Starting with polynomial:
P : t
Extension levels are: 1 14 26
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^41 - 22833095501/29775546*t^39 + 43032537434107/168728094*t^37 - 8304039802133725/168728094*t^35 + 3136019764574738405/506184282*t^33 - 45637553363092736045/84364047*t^31 + 318279662003627429105/9373783*t^29 - 132035441989742569212935/84364047*t^27 + 502649899038914541839925/9373783*t^25 - 12871348339250353573120500/9373783*t^23 + 246331087700946213718252500/9373783*t^21 - 184513901185836794154082500/493357*t^19 + 113717821502348292385406250/29021*t^17 - 863306759551137794893625625/29021*t^15 + 4640525842657720742454853125/29021*t^13 - 17091847151835262339835176875/29021*t^11 + 41155714014015301256623567500/29021*t^9 - 120914547492846549612221926875/58042*t^7 + 97380998467467210486349734375/58042*t^5 - 35895439572223163460743840625/58042*t^3 + 4080072969924076582065984375/58042*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:
| (7.0036302621398707253 - 4.7933344820725769856e-965j)  +/-  (3.78e-246, 3.78e-246j)
| (14.492303217264596992 + 4.2046101533115128785e-970j)  +/-  (2.33e-250, 2.33e-250j)
| (8.4210097671838107912 - 4.899628712958548499e-966j)  +/-  (1.09e-246, 1.09e-246j)
| (-8.4210097671838107912 - 2.2712819822310486674e-964j)  +/-  (1.02e-246, 1.02e-246j)
| (-14.492303217264596992 + 2.2885031259908528461e-975j)  +/-  (2.43e-250, 2.43e-250j)
| (5.7592781187404281106 - 2.4625256107881211722e-971j)  +/-  (3.39e-246, 3.39e-246j)
| (-4.6657324765974701615 - 1.6470396363758150386e-970j)  +/-  (1.87e-246, 1.87e-246j)
| (10.227632634055639888 - 3.182556051437887309e-979j)  +/-  (4.1e-248, 4.1e-248j)
| (-2.4324368270097580412 - 3.2898906626450279184e-980j)  +/-  (8.86e-249, 8.86e-249j)
| (3.750998247483833006 - 8.6029712567946348571e-979j)  +/-  (4.34e-247, 4.34e-247j)
| (-9.2423230324474626143 + 1.2518476774687111203e-976j)  +/-  (2.91e-247, 2.91e-247j)
| (-3.750998247483833006 - 8.7955593272695443355e-983j)  +/-  (4.02e-247, 4.02e-247j)
| (7.6846188701153963676 - 1.1258809146971617663e-984j)  +/-  (2.15e-246, 2.15e-246j)
| (-5.7592781187404281106 + 3.2937260189527049566e-997j)  +/-  (3.51e-246, 3.51e-246j)
| (-6.3639478888298383177 - 2.7282111454910019844e-1021j)  +/-  (4e-246, 4e-246j)
| (-7.6846188701153963676 + 4.43571205227370576e-1041j)  +/-  (2.31e-246, 2.31e-246j)
| (3.2890824243987663889 + 4.9274765585581959482e-1057j)  +/-  (1.21e-247, 1.21e-247j)
| (2.4324368270097580412 + 3.940660013488111535e-1059j)  +/-  (9.16e-249, 9.16e-249j)
| (-1.1631816463632660446 - 5.1765044852542959564e-1061j)  +/-  (1.3e-251, 1.3e-251j)
| (2.8329480072657446049 - 5.2919263960907117527e-1058j)  +/-  (3.22e-248, 3.22e-248j)
| (-7.0036302621398707253 + 1.8024677595259424629e-1055j)  +/-  (3.29e-246, 3.29e-246j)
| (-10.227632634055639888 - 3.5232964911627390729e-1061j)  +/-  (3.78e-248, 3.78e-248j)
| (1.6067100690287297365 - 1.1870742587059509331e-1062j)  +/-  (1.39e-250, 1.39e-250j)
| (5.1900935913047811995 - 1.3554945374907106325e-1057j)  +/-  (2.69e-246, 2.69e-246j)
| (-3.2890824243987663889 - 7.348014505059489588e-1059j)  +/-  (1.15e-247, 1.15e-247j)
| (4.6657324765974701615 - 4.2788689217313849079e-1066j)  +/-  (1.8e-246, 1.8e-246j)
| (2.0468258060877213907 + 2.4386329326373685119e-1071j)  +/-  (1.47e-249, 1.47e-249j)
| (-4.1962077112690156596 + 4.9824269560746522336e-1068j)  +/-  (9.81e-247, 9.81e-247j)
| (9.2423230324474626143 - 2.8965584033309621278e-1077j)  +/-  (3.11e-247, 3.11e-247j)
| (-0.79912906832454799942 - 7.8295813074548984808e-1086j)  +/-  (1.67e-252, 1.67e-252j)
| (-5.1900935913047811995 - 1.1630656714175337244e-1078j)  +/-  (2.84e-246, 2.84e-246j)
| (0.79912906832454799942 + 1.3064437067039526489e-1094j)  +/-  (1.67e-252, 1.67e-252j)
| (-2.8329480072657446049 - 1.4827567595521876142e-1087j)  +/-  (3.22e-248, 3.22e-248j)
| (4.1962077112690156596 + 2.1517033036106887863e-1088j)  +/-  (9.64e-247, 9.64e-247j)
| (6.3639478888298383177 + 3.4636116460692320687e-1092j)  +/-  (3.72e-246, 3.72e-246j)
| (-1.6067100690287297365 + 1.0970658584110730927e-1096j)  +/-  (1.55e-250, 1.55e-250j)
| (1.1631816463632660446 + 2.1759650746809937724e-1100j)  +/-  (1.21e-251, 1.21e-251j)
| (0.44119244061627560929 - 1.9804372146987165493e-1101j)  +/-  (1.59e-253, 1.59e-253j)
| (-2.0468258060877213907 + 1.7629991836894334254e-1097j)  +/-  (1.3e-249, 1.3e-249j)
| (1.1430901138475357305e-1109 - 1.9636988239846820753e-1109j)  +/-  (9.32e-1108, 9.32e-1108j)
| (-0.44119244061627560929 + 2.852118793977509167e-1102j)  +/-  (1.74e-253, 1.74e-253j)
-------------------------------------------------
The weights are:
| (5.8664114905320733933e-12 + 1.2580595418240385816e-975j)  +/-  (8.9e-90, 2.77e-212j)
| (2.9350125387100009123e-38 + 1.6483534451914355769e-991j)  +/-  (6.01e-103, 1.87e-225j)
| (1.2296696748945295241e-16 - 2.7143336595079947782e-979j)  +/-  (3.4e-93, 1.06e-215j)
| (1.2296696748945295241e-16 - 1.1315321111764138676e-979j)  +/-  (3.31e-95, 1.03e-217j)
| (2.9350125387100009123e-38 - 7.0411534307472912123e-992j)  +/-  (1.25e-104, 3.89e-227j)
| (1.4703220118752458905e-08 + 4.6133853446436343596e-974j)  +/-  (2.45e-88, 7.61e-211j)
| (3.7163325180161425298e-06 + 3.249614609979020168e-973j)  +/-  (8.35e-87, 2.6e-209j)
| (8.7249855283211443455e-24 - 1.0312595390847905131e-983j)  +/-  (1.39e-97, 4.32e-220j)
| (0.0077256099077887020058 - 3.8126575188260492979e-970j)  +/-  (4.89e-78, 1.52e-200j)
| (0.00015871415567607567992 + 3.4938808721170829073e-971j)  +/-  (9.57e-84, 2.98e-206j)
| (9.9414694681833692319e-20 - 9.3409206788010414776e-982j)  +/-  (3.33e-97, 1.04e-219j)
| (0.00015871415567607567992 + 8.9718295571676408908e-972j)  +/-  (1.23e-84, 3.81e-207j)
| (4.2278516466792169135e-14 + 1.889831485535480463e-977j)  +/-  (3.75e-93, 1.17e-215j)
| (1.4703220118752458905e-08 + 2.9692932723691880117e-975j)  +/-  (8.64e-91, 2.69e-213j)
| (3.9813773675999909214e-10 - 1.8074944332820593744e-976j)  +/-  (2.16e-92, 6.71e-215j)
| (4.2278516466792169135e-14 + 3.839936706031141945e-979j)  +/-  (3.48e-95, 1.08e-217j)
| (0.00083430121031282521109 - 1.1208068327597405878e-970j)  +/-  (1.26e-86, 3.92e-209j)
| (0.0077256099077887020058 - 8.6128167826318307772e-970j)  +/-  (2.01e-84, 6.25e-207j)
| (0.084325330553981677453 + 3.0209624744111511252e-969j)  +/-  (1.57e-78, 4.89e-201j)
| (0.0031361220700960534311 + 3.5301760109432664547e-970j)  +/-  (1.17e-85, 3.64e-208j)
| (5.8664114905320733933e-12 + 5.7858978723973469103e-978j)  +/-  (1.23e-94, 3.82e-217j)
| (8.7249855283211443455e-24 + 3.2134034126768128599e-984j)  +/-  (1.8e-101, 5.59e-224j)
| (0.049927722664659347159 - 2.4106106294994760733e-969j)  +/-  (2.57e-83, 8.01e-206j)
| (3.0995285353899686326e-07 - 3.2809176445208058733e-973j)  +/-  (5.57e-93, 1.73e-215j)
| (0.00083430121031282521109 - 3.5378705310012399437e-971j)  +/-  (1.96e-89, 6.09e-212j)
| (3.7163325180161425298e-06 + 2.0785010662446098041e-972j)  +/-  (4.38e-92, 1.36e-214j)
| (0.020337975192543666895 + 1.4983554263932399277e-969j)  +/-  (4.16e-86, 1.29e-208j)
| (2.6800943802052920538e-05 - 2.0249374721116408289e-972j)  +/-  (2.21e-91, 6.89e-214j)
| (9.9414694681833692319e-20 + 2.8259537675034567112e-981j)  +/-  (1.41e-101, 4.38e-224j)
| (0.094398097434344090804 - 5.0028277944746518088e-969j)  +/-  (1.21e-86, 3.76e-209j)
| (3.0995285353899686326e-07 - 3.6016571590899660055e-974j)  +/-  (3.07e-93, 9.55e-216j)
| (0.094398097434344090804 - 6.4639303625949905678e-969j)  +/-  (4.94e-88, 1.53e-210j)
| (0.0031361220700960534311 + 1.3419362295156551744e-970j)  +/-  (5.82e-90, 1.81e-212j)
| (2.6800943802052920538e-05 - 9.8605291172951938444e-972j)  +/-  (4.74e-92, 1.47e-214j)
| (3.9813773675999909214e-10 - 7.0687911062544455342e-975j)  +/-  (4.33e-96, 1.34e-218j)
| (0.049927722664659347159 - 1.4284531211957789784e-969j)  +/-  (8.15e-90, 2.53e-212j)
| (0.084325330553981677453 + 4.3958583042140963281e-969j)  +/-  (4.61e-89, 1.41e-211j)
| (0.14811167997947719828 + 6.3550082695698160121e-969j)  +/-  (4.11e-89, 1.25e-211j)
| (0.020337975192543666895 + 7.6243120291670346244e-970j)  +/-  (1.94e-90, 6.13e-213j)
| (0.18202720898936017287 - 5.377516278755230568e-969j)  +/-  (1.49e-89, 4.58e-212j)
| (0.14811167997947719828 + 5.5194104414696566459e-969j)  +/-  (1.22e-89, 3.48e-212j)
