Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 10 20
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Trying to find an order 10 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Trying to find an order 20 Kronrod extension for:
P2 : 16*t^14 - 3816/7*t^12 + 44964/7*t^10 - 225630/7*t^8 + 68715*t^6 - 108945/2*t^4 + 46845/4*t^2 - 2835/8
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16*t^34 - 13504051276154748796470880420344/3642441958493277806607614783*t^32 + 1346497748950455199174604072320056/3642441958493277806607614783*t^30 - 536139807588757901405781198367564620/25497093709452944646253303481*t^28 + 213661811712597515665803399061644129270/280468030803982391108786338291*t^26 - 400732766061689804622719804223155129565/21574463907998645469906641407*t^24 + 13544076590213559875706441760620525810315/43148927815997290939813282814*t^22 - 597822049427129716729423882520964644470755/160267446173704223490735050452*t^20 + 5016361300140195844151106836461343344311825/160267446173704223490735050452*t^18 - 29592000893334893311563654455103289138307325/160267446173704223490735050452*t^16 + 969545860327901381981427334783270033759495575/1282139569389633787925880403616*t^14 - 415012083946719078871547398147359840735602025/197252241444559044296289292864*t^12 + 137952081591962294754448030223379935247554325/35864043899010735326598053248*t^10 - 315289778727625744381733115282739306107747375/71728087798021470653196106496*t^8 + 59636437690981988342098652131949852564224875/20493739370863277329484601856*t^6 - 40542643089654694689062552847811835360117625/40987478741726554658969203712*t^4 + 22674878655728214539314553393680084053993375/163949914966906218635876814848*t^2 - 1255094291201017792255717299740481308128875/327899829933812437271753629696
-------------------------------------------------
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:
| (4.9338436421486616449 - 5.3137755325607069522e-455j)  +/-  (2.1e-120, 2.1e-120j)
| (5.5260229804620266043 + 3.1627253649179116293e-459j)  +/-  (8.98e-121, 8.98e-121j)
| (-7.6952024991800885722 + 2.4095157902287388716e-464j)  +/-  (9.97e-123, 9.97e-123j)
| (6.2280512075743076236 + 5.0907737468223990636e-463j)  +/-  (1.92e-121, 1.92e-121j)
| (-4.401421449590661285 + 7.1375925929139464254e-460j)  +/-  (3.21e-120, 3.21e-120j)
| (7.6952024991800885722 + 3.3999343561604755661e-464j)  +/-  (9.71e-123, 9.71e-123j)
| (-2.3166778458612639611 + 5.1390105927358330646e-461j)  +/-  (3.65e-121, 3.65e-121j)
| (-3.0486879132310133212 + 7.7816675508575047242e-461j)  +/-  (1.94e-120, 1.94e-120j)
| (4.401421449590661285 - 2.0768824875287914424e-462j)  +/-  (3.16e-120, 3.16e-120j)
| (1.374286253610462572 + 9.4069559870969971707e-471j)  +/-  (8.71e-123, 8.71e-123j)
| (-4.9338436421486616449 + 4.8829478467921010434e-471j)  +/-  (2.05e-120, 2.05e-120j)
| (-6.2280512075743076236 - 1.1075227102280611712e-474j)  +/-  (2.04e-121, 2.04e-121j)
| (3.4594940603158876349 + 4.909221254594886965e-475j)  +/-  (2.84e-120, 2.84e-120j)
| (-1.0363502036603261655 + 1.441877884280706841e-480j)  +/-  (1.21e-123, 1.21e-123j)
| (2.3166778458612639611 + 3.0994806607282932028e-476j)  +/-  (4.04e-121, 4.04e-121j)
| (1.9592782100888157859 - 6.6591968641096074082e-480j)  +/-  (1.45e-121, 1.45e-121j)
| (-5.5260229804620266043 + 1.2014895449677689314e-486j)  +/-  (9.68e-121, 9.68e-121j)
| (2.6766196635858910621 - 1.4568143208742659003e-488j)  +/-  (9.67e-121, 9.67e-121j)
| (3.0486879132310133212 + 1.7619887091664773965e-500j)  +/-  (2.09e-120, 2.09e-120j)
| (3.911506869286660161 + 2.7614107969797645108e-511j)  +/-  (3.57e-120, 3.57e-120j)
| (-3.911506869286660161 - 5.5940285052427414384e-515j)  +/-  (3.42e-120, 3.42e-120j)
| (-3.4594940603158876349 + 1.9847814910899548596e-515j)  +/-  (2.67e-120, 2.67e-120j)
| (-1.9592782100888157859 - 2.5576220815866392401e-517j)  +/-  (1.36e-121, 1.36e-121j)
| (-1.374286253610462572 + 1.1039256686032311685e-519j)  +/-  (8.96e-123, 8.96e-123j)
| (-2.6766196635858910621 - 5.6903195334869062856e-519j)  +/-  (1.07e-120, 1.07e-120j)
| (0.72477003068381338662 + 5.8502449495586821865e-525j)  +/-  (1.4e-124, 1.4e-124j)
| (0.18980675578014987883 + 2.6053410931194362747e-527j)  +/-  (9.84e-127, 9.84e-127j)
| (-0.18980675578014987883 - 6.5155167971294821262e-528j)  +/-  (9.84e-127, 9.84e-127j)
| (-0.72477003068381338662 - 6.6177202655424537511e-525j)  +/-  (1.34e-124, 1.34e-124j)
| (-0.52464762327529031788 + 1.1690025445819542656e-525j)  +/-  (2.27e-125, 2.27e-125j)
| (1.6506801238857845559 - 1.3509220176047588053e-522j)  +/-  (4.38e-122, 4.38e-122j)
| (1.0363502036603261655 + 3.2314231783673461707e-525j)  +/-  (1.03e-123, 1.03e-123j)
| (0.52464762327529031788 + 1.5028801603901012793e-526j)  +/-  (2.27e-125, 2.27e-125j)
| (-1.6506801238857845559 - 4.6490488221840175801e-525j)  +/-  (4.56e-122, 4.56e-122j)
-------------------------------------------------
The weights are:
| (8.4345026388747828364e-12 + 2.7778148178241084595e-465j)  +/-  (3.05e-31, 1.57e-91j)
| (1.954850605407202716e-14 + 1.8479220878390635269e-467j)  +/-  (5.16e-33, 2.65e-93j)
| (2.4956939821234014644e-25 + 1.2391821104926337294e-474j)  +/-  (7.36e-40, 3.78e-100j)
| (6.4284422727083928745e-18 - 8.1036249226281093646e-470j)  +/-  (3.37e-35, 1.73e-95j)
| (1.1098145868342957818e-09 + 1.15686233706002094e-465j)  +/-  (1.01e-32, 5.18e-93j)
| (2.4956939821234014644e-25 + 5.6668161736663264708e-474j)  +/-  (4.99e-39, 2.57e-99j)
| (0.00095285527048950717508 - 8.1658163470739344132e-461j)  +/-  (2.36e-25, 1.21e-85j)
| (2.0179103056280466623e-05 - 2.4467584581969406933e-462j)  +/-  (1.39e-28, 7.16e-89j)
| (1.1098145868342957818e-09 - 2.0182914120680106355e-464j)  +/-  (3.97e-32, 2.04e-92j)
| (0.026216307564818840267 - 5.248865959783276753e-459j)  +/-  (3.3e-21, 1.7e-81j)
| (8.4345026388747828364e-12 - 4.5391391694186625273e-467j)  +/-  (8.77e-35, 4.51e-95j)
| (6.4284422727083928745e-18 - 9.3964890989116416764e-471j)  +/-  (3.67e-38, 1.89e-98j)
| (1.5472068686013390251e-06 - 1.4845934883223224811e-462j)  +/-  (3.36e-31, 1.73e-91j)
| (0.067877810576929225984 - 6.3320449092272456702e-459j)  +/-  (1.26e-21, 6.47e-82j)
| (0.00095285527048950717508 + 2.2690755757397048379e-460j)  +/-  (3.03e-28, 1.56e-88j)
| (0.0041791582056292709191 - 9.0901830871054166983e-460j)  +/-  (4.27e-27, 2.19e-87j)
| (1.954850605407202716e-14 + 1.0461294531370613334e-468j)  +/-  (9.43e-38, 4.84e-98j)
| (0.00015736363889035554196 - 5.3850995465740952284e-461j)  +/-  (8.13e-30, 4.18e-90j)
| (2.0179103056280466623e-05 + 1.0381588333772391336e-461j)  +/-  (4.98e-31, 2.56e-91j)
| (6.0225958243730571088e-08 + 1.7421288517349115537e-463j)  +/-  (2.6e-33, 1.34e-93j)
| (6.0225958243730571088e-08 - 2.018828647949152604e-464j)  +/-  (6.63e-36, 3.41e-96j)
| (1.5472068686013390251e-06 + 2.6154311982986255976e-463j)  +/-  (4.31e-35, 2.21e-95j)
| (0.0041791582056292709191 + 3.915520861988064308e-460j)  +/-  (9.66e-33, 4.96e-93j)
| (0.026216307564818840267 + 2.9600530207324953203e-459j)  +/-  (1.04e-31, 5.37e-92j)
| (0.00015736363889035554196 + 1.5979492421105908437e-461j)  +/-  (6.68e-34, 3.44e-94j)
| (0.076433320419914800945 - 2.0705432039503505277e-458j)  +/-  (3.33e-31, 1.72e-91j)
| (0.20413064642821842955 - 1.3912795328184473784e-458j)  +/-  (8.81e-31, 4.54e-91j)
| (0.20413064642821842955 + 1.288127799310626784e-458j)  +/-  (4.86e-31, 2.51e-91j)
| (0.076433320419914800945 + 1.5397850538779824123e-458j)  +/-  (1.58e-31, 8.15e-92j)
| (0.11000834375313551475 - 1.7959387675543121289e-458j)  +/-  (2.26e-31, 1.17e-91j)
| (0.010022406487822284926 + 2.7550872401154903355e-459j)  +/-  (1.59e-33, 8.28e-94j)
| (0.067877810576929225984 + 9.7030573687784768752e-459j)  +/-  (6.07e-33, 3.16e-93j)
| (0.11000834375313551475 + 2.2236894959482231445e-458j)  +/-  (1.33e-32, 7.05e-93j)
| (0.010022406487822284926 - 1.3724564072123680228e-459j)  +/-  (8.19e-34, 3.64e-94j)
