Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 12
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 12 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
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Ending with final polynomial:
P : 4*t^17 - 3855458534/18122395*t^15 + 76689404679/18122395*t^13 - 1451963624397/36244790*t^11 + 2765036333631/14497916*t^9 - 12957851045997/28995832*t^7 + 27641768331177/57991664*t^5 - 23638263740091/115983328*t^3 + 3232373443299/115983328*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:
| (-2.9734984797723849738 + 3.3528859169441612213e-376j)  +/-  (6.55e-124, 6.55e-124j)
| (-2.3340614410930684954 + 1.3046836726089810041e-377j)  +/-  (3.77e-124, 3.77e-124j)
| (-3.6749852443872490457 - 2.6441371336093119936e-382j)  +/-  (5.14e-124, 5.14e-124j)
| (-4.5040545022880217428 + 4.503776458500599553e-386j)  +/-  (2.08e-124, 2.08e-124j)
| (-1.1587454282597314315 - 1.2197727908439123789e-386j)  +/-  (3.86e-125, 3.86e-125j)
| (2.9734984797723849738 - 1.1627123180738989828e-399j)  +/-  (7.23e-124, 7.23e-124j)
| (1.7320508075688772935 - 2.1176655137335453467e-424j)  +/-  (1.38e-124, 1.38e-124j)
| (4.5040545022880217428 + 6.3522045566255320111e-442j)  +/-  (1.8e-124, 1.8e-124j)
| (2.3340614410930684954 + 1.7749525050016113138e-454j)  +/-  (3.86e-124, 3.86e-124j)
| (-1.7320508075688772935 + 3.370932294606716475e-463j)  +/-  (1.41e-124, 1.41e-124j)
| (0.7071067811865475244 - 5.7046546524113663423e-463j)  +/-  (1.4e-125, 1.4e-125j)
| (3.6749852443872490457 - 2.4135515649767327526e-467j)  +/-  (6.53e-124, 6.53e-124j)
| (-0.7071067811865475244 - 5.0713794009861067779e-472j)  +/-  (1.36e-125, 1.36e-125j)
| (-0.51198835281687566252 - 5.6600216528862798861e-475j)  +/-  (4.4e-126, 4.4e-126j)
| (-1.9319540575185168678e-472 + 9.6597702875925843389e-473j)  +/-  (3.67e-471, 3.67e-471j)
| (0.51198835281687566252 - 1.439417941509572318e-480j)  +/-  (4.06e-126, 4.06e-126j)
| (1.1587454282597314315 + 5.7530697866009065599e-495j)  +/-  (4.07e-125, 4.07e-125j)
-------------------------------------------------
The weights are:
| (5.4211533037903399745e-05 + 7.035099219505291359e-380j)  +/-  (9.77e-48, 1.73e-109j)
| (0.0015014247278740649332 - 1.8655371758337672135e-379j)  +/-  (2.19e-46, 3.87e-108j)
| (5.7500881958745528062e-07 + 1.6079621972856981317e-381j)  +/-  (1.24e-49, 2.19e-111j)
| (8.2732450192341128344e-10 - 1.7976637233058863377e-383j)  +/-  (2.04e-51, 3.6e-113j)
| (0.081821443149621417589 - 2.8385012397778751772e-378j)  +/-  (4.98e-45, 8.8e-107j)
| (5.4211533037903399745e-05 + 2.6374973844608356041e-381j)  +/-  (2.67e-51, 4.72e-113j)
| (0.016504855393751059386 + 1.8841925617355960872e-379j)  +/-  (1.13e-48, 1.99e-110j)
| (8.2732450192341128344e-10 + 3.488356997526306954e-384j)  +/-  (1.78e-54, 3.16e-116j)
| (0.0015014247278740649332 - 2.5975234781531651287e-380j)  +/-  (1.56e-50, 2.77e-112j)
| (0.016504855393751059386 + 6.2208762374409760454e-379j)  +/-  (5.01e-49, 8.91e-111j)
| (0.071966371015636023274 + 7.9390227231970563622e-378j)  +/-  (4.41e-48, 7.86e-110j)
| (5.7500881958745528062e-07 - 1.5672490449153543197e-382j)  +/-  (3.94e-53, 6.96e-115j)
| (0.071966371015636023274 + 1.2554584642267099153e-377j)  +/-  (3.24e-48, 5.77e-110j)
| (0.17538756252656273483 - 1.4221824996528672202e-377j)  +/-  (2.7e-48, 4.81e-110j)
| (0.30552711163474541442 + 7.438294150039975331e-378j)  +/-  (3.95e-49, 7.01e-111j)
| (0.17538756252656273483 - 1.0229533291467152147e-377j)  +/-  (2.02e-49, 3.87e-111j)
| (0.081821443149621417589 - 1.3144451538752525413e-378j)  +/-  (3.51e-50, 5.42e-112j)
