Starting with polynomial:
P : 88179/256*t^11 - 230945/256*t^9 + 109395/128*t^7 - 45045/128*t^5 + 15015/256*t^3 - 693/256*t
Extension levels are: 11 12
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Trying to find an order 12 Kronrod extension for:
P1 : 88179/256*t^11 - 230945/256*t^9 + 109395/128*t^7 - 45045/128*t^5 + 15015/256*t^3 - 693/256*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 88179/256*t^23 - 12651587/6400*t^21 + 789222161/160000*t^19 - 2441459691671/348000000*t^17 + 2534636112998717/404550000000*t^15 - 135276693963330437/37083750000000*t^13 + 112286339079265435357/80657156250000000*t^11 - 4503009063482496203/13198443750000000*t^9 + 149818674831913373/2932987500000000*t^7 - 12461832089366933/2932987500000000*t^5 + 1435426957014869/8798962500000000*t^3 - 27152552055083/14664937500000000*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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.51909612920681181593 + 5.3874995326642962137e-259j)  +/-  (3.04e-123, 3.04e-123j)
| (-0.26954315595234497233 + 7.3667711695478164518e-261j)  +/-  (2.04e-125, 2.04e-125j)
| (-0.94167710857806794646 + 3.0044944066139292479e-256j)  +/-  (2.65e-120, 2.65e-120j)
| (0.63059952016196509217 + 2.787180777879141878e-258j)  +/-  (2.53e-122, 2.53e-122j)
| (0.88706259976809529908 - 6.223572033575152734e-255j)  +/-  (1.78e-120, 1.78e-120j)
| (-0.99636961388954263436 + 2.0301556940011938012e-266j)  +/-  (1.45e-120, 1.45e-120j)
| (-0.88706259976809529908 - 3.1340526132007914085e-266j)  +/-  (1.82e-120, 1.82e-120j)
| (-0.9782286581460569928 - 1.2095822131208256749e-266j)  +/-  (3.06e-120, 3.06e-120j)
| (0.81605745665622094239 - 1.0987994684558472164e-264j)  +/-  (6.32e-121, 6.32e-121j)
| (0.26954315595234497233 - 1.2070192441842138413e-273j)  +/-  (1.84e-125, 1.84e-125j)
| (-0.63059952016196509217 - 2.9843765559753241411e-277j)  +/-  (2.53e-122, 2.53e-122j)
| (-0.73015200557404932409 + 2.1349785496049944104e-276j)  +/-  (1.49e-121, 1.49e-121j)
| (-1.9454318881695631628e-275 - 4.8102304090961643473e-275j)  +/-  (1.19e-273, 1.19e-273j)
| (0.94167710857806794646 - 6.1996521004170796094e-279j)  +/-  (2.87e-120, 2.87e-120j)
| (0.51909612920681181593 - 1.1048017228462743864e-289j)  +/-  (3.14e-123, 3.14e-123j)
| (-0.39794414095237757368 - 1.4112115407740606296e-296j)  +/-  (2.59e-124, 2.59e-124j)
| (-0.81605745665622094239 - 5.2349706348960231079e-295j)  +/-  (5.5e-121, 5.5e-121j)
| (0.39794414095237757368 - 2.3302058119314377156e-292j)  +/-  (2.63e-124, 2.63e-124j)
| (0.1361130007993618158 + 1.1091763444821276119e-295j)  +/-  (8.52e-127, 8.52e-127j)
| (0.73015200557404932409 - 3.2531664935394601013e-299j)  +/-  (1.39e-121, 1.39e-121j)
| (-0.1361130007993618158 + 2.3455055872288201636e-315j)  +/-  (8.52e-127, 8.52e-127j)
| (0.99636961388954263436 - 6.2425448834630738853e-341j)  +/-  (1.39e-120, 1.39e-120j)
| (0.9782286581460569928 + 3.5507509946302550982e-366j)  +/-  (3.35e-120, 3.35e-120j)
-------------------------------------------------
The weights are:
| (0.11673950246104727081 + 4.3799221066813476067e-256j)  +/-  (1.46e-38, 1.13e-96j)
| (0.13128068422980564426 + 6.5657554966914475325e-256j)  +/-  (9.56e-39, 7.44e-97j)
| (0.045829378564426415985 - 1.0700155302790332084e-256j)  +/-  (2.48e-39, 1.93e-97j)
| (0.10587207448138939648 - 2.5744207208202145644e-255j)  +/-  (2.41e-40, 1.88e-98j)
| (0.063097424750374906585 + 8.3014213113653257353e-256j)  +/-  (9.25e-41, 7.2e-99j)
| (0.0097654410459607580225 - 8.6237396525581122856e-257j)  +/-  (5.77e-40, 4.49e-98j)
| (0.063097424750374906585 - 1.2236991138311691705e-256j)  +/-  (4.93e-40, 3.84e-98j)
| (0.027156554682104262052 + 3.3044725564873060813e-256j)  +/-  (9.1e-40, 7.08e-98j)
| (0.078664571932227329284 - 6.9481290022191126128e-255j)  +/-  (8.59e-42, 6.69e-100j)
| (0.13128068422980564426 + 1.3070602788404757419e-255j)  +/-  (1.69e-41, 1.32e-99j)
| (0.10587207448138939648 - 3.3589002008808085973e-256j)  +/-  (8.96e-41, 6.98e-99j)
| (0.092953098596900827769 + 2.3009940843959731935e-256j)  +/-  (6.62e-41, 5.15e-99j)
| (0.13657779471111830102 + 9.2325664078898669058e-256j)  +/-  (2.74e-42, 2.13e-100j)
| (0.045829378564426415985 + 5.2815305736613684698e-255j)  +/-  (1.17e-44, 9.07e-103j)
| (0.11673950246104727081 + 1.9680306626615384385e-255j)  +/-  (3.07e-43, 2.39e-101j)
| (0.12515879910031950506 - 5.4386425215934154659e-256j)  +/-  (6.68e-42, 5.2e-100j)
| (0.078664571932227329284 - 1.0214675833554134454e-256j)  +/-  (1.62e-41, 1.26e-99j)
| (0.12515879910031950506 - 1.581693353795018927e-255j)  +/-  (3.1e-43, 2.42e-101j)
| (0.13519357279988453318 - 1.0946381226310938706e-255j)  +/-  (3.43e-43, 2.67e-101j)
| (0.092953098596900827769 + 3.719107271817688746e-255j)  +/-  (2.9e-44, 2.26e-102j)
| (0.13519357279988453318 - 7.8068276562308587942e-256j)  +/-  (2.6e-43, 2.02e-101j)
| (0.0097654410459607580225 + 5.6306401481584951826e-256j)  +/-  (8.17e-47, 6.37e-105j)
| (0.027156554682104262052 - 1.9702321415399566542e-255j)  +/-  (2.42e-46, 1.88e-104j)
