Starting with polynomial:
P : t
Extension levels are: 1 2 8 12
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P3 : t^11 - 10483/3705*t^9 + 3234/1105*t^7 - 139986/104975*t^5 + 68299/272935*t^3 - 3633/272935*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 25371865499281358445058517/4121221662869825874849645*t^21 + 231912954872273254521412163/14012153653757407974488793*t^19 - 469879528152004709122728113/18437044281259747334853675*t^17 + 2826135089590126238906636550434/114074331096220235524818476325*t^15 - 120137760916109237312663000174/7604955406414682368321231755*t^13 + 175012647587378460807807295394/26324845637589285121111956075*t^11 - 5720536582515902443512609734/3158981476510714214533434729*t^9 + 13341170441193955223008654817/43874742729315475201853260125*t^7 - 23895958931558081234811401611/833620111856994028835211942375*t^5 + 631561618372486948220183263/500172067114196417301127165425*t^3 - 47266142630959591500805357/2834308380313779698039720604075*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:
| (0.99750760639318964363 + 1.0117653525183636705e-258j)  +/-  (2.27e-119, 2.27e-119j)
| (-0.99750760639318964363 - 4.0252743098444931143e-276j)  +/-  (2.27e-119, 2.27e-119j)
| (-0.96698721654849048993 + 7.3073046702093676489e-277j)  +/-  (1.76e-119, 1.76e-119j)
| (-0.42982628683776222528 - 7.1488948348408892168e-284j)  +/-  (3.09e-124, 3.09e-124j)
| (0.96698721654849048993 - 2.1221763565758057141e-278j)  +/-  (1.71e-119, 1.71e-119j)
| (0.9225217132136291628 - 1.2033949530149195022e-294j)  +/-  (6.33e-120, 6.33e-120j)
| (-2.9150580435889303569e-312 - 1.3036586827132395809e-311j)  +/-  (3.07e-310, 3.07e-310j)
| (-0.9225217132136291628 + 1.89640429643196325e-308j)  +/-  (6.17e-120, 6.17e-120j)
| (-0.99079325588510780584 - 2.0912700558305799195e-306j)  +/-  (3.71e-119, 3.71e-119j)
| (-0.2919991541426287378 + 9.4357740603820573028e-313j)  +/-  (1.82e-125, 1.82e-125j)
| (0.85805232991808761223 + 1.2178438350745701333e-307j)  +/-  (1.64e-120, 1.64e-120j)
| (-0.14765115619613792876 - 1.4479283706332371562e-321j)  +/-  (1.05e-126, 1.05e-126j)
| (-0.67385724014661555763 - 2.0835005208910923861e-321j)  +/-  (4.76e-122, 4.76e-122j)
| (-0.77459666924148337704 - 2.0677964465187756353e-320j)  +/-  (3.34e-121, 3.34e-121j)
| (0.2919991541426287378 + 4.4624024571932820409e-319j)  +/-  (2.1e-125, 2.1e-125j)
| (0.77459666924148337704 + 2.084650087167581542e-318j)  +/-  (3.31e-121, 3.31e-121j)
| (0.55806685067819680295 + 8.3680071891437476215e-335j)  +/-  (4.31e-123, 4.31e-123j)
| (0.99079325588510780584 - 1.0043301514400911931e-351j)  +/-  (3.5e-119, 3.5e-119j)
| (-0.85805232991808761223 - 1.6520164914539413226e-373j)  +/-  (1.72e-120, 1.72e-120j)
| (-0.55806685067819680295 + 3.1650171449894022546e-376j)  +/-  (4.08e-123, 4.08e-123j)
| (0.42982628683776222528 + 5.2144548777731517345e-377j)  +/-  (3.25e-124, 3.25e-124j)
| (0.67385724014661555763 + 6.7052705129651639645e-372j)  +/-  (4.42e-122, 4.42e-122j)
| (0.14765115619613792876 - 6.6305927737863431596e-379j)  +/-  (1.05e-126, 1.05e-126j)
-------------------------------------------------
The weights are:
| (0.0044855683210994335186 - 1.0172408933564103041e-258j)  +/-  (6.04e-40, 2.64e-96j)
| (0.0044855683210994335186 - 2.274841106250920422e-261j)  +/-  (2.67e-40, 1.17e-96j)
| (0.034281056711768008624 - 2.8122177513136010232e-261j)  +/-  (1.53e-40, 6.69e-97j)
| (0.13352954567274038045 - 1.3086137548409909379e-261j)  +/-  (1.01e-41, 4.41e-98j)
| (0.034281056711768008624 - 1.8101299628057608805e-259j)  +/-  (3.9e-41, 1.7e-97j)
| (0.054577682209883864461 + 5.3581034794799564062e-260j)  +/-  (2.26e-41, 9.87e-98j)
| (0.14820470766410736504 + 1.6966463557574439168e-261j)  +/-  (4.18e-42, 1.83e-98j)
| (0.054577682209883864461 + 2.0925835405450566534e-261j)  +/-  (1.1e-41, 4.82e-98j)
| (0.013095225043961996374 + 3.9167016321951702903e-261j)  +/-  (9.47e-41, 4.14e-97j)
| (0.14161300718655955423 + 1.3703633430654469816e-261j)  +/-  (8.58e-43, 3.75e-99j)
| (0.074192637706896077409 - 2.2635697268999241465e-260j)  +/-  (7.36e-44, 3.22e-100j)
| (0.14654559916872913661 - 1.4937990043958254358e-261j)  +/-  (4.69e-43, 2.05e-99j)
| (0.10867221158867394116 - 1.3530393741314720135e-261j)  +/-  (7.47e-44, 3.26e-100j)
| (0.092431718464954742433 + 1.4759974202351031487e-261j)  +/-  (6.31e-44, 2.76e-100j)
| (0.14161300718655955423 + 2.5047081854744058031e-261j)  +/-  (3.38e-45, 1.48e-101j)
| (0.092431718464954742433 + 1.1733930028943635212e-260j)  +/-  (1.46e-45, 6.38e-102j)
| (0.12247339409267918221 + 4.6084927515405391721e-261j)  +/-  (4.04e-46, 1.76e-102j)
| (0.013095225043961996374 + 1.1598413313702956814e-258j)  +/-  (7.95e-45, 3.43e-101j)
| (0.074192637706896077409 - 1.7011939949135968745e-261j)  +/-  (3.67e-45, 1.57e-101j)
| (0.12247339409267918221 + 1.301872455052214332e-261j)  +/-  (1.21e-45, 5.12e-102j)
| (0.13352954567274038045 - 3.2902769583743444452e-261j)  +/-  (2e-46, 8.65e-103j)
| (0.10867221158867394116 - 6.9872389521249290066e-261j)  +/-  (2.18e-46, 9.76e-103j)
| (0.14654559916872913661 - 2.0128540755729471822e-261j)  +/-  (1.8e-46, 7.33e-103j)
