Starting with polynomial:
P : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Extension levels are: 14
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Ending with final polynomial:
P : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
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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
Positive weights:   14 out of 14
Indefinite weights: 0 out of 14
Negative weights:   0 out of 14
Extension rule has valid weights: 1
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The nodes are:
| (2.7484707249854025686 + 1.3555799241203723162e-181j)  +/-  (8.15e-61, 8.15e-61j)
| (-4.3044485704736318126 - 5.0274846123815145565e-188j)  +/-  (2.78e-61, 2.78e-61j)
| (4.3044485704736318126 + 5.0562130958808374968e-186j)  +/-  (2.78e-61, 2.78e-61j)
| (3.4626569336022705502 - 8.9776510935384188508e-189j)  +/-  (9.7e-61, 9.7e-61j)
| (0.87871378732939941611 - 8.767237396033612159e-193j)  +/-  (2.63e-62, 2.63e-62j)
| (-1.4766827311411408706 + 1.8728839652171412693e-195j)  +/-  (1.41e-61, 1.41e-61j)
| (-2.0951832585077168157 - 4.1805445652168331904e-197j)  +/-  (5.15e-61, 5.15e-61j)
| (-2.7484707249854025686 - 2.0902722826084165952e-199j)  +/-  (8.23e-61, 8.23e-61j)
| (-3.4626569336022705502 - 2.2177008766192087767e-204j)  +/-  (1.2e-60, 1.2e-60j)
| (0.29174551067256207845 + 4.532555499780559119e-217j)  +/-  (1.97e-63, 1.97e-63j)
| (1.4766827311411408706 + 1.3284869337294087448e-231j)  +/-  (1.41e-61, 1.41e-61j)
| (2.0951832585077168157 + 2.6244694243173541709e-241j)  +/-  (4.45e-61, 4.45e-61j)
| (-0.29174551067256207845 - 4.5400977764418515234e-243j)  +/-  (3.43e-63, 3.43e-63j)
| (-0.87871378732939941611 + 1.7162668005702563722e-244j)  +/-  (2.47e-62, 2.47e-62j)
-------------------------------------------------
The weights are:
| (0.00020033955376074414217 - 7.4641948206676156597e-185j)  +/-  (2.26e-20, 1.19e-50j)
| (4.8681612577483808128e-09 + 1.8981131038765165631e-188j)  +/-  (1.01e-23, 5.29e-54j)
| (4.8681612577483808128e-09 + 8.6037348880415420224e-188j)  +/-  (2.27e-23, 1.19e-53j)
| (2.6609913440676305554e-06 - 4.3824672071558594719e-186j)  +/-  (5.57e-22, 2.92e-52j)
| (0.15408333984251362572 + 4.0281089970113633867e-184j)  +/-  (8.44e-20, 4.43e-50j)
| (0.03865010882425340019 + 8.9277375162424291567e-185j)  +/-  (7.98e-20, 4.19e-50j)
| (0.0044289191069474034969 - 2.6362361089726573772e-185j)  +/-  (1.94e-21, 1.02e-51j)
| (0.00020033955376074414217 + 4.9404986141553152508e-186j)  +/-  (7.07e-23, 3.72e-53j)
| (2.6609913440676305554e-06 - 5.0391793534947243599e-187j)  +/-  (4.91e-24, 2.57e-54j)
| (0.30263462681301950107 - 4.2964647835573934126e-184j)  +/-  (3.16e-21, 1.66e-51j)
| (0.03865010882425340019 - 2.9659864108251254164e-184j)  +/-  (2.54e-22, 1.37e-52j)
| (0.0044289191069474034969 + 1.9545782077034678411e-184j)  +/-  (5.05e-23, 2.71e-53j)
| (0.30263462681301950107 + 3.4718693142348041133e-184j)  +/-  (5.73e-22, 3.01e-52j)
| (0.15408333984251362572 - 2.0764273027430237634e-184j)  +/-  (4.61e-22, 2.06e-52j)
