Starting with polynomial:
P : 32*t^5 - 160*t^3 + 120*t
Extension levels are: 5 12
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Trying to find an order 12 Kronrod extension for:
P1 : 32*t^5 - 160*t^3 + 120*t
Solvable: 1
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Ending with final polynomial:
P : 32*t^17 - 104576/53*t^15 + 2468820/53*t^13 - 28579980/53*t^11 + 172854825/53*t^9 - 539111430/53*t^7 + 3204996795/212*t^5 - 1892565675/212*t^3 + 1129052925/848*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
Sufficient bits for target precision reached
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The nodes are:
| (-4.6990084695455690955 - 1.324823185261939502e-210j)  +/-  (1.73e-60, 1.73e-60j)
| (3.2107875901386318771 - 3.771086175817425187e-215j)  +/-  (8.9e-60, 8.9e-60j)
| (0.95857246461381850711 + 1.4759133846160445631e-216j)  +/-  (8.58e-62, 8.58e-62j)
| (3.8908498934873603953 - 2.5201008578779908702e-215j)  +/-  (5.97e-60, 5.97e-60j)
| (-1.4758400226117297351 - 2.248147527891157323e-214j)  +/-  (6.18e-61, 6.18e-61j)
| (2.0201828704560856329 - 5.7336827072224072856e-216j)  +/-  (2.2e-60, 2.2e-60j)
| (-3.1161319060991343943e-217 + 1.7705294921017809059e-218j)  +/-  (5.31e-216, 5.31e-216j)
| (-0.95857246461381850711 - 9.065110999561118238e-218j)  +/-  (8.66e-62, 8.66e-62j)
| (-3.8908498934873603953 + 1.9580639759052015394e-214j)  +/-  (5.96e-60, 5.96e-60j)
| (-2.5950369655393867119 - 2.0921295756280809532e-221j)  +/-  (6.33e-60, 6.33e-60j)
| (0.46851498816181809435 + 4.8308615771978499812e-232j)  +/-  (1.2e-62, 1.2e-62j)
| (-2.0201828704560856329 + 1.1422974771082416101e-231j)  +/-  (2.08e-60, 2.08e-60j)
| (-0.46851498816181809435 + 1.5356895374291260977e-237j)  +/-  (1.2e-62, 1.2e-62j)
| (-3.2107875901386318771 + 9.4668361377161704023e-241j)  +/-  (7.85e-60, 7.85e-60j)
| (2.5950369655393867119 + 4.2881955772328197614e-241j)  +/-  (6.09e-60, 6.09e-60j)
| (1.4758400226117297351 + 1.0530011932665427117e-245j)  +/-  (6.99e-61, 6.99e-61j)
| (4.6990084695455690955 - 3.7872287399250323947e-244j)  +/-  (1.95e-60, 1.95e-60j)
-------------------------------------------------
The weights are:
| (1.344044218066926386e-10 - 9.3120586669543938914e-220j)  +/-  (2.9e-25, 2.73e-54j)
| (1.2076533949689914486e-05 + 6.5550997806475493815e-219j)  +/-  (5.57e-23, 5.25e-52j)
| (0.11337826973038211872 + 3.8450915196315635335e-216j)  +/-  (1.36e-18, 1.29e-47j)
| (1.0917856858649718771e-07 - 2.4911743564036754271e-220j)  +/-  (2.52e-24, 2.37e-53j)
| (0.033909363500583475586 - 1.211753370914829735e-215j)  +/-  (2.38e-19, 2.24e-48j)
| (0.0053218865869766367599 + 3.9830551437853891174e-217j)  +/-  (5.27e-21, 4.96e-50j)
| (0.26173355868149404954 + 1.5778901496715615289e-215j)  +/-  (8.3e-19, 7.83e-48j)
| (0.11337826973038211872 + 2.9017455054188693779e-215j)  +/-  (2.43e-19, 2.29e-48j)
| (1.0917856858649718771e-07 + 1.0256557065019113409e-218j)  +/-  (4.98e-25, 4.69e-54j)
| (0.00039784498229017553549 + 7.4185668536477576758e-217j)  +/-  (2.57e-23, 2.42e-52j)
| (0.21611367001209787041 - 8.7378219565037197908e-216j)  +/-  (4.12e-20, 3.88e-49j)
| (0.0053218865869766367599 - 5.3654045731729482655e-216j)  +/-  (1.84e-22, 1.74e-51j)
| (0.21611367001209787041 - 2.1867579699072819868e-215j)  +/-  (6.22e-21, 5.81e-50j)
| (1.2076533949689914486e-05 - 9.7630877697702747886e-218j)  +/-  (2.29e-24, 2.16e-53j)
| (0.00039784498229017553549 - 4.5923745560839115436e-218j)  +/-  (9.2e-25, 8.51e-54j)
| (0.033909363500583475586 - 1.5653533559373353827e-216j)  +/-  (2.67e-23, 2.07e-52j)
| (1.344044218066926386e-10 + 6.3132711443841584237e-222j)  +/-  (1.24e-28, 1.33e-57j)
