Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 12
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Trying to find an order 3 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 12 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^17 - 1927729267/18122395*t^15 + 76689404679/18122395*t^13 - 1451963624397/18122395*t^11 + 2765036333631/3624479*t^9 - 12957851045997/3624479*t^7 + 27641768331177/3624479*t^5 - 23638263740091/3624479*t^3 + 6464746886598/3624479*t
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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: 1
  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:   17 out of 17
Indefinite weights: 0 out of 17
Negative weights:   0 out of 17
Extension rule has valid weights: 1
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The nodes are:
| (-1.638713499982732431 - 7.707444170063158752e-447j)  +/-  (6.03e-125, 6.03e-125j)
| (-6.3696949628033208131 - 4.5310429363401599936e-446j)  +/-  (2.42e-124, 2.42e-124j)
| (1.051015114099521648e-447 - 1.16779457122169072e-447j)  +/-  (2.67e-446, 2.67e-446j)
| (2.4494897427831780982 - 2.04364049963795876e-447j)  +/-  (1.96e-124, 1.96e-124j)
| (-5.1972139741334507794 - 1.1659001748539995885e-454j)  +/-  (9.01e-124, 9.01e-124j)
| (3.3008613454059083377 + 3.4836977589358371566e-458j)  +/-  (5.54e-124, 5.54e-124j)
| (-4.2051618777898870634 + 4.6467005168732584025e-460j)  +/-  (9.37e-124, 9.37e-124j)
| (-0.72406087233068678388 + 1.2446519241624799292e-462j)  +/-  (6.79e-126, 6.79e-126j)
| (-3.3008613454059083377 + 6.74186458921343295e-463j)  +/-  (5.51e-124, 5.51e-124j)
| (1 - 3.241281052506458149e-465j)  +/-  (2.01e-125, 2.01e-125j)
| (0.72406087233068678388 - 7.7278162300740674711e-471j)  +/-  (6.26e-126, 6.26e-126j)
| (6.3696949628033208131 - 2.8788358830191446361e-478j)  +/-  (2.57e-124, 2.57e-124j)
| (-2.4494897427831780982 + 2.0591038820880493899e-486j)  +/-  (1.97e-124, 1.97e-124j)
| (-1 + 1.3727359213920329266e-486j)  +/-  (2.25e-125, 2.25e-125j)
| (1.638713499982732431 + 4.9092862178994402644e-493j)  +/-  (5.39e-125, 5.39e-125j)
| (5.1972139741334507794 + 1.6191433115230144737e-498j)  +/-  (8.18e-124, 8.18e-124j)
| (4.2051618777898870634 + 1.002434070760613677e-510j)  +/-  (9.13e-124, 9.13e-124j)
-------------------------------------------------
The weights are:
| (0.081821443149621417589 - 1.7091887295784654127e-447j)  +/-  (7.28e-44, 1.91e-105j)
| (8.2732450192341128344e-10 - 5.8756917169270891204e-454j)  +/-  (1.32e-53, 3.47e-115j)
| (0.30552711163474541442 + 1.9319075547945179436e-447j)  +/-  (7.38e-45, 1.93e-106j)
| (0.016504855393751059386 + 9.2393102788986263298e-449j)  +/-  (2.71e-48, 7.1e-110j)
| (5.7500881958745528062e-07 + 2.6603696438843748498e-452j)  +/-  (2.44e-52, 6.39e-114j)
| (0.0015014247278740649332 + 3.604711308112715184e-450j)  +/-  (8.83e-51, 2.32e-112j)
| (5.4211533037903399745e-05 - 5.6568239954151718684e-451j)  +/-  (2.11e-51, 5.54e-113j)
| (0.17538756252656273483 - 5.7641157901800031091e-447j)  +/-  (4.09e-46, 1.07e-107j)
| (0.0015014247278740649332 + 8.0619477992174660561e-450j)  +/-  (1.96e-50, 5.15e-112j)
| (0.071966371015636023274 + 1.5906366503836244037e-447j)  +/-  (1.25e-46, 3.29e-108j)
| (0.17538756252656273483 - 1.7602161176420555061e-447j)  +/-  (1.96e-46, 5.15e-108j)
| (8.2732450192341128344e-10 + 5.5208688058868621484e-455j)  +/-  (1.92e-56, 5.04e-118j)
| (0.016504855393751059386 - 1.1419892070816984969e-448j)  +/-  (4.22e-50, 1.11e-111j)
| (0.071966371015636023274 + 6.1162064658934006156e-447j)  +/-  (6.22e-48, 1.63e-109j)
| (0.081821443149621417589 - 3.9446112248149945815e-448j)  +/-  (6e-50, 1.57e-111j)
| (5.7500881958745528062e-07 + 1.0460035260707004895e-454j)  +/-  (2.8e-55, 7.36e-117j)
| (5.4211533037903399745e-05 - 9.0245914432371549365e-452j)  +/-  (5.11e-54, 1.34e-115j)
