Starting with polynomial:
P : -1/355687428096000*t^17 + 17/20922789888000*t^16 - 17/163459296000*t^15 + 17/2179457280*t^14 - 17/44478720*t^13 + 221/17107200*t^12 - 221/712800*t^11 + 2431/453600*t^10 - 2431/36288*t^9 + 2431/4032*t^8 - 2431/630*t^7 + 1547/90*t^6 - 1547/30*t^5 + 595/6*t^4 - 340/3*t^3 + 68*t^2 - 17*t + 1
Extension levels are: 17
-------------------------------------------------
Ending with final polynomial:
P : -1/355687428096000*t^17 + 17/20922789888000*t^16 - 17/163459296000*t^15 + 17/2179457280*t^14 - 17/44478720*t^13 + 221/17107200*t^12 - 221/712800*t^11 + 2431/453600*t^10 - 2431/36288*t^9 + 2431/4032*t^8 - 2431/630*t^7 + 1547/90*t^6 - 1547/30*t^5 + 595/6*t^4 - 340/3*t^3 + 68*t^2 - 17*t + 1
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   17 out of 17
Indefinite weights: 0 out of 17
Negative weights:   0 out of 17
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (55.389751789839610664 + 1.7115719644267782002e-311j)  +/-  (1.93e-120, 1.93e-120j)
| (26.315317811248799777 + 2.3308420350622653045e-316j)  +/-  (1.19e-118, 1.19e-118j)
| (37.796093837477100729 - 3.3243943826989316868e-324j)  +/-  (4.33e-119, 4.33e-119j)
| (45.375716533988966183 - 7.6511162883120100354e-329j)  +/-  (1.43e-119, 1.43e-119j)
| (14.407823037481318002 - 1.0061768516779166384e-330j)  +/-  (5.06e-119, 5.06e-119j)
| (11.425529319373352587 + 6.9237475073925392967e-342j)  +/-  (1.8e-119, 1.8e-119j)
| (8.8466855111698000537 + 5.9286158373375610558e-357j)  +/-  (5.75e-120, 5.75e-120j)
| (31.581771680456733134 + 5.1941119344833653323e-373j)  +/-  (8.49e-119, 8.49e-119j)
| (2.0051935316492322407 - 2.329168605737510992e-386j)  +/-  (2.81e-123, 2.81e-123j)
| (3.2342561240474437616 - 6.5154925980921857166e-385j)  +/-  (3.15e-122, 3.15e-122j)
| (1.0751765775114285773 - 7.3050027755978276669e-391j)  +/-  (2.1e-124, 2.1e-124j)
| (0.082638214708947669054 - 4.6653677047307294447e-390j)  +/-  (1.68e-127, 1.68e-127j)
| (21.778268257722265326 + 9.9319472482891204684e-399j)  +/-  (1.17e-118, 1.17e-118j)
| (17.838284730701140929 - 6.2985631624159825e-421j)  +/-  (8.97e-119, 8.97e-119j)
| (6.6378292053649526654 - 9.1758516370741154526e-433j)  +/-  (1.26e-120, 1.26e-120j)
| (0.43615032355871043638 - 2.7487634567096598084e-440j)  +/-  (7.92e-126, 7.92e-126j)
| (4.7735135137001972648 - 4.992617706575942723e-434j)  +/-  (2.65e-121, 2.65e-121j)
-------------------------------------------------
The weights are:
| (1.0656263162740427882e-23 + 7.2289870789283756749e-335j)  +/-  (6.93e-52, 2.48e-110j)
| (1.8169103625554497956e-11 - 2.0426464153302166097e-327j)  +/-  (2.47e-47, 8.83e-106j)
| (2.6173738822233704216e-16 + 1.6354372442048490239e-330j)  +/-  (9.99e-50, 3.57e-108j)
| (1.6729356931461546909e-19 - 2.593041554329846202e-332j)  +/-  (6.92e-51, 2.47e-109j)
| (1.7685150532316768954e-06 + 8.3027576000576614118e-326j)  +/-  (1.32e-45, 4.71e-104j)
| (3.0275517837828701094e-05 - 2.4509531160961792662e-325j)  +/-  (8.23e-45, 2.94e-103j)
| (0.00034367972715629992061 + 6.2023511284471935743e-325j)  +/-  (3.22e-44, 1.15e-102j)
| (1.095401388928687403e-13 - 6.7814414879715451747e-329j)  +/-  (1.51e-49, 5.4e-108j)
| (0.14512985435875862541 + 4.3736463726507243209e-324j)  +/-  (4.57e-41, 1.63e-99j)
| (0.054436943245338457779 - 3.5812962474770370476e-324j)  +/-  (1.21e-42, 4.32e-101j)
| (0.26732972635717109724 - 4.1879385164149678469e-324j)  +/-  (2.37e-41, 8.46e-100j)
| (0.19533220525177083215 - 9.5526114648704235379e-325j)  +/-  (1.07e-41, 3.82e-100j)
| (1.4697309321595467903e-09 + 7.6771281174903145479e-327j)  +/-  (3.18e-48, 1.14e-106j)
| (6.576272886810433322e-08 - 2.4962125097479857255e-326j)  +/-  (1.82e-47, 6.5e-106j)
| (0.0026628247355727725684 - 1.3290215718770049471e-324j)  +/-  (1.15e-45, 4.12e-104j)
| (0.32037535727454028134 + 2.8485826489194736536e-324j)  +/-  (1.66e-44, 6.22e-103j)
| (0.014357297766061867292 + 2.3925149316812571184e-324j)  +/-  (2.81e-45, 1e-103j)
Starting with polynomial:
P : -1/355687428096000*t^17 + 17/20922789888000*t^16 - 17/163459296000*t^15 + 17/2179457280*t^14 - 17/44478720*t^13 + 221/17107200*t^12 - 221/712800*t^11 + 2431/453600*t^10 - 2431/36288*t^9 + 2431/4032*t^8 - 2431/630*t^7 + 1547/90*t^6 - 1547/30*t^5 + 595/6*t^4 - 340/3*t^3 + 68*t^2 - 17*t + 1
Extension levels are: 17
-------------------------------------------------
Ending with final polynomial:
P : -1/355687428096000*t^17 + 17/20922789888000*t^16 - 17/163459296000*t^15 + 17/2179457280*t^14 - 17/44478720*t^13 + 221/17107200*t^12 - 221/712800*t^11 + 2431/453600*t^10 - 2431/36288*t^9 + 2431/4032*t^8 - 2431/630*t^7 + 1547/90*t^6 - 1547/30*t^5 + 595/6*t^4 - 340/3*t^3 + 68*t^2 - 17*t + 1
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   17 out of 17
Indefinite weights: 0 out of 17
Negative weights:   0 out of 17
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (55.389751789839610664 + 1.7115719644267782002e-311j)  +/-  (1.93e-120, 1.93e-120j)
| (26.315317811248799777 + 2.3308420350622653045e-316j)  +/-  (1.19e-118, 1.19e-118j)
| (37.796093837477100729 - 3.3243943826989316868e-324j)  +/-  (4.33e-119, 4.33e-119j)
| (45.375716533988966183 - 7.6511162883120100354e-329j)  +/-  (1.43e-119, 1.43e-119j)
| (14.407823037481318002 - 1.0061768516779166384e-330j)  +/-  (5.06e-119, 5.06e-119j)
| (11.425529319373352587 + 6.9237475073925392967e-342j)  +/-  (1.8e-119, 1.8e-119j)
| (8.8466855111698000537 + 5.9286158373375610558e-357j)  +/-  (5.75e-120, 5.75e-120j)
| (31.581771680456733134 + 5.1941119344833653323e-373j)  +/-  (8.49e-119, 8.49e-119j)
| (2.0051935316492322407 - 2.329168605737510992e-386j)  +/-  (2.81e-123, 2.81e-123j)
| (3.2342561240474437616 - 6.5154925980921857166e-385j)  +/-  (3.15e-122, 3.15e-122j)
| (1.0751765775114285773 - 7.3050027755978276669e-391j)  +/-  (2.1e-124, 2.1e-124j)
| (0.082638214708947669054 - 4.6653677047307294447e-390j)  +/-  (1.68e-127, 1.68e-127j)
| (21.778268257722265326 + 9.9319472482891204684e-399j)  +/-  (1.17e-118, 1.17e-118j)
| (17.838284730701140929 - 6.2985631624159825e-421j)  +/-  (8.97e-119, 8.97e-119j)
| (6.6378292053649526654 - 9.1758516370741154526e-433j)  +/-  (1.26e-120, 1.26e-120j)
| (0.43615032355871043638 - 2.7487634567096598084e-440j)  +/-  (7.92e-126, 7.92e-126j)
| (4.7735135137001972648 - 4.992617706575942723e-434j)  +/-  (2.65e-121, 2.65e-121j)
-------------------------------------------------
The weights are:
| (1.0656263162740427882e-23 + 7.2289870789283756749e-335j)  +/-  (6.93e-52, 2.48e-110j)
| (1.8169103625554497956e-11 - 2.0426464153302166097e-327j)  +/-  (2.47e-47, 8.83e-106j)
| (2.6173738822233704216e-16 + 1.6354372442048490239e-330j)  +/-  (9.99e-50, 3.57e-108j)
| (1.6729356931461546909e-19 - 2.593041554329846202e-332j)  +/-  (6.92e-51, 2.47e-109j)
| (1.7685150532316768954e-06 + 8.3027576000576614118e-326j)  +/-  (1.32e-45, 4.71e-104j)
| (3.0275517837828701094e-05 - 2.4509531160961792662e-325j)  +/-  (8.23e-45, 2.94e-103j)
| (0.00034367972715629992061 + 6.2023511284471935743e-325j)  +/-  (3.22e-44, 1.15e-102j)
| (1.095401388928687403e-13 - 6.7814414879715451747e-329j)  +/-  (1.51e-49, 5.4e-108j)
| (0.14512985435875862541 + 4.3736463726507243209e-324j)  +/-  (4.57e-41, 1.63e-99j)
| (0.054436943245338457779 - 3.5812962474770370476e-324j)  +/-  (1.21e-42, 4.32e-101j)
| (0.26732972635717109724 - 4.1879385164149678469e-324j)  +/-  (2.37e-41, 8.46e-100j)
| (0.19533220525177083215 - 9.5526114648704235379e-325j)  +/-  (1.07e-41, 3.82e-100j)
| (1.4697309321595467903e-09 + 7.6771281174903145479e-327j)  +/-  (3.18e-48, 1.14e-106j)
| (6.576272886810433322e-08 - 2.4962125097479857255e-326j)  +/-  (1.82e-47, 6.5e-106j)
| (0.0026628247355727725684 - 1.3290215718770049471e-324j)  +/-  (1.15e-45, 4.12e-104j)
| (0.32037535727454028134 + 2.8485826489194736536e-324j)  +/-  (1.66e-44, 6.22e-103j)
| (0.014357297766061867292 + 2.3925149316812571184e-324j)  +/-  (2.81e-45, 1e-103j)
