Starting with polynomial:
P : t
Extension levels are: 1 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^31 - 465/61*t^29 + 94395/3599*t^27 - 3681405/68381*t^25 + 55221075/752191*t^23 - 254016945/3624193*t^21 + 2963531025/61611281*t^19 - 544322025/22698893*t^17 + 544322025/62755763*t^15 - 20160075/8965109*t^13 + 157248585/385499687*t^11 - 786242925/15805487167*t^9 + 60480225/15805487167*t^7 - 97698825/584803025179*t^5 + 13956975/4093621176253*t^3 - 930465/45029832938783*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:
| (-0.99708748181947707406 + 1.3586980647567756051e-407j)  +/-  (7.43e-118, 7.43e-118j)
| (-0.96250392509294966179 - 2.426619732719709728e-423j)  +/-  (2.38e-117, 2.38e-117j)
| (-0.93075699789664816496 - 1.7098918364675249922e-434j)  +/-  (1.85e-117, 1.85e-117j)
| (0.99708748181947707406 - 3.3265442611788042937e-443j)  +/-  (6.99e-118, 6.99e-118j)
| (0.88976002994827104337 + 5.573998588667891479e-444j)  +/-  (8.8e-118, 8.8e-118j)
| (0.93075699789664816496 - 1.3990603263474390063e-443j)  +/-  (1.84e-117, 1.84e-117j)
| (0.984685909665152484 - 7.8780358771346586516e-445j)  +/-  (2.04e-117, 2.04e-117j)
| (-0.88976002994827104337 + 1.0632073395343259322e-444j)  +/-  (9.15e-118, 9.15e-118j)
| (-0.984685909665152484 + 7.5750908105089337917e-456j)  +/-  (2.11e-117, 2.11e-117j)
| (0.96250392509294966179 + 2.2050729770591226238e-465j)  +/-  (2.42e-117, 2.42e-117j)
| (0.83992032014626734009 + 1.4688989572812474997e-468j)  +/-  (3.64e-118, 3.64e-118j)
| (0.29471806998170161662 - 1.5057778749945199406e-474j)  +/-  (3.19e-124, 3.19e-124j)
| (-0.78173314841662494041 + 3.037786155538374621e-466j)  +/-  (1.13e-118, 1.13e-118j)
| (-0.83992032014626734009 + 4.2413270493430704142e-468j)  +/-  (3.65e-118, 3.65e-118j)
| (2.503806755697861942e-475 + 2.7075460476157189737e-475j)  +/-  (1.14e-473, 1.14e-473j)
| (0.71577678458685328391 - 1.5272073830845910989e-469j)  +/-  (2.57e-119, 2.57e-119j)
| (0.64270672292426034618 + 5.992658840782249791e-471j)  +/-  (4.37e-120, 4.37e-120j)
| (-0.099555312152341520325 + 1.0121945567098131121e-478j)  +/-  (8.96e-127, 8.96e-127j)
| (-0.71577678458685328391 + 6.4821471749849622761e-472j)  +/-  (2.41e-119, 2.41e-119j)
| (-0.38838590160823294306 + 1.15478541357398924e-474j)  +/-  (4.69e-123, 4.69e-123j)
| (0.38838590160823294306 - 2.5297929332731459625e-474j)  +/-  (4.4e-123, 4.4e-123j)
| (0.78173314841662494041 + 3.4865804489025794671e-474j)  +/-  (1.15e-118, 1.15e-118j)
| (0.099555312152341520325 - 7.6646511499573035117e-481j)  +/-  (9.96e-127, 9.96e-127j)
| (-0.47819378204490248044 - 2.7930787848986601531e-475j)  +/-  (6.52e-122, 6.52e-122j)
| (-0.56324916140714926272 + 3.7010867640263530947e-472j)  +/-  (6.21e-121, 6.21e-121j)
| (0.19812119933557062877 + 1.0839075390126208876e-479j)  +/-  (1.72e-125, 1.72e-125j)
| (0.56324916140714926272 - 1.8640173615551709501e-475j)  +/-  (5.84e-121, 5.84e-121j)
| (0.47819378204490248044 + 4.3747283560449831269e-477j)  +/-  (6.48e-122, 6.48e-122j)
| (-0.29471806998170161662 + 1.2918708074620302649e-478j)  +/-  (3.08e-124, 3.08e-124j)
| (-0.64270672292426034618 - 3.5599845095589995953e-477j)  +/-  (4.37e-120, 4.37e-120j)
| (-0.19812119933557062877 - 2.5248199389418758929e-483j)  +/-  (1.7e-125, 1.7e-125j)
-------------------------------------------------
The weights are:
| (0.0074708315792487758587 + 1.7400408019775793773e-407j)  +/-  (1.55e-25, 2.55e-81j)
| (0.027009019184979421801 + 1.984986165620487793e-407j)  +/-  (8.72e-26, 1.44e-81j)
| (0.036432273912385464024 - 1.6201539698213228424e-407j)  +/-  (6.23e-26, 1.03e-81j)
| (0.0074708315792487758587 + 5.090127292705739626e-410j)  +/-  (1.48e-27, 2.44e-83j)
| (0.045493707527201102902 + 7.9448608932045877075e-409j)  +/-  (9.99e-28, 1.65e-83j)
| (0.036432273912385464024 - 5.5743913981881458419e-409j)  +/-  (9.67e-28, 1.6e-83j)
| (0.017318620790310582463 - 1.7826608078333050465e-409j)  +/-  (6.52e-28, 1.08e-83j)
| (0.045493707527201102902 + 1.3967294244228398466e-407j)  +/-  (1.25e-28, 2.06e-84j)
| (0.017318620790310582463 - 2.8486950775628839254e-407j)  +/-  (5.65e-28, 9.33e-84j)
| (0.027009019184979421801 + 3.5031732338667127087e-409j)  +/-  (2.48e-28, 4.1e-84j)
| (0.054103082424916853712 - 1.0581376748498220166e-408j)  +/-  (1.69e-29, 2.79e-85j)
| (0.095290242912319512807 + 3.5161760871536777621e-408j)  +/-  (2.12e-32, 3.5e-88j)
| (0.06217478656102842691 + 1.1118426280786252462e-407j)  +/-  (1.22e-30, 2.02e-86j)
| (0.054103082424916853712 - 1.2367769090942048056e-407j)  +/-  (5.96e-30, 9.84e-86j)
| (0.099720544793426451428 - 4.8767851171485702411e-408j)  +/-  (7.46e-33, 1.23e-88j)
| (0.069628583235410366168 - 1.6565538582630590482e-408j)  +/-  (3.47e-32, 5.73e-88j)
| (0.076390386598776616426 + 1.9883691154581361459e-408j)  +/-  (1.17e-32, 1.93e-88j)
| (0.099225011226672307875 + 5.3773979579258345623e-408j)  +/-  (1.75e-33, 2.89e-89j)
| (0.069628583235410366168 - 1.0086541098897356688e-407j)  +/-  (5.76e-33, 9.51e-89j)
| (0.091890113893641478215 - 7.0664024769605860173e-408j)  +/-  (2.4e-34, 3.95e-90j)
| (0.091890113893641478215 - 3.1045925570168048732e-408j)  +/-  (5.84e-34, 9.64e-90j)
| (0.06217478656102842691 + 1.3460611145878537304e-408j)  +/-  (1.05e-32, 1.73e-88j)
| (0.099225011226672307875 + 4.4010571927989401273e-408j)  +/-  (3.81e-34, 6.29e-90j)
| (0.087576740608477876126 + 7.7127785899810880841e-408j)  +/-  (3.9e-35, 6.44e-91j)
| (0.082392991761589263904 - 8.418268333053225337e-408j)  +/-  (3.05e-35, 5.04e-91j)
| (0.097743335386328725093 - 3.9480181758457520613e-408j)  +/-  (7.03e-35, 1.16e-90j)
| (0.082392991761589263904 - 2.3406278447962142845e-408j)  +/-  (2.53e-35, 4.18e-91j)
| (0.087576740608477876126 + 2.7127791263438168424e-408j)  +/-  (1.75e-35, 2.88e-91j)
| (0.095290242912319512807 + 6.4669897548795455247e-408j)  +/-  (1.52e-36, 2.52e-92j)
| (0.076390386598776616426 + 9.2006015297905947539e-408j)  +/-  (1.05e-36, 1.77e-92j)
| (0.097743335386328725093 - 5.906013433331346211e-408j)  +/-  (1.54e-36, 2.53e-92j)
