Starting with polynomial:
P : 128*t^7 - 1344*t^5 + 3360*t^3 - 1680*t
Extension levels are: 7 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 128*t^7 - 1344*t^5 + 3360*t^3 - 1680*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 128*t^55 - 138104780946659189734301614609371772622111200576/1615127349649056470704171123998417232551497*t^53 + 1834153847215409021550265539737704077967684101552864/69450476034909428240279358331931940999714371*t^51 - 2436940068711596174829061041402345608014104758950679184/486153332244365997681955508323523586998000597*t^49 + 45530414174232162513953532350224074084402693218943573456/69450476034909428240279358331931940999714371*t^47 - 4360600475969010163967377520849767311084233800900879682184/69450476034909428240279358331931940999714371*t^45 + 670856390521976891119697773478674331939894688236584684020/146829759059005133700379193090765202959227*t^43 - 37987017815014518529817171979319713922414733018223693830970/146829759059005133700379193090765202959227*t^41 + 3401256947424589564712579595210154528511138306186304341317305/293659518118010267400758386181530405918454*t^39 - 243335479756895606875675302759914753613684028593568094639815605/587319036236020534801516772363060811836908*t^37 + 14004071357262982928026364296475476713478705242200617882516018365/1174638072472041069603033544726121623673816*t^35 - 650750997918782833785399969114275505938198198966323108016387152725/2349276144944082139206067089452243247347632*t^33 + 6112110242726347808761768415815898161684975450226823628325051483175/1174638072472041069603033544726121623673816*t^31 - 185496007325744725578210187674049567655664399783684956316644933133075/2349276144944082139206067089452243247347632*t^29 + 4534693813308731793578181711767187183448551396687149587804256523529575/4698552289888164278412134178904486494695264*t^27 - 88866336487672859693771679162726782106282143265483124191263380523133975/9397104579776328556824268357808972989390528*t^25 + 5545908369408775327809699973810117367618099597740158759967720352572168125/75176836638210628454594146862471783915124224*t^23 - 68258110217397409377018541993995568092274350006431321902265121520987145625/150353673276421256909188293724943567830248448*t^21 + 654942959944134779821228699739232281947843838786789515223243796807275885625/300707346552842513818376587449887135660496896*t^19 - 4825522778307851960200220554702524780465736402114003295115725826518826110625/601414693105685027636753174899774271320993792*t^17 + 13386752563018318357274952278403807710322694913886354003312405445593897208125/601414693105685027636753174899774271320993792*t^15 - 54516092620721576717690415769546694106319499838134017685526036338048467940625/1202829386211370055273506349799548542641987584*t^13 + 157386519653354968836883995822175086447330697987948752397850586706328445553125/2405658772422740110547012699599097085283975168*t^11 - 306649258398902640422838059888907275523197075560034109785713768816601786353125/4811317544845480221094025399198194170567950336*t^9 + 749302015084157301415412441382313005114728210635485450062046019860356416659375/19245270179381920884376101596792776682271801344*t^7 - 510069226386900258436188119031190319211909472400547200018085529766016509821875/38490540358763841768752203193585553364543602688*t^5 + 156305546526520048008250012199374274085189841817616721753332490990047469546875/76981080717527683537504406387171106729087205376*t^3 - 13250468592817984083713901914994696499211439223242558191223105000570755671875/153962161435055367075008812774342213458174410752*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:
| (8.192687165980604682 - 2.3175121087323869081e-950j)  +/-  (4.77e-244, 4.77e-244j)
| (-6.4362021199903218798 + 2.1797970171935518021e-950j)  +/-  (1.53e-242, 1.53e-242j)
| (-8.7354080391428453296 - 7.0379975515638514785e-954j)  +/-  (7.06e-245, 7.06e-245j)
| (-7.2595975924701592152 - 9.0072383051545708775e-953j)  +/-  (4.97e-243, 4.97e-243j)
| (-6.8379124058643548983 - 9.8384982419654177874e-954j)  +/-  (1.04e-242, 1.04e-242j)
| (6.4362021199903218798 + 3.0407992250107870528e-957j)  +/-  (1.5e-242, 1.5e-242j)
| (-5.677122023238620496 - 1.6880709165572191448e-964j)  +/-  (1.89e-242, 1.89e-242j)
| (8.7354080391428453296 + 2.2097026137933787273e-966j)  +/-  (7.08e-245, 7.08e-245j)
| (-7.7076412035202307417 - 3.2271109003571419333e-965j)  +/-  (2.01e-243, 2.01e-243j)
| (3.9421397150754408712 + 4.3112359425995086048e-964j)  +/-  (1.34e-243, 1.34e-243j)
| (5.3146083844211061258 - 3.7522402916083203174e-972j)  +/-  (1.6e-242, 1.6e-242j)
| (6.0502586924036557411 + 3.2392320532400307376e-991j)  +/-  (2.07e-242, 2.07e-242j)
| (-1.673551628767471445 + 6.2183494950084032103e-1008j)  +/-  (3.39e-247, 3.39e-247j)
| (-3.9421397150754408712 + 8.4720357536505935535e-1004j)  +/-  (1.27e-243, 1.27e-243j)
| (6.8379124058643548983 + 2.6589952847046995229e-1008j)  +/-  (9.95e-243, 9.95e-243j)
| (7.2595975924701592152 + 2.2046589506908199667e-1016j)  +/-  (5.08e-243, 5.08e-243j)
| (9.3900017084958154094 - 7.3231402084992663866e-1023j)  +/-  (4.17e-246, 4.17e-246j)
| (-9.3900017084958154094 - 1.8975386826098562302e-1022j)  +/-  (4.37e-246, 4.37e-246j)
| (-1.4133146616364438735 + 5.4170498387905277154e-1025j)  +/-  (8.96e-249, 8.96e-249j)
| (-4.2757764679232690084 + 1.1371686198787446905e-1017j)  +/-  (2.89e-243, 2.89e-243j)
| (-8.192687165980604682 + 3.115278353038845203e-1020j)  +/-  (4.86e-244, 4.86e-244j)
| (0.81628788285896466304 + 1.3475409450721154015e-1036j)  +/-  (2.01e-251, 2.01e-251j)
| (2.9688560215759828785 - 1.8659813173975624127e-1029j)  +/-  (3.53e-245, 3.53e-245j)
| (-2.9688560215759828785 - 3.368460119109803917e-1029j)  +/-  (3.44e-245, 3.44e-245j)
| (-6.0502586924036557411 + 3.1502016204520813409e-1026j)  +/-  (1.91e-242, 1.91e-242j)
| (3.6134918794861454371 + 2.0684189526378993222e-1034j)  +/-  (4.52e-244, 4.52e-244j)
| (2.3382490663462765125 - 6.2364523043002216509e-1037j)  +/-  (2.21e-246, 2.21e-246j)
| (5.677122023238620496 - 7.4964207360139754274e-1032j)  +/-  (1.94e-242, 1.94e-242j)
| (-1.1123332516564010304 + 5.5105054696756044241e-1045j)  +/-  (3.53e-250, 3.53e-250j)
| (0.25614280844512970932 - 5.8097868821030293308e-1048j)  +/-  (9.4e-254, 9.4e-254j)
| (-2.0276192738468590235 + 1.2671482723158316374e-1041j)  +/-  (5.41e-247, 5.41e-247j)
| (4.9610470826453385278 - 1.7449995846267872806e-1036j)  +/-  (1.05e-242, 1.05e-242j)
| (1.673551628767471445 + 4.7795725400491783805e-1046j)  +/-  (3.45e-247, 3.45e-247j)
| (-3.2892309304963956654 - 1.0288427885747605478e-1040j)  +/-  (1.31e-244, 1.31e-244j)
| (3.2892309304963956654 + 1.8488563514485018185e-1048j)  +/-  (1.28e-244, 1.28e-244j)
| (-4.9610470826453385278 + 1.221797417041756725e-1046j)  +/-  (1e-242, 1e-242j)
| (-5.3146083844211061258 + 7.2358694855162557804e-1057j)  +/-  (1.54e-242, 1.54e-242j)
| (1.1123332516564010304 + 1.4099149514209441675e-1067j)  +/-  (3.84e-250, 3.84e-250j)
| (4.2757764679232690084 - 3.8547998826998291792e-1059j)  +/-  (2.93e-243, 2.93e-243j)
| (1.4133146616364438735 - 3.1835982348727449254e-1072j)  +/-  (9.3e-249, 9.3e-249j)
| (-0.25614280844512970932 - 3.9580139313113045267e-1077j)  +/-  (9.48e-254, 9.48e-254j)
| (2.6519613568352334924 - 4.2824522598481944032e-1069j)  +/-  (9.38e-246, 9.38e-246j)
| (1.7231856312545477106 - 1.9485707899690038418e-1070j)  +/-  (4.81e-247, 4.81e-247j)
| (7.7076412035202307417 - 1.1673001225202737417e-1066j)  +/-  (2.13e-243, 2.13e-243j)
| (-1.7231856312545477106 - 4.8437530976630155986e-1074j)  +/-  (4.73e-247, 4.73e-247j)
| (-2.3382490663462765125 - 2.9970332640465156128e-1074j)  +/-  (2.2e-246, 2.2e-246j)
| (-2.6519613568352334924 - 2.0005214792019790904e-1073j)  +/-  (9e-246, 9e-246j)
| (-0.81628788285896466304 - 2.6487641592486441213e-1078j)  +/-  (2.38e-251, 2.38e-251j)
| (0.52885747979862951442 - 5.5746748598726585649e-1079j)  +/-  (1.35e-252, 1.35e-252j)
| (4.6151228497521730794 - 7.8602041926364536932e-1071j)  +/-  (5.91e-243, 5.91e-243j)
| (-3.6134918794861454371 + 1.1886950146398149249e-1073j)  +/-  (4.39e-244, 4.39e-244j)
| (-0.52885747979862951442 - 2.5968696792685935272e-1083j)  +/-  (1.22e-252, 1.22e-252j)
| (-4.6151228497521730794 + 4.8259511055209308196e-1079j)  +/-  (6.01e-243, 6.01e-243j)
| (3.7605156101803242516e-1112 + 2.2060733535389532268e-1112j)  +/-  (2.4e-1110, 2.4e-1110j)
| (2.0276192738468590235 + 3.8947246473458999259e-1085j)  +/-  (5.37e-247, 5.37e-247j)
-------------------------------------------------
The weights are:
| (2.0336543140369021379e-30 + 4.7825729843778774295e-976j)  +/-  (1.27e-75, 9.69e-197j)
| (2.2676520340508187448e-19 + 3.4225994738673964472e-968j)  +/-  (2.78e-70, 2.12e-191j)
| (2.3875373317420968647e-34 + 2.7039949353261259663e-977j)  +/-  (5.9e-78, 4.5e-199j)
| (3.165032421699447327e-24 - 1.5402380653565035092e-971j)  +/-  (1.45e-73, 1.1e-194j)
| (1.1449571619808186931e-21 + 7.2329823096000268184e-970j)  +/-  (3.62e-72, 2.76e-193j)
| (2.2676520340508187448e-19 + 3.8402190842529546954e-970j)  +/-  (1.75e-74, 1.33e-195j)
| (2.0869290100203963789e-15 + 9.2883139596778616561e-967j)  +/-  (1.09e-69, 8.3e-191j)
| (2.3875373317420968647e-34 - 4.0970658682493757261e-978j)  +/-  (3.19e-81, 2.43e-202j)
| (4.146810903410601335e-27 + 2.9978014843979235186e-973j)  +/-  (1.38e-75, 1.05e-196j)
| (3.3278036697573961064e-08 - 8.9931998793846005601e-964j)  +/-  (7.45e-66, 5.67e-187j)
| (1.092400387839618032e-13 - 5.3609632170431654932e-967j)  +/-  (1.45e-71, 1.1e-192j)
| (2.7075814603887060469e-17 - 5.2560738651906375038e-969j)  +/-  (7.77e-74, 5.92e-195j)
| (0.00094331228837086503309 - 1.9754846567933729428e-958j)  +/-  (1.43e-52, 1.09e-173j)
| (3.3278036697573961064e-08 - 3.7422134542794329103e-963j)  +/-  (1.55e-67, 1.18e-188j)
| (1.1449571619808186931e-21 - 2.189287203916859548e-971j)  +/-  (1.06e-76, 8.07e-198j)
| (3.165032421699447327e-24 + 9.2590309295697843902e-973j)  +/-  (2.52e-78, 1.92e-199j)
| (2.1732314072909069522e-39 + 9.4943338750767937408e-981j)  +/-  (2.47e-85, 1.88e-206j)
| (2.1732314072909069522e-39 - 5.0874123564546775524e-980j)  +/-  (3.27e-86, 2.49e-207j)
| (0.023157919512848026195 + 6.4001692133913667871e-959j)  +/-  (2.07e-55, 1.57e-176j)
| (2.1794317943049601562e-09 + 8.3962959319320197336e-964j)  +/-  (7.52e-72, 5.73e-193j)
| (2.0336543140369021379e-30 - 3.9797620361140232342e-975j)  +/-  (4.19e-82, 3.19e-203j)
| (0.084771535888632944779 + 5.0587360082131118921e-959j)  +/-  (1.34e-57, 1.02e-178j)
| (2.6712801961289924187e-05 + 7.8711650353926771947e-962j)  +/-  (9.99e-69, 7.61e-190j)
| (2.6712801961289924187e-05 + 2.1350060631304592038e-961j)  +/-  (4.47e-68, 3.41e-189j)
| (2.7075814603887060469e-17 - 1.7004353627043548445e-967j)  +/-  (2.37e-76, 1.81e-197j)
| (3.9300879322083482635e-07 + 4.3194698378789977786e-963j)  +/-  (2.97e-71, 2.27e-192j)
| (0.00074365062450278301418 + 1.2672356389506664551e-960j)  +/-  (7.51e-67, 5.72e-188j)
| (2.0869290100203963789e-15 + 5.8206964373303034954e-968j)  +/-  (7.45e-77, 5.68e-198j)
| (0.048943274988886487305 - 5.595000928232324058e-959j)  +/-  (9.84e-60, 7.5e-181j)
| (0.13921190870491268766 + 9.3772970505022732622e-959j)  +/-  (8.92e-60, 6.8e-181j)
| (0.0028567620134387483661 - 1.1570153306542092552e-959j)  +/-  (8.15e-66, 6.21e-187j)
| (4.0372034680231287173e-12 + 4.1968600076086453132e-966j)  +/-  (1.24e-75, 9.47e-197j)
| (0.00094331228837086503309 - 1.1601572132778458322e-958j)  +/-  (2.99e-65, 2.28e-186j)
| (3.6388007702942076118e-06 - 5.8888438011111836194e-962j)  +/-  (1.37e-71, 1.04e-192j)
| (3.6388007702942076118e-06 - 1.9055426582063062766e-962j)  +/-  (3.16e-71, 2.41e-192j)
| (4.0372034680231287173e-12 + 3.2424787616098958196e-965j)  +/-  (8.11e-77, 6.18e-198j)
| (1.092400387839618032e-13 - 5.6164721481222398065e-966j)  +/-  (2.24e-77, 1.71e-198j)
| (0.048943274988886487305 - 3.946082907724735911e-959j)  +/-  (2.08e-65, 1.58e-186j)
| (2.1794317943049601562e-09 + 1.6934196327296811625e-964j)  +/-  (2.22e-75, 1.69e-196j)
| (0.023157919512848026195 + 4.0954701536911988406e-959j)  +/-  (2.19e-67, 1.67e-188j)
| (0.13921190870491268766 + 1.0154604973060925788e-958j)  +/-  (3.61e-67, 2.75e-188j)
| (0.00015694630226962217038 - 3.1325324689464984048e-961j)  +/-  (1.98e-71, 1.5e-192j)
| (0.0081434754222234443023 + 9.8070125985811771359e-959j)  +/-  (3.37e-68, 2.57e-189j)
| (4.146810903410601335e-27 - 2.6954265675731832638e-974j)  +/-  (1.62e-85, 1.24e-206j)
| (0.0081434754222234443023 + 1.6978258358026461973e-958j)  +/-  (1.65e-69, 1.26e-190j)
| (0.00074365062450278301418 + 2.7133588910918580094e-960j)  +/-  (9.89e-73, 7.54e-194j)
| (0.00015694630226962217038 - 7.5229697908601330597e-961j)  +/-  (9.12e-74, 6.95e-195j)
| (0.084771535888632944779 + 6.5282752599389403287e-959j)  +/-  (6.72e-71, 5.13e-192j)
| (0.11995136334935790869 - 6.9907311568571113853e-959j)  +/-  (1.75e-70, 1.33e-191j)
| (1.0860797263074948618e-10 - 2.84341234524374271e-965j)  +/-  (4.86e-78, 3.69e-199j)
| (3.9300879322083482635e-07 + 1.5378410627539014626e-962j)  +/-  (1.59e-76, 1.22e-197j)
| (0.11995136334935790869 - 8.2424150360203988805e-959j)  +/-  (4.57e-72, 3.64e-193j)
| (1.0860797263074948618e-10 - 1.7255080712635666066e-964j)  +/-  (7.67e-79, 5.84e-200j)
| (0.14217814144561331053 - 1.0824017740572151768e-958j)  +/-  (4.03e-72, 3.36e-193j)
| (0.0028567620134387483661 - 6.0266264922232355528e-960j)  +/-  (1.6e-73, 1.12e-194j)
