Starting with polynomial:
P : 2268783825/65536*t^18 - 9917826435/65536*t^16 + 4508102925/16384*t^14 - 4411154475/16384*t^12 + 5019589575/32768*t^10 - 1673196525/32768*t^8 + 156165009/16384*t^6 - 14549535/16384*t^4 + 2078505/65536*t^2 - 12155/65536
Extension levels are: 18 19
-------------------------------------------------
Trying to find an order 19 Kronrod extension for:
P1 : 2268783825/65536*t^18 - 9917826435/65536*t^16 + 4508102925/16384*t^14 - 4411154475/16384*t^12 + 5019589575/32768*t^10 - 1673196525/32768*t^8 + 156165009/16384*t^6 - 14549535/16384*t^4 + 2078505/65536*t^2 - 12155/65536
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2268783825/65536*t^37 - 272621385905/851968*t^35 + 1851310344692725/1362296832*t^33 - 8029678148247511525/2284571787264*t^31 + 5649602524679265100025/913257571958784*t^29 - 13129216950455215903094725/1674001129400451072*t^27 + 851142879683671291770421770479/115099295654186814357504*t^25 - 402782543171944966331236859272525/76310833018725857919025152*t^23 + 260380430575859786671071697168928218025/90539598321731443934890743791616*t^21 - 25972575433171780709165945538431107441775/21690700912220518782687396762648576*t^19 + 107433300454893130871075079842332165925/283538574015954493891338519773184*t^17 - 178674634974610936143539550240599973445/1984770018111681457239369638412288*t^15 + 16094740239736158509580942084609425/1022374665922912838550499470336*t^13 - 5361000957536406052379975086942475/2726332442461100902801331920896*t^11 + 610020696904709476641000860049925/3635109923281467870401775894528*t^9 - 6284168272845163663383425219068975/687035775500197427505935644065792*t^7 + 18689195795795389847646427798375/65431978619066421667231966101504*t^5 - 823917237768556523080128682625/196295935857199265001695898304512*t^3 + 37915766944646708900332903375/2061107326500592282517806932197376*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:
| (-0.99859916541268279031 + 1.3391782167586554725e-906j)  +/-  (4.85e-243, 4.85e-243j)
| (-0.99156516842093094673 + 9.098503135647486436e-915j)  +/-  (1.16e-242, 1.16e-242j)
| (-0.92750450157334331639 + 8.3373246918030340398e-921j)  +/-  (6.32e-243, 6.32e-243j)
| (0.99859916541268279031 - 5.5954146481880860833e-927j)  +/-  (4.58e-243, 4.58e-243j)
| (0.92750450157334331639 + 2.77025857242803101e-940j)  +/-  (5.63e-243, 5.63e-243j)
| (0.95582394957139775518 + 2.6734628444366778082e-957j)  +/-  (9.82e-243, 9.82e-243j)
| (-0.084775013041735301242 - 2.2563487180750719917e-980j)  +/-  (2.1e-254, 2.1e-254j)
| (-0.89260246649755573921 + 5.6979073914549552129e-968j)  +/-  (3e-243, 3e-243j)
| (-0.97731038077486095188 - 3.8481925478331222327e-972j)  +/-  (1.35e-242, 1.35e-242j)
| (0.99156516842093094673 - 2.743486536727784486e-980j)  +/-  (1.19e-242, 1.19e-242j)
| (0.89260246649755573921 + 1.9617284753536749208e-1001j)  +/-  (2.85e-243, 2.85e-243j)
| (0.97731038077486095188 + 3.14065603068147974e-1014j)  +/-  (1.4e-242, 1.4e-242j)
| (-0.95582394957139775518 + 8.5955392251053299973e-1022j)  +/-  (9.86e-243, 9.86e-243j)
| (-0.85124937343371764175 + 7.1573602406062955918e-1029j)  +/-  (1.03e-243, 1.03e-243j)
| (0.48750904258507848736 - 1.07781049658241109e-1037j)  +/-  (2.7e-248, 2.7e-248j)
| (0.75038048170335763518 - 1.4126157105903695896e-1032j)  +/-  (7.81e-245, 7.81e-245j)
| (0.80370495897252311568 + 6.6467588333147014816e-1033j)  +/-  (3.21e-244, 3.21e-244j)
| (-0.41175116146284264604 - 9.9866018787137984274e-1038j)  +/-  (2.03e-249, 2.03e-249j)
| (-0.80370495897252311568 - 6.9626742477009517996e-1032j)  +/-  (3.21e-244, 3.21e-244j)
| (-0.75038048170335763518 - 1.4731961773451255176e-1034j)  +/-  (7.8e-245, 7.8e-245j)
| (0.85124937343371764175 - 3.1765339512718085104e-1036j)  +/-  (1.05e-243, 1.05e-243j)
| (0.69168704306035320787 + 2.076541427960737179e-1037j)  +/-  (1.39e-245, 1.39e-245j)
| (0.25188622569150550959 + 9.3064655299992968701e-1045j)  +/-  (8.65e-252, 8.65e-252j)
| (-0.69168704306035320787 + 2.024553377142261625e-1038j)  +/-  (1.32e-245, 1.32e-245j)
| (-0.55977083107394753461 - 2.0611394834737367735e-1039j)  +/-  (2.6e-247, 2.6e-247j)
| (-1.0380476783039870521e-1052 + 1.618110596206626614e-1052j)  +/-  (7.11e-1051, 7.11e-1051j)
| (0.6280037548638336526 - 7.5934621778930217337e-1040j)  +/-  (2.15e-246, 2.15e-246j)
| (0.41175116146284264604 - 4.2338927935644539393e-1045j)  +/-  (2.04e-249, 2.04e-249j)
| (-0.25188622569150550959 - 1.3738284326371012115e-1045j)  +/-  (8.45e-252, 8.45e-252j)
| (-0.6280037548638336526 + 2.2203454220010815955e-1042j)  +/-  (2.18e-246, 2.18e-246j)
| (-0.16893682806654922601 + 1.3558395682905730155e-1048j)  +/-  (4.82e-253, 4.82e-253j)
| (0.33302342279140787912 + 8.4558626150101853809e-1046j)  +/-  (1.48e-250, 1.48e-250j)
| (0.55977083107394753461 + 3.4503702974005485734e-1044j)  +/-  (2.65e-247, 2.65e-247j)
| (0.084775013041735301242 + 2.6647046203850648079e-1051j)  +/-  (2.1e-254, 2.1e-254j)
| (-0.48750904258507848736 + 1.6733291004786386885e-1045j)  +/-  (2.53e-248, 2.53e-248j)
| (-0.33302342279140787912 - 6.9846737150617164387e-1048j)  +/-  (1.43e-250, 1.43e-250j)
| (0.16893682806654922601 - 7.3689333402524084241e-1050j)  +/-  (4.59e-253, 4.59e-253j)
-------------------------------------------------
The weights are:
| (0.0037735101284401511184 + 1.4215175171734729904e-906j)  +/-  (2.96e-80, 1.52e-198j)
| (0.010554430567544665778 - 2.1059762948410902054e-906j)  +/-  (2.12e-80, 1.09e-198j)
| (0.03163401984884406063 + 5.9587580413961904723e-907j)  +/-  (2.2e-81, 1.13e-199j)
| (0.0037735101284401511184 + 2.5302457216464326249e-909j)  +/-  (2.4e-81, 1.24e-199j)
| (0.03163401984884406063 + 2.1994449593017570703e-908j)  +/-  (9.88e-82, 5.08e-200j)
| (0.02496440275374001994 - 1.6958894982449857502e-908j)  +/-  (7.53e-82, 3.87e-200j)
| (0.084569333544076321724 - 1.2393892684179155577e-907j)  +/-  (1.8e-83, 9.27e-202j)
| (0.038153758325176829752 - 4.8353383916079412955e-907j)  +/-  (3.72e-82, 1.91e-200j)
| (0.017933376205711423259 + 1.1281051005819616726e-906j)  +/-  (8.27e-82, 4.25e-200j)
| (0.010554430567544665778 - 7.4433204300142077368e-909j)  +/-  (4.11e-82, 2.11e-200j)
| (0.038153758325176829752 - 2.7100754315343865004e-908j)  +/-  (1.86e-83, 9.56e-202j)
| (0.017933376205711423259 + 1.2154395760536098528e-908j)  +/-  (3.39e-82, 1.74e-200j)
| (0.02496440275374001994 - 7.7486122898266706919e-907j)  +/-  (9.85e-83, 5.06e-201j)
| (0.044509195165090033045 + 4.0451868580369435821e-907j)  +/-  (3.66e-84, 1.88e-202j)
| (0.074097027381314987168 + 6.6771129999340609976e-908j)  +/-  (1.27e-86, 6.55e-205j)
| (0.056072390382993766574 + 4.2934132136736777677e-908j)  +/-  (4.02e-86, 2.06e-204j)
| (0.050507571502102176398 - 3.7474666862186952664e-908j)  +/-  (1.06e-85, 5.47e-204j)
| (0.077332070164638382306 - 1.7651746652840461856e-907j)  +/-  (2.39e-88, 1.23e-206j)
| (0.050507571502102176398 - 3.4655081782403146978e-907j)  +/-  (1.07e-86, 5.49e-205j)
| (0.056072390382993766574 + 3.0251922272477733699e-907j)  +/-  (1.67e-87, 8.6e-206j)
| (0.044509195165090033045 + 3.2221959242049564134e-908j)  +/-  (1.18e-86, 6.05e-205j)
| (0.061253565791358645961 - 4.8568000629634465931e-908j)  +/-  (3.81e-88, 1.96e-206j)
| (0.082143999783329841188 - 8.7957870980553820502e-908j)  +/-  (1.12e-90, 5.78e-209j)
| (0.061253565791358645961 - 2.6748315119622324654e-907j)  +/-  (2.77e-89, 1.42e-207j)
| (0.07033745002422444224 - 2.1455211249104256656e-907j)  +/-  (2.14e-90, 1.1e-208j)
| (0.084878138612676931556 + 1.1382640553285552756e-907j)  +/-  (2.18e-91, 1.12e-209j)
| (0.066039958192817086563 + 5.4370536145744112869e-908j)  +/-  (3.41e-90, 1.75e-208j)
| (0.077332070164638382306 - 7.3449072138514196075e-908j)  +/-  (3.8e-91, 1.95e-209j)
| (0.082143999783329841188 - 1.472989509625115791e-907j)  +/-  (1.87e-92, 9.6e-211j)
| (0.066039958192817086563 + 2.3864103641242401559e-907j)  +/-  (1.97e-91, 1.01e-209j)
| (0.083654851437162495646 + 1.3502933542425574421e-907j)  +/-  (2.12e-92, 1.09e-210j)
| (0.080030019495096204931 + 8.0484109420738981155e-908j)  +/-  (1.21e-92, 6.23e-211j)
| (0.07033745002422444224 - 6.0416683055206694684e-908j)  +/-  (3.25e-92, 1.68e-210j)
| (0.084569333544076321724 - 1.0454225974763474772e-907j)  +/-  (2.01e-93, 1.04e-211j)
| (0.074097027381314987168 + 1.9415191159321075496e-907j)  +/-  (1.16e-93, 6.18e-212j)
| (0.080030019495096204931 + 1.6102518651043823049e-907j)  +/-  (8.91e-94, 4.78e-212j)
| (0.083654851437162495646 + 9.5953148053575422451e-908j)  +/-  (7.6e-94, 3.67e-212j)
