Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 19
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Trying to find an order 19 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
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Ending with final polynomial:
P : 1024*t^29 - 18595502592/100451*t^27 + 1423385422848/100451*t^25 - 669608021548800/1104961*t^23 + 1615608532641600/100451*t^21 - 307416628934059680/1104961*t^19 + 3542604170691428640/1104961*t^17 - 27327659507677337760/1104961*t^15 + 139876608509959362300/1104961*t^13 - 35733308032728365850/84997*t^11 + 6730776353380060800/7727*t^9 - 8162730657950978025/7727*t^7 + 20835501697003733775/30908*t^5 - 11506310395149016125/61816*t^3 + 873236905533034875/61816*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:
| (2.5327316742327897964 - 9.2635126887031001636e-283j)  +/-  (8.85e-122, 8.85e-122j)
| (-2.5327316742327897964 + 1.1085556241299630678e-290j)  +/-  (8.5e-122, 8.5e-122j)
| (-6.9262507138258265497 - 1.9469318547782325181e-293j)  +/-  (5.88e-123, 5.88e-123j)
| (5.7697321054539673635 - 1.4259657881463841315e-289j)  +/-  (6.75e-122, 6.75e-122j)
| (2.9686305452470247566 + 2.8860393460772501129e-295j)  +/-  (1.85e-121, 1.85e-121j)
| (5.0718746043184290856 + 7.6434313140169937303e-302j)  +/-  (1.92e-121, 1.92e-121j)
| (-5.0718746043184290856 + 8.4876777377072301079e-303j)  +/-  (2.17e-121, 2.17e-121j)
| (-4.4757893309389340147 + 7.9204285335886967233e-305j)  +/-  (3.7e-121, 3.7e-121j)
| (1.3951024418551909063 + 1.7111774058343955949e-310j)  +/-  (1.69e-123, 1.69e-123j)
| (3.9362430260233738726 - 2.3705842822584305836e-312j)  +/-  (4.22e-121, 4.22e-121j)
| (4.4757893309389340147 + 1.2171168973399078402e-313j)  +/-  (3.73e-121, 3.73e-121j)
| (-2.9686305452470247566 + 4.4671738245284752324e-315j)  +/-  (2.06e-121, 2.06e-121j)
| (3.4361591188377376033 - 2.6046514009879275769e-313j)  +/-  (3.8e-121, 3.8e-121j)
| (-5.7697321054539673635 - 1.9644129129151297196e-317j)  +/-  (6.42e-122, 6.42e-122j)
| (-2.1303284521094578803 - 3.1941968502612932417e-316j)  +/-  (3.38e-122, 3.38e-122j)
| (-0.34290132722370460879 - 1.8917481092398992159e-316j)  +/-  (2.9e-126, 2.9e-126j)
| (-3.9362430260233738726 + 1.727747563506839165e-320j)  +/-  (3.91e-121, 3.91e-121j)
| (6.9262507138258265497 - 8.5983419802226433678e-322j)  +/-  (5.88e-123, 5.88e-123j)
| (-1.0366108297895136542 + 1.8809079137176255937e-320j)  +/-  (2.62e-124, 2.62e-124j)
| (-3.4361591188377376033 - 3.3507377705439015237e-320j)  +/-  (3.56e-121, 3.56e-121j)
| (-1.7566836492998817735 - 2.7645443213046950379e-320j)  +/-  (9.5e-123, 9.5e-123j)
| (0.34290132722370460879 + 6.1541699569167913677e-327j)  +/-  (2.9e-126, 2.9e-126j)
| (1.7566836492998817735 + 4.02780479792616372e-336j)  +/-  (8.77e-123, 8.77e-123j)
| (-0.68602820950188331599 + 1.4544615784057531999e-341j)  +/-  (3.13e-125, 3.13e-125j)
| (2.2602638426037902553e-341 + 4.4506398752252007713e-341j)  +/-  (1.45e-339, 1.45e-339j)
| (-1.3951024418551909063 + 5.4919772553902535713e-346j)  +/-  (1.77e-123, 1.77e-123j)
| (1.0366108297895136542 + 1.6573689563962313271e-349j)  +/-  (2.79e-124, 2.79e-124j)
| (0.68602820950188331599 + 5.9263741675879749356e-365j)  +/-  (2.79e-125, 2.79e-125j)
| (2.1303284521094578803 + 5.410296584067600231e-382j)  +/-  (3.26e-122, 3.26e-122j)
-------------------------------------------------
The weights are:
| (0.00038738348673742631258 + 1.4346792899021207888e-285j)  +/-  (3.35e-32, 1.54e-92j)
| (0.00038738348673742631258 + 7.0843128606571531137e-287j)  +/-  (1.03e-32, 4.75e-93j)
| (2.9131094038728798915e-21 - 5.8459835522211982757e-297j)  +/-  (6.08e-45, 2.8e-105j)
| (1.543537861163443848e-15 - 1.1622493044441260427e-293j)  +/-  (5.64e-43, 2.6e-103j)
| (3.794767326192014468e-05 + 1.4002761795522518464e-286j)  +/-  (2.14e-35, 9.84e-96j)
| (2.4120638296787852578e-12 + 8.3746337024898549621e-292j)  +/-  (1.59e-41, 7.33e-102j)
| (2.4120638296787852578e-12 - 2.7962514431672024249e-292j)  +/-  (7.72e-43, 3.55e-103j)
| (6.3442343720041970399e-10 + 7.4779016274270202205e-291j)  +/-  (1.46e-41, 6.74e-102j)
| (0.029020482326216455552 - 1.1317360119817424198e-284j)  +/-  (4.76e-31, 2.19e-91j)
| (5.4554257583915369995e-08 + 5.5307887894345377748e-289j)  +/-  (5.58e-40, 2.57e-100j)
| (6.3442343720041970399e-10 - 2.6972453718596886903e-290j)  +/-  (2.95e-41, 1.36e-101j)
| (3.794767326192014468e-05 - 1.1095046823300682865e-287j)  +/-  (1.52e-39, 7e-100j)
| (2.0313075598872194266e-06 - 8.8186934694483809871e-288j)  +/-  (4.78e-39, 2.2e-99j)
| (1.543537861163443848e-15 + 4.5314276605580832702e-294j)  +/-  (7.23e-46, 3.33e-106j)
| (0.0023284117287841914983 - 3.4083102866621861288e-286j)  +/-  (3.08e-38, 1.42e-98j)
| (0.1716240142468976389 + 2.0274143944709651174e-284j)  +/-  (3.46e-36, 1.59e-96j)
| (5.4554257583915369995e-08 - 1.1999620963242200072e-289j)  +/-  (2.54e-42, 1.17e-102j)
| (2.9131094038728798915e-21 + 1.2586051427414248453e-296j)  +/-  (1.89e-49, 8.7e-110j)
| (0.068484813972903174336 + 7.2848832582294470943e-285j)  +/-  (5.59e-37, 2.57e-97j)
| (2.0313075598872194266e-06 + 1.334762080028814128e-288j)  +/-  (2.24e-41, 1.03e-101j)
| (0.0093973816013661811759 + 1.2063810043905241296e-285j)  +/-  (5.48e-39, 2.52e-99j)
| (0.1716240142468976389 + 2.6623522273497520779e-284j)  +/-  (1.04e-37, 4.78e-98j)
| (0.0093973816013661811759 + 6.6679750078827221975e-285j)  +/-  (6.6e-40, 3.02e-100j)
| (0.12182521895505218798 - 1.3427275610765304903e-284j)  +/-  (9.75e-38, 4.5e-98j)
| (0.19378451902025261678 - 2.5347742083333714395e-284j)  +/-  (1e-37, 4.64e-98j)
| (0.029020482326216455552 - 3.2778777851826933525e-285j)  +/-  (1.12e-38, 5.16e-99j)
| (0.068484813972903174336 + 1.7379774458092739953e-284j)  +/-  (1.4e-39, 6.51e-100j)
| (0.12182521895505218798 - 2.3403419284378871544e-284j)  +/-  (2.81e-39, 1.32e-99j)
| (0.0023284117287841914983 - 3.9495592317806960543e-285j)  +/-  (4.36e-41, 1.93e-101j)
