Starting with polynomial:
P : t
Extension levels are: 1 2 22
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^25 - 1279876267/4538860*t^23 + 151558958551/4538860*t^21 - 1976989970571/907772*t^19 + 78324605791047/907772*t^17 - 981007308626499/453886*t^15 + 15693999623658279/453886*t^13 - 158455566430788627/453886*t^11 + 976491567253807605/453886*t^9 - 6908808922367547195/907772*t^7 + 12611939144079730455/907772*t^5 - 9741254137443283455/907772*t^3 + 2004277263248975715/907772*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: 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
-------------------------------------------------
The nodes are:
| (4.3244279353485320892 + 9.4093584973011816734e-374j)  +/-  (8.28e-122, 8.28e-122j)
| (6.5845533165298368182 - 3.799765261756223875e-377j)  +/-  (1.5e-121, 1.5e-121j)
| (-7.4757846628120922148 - 4.7725322447300653464e-378j)  +/-  (6.31e-122, 6.31e-122j)
| (8.5410624929325197932 + 3.7464323195716361619e-390j)  +/-  (1.15e-122, 1.15e-122j)
| (-8.5410624929325197932 + 2.9000757835193679983e-388j)  +/-  (1.13e-122, 1.13e-122j)
| (7.4757846628120922148 - 6.6936729460556123281e-395j)  +/-  (5.74e-122, 5.74e-122j)
| (5.7813670454767714876 - 4.0476622827845425984e-394j)  +/-  (1.9e-121, 1.9e-121j)
| (-1.1343477555180864984 - 1.5036323702357504643e-396j)  +/-  (3.63e-125, 3.63e-125j)
| (-5.0335463007921780618 - 3.7243488952439760224e-396j)  +/-  (1.64e-121, 1.64e-121j)
| (5.0335463007921780618 - 3.4415006830442938312e-404j)  +/-  (1.48e-121, 1.48e-121j)
| (1.7320508075688772935 + 7.1441455285799049284e-408j)  +/-  (2.81e-124, 2.81e-124j)
| (3.6443040020753059138 + 9.7227735081867686349e-405j)  +/-  (3.34e-122, 3.34e-122j)
| (-2.3501569761688990963 + 5.0133448281488798513e-406j)  +/-  (2.05e-123, 2.05e-123j)
| (-2.987289393277873772 - 6.9913430222352673234e-405j)  +/-  (1e-122, 1e-122j)
| (2.987289393277873772 - 6.6441196635700860771e-412j)  +/-  (9.49e-123, 9.49e-123j)
| (-1.7320508075688772935 + 4.448468244903094311e-416j)  +/-  (3.18e-124, 3.18e-124j)
| (1.1343477555180864984 + 2.445547268079837538e-415j)  +/-  (3.4e-125, 3.4e-125j)
| (-7.3231335604009965623e-417 - 1.1594190452150977659e-417j)  +/-  (1.85e-415, 1.85e-415j)
| (-3.6443040020753059138 + 2.5783339989290858672e-418j)  +/-  (3.61e-122, 3.61e-122j)
| (-6.5845533165298368182 + 1.4223060504311687598e-437j)  +/-  (1.51e-121, 1.51e-121j)
| (2.3501569761688990963 + 1.0183633383990421241e-450j)  +/-  (1.91e-123, 1.91e-123j)
| (0.55868450036735412747 + 3.145949012795106603e-457j)  +/-  (3.09e-126, 3.09e-126j)
| (-4.3244279353485320892 + 6.0602983841783975996e-470j)  +/-  (8.8e-122, 8.8e-122j)
| (-5.7813670454767714876 + 1.2913877396184477616e-489j)  +/-  (1.92e-121, 1.92e-121j)
| (-0.55868450036735412747 + 2.552772069654602074e-501j)  +/-  (3.62e-126, 3.62e-126j)
-------------------------------------------------
The weights are:
| (2.404816161909029564e-05 - 5.3581613400344680437e-378j)  +/-  (1.68e-37, 2.65e-97j)
| (1.2889594854448335483e-10 - 1.5723511883826738135e-381j)  +/-  (4.09e-42, 6.44e-102j)
| (2.7867174059376796384e-13 - 1.240449307331279393e-383j)  +/-  (5.45e-45, 8.59e-105j)
| (7.0451234372221445699e-17 - 4.8537598862171632504e-385j)  +/-  (1.77e-45, 2.79e-105j)
| (7.0451234372221445699e-17 + 1.5908054799000008096e-385j)  +/-  (1.1e-46, 1.74e-106j)
| (2.7867174059376796384e-13 + 4.6448609647471595936e-383j)  +/-  (6.73e-44, 1.06e-103j)
| (1.7001204221299340435e-08 + 3.1667226615258277041e-380j)  +/-  (7.14e-42, 1.13e-101j)
| (0.12300747315669877234 + 7.1588095222480538e-377j)  +/-  (1.91e-32, 3.01e-92j)
| (9.1270872159529239353e-07 + 4.1068101204088716665e-380j)  +/-  (7.73e-44, 1.22e-103j)
| (9.1270872159529239353e-07 - 5.41959663387359407e-379j)  +/-  (3.78e-41, 5.96e-101j)
| (0.054147228347497230886 - 8.2342087404207026661e-377j)  +/-  (1.39e-36, 2.19e-96j)
| (0.00034805979505791089445 + 1.4692483137821604249e-377j)  +/-  (5.82e-40, 9.18e-100j)
| (0.015823017276083571463 + 1.423748862869016845e-377j)  +/-  (5.6e-40, 8.82e-100j)
| (0.0029773899101820083118 - 4.7085087553878202038e-378j)  +/-  (1.18e-41, 1.85e-101j)
| (0.0029773899101820083118 - 2.574697003988228077e-377j)  +/-  (1.68e-40, 2.64e-100j)
| (0.054147228347497230886 - 3.5245199673699870854e-377j)  +/-  (3.58e-39, 5.65e-99j)
| (0.12300747315669877234 + 1.2249951867769204784e-376j)  +/-  (3.35e-38, 5.28e-98j)
| (0.22148392354209769917 + 1.5121525609026144809e-376j)  +/-  (3.28e-39, 5.16e-99j)
| (0.00034805979505791089445 + 1.2539908766215466652e-378j)  +/-  (2.42e-43, 3.81e-103j)
| (1.2889594854448335483e-10 + 3.2576399612974559703e-382j)  +/-  (6.49e-48, 1.03e-107j)
| (0.015823017276083571463 + 4.8133863597151717481e-377j)  +/-  (5.68e-42, 8.8e-102j)
| (0.1929298917427120589 - 1.521491903418873738e-376j)  +/-  (3.15e-41, 4.06e-101j)
| (2.404816161909029564e-05 - 2.6162769983046479517e-379j)  +/-  (3.88e-45, 5.99e-105j)
| (1.7001204221299340435e-08 - 4.5654390283132876874e-381j)  +/-  (5.36e-47, 8.55e-107j)
| (0.1929298917427120589 - 1.1733394833182232055e-376j)  +/-  (1.43e-41, 1.32e-101j)
