Starting with polynomial:
P : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Extension levels are: 7 38
-------------------------------------------------
Trying to find an order 38 Kronrod extension for:
P1 : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 429/16*t^45 - 72169911719419392897136001448880624089171490737/240166388178154259150935929874091544426731728*t^43 + 94362391958628597289725166917705830704971198429/60041597044538564787733982468522886106682932*t^41 - 9085730119350444824504858713689152554833785783975123/1783475598610973528454850215245003808912909812128*t^39 + 1574405545923913016031961112535338866499758975936824333/137327621093044961691023466573865293286294055533856*t^37 - 65280198100020112011591518437167581054392040641389291663/3433190527326124042275586664346632332157351388346400*t^35 + 10142800656010243445540827898946996961875903039044784019/421214972260179924514483742012275899575607817393760*t^33 - 2311404624307868512027434250287101011031153133197766687/97098256592444073508208914554777885941130373490120*t^31 + 438472054521485818762569472908375617726301692161591917/23543402577384782883767522956806083789942756222755*t^29 - 272532301615631574359877209264464821003356741479115537101/23449228967075243752232452864978859454782985197863980*t^27 + 30397319280553686009730753910926624845721148667368820207663/5236994469313471104665247806511945278234866694189622200*t^25 - 6799656284598375262234402848873620957808106058031620602185/2932716902815543818612538771646689355811525348746188432*t^23 + 5737440046243483855578073478816303693952878984205994484853/7778075263989050997189776742193393508891436794500760624*t^21 - 12156056069714101451910603238709430643733829962317557886947/65558062939336286976313832541344316717799252982220696688*t^19 + 48673167774199221891526383559949495946420144477838125489/1337919651823189530128853725333557484036719448616748912*t^17 - 9870184897932883884982674923345382040592622332132747970699/1802846730831747891848630394886968709739479457011069158920*t^15 + 444870577360998283956072312863798163391454037642281044779/721138692332699156739452157954787483895791782804427663568*t^13 - 36299347046964846747959246266551386844202641082267381215/721138692332699156739452157954787483895791782804427663568*t^11 + 77451675766256781970149923075518886898284943412181795653/27304933214233563525634711253469907912963388867094920170552*t^9 - 417986188201269677160832400074259129368840072258841255433/4060691858904824283125735267605584514101003084652743053423584*t^7 + 418387505528953597491718019897965041519167018872009170051/194333110390445162121017330663981544603405147622666988985271520*t^5 - 118124503877831653328866888398658314531209611605969507/5552374582584147489171923733256615560097289932076199685293472*t^3 + 2441907106248548698879755231285442037862728600283939/38866622078089032424203466132796308920681029524533397797054304*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.40584515137739716691 - 6.5423211453578698316e-935j)  +/-  (4.16e-248, 4.16e-248j)
| (0.99311871465402599022 - 1.2033349447110128912e-923j)  +/-  (9.25e-240, 9.25e-240j)
| (-0.94910791234275852453 - 2.8524954326748071183e-929j)  +/-  (7.99e-240, 7.99e-240j)
| (0.98302717551808456035 - 2.8503199870381816531e-938j)  +/-  (1.36e-239, 1.36e-239j)
| (0.89695444033183137638 + 8.8470070583458229122e-940j)  +/-  (2.16e-240, 2.16e-240j)
| (0.92527990983272503848 + 2.3152398968610152454e-943j)  +/-  (4.74e-240, 4.74e-240j)
| (-0.99311871465402599022 + 1.0965438522259314147e-946j)  +/-  (8.9e-240, 8.9e-240j)
| (-0.82731650802680986417 - 2.4538529315650776596e-965j)  +/-  (2.84e-241, 2.84e-241j)
| (0.99869716983629779653 - 2.0450372813866201288e-967j)  +/-  (3.43e-240, 3.43e-240j)
| (-0.99869716983629779653 + 4.5472349872457219266e-971j)  +/-  (3.33e-240, 3.33e-240j)
| (0.86424872654774620284 + 1.8966270265768332765e-987j)  +/-  (8.84e-241, 8.84e-241j)
| (-0.2075060231037000142 - 9.4217673498417759475e-999j)  +/-  (9.26e-252, 9.26e-252j)
| (-0.92527990983272503848 + 1.309876023204888235e-984j)  +/-  (4.71e-240, 4.71e-240j)
| (-0.78634138223211167125 - 7.4697829890664049588e-999j)  +/-  (6.7e-242, 6.7e-242j)
| (-0.98302717551808456035 + 4.3351420820885399891e-1009j)  +/-  (1.35e-239, 1.35e-239j)
| (0.78634138223211167125 - 5.2651393537308340489e-1033j)  +/-  (7.1e-242, 7.1e-242j)
| (0.82731650802680986417 + 1.7564344709762757762e-1031j)  +/-  (2.52e-241, 2.52e-241j)
| (-0.96836499411155083244 - 3.6274513720502337726e-1028j)  +/-  (1.14e-239, 1.14e-239j)
| (-0.86424872654774620284 + 1.4827910867971959837e-1037j)  +/-  (8.36e-241, 8.36e-241j)
| (-0.89695444033183137638 + 6.5353449181810580878e-1042j)  +/-  (2.2e-240, 2.2e-240j)
| (0.94910791234275852453 + 1.1655287664658207173e-1038j)  +/-  (8.89e-240, 8.89e-240j)
| (0.74153118559939443986 + 1.9404279789408201782e-1044j)  +/-  (1.51e-242, 1.51e-242j)
| (0.2075060231037000142 - 5.8373575445675980551e-1055j)  +/-  (9.85e-252, 9.85e-252j)
| (-0.74153118559939443986 + 4.2615553008339832551e-1045j)  +/-  (1.47e-242, 1.47e-242j)
| (-0.69311334988001176448 + 2.6338746489692522439e-1046j)  +/-  (2.81e-243, 2.81e-243j)
| (-6.4570646449027878704e-1063 + 9.0785225677404219654e-1063j)  +/-  (5.01e-1061, 5.01e-1061j)
| (0.69311334988001176448 - 1.970826258179949393e-1046j)  +/-  (2.83e-243, 2.83e-243j)
| (0.96836499411155083244 - 2.7541399330537686922e-1048j)  +/-  (1.16e-239, 1.16e-239j)
| (-0.4684154515856345436 + 7.3559423618108615034e-1058j)  +/-  (5.25e-247, 5.25e-247j)
| (-0.64133115028343268629 - 6.4216631875083037521e-1056j)  +/-  (4.24e-244, 4.24e-244j)
| (-0.27507723855088058796 - 8.5925877236394290196e-1062j)  +/-  (1.61e-250, 1.61e-250j)
| (0.4684154515856345436 - 2.739766008529785592e-1057j)  +/-  (5.5e-247, 5.5e-247j)
| (0.64133115028343268629 - 5.066113739485183421e-1055j)  +/-  (4.1e-244, 4.1e-244j)
| (0.0696281261216648487 - 1.8597425353961763632e-1067j)  +/-  (1.97e-254, 1.97e-254j)
| (-0.58644085221929352121 + 6.2982564344516821989e-1057j)  +/-  (5.52e-245, 5.52e-245j)
| (-0.40584515137739716691 + 2.1226716091072133305e-1061j)  +/-  (4.07e-248, 4.07e-248j)
| (0.13891088318625219794 + 2.6669333388709954895e-1065j)  +/-  (4.77e-253, 4.77e-253j)
| (0.58644085221929352121 - 4.70599122415868848e-1058j)  +/-  (5.34e-245, 5.34e-245j)
| (0.27507723855088058796 - 3.4672172346798864866e-1066j)  +/-  (1.74e-250, 1.74e-250j)
| (-0.34129641748462589504 + 1.2381660757763827295e-1063j)  +/-  (2.91e-249, 2.91e-249j)
| (-0.52870980256015580703 - 2.2329227594083481374e-1061j)  +/-  (5.55e-246, 5.55e-246j)
| (-0.13891088318625219794 - 2.7489039864972846188e-1068j)  +/-  (4.99e-253, 4.99e-253j)
| (0.34129641748462589504 - 4.8159801034169729089e-1063j)  +/-  (2.99e-249, 2.99e-249j)
| (0.52870980256015580703 + 1.3092385107699796937e-1061j)  +/-  (6.09e-246, 6.09e-246j)
| (-0.0696281261216648487 - 5.7001661085392297356e-1072j)  +/-  (1.97e-254, 1.97e-254j)
-------------------------------------------------
The weights are:
| (0.063609968775742402781 - 1.8400379968544947321e-924j)  +/-  (1.06e-71, 6.53e-187j)
| (0.0078238329722524496142 + 6.2562518609361708766e-924j)  +/-  (4.9e-72, 3.03e-187j)
| (0.021550788606607373572 - 1.7798500888878011392e-925j)  +/-  (1.03e-73, 6.35e-189j)
| (0.012369281814680291637 - 1.7381762456843620677e-923j)  +/-  (3.65e-72, 2.26e-187j)
| (0.030538410380891620391 - 5.24448910457538964e-924j)  +/-  (7.41e-73, 4.58e-188j)
| (0.026092866333498725576 + 6.2934111359809834293e-924j)  +/-  (8.88e-73, 5.49e-188j)
| (0.0078238329722524496142 + 4.739582427477176181e-926j)  +/-  (1.14e-74, 7.06e-190j)
| (0.038986461793849319807 - 3.5628454612909103284e-925j)  +/-  (3.65e-75, 2.26e-190j)
| (0.0033455310841379611872 + 4.9791453517069959427e-924j)  +/-  (2.43e-73, 1.5e-188j)
| (0.0033455310841379611872 - 1.3944037466125879946e-926j)  +/-  (5.2e-75, 3.22e-190j)
| (0.034847282343399086061 + 4.4858148931286149799e-924j)  +/-  (2.28e-74, 1.41e-189j)
| (0.068138609566801942177 + 9.6271198296971139063e-925j)  +/-  (6.11e-77, 3.78e-192j)
| (0.026092866333498725576 + 2.2258074171654239658e-925j)  +/-  (1.46e-75, 9.03e-191j)
| (0.042929073222169761631 + 4.0240108614911829984e-925j)  +/-  (1.84e-76, 1.14e-191j)
| (0.012369281814680291637 - 8.8753852563686747619e-926j)  +/-  (2.89e-75, 1.79e-190j)
| (0.042929073222169761631 + 3.4628694446287123189e-924j)  +/-  (3.17e-77, 1.96e-192j)
| (0.038986461793849319807 - 3.9117441080698322854e-924j)  +/-  (1.33e-76, 8.24e-192j)
| (0.016959377319530801351 + 1.3307794317077349919e-925j)  +/-  (6.6e-76, 4.08e-191j)
| (0.034847282343399086061 + 3.1125200499575617961e-925j)  +/-  (1.78e-77, 1.1e-192j)
| (0.030538410380891620391 - 2.6684943072322982604e-925j)  +/-  (3.48e-77, 2.15e-192j)
| (0.021550788606607373572 - 7.8544306980741499549e-924j)  +/-  (5.46e-78, 3.38e-193j)
| (0.046653352176882474059 - 3.1022707791408449764e-924j)  +/-  (1.3e-79, 8.02e-195j)
| (0.068138609566801942177 + 1.4712770082623621644e-924j)  +/-  (3.3e-82, 2.04e-197j)
| (0.046653352176882474059 - 4.4994902544460516756e-925j)  +/-  (7.86e-80, 4.86e-195j)
| (0.050141725686281849706 + 4.9915377510056353158e-925j)  +/-  (8.86e-81, 5.48e-196j)
| (0.069685793869027812112 - 1.1880646477202536527e-924j)  +/-  (9.15e-84, 5.66e-199j)
| (0.050141725686281849706 + 2.8055482123080555439e-924j)  +/-  (1e-81, 6.21e-197j)
| (0.016959377319530801351 + 1.0547000964988003147e-923j)  +/-  (2.09e-79, 1.29e-194j)
| (0.061481051900040578212 + 7.1399841038612038667e-925j)  +/-  (5.91e-84, 3.66e-199j)
| (0.053379930790552600576 - 5.501313619959544887e-925j)  +/-  (1.22e-82, 7.57e-198j)
| (0.066949110723434202543 - 8.9632677971531685297e-925j)  +/-  (2.68e-84, 1.66e-199j)
| (0.061481051900040578212 + 1.9887966961084906099e-924j)  +/-  (1.33e-84, 8.21e-200j)
| (0.053379930790552600576 - 2.5559572980464269675e-924j)  +/-  (1.01e-83, 6.22e-199j)
| (0.069512844117742296176 + 1.2747884567016851584e-924j)  +/-  (3.09e-85, 1.91e-200j)
| (0.056356091583401177051 + 6.0292088659914597479e-925j)  +/-  (3.64e-84, 2.25e-199j)
| (0.063609968775742402781 - 7.7243580970653494412e-925j)  +/-  (4.15e-85, 2.57e-200j)
| (0.06899558101916209623 - 1.3688657773043314795e-924j)  +/-  (7.41e-86, 4.58e-201j)
| (0.056356091583401177051 + 2.341761415536599821e-924j)  +/-  (6.18e-86, 3.83e-201j)
| (0.066949110723434202543 - 1.5830776004990028943e-924j)  +/-  (2.4e-86, 1.48e-201j)
| (0.065436167422632908619 + 8.3308243196585642302e-925j)  +/-  (3.1e-86, 1.91e-201j)
| (0.059059763431794174985 - 6.5753165305092102397e-925j)  +/-  (6.32e-86, 3.9e-201j)
| (0.06899558101916209623 - 1.0329209963123117281e-924j)  +/-  (3.18e-87, 1.98e-202j)
| (0.065436167422632908619 + 1.7054870118690451126e-924j)  +/-  (1.2e-87, 7.69e-203j)
| (0.059059763431794174985 - 2.1546626519889168893e-924j)  +/-  (9.65e-88, 6.4e-203j)
| (0.069512844117742296176 + 1.1077480816297430067e-924j)  +/-  (1.28e-87, 7.65e-203j)
