Starting with polynomial:
P : t^7 - 21*t^5 + 105*t^3 - 105*t
Extension levels are: 7 38
-------------------------------------------------
Trying to find an order 38 Kronrod extension for:
P1 : t^7 - 21*t^5 + 105*t^3 - 105*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^45 - 12050032700228448587776224934207827/13775531955568948500205568445646*t^43 + 52614686656685246950832319790047651117/151530851511258433502261252902106*t^41 - 100602978317247610255067719844713391852511/1212246812090067468018090023216848*t^39 + 16201438066088214512676370698573330775786251/1212246812090067468018090023216848*t^37 - 1864208036555688966057985938621082150305913623/1212246812090067468018090023216848*t^35 + 848148094822858393564514356567854787530492165/6482603273208916941273208680304*t^33 - 13619292266413616787086618871009403463265947325/1620650818302229235318302170076*t^31 + 668627934665672797011567255164666439258527077665/1620650818302229235318302170076*t^29 - 25250322598309037250702336464621065826452688883165/1620650818302229235318302170076*t^27 + 31945563889371882274195075186772732227964276295315/70463079056618662405143572612*t^25 - 1429191840630651293309601276104625148677794156143125/140926158113237324810287145224*t^23 + 24426112109167064204354977886344775271140754618143625/140926158113237324810287145224*t^21 - 315758557605655763308824619322816128846691118052489125/140926158113237324810287145224*t^19 + 3042933308325165608281195921670788174944957670733149125/140926158113237324810287145224*t^17 - 10715351200373550471378485263472461528328283830466453375/70463079056618662405143572612*t^15 + 53690507537399505333785818119428756094864811107995814375/70463079056618662405143572612*t^13 - 184517600443474308328424678891107178154394024669322173125/70463079056618662405143572612*t^11 + 413146006175578511908047973524178825087237555818173713125/70463079056618662405143572612*t^9 - 2234190975845848353343046241750660646038172949229833761875/281852316226474649620574290448*t^7 + 1613666619519183066043286176380616639795254761605815579375/281852316226474649620574290448*t^5 - 496981864782321270134895413711895298223090080722694246875/281852316226474649620574290448*t^3 + 38212832306298129804760493560748714492146332772084396875/281852316226474649620574290448*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:
| (-10.038613528498254218 - 1.7205542319585073501e-645j)  +/-  (1.19e-245, 1.19e-245j)
| (9.3240564460462773344 - 5.9382840568315842731e-652j)  +/-  (3.18e-245, 3.18e-245j)
| (-9.3240564460462773344 - 5.8755761612737136417e-664j)  +/-  (3.41e-245, 3.41e-245j)
| (10.836812536450116331 - 1.6996964967772366738e-670j)  +/-  (2.34e-246, 2.34e-246j)
| (-11.797773773243084839 + 1.3677964156723965261e-675j)  +/-  (1.96e-247, 1.96e-247j)
| (-10.836812536450116331 + 4.6757350060517225562e-688j)  +/-  (2.29e-246, 2.29e-246j)
| (8.0399049249884418486 - 3.5322200090770541943e-707j)  +/-  (9.47e-245, 9.47e-245j)
| (3.2707862344014179086 + 1.5924734457459492657e-731j)  +/-  (1.55e-247, 1.55e-247j)
| (6.3204592745835872734 - 2.1958846698382281329e-743j)  +/-  (7.19e-245, 7.19e-245j)
| (5.7824926918264404006 - 3.6585026141440819039e-762j)  +/-  (3.7e-245, 3.7e-245j)
| (11.797773773243084839 + 2.4522003979294320528e-769j)  +/-  (1.82e-247, 1.82e-247j)
| (-3.7504397177257422563 - 7.9519049931678459481e-772j)  +/-  (6.68e-247, 6.68e-247j)
| (-3.2707862344014179086 + 9.6511539198030401818e-773j)  +/-  (1.65e-247, 1.65e-247j)
| (-2.8069690756665884569 - 2.3212365652829486378e-773j)  +/-  (3.66e-248, 3.66e-248j)
| (-4.2421199371994731728 - 2.9988992594417547004e-771j)  +/-  (2.45e-246, 2.45e-246j)
| (2.8069690756665884569 - 1.0599328072315803338e-772j)  +/-  (3.57e-248, 3.57e-248j)
| (4.7445231005132185035 - 2.728435707971082797e-770j)  +/-  (7.35e-246, 7.35e-246j)
| (-7.4455326322116374903 + 1.219077978403048431e-771j)  +/-  (1.13e-244, 1.13e-244j)
| (-8.6629883372958777093 - 1.070113332310224645e-778j)  +/-  (7.14e-245, 7.14e-245j)
| (7.4455326322116374903 - 1.1096478609818447511e-788j)  +/-  (1.11e-244, 1.11e-244j)
| (1.9569394150418345994 + 2.8544731880784537708e-803j)  +/-  (1.15e-249, 1.15e-249j)
| (-6.3204592745835872734 - 2.9095841671320553561e-798j)  +/-  (6.15e-245, 6.15e-245j)
| (10.038613528498254218 + 1.9528307668365718289e-801j)  +/-  (1.11e-245, 1.11e-245j)
| (1.5622308712009400076 + 1.6649452528416074778e-810j)  +/-  (1.42e-250, 1.42e-250j)
| (-1.5622308712009400076 + 4.1223166663356979101e-810j)  +/-  (1.53e-250, 1.53e-250j)
| (-8.0399049249884418486 + 1.4549476435103118328e-803j)  +/-  (9.41e-245, 9.41e-245j)
| (1.1544053947399681272 - 6.2939763499117766288e-812j)  +/-  (1.33e-251, 1.33e-251j)
| (3.7504397177257422563 + 1.6304243763183007368e-807j)  +/-  (7.53e-247, 7.53e-247j)
| (-2.3667594107345412886 - 9.4340149943665435854e-810j)  +/-  (7.32e-249, 7.32e-249j)
| (-1.1544053947399681272 + 4.5669619296825421085e-812j)  +/-  (1.38e-251, 1.38e-251j)
| (-5.7824926918264404006 - 1.9588823383646131734e-804j)  +/-  (3.93e-245, 3.93e-245j)
| (2.3667594107345412886 - 1.7229581666706699329e-810j)  +/-  (6.4e-249, 6.4e-249j)
| (-5.2576902878397981195 - 9.9479893485844447173e-806j)  +/-  (1.79e-245, 1.79e-245j)
| (5.2576902878397981195 + 1.636507712704539474e-815j)  +/-  (1.76e-245, 1.76e-245j)
| (1.4549162563630755733e-844 + 5.4180955290364356219e-845j)  +/-  (6.99e-843, 6.99e-843j)
| (-6.8737926106055968715 + 1.2664256273424090127e-832j)  +/-  (1.04e-244, 1.04e-244j)
| (8.6629883372958777093 + 1.8888930881461145304e-856j)  +/-  (6.35e-245, 6.35e-245j)
| (0.73478482150202601368 - 1.1701299362240812217e-884j)  +/-  (1.08e-252, 1.08e-252j)
| (6.8737926106055968715 - 5.1732399688358958214e-881j)  +/-  (1.03e-244, 1.03e-244j)
| (-4.7445231005132185035 - 8.9642159880124707304e-893j)  +/-  (7.87e-246, 7.87e-246j)
| (-0.73478482150202601368 + 4.1636524430249042486e-901j)  +/-  (9.54e-253, 9.54e-253j)
| (-1.9569394150418345994 + 1.6639416550247103879e-898j)  +/-  (1.19e-249, 1.19e-249j)
| (4.2421199371994731728 + 1.131076238792122799e-892j)  +/-  (2.64e-246, 2.64e-246j)
| (0.33396524074664243266 + 3.1193982099134911184e-902j)  +/-  (5.43e-254, 5.43e-254j)
| (-0.33396524074664243266 + 5.8249177896164360377e-902j)  +/-  (5.43e-254, 5.43e-254j)
-------------------------------------------------
The weights are:
| (3.9158587152402001205e-23 - 3.5865254502097827217e-667j)  +/-  (9.65e-88, 1.12e-209j)
| (3.6132488240271286216e-20 + 1.3255528600693586619e-667j)  +/-  (1.54e-87, 1.78e-209j)
| (3.6132488240271286216e-20 + 3.589009131193748298e-666j)  +/-  (1.25e-86, 1.45e-208j)
| (1.0800630268335076923e-26 + 4.2447662888656806724e-671j)  +/-  (8.52e-91, 9.87e-213j)
| (2.6387581082563099504e-31 + 1.9231579051611960709e-672j)  +/-  (8.68e-92, 1.01e-213j)
| (1.0800630268335076923e-26 - 1.1102683217488453286e-669j)  +/-  (9.91e-90, 1.15e-211j)
| (2.2286941233070799428e-15 + 5.5524331600383541431e-665j)  +/-  (1.42e-86, 1.64e-208j)
| (0.00089621792235750495541 - 8.5051529969220751166e-658j)  +/-  (4.58e-73, 5.31e-195j)
| (4.6008716716073751848e-10 - 5.8800977524062373931e-662j)  +/-  (2.44e-83, 2.83e-205j)
| (1.1621621440811011102e-08 + 4.0399404490424701972e-661j)  +/-  (4.09e-82, 4.73e-204j)
| (2.6387581082563099504e-31 - 1.549201056296547921e-673j)  +/-  (1.84e-94, 2.13e-216j)
| (0.00017109327545178923313 + 4.9851702820941986533e-658j)  +/-  (1.62e-78, 1.87e-200j)
| (0.00089621792235750495541 - 1.6725738252705029837e-657j)  +/-  (8.94e-77, 1.04e-198j)
| (0.0035213529032379859983 + 5.1678641907542780286e-657j)  +/-  (4.06e-75, 4.7e-197j)
| (2.4529111888444241283e-05 - 1.3660238921736467211e-658j)  +/-  (7e-81, 8.11e-203j)
| (0.0035213529032379859983 + 2.9093726199463287687e-657j)  +/-  (1.99e-76, 2.3e-198j)
| (2.6207393098748566905e-06 + 1.2185013220353956718e-659j)  +/-  (5.63e-83, 6.52e-205j)
| (2.1293037018447237992e-13 - 4.7951928281151908479e-663j)  +/-  (2.25e-90, 2.61e-212j)
| (1.2908284169552422717e-17 - 4.4142037410684209023e-665j)  +/-  (3.31e-92, 3.84e-214j)
| (2.1293037018447237992e-13 - 7.1123147715933262562e-664j)  +/-  (2.25e-90, 2.61e-212j)
| (0.023340379363890948352 + 2.1822357499790381106e-656j)  +/-  (2.93e-76, 3.39e-198j)
| (4.6008716716073751848e-10 - 2.5870028178313178038e-661j)  +/-  (3.22e-89, 3.73e-211j)
| (3.9158587152402001205e-23 - 3.3549769752123120155e-669j)  +/-  (1.57e-95, 1.82e-217j)
| (0.046900016461179660195 - 4.2608535793475143817e-656j)  +/-  (7.47e-76, 8.65e-198j)
| (0.046900016461179660195 - 5.8314030042596998389e-656j)  +/-  (6.34e-77, 7.35e-199j)
| (2.2286941233070799428e-15 + 5.0216444698120057044e-664j)  +/-  (1.13e-91, 1.31e-213j)
| (0.085386582028030155124 + 7.1820980450973724019e-656j)  +/-  (1.72e-75, 1.99e-197j)
| (0.00017109327545178923313 + 2.2734077072697982412e-658j)  +/-  (6.99e-84, 8.1e-206j)
| (0.010306662866693177038 - 1.4257833502404433068e-656j)  +/-  (1.46e-80, 1.69e-202j)
| (0.085386582028030155124 + 9.048528229571162999e-656j)  +/-  (7.52e-77, 8.71e-199j)
| (1.1621621440811011102e-08 + 1.501698171899211453e-660j)  +/-  (8.82e-89, 1.02e-210j)
| (0.010306662866693177038 - 8.8175543330504111525e-657j)  +/-  (1.38e-81, 1.6e-203j)
| (2.0569689012531468075e-07 - 7.6005227411656531566e-660j)  +/-  (4.06e-88, 4.7e-210j)
| (2.0569689012531468075e-07 - 2.375643174401926184e-660j)  +/-  (1.35e-88, 1.57e-210j)
| (0.12285802279960634144 - 2.554477011505886176e-655j)  +/-  (6.46e-81, 7.48e-203j)
| (1.2319974767068336586e-11 + 3.828551495733708769e-662j)  +/-  (8.56e-91, 9.92e-213j)
| (1.2908284169552422717e-17 - 3.2477021345100859142e-666j)  +/-  (4.85e-95, 5.62e-217j)
| (0.12720127902949840592 - 1.1905306184969005284e-655j)  +/-  (8.59e-83, 9.94e-205j)
| (1.2319974767068336586e-11 + 7.1647757687237117453e-663j)  +/-  (9.01e-92, 1.04e-213j)
| (2.6207393098748566905e-06 + 3.4024431567258837959e-659j)  +/-  (1.79e-88, 2.07e-210j)
| (0.12720127902949840592 - 1.3785749569531891849e-655j)  +/-  (4.54e-84, 5.21e-206j)
| (0.023340379363890948352 + 3.2390473063707264077e-656j)  +/-  (3.99e-85, 4.65e-207j)
| (2.4529111888444241283e-05 - 5.5447478321467668917e-659j)  +/-  (5.73e-88, 6.63e-210j)
| (0.1408200371075250033 + 1.9997409240697523239e-655j)  +/-  (3.01e-84, 3.54e-206j)
| (0.1408200371075250033 + 2.1373720910547738798e-655j)  +/-  (2.13e-84, 2.31e-206j)
