Starting with polynomial:
P : 67282234305/262144*t^21 - 172308161025/131072*t^19 + 755505013725/262144*t^17 - 115707975075/32768*t^15 + 347123925225/131072*t^13 - 82047473235/65536*t^11 + 48522699225/131072*t^9 - 2151252675/32768*t^7 + 1673196525/262144*t^5 - 37182145/131072*t^3 + 969969/262144*t
Extension levels are: 21
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Ending with final polynomial:
P : 67282234305/262144*t^21 - 172308161025/131072*t^19 + 755505013725/262144*t^17 - 115707975075/32768*t^15 + 347123925225/131072*t^13 - 82047473235/65536*t^11 + 48522699225/131072*t^9 - 2151252675/32768*t^7 + 1673196525/262144*t^5 - 37182145/131072*t^3 + 969969/262144*t
-------------------------------------------------
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
  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
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The nodes are:
| (-0.99375217062038950026 - 2.936201845410245546e-287j)  +/-  (9.75e-122, 9.75e-122j)
| (0.99375217062038950026 + 8.0963391323462477799e-289j)  +/-  (8.06e-122, 8.06e-122j)
| (-0.96722683856630629432 - 1.3986058105476192807e-299j)  +/-  (1.69e-121, 1.69e-121j)
| (-0.14556185416089509094 + 7.7883765412901438011e-300j)  +/-  (4.02e-127, 4.02e-127j)
| (0.92009933415040082879 - 4.8963991878628176035e-309j)  +/-  (1.85e-121, 1.85e-121j)
| (0.76843996347567790862 - 2.185236206563012669e-329j)  +/-  (4.08e-122, 4.08e-122j)
| (0.96722683856630629432 - 1.8511876156970881386e-345j)  +/-  (2e-121, 2e-121j)
| (-0.76843996347567790862 - 5.9535693299550902546e-352j)  +/-  (3.88e-122, 3.88e-122j)
| (-0.55161883588721980706 + 6.8361158039188105707e-361j)  +/-  (1.14e-123, 1.14e-123j)
| (0.55161883588721980706 + 3.0539694316767553601e-370j)  +/-  (1.5e-123, 1.5e-123j)
| (0.85336336458331728365 - 7.9060189189235866469e-386j)  +/-  (1.02e-121, 1.02e-121j)
| (0.14556185416089509094 - 6.6879929363755390278e-394j)  +/-  (4.02e-127, 4.02e-127j)
| (-0.42434212020743878357 + 3.6994519177175129011e-397j)  +/-  (1.29e-124, 1.29e-124j)
| (-0.85336336458331728365 - 1.0218449205507770086e-395j)  +/-  (8.86e-122, 8.86e-122j)
| (-6.6200785898642779808e-396 + 1.6126073155700894736e-396j)  +/-  (1.43e-394, 1.43e-394j)
| (0.66713880419741231931 + 1.2367152236393822323e-400j)  +/-  (8.36e-123, 8.36e-123j)
| (0.42434212020743878357 - 6.3784242632833941241e-404j)  +/-  (1.44e-124, 1.44e-124j)
| (-0.92009933415040082879 + 2.1372203727280086816e-404j)  +/-  (1.58e-121, 1.58e-121j)
| (-0.66713880419741231931 - 3.9898928937086896122e-406j)  +/-  (7.51e-123, 7.51e-123j)
| (-0.2880213168024010966 - 5.8917197251044162611e-409j)  +/-  (9.39e-126, 9.39e-126j)
| (0.2880213168024010966 - 1.7367091183371801286e-405j)  +/-  (7.7e-126, 7.7e-126j)
-------------------------------------------------
The weights are:
| (0.016017228257774333324 - 3.7525505240579952204e-287j)  +/-  (7.21e-45, 3.14e-103j)
| (0.016017228257774333324 - 1.2711830269906355505e-288j)  +/-  (1.85e-45, 8.07e-104j)
| (0.0369537897708524938 + 6.1290960739937429742e-287j)  +/-  (3.35e-45, 1.46e-103j)
| (0.14452440398997005906 + 1.5067157850988787123e-287j)  +/-  (1.55e-46, 6.75e-105j)
| (0.057134425426857208284 - 2.7957813633754810152e-288j)  +/-  (7.43e-46, 3.24e-104j)
| (0.093444423456033861553 - 4.4930603865543991416e-288j)  +/-  (2.1e-46, 9.14e-105j)
| (0.0369537897708524938 + 2.5181662911504933436e-288j)  +/-  (7.48e-46, 3.26e-104j)
| (0.093444423456033861553 - 2.9008603373254210218e-287j)  +/-  (2.07e-47, 9e-106j)
| (0.1218314160537285342 - 2.2097071761525605201e-287j)  +/-  (1.28e-47, 5.6e-106j)
| (0.1218314160537285342 - 6.8770662337908700449e-288j)  +/-  (1.42e-47, 6.16e-106j)
| (0.076100113628379302017 + 3.532733640413327685e-288j)  +/-  (8.59e-47, 3.74e-105j)
| (0.14452440398997005906 + 1.1398587090704674072e-287j)  +/-  (3.59e-48, 1.56e-106j)
| (0.13226893863333746178 + 1.9469493863591353541e-287j)  +/-  (1.91e-48, 8.41e-107j)
| (0.076100113628379302017 + 3.4178291469562546091e-287j)  +/-  (2.76e-49, 1.22e-107j)
| (0.14608113364969042719 - 1.3158657571353619242e-287j)  +/-  (2.45e-48, 1.06e-106j)
| (0.10879729916714837766 + 5.6163410552685310577e-288j)  +/-  (1.92e-48, 8.34e-107j)
| (0.13226893863333746178 + 8.2629906562143468077e-288j)  +/-  (8.28e-49, 3.62e-107j)
| (0.057134425426857208284 - 4.236786119016726935e-287j)  +/-  (9.81e-50, 4.41e-108j)
| (0.10879729916714837766 + 2.5183759832231772944e-287j)  +/-  (2.14e-49, 9.62e-108j)
| (0.13988739479107315472 - 1.7154124690661469777e-287j)  +/-  (1.87e-49, 8.7e-108j)
| (0.13988739479107315472 - 9.7695676518097506618e-288j)  +/-  (1.5e-49, 5.8e-108j)
