Starting with polynomial:
P : t
Extension levels are: 1 34
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Trying to find an order 34 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 595/69*t^33 + 52360/1541*t^31 - 1623160/20033*t^29 + 23535820/180297*t^27 - 14121492/94001*t^25 + 706074600/5546059*t^23 - 369848600/4581527*t^21 + 176518650/4581527*t^19 - 176518650/12780049*t^17 + 47071640/12780049*t^15 - 9169800/12780049*t^13 + 59603700/600662303*t^11 - 16811300/1801986909*t^9 + 100867800/180799353203*t^7 - 20173560/1058967640189*t^5 + 4202825/13766579322457*t^3 - 741675/509363434930909*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:
| (-0.98793576444385149804 + 8.0669884258823274648e-437j)  +/-  (5.41e-116, 5.41e-116j)
| (-0.99770656909960029726 + 5.766623611147228295e-439j)  +/-  (2.02e-116, 2.02e-116j)
| (-0.91285426135931761446 + 7.9467369501051711841e-439j)  +/-  (3.59e-116, 3.59e-116j)
| (0.98793576444385149804 - 2.6011876679645317833e-436j)  +/-  (5.93e-116, 5.93e-116j)
| (0.87321912502522233152 + 6.12221181132220716e-447j)  +/-  (1.67e-116, 1.67e-116j)
| (0.91285426135931761446 + 3.064677029880274194e-446j)  +/-  (3.82e-116, 3.82e-116j)
| (0.99770656909960029726 - 5.7623397943421801299e-447j)  +/-  (1.97e-116, 1.97e-116j)
| (-0.87321912502522233152 - 7.7835411324349293691e-463j)  +/-  (1.61e-116, 1.61e-116j)
| (-0.088371343275659263601 + 3.3761651310007922724e-473j)  +/-  (9.69e-127, 9.69e-127j)
| (0.94534514820782732954 - 2.4496146611778438585e-463j)  +/-  (5.87e-116, 5.87e-116j)
| (0.82674989909222540683 - 6.5813564035763161033e-473j)  +/-  (5.84e-117, 5.84e-117j)
| (0.97043761603922983322 + 1.5347183227316193719e-482j)  +/-  (7.49e-116, 7.49e-116j)
| (-0.94534514820782732954 + 5.2544640513601165147e-492j)  +/-  (5.63e-116, 5.63e-116j)
| (-0.82674989909222540683 - 6.2231657896438680654e-494j)  +/-  (5.48e-117, 5.48e-117j)
| (-0.42813754151781425419 + 6.5450585673760665863e-503j)  +/-  (8.31e-122, 8.31e-122j)
| (0.77381025228691255527 + 1.1168702540132373376e-496j)  +/-  (1.63e-117, 1.63e-117j)
| (0.65022436466589038868 - 6.4630504751749115028e-499j)  +/-  (6.06e-119, 6.06e-119j)
| (-0.34660155443081394588 + 1.9895370670710557165e-502j)  +/-  (5.69e-123, 5.69e-123j)
| (-0.77381025228691255527 - 1.4067827094587537931e-496j)  +/-  (1.58e-117, 1.58e-117j)
| (-0.97043761603922983322 - 3.3648286631703871942e-497j)  +/-  (6.74e-116, 6.74e-116j)
| (0.42813754151781425419 - 1.887899540690349394e-503j)  +/-  (6.81e-122, 6.81e-122j)
| (0.71481450155662878326 + 6.349020412542717616e-500j)  +/-  (3.68e-118, 3.68e-118j)
| (0.17605106116598956997 - 3.7696825483384579388e-507j)  +/-  (2.07e-125, 2.07e-125j)
| (-0.71481450155662878326 - 6.652950207678026499e-500j)  +/-  (3.59e-118, 3.59e-118j)
| (-0.58054534474976450993 - 2.8780596486539627143e-502j)  +/-  (8e-120, 8e-120j)
| (0.088371343275659263601 + 6.4821362602891390162e-511j)  +/-  (9.69e-127, 9.69e-127j)
| (0.58054534474976450993 + 9.1071683285234569322e-505j)  +/-  (7.94e-120, 7.94e-120j)
| (0.34660155443081394588 - 3.6367119845205075905e-507j)  +/-  (5.43e-123, 5.43e-123j)
| (-0.17605106116598956997 + 3.4609206957687956004e-509j)  +/-  (1.78e-125, 1.78e-125j)
| (-0.65022436466589038868 + 1.1598288916790384501e-505j)  +/-  (5.81e-119, 5.81e-119j)
| (-0.26235294120929605797 - 1.4743698764192803321e-511j)  +/-  (3.76e-124, 3.76e-124j)
| (0.26235294120929605797 + 4.1021818958933094131e-512j)  +/-  (3.46e-124, 3.46e-124j)
| (0.50632277324148861502 - 1.9986311177597677395e-509j)  +/-  (7.41e-121, 7.41e-121j)
| (-7.9071345411534635523e-520 - 2.1245506734256314657e-520j)  +/-  (2.87e-518, 2.87e-518j)
| (-0.50632277324148861502 + 1.303189685939899801e-508j)  +/-  (7.71e-121, 7.71e-121j)
-------------------------------------------------
The weights are:
| (0.013650828348361492266 + 4.6038612273368827401e-437j)  +/-  (5.79e-23, 1.58e-77j)
| (0.0058834334204430849758 + 3.2542587362229863755e-437j)  +/-  (3.53e-23, 9.61e-78j)
| (0.036110115863463380533 - 7.0146116238789318819e-437j)  +/-  (7.86e-24, 2.14e-78j)
| (0.013650828348361492266 + 1.4681852155894905165e-436j)  +/-  (7.05e-24, 1.92e-78j)
| (0.043108422326170218782 + 1.763439959157988072e-436j)  +/-  (3.17e-24, 8.63e-79j)
| (0.036110115863463380533 - 2.0523150161005064873e-436j)  +/-  (2.81e-24, 7.65e-79j)
| (0.0058834334204430849758 + 1.0412185666078277077e-436j)  +/-  (5.97e-25, 1.63e-79j)
| (0.043108422326170218782 + 6.2873966576949579529e-437j)  +/-  (4.76e-26, 1.3e-80j)
| (0.088140530430275462971 - 7.3582253280705967317e-437j)  +/-  (9.85e-28, 2.68e-82j)
| (0.028829260108894254049 + 2.568163052301986948e-436j)  +/-  (5.06e-25, 1.38e-79j)
| (0.049769370401353529805 - 1.5694005025878271515e-436j)  +/-  (2.45e-26, 6.67e-81j)
| (0.021322979911483580883 - 3.9633679717109221324e-436j)  +/-  (5.27e-25, 1.44e-79j)
| (0.028829260108894254049 + 8.4673640308005891415e-437j)  +/-  (2.15e-27, 5.86e-82j)
| (0.049769370401353529805 - 5.9941752551586388042e-437j)  +/-  (2.95e-28, 8.04e-83j)
| (0.079964942242324262933 - 6.2711063354488768378e-437j)  +/-  (4.25e-30, 1.16e-84j)
| (0.056040816212370128578 + 1.4251951349710714446e-436j)  +/-  (6.81e-28, 1.86e-82j)
| (0.067222285269086903964 + 1.2165972434510538821e-436j)  +/-  (2.92e-29, 7.94e-84j)
| (0.08300059372885658838 + 6.4936530435611601929e-437j)  +/-  (2.84e-30, 7.73e-85j)
| (0.056040816212370128578 + 5.848668788128095689e-437j)  +/-  (1.57e-29, 4.27e-84j)
| (0.021322979911483580883 - 1.2549436057905476383e-436j)  +/-  (2.07e-28, 5.63e-83j)
| (0.079964942242324262933 - 1.0038361410819722225e-436j)  +/-  (1.95e-31, 5.3e-86j)
| (0.061873671966080188887 - 1.3110000905046237374e-436j)  +/-  (2.44e-29, 6.65e-84j)
| (0.087104446997183534243 + 8.5154763439652395901e-437j)  +/-  (3.08e-32, 8.39e-87j)
| (0.061873671966080188887 - 5.8083765269589539649e-437j)  +/-  (2.58e-31, 7.03e-86j)
| (0.072044794772560064665 - 5.9408270992186761295e-437j)  +/-  (4.91e-32, 1.34e-86j)
| (0.088140530430275462971 - 8.094874272189343997e-437j)  +/-  (1.07e-32, 2.93e-87j)
| (0.072044794772560064665 - 1.1361336786584563607e-436j)  +/-  (4.12e-32, 1.12e-86j)
| (0.08300059372885658838 + 9.4805732274504751878e-437j)  +/-  (5.56e-33, 1.51e-87j)
| (0.087104446997183534243 + 7.0383530271316217553e-437j)  +/-  (2.89e-33, 7.87e-88j)
| (0.067222285269086903964 + 5.8448764651274198512e-437j)  +/-  (4.73e-33, 1.28e-87j)
| (0.085386653392099125226 - 6.7499595872520198124e-437j)  +/-  (2.2e-33, 5.99e-88j)
| (0.085386653392099125226 - 8.9755442526458099431e-437j)  +/-  (9.72e-34, 2.65e-88j)
| (0.076303457155442053539 + 1.0659974397892347726e-436j)  +/-  (1.03e-33, 2.78e-88j)
| (0.088486794907104290638 + 7.7099454783995864233e-437j)  +/-  (5.57e-34, 1.55e-88j)
| (0.076303457155442053539 + 6.085277200664857068e-437j)  +/-  (3e-34, 7.47e-89j)
