Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8*t^51 - 9379904639896719869542548/1869618530014239455359*t^49 + 2712077904355920643925733624/1869618530014239455359*t^47 - 20887300115893944228613338732/81287762174532150233*t^45 + 2540586260148730622376293304405/81287762174532150233*t^43 - 450844265050578767750980480894935/162575524349064300466*t^41 + 30262007853750280315221496719312345/162575524349064300466*t^39 - 3145685182631694217441051641129408795/325151048698128600932*t^37 + 1028277585356073646155476110137832105215/2601208389585028807456*t^35 - 66708888101444100572481533794316088178725/5202416779170057614912*t^33 + 431885536528695326617583503361498288717025/1300604194792514403728*t^31 - 17902179217123155372491530082857939444211475/2601208389585028807456*t^29 + 1187372641304418682953950865158634139224390075/10404833558340115229824*t^27 - 31410841200754604013971321257184788153542699225/20809667116680230459648*t^25 + 329599511638820395587706812375926298728859283125/20809667116680230459648*t^23 - 5442102461336983142919540081718567570325208219375/41619334233360460919296*t^21 + 559120781768415539427274652443133714719483935654375/665909347733767374708736*t^19 - 5500373980676034244294564056958520571110258377348125/1331818695467534749417472*t^17 + 10155895740065123007105690263201537133413003536993125/665909347733767374708736*t^15 - 54833189434013809107391565823274537793676991119009375/1331818695467534749417472*t^13 + 417625196690966172453226304445079688935821593204053125/5327274781870138997669888*t^11 - 1067396827086397850608757702417809003307283145828134375/10654549563740277995339776*t^9 + 851738217647749489895079613911763451198793681762028125/10654549563740277995339776*t^7 - 757964649145972610934670260356793726595913701235334375/21309099127480555990679552*t^5 + 1230425455805217450376678266975759344075171227523390625/170472793019844447925436416*t^3 - 143709179564057665903468732002823497258858354358546875/340945586039688895850872832*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:
| (-8.5700202384071024791 + 3.3338321520450932573e-601j)  +/-  (3.95e-245, 3.95e-245j)
| (-6.6666718593393716977 - 2.7858073825694518051e-606j)  +/-  (4.86e-243, 4.86e-243j)
| (6.6666718593393716977 - 3.3310269069679121657e-617j)  +/-  (4.74e-243, 4.74e-243j)
| (-2.7889806376463293786 - 5.9510999322117738179e-618j)  +/-  (5.22e-246, 5.22e-246j)
| (-9.2267496180424291308 - 2.9080853714738199525e-617j)  +/-  (2.54e-246, 2.54e-246j)
| (-8.0255602104967969945 - 1.3316897620405875901e-618j)  +/-  (2.39e-244, 2.39e-244j)
| (8.5700202384071024791 - 1.9670817031223505949e-633j)  +/-  (3.75e-245, 3.75e-245j)
| (-3.4349393490711803499 - 5.1363799840814673751e-629j)  +/-  (8.75e-245, 8.75e-245j)
| (8.0255602104967969945 - 2.8731703891059940998e-636j)  +/-  (2.39e-244, 2.39e-244j)
| (6.2638344140938072923 + 5.2939564049118476683e-635j)  +/-  (7.26e-243, 7.26e-243j)
| (1.5334453204084893219 + 6.0887043052947521638e-647j)  +/-  (2.76e-249, 2.76e-249j)
| (7.5389965211059048878 + 2.7245039920470539786e-640j)  +/-  (9.54e-244, 9.54e-244j)
| (-2.15630381367847879 + 4.1628983347393799793e-642j)  +/-  (1.76e-247, 1.76e-247j)
| (-7.5389965211059048878 - 6.6614227797822403993e-650j)  +/-  (9.81e-244, 9.81e-244j)
| (7.0895921862405081587 + 1.6733280720517958467e-663j)  +/-  (2.56e-243, 2.56e-243j)
| (3.1100574987192727044 + 7.2207528096309240999e-671j)  +/-  (2.34e-245, 2.34e-245j)
| (2.7889806376463293786 + 7.5152840721621006818e-674j)  +/-  (5.47e-246, 5.47e-246j)
| (-5.5027837421928912219 - 4.5414961319349766192e-671j)  +/-  (7.83e-243, 7.83e-243j)
| (-0.61103852535792806025 - 3.9949221642557580765e-695j)  +/-  (1.69e-252, 1.69e-252j)
| (5.1394129208449048223 - 2.9895772778459224287e-686j)  +/-  (5.1e-243, 5.1e-243j)
| (3.7641852162738181679 + 2.3217262527496087047e-687j)  +/-  (2.86e-244, 2.86e-244j)
| (2.15630381367847879 + 4.1498649980267196397e-691j)  +/-  (1.71e-247, 1.71e-247j)
| (9.2267496180424291308 + 1.1852573815367673821e-689j)  +/-  (2.22e-246, 2.22e-246j)
| (-4.0984353256184650309 + 1.7611231849064598869e-685j)  +/-  (8.03e-244, 8.03e-244j)
| (-3.7641852162738181679 - 9.6106751189885564475e-702j)  +/-  (2.87e-244, 2.87e-244j)
| (5.8768609235547790427 - 1.3966858664421850208e-707j)  +/-  (8.12e-243, 8.12e-243j)
| (4.4384356816952250167 + 7.5040813417956443431e-716j)  +/-  (1.85e-243, 1.85e-243j)
| (2.4712122566300334814 + 2.9463379521667088914e-727j)  +/-  (1.04e-246, 1.04e-246j)
| (-7.0895921862405081587 + 3.0118971796221107669e-729j)  +/-  (2.39e-243, 2.39e-243j)
| (-0.91739014014663610017 - 2.0390704837727753367e-751j)  +/-  (2.36e-251, 2.36e-251j)
| (-2.4712122566300334814 + 7.5412383088055031487e-744j)  +/-  (1.04e-246, 1.04e-246j)
| (0.91739014014663610017 - 7.3668934018878077543e-752j)  +/-  (2.46e-251, 2.46e-251j)
| (3.4349393490711803499 - 8.8596129508865478234e-745j)  +/-  (8.57e-245, 8.57e-245j)
| (-3.1100574987192727044 - 4.2834866575446001593e-743j)  +/-  (2.24e-245, 2.24e-245j)
| (4.0984353256184650309 - 4.7740810531262574369e-753j)  +/-  (7.09e-244, 7.09e-244j)
| (-6.2638344140938072923 + 1.7694221981711163127e-771j)  +/-  (7.17e-243, 7.17e-243j)
| (-5.8768609235547790427 + 1.1294159309445262089e-802j)  +/-  (8.57e-243, 8.57e-243j)
| (0.61103852535792806025 + 3.1300172858368598272e-830j)  +/-  (1.48e-252, 1.48e-252j)
| (-1.5334453204084893219 - 1.9183651080113121877e-826j)  +/-  (2.71e-249, 2.71e-249j)
| (-1.2247448713915890491 - 9.3145563584387972055e-827j)  +/-  (3.02e-250, 3.02e-250j)
| (0.30535307244215448805 - 2.4587717216949329914e-852j)  +/-  (8.96e-254, 8.96e-254j)
| (-5.1394129208449048223 - 1.0747441743807221499e-818j)  +/-  (5.51e-243, 5.51e-243j)
| (1.8438431744621959214 - 5.5595400162538187531e-836j)  +/-  (2.19e-248, 2.19e-248j)
| (1.2247448713915890491 + 3.7744728174246523035e-837j)  +/-  (3.2e-250, 3.2e-250j)
| (4.7850713467207361428 + 5.5857879868294351076e-829j)  +/-  (3.26e-243, 3.26e-243j)
| (-0.30535307244215448805 - 1.3498247691126003862e-841j)  +/-  (1.01e-253, 1.01e-253j)
| (-4.4384356816952250167 - 1.4620234328019293375e-830j)  +/-  (1.75e-243, 1.75e-243j)
| (5.5027837421928912219 - 2.0794152270623411643e-841j)  +/-  (7.51e-243, 7.51e-243j)
| (-1.4992014153521642663e-858 - 1.0344371030577076804e-858j)  +/-  (9.29e-857, 9.29e-857j)
| (-4.7850713467207361428 - 7.2944403616282059947e-840j)  +/-  (3.36e-243, 3.36e-243j)
| (-1.8438431744621959214 - 1.5296158520875993481e-851j)  +/-  (2.28e-248, 2.28e-248j)
-------------------------------------------------
The weights are:
| (4.1913151443524666204e-33 + 2.0601968562476857288e-632j)  +/-  (5.91e-77, 2.47e-197j)
| (1.1597214370749411183e-20 - 2.1719386388420567275e-625j)  +/-  (3.95e-72, 1.65e-192j)
| (1.1597214370749411183e-20 - 2.2395620826071192058e-627j)  +/-  (6.96e-74, 2.9e-194j)
| (7.5433174333340065707e-05 + 9.5027254169013178406e-619j)  +/-  (2.89e-55, 1.21e-175j)
| (4.5545764134049611714e-38 - 1.3038954454644265256e-635j)  +/-  (4.27e-79, 1.78e-199j)
| (3.0676733925735621516e-29 - 1.3018033866266172829e-630j)  +/-  (7.36e-76, 3.07e-196j)
| (4.1913151443524666204e-33 - 9.8023852272735701305e-634j)  +/-  (1.33e-80, 5.54e-201j)
| (1.3860167606592844712e-06 + 1.4571221788006283674e-619j)  +/-  (6.19e-62, 2.59e-182j)
| (3.0676733925735621516e-29 + 9.1467710500091092515e-632j)  +/-  (2.87e-79, 1.2e-199j)
| (2.0298692584829266215e-18 + 3.184902816063569169e-626j)  +/-  (4.3e-75, 1.79e-195j)
| (0.016628280665674163954 + 7.3096130370550661158e-618j)  +/-  (3.18e-52, 1.33e-172j)
| (5.4417421770980081128e-26 - 4.1742513102858070113e-630j)  +/-  (1.88e-78, 7.84e-199j)
| (0.0016924308094641567765 + 4.0859662234684299182e-618j)  +/-  (1.25e-58, 5.21e-179j)
| (5.4417421770980081128e-26 + 7.896880712792195612e-629j)  +/-  (5.29e-79, 2.21e-199j)
| (3.6400547119940767391e-23 + 1.1653019439287303762e-628j)  +/-  (2.62e-77, 1.09e-197j)
| (1.1475913967099266477e-05 - 1.4043750139037081359e-619j)  +/-  (1.16e-66, 4.83e-187j)
| (7.5433174333340065707e-05 + 3.8436660381105905931e-619j)  +/-  (4.27e-65, 1.78e-185j)
| (1.4690767306462140839e-14 + 3.4115360878338831486e-623j)  +/-  (1.98e-76, 8.26e-197j)
| (0.11883431383580602176 - 2.7767606185570476148e-617j)  +/-  (1.19e-57, 4.98e-178j)
| (6.8356871979679133409e-13 - 2.2821375659856020941e-623j)  +/-  (1.05e-74, 4.37e-195j)
| (1.3137889032621919623e-07 - 1.315132046299419479e-620j)  +/-  (2.3e-70, 9.62e-191j)
| (0.0016924308094641567765 + 2.0672041765232660693e-618j)  +/-  (2.88e-63, 1.2e-183j)
| (4.5545764134049611714e-38 + 2.9217073310001776068e-636j)  +/-  (1.66e-85, 6.94e-206j)
| (9.6410356202945392398e-09 + 1.4321053573692604803e-620j)  +/-  (1.35e-73, 5.63e-194j)
| (1.3137889032621919623e-07 - 4.835407031514498499e-620j)  +/-  (3.94e-72, 1.65e-192j)
| (2.1472742383524898566e-16 - 3.5170082268197634091e-625j)  +/-  (7.97e-77, 3.33e-197j)
| (5.3881768617936231382e-10 - 7.3529800749765528339e-622j)  +/-  (5.97e-74, 2.49e-194j)
| (0.0003974571839313526418 - 9.4078387089540243172e-619j)  +/-  (2.5e-67, 1.04e-187j)
| (3.6400547119940767391e-23 - 4.2033785221932944101e-627j)  +/-  (9.98e-83, 4.16e-203j)
| (0.074605595148132034529 + 2.294737329613986314e-617j)  +/-  (3.72e-64, 1.55e-184j)
| (0.0003974571839313526418 - 2.0727947775407505188e-618j)  +/-  (6.38e-70, 2.66e-190j)
| (0.074605595148132034529 + 1.7320696573332780664e-617j)  +/-  (3.19e-65, 1.33e-185j)
| (1.3860167606592844712e-06 + 4.5676765707822209422e-620j)  +/-  (2.83e-71, 1.18e-191j)
| (1.1475913967099266477e-05 - 3.9332699534700000116e-619j)  +/-  (4.13e-72, 1.73e-192j)
| (9.6410356202945392398e-09 + 3.3296468331145447636e-621j)  +/-  (1.89e-73, 7.9e-194j)
| (2.0298692584829266215e-18 + 1.0890615677667473191e-624j)  +/-  (1.15e-81, 4.81e-202j)
| (2.1472742383524898566e-16 - 5.8866744266558101897e-624j)  +/-  (4.98e-81, 2.08e-201j)
| (0.11883431383580602176 - 2.3038663685829404526e-617j)  +/-  (2.66e-69, 1.11e-189j)
| (0.016628280665674163954 + 1.1762709417416616218e-617j)  +/-  (3.99e-71, 1.66e-191j)
| (0.038769621784339770603 - 1.7238334595388143469e-617j)  +/-  (3.62e-70, 1.51e-190j)
| (0.15699686452224821686 + 2.7840054859981794386e-617j)  +/-  (9.29e-70, 3.88e-190j)
| (6.8356871979679133409e-13 - 1.833094536219191109e-622j)  +/-  (5.11e-80, 2.13e-200j)
| (0.0058641027043079592745 - 4.0907851372540886514e-618j)  +/-  (2.51e-72, 1.04e-192j)
| (0.038769621784339770603 - 1.1818667577877683102e-617j)  +/-  (2.42e-71, 1.01e-191j)
| (2.2483003946315429269e-11 + 1.4024077400239560386e-622j)  +/-  (6.26e-79, 2.61e-199j)
| (0.15699686452224821686 + 3.0556437684908242125e-617j)  +/-  (1.66e-73, 6.91e-194j)
| (5.3881768617936231382e-10 - 3.7733223472928699665e-621j)  +/-  (2.79e-79, 1.16e-199j)
| (1.4690767306462140839e-14 + 3.1206960145782827773e-624j)  +/-  (4.66e-81, 1.94e-201j)
| (0.17224579331822022417 - 3.058412062653705579e-617j)  +/-  (1.11e-73, 4.61e-194j)
| (2.2483003946315429269e-11 + 8.8248019207394098762e-622j)  +/-  (4.63e-80, 1.94e-200j)
| (0.0058641027043079592745 - 7.2830476188410001244e-618j)  +/-  (2.11e-75, 8.71e-196j)
