Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 20
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Trying to find an order 20 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1024*t^30 - 15801325217280/90446489*t^28 + 15000076105102080/1175804357*t^26 - 617480697697603200/1175804357*t^24 + 1921096776460392000/142130197*t^22 - 421573787180200896480/1847692561*t^20 + 4765643597559987543600/1847692561*t^18 - 36219180067063843228200/1847692561*t^16 + 183302574867543432487500/1847692561*t^14 - 46435083211026270002250/142130197*t^12 + 8693651240836419512475/12920927*t^10 - 20999445685393754305125/25841854*t^8 + 26771564505690036293625/51683708*t^6 - 15034567253335707616875/103367416*t^4 + 2726884722974218419375/206734832*t^2 - 99673906355990591625/413469664
-------------------------------------------------
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:   30 out of 30
Indefinite weights: 0 out of 30
Negative weights:   0 out of 30
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.4427645104308417101 + 7.4969215893095723084e-479j)  +/-  (4.77e-121, 4.77e-121j)
| (3.9246623651132839931 + 3.1685868576174256114e-486j)  +/-  (5.19e-121, 5.19e-121j)
| (-5.001375849277898632 - 4.9256505052924383987e-490j)  +/-  (3.44e-121, 3.44e-121j)
| (5.001375849277898632 + 2.3541663843567115881e-489j)  +/-  (3.42e-121, 3.42e-121j)
| (5.6231049257958587609 + 4.8056111061200697608e-493j)  +/-  (1.22e-121, 1.22e-121j)
| (-4.4427645104308417101 + 2.7243432251175864159e-494j)  +/-  (5.06e-121, 5.06e-121j)
| (-3.9246623651132839931 + 3.65534672769317149e-494j)  +/-  (5.03e-121, 5.03e-121j)
| (6.3683296473639025459 - 2.9457313236484782524e-497j)  +/-  (1.95e-122, 1.95e-122j)
| (-1.7566836492998817735 + 7.5665688187589064939e-498j)  +/-  (1.09e-122, 1.09e-122j)
| (2.9721943371862299921 - 4.5674667275512351424e-495j)  +/-  (2.24e-121, 2.24e-121j)
| (0.65430402004336744429 + 2.4971927882950701292e-506j)  +/-  (2.65e-125, 2.65e-125j)
| (2.5327316742327897964 + 3.441152228456393106e-501j)  +/-  (1.19e-121, 1.19e-121j)
| (1.7566836492998817735 + 2.773891559962832356e-505j)  +/-  (1.11e-122, 1.11e-122j)
| (-0.65430402004336744429 - 4.0078043935428382736e-513j)  +/-  (2.77e-125, 2.77e-125j)
| (-0.34290132722370460879 + 2.5545556780241976459e-513j)  +/-  (4.3e-126, 4.3e-126j)
| (2.1245904786044431893 - 1.2804099256923289829e-508j)  +/-  (4.07e-122, 4.07e-122j)
| (-5.6231049257958587609 + 7.5265488139206911127e-518j)  +/-  (1.2e-121, 1.2e-121j)
| (-2.5327316742327897964 - 2.5671232134593162926e-516j)  +/-  (1.11e-121, 1.11e-121j)
| (3.4361591188377376033 - 7.3119473631106397414e-522j)  +/-  (4.31e-121, 4.31e-121j)
| (-2.1245904786044431893 + 1.6232830641767059494e-531j)  +/-  (3.59e-122, 3.59e-122j)
| (1.4067712862209713748 - 4.4932043154956268397e-532j)  +/-  (2.26e-123, 2.26e-123j)
| (0.34290132722370460879 + 8.4818110435287230097e-534j)  +/-  (4.3e-126, 4.3e-126j)
| (-3.4361591188377376033 - 2.5806829643092962245e-534j)  +/-  (4.37e-121, 4.37e-121j)
| (-1.4067712862209713748 - 5.231415525281069257e-537j)  +/-  (2.41e-123, 2.41e-123j)
| (-0.1555520334191973571 - 2.8091971892737270805e-539j)  +/-  (7.59e-127, 7.59e-127j)
| (-6.3683296473639025459 + 4.0413810221226315974e-540j)  +/-  (2e-122, 2e-122j)
| (1.0366108297895136542 - 1.0216733690017592152e-539j)  +/-  (2.82e-124, 2.82e-124j)
| (-2.9721943371862299921 + 3.4862378552038924031e-540j)  +/-  (2.37e-121, 2.37e-121j)
| (0.1555520334191973571 - 5.3571173374090754245e-545j)  +/-  (8.07e-127, 8.07e-127j)
| (-1.0366108297895136542 + 1.1586810245904169988e-549j)  +/-  (2.59e-124, 2.59e-124j)
-------------------------------------------------
The weights are:
| (8.0970685739737782045e-10 - 3.2553557259324278055e-487j)  +/-  (3.22e-39, 1.1e-98j)
| (5.7909447094024686602e-08 + 1.6558944748677135976e-486j)  +/-  (6.51e-38, 2.23e-97j)
| (4.5196377496069524745e-12 - 2.9778270740003341318e-490j)  +/-  (5.68e-43, 1.95e-102j)
| (4.5196377496069524745e-12 - 5.0344520672459433706e-489j)  +/-  (3.33e-41, 1.14e-100j)
| (6.974298225641972083e-15 + 5.9090577748789660211e-491j)  +/-  (3.77e-43, 1.29e-102j)
| (8.0970685739737782045e-10 + 6.8316781447006405525e-489j)  +/-  (1.72e-42, 5.89e-102j)
| (5.7909447094024686602e-08 - 1.0253125264883661109e-487j)  +/-  (2.06e-41, 7.05e-101j)
| (1.1791837741920045428e-18 - 2.9372204228212379245e-493j)  +/-  (8.77e-46, 3.01e-105j)
| (0.0090471320491955487848 + 1.6439498270193240608e-483j)  +/-  (7.23e-35, 2.48e-94j)
| (3.7171933357337079546e-05 + 4.9135628064078500597e-485j)  +/-  (1.56e-38, 5.34e-98j)
| (0.13773993386820801325 + 6.3963704345545264232e-482j)  +/-  (7.75e-35, 2.66e-94j)
| (0.00039315679527151421361 - 2.5259240463664050579e-484j)  +/-  (1.2e-37, 4.13e-97j)
| (0.0090471320491955487848 - 3.7942198818867310883e-483j)  +/-  (5.35e-36, 1.84e-95j)
| (0.13773993386820801325 - 4.754183068752538072e-482j)  +/-  (3.26e-35, 1.12e-94j)
| (0.10031810726721028187 + 1.6341417677838035101e-481j)  +/-  (3.75e-35, 1.29e-94j)
| (0.0024012020479516419842 + 1.1220659404073417074e-483j)  +/-  (6.94e-37, 2.38e-96j)
| (6.974298225641972083e-15 + 6.9290578588826759552e-492j)  +/-  (3.37e-48, 1.16e-107j)
| (0.00039315679527151421361 + 6.9164946032204566067e-485j)  +/-  (2.02e-41, 6.92e-101j)
| (2.0000325540515823195e-06 - 8.81881646879931275e-486j)  +/-  (2.28e-41, 7.81e-101j)
| (0.0024012020479516419842 - 3.9607181915260582168e-484j)  +/-  (2.29e-40, 7.87e-100j)
| (0.027841467652058763559 + 9.6119559645239851702e-483j)  +/-  (5.71e-38, 1.96e-97j)
| (0.10031810726721028187 - 1.9074920414704351862e-481j)  +/-  (3.7e-37, 1.29e-96j)
| (2.0000325540515823195e-06 + 1.1266856366048383119e-486j)  +/-  (6.11e-44, 2.09e-103j)
| (0.027841467652058763559 - 4.9887435297288551167e-483j)  +/-  (8.84e-40, 3.02e-99j)
| (0.14878987130898397813 - 2.2509521649489026688e-481j)  +/-  (3.99e-38, 1.56e-97j)
| (1.1791837741920045428e-18 - 5.2314861435299181805e-494j)  +/-  (2.5e-51, 8.59e-111j)
| (0.073429898321528304895 - 2.2384141338245498655e-482j)  +/-  (1.38e-39, 5.54e-99j)
| (3.7171933357337079546e-05 - 9.7448142066986317694e-486j)  +/-  (4.56e-43, 1.56e-102j)
| (0.14878987130898397813 + 2.4142938125407242826e-481j)  +/-  (1.19e-38, 5.75e-98j)
| (0.073429898321528304895 + 1.3914693171336818614e-482j)  +/-  (8.49e-40, 2.57e-99j)
