Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 16
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^18 - 28360558/100079*t^16 + 782908260/100079*t^14 - 1549166190/14297*t^12 + 23133513975/28594*t^10 - 186352072335/57188*t^8 + 383839210755/57188*t^6 - 713264827275/114376*t^4 + 1812051180225/915008*t^2 - 164923097625/1830016
-------------------------------------------------
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
Positive weights:   18 out of 18
Indefinite weights: 0 out of 18
Negative weights:   0 out of 18
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (1.2005419884193856979 - 8.8154302203309527302e-379j)  +/-  (4.63e-125, 4.63e-125j)
| (4.9120223925306468653 - 1.2140106760570054903e-376j)  +/-  (4.56e-124, 4.56e-124j)
| (4.1101639778540442513 + 5.9441186628517281266e-377j)  +/-  (1.69e-123, 1.69e-123j)
| (-0.23290969013193950963 - 4.8358931494386940691e-376j)  +/-  (5.59e-127, 5.59e-127j)
| (-0.7071067811865475244 + 2.8007881157165769817e-377j)  +/-  (5.88e-126, 5.88e-126j)
| (2.2563876067324779362 - 2.6564354458586576307e-380j)  +/-  (8.23e-124, 8.23e-124j)
| (3.4359539831912874159 - 7.7906733521542275122e-380j)  +/-  (2.19e-123, 2.19e-123j)
| (0.7071067811865475244 - 3.3057863326241072738e-380j)  +/-  (5.88e-126, 5.88e-126j)
| (2.8258907571642598229 - 3.06965873743667104e-379j)  +/-  (1.68e-123, 1.68e-123j)
| (1.7163169391006618115 - 5.5686757865037045148e-380j)  +/-  (2.43e-124, 2.43e-124j)
| (0.23290969013193950963 - 3.6678486452448428324e-379j)  +/-  (5.59e-127, 5.59e-127j)
| (-2.8258907571642598229 - 2.4249272095697551189e-395j)  +/-  (1.74e-123, 1.74e-123j)
| (-3.4359539831912874159 + 1.9784179766976807112e-425j)  +/-  (2.32e-123, 2.32e-123j)
| (-4.9120223925306468653 + 1.0837133620937289882e-444j)  +/-  (4.6e-124, 4.6e-124j)
| (-1.2005419884193856979 + 5.5462045332756231171e-452j)  +/-  (4.62e-125, 4.62e-125j)
| (-1.7163169391006618115 + 6.3477248132286476391e-461j)  +/-  (2.37e-124, 2.37e-124j)
| (-4.1101639778540442513 + 1.2851123381797461655e-476j)  +/-  (1.75e-123, 1.75e-123j)
| (-2.2563876067324779362 - 3.6717369838039563644e-492j)  +/-  (8.23e-124, 8.23e-124j)
-------------------------------------------------
The weights are:
| (0.0673355827124614373 + 3.3980210715388199581e-377j)  +/-  (3.38e-38, 1.74e-99j)
| (1.72214445944481094e-11 + 5.287875496755837766e-383j)  +/-  (6.52e-49, 3.35e-110j)
| (1.8727421979020835963e-08 - 2.439010499868978793e-381j)  +/-  (1.02e-47, 5.27e-109j)
| (0.24975643230975624828 - 5.8064079324017281214e-377j)  +/-  (7.62e-40, 3.92e-101j)
| (0.16523096108051872753 - 1.7991883972417132205e-376j)  +/-  (5.72e-40, 2.94e-101j)
| (0.0019206936621720588891 + 2.2428831428878407141e-378j)  +/-  (1.67e-44, 8.59e-106j)
| (2.679488778610388937e-06 + 4.043459421365016717e-380j)  +/-  (5.04e-47, 2.59e-108j)
| (0.16523096108051872753 - 9.6581191004245054331e-377j)  +/-  (4.37e-42, 2.25e-103j)
| (0.0001127480759804506996 - 3.7080151756693269786e-379j)  +/-  (5.4e-46, 2.78e-107j)
| (0.015640883925689043301 - 9.848798728907797669e-378j)  +/-  (2.27e-44, 1.17e-105j)
| (0.24975643230975624828 + 2.6624392558476346615e-376j)  +/-  (1.86e-43, 9.57e-105j)
| (0.0001127480759804506996 - 4.4606580056721408583e-379j)  +/-  (1.23e-49, 6.34e-111j)
| (2.679488778610388937e-06 + 4.701035752585612336e-380j)  +/-  (5.09e-51, 2.61e-112j)
| (1.72214445944481094e-11 + 5.879189366024401474e-383j)  +/-  (5.32e-54, 2.73e-115j)
| (0.0673355827124614373 + 5.3287789142280466273e-377j)  +/-  (1.79e-47, 9.15e-109j)
| (0.015640883925689043301 - 1.3437691986451096691e-377j)  +/-  (7.32e-49, 3.73e-110j)
| (1.8727421979020835963e-08 - 2.7617240367840342083e-381j)  +/-  (9.32e-53, 4.81e-114j)
| (0.0019206936621720588891 + 2.8303036127552449379e-378j)  +/-  (7.7e-50, 3.9e-111j)
