Starting with polynomial:
P : t
Extension levels are: 1 2 44
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^47 - 3514153654452277745561/3361510671905005977*t^45 + 560094854974915264947525/1120503557301668659*t^43 - 23235237349503802180731855/160071936757381237*t^41 + 4589211166692680833587627675/160071936757381237*t^39 - 654332443892435585022558356115/160071936757381237*t^37 + 69768361009792761626324762278245/160071936757381237*t^35 - 5686994763539639731787371497356625/160071936757381237*t^33 + 359282803522295051872251121270120050/160071936757381237*t^31 - 17733237553633650541404345725259647250/160071936757381237*t^29 + 686283328499784836818007437506794865150/160071936757381237*t^27 - 20823783775003386821900404721580442384950/160071936757381237*t^25 + 493722260787840982633382484795192579093750/160071936757381237*t^23 - 9085617813980855043382421341720857456663750/160071936757381237*t^21 + 128439612904821302909650599497952197726006250/160071936757381237*t^19 - 1374782528039199493921639619119043483063441250/160071936757381237*t^17 + 10925504486189207144722730433672171252428495625/160071936757381237*t^15 - 62786031519102820709806472412200567904462515625/160071936757381237*t^13 + 251727692309709392180155564004512495180539909375/160071936757381237*t^11 - 669791682913080396700696637662556444875218796875/160071936757381237*t^9 + 1099616293294393121499592062088006516136395509375/160071936757381237*t^7 - 993607557345241528937930176383411431497397184375/160071936757381237*t^5 + 403454009725495425625576495763098339481090390625/160071936757381237*t^3 - 46339333129265119198494450887799679578225328125/160071936757381237*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:
| (-8.7218969450709557645 + 4.2700521147931873898e-636j)  +/-  (6.42e-244, 6.42e-244j)
| (10.684102191097487226 - 2.5478359582376186301e-650j)  +/-  (4.87e-245, 4.87e-245j)
| (-11.468806424391885909 + 8.9583142813291914892e-649j)  +/-  (8.28e-246, 8.28e-246j)
| (-8.1390983057749995558 - 1.3259914300881822963e-663j)  +/-  (8.53e-244, 8.53e-244j)
| (-10.684102191097487226 - 1.5285448830046394463e-684j)  +/-  (4.97e-245, 4.97e-245j)
| (12.414310721828338597 + 5.0248164196170391427e-695j)  +/-  (6.71e-247, 6.71e-247j)
| (-7.036585510617378898 - 3.7185570657211568236e-702j)  +/-  (6.29e-244, 6.29e-244j)
| (9.9821490401233750049 - 3.2583513011930079609e-717j)  +/-  (1.7e-244, 1.7e-244j)
| (-9.9821490401233750049 + 8.6364629776028612637e-721j)  +/-  (1.73e-244, 1.73e-244j)
| (8.7218969450709557645 + 6.4168572943908656595e-730j)  +/-  (6.38e-244, 6.38e-244j)
| (11.468806424391885909 + 9.2885347138265350684e-735j)  +/-  (8.48e-246, 8.48e-246j)
| (-2.6346428857165273649 + 8.4510549181295564297e-738j)  +/-  (1.79e-248, 1.79e-248j)
| (3.094768726815044108 + 4.5789167986976104983e-737j)  +/-  (1.09e-247, 1.09e-247j)
| (-12.414310721828338597 - 1.6322041058324844704e-732j)  +/-  (6.79e-247, 6.79e-247j)
| (4.5114605166945878989 + 9.1753299265823211517e-739j)  +/-  (1.04e-245, 1.04e-245j)
| (4.0328011454960861032 + 2.0113477607465067005e-739j)  +/-  (3e-246, 3e-246j)
| (7.036585510617378898 + 5.5551663596498967108e-737j)  +/-  (7.12e-244, 7.12e-244j)
| (-9.3331865575954195811 + 4.4620356828857969448e-737j)  +/-  (4.21e-244, 4.21e-244j)
| (-4.0328011454960861032 - 3.0650326071767189978e-753j)  +/-  (3e-246, 3e-246j)
| (-7.5787433946030303389 - 1.0241516078793143479e-773j)  +/-  (7.56e-244, 7.56e-244j)
| (4.9974114480725596441 + 3.0082456835455318647e-789j)  +/-  (3.54e-245, 3.54e-245j)
| (1.2901724556391290182 - 5.6740029818244853436e-800j)  +/-  (2.3e-251, 2.3e-251j)
| (7.5787433946030303389 + 2.9581655294572625071e-791j)  +/-  (7.68e-244, 7.68e-244j)
| (-2.1803311538227609104 + 6.056886234656046473e-807j)  +/-  (2.62e-249, 2.62e-249j)
| (-3.5607330794866288869 + 5.2938038651807994265e-810j)  +/-  (6.44e-247, 6.44e-247j)
| (-5.9951150765556576475 + 4.7720605322102411049e-837j)  +/-  (2.07e-244, 2.07e-244j)
| (5.4915739304927673935 + 6.2412760228598729586e-857j)  +/-  (9.78e-245, 9.78e-245j)
| (5.9951150765556576475 - 2.1613165094121636499e-856j)  +/-  (2.06e-244, 2.06e-244j)
| (-6.5095014640563709049 + 3.8041740132751304466e-857j)  +/-  (4.23e-244, 4.23e-244j)
| (-0.85489961548074928119 + 3.5567856889954064627e-875j)  +/-  (1.84e-252, 1.84e-252j)
| (-0.42559007795072978203 - 5.3553055205276816014e-876j)  +/-  (1.27e-253, 1.27e-253j)
| (2.6346428857165273649 + 4.7118321612587121672e-871j)  +/-  (1.64e-248, 1.64e-248j)
| (1.7320508075688772935 - 9.1404784300391856856e-874j)  +/-  (2.71e-250, 2.71e-250j)
| (-5.4915739304927673935 - 7.8193084947693185806e-866j)  +/-  (9.44e-245, 9.44e-245j)
| (9.3331865575954195811 - 3.0652867763169628758e-872j)  +/-  (4.03e-244, 4.03e-244j)
| (-3.094768726815044108 + 1.1714225657913497444e-874j)  +/-  (1.1e-247, 1.1e-247j)
| (6.5095014640563709049 + 4.1084931302968532403e-871j)  +/-  (4.21e-244, 4.21e-244j)
| (0.85489961548074928119 + 7.6645419256496670697e-880j)  +/-  (1.84e-252, 1.84e-252j)
| (2.1803311538227609104 - 9.5498599537694834808e-877j)  +/-  (2.51e-249, 2.51e-249j)
| (-4.5114605166945878989 + 3.8154513565393132184e-870j)  +/-  (1.16e-245, 1.16e-245j)
| (-1.7320508075688772935 + 1.6180078063150021052e-879j)  +/-  (2.62e-250, 2.62e-250j)
| (-4.9974114480725596441 + 1.4742370367142057721e-872j)  +/-  (3.44e-245, 3.44e-245j)
| (5.1178892444896825991e-899 - 1.0302827782819606004e-898j)  +/-  (5.41e-897, 5.41e-897j)
| (3.5607330794866288869 + 1.7296867588363420814e-882j)  +/-  (6.51e-247, 6.51e-247j)
| (8.1390983057749995558 + 1.7132759541730269588e-878j)  +/-  (7.7e-244, 7.7e-244j)
| (-1.2901724556391290182 + 6.1473571277959044652e-890j)  +/-  (2.19e-251, 2.19e-251j)
| (0.42559007795072978203 + 2.0910913486628655903e-892j)  +/-  (1.27e-253, 1.27e-253j)
-------------------------------------------------
The weights are:
| (7.1998510795274788695e-18 + 1.3744863888262397045e-652j)  +/-  (1.82e-81, 2.71e-202j)
| (4.7932546080586163274e-26 - 1.0627042270697601933e-658j)  +/-  (1.48e-86, 2.2e-207j)
| (9.2274878677981832982e-30 - 9.7222538729588960738e-660j)  +/-  (2.17e-87, 3.22e-208j)
| (9.3854077339941546112e-16 - 6.4341077962515638858e-652j)  +/-  (8.16e-81, 1.21e-201j)
| (4.7932546080586163274e-26 + 1.0510030667933233113e-657j)  +/-  (5.12e-86, 7.6e-207j)
| (1.4895391117189483721e-34 - 4.698428936787578655e-663j)  +/-  (1.73e-91, 2.57e-212j)
| (3.7745357599802455985e-12 - 1.6190329139325709007e-650j)  +/-  (1.22e-79, 1.82e-200j)
| (6.1815837323676348784e-23 + 4.2292704709340173179e-657j)  +/-  (1.76e-87, 2.61e-208j)
| (6.1815837323676348784e-23 - 6.2768766410091985093e-656j)  +/-  (1.68e-85, 2.49e-206j)
| (7.1998510795274788695e-18 + 1.7624456882459881459e-654j)  +/-  (4.98e-86, 7.4e-207j)
| (9.2274878677981832982e-30 + 1.3226954423186058206e-660j)  +/-  (5.78e-90, 8.58e-211j)
| (0.0056722656728298486271 + 3.9402951664296833755e-646j)  +/-  (1.66e-68, 2.46e-189j)
| (0.0015373124544197870774 - 9.4270980596249289491e-647j)  +/-  (9.5e-72, 1.41e-192j)
| (1.4895391117189483721e-34 + 2.6894864909566248582e-662j)  +/-  (1.25e-91, 1.85e-212j)
| (7.3190234591552841512e-06 + 4.2884626158283880252e-648j)  +/-  (1.18e-77, 1.75e-198j)
| (5.5753825710999322004e-05 - 1.3500953254068480454e-647j)  +/-  (4.57e-76, 6.78e-197j)
| (3.7745357599802455985e-12 - 1.731495840592393294e-651j)  +/-  (2.19e-84, 3.25e-205j)
| (3.0456916416867581478e-20 + 3.0650042135363376331e-654j)  +/-  (2.15e-86, 3.2e-207j)
| (5.5753825710999322004e-05 - 3.6723622218619304862e-647j)  +/-  (1.6e-78, 2.38e-199j)
| (7.4033771751600412492e-14 + 3.1173016107580846666e-651j)  +/-  (4.93e-84, 7.32e-205j)
| (7.3780546909474101915e-07 - 1.2014063773357421089e-648j)  +/-  (8.02e-81, 1.19e-201j)
| (0.076119381586906109777 - 1.2580887662050443915e-645j)  +/-  (1.36e-67, 2.01e-188j)
| (7.4033771751600412492e-14 + 2.1861438139605984809e-652j)  +/-  (2.47e-86, 3.66e-207j)
| (0.016716292355742534739 - 7.0945750123888145645e-646j)  +/-  (1.09e-73, 1.62e-194j)
| (0.00033026953191792548014 + 8.9834548623877239208e-647j)  +/-  (2.8e-78, 4.16e-199j)
| (3.1826364133730327201e-09 - 3.3705079531624160699e-649j)  +/-  (9.71e-84, 1.44e-204j)
| (5.6247039057970043797e-08 + 2.943697056158406957e-649j)  +/-  (3.89e-83, 5.77e-204j)
| (3.1826364133730327201e-09 - 6.2449089263936610709e-650j)  +/-  (1.97e-84, 2.92e-205j)
| (1.3059466365691391564e-10 + 7.8004632337009579181e-650j)  +/-  (6.36e-85, 9.43e-206j)
| (0.11960825349211707601 + 2.2255188245877365862e-645j)  +/-  (1.25e-73, 1.86e-194j)
| (0.15557099489080675878 - 2.5880245896037441345e-645j)  +/-  (7.86e-74, 1.17e-194j)
| (0.0056722656728298486271 + 2.1120498060403068716e-646j)  +/-  (7.1e-79, 1.05e-199j)
| (0.039624916678602944819 + 7.7232319910804216615e-646j)  +/-  (1.56e-76, 2.32e-197j)
| (5.6247039057970043797e-08 + 1.2952312256504671209e-648j)  +/-  (2.74e-84, 4.07e-205j)
| (3.0456916416867581478e-20 - 1.03771618547307338e-655j)  +/-  (3.07e-91, 4.56e-212j)
| (0.0015373124544197870774 - 1.9796397328440417628e-646j)  +/-  (5e-81, 7.42e-202j)
| (1.3059466365691391564e-10 + 1.1330351386330248569e-650j)  +/-  (4.22e-86, 6.26e-207j)
| (0.11960825349211707601 + 1.8281844601464354689e-645j)  +/-  (1.5e-78, 2.22e-199j)
| (0.016716292355742534739 - 4.2568939838266856999e-646j)  +/-  (7.84e-80, 1.16e-200j)
| (7.3190234591552841512e-06 + 1.3478592949225327088e-647j)  +/-  (7.84e-84, 1.16e-204j)
| (0.039624916678602944819 + 1.155079269672225017e-645j)  +/-  (4.1e-81, 6.09e-202j)
| (7.3780546909474101915e-07 - 4.4254339584465536995e-648j)  +/-  (1.81e-84, 2.69e-205j)
| (0.16951288623579623009 + 2.6385046907942956463e-645j)  +/-  (2.46e-80, 3.62e-201j)
| (0.00033026953191792548014 + 3.7748497293464144601e-647j)  +/-  (2.3e-83, 3.39e-204j)
| (9.3854077339941546112e-16 - 2.2239430193486231054e-653j)  +/-  (8.15e-90, 1.21e-210j)
| (0.076119381586906109777 - 1.6949056786766901316e-645j)  +/-  (1.16e-81, 1.79e-202j)
| (0.15557099489080675878 - 2.3472070658279026892e-645j)  +/-  (2.1e-81, 2.84e-202j)
