Starting with polynomial:
P : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Extension levels are: 14 23
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Trying to find an order 23 Kronrod extension for:
P1 : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16384*t^37 - 41208902093683936256/9818924445075*t^35 + 4669335703183437814528/9818924445075*t^33 - 2519092859986186363264/79828654025*t^31 + 896014689585029193088448/654594963005*t^29 - 26860851515386090303607968/654594963005*t^27 + 573904804496339456729941968/654594963005*t^25 - 8886030975334879131088744344/654594963005*t^23 + 100430344383263970526477034316/654594963005*t^21 - 165698194388786505894788542818/130918992601*t^19 + 991175151168988506473167308663/130918992601*t^17 - 8485030911728304861728778933417/261837985202*t^15 + 50889935260842279141829487335137/523675970404*t^13 - 207255404835193770890404032193731/1047351940808*t^11 + 547450487221425378183604960263315/2094703881616*t^9 - 875167210762521393283778693086605/4189407763232*t^7 + 757713236737960257360759158450445/8378815526464*t^5 - 291017635011143977483922074044345/16757631052928*t^3 + 7867173324775652851201622899515/8378815526464*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: 0
  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:
| (-6.3917632009255505655 - 7.4034734059401299408e-471j)  +/-  (1.86e-120, 1.86e-120j)
| (2.360668761444322217e-483 + 9.9452907745581419082e-484j)  +/-  (9.48e-482, 9.48e-482j)
| (-4.7659980355557052592 - 1.0044760464831794174e-471j)  +/-  (2.44e-119, 2.44e-119j)
| (7.1130144878744974532 - 8.2925373655736523201e-479j)  +/-  (2.16e-121, 2.16e-121j)
| (6.3917632009255505655 + 2.6265329069589199132e-476j)  +/-  (2.12e-120, 2.12e-120j)
| (5.7934983166955483837 + 1.7240187572686315133e-475j)  +/-  (6.48e-120, 6.48e-120j)
| (-5.7934983166955483837 + 6.9410577393829136315e-476j)  +/-  (6.97e-120, 6.97e-120j)
| (-4.3044485704736318126 + 8.4054083254232011446e-478j)  +/-  (2.7e-119, 2.7e-119j)
| (5.2589056355268226115 + 1.6290863113374556692e-482j)  +/-  (1.44e-119, 1.44e-119j)
| (2.7484707249854025686 + 1.8444229982814756655e-482j)  +/-  (5.78e-120, 5.78e-120j)
| (4.7659980355557052592 + 3.1158166902767417613e-482j)  +/-  (2.29e-119, 2.29e-119j)
| (2.0951832585077168157 - 1.6651863168327350195e-484j)  +/-  (5.78e-121, 5.78e-121j)
| (-1.4766827311411408706 + 1.7259040807642571799e-486j)  +/-  (2.88e-122, 2.88e-122j)
| (-1.1822427224107669911 + 6.348744319872701828e-487j)  +/-  (4.16e-123, 4.16e-123j)
| (1.7751998201944147419 + 2.758041710130674724e-485j)  +/-  (1.31e-121, 1.31e-121j)
| (0.58057108286628748512 - 7.3914878095869313171e-489j)  +/-  (3.59e-125, 3.59e-125j)
| (1.4766827311411408706 - 1.0058669260428949154e-487j)  +/-  (3.05e-122, 3.05e-122j)
| (3.8698482820972258595 - 1.6415036729513913358e-482j)  +/-  (2.3e-119, 2.3e-119j)
| (-0.87871378732939941611 + 1.6117915375536831836e-489j)  +/-  (4.53e-124, 4.53e-124j)
| (-2.4235718030340130373 - 2.6346973994203914432e-485j)  +/-  (2.07e-120, 2.07e-120j)
| (-3.0882007170522458463 - 4.7339364636828072011e-485j)  +/-  (1.19e-119, 1.19e-119j)
| (-5.2589056355268226115 - 6.0804244748519887904e-495j)  +/-  (1.52e-119, 1.52e-119j)
| (4.3044485704736318126 - 1.4544990382992092616e-497j)  +/-  (2.66e-119, 2.66e-119j)
| (-3.8698482820972258595 + 6.7354840394709447555e-506j)  +/-  (2.39e-119, 2.39e-119j)
| (-2.0951832585077168157 - 5.6390882593116551388e-512j)  +/-  (5.64e-121, 5.64e-121j)
| (-2.7484707249854025686 - 2.6442656915092395671e-517j)  +/-  (5.65e-120, 5.65e-120j)
| (1.1822427224107669911 - 1.0174698741565796958e-522j)  +/-  (4.21e-123, 4.21e-123j)
| (3.0882007170522458463 + 2.5049327544196215453e-518j)  +/-  (1.29e-119, 1.29e-119j)
| (-0.58057108286628748512 + 2.2629620708131784011e-526j)  +/-  (3.57e-125, 3.57e-125j)
| (-0.29174551067256207845 - 7.3984851005822296464e-528j)  +/-  (2.99e-126, 2.99e-126j)
| (-7.1130144878744974532 + 2.5298763803841567922e-523j)  +/-  (2.04e-121, 2.04e-121j)
| (0.87871378732939941611 - 1.2157112281967304556e-526j)  +/-  (4.49e-124, 4.49e-124j)
| (0.29174551067256207845 + 7.9285906923035118744e-528j)  +/-  (2.99e-126, 2.99e-126j)
| (2.4235718030340130373 + 4.8290088571046088205e-522j)  +/-  (2.23e-120, 2.23e-120j)
| (-3.4626569336022705502 + 6.2142797936806197364e-528j)  +/-  (1.87e-119, 1.87e-119j)
| (-1.7751998201944147419 + 1.8416460145148088004e-533j)  +/-  (1.31e-121, 1.31e-121j)
| (3.4626569336022705502 - 1.0679993578585261035e-533j)  +/-  (1.92e-119, 1.92e-119j)
-------------------------------------------------
The weights are:
| (6.5629809003078093456e-19 - 5.2001032430876400719e-487j)  +/-  (6.74e-37, 7.65e-97j)
| (0.16566378824471353592 - 3.3701569000996263476e-475j)  +/-  (9.46e-23, 1.07e-82j)
| (3.6662526616653535265e-11 - 2.2654809113937499638e-481j)  +/-  (2.22e-32, 2.52e-92j)
| (4.996877444033304044e-23 - 3.1339667111746262915e-490j)  +/-  (1.12e-39, 1.27e-99j)
| (6.5629809003078093456e-19 + 7.0211466672678157596e-488j)  +/-  (3.29e-38, 3.74e-98j)
| (8.3869378477526336747e-16 - 4.7818119455916703319e-486j)  +/-  (4.08e-37, 4.63e-97j)
| (8.3869378477526336747e-16 + 4.9919685833275007421e-485j)  +/-  (1.16e-37, 1.32e-97j)
| (2.2684038106290542423e-09 + 1.2477472907726444559e-480j)  +/-  (9.44e-34, 1.07e-93j)
| (2.8137131974442304425e-13 + 1.6892305104813458125e-484j)  +/-  (1.5e-36, 1.7e-96j)
| (9.6731565451338287688e-05 + 3.5167678583312790097e-478j)  +/-  (2.73e-30, 3.1e-90j)
| (3.6662526616653535265e-11 - 3.8432266067404094017e-483j)  +/-  (6.56e-36, 7.45e-96j)
| (0.0022934747582054889109 + 5.1311777032301134103e-477j)  +/-  (1.38e-27, 1.56e-87j)
| (0.018584701191274421935 + 7.6319949010514648346e-476j)  +/-  (3.23e-25, 3.67e-85j)
| (0.041839009239921379207 - 1.3302806001996104131e-475j)  +/-  (7.36e-23, 8.35e-83j)
| (0.0074667556562982206637 - 1.6074554137373445038e-476j)  +/-  (1.39e-26, 1.58e-86j)
| (0.11751266168764812939 - 2.2137587693695976535e-475j)  +/-  (1.76e-23, 1.99e-83j)
| (0.018584701191274421935 + 4.0182726414755642341e-476j)  +/-  (2.45e-25, 2.78e-85j)
| (7.4515533518023722202e-08 - 8.0614498811143439612e-481j)  +/-  (6.49e-35, 7.37e-95j)
| (0.079156899877688029556 + 2.041531625085116092e-475j)  +/-  (2.92e-24, 3.31e-84j)
| (0.0005178668369149927584 - 4.4500038231918185308e-477j)  +/-  (5.11e-32, 5.81e-92j)
| (1.4489982715357566474e-05 - 2.9877249837885406671e-478j)  +/-  (1.02e-34, 1.16e-94j)
| (2.8137131974442304425e-13 - 3.4630263618124376565e-483j)  +/-  (2.92e-40, 3.31e-100j)
| (2.2684038106290542423e-09 + 6.3246433290393875565e-482j)  +/-  (3.8e-37, 4.31e-97j)
| (7.4515533518023722202e-08 - 7.7918593155946840498e-480j)  +/-  (4.4e-37, 4.99e-97j)
| (0.0022934747582054889109 + 1.3196941630131156912e-476j)  +/-  (1.58e-32, 1.78e-92j)
| (9.6731565451338287688e-05 + 1.3120254660074449194e-477j)  +/-  (3.09e-34, 3.5e-94j)
| (0.041839009239921379207 - 8.0099850788837551271e-476j)  +/-  (1.23e-30, 1.39e-90j)
| (1.4489982715357566474e-05 - 6.3696928033812182055e-479j)  +/-  (5.44e-36, 6.14e-96j)
| (0.11751266168764812939 - 2.8287248735611719968e-475j)  +/-  (7.31e-30, 8.31e-90j)
| (0.1496840656784677031 + 3.346693228160205305e-475j)  +/-  (6.66e-30, 7.56e-90j)
| (4.996877444033304044e-23 + 1.5628786486302885054e-489j)  +/-  (3.89e-47, 4.42e-107j)
| (0.079156899877688029556 + 1.4053011485529523453e-475j)  +/-  (2.36e-31, 2.68e-91j)
| (0.1496840656784677031 + 2.9601734989960803343e-475j)  +/-  (6.7e-31, 7.62e-91j)
| (0.0005178668369149927584 - 1.447835434550749822e-477j)  +/-  (1.44e-34, 1.63e-94j)
| (1.3725821761047294739e-06 + 5.1763414987321099984e-479j)  +/-  (2.93e-37, 3.39e-97j)
| (0.0074667556562982206637 - 3.5190041036516021811e-476j)  +/-  (8.09e-34, 9.47e-94j)
| (1.3725821761047294739e-06 + 8.179116299406672363e-480j)  +/-  (2.3e-37, 2.54e-97j)
