Starting with polynomial:
P : t
Extension levels are: 1 4 6 12
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Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : t^5 - 10/9*t^3 + 5/21*t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P3 : t^11 - 319/117*t^9 + 15994/5915*t^7 - 219098/186745*t^5 + 23263/112047*t^3 - 383/37349*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 26344210519069911605394400164148831/4424903245210860863744756348342925*t^21 + 6219722870443781394948058496724130247/402666195314188338600772827699206175*t^19 - 30567257409937313125240661237286857030839/1334838437466534342461561923822868470125*t^17 + 5034943478580557286358992586385705908694/235559724258800178081452104204035612375*t^15 - 124767369874916774325656989203834035681182/9563724804907287230106955430683845862425*t^13 + 1791219898380616736134027534291456615630826/342087079560145273999979559635999102002125*t^11 - 1389920235509298951846597182689125316085146/1026261238680435821999938678907997306006375*t^9 + 857353392452625131178835238867255707468801/3991015928201694863333094862419989523358125*t^7 - 401342889142356130478333836165069520231/21116486392601560123455528372592537160625*t^5 + 4532086959759134845315673399566021327009/5815480352522469657999652513811984734036125*t^3 - 18374728048950775644657398002257504809/1938493450840823219333217504603994911345375*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:
| (0.95437314473850901745 + 5.8332894807033632952e-304j)  +/-  (7.45e-120, 7.45e-120j)
| (-0.95437314473850901745 + 1.4849113737072431083e-315j)  +/-  (6.98e-120, 6.98e-120j)
| (-0.9061798459386639928 + 4.2825054357667679047e-319j)  +/-  (3.41e-120, 3.41e-120j)
| (1.2980003749498996543e-324 + 7.5084760690550578757e-325j)  +/-  (3.45e-323, 3.45e-323j)
| (0.99754549758686732618 + 2.3873640535955845267e-335j)  +/-  (5.15e-120, 5.15e-120j)
| (0.65311997810491663606 - 6.4218199556263290862e-349j)  +/-  (3.42e-122, 3.42e-122j)
| (-0.99754549758686732618 + 1.2966911681460730594e-350j)  +/-  (5.07e-120, 5.07e-120j)
| (-0.83913703080552600731 + 6.6426073248635184316e-352j)  +/-  (1.01e-120, 1.01e-120j)
| (-0.9840853600948424645 - 3.6031164678128065942e-352j)  +/-  (1.04e-119, 1.04e-119j)
| (-0.27963041316178319341 - 2.6779513322762812616e-357j)  +/-  (1.84e-125, 1.84e-125j)
| (0.83913703080552600731 - 2.1494356863360684115e-349j)  +/-  (1.06e-120, 1.06e-120j)
| (0.53846931010568309104 + 1.1752814789052087622e-354j)  +/-  (4.18e-123, 4.18e-123j)
| (-0.53846931010568309104 - 6.1513238227207647013e-361j)  +/-  (3.63e-123, 3.63e-123j)
| (-0.65311997810491663606 + 4.2753068729541910544e-360j)  +/-  (3.29e-122, 3.29e-122j)
| (-0.14108304540169852469 - 8.8187161560757775554e-362j)  +/-  (9.04e-127, 9.04e-127j)
| (0.75416672657084922044 - 1.1869961457264531351e-356j)  +/-  (2.2e-121, 2.2e-121j)
| (0.27963041316178319341 - 6.5556394845028754449e-363j)  +/-  (1.84e-125, 1.84e-125j)
| (0.9840853600948424645 - 2.0645473810927862829e-367j)  +/-  (9.75e-120, 9.75e-120j)
| (-0.75416672657084922044 - 1.2942704140447043275e-383j)  +/-  (2.35e-121, 2.35e-121j)
| (-0.4130159172460903685 - 6.9926588349653187723e-387j)  +/-  (3.15e-124, 3.15e-124j)
| (0.14108304540169852469 - 2.8087576694616064082e-382j)  +/-  (1.02e-126, 1.02e-126j)
| (0.9061798459386639928 + 9.388907097522783131e-390j)  +/-  (3.26e-120, 3.26e-120j)
| (0.4130159172460903685 + 3.2916482878286273458e-407j)  +/-  (3.07e-124, 3.07e-124j)
-------------------------------------------------
The weights are:
| (0.038762093615661268628 + 9.241750612096079653e-305j)  +/-  (5.75e-41, 7.34e-98j)
| (0.038762093615661268628 - 1.1846022396444805718e-305j)  +/-  (2.65e-41, 3.38e-98j)
| (0.057677836246853514639 + 1.2435137172493575617e-305j)  +/-  (1.88e-41, 2.4e-98j)
| (0.1415024762815156672 + 2.3128870614127827583e-305j)  +/-  (1.5e-42, 1.92e-99j)
| (0.0067888161722128595953 + 1.699010122061375061e-304j)  +/-  (1.71e-42, 2.18e-99j)
| (0.10829771463353508625 - 7.0715497529364986578e-305j)  +/-  (2.08e-42, 2.65e-99j)
| (0.0067888161722128595953 - 3.7578546001086360612e-306j)  +/-  (2.26e-42, 2.89e-99j)
| (0.076248311290396817176 - 1.2523424919240473661e-305j)  +/-  (5.5e-43, 7.03e-100j)
| (0.021011712421961465073 + 9.4166725677611452048e-306j)  +/-  (4.1e-42, 5.24e-99j)
| (0.13641553072122802237 + 1.7600622325048995208e-305j)  +/-  (1.48e-44, 1.89e-101j)
| (0.076248311290396817176 - 1.9491190096246646518e-304j)  +/-  (3.29e-45, 4.21e-102j)
| (0.12053227648303325459 + 5.1050828134048644454e-305j)  +/-  (8.11e-45, 1.04e-101j)
| (0.12053227648303325459 + 1.4222689817707076454e-305j)  +/-  (1e-44, 1.28e-101j)
| (0.10829771463353508625 - 1.3252478195881596659e-305j)  +/-  (1.15e-44, 1.47e-101j)
| (0.14024257842068333053 - 2.0059788955233208496e-305j)  +/-  (4.13e-45, 5.29e-102j)
| (0.093378762792174359548 + 1.0852387915932251467e-304j)  +/-  (3.34e-46, 4.3e-103j)
| (0.13641553072122802237 + 3.2188906310539342505e-305j)  +/-  (1.5e-46, 1.91e-103j)
| (0.021011712421961465073 - 6.1435435911668525686e-304j)  +/-  (1.47e-46, 1.88e-103j)
| (0.093378762792174359548 + 1.271681012339020647e-305j)  +/-  (9.53e-46, 1.2e-102j)
| (0.129893129061502188 - 1.56653547548710113e-305j)  +/-  (3.96e-46, 5e-103j)
| (0.14024257842068333053 - 2.7019411648892782133e-305j)  +/-  (9.6e-47, 1.22e-103j)
| (0.057677836246853514639 + 4.8007155007431312703e-304j)  +/-  (3.29e-47, 4.54e-104j)
| (0.129893129061502188 - 3.9568391546661535176e-305j)  +/-  (3.82e-47, 4.64e-104j)
