Starting with polynomial:
P : 1/1124000727777607680000*t^22 - 1/2322315553259520000*t^21 + 1/10532043325440000*t^20 - 1/78990324940800*t^19 + 19/16629542092800*t^18 - 19/256628736000*t^17 + 323/90574848000*t^16 - 323/2476656000*t^15 + 323/88058880*t^14 - 323/4043520*t^13 + 4199/3110400*t^12 - 4199/237600*t^11 + 46189/259200*t^10 - 3553/2592*t^9 + 3553/448*t^8 - 3553/105*t^7 + 24871/240*t^6 - 4389/20*t^5 + 7315/24*t^4 - 770/3*t^3 + 231/2*t^2 - 22*t + 1
Extension levels are: 22
-------------------------------------------------
Ending with final polynomial:
P : 1/1124000727777607680000*t^22 - 1/2322315553259520000*t^21 + 1/10532043325440000*t^20 - 1/78990324940800*t^19 + 19/16629542092800*t^18 - 19/256628736000*t^17 + 323/90574848000*t^16 - 323/2476656000*t^15 + 323/88058880*t^14 - 323/4043520*t^13 + 4199/3110400*t^12 - 4199/237600*t^11 + 46189/259200*t^10 - 3553/2592*t^9 + 3553/448*t^8 - 3553/105*t^7 + 24871/240*t^6 - 4389/20*t^5 + 7315/24*t^4 - 770/3*t^3 + 231/2*t^2 - 22*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:   22 out of 22
Indefinite weights: 0 out of 22
Negative weights:   0 out of 22
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (73.995507008599498225 - 7.4817979113559102037e-277j)  +/-  (6.95e-119, 6.95e-119j)
| (47.16675784915352046 + 5.1399541605913044255e-274j)  +/-  (1.27e-116, 1.27e-116j)
| (54.297385256578884239 + 1.6816425084742551087e-281j)  +/-  (3.95e-117, 3.95e-117j)
| (62.857096246299029239 - 6.5099639174183014861e-285j)  +/-  (8.49e-118, 8.49e-118j)
| (22.673316601434590091 - 1.511880977096421943e-293j)  +/-  (2.11e-116, 2.11e-116j)
| (8.6788533136784274579 + 5.5222711855011708633e-305j)  +/-  (1.4e-118, 1.4e-118j)
| (30.81335794450655812 - 1.0589021621660907192e-311j)  +/-  (4.18e-116, 4.18e-116j)
| (10.867686893540571627 + 3.336489486425133744e-321j)  +/-  (5.89e-118, 5.89e-118j)
| (19.21700368490135428 - 3.8965522539039922516e-332j)  +/-  (1.14e-116, 1.14e-116j)
| (5.09534906896873815 + 7.2568513220849287702e-345j)  +/-  (4.36e-120, 4.36e-120j)
| (0.83458998544917840503 + 1.1428204810908685323e-351j)  +/-  (3.11e-124, 3.11e-124j)
| (41.016968598471685302 + 2.2672318030685353643e-351j)  +/-  (2.48e-116, 2.48e-116j)
| (26.522319587637137939 - 1.890472186242691235e-364j)  +/-  (3.47e-116, 3.47e-116j)
| (13.340451051495240572 - 3.9364267357285054283e-371j)  +/-  (2.01e-117, 2.01e-117j)
| (6.7588355158135488139 - 5.7515385612031479632e-376j)  +/-  (2.9e-119, 2.9e-119j)
| (2.5000062367361724359 + 1.7248790615305426667e-382j)  +/-  (5.98e-122, 5.98e-122j)
| (16.11581133876631156 - 2.0231266197904898199e-376j)  +/-  (5.74e-117, 5.74e-117j)
| (0.33896725481491102047 - 6.1918649436398774844e-394j)  +/-  (9.75e-126, 9.75e-126j)
| (0.06426762874480890845 - 8.635379049650952413e-396j)  +/-  (1.69e-127, 1.69e-127j)
| (35.613335203196170034 - 4.1139304863810451869e-383j)  +/-  (3.8e-116, 3.8e-116j)
| (3.678420344463637027 - 1.4428404970857060923e-398j)  +/-  (5.74e-121, 5.74e-121j)
| (1.5537133867500260922 + 4.0085892365553422576e-401j)  +/-  (4.47e-123, 4.47e-123j)
-------------------------------------------------
The weights are:
| (9.7802465066838228351e-32 - 1.1031065907963023369e-300j)  +/-  (3.04e-46, 1.09e-103j)
| (2.1607186468181997759e-20 - 5.4352662328306657622e-294j)  +/-  (1.27e-42, 4.58e-100j)
| (2.0311199675833294893e-23 - 5.1235366398008368327e-296j)  +/-  (6.94e-44, 2.5e-101j)
| (4.7979035209907997149e-27 + 3.8504451705676267074e-298j)  +/-  (3.05e-45, 1.1e-102j)
| (5.1864230257248612662e-10 + 4.8705951484559283137e-290j)  +/-  (4.87e-39, 1.75e-96j)
| (0.00034916737149230085876 - 1.5734903287571240485e-287j)  +/-  (2.26e-33, 8.13e-91j)
| (1.8804655096314732632e-13 + 1.6193267386812805905e-291j)  +/-  (2.79e-41, 1e-98j)
| (4.4382193140661427386e-05 + 6.6560683384750921818e-288j)  +/-  (2.08e-35, 7.47e-93j)
| (1.4761938263897437679e-08 - 2.096413175061030579e-289j)  +/-  (1.1e-38, 3.96e-96j)
| (0.0094249002569982649536 - 5.7303169141358726329e-287j)  +/-  (4.51e-33, 1.62e-90j)
| (0.26340970153563371832 - 1.113294825021225807e-286j)  +/-  (4.56e-33, 1.64e-90j)
| (8.8314023083271145433e-18 + 3.404683336166304802e-293j)  +/-  (1.35e-43, 4.84e-101j)
| (1.2305262515544128132e-11 - 9.6269444761573245863e-291j)  +/-  (1.06e-40, 3.81e-98j)
| (4.2142299011046203767e-06 - 2.4385413774030596905e-288j)  +/-  (4.16e-38, 1.5e-95j)
| (0.0020773357526546158086 + 3.2259906892020629062e-287j)  +/-  (2.15e-36, 7.73e-94j)
| (0.087125622172209880159 - 1.1494748312893949939e-286j)  +/-  (2.28e-35, 8.21e-93j)
| (2.9406682461301561655e-07 + 7.7128450033398917092e-289j)  +/-  (6.2e-39, 2.23e-96j)
| (0.27417508232856468307 + 7.1619212365340623754e-287j)  +/-  (5.11e-35, 1.83e-92j)
| (0.15470198763989337473 - 2.3288448729083027928e-287j)  +/-  (2.67e-35, 9.59e-93j)
| (1.7355641391268362786e-15 - 2.3673165827278207435e-292j)  +/-  (3.51e-43, 1.26e-100j)
| (0.03275268789653862031 + 8.7805493788751888616e-287j)  +/-  (1.33e-36, 4.82e-94j)
| (0.17593460926307254278 + 1.260992134362575005e-286j)  +/-  (3.86e-36, 1.36e-93j)
Starting with polynomial:
P : 1/1124000727777607680000*t^22 - 1/2322315553259520000*t^21 + 1/10532043325440000*t^20 - 1/78990324940800*t^19 + 19/16629542092800*t^18 - 19/256628736000*t^17 + 323/90574848000*t^16 - 323/2476656000*t^15 + 323/88058880*t^14 - 323/4043520*t^13 + 4199/3110400*t^12 - 4199/237600*t^11 + 46189/259200*t^10 - 3553/2592*t^9 + 3553/448*t^8 - 3553/105*t^7 + 24871/240*t^6 - 4389/20*t^5 + 7315/24*t^4 - 770/3*t^3 + 231/2*t^2 - 22*t + 1
Extension levels are: 22
-------------------------------------------------
Ending with final polynomial:
P : 1/1124000727777607680000*t^22 - 1/2322315553259520000*t^21 + 1/10532043325440000*t^20 - 1/78990324940800*t^19 + 19/16629542092800*t^18 - 19/256628736000*t^17 + 323/90574848000*t^16 - 323/2476656000*t^15 + 323/88058880*t^14 - 323/4043520*t^13 + 4199/3110400*t^12 - 4199/237600*t^11 + 46189/259200*t^10 - 3553/2592*t^9 + 3553/448*t^8 - 3553/105*t^7 + 24871/240*t^6 - 4389/20*t^5 + 7315/24*t^4 - 770/3*t^3 + 231/2*t^2 - 22*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:   22 out of 22
Indefinite weights: 0 out of 22
Negative weights:   0 out of 22
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (73.995507008599498225 - 7.4817979113559102037e-277j)  +/-  (6.95e-119, 6.95e-119j)
| (47.16675784915352046 + 5.1399541605913044255e-274j)  +/-  (1.27e-116, 1.27e-116j)
| (54.297385256578884239 + 1.6816425084742551087e-281j)  +/-  (3.95e-117, 3.95e-117j)
| (62.857096246299029239 - 6.5099639174183014861e-285j)  +/-  (8.49e-118, 8.49e-118j)
| (22.673316601434590091 - 1.511880977096421943e-293j)  +/-  (2.11e-116, 2.11e-116j)
| (8.6788533136784274579 + 5.5222711855011708633e-305j)  +/-  (1.4e-118, 1.4e-118j)
| (30.81335794450655812 - 1.0589021621660907192e-311j)  +/-  (4.18e-116, 4.18e-116j)
| (10.867686893540571627 + 3.336489486425133744e-321j)  +/-  (5.89e-118, 5.89e-118j)
| (19.21700368490135428 - 3.8965522539039922516e-332j)  +/-  (1.14e-116, 1.14e-116j)
| (5.09534906896873815 + 7.2568513220849287702e-345j)  +/-  (4.36e-120, 4.36e-120j)
| (0.83458998544917840503 + 1.1428204810908685323e-351j)  +/-  (3.11e-124, 3.11e-124j)
| (41.016968598471685302 + 2.2672318030685353643e-351j)  +/-  (2.48e-116, 2.48e-116j)
| (26.522319587637137939 - 1.890472186242691235e-364j)  +/-  (3.47e-116, 3.47e-116j)
| (13.340451051495240572 - 3.9364267357285054283e-371j)  +/-  (2.01e-117, 2.01e-117j)
| (6.7588355158135488139 - 5.7515385612031479632e-376j)  +/-  (2.9e-119, 2.9e-119j)
| (2.5000062367361724359 + 1.7248790615305426667e-382j)  +/-  (5.98e-122, 5.98e-122j)
| (16.11581133876631156 - 2.0231266197904898199e-376j)  +/-  (5.74e-117, 5.74e-117j)
| (0.33896725481491102047 - 6.1918649436398774844e-394j)  +/-  (9.75e-126, 9.75e-126j)
| (0.06426762874480890845 - 8.635379049650952413e-396j)  +/-  (1.69e-127, 1.69e-127j)
| (35.613335203196170034 - 4.1139304863810451869e-383j)  +/-  (3.8e-116, 3.8e-116j)
| (3.678420344463637027 - 1.4428404970857060923e-398j)  +/-  (5.74e-121, 5.74e-121j)
| (1.5537133867500260922 + 4.0085892365553422576e-401j)  +/-  (4.47e-123, 4.47e-123j)
-------------------------------------------------
The weights are:
| (9.7802465066838228351e-32 - 1.1031065907963023369e-300j)  +/-  (3.04e-46, 1.09e-103j)
| (2.1607186468181997759e-20 - 5.4352662328306657622e-294j)  +/-  (1.27e-42, 4.58e-100j)
| (2.0311199675833294893e-23 - 5.1235366398008368327e-296j)  +/-  (6.94e-44, 2.5e-101j)
| (4.7979035209907997149e-27 + 3.8504451705676267074e-298j)  +/-  (3.05e-45, 1.1e-102j)
| (5.1864230257248612662e-10 + 4.8705951484559283137e-290j)  +/-  (4.87e-39, 1.75e-96j)
| (0.00034916737149230085876 - 1.5734903287571240485e-287j)  +/-  (2.26e-33, 8.13e-91j)
| (1.8804655096314732632e-13 + 1.6193267386812805905e-291j)  +/-  (2.79e-41, 1e-98j)
| (4.4382193140661427386e-05 + 6.6560683384750921818e-288j)  +/-  (2.08e-35, 7.47e-93j)
| (1.4761938263897437679e-08 - 2.096413175061030579e-289j)  +/-  (1.1e-38, 3.96e-96j)
| (0.0094249002569982649536 - 5.7303169141358726329e-287j)  +/-  (4.51e-33, 1.62e-90j)
| (0.26340970153563371832 - 1.113294825021225807e-286j)  +/-  (4.56e-33, 1.64e-90j)
| (8.8314023083271145433e-18 + 3.404683336166304802e-293j)  +/-  (1.35e-43, 4.84e-101j)
| (1.2305262515544128132e-11 - 9.6269444761573245863e-291j)  +/-  (1.06e-40, 3.81e-98j)
| (4.2142299011046203767e-06 - 2.4385413774030596905e-288j)  +/-  (4.16e-38, 1.5e-95j)
| (0.0020773357526546158086 + 3.2259906892020629062e-287j)  +/-  (2.15e-36, 7.73e-94j)
| (0.087125622172209880159 - 1.1494748312893949939e-286j)  +/-  (2.28e-35, 8.21e-93j)
| (2.9406682461301561655e-07 + 7.7128450033398917092e-289j)  +/-  (6.2e-39, 2.23e-96j)
| (0.27417508232856468307 + 7.1619212365340623754e-287j)  +/-  (5.11e-35, 1.83e-92j)
| (0.15470198763989337473 - 2.3288448729083027928e-287j)  +/-  (2.67e-35, 9.59e-93j)
| (1.7355641391268362786e-15 - 2.3673165827278207435e-292j)  +/-  (3.51e-43, 1.26e-100j)
| (0.03275268789653862031 + 8.7805493788751888616e-287j)  +/-  (1.33e-36, 4.82e-94j)
| (0.17593460926307254278 + 1.260992134362575005e-286j)  +/-  (3.86e-36, 1.36e-93j)
