Starting with polynomial:
P : 2*t
Extension levels are: 1 2 10
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^13 - 629/8*t^11 + 17435/16*t^9 - 105435/16*t^7 + 557865/32*t^5 - 2248785/128*t^3 + 1133055/256*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: 1
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (2.5296025834934300893 + 1.1966216816603876839e-138j)  +/-  (4.52e-61, 4.52e-61j)
| (-3.2595330824338197843 + 2.225296460631598149e-138j)  +/-  (4.51e-61, 4.51e-61j)
| (-0.60808265691331281929 - 7.6879990855031075498e-143j)  +/-  (8.56e-63, 8.56e-63j)
| (-4.1180864274630133413 - 1.5215831523391567026e-144j)  +/-  (2.26e-61, 2.26e-61j)
| (4.1180864274630133413 + 1.0811248713988744992e-144j)  +/-  (1.99e-61, 1.99e-61j)
| (1.8602834494799461889 - 1.2012498571098605547e-145j)  +/-  (1.87e-61, 1.87e-61j)
| (3.2595330824338197843 + 1.6035432572080444498e-153j)  +/-  (5.84e-61, 5.84e-61j)
| (-1.2247448713915890491 + 2.2641777826932291477e-172j)  +/-  (3.47e-62, 3.47e-62j)
| (-1.8602834494799461889 + 7.4694057098239644839e-187j)  +/-  (1.88e-61, 1.88e-61j)
| (-4.9315710352689068394e-193 - 4.9315710352689068394e-193j)  +/-  (9.07e-192, 9.07e-192j)
| (1.2247448713915890491 + 2.5685265808692223122e-194j)  +/-  (3.47e-62, 3.47e-62j)
| (0.60808265691331281929 + 2.9966143443474260309e-194j)  +/-  (8.56e-63, 8.56e-63j)
| (-2.5296025834934300893 + 5.1370531617384446244e-195j)  +/-  (4.52e-61, 4.52e-61j)
-------------------------------------------------
The weights are:
| (0.0006507906129236193071 - 1.9860740146794336023e-141j)  +/-  (7.77e-23, 2.1e-53j)
| (1.0642724627824776593e-05 + 9.4122642508128196083e-143j)  +/-  (1.45e-24, 3.93e-55j)
| (0.23811340498788531565 + 5.9161147052407093974e-141j)  +/-  (1.08e-22, 2.92e-53j)
| (2.3835127375884542301e-08 + 5.9818090143755690687e-145j)  +/-  (8.67e-26, 2.35e-56j)
| (2.3835127375884542301e-08 + 2.9394679915605690297e-144j)  +/-  (2.29e-26, 6.21e-57j)
| (0.011506596741917076225 + 4.9848167679471954324e-141j)  +/-  (2.84e-23, 7.68e-54j)
| (1.0642724627824776593e-05 - 1.3508536766415356642e-142j)  +/-  (4.04e-25, 1.09e-55j)
| (0.078570626830338465934 - 3.220840963920319854e-141j)  +/-  (1.85e-23, 5.02e-54j)
| (0.011506596741917076225 + 1.2824375678226843587e-141j)  +/-  (1.03e-24, 2.81e-55j)
| (0.34229582853436064445 - 8.1099336210362253526e-141j)  +/-  (2.94e-23, 8.04e-54j)
| (0.078570626830338465934 - 6.8710602085482324139e-141j)  +/-  (5.07e-24, 1.39e-54j)
| (0.23811340498788531565 + 8.4460020376328415958e-141j)  +/-  (8.7e-24, 2.36e-54j)
| (0.0006507906129236193071 - 4.0403719419619231711e-142j)  +/-  (1.13e-25, 3.02e-56j)
