Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 14
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Trying to find an order 14 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
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Ending with final polynomial:
P : 231/16*t^20 - 264345610739/3590901680*t^18 + 4890539045511/30612436822*t^16 - 22022509047849/114549763592*t^14 + 186516235143784/1331641001757*t^12 - 10215124913175/161411030516*t^10 + 3238994808498267/185622685093400*t^8 - 102871692107457/37124537018680*t^6 + 16645537944399/74249074037360*t^4 - 524382152749/74249074037360*t^2 + 821560883/22274722211208
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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
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The nodes are:
| (-0.99733385180278742135 - 3.6761301307951195266e-425j)  +/-  (2.07e-121, 2.07e-121j)
| (-0.080232662089308817649 + 9.5499196369478287425e-438j)  +/-  (2.09e-127, 2.09e-127j)
| (-0.93246951420315202781 + 2.4197151948828780848e-440j)  +/-  (2.94e-121, 2.94e-121j)
| (0.99733385180278742135 + 2.5164754181264941674e-446j)  +/-  (2.07e-121, 2.07e-121j)
| (0.93246951420315202781 - 7.0356855103894752779e-452j)  +/-  (2.91e-121, 2.91e-121j)
| (0.77239979137307865819 - 1.3238799204450782058e-453j)  +/-  (3.99e-122, 3.99e-122j)
| (0.97723820629620631225 + 7.5785312692156057148e-453j)  +/-  (4.26e-121, 4.26e-121j)
| (-0.86360683867471434432 + 6.9523867283073224528e-453j)  +/-  (1.22e-121, 1.22e-121j)
| (-0.53291253805075079124 + 1.4481914091356754752e-459j)  +/-  (8.08e-124, 8.08e-124j)
| (0.39082501957322900088 + 2.2134449005082402183e-459j)  +/-  (7.87e-125, 7.87e-125j)
| (0.86360683867471434432 - 1.4530814893435788122e-461j)  +/-  (1.34e-121, 1.34e-121j)
| (0.23861918608319690863 + 5.5852791802860322648e-468j)  +/-  (3.16e-126, 3.16e-126j)
| (-0.97723820629620631225 + 6.2100538359683445472e-477j)  +/-  (4.03e-121, 4.03e-121j)
| (-0.77239979137307865819 + 1.4755738162844023855e-485j)  +/-  (3.76e-122, 3.76e-122j)
| (0.080232662089308817649 - 9.406356036369257528e-489j)  +/-  (2.02e-127, 2.02e-127j)
| (0.66120938646626451366 + 2.4286173462798958996e-487j)  +/-  (7.6e-123, 7.6e-123j)
| (0.53291253805075079124 - 1.0244207550890762e-488j)  +/-  (7.79e-124, 7.79e-124j)
| (-0.39082501957322900088 - 3.682414681327887647e-489j)  +/-  (6.65e-125, 6.65e-125j)
| (-0.66120938646626451366 + 4.9861855840470057155e-491j)  +/-  (7.2e-123, 7.2e-123j)
| (-0.23861918608319690863 - 1.2507363906886222592e-497j)  +/-  (3.16e-126, 3.16e-126j)
-------------------------------------------------
The weights are:
| (0.0086843407178961807042 - 2.9572000646946103575e-425j)  +/-  (4.97e-45, 2.93e-103j)
| (0.16011792170015548542 + 2.1103646399796030279e-426j)  +/-  (2.86e-45, 1.69e-103j)
| (0.057048833651932995559 - 1.7422111649035593758e-425j)  +/-  (6.33e-46, 3.73e-104j)
| (0.0086843407178961807042 + 1.6005055138501663205e-427j)  +/-  (6.27e-46, 3.7e-104j)
| (0.057048833651932995559 + 5.8559009255032831647e-427j)  +/-  (2.91e-46, 1.72e-104j)
| (0.1016377677968770281 + 8.6571694231611496035e-427j)  +/-  (8.86e-47, 5.23e-105j)
| (0.032336242776692619715 - 4.155979020215241377e-427j)  +/-  (3.83e-46, 2.26e-104j)
| (0.080381481839761774201 + 1.0138122849600254786e-425j)  +/-  (3.71e-47, 2.19e-105j)
| (0.13577740690923308263 - 3.8306658271191305271e-426j)  +/-  (6.91e-48, 4.08e-106j)
| (0.14778405087101240914 - 1.3384323822349086923e-426j)  +/-  (8.14e-48, 4.8e-106j)
| (0.080381481839761774201 - 7.2852450072276910193e-427j)  +/-  (2.87e-47, 1.69e-105j)
| (0.15596965681466642711 + 1.5451682730873059905e-426j)  +/-  (6.22e-48, 3.67e-106j)
| (0.032336242776692619715 + 4.0836110711959677256e-425j)  +/-  (2.99e-48, 1.77e-106j)
| (0.1016377677968770281 - 6.8112779156451314579e-426j)  +/-  (1.23e-48, 7.28e-107j)
| (0.16011792170015548542 - 1.79610065560985354e-426j)  +/-  (1.2e-48, 7.06e-107j)
| (0.12026229692177199742 - 1.0077316475309374132e-426j)  +/-  (9.13e-49, 5.37e-107j)
| (0.13577740690923308263 + 1.1625858866760164228e-426j)  +/-  (6.61e-49, 3.87e-107j)
| (0.14778405087101240914 + 3.0633631142669174623e-426j)  +/-  (5.99e-50, 3.61e-108j)
| (0.12026229692177199742 + 4.9724631270892519815e-426j)  +/-  (5.06e-50, 3.3e-108j)
| (0.15596965681466642711 - 2.517093062044534633e-426j)  +/-  (5.95e-50, 3.34e-108j)
