       -5  8                       -5  7                       6
     - 0.602144906521234 t  + 0.461969618714777 10   t + 0.157540968077419 10   + 0.3324312833 (t   - 0.528305824846089 t  + 0.547659358842854 10   t  + 0.132726240359489 10   t  + 0.0943350731461348 t

                          5                      4                     3                       -5  2                       -6                         -8
     + 0.245289882508737 t  - 0.188676503877432 t  - 1.54718405552933 t  + 0.235704064157368 10   t  + 0.409187138679470 10   t - 0.737113819742237 10  ) Dt]

                                                                               -17                 -14                 -12                 -12                 -10
                                              initial_error := [0.2424183562 10   , 0.1428430471 10   , 0.1089796196 10   , 0.3619245265 10   , 0.1459467354 10   ]

                                                            initial_error_e2 := [0.01270928106, 0.5042866672, 2.546155542, 2.101619088, 1.366907335]

                                                       initial_error_e4 := [0.00001628721916, 0.00007789939157, 0.06936101729, 0.2792665292, 0.1927963361]

                                                                                  -14                 -12                 -9                 -9                 -9
                                              initial_error_e8 := [0.5390038953 10   , 0.1869739877 10   , 0.3922684240 10  , 0.6207499073 10  , 0.2235884324 10  ]

                                                                         -19                      -19                      -19                      -19                      -18
                               newton_refinement := [0.271308882802376 10   , 0.836400261898641 10   , 0.806677702680624 10   , 0.282041412350584 10   , 0.183968496711100 10   ]

                                             newton_refinement_e2 := [0.000143153037314589, 1.86512864355248, 57447.8769942144, 183.172882053244, 26.7902431848822]

                                                                                      -7                      -7
                                         newton_refinement_e4 := [0.108006884789382 10  , 0.131180058269330 10  , 13.0823894365220, 6830.57332762876, 248.878391704327]

                                                                           -16                      -16                      -15                      -15                      -15
                              newton_refinement_e8 := [0.894449887699521 10   , 0.977064042177064 10   , 0.115653359118686 10   , 0.126549823682898 10   , 0.103136678882195 10   ]

                                                                             f_degrees := [[2, 3], [2, 6], [2, 8], [2, 11], [2, 13]]

                                                                             g_degrees := [[2, 3], [2, 6], [2, 8], [2, 11], [2, 13]]

                                                                             h_degrees := [[1, 2], [1, 4], [1, 6], [1, 8], [1, 10]]


> quit
memory used=32011.3MB, alloc=77.1MB, time=499.43
