Starting with polynomial:
P : -t+1
Extension levels are: 1 3 11
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Trying to find an order 3 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Trying to find an order 11 Kronrod extension for:
P2 : -t^4 + 49/4*t^3 - 153/4*t^2 + 57/2*t - 3/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^15 + 163111243762984260650095806319/816045166910938135368856436*t^14 - 28169723743100912838661871504315/1632090333821876270737712872*t^13 + 693814817513346783367850876918897/816045166910938135368856436*t^12 - 173523709143188623747354870636331241/6528361335287505082950851488*t^11 + 3625062359660182574238185838767806401/6528361335287505082950851488*t^10 - 25955399958855411984164693358639849705/3264180667643752541475425744*t^9 + 257204407489289723047193012158935703875/3264180667643752541475425744*t^8 - 109924300827410557602806160783730216515/204011291727734533842214109*t^7 + 511074209855304708248800356203284919415/204011291727734533842214109*t^6 - 1569176902381262254587018572910487358490/204011291727734533842214109*t^5 + 3028868881015496263227514058925480902550/204011291727734533842214109*t^4 - 199364666937833042954482314830918035500/12000664219278501990718477*t^3 + 1913507777144932915550238756381801825900/204011291727734533842214109*t^2 - 417886977237138246119837033614563905400/204011291727734533842214109*t + 18175556846695390908815771772380807400/204011291727734533842214109
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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:
| (46.129802674030471837 - 8.2607775984656422186e-319j)  +/-  (1.53e-121, 1.53e-121j)
| (22.370563868724085959 + 8.3382470917335496768e-319j)  +/-  (4.66e-120, 4.66e-120j)
| (28.15204007831022946 - 5.2470350571519103202e-326j)  +/-  (2.54e-120, 2.54e-120j)
| (35.507968851291296602 + 3.1398337344541780362e-332j)  +/-  (9.62e-121, 9.62e-121j)
| (7.8232631436879996743 - 5.495033682334640515e-341j)  +/-  (1.77e-120, 1.77e-120j)
| (2.0025004628085090193 - 1.3730859828294428947e-349j)  +/-  (1.78e-123, 1.78e-123j)
| (17.637905451355608857 - 3.2543524032964779088e-358j)  +/-  (5.06e-120, 5.06e-120j)
| (10.437087151573934559 + 1.0591552109460497289e-367j)  +/-  (2.54e-120, 2.54e-120j)
| (0.056897625001077184683 + 1.2634794072487733813e-378j)  +/-  (2e-127, 2e-127j)
| (0.3598244120811855665 - 2.2007091871469056994e-377j)  +/-  (7.26e-126, 7.26e-126j)
| (1 + 1.6077140864328575042e-377j)  +/-  (1.42e-124, 1.42e-124j)
| (3.369839231310923141 - 8.0795873091976380731e-385j)  +/-  (2.63e-122, 2.63e-122j)
| (6.3030411445357825781 + 1.2257739371196227604e-404j)  +/-  (1.1e-120, 1.1e-120j)
| (13.704227657679824159 + 6.568716068199626526e-419j)  +/-  (4.08e-120, 4.08e-120j)
| (5.025204660978640412 - 5.9743087617565044668e-433j)  +/-  (2.88e-121, 2.88e-121j)
-------------------------------------------------
The weights are:
| (1.3098094193716905611e-19 - 3.0345012254254218516e-334j)  +/-  (2.5e-56, 2.73e-115j)
| (1.0016195266444790513e-09 - 4.5659849275294786649e-328j)  +/-  (1.98e-52, 2.17e-111j)
| (3.8254203898148351128e-12 - 7.2365904372284172914e-330j)  +/-  (8.47e-54, 9.28e-113j)
| (3.2186105976566456087e-15 + 8.0815255599308947257e-332j)  +/-  (3.28e-55, 3.59e-114j)
| (0.00088236485545350596665 - 4.0471537238498397039e-325j)  +/-  (1.72e-49, 1.88e-108j)
| (0.16015464936332789843 - 1.480642614176129952e-324j)  +/-  (6.57e-45, 7.19e-104j)
| (9.4141848920605150654e-08 + 2.2609982510158348113e-327j)  +/-  (1.78e-52, 1.95e-111j)
| (8.666370833229930738e-05 + 6.6473957103846753225e-326j)  +/-  (6.57e-51, 7.19e-110j)
| (0.14771577353545568036 + 4.8103626131504215534e-325j)  +/-  (2.68e-45, 2.93e-104j)
| (0.32392311688408161368 - 1.2164872974912077761e-324j)  +/-  (2.08e-45, 2.27e-104j)
| (0.30146011684940987126 + 1.5095816608940314452e-324j)  +/-  (5.51e-46, 6.02e-105j)
| (0.053030825299483065395 + 1.3569986406341458135e-324j)  +/-  (2.23e-48, 2.44e-107j)
| (0.0017744459822095231403 + 1.1067905957524153039e-324j)  +/-  (7.82e-50, 8.56e-109j)
| (4.0076028328828329367e-06 - 1.1657752550393923216e-326j)  +/-  (2.27e-52, 2.49e-111j)
| (0.010967940772116573246 - 1.4091753227763969848e-324j)  +/-  (1.28e-49, 1.4e-108j)
