Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 16
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Trying to find an order 6 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 3/2*t^8 - 161/52*t^6 + 105/52*t^4 - 245/572*t^2 + 25/1716
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^24 - 1696208257118225132570671/182525976695021167453388*t^22 + 201556972700422528812145173/7981363162755016504098148*t^20 - 433883418106971482809874802297/10974374348788147693134953500*t^18 + 4753651677239104417949009449529/120718117836669624624484488500*t^16 - 313847930600209393218403163961/12071811783666962462448448850*t^14 + 10675948929902245175047258173/928600906435920189419111450*t^12 - 2963100634181409520342865213/881326678471909707048683958*t^10 + 594385796137916648362273892012/948650244188513920781569538125*t^8 - 263011497943900658096197632901/3794600976754055683126278152500*t^6 + 825715908535309817788472353/206978235095675764534160626500*t^4 - 68820231214330004713957019/758920195350811136625255630500*t^2 + 4023570156205341878629/11675695313089402101927009700
-------------------------------------------------
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:
| (-0.33591227695818516143 - 6.8162052376658871083e-272j)  +/-  (8.99e-125, 8.99e-125j)
| (-0.2041968861768067152 - 1.0097880081169463022e-272j)  +/-  (4.79e-126, 4.79e-126j)
| (-0.91155193112985207095 - 4.8082417877273413706e-273j)  +/-  (1.05e-119, 1.05e-119j)
| (0.99657627781910084932 - 1.5581736929336455135e-270j)  +/-  (1.05e-119, 1.05e-119j)
| (0.95489607639279069745 - 1.3142492350059279701e-284j)  +/-  (2e-119, 2e-119j)
| (0.91155193112985207095 + 2.8321044280396251985e-303j)  +/-  (1.12e-119, 1.12e-119j)
| (0.57735026918962576451 + 3.1725028625301724462e-312j)  +/-  (1.48e-122, 1.48e-122j)
| (-0.85110112875893547946 + 2.5308625609937704667e-319j)  +/-  (3.23e-120, 3.23e-120j)
| (-0.95489607639279069745 + 1.9333872578278541508e-318j)  +/-  (2.13e-119, 2.13e-119j)
| (-0.98219129046748981137 - 3.452729396741829223e-320j)  +/-  (2.54e-119, 2.54e-119j)
| (0.85110112875893547946 - 7.9835295733915402126e-320j)  +/-  (3.14e-120, 3.14e-120j)
| (0.98219129046748981137 + 2.4295508840089560063e-322j)  +/-  (2.36e-119, 2.36e-119j)
| (-0.99657627781910084932 + 2.4276238109970078134e-326j)  +/-  (1.02e-119, 1.02e-119j)
| (-0.77424992961975188385 + 8.7657029376176982637e-328j)  +/-  (7.47e-121, 7.47e-121j)
| (0.068510128019728114935 - 7.5317365519399298369e-331j)  +/-  (2.2e-127, 2.2e-127j)
| (0.77424992961975188385 + 5.3228541130476685832e-342j)  +/-  (7.49e-121, 7.49e-121j)
| (0.46110319243320059846 + 1.4982077868921705917e-355j)  +/-  (1.15e-123, 1.15e-123j)
| (-0.068510128019728114935 - 2.3307626494343785556e-362j)  +/-  (2.2e-127, 2.2e-127j)
| (-0.68240943228881515312 + 6.9834942968673382455e-366j)  +/-  (1.27e-121, 1.27e-121j)
| (-0.46110319243320059846 + 1.6897094253453740947e-373j)  +/-  (1.27e-123, 1.27e-123j)
| (0.2041968861768067152 + 1.557237758361723303e-381j)  +/-  (4.54e-126, 4.54e-126j)
| (0.68240943228881515312 - 4.3237358137883525326e-387j)  +/-  (1.22e-121, 1.22e-121j)
| (0.33591227695818516143 + 1.0367887700089981756e-390j)  +/-  (8.24e-125, 8.24e-125j)
| (-0.57735026918962576451 + 3.0798428118539236994e-391j)  +/-  (1.65e-122, 1.65e-122j)
-------------------------------------------------
The weights are:
| (0.12886902536778544346 + 2.7601453058590794637e-272j)  +/-  (1.06e-35, 9.69e-94j)
| (0.13413541946575011364 + 2.758962836557996546e-272j)  +/-  (9.2e-36, 8.39e-94j)
| (0.051919680260615614121 + 4.7795059120027167052e-272j)  +/-  (8.44e-37, 7.69e-95j)
| (0.0087147306761499322526 + 1.838635043350719587e-270j)  +/-  (2.32e-37, 2.11e-95j)
| (0.034917945941876098501 + 1.3045296413681011572e-270j)  +/-  (1.68e-37, 1.53e-95j)
| (0.051919680260615614121 - 6.777872106604677182e-271j)  +/-  (1.28e-37, 1.17e-95j)
| (0.11101063653589203488 - 1.1019302616194571982e-271j)  +/-  (2.15e-38, 1.96e-96j)
| (0.068846833865425576869 - 4.4639409077202938125e-272j)  +/-  (2.08e-38, 1.9e-96j)
| (0.034917945941876098501 - 4.7747234049408046961e-272j)  +/-  (7.03e-39, 6.41e-97j)
| (0.020294764516371760935 + 3.1843001508033655324e-272j)  +/-  (1.59e-39, 1.45e-97j)
| (0.068846833865425576869 + 3.8234095426566352129e-271j)  +/-  (4.83e-40, 4.4e-98j)
| (0.020294764516371760935 - 2.7046236356225604511e-270j)  +/-  (2.9e-39, 2.64e-97j)
| (0.0087147306761499322526 - 1.0829907952751707501e-272j)  +/-  (4.46e-40, 4.06e-98j)
| (0.084616031551570690891 + 4.9126518152021673777e-272j)  +/-  (1.09e-40, 9.9e-99j)
| (0.13679751421841674358 - 3.3093317929202309237e-272j)  +/-  (4.23e-42, 3.86e-100j)
| (0.084616031551570690891 - 2.3581705620004330943e-271j)  +/-  (2.11e-41, 1.92e-99j)
| (0.12110889462848225236 + 8.0716982341858332032e-272j)  +/-  (2.07e-42, 1.89e-100j)
| (0.13679751421841674358 + 2.0784116022640699591e-272j)  +/-  (2.41e-42, 2.19e-100j)
| (0.098768522971663738515 - 5.4503921504991894873e-272j)  +/-  (7.14e-43, 6.48e-101j)
| (0.12110889462848225236 - 9.8949449051985758473e-272j)  +/-  (3.9e-43, 3.58e-101j)
| (0.13413541946575011364 + 4.5654701521866445361e-272j)  +/-  (1.41e-43, 1.31e-101j)
| (0.098768522971663738515 + 1.5668645636608760854e-271j)  +/-  (1.04e-43, 9.59e-102j)
| (0.12886902536778544346 - 6.0603834179326882041e-272j)  +/-  (7.03e-44, 6.51e-102j)
| (0.11101063653589203488 + 6.5484446948696128566e-272j)  +/-  (4.91e-44, 4.17e-102j)
