Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 14
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Trying to find an order 14 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^16 - 935281/4314*t^14 + 38001691/8628*t^12 - 245286041/5752*t^10 + 2383796415/11504*t^8 - 11245499265/23008*t^6 + 22854346515/46016*t^4 - 15081381315/92032*t^2 + 1321665345/184064
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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:
| (-3.7042296813249592447 - 1.6606589737905843394e-135j)  +/-  (3.69e-60, 3.69e-60j)
| (-3.0091043993715327196 + 1.2092176993620759753e-137j)  +/-  (4.78e-60, 4.78e-60j)
| (3.7042296813249592447 - 1.189077191891147301e-141j)  +/-  (3.77e-60, 3.77e-60j)
| (4.5281459663671905541 + 5.0406449997743477254e-150j)  +/-  (1.35e-60, 1.35e-60j)
| (-4.5281459663671905541 + 3.4537730460287016947e-154j)  +/-  (1.46e-60, 1.46e-60j)
| (1.2306846131070304577 - 1.2492720724760346295e-153j)  +/-  (1.88e-61, 1.88e-61j)
| (3.0091043993715327196 + 3.4730605460704335679e-163j)  +/-  (4.17e-60, 4.17e-60j)
| (-2.3782295662273317563 + 6.0344381083386508981e-172j)  +/-  (2.76e-60, 2.76e-60j)
| (0.7071067811865475244 - 1.7466514323633481997e-171j)  +/-  (2.55e-62, 2.55e-62j)
| (-0.22680478892243133872 - 1.0107936529880487267e-173j)  +/-  (2.63e-63, 2.63e-63j)
| (0.22680478892243133872 + 2.2641777826932291477e-172j)  +/-  (2.63e-63, 2.63e-63j)
| (2.3782295662273317563 + 1.3109964066159689601e-178j)  +/-  (2.7e-60, 2.7e-60j)
| (-1.7883518963075274379 + 3.6628816461636748911e-187j)  +/-  (8.06e-61, 8.06e-61j)
| (-1.2306846131070304577 + 1.7775749165206069325e-187j)  +/-  (2.19e-61, 2.19e-61j)
| (-0.7071067811865475244 + 3.2319543936738307863e-187j)  +/-  (2.55e-62, 2.55e-62j)
| (1.7883518963075274379 + 1.104671911900235132e-190j)  +/-  (8.27e-61, 8.27e-61j)
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The weights are:
| (4.5992039355072722676e-07 - 2.9623030975433344106e-141j)  +/-  (1.05e-22, 4.18e-52j)
| (4.3331340771720136376e-05 + 1.4718566046084532453e-140j)  +/-  (2.01e-21, 7.97e-51j)
| (4.5992039355072722676e-07 + 1.0970377803683703305e-142j)  +/-  (4.8e-24, 1.9e-53j)
| (6.621163746065121881e-10 - 3.0853002845828727863e-144j)  +/-  (1.99e-25, 7.89e-55j)
| (6.621163746065121881e-10 - 2.9902124839224172265e-143j)  +/-  (3.19e-25, 1.27e-54j)
| (0.067226710142110343012 + 1.6292990780343900832e-139j)  +/-  (9.87e-20, 3.91e-49j)
| (4.3331340771720136376e-05 - 1.4310054728514957617e-141j)  +/-  (2.08e-23, 8.26e-53j)
| (0.0011994090775770622289 - 4.9836445663282625398e-140j)  +/-  (9.71e-23, 3.9e-52j)
| (0.17220481759548653046 - 4.0112658468163955495e-139j)  +/-  (6.75e-20, 2.68e-49j)
| (0.24611971447116113623 - 7.8265944253064652276e-139j)  +/-  (2.55e-20, 1.01e-49j)
| (0.24611971447116113623 + 6.9103409872628657388e-139j)  +/-  (3.27e-20, 1.3e-49j)
| (0.0011994090775770622289 + 1.0317538332119911194e-140j)  +/-  (7.08e-23, 2.8e-52j)
| (0.0132055567903832826 + 1.4250729907262321469e-139j)  +/-  (2.36e-22, 9.58e-52j)
| (0.067226710142110343012 - 3.2906988783847049247e-139j)  +/-  (8.51e-22, 3.47e-51j)
| (0.17220481759548653046 + 5.9408669878961517014e-139j)  +/-  (1.89e-21, 7.73e-51j)
| (0.0132055567903832826 - 4.8585155838647414934e-140j)  +/-  (1.27e-22, 4.64e-52j)
