Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4
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Ending with final polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
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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:
| (0.86113631159405257522 + 7.6996933697913992575e-69j)  +/-  (1.67e-63, 1.67e-63j)
| (-0.3399810435848562648 - 6.8205577887142092753e-81j)  +/-  (9.26e-64, 9.26e-64j)
| (-0.86113631159405257522 + 6.4444240436655155101e-99j)  +/-  (1.02e-63, 1.02e-63j)
| (0.3399810435848562648 + 2.9741505906042764335e-118j)  +/-  (9.26e-64, 9.26e-64j)
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The weights are:
| (0.34785484513745385737 - 8.9243482813642088056e-69j)  +/-  (9.07e-30, 2.71e-61j)
| (0.65214515486254614263 - 5.6481112822997464205e-69j)  +/-  (4.18e-30, 1.28e-61j)
| (0.34785484513745385737 + 1.5551403469393324536e-69j)  +/-  (1.88e-30, 5.93e-62j)
| (0.65214515486254614263 + 1.3017319216724622773e-68j)  +/-  (3.01e-30, 8.38e-62j)
