Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 7
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Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 7 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^13 - 11979409/2770390*t^11 + 54031549/11635638*t^9 - 751494029/329676410*t^7 + 11821062/23548315*t^5 - 193274/4709663*t^3 + 52009/70644945*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:
| (0.98475192553972407787 + 1.4663694544798102474e-149j)  +/-  (9.19e-61, 9.19e-61j)
| (-0.98475192553972407787 - 1.681221086115073666e-152j)  +/-  (1.02e-60, 1.02e-60j)
| (-0.91248695683407599658 - 1.3087921403477038581e-151j)  +/-  (1.5e-60, 1.5e-60j)
| (-0.15655801081562154215 - 2.6850026632320744276e-152j)  +/-  (2.08e-63, 2.08e-63j)
| (0.77338516233180687365 - 8.9738755677800887535e-151j)  +/-  (9.52e-61, 9.52e-61j)
| (-0.77338516233180687365 + 3.7563928254188595383e-158j)  +/-  (7.99e-61, 7.99e-61j)
| (-0.57735026918962576451 - 7.8507839031812936715e-159j)  +/-  (1.86e-61, 1.86e-61j)
| (0.91248695683407599658 - 6.0544391921974334525e-157j)  +/-  (1.74e-60, 1.74e-60j)
| (-0.35268668944600305388 - 1.3197630075067647558e-161j)  +/-  (2.26e-62, 2.26e-62j)
| (0.57735026918962576451 + 6.5014247760191294099e-171j)  +/-  (1.72e-61, 1.72e-61j)
| (-1.0572081927750842039e-184 - 2.0592576972314683623e-184j)  +/-  (3.01e-183, 3.01e-183j)
| (0.35268668944600305388 - 3.315041198199285694e-199j)  +/-  (2.2e-62, 2.2e-62j)
| (0.15655801081562154215 - 4.6386634217601899694e-209j)  +/-  (2.08e-63, 2.08e-63j)
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The weights are:
| (0.040338889525611156403 - 1.7080599115283633944e-149j)  +/-  (5.87e-19, 3.82e-48j)
| (0.040338889525611156403 - 3.6523491633259070544e-151j)  +/-  (2.72e-19, 1.77e-48j)
| (0.10583534905874465268 + 9.4666375878211264593e-151j)  +/-  (1.95e-19, 1.27e-48j)
| (0.16490521856013075523 + 3.7065919297243574077e-149j)  +/-  (3.37e-20, 2.19e-49j)
| (0.17062695271672071057 - 1.8275277357913901983e-149j)  +/-  (7.46e-21, 4.86e-50j)
| (0.17062695271672071057 - 1.9737990751461639121e-150j)  +/-  (4.47e-20, 2.91e-49j)
| (0.21698966624299065784 + 4.8723696624289394839e-150j)  +/-  (2.05e-20, 1.34e-49j)
| (0.10583534905874465268 + 2.7414622753971999336e-149j)  +/-  (1.64e-21, 1.07e-50j)
| (0.22241180227041724294 - 1.4189292703579333346e-149j)  +/-  (9.86e-21, 6.42e-50j)
| (0.21698966624299065784 + 1.8503764845376330759e-149j)  +/-  (5.49e-22, 3.58e-51j)
| (0.15778424325076964867 - 5.8031185167210390953e-149j)  +/-  (1.35e-21, 8.79e-51j)
| (0.22241180227041724294 - 2.9980612383355827305e-149j)  +/-  (1.71e-22, 1.13e-51j)
| (0.16490521856013075523 + 5.1092660401018885847e-149j)  +/-  (3.37e-22, 2.17e-51j)
