Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 14
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^16 - 935281/8628*t^14 + 38001691/8628*t^12 - 245286041/2876*t^10 + 2383796415/2876*t^8 - 11245499265/2876*t^6 + 22854346515/2876*t^4 - 15081381315/2876*t^2 + 1321665345/2876
-------------------------------------------------
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
Positive weights:   16 out of 16
Indefinite weights: 0 out of 16
Negative weights:   0 out of 16
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.2555162521877678015 + 3.08606756340383148e-190j)  +/-  (5.82e-60, 5.82e-60j)
| (-4.2555162521877678015 - 3.1036362852169769606e-195j)  +/-  (5.82e-60, 5.82e-60j)
| (5.2385718534747252466 - 2.612840353260520744e-200j)  +/-  (4.71e-60, 4.71e-60j)
| (6.4037654380415055938 - 6.2195296494848821422e-203j)  +/-  (2.15e-60, 2.15e-60j)
| (-2.5291115060537482634 - 4.0825630519695636625e-202j)  +/-  (1.34e-60, 1.34e-60j)
| (-6.4037654380415055938 + 7.1639213711013766661e-206j)  +/-  (2.06e-60, 2.06e-60j)
| (-5.2385718534747252466 + 1.1501603976085716932e-209j)  +/-  (5.41e-60, 5.41e-60j)
| (-1.7404508708598477666 - 3.2489357822427047765e-213j)  +/-  (2.68e-61, 2.68e-61j)
| (2.5291115060537482634 - 3.2489357822427047765e-214j)  +/-  (1.25e-60, 1.25e-60j)
| (-0.32075040850526950902 + 5.9829732597103380371e-216j)  +/-  (5.55e-63, 5.55e-63j)
| (1.7404508708598477666 + 1.4504177599297789181e-216j)  +/-  (2.68e-61, 2.68e-61j)
| (3.3633245069953754209 - 5.5240520153575564263e-218j)  +/-  (3.74e-60, 3.74e-60j)
| (-1 - 7.4694212948043881966e-221j)  +/-  (4.24e-62, 4.24e-62j)
| (0.32075040850526950902 - 4.8308615771978499812e-232j)  +/-  (5.55e-63, 5.55e-63j)
| (-3.3633245069953754209 - 1.0797817060048542875e-239j)  +/-  (3.54e-60, 3.54e-60j)
| (1 + 3.9331114179735041864e-247j)  +/-  (5.49e-62, 5.49e-62j)
-------------------------------------------------
The weights are:
| (4.3331340771720136376e-05 - 3.1386470115947653192e-194j)  +/-  (1.56e-20, 2.28e-50j)
| (4.3331340771720136376e-05 + 1.5708620541713658783e-195j)  +/-  (1.95e-21, 2.86e-51j)
| (4.5992039355072722676e-07 - 1.1515359145449700169e-195j)  +/-  (3.74e-22, 5.49e-52j)
| (6.621163746065121881e-10 + 1.6478752771507180611e-197j)  +/-  (1.04e-23, 1.52e-53j)
| (0.0132055567903832826 + 5.4660208328223474279e-194j)  +/-  (7.96e-20, 1.17e-49j)
| (6.621163746065121881e-10 + 3.3212521271572001595e-198j)  +/-  (3.18e-25, 4.67e-55j)
| (4.5992039355072722676e-07 - 1.1924606025097467462e-196j)  +/-  (9.37e-24, 1.37e-53j)
| (0.067226710142110343012 - 1.8616365679189386576e-193j)  +/-  (1.25e-19, 1.82e-49j)
| (0.0132055567903832826 - 2.1481803506875751362e-193j)  +/-  (7.87e-22, 1.15e-51j)
| (0.24611971447116113623 - 8.2181551380951516901e-193j)  +/-  (4.24e-20, 5.76e-50j)
| (0.067226710142110343012 + 4.438267205455432858e-193j)  +/-  (3.92e-21, 5.71e-51j)
| (0.0011994090775770622289 + 9.7837601871463133011e-194j)  +/-  (1.14e-22, 1.67e-52j)
| (0.17220481759548653046 + 4.6684004648169605396e-193j)  +/-  (8.67e-21, 1.22e-50j)
| (0.24611971447116113623 + 9.5580234123185644019e-193j)  +/-  (1.6e-20, 2.09e-50j)
| (0.0011994090775770622289 - 1.1456140086943068213e-194j)  +/-  (6.33e-23, 9.7e-53j)
| (0.17220481759548653046 - 7.5364698266999920301e-193j)  +/-  (4.95e-21, 5.69e-51j)
