Starting with polynomial:
P : t
Extension levels are: 1 8 20
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Trying to find an order 8 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P2 : t^9 - 36/17*t^7 + 126/85*t^5 - 84/221*t^3 + 63/2431*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^29 - 682558414238608172389654/92781458854220952288753*t^27 + 1235076984455913464764835637/50875166605064488838332895*t^25 - 6274778110955366419364978340/132275433173167670979665527*t^23 + 5145785769977353334935412568255/84328464200789459111949374887*t^21 - 26839559022558799556900199313530/493923861747481117655703481481*t^19 + 12953315844422793876085017022935/377706482512779678207302662309*t^17 - 5832092077666940743315564855656/377706482512779678207302662309*t^15 + 3328059174455070175195070505/675682437411054880513958251*t^13 - 90280562857112164099640217012570/82775828359916100247123483455257*t^11 + 37685181462928676423105395620205/233277334468854464332802544282997*t^9 - 3511154651762916540599658311340/233277334468854464332802544282997*t^7 + 26503562133569432426375784753/33325333495550637761828934897571*t^5 - 655265193818211709262899170/33325333495550637761828934897571*t^3 + 110954755072281635287194645/766482670397664668522065502644133*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:
| (-0.99874939939845948826 + 3.9303183639960912382e-437j)  +/-  (4.34e-118, 4.34e-118j)
| (-0.96816023950762608984 + 1.6956100719326283166e-448j)  +/-  (8.02e-118, 8.02e-118j)
| (-0.93528267313613789016 + 4.5769307234963811484e-456j)  +/-  (5e-118, 5e-118j)
| (-5.8325859849205666615e-473 + 2.5384820561461466385e-473j)  +/-  (1.84e-471, 1.84e-471j)
| (0.93528267313613789016 + 4.9376876156737403775e-456j)  +/-  (4.77e-118, 4.77e-118j)
| (0.8360311073266357943 + 5.6173614739656124736e-461j)  +/-  (8.23e-119, 8.23e-119j)
| (0.96816023950762608984 + 3.5765718384930916447e-459j)  +/-  (7.97e-118, 7.97e-118j)
| (-0.89106070327153853911 + 2.8870891223911222166e-463j)  +/-  (2.21e-118, 2.21e-118j)
| (-0.9893104741025880951 + 9.7821710993332981513e-475j)  +/-  (9.39e-118, 9.39e-118j)
| (0.9893104741025880951 - 2.7039571286652102897e-482j)  +/-  (8.93e-118, 8.93e-118j)
| (0.89106070327153853911 + 7.3336090509988328966e-490j)  +/-  (2.44e-118, 2.44e-118j)
| (0.99874939939845948826 - 3.156588660779509977e-490j)  +/-  (4.14e-118, 4.14e-118j)
| (-0.69634140091401723631 - 3.4467262374371638248e-492j)  +/-  (4.09e-120, 4.09e-120j)
| (-0.8360311073266357943 - 2.3655048743102892995e-493j)  +/-  (7.63e-119, 7.63e-119j)
| (-0.21837950090393174651 + 1.1174005254576719334e-502j)  +/-  (1.87e-125, 1.87e-125j)
| (0.77086171618925914188 - 2.5477686989076563193e-499j)  +/-  (2.03e-119, 2.03e-119j)
| (0.52295614125519930936 - 1.747230835743908568e-502j)  +/-  (6.53e-122, 6.53e-122j)
| (0.10985598975654047154 + 4.0627352717631248856e-507j)  +/-  (9.26e-127, 9.26e-127j)
| (-0.77086171618925914188 + 1.0519337105395338559e-500j)  +/-  (2.03e-119, 2.03e-119j)
| (-0.42619181381656958998 + 2.7028901042155628334e-507j)  +/-  (4.94e-123, 4.94e-123j)
| (0.42619181381656958998 + 1.4543476227798394863e-507j)  +/-  (5.01e-123, 5.01e-123j)
| (0.69634140091401723631 - 3.3791883974478831727e-506j)  +/-  (4.24e-120, 4.24e-120j)
| (-0.10985598975654047154 - 5.6563594201345490057e-512j)  +/-  (9.26e-127, 9.26e-127j)
| (-0.52295614125519930936 + 3.0299981180426787446e-505j)  +/-  (6.41e-122, 6.41e-122j)
| (-0.61337143270059039731 - 8.5769445776895404227e-508j)  +/-  (5.66e-121, 5.66e-121j)
| (0.21837950090393174651 - 1.1436921496046828889e-512j)  +/-  (1.85e-125, 1.85e-125j)
| (0.61337143270059039731 + 2.7024647495786666237e-510j)  +/-  (6e-121, 6e-121j)
| (0.32425342340380892904 - 2.4074666561346640336e-513j)  +/-  (3.55e-124, 3.55e-124j)
| (-0.32425342340380892904 + 2.6767487337020163753e-512j)  +/-  (3.42e-124, 3.42e-124j)
-------------------------------------------------
The weights are:
| (0.0040729213825398200643 + 3.1626585919278329806e-437j)  +/-  (3.21e-27, 2.31e-83j)
| (0.027062331453044251315 + 1.8634357970616629691e-437j)  +/-  (1.8e-27, 1.3e-83j)
| (0.03862765854662729088 - 1.0844340457478811668e-437j)  +/-  (1.01e-27, 7.26e-84j)
| (0.11007857798305850765 + 1.1785215790846105924e-438j)  +/-  (8.08e-29, 5.82e-85j)
| (0.03862765854662729088 - 3.5586523981641425105e-439j)  +/-  (2e-29, 1.44e-85j)
| (0.060221175094138147659 - 4.7208627417582303036e-439j)  +/-  (1.02e-29, 7.36e-86j)
| (0.027062331453044251315 + 2.8979946213889529122e-439j)  +/-  (7.91e-30, 5.7e-86j)
| (0.049726556814363713994 + 7.2875247070274499425e-438j)  +/-  (3.27e-29, 2.35e-85j)
| (0.01521482753358519501 - 4.3674332801483321121e-437j)  +/-  (2.39e-28, 1.72e-84j)
| (0.01521482753358519501 - 2.0735731864006204365e-439j)  +/-  (1.54e-30, 1.11e-86j)
| (0.049726556814363713994 + 4.1527137175387693167e-439j)  +/-  (4.4e-31, 3.16e-87j)
| (0.0040729213825398200643 + 8.0139611171135219615e-440j)  +/-  (6.85e-31, 4.93e-87j)
| (0.078904277009866494592 - 3.2887243692512168291e-438j)  +/-  (3.59e-33, 2.58e-89j)
| (0.060221175094138147659 - 5.3231550203922141515e-438j)  +/-  (3.43e-32, 2.47e-88j)
| (0.10741617394295284207 + 1.4897416487674787479e-438j)  +/-  (2.55e-34, 1.84e-90j)
| (0.069985988544315305067 + 5.2865960793325532167e-439j)  +/-  (1.71e-33, 1.23e-89j)
| (0.093779559162353593363 - 7.1336345381843673031e-439j)  +/-  (5.41e-35, 3.89e-91j)
| (0.10941106682549089847 - 1.0584706140672209301e-438j)  +/-  (4.05e-35, 2.91e-91j)
| (0.069985988544315305067 + 4.1051885972405194825e-438j)  +/-  (4.56e-34, 3.28e-90j)
| (0.099553012552240332368 + 1.9539849175859014633e-438j)  +/-  (1.13e-35, 8.11e-92j)
| (0.099553012552240332368 + 7.8513336290686302724e-439j)  +/-  (4.96e-36, 3.57e-92j)
| (0.078904277009866494592 - 5.8671579946524481095e-439j)  +/-  (2.22e-35, 1.59e-91j)
| (0.10941106682549089847 - 1.3200977915787380673e-438j)  +/-  (6.38e-36, 4.59e-92j)
| (0.093779559162353593363 - 2.2815142955407674834e-438j)  +/-  (2.28e-36, 1.64e-92j)
| (0.086868087156534122334 + 2.7097885398042320312e-438j)  +/-  (3.28e-36, 2.37e-92j)
| (0.10741617394295284207 + 9.5515728773080324842e-439j)  +/-  (1.74e-37, 1.26e-93j)
| (0.086868087156534122334 + 6.4777576026399137293e-439j)  +/-  (1.33e-37, 9.56e-94j)
| (0.10411707499041873899 - 8.6497851828187364686e-439j)  +/-  (9.71e-38, 7.04e-94j)
| (0.10411707499041873899 - 1.6966283893138274051e-438j)  +/-  (7.94e-38, 5.36e-94j)
