Starting with polynomial:
P : t
Extension levels are: 1 42
-------------------------------------------------
Trying to find an order 42 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^43 - 903/85*t^41 + 74046/1411*t^39 - 6096454/38097*t^37 + 112784399/334407*t^35 - 112784399/216381*t^33 + 902275192/1475325*t^31 - 3995790136/7179915*t^29 + 202786349402/509773965*t^27 - 2636222542226/11724801195*t^25 + 5272445084452/52370778671*t^23 - 405572698804/11384951885*t^21 + 202786349402/20492913393*t^19 - 296380049126/138896412997*t^17 + 2879120477224/8194888366823*t^15 - 1060728596872/24584665100469*t^13 + 1723683969917/450718860175265*t^11 - 101393174701/434329083441619*t^9 + 202786349402/22150783255522569*t^7 - 1524709394/7383594418507523*t^5 + 762354697/347028937669853581*t^3 - 762354697/109314115366003878015*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 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:
| (-0.99847233224250771352 + 2.7617286877244598728e-842j)  +/-  (4.21e-241, 4.21e-241j)
| (0.96348661301407999341 + 1.2069170495221801855e-842j)  +/-  (1.52e-240, 1.52e-240j)
| (-0.88345376521861686334 - 6.8130750371584299085e-866j)  +/-  (2.85e-241, 2.85e-241j)
| (0.99195955759324414642 + 1.9693574398611639754e-864j)  +/-  (1.22e-240, 1.22e-240j)
| (0.91494790720613872946 - 1.7707769786151482569e-878j)  +/-  (5.6e-241, 5.6e-241j)
| (0.80683596413693863528 + 6.1877498453471403365e-888j)  +/-  (2.96e-242, 2.96e-242j)
| (-0.35328261286430380665 - 1.0930275683550063138e-900j)  +/-  (2.4e-249, 2.4e-249j)
| (-0.91494790720613872946 + 5.2944219176315014261e-891j)  +/-  (5.71e-241, 5.71e-241j)
| (-0.94167195684763786182 + 4.3805202548532433895e-891j)  +/-  (1.07e-240, 1.07e-240j)
| (-0.99195955759324414642 + 1.6652224367743272248e-890j)  +/-  (1.12e-240, 1.12e-240j)
| (0.88345376521861686334 - 2.0458960258514337332e-893j)  +/-  (2.74e-241, 2.74e-241j)
| (-0.96348661301407999341 - 9.047336816350306895e-907j)  +/-  (1.44e-240, 1.44e-240j)
| (-0.072152990874586235422 - 5.0189858094607645991e-913j)  +/-  (2.16e-254, 2.16e-254j)
| (-0.80683596413693863528 + 4.2475350131183466211e-910j)  +/-  (2.92e-242, 2.92e-242j)
| (0.99847233224250771352 + 1.7664118563245595811e-905j)  +/-  (3.96e-241, 3.96e-241j)
| (0.847353716209315049 + 8.8893516019484941583e-922j)  +/-  (9.56e-242, 9.56e-242j)
| (0.66099731375149813317 - 1.7958805500776993172e-929j)  +/-  (2.46e-244, 2.46e-244j)
| (-0.847353716209315049 - 4.2457394633105895435e-926j)  +/-  (9.7e-242, 9.7e-242j)
| (-0.76211174719495512146 - 1.2826016348699077212e-927j)  +/-  (7.29e-243, 7.29e-243j)
| (-0.98027822098025533151 - 5.7118793373918602433e-925j)  +/-  (1.58e-240, 1.58e-240j)
| (0.98027822098025533151 + 3.7169445928165887926e-926j)  +/-  (1.68e-240, 1.68e-240j)
| (0.71341423526895705485 + 2.0820167704097066035e-942j)  +/-  (1.51e-243, 1.51e-243j)
| (-0.41986137602926925249 - 7.7426645073375780805e-950j)  +/-  (3.7e-248, 3.7e-248j)
| (-0.66099731375149813317 + 1.302015618064796333e-945j)  +/-  (2.51e-244, 2.51e-244j)
| (-0.71341423526895705485 - 1.2148097865009711691e-944j)  +/-  (1.48e-243, 1.48e-243j)
| (0.28486199803291362711 + 2.1121551978925592623e-951j)  +/-  (1.71e-250, 1.71e-250j)
| (0.76211174719495512146 - 1.8274686524810173557e-945j)  +/-  (7.71e-243, 7.71e-243j)
| (0.35328261286430380665 - 2.8436143398188570951e-953j)  +/-  (2.52e-249, 2.52e-249j)
| (0.94167195684763786182 + 2.1539579243371905444e-953j)  +/-  (1.05e-240, 1.05e-240j)
| (-0.60513425963960093573 + 8.9903268130532105682e-973j)  +/-  (4.34e-245, 4.34e-245j)
| (1.0419401011204057849e-982 + 2.2583352207941825024e-982j)  +/-  (1.07e-980, 1.07e-980j)
| (0.48425117678573472407 + 1.0910114198930197438e-972j)  +/-  (4.24e-247, 4.24e-247j)
| (0.54611631666008471914 + 2.3984106693407067034e-973j)  +/-  (4.62e-246, 4.62e-246j)
| (0.072152990874586235422 - 8.9431676079195610666e-984j)  +/-  (2.16e-254, 2.16e-254j)
| (-0.48425117678573472407 + 1.0954482036835474075e-976j)  +/-  (4.67e-247, 4.67e-247j)
| (-0.28486199803291362711 + 6.7512829374536707892e-980j)  +/-  (1.72e-250, 1.72e-250j)
| (0.14392980951071331077 + 5.8129513142756924576e-982j)  +/-  (3.87e-253, 3.87e-253j)
| (0.60513425963960093573 - 1.5788687020585960371e-977j)  +/-  (3.85e-245, 3.85e-245j)
| (0.21495624486051820901 - 7.4502943051037258519e-986j)  +/-  (8.77e-252, 8.77e-252j)
| (-0.21495624486051820901 + 2.2282500478666234627e-985j)  +/-  (9.46e-252, 9.46e-252j)
| (-0.54611631666008471914 + 7.7527150986916263648e-981j)  +/-  (4.42e-246, 4.42e-246j)
| (-0.14392980951071331077 - 1.1882756628927489644e-989j)  +/-  (4e-253, 4e-253j)
| (0.41986137602926925249 - 1.6228422647760648917e-981j)  +/-  (4e-248, 4e-248j)
-------------------------------------------------
The weights are:
| (0.003919490253844127283 + 3.5412376917682063631e-842j)  +/-  (3.5e-76, 4.74e-192j)
| (0.019319901423683900396 - 3.7272193173497645458e-843j)  +/-  (1.36e-76, 1.83e-192j)
| (0.033826492086860292345 + 2.3735644988396613648e-842j)  +/-  (6.52e-77, 8.82e-193j)
| (0.0091039966374014033189 + 2.4672373640918801179e-843j)  +/-  (4.12e-77, 5.58e-193j)
| (0.029134413261498494916 - 1.0018053654794706191e-842j)  +/-  (6.5e-77, 8.8e-193j)
| (0.042658057197982083764 + 6.9950906637594463002e-843j)  +/-  (2.71e-77, 3.67e-193j)
| (0.067558402229365169192 + 1.295028706514599519e-842j)  +/-  (2.8e-78, 3.8e-194j)
| (0.029134413261498494916 - 2.6037076557306198226e-842j)  +/-  (8.89e-78, 1.2e-193j)
| (0.024290456613838815902 + 2.9067675111207803367e-842j)  +/-  (2.91e-78, 3.93e-194j)
| (0.0091039966374014033189 - 5.8056655820442125132e-842j)  +/-  (7.2e-79, 9.74e-195j)
| (0.033826492086860292345 + 8.1784918061738398152e-843j)  +/-  (6.03e-80, 8.16e-196j)
| (0.019319901423683900396 - 3.3408718918063221619e-842j)  +/-  (8.76e-79, 1.19e-194j)
| (0.072027501971421974345 + 1.0661847612600036647e-842j)  +/-  (4.01e-82, 5.43e-198j)
| (0.042658057197982083764 + 2.0355866641784252912e-842j)  +/-  (1.91e-80, 2.58e-196j)
| (0.003919490253844127283 - 5.652744451204952887e-844j)  +/-  (3.7e-81, 5e-197j)
| (0.038342222194132657572 - 7.3725031420591639092e-843j)  +/-  (1.58e-80, 2.13e-196j)
| (0.054187080318881786863 - 6.9117571637135273828e-843j)  +/-  (1.83e-82, 2.47e-198j)
| (0.038342222194132657572 - 2.1891104952013170478e-842j)  +/-  (1.75e-80, 2.38e-196j)
| (0.046751494754346580011 - 1.9041809864143370872e-842j)  +/-  (7.21e-82, 9.76e-198j)
| (0.014248756431576486109 + 4.0648003316602032283e-842j)  +/-  (2.36e-80, 3.2e-196j)
| (0.014248756431576486109 - 8.4287650407118583827e-843j)  +/-  (3.37e-82, 4.56e-198j)
| (0.050601192784390156524 + 6.8305860996686593855e-843j)  +/-  (1.78e-83, 2.4e-199j)
| (0.065541242126322797491 - 1.3618185023443832155e-842j)  +/-  (2.02e-84, 2.74e-200j)
| (0.054187080318881786863 - 1.6870313485462967433e-842j)  +/-  (9.61e-84, 1.3e-199j)
| (0.050601192784390156524 + 1.789259218561580284e-842j)  +/-  (4.68e-83, 6.33e-199j)
| (0.069223344193656684282 - 8.4779412939415283652e-843j)  +/-  (3.9e-87, 5.28e-203j)
| (0.046751494754346580011 - 6.8436248139692717296e-843j)  +/-  (1.39e-84, 1.89e-200j)
| (0.067558402229365169192 + 8.1255661290117956374e-843j)  +/-  (2.72e-87, 3.68e-203j)
| (0.024290456613838815902 + 1.5909794777031154699e-842j)  +/-  (3.35e-84, 4.53e-200j)
| (0.057490461956910519428 + 1.5948472537262152831e-842j)  +/-  (4.9e-86, 6.63e-202j)
| (0.072215751693798987977 - 1.0169412944660831857e-842j)  +/-  (7.52e-88, 1.02e-203j)
| (0.063182380449396112326 + 7.5164931943847668857e-843j)  +/-  (1.11e-87, 1.51e-203j)
| (0.06049411524999129452 - 7.2670794892369278757e-843j)  +/-  (1.69e-87, 2.28e-203j)
| (0.072027501971421974345 + 9.7052177551224494403e-843j)  +/-  (9.9e-89, 1.34e-204j)
| (0.063182380449396112326 + 1.4334735376828137583e-842j)  +/-  (2.41e-88, 3.27e-204j)
| (0.069223344193656684282 - 1.2324886919339541422e-842j)  +/-  (4.36e-89, 5.9e-205j)
| (0.071463734252514141298 - 9.2685609361987905901e-843j)  +/-  (2e-89, 2.71e-205j)
| (0.057490461956910519428 + 7.0622811752938953489e-843j)  +/-  (4.39e-89, 5.92e-205j)
| (0.070527387765085028126 + 8.8593141247721593939e-843j)  +/-  (1.35e-89, 1.83e-205j)
| (0.070527387765085028126 + 1.1737263221770205025e-842j)  +/-  (1.82e-90, 2.47e-206j)
| (0.06049411524999129452 - 1.5107974109990151852e-842j)  +/-  (2.26e-90, 3.04e-206j)
| (0.071463734252514141298 - 1.1183815859844835155e-842j)  +/-  (1.54e-90, 2.1e-206j)
| (0.065541242126322797491 - 7.804104312398862517e-843j)  +/-  (9.62e-91, 1.17e-206j)
