Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 28
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Trying to find an order 28 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^33 - 22078378374741943639/342103145757943874*t^31 + 145560705712292262203977/605522567991560656980*t^29 - 244566470529210665097262/454141925993670492735*t^27 + 15515258343272141012054769/19174881319732754137700*t^25 - 17498139548608907439789993/20325374198916719385962*t^23 + 7562051451761565667257349/11328897094478171461028*t^21 - 3476587232970425992151877/9092930562673269198983*t^19 + 69345542119332296242160307/427367736445643652352201*t^17 - 89227975695892165259227243/1759749503011473862626710*t^15 + 49668487242498847746947781/4323955921685335776739916*t^13 - 81414666095132228951885468/44320548197274691711584139*t^11 + 105774973473733243044709487/531846578367296300539009668*t^9 - 845133302863371511554609/61881520124496739370891062*t^7 + 473864873467772420042673/886410963945493834231682780*t^5 - 16092651774552123948337/1639860283299163593328613143*t^3 + 4924214020711415290809/91832175864753161226402336008*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:
| (0.99757954096645789899 - 6.0086896509335995248e-288j)  +/-  (4.94e-117, 4.94e-117j)
| (9.0974845666596923977e-301 - 6.2540822357098713823e-300j)  +/-  (2.09e-298, 2.09e-298j)
| (-0.86274586119758909118 + 2.4285319764595809177e-300j)  +/-  (3.19e-117, 3.19e-117j)
| (-0.99757954096645789899 + 4.6709878096903229769e-303j)  +/-  (4.99e-117, 4.99e-117j)
| (0.94150920098835398335 + 1.4967827245481441127e-312j)  +/-  (1.12e-116, 1.12e-116j)
| (0.9061798459386639928 - 2.7198860929555975052e-328j)  +/-  (6.72e-117, 6.72e-117j)
| (-0.98722734159271334457 + 6.1291267569611638186e-336j)  +/-  (1.36e-116, 1.36e-116j)
| (-0.9061798459386639928 + 7.5186697876385449394e-336j)  +/-  (6.61e-117, 6.61e-117j)
| (0.98722734159271334457 + 4.2294080048115328231e-335j)  +/-  (1.29e-116, 1.29e-116j)
| (-0.94150920098835398335 - 5.2097307719876866265e-342j)  +/-  (1.3e-116, 1.3e-116j)
| (0.86274586119758909118 + 1.2978158972466768074e-341j)  +/-  (2.79e-117, 2.79e-117j)
| (-0.53846931010568309104 + 1.7381573728059686758e-354j)  +/-  (7.55e-121, 7.55e-121j)
| (-0.68746729056265556112 + 3.9898753995098940459e-352j)  +/-  (4.36e-119, 4.36e-119j)
| (-0.81151804022897642335 + 3.8327815502619665319e-351j)  +/-  (9.08e-118, 9.08e-118j)
| (0.9685468227028390516 + 1.6507277700098462598e-351j)  +/-  (1.45e-116, 1.45e-116j)
| (0.81151804022897642335 - 1.5670190425198263218e-359j)  +/-  (1.03e-117, 1.03e-117j)
| (0.61576219305158921375 + 2.0287725965607923158e-361j)  +/-  (6.24e-120, 6.24e-120j)
| (-0.9685468227028390516 + 4.4182198942001150688e-359j)  +/-  (1.63e-116, 1.63e-116j)
| (-0.75291897471425311413 - 1.1921325516541787126e-364j)  +/-  (2.58e-118, 2.58e-118j)
| (-0.094602168583405379805 - 2.6289409967160520123e-369j)  +/-  (8.8e-127, 8.8e-127j)
| (0.53846931010568309104 - 3.2616714828122344771e-362j)  +/-  (7.71e-121, 7.71e-121j)
| (0.75291897471425311413 + 1.2801177994570014054e-362j)  +/-  (2.42e-118, 2.42e-118j)
| (0.18836504932001938055 + 5.9487209320687601776e-368j)  +/-  (2.18e-125, 2.18e-125j)
| (-0.37003839199054055033 + 2.7997579777877945089e-370j)  +/-  (5.2e-123, 5.2e-123j)
| (-0.45630777317907313515 - 1.3569730858741522973e-369j)  +/-  (7.16e-122, 7.16e-122j)
| (0.094602168583405379805 + 3.6787530378409012009e-369j)  +/-  (8.8e-127, 8.8e-127j)
| (0.68746729056265556112 - 1.7006406613395192442e-367j)  +/-  (4.71e-119, 4.71e-119j)
| (0.2804529781475123289 + 4.2598869726850312152e-372j)  +/-  (3.32e-124, 3.32e-124j)
| (-0.18836504932001938055 + 4.3744000173079579389e-373j)  +/-  (2e-125, 2e-125j)
| (-0.61576219305158921375 - 4.5598723876781652457e-371j)  +/-  (6.59e-120, 6.59e-120j)
| (-0.2804529781475123289 + 9.6617630667839392621e-376j)  +/-  (3.36e-124, 3.36e-124j)
| (0.37003839199054055033 - 2.0137612882167532354e-374j)  +/-  (5.34e-123, 5.34e-123j)
| (0.45630777317907313515 - 1.2541691390021493424e-378j)  +/-  (7.05e-122, 7.05e-122j)
-------------------------------------------------
The weights are:
| (0.0062141378831007871116 + 7.5775245620095505836e-288j)  +/-  (5.73e-25, 1.47e-80j)
| (0.09474216415935332345 + 1.16745864082702734e-288j)  +/-  (3.38e-25, 8.69e-81j)
| (0.047392526344041457039 - 3.0223514615031908967e-289j)  +/-  (9.66e-26, 2.48e-81j)
| (0.0062141378831007871116 + 1.8714711185661952299e-290j)  +/-  (5.41e-26, 1.39e-81j)
| (0.031204098125473294222 - 6.2124708642421892947e-288j)  +/-  (3.14e-26, 8.08e-82j)
| (0.039423422292878833917 + 5.0178399075125331957e-288j)  +/-  (2.72e-26, 6.98e-82j)
| (0.014505916631671386482 - 6.368853416565318321e-290j)  +/-  (1.3e-26, 3.34e-82j)
| (0.039423422292878833917 + 2.4090703920055673479e-289j)  +/-  (5.81e-27, 1.49e-82j)
| (0.014505916631671386482 - 1.2210877745663772229e-287j)  +/-  (1.29e-27, 3.31e-83j)
| (0.031204098125473294222 - 1.7963868590826191657e-289j)  +/-  (3.97e-27, 1.02e-82j)
| (0.047392526344041457039 - 4.1699946242939534619e-288j)  +/-  (2.64e-28, 6.79e-84j)
| (0.07985091459554632402 + 6.2857645851768256965e-289j)  +/-  (1.92e-29, 4.93e-85j)
| (0.068684243327848267816 + 4.9060974057457229915e-289j)  +/-  (4.41e-29, 1.13e-84j)
| (0.054992412323725946254 + 3.6377584318368196915e-289j)  +/-  (1.25e-28, 3.21e-84j)
| (0.022860722043461771776 + 8.0926491514543009539e-288j)  +/-  (3.81e-28, 9.8e-84j)
| (0.054992412323725946254 + 3.5370347728914654803e-288j)  +/-  (1.53e-29, 3.93e-85j)
| (0.074614798816002268187 - 2.3567924991577878248e-288j)  +/-  (3.16e-31, 8.13e-87j)
| (0.022860722043461771776 + 1.1949974689478244828e-289j)  +/-  (1.99e-28, 5.11e-84j)
| (0.062119021963855817077 - 4.2625827997898193521e-289j)  +/-  (1.86e-29, 4.79e-85j)
| (0.094322233439699143097 - 1.060845590186377566e-288j)  +/-  (4.71e-32, 1.21e-87j)
| (0.07985091459554632402 + 2.1030333937579489136e-288j)  +/-  (3.23e-32, 8.31e-88j)
| (0.062119021963855817077 - 3.0497946515502189122e-288j)  +/-  (2.22e-31, 5.7e-87j)
| (0.093064177584311372377 + 1.4098113304485580495e-288j)  +/-  (5.06e-33, 1.3e-88j)
| (0.088061459074787891245 + 7.840513581384322744e-289j)  +/-  (5.23e-33, 1.34e-88j)
| (0.084345179080420329013 - 7.0379209536259226819e-289j)  +/-  (1.1e-32, 2.82e-88j)
| (0.094322233439699143097 - 1.2831286648834950108e-288j)  +/-  (1.69e-33, 4.34e-89j)
| (0.068684243327848267816 + 2.6658101632438318673e-288j)  +/-  (3.16e-33, 8.12e-89j)
| (0.090973654393498448642 - 1.5503387129963725348e-288j)  +/-  (4e-34, 1.03e-89j)
| (0.093064177584311372377 + 9.6196716814286822266e-289j)  +/-  (4.2e-34, 1.08e-89j)
| (0.074614798816002268187 - 5.5776420000819641564e-289j)  +/-  (5.27e-34, 1.35e-89j)
| (0.090973654393498448642 - 8.6992236569276171384e-289j)  +/-  (2.76e-34, 7.11e-90j)
| (0.088061459074787891245 + 1.7087049980655768388e-288j)  +/-  (1.61e-35, 4.17e-91j)
| (0.084345179080420329013 - 1.8904263258080983366e-288j)  +/-  (1.44e-35, 3.67e-91j)
