Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3 6 12
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 3/2*t^5 - 25/14*t^3 + 3/7*t
Solvable: 1
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Trying to find an order 12 Kronrod extension for:
P3 : 3/2*t^11 - 2114365/488852*t^9 + 2243043/488852*t^7 - 1964259/907868*t^5 + 386565/907868*t^3 - 11007/453934*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^23 - 61063416600643794465398096623320612819571093/6495551261197576574180955878106797013407828*t^21 + 23929919338399002445298610727726919043064223/927935894456796653454422268300971001915404*t^19 - 1837982315060261856054590505598804339984753483/45236874854768836855903085579672336343375945*t^17 + 647286252622659309781469032004885463625557533/15965955831094883596201089028119648121191510*t^15 - 1233285985756092975940770357773431592432661179/46301271910175162428983158181546979551455379*t^13 + 32026095924997892515006578134805604823917277933/2760268133106596221727842122361454550182916825*t^11 - 32683730703387740208095627870562251529581956273/9936965279183746398220231640501236380658500570*t^9 + 11180516634668311537351240206143219541372488321/19321876931746173552094894856530181851280417775*t^7 - 48944570224370587707299400041904434491643903/849313271725106529762412960726601400056282100*t^5 + 61038701185756997066654759321217650959130149/22523787966149825169299191718469469129492601292*t^3 - 3634340718023576869391528298569152823128069/93849116525624271538746632160289454706219172050*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:
| (0.99789629329501009199 - 1.1084305543371685894e-261j)  +/-  (2.31e-119, 2.31e-119j)
| (-0.57735026918962576451 - 2.8131386421987299601e-262j)  +/-  (8.04e-123, 8.04e-123j)
| (-0.92582009977255146157 + 1.8779230481984271926e-271j)  +/-  (1.41e-119, 1.41e-119j)
| (-0.44696796404999669242 - 1.6601216113790294655e-280j)  +/-  (4.32e-124, 4.32e-124j)
| (0.96502643103930765951 - 2.6045248563882517313e-279j)  +/-  (3.25e-119, 3.25e-119j)
| (0.92582009977255146157 + 6.6575924650743454901e-288j)  +/-  (1.42e-119, 1.42e-119j)
| (-0.98785368285261173498 + 7.811170175645952987e-301j)  +/-  (5.19e-119, 5.19e-119j)
| (-0.86794828602803889807 + 9.1816826222496445079e-325j)  +/-  (3.92e-120, 3.92e-120j)
| (-0.99789629329501009199 + 8.2789643741971213538e-340j)  +/-  (2.45e-119, 2.45e-119j)
| (-0.15444378242844441647 - 3.1200998401793150508e-356j)  +/-  (1.07e-126, 1.07e-126j)
| (0.86794828602803889807 + 3.6529769169990791721e-354j)  +/-  (3.46e-120, 3.46e-120j)
| (-7.2791694984580673223e-359 + 7.7623769545708286433e-358j)  +/-  (1.79e-356, 1.79e-356j)
| (-0.96502643103930765951 - 1.6185921393694304549e-354j)  +/-  (3.57e-119, 3.57e-119j)
| (-0.79008322340119373077 - 2.4438501920870252326e-361j)  +/-  (6.42e-121, 6.42e-121j)
| (0.15444378242844441647 + 6.524955338844947289e-370j)  +/-  (1.2e-126, 1.2e-126j)
| (0.79008322340119373077 + 8.4192903068486715255e-362j)  +/-  (6.24e-121, 6.24e-121j)
| (0.44696796404999669242 - 2.0703588101208007101e-366j)  +/-  (4.61e-124, 4.61e-124j)
| (0.98785368285261173498 - 5.6449730811001938463e-365j)  +/-  (4.55e-119, 4.55e-119j)
| (-0.6926188473346906128 + 9.5924625890313974371e-369j)  +/-  (8.32e-122, 8.32e-122j)
| (-0.30476216915276288265 - 9.1177581703009862866e-373j)  +/-  (2.72e-125, 2.72e-125j)
| (0.57735026918962576451 - 2.9116667634184138763e-370j)  +/-  (7.07e-123, 7.07e-123j)
| (0.6926188473346906128 - 2.8811058530712211053e-372j)  +/-  (7.98e-122, 7.98e-122j)
| (0.30476216915276288265 + 4.5500370827047837644e-375j)  +/-  (2.33e-125, 2.33e-125j)
-------------------------------------------------
The weights are:
| (0.005449308541073479421 + 1.097486997270657451e-261j)  +/-  (2.01e-38, 4.64e-95j)
| (0.12333089823268532924 + 8.5056423654124272754e-263j)  +/-  (8.86e-39, 2.05e-95j)
| (0.048194748959528784535 + 3.7002536074979719331e-262j)  +/-  (1.99e-39, 4.61e-96j)
| (0.13688253571530605997 + 2.1601954587908148487e-262j)  +/-  (6.43e-39, 1.48e-95j)
| (0.030605691425111566303 + 5.3987234431611825673e-262j)  +/-  (1.58e-39, 3.65e-96j)
| (0.048194748959528784535 - 2.4016211330058440961e-262j)  +/-  (8.56e-40, 1.98e-96j)
| (0.015590625095637623139 + 3.9145819419683954621e-262j)  +/-  (1.38e-40, 3.2e-97j)
| (0.067787533231018982158 - 3.1329559651552489146e-262j)  +/-  (8.33e-41, 1.93e-97j)
| (0.005449308541073479421 - 1.6745622288375016977e-262j)  +/-  (6.7e-41, 1.55e-97j)
| (0.1530617301194241004 + 5.3349013584907185478e-263j)  +/-  (2.76e-42, 6.38e-99j)
| (0.067787533231018982158 + 1.236395216938652489e-262j)  +/-  (9.2e-43, 2.13e-99j)
| (0.15513596323317453627 - 3.8564953980337606561e-263j)  +/-  (7.31e-43, 1.69e-99j)
| (0.030605691425111566303 - 4.2642213624425730342e-262j)  +/-  (7.64e-41, 1.76e-97j)
| (0.087867431693793112324 + 2.9755382456422794253e-262j)  +/-  (4.18e-42, 9.67e-99j)
| (0.1530617301194241004 + 3.2091900384912599209e-263j)  +/-  (9.15e-44, 2.11e-100j)
| (0.087867431693793112324 - 7.2680857367520974279e-263j)  +/-  (2.06e-44, 4.76e-101j)
| (0.13688253571530605997 + 3.1563482816875689079e-263j)  +/-  (4.61e-45, 1.06e-101j)
| (0.015590625095637623139 - 1.4764483985338915714e-261j)  +/-  (6.38e-44, 1.48e-100j)
| (0.10675329642168529911 - 3.9519067847852936324e-262j)  +/-  (1.65e-43, 3.8e-100j)
| (0.14690821894814839527 - 8.9520609514034157083e-263j)  +/-  (3.93e-44, 9.06e-101j)
| (0.12333089823268532924 - 3.6996816932027056134e-263j)  +/-  (1.31e-45, 3.03e-102j)
| (0.10675329642168529911 + 4.872056754805684459e-263j)  +/-  (1.62e-45, 3.78e-102j)
| (0.14690821894814839527 - 3.0098792909006211722e-263j)  +/-  (9.9e-46, 2.24e-102j)
