Starting with polynomial:
P : 4418157975/65536*t^19 - 20419054425/65536*t^17 + 9917826435/16384*t^15 - 10518906825/16384*t^13 + 13233463425/32768*t^11 - 5019589575/32768*t^9 + 557732175/16384*t^7 - 66927861/16384*t^5 + 14549535/65536*t^3 - 230945/65536*t
Extension levels are: 19 20
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P1 : 4418157975/65536*t^19 - 20419054425/65536*t^17 + 9917826435/16384*t^15 - 10518906825/16384*t^13 + 13233463425/32768*t^11 - 5019589575/32768*t^9 + 557732175/16384*t^7 - 66927861/16384*t^5 + 14549535/65536*t^3 - 230945/65536*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4418157975/65536*t^39 - 1764994406175/2686976*t^37 + 13993357449723795/4737138688*t^35 - 1579366441254622475/194222686208*t^33 + 61654248760023938443425/4023371500470272*t^31 - 3454896613681299215854425/164958231519281152*t^29 + 318275093135270417664911468075/14831889470593126219776*t^27 - 180503068878177443308656837423189/10743231939866287758524416*t^25 + 18080847685692792560832821174239195725/1780389883538520939918183268352*t^23 - 415468490778581502373498848380521896033025/87376194314419992168364680260911104*t^21 + 744610289726493651991825773502318854257801675/432790933523953539303656616509485252608*t^19 - 3623967155455233980726035493254368954487075/7592823395157079636906256429990969344*t^17 + 67066436161363862522956802807759126612605/669955005455036438550552037940379648*t^15 - 3470095034143321217709646493973626414575/223318335151678812850184012646793216*t^13 + 386413950750358912848634478053016396525/223318335151678812850184012646793216*t^11 - 88495118383487208705057029847234389575/669955005455036438550552037940379648*t^9 + 40373524755254969001458195194073350725/6252913384247006759805152354110210048*t^7 - 485463882874910071579655477444669065/2679820021820145754202208151761518592*t^5 + 57757866445719049699451821134021775/24118380196381311787819873365853667328*t^3 - 75960419859873401339723448222725/8039460065460437262606624455284555776*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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.96020815213483003085 - 5.804371793057546909e-882j)  +/-  (7.33e-242, 7.33e-242j)
| (0.97957230078926328156 + 1.6940896259999215841e-883j)  +/-  (9.14e-242, 9.14e-242j)
| (-0.90315590361481790164 - 3.0030738102608928476e-881j)  +/-  (2.14e-242, 2.14e-242j)
| (0.99240684384358440319 + 1.2337524455248249232e-892j)  +/-  (7.62e-242, 7.62e-242j)
| (0.86577354268533519166 - 7.6834079084630794733e-898j)  +/-  (8.27e-243, 8.27e-243j)
| (0.82271465653714282498 - 4.5271908429488398358e-901j)  +/-  (2.7e-243, 2.7e-243j)
| (-0.99873801208031452959 + 1.6701097521802613962e-900j)  +/-  (2.97e-242, 2.97e-242j)
| (-0.93466400016551930719 - 3.4438786404960016264e-924j)  +/-  (4.34e-242, 4.34e-242j)
| (-0.96020815213483003085 + 6.9971211519289388884e-944j)  +/-  (6.97e-242, 6.97e-242j)
| (0.99873801208031452959 - 9.4634550099438191394e-963j)  +/-  (3.04e-242, 3.04e-242j)
| (0.90315590361481790164 + 2.5654026935378506754e-965j)  +/-  (2.14e-242, 2.14e-242j)
| (-0.97957230078926328156 - 1.221876153914440193e-964j)  +/-  (8.55e-242, 8.55e-242j)
| (-0.86577354268533519166 - 5.1709510079706474859e-977j)  +/-  (7.95e-243, 7.95e-243j)
| (-0.82271465653714282498 - 2.0899733030361812347e-984j)  +/-  (2.73e-243, 2.73e-243j)
| (-0.99240684384358440319 - 3.4342897787723768425e-990j)  +/-  (7.82e-242, 7.82e-242j)
| (0.77432885900953476165 - 4.8873157465259889153e-999j)  +/-  (6.65e-244, 6.65e-244j)
| (0.93466400016551930719 + 5.2294950952385273222e-1001j)  +/-  (4.54e-242, 4.54e-242j)
| (-0.31656409996362983199 - 3.6111037389609113454e-1009j)  +/-  (1.53e-250, 1.53e-250j)
| (-0.77432885900953476165 + 3.1324800210461591479e-1004j)  +/-  (6.49e-244, 6.49e-244j)
| (-0.72096617733522937862 - 1.6860758143287854719e-1007j)  +/-  (1.35e-244, 1.35e-244j)
| (0.23922492831824141373 + 3.8597874537793310258e-1017j)  +/-  (9.31e-252, 9.31e-252j)
| (0.72096617733522937862 - 1.0688809438841430567e-1009j)  +/-  (1.44e-244, 1.44e-244j)
| (0.16035864564022537587 - 1.0740141327345248782e-1018j)  +/-  (4.37e-253, 4.37e-253j)
| (-0.60054530466168102347 + 3.500976483674065193e-1011j)  +/-  (3.09e-246, 3.09e-246j)
| (-0.5342756325305535152 + 9.7501397149714000646e-1012j)  +/-  (3e-247, 3e-247j)
| (-0.080451922744011330028 + 2.6968533453022452257e-1019j)  +/-  (1.96e-254, 1.96e-254j)
| (0.66292306574490784534 + 4.5866174211595878356e-1011j)  +/-  (2.05e-245, 2.05e-245j)
| (0.46457074137596094572 - 5.806408386818029761e-1014j)  +/-  (2.67e-248, 2.67e-248j)
| (-0.16035864564022537587 + 1.0574127384845946627e-1019j)  +/-  (4.07e-253, 4.07e-253j)
| (-0.66292306574490784534 + 1.5483257234108774492e-1013j)  +/-  (2.31e-245, 2.31e-245j)
| (-0.23922492831824141373 - 9.9122348602556352012e-1020j)  +/-  (9.53e-252, 9.53e-252j)
| (0.3918512308715201738 + 1.2638268641369821178e-1016j)  +/-  (2.17e-249, 2.17e-249j)
| (0.60054530466168102347 - 2.6886483325963649921e-1014j)  +/-  (2.95e-246, 2.95e-246j)
| (2.8055745420211035377e-1027 - 2.7055306350733440275e-1028j)  +/-  (1.1e-1025, 1.1e-1025j)
| (-0.46457074137596094572 - 1.7373169483154593539e-1019j)  +/-  (2.71e-248, 2.71e-248j)
| (-0.3918512308715201738 - 3.45822037230667196e-1020j)  +/-  (2.32e-249, 2.32e-249j)
| (0.080451922744011330028 - 3.506694755102849698e-1025j)  +/-  (1.96e-254, 1.96e-254j)
| (0.5342756325305535152 + 5.6563833576332956361e-1018j)  +/-  (3.16e-247, 3.16e-247j)
| (0.31656409996362983199 - 5.5164588262335670761e-1021j)  +/-  (1.64e-250, 1.64e-250j)
-------------------------------------------------
The weights are:
| (0.022508695752204271122 + 6.6309516784910379932e-883j)  +/-  (2.26e-78, 9.16e-195j)
| (0.016153414369091354278 + 5.1133048070557299274e-882j)  +/-  (1.46e-78, 5.91e-195j)
| (0.034462352862880984706 - 2.4121902670688303189e-882j)  +/-  (7.65e-80, 3.1e-196j)
| (0.0094992054617100444906 - 2.1010733006797996351e-882j)  +/-  (5.57e-79, 2.26e-195j)
| (0.040270023249514782734 - 1.876381876505649895e-882j)  +/-  (6.17e-80, 2.5e-196j)
| (0.045785973087922299093 + 1.2038489058075408774e-882j)  +/-  (1.86e-80, 7.54e-197j)
| (0.0033981531196347042004 - 1.0744101754706366919e-882j)  +/-  (1e-80, 4.07e-197j)
| (0.028544238117114997899 - 2.7202333034589203069e-881j)  +/-  (3.39e-80, 1.38e-196j)
| (0.022508695752204271122 + 1.1770313078605587665e-881j)  +/-  (1.41e-80, 5.72e-197j)
| (0.0033981531196347042004 + 6.0008854057462117457e-883j)  +/-  (1.9e-80, 7.69e-197j)
| (0.034462352862880984706 + 3.0540765750641423965e-882j)  +/-  (2.87e-81, 1.16e-197j)
| (0.016153414369091354278 - 6.3762750190687098897e-882j)  +/-  (5.9e-81, 2.39e-197j)
| (0.040270023249514782734 + 3.2105536615735696204e-881j)  +/-  (3.7e-82, 1.5e-198j)
| (0.045785973087922299093 - 1.6848900588543575549e-881j)  +/-  (5.53e-83, 2.24e-199j)
| (0.0094992054617100444906 + 3.3712874989901373858e-882j)  +/-  (2.67e-81, 1.08e-197j)
| (0.0509262255062443251 - 7.3823593774551749976e-883j)  +/-  (9.83e-84, 3.99e-200j)
| (0.028544238117114997899 - 6.1880251973730530945e-882j)  +/-  (9.3e-82, 3.77e-198j)
| (0.076402861939816253641 - 3.535588147281148247e-882j)  +/-  (5.36e-87, 2.18e-203j)
| (0.0509262255062443251 + 1.1653333506993189907e-881j)  +/-  (1.34e-84, 5.44e-201j)
| (0.055752201033481407359 - 8.968119729334582161e-882j)  +/-  (1.62e-85, 6.56e-202j)
| (0.078186910685741706047 + 1.3951650847846712256e-882j)  +/-  (2.48e-88, 1e-204j)
| (0.055752201033481407359 + 3.7458228685859517267e-883j)  +/-  (2.18e-86, 8.85e-203j)
| (0.07946568358535507086 - 1.6385354390102803709e-882j)  +/-  (1.87e-88, 7.59e-205j)
| (0.06440235226192880107 - 6.1156522077347712884e-882j)  +/-  (1.21e-87, 4.92e-204j)
| (0.068059780498133280356 + 5.247223504779147628e-882j)  +/-  (3.67e-88, 1.49e-204j)
| (0.080266216020850392581 + 2.4551658941007916533e-882j)  +/-  (4.59e-90, 1.86e-206j)
| (0.060277411503208184145 - 6.80012476259940067e-884j)  +/-  (5.33e-89, 2.16e-205j)
| (0.071281424764929392464 - 6.9428432391720902983e-883j)  +/-  (1.97e-90, 7.98e-207j)
| (0.07946568358535507086 - 2.7757341861829768475e-882j)  +/-  (2.41e-90, 9.77e-207j)
| (0.060277411503208184145 + 7.2852406190291173751e-882j)  +/-  (5.66e-89, 2.3e-205j)
| (0.078186910685741706047 + 3.1315921632608718989e-882j)  +/-  (1.8e-90, 7.29e-207j)
| (0.074084074533738661446 + 9.2719626690131788728e-883j)  +/-  (2.04e-91, 8.29e-208j)
| (0.06440235226192880107 - 2.0397456345517800478e-883j)  +/-  (5.63e-91, 2.28e-207j)
| (0.08054560329299817282 - 2.1626895425049353275e-882j)  +/-  (1.78e-91, 7.21e-208j)
| (0.071281424764929392464 - 4.5652662661345815095e-882j)  +/-  (2.94e-91, 1.19e-207j)
| (0.074084074533738661446 + 4.0060522881091970831e-882j)  +/-  (2.21e-91, 8.98e-208j)
| (0.080266216020850392581 + 1.8926129291658456532e-882j)  +/-  (2.35e-92, 9.56e-209j)
| (0.068059780498133280356 + 4.5515244876716000895e-883j)  +/-  (5.12e-93, 2.14e-209j)
| (0.076402861939816253641 - 1.1591971322058324865e-882j)  +/-  (6.51e-93, 2.6e-209j)
