Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 44
-------------------------------------------------
Trying to find an order 44 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^46 - 326309379622347150068149127/328554527712538859293821*t^44 + 147843161308428442702882534487/328554527712538859293821*t^42 - 1931673809424984673454917269341/15645453700597088537801*t^40 + 359350760788782222844235780635135/15645453700597088537801*t^38 - 48088733100800756271685634741077765/15645453700597088537801*t^36 + 4793538669643366861204530466109832645/15645453700597088537801*t^34 - 363669080576741295726834409793149497195/15645453700597088537801*t^32 + 21276557133296551217782327004031652072410/15645453700597088537801*t^30 - 966938844757031868190877829042921707071950/15645453700597088537801*t^28 + 34228306781098810160342052439279052718346350/15645453700597088537801*t^26 - 942686881806735463954309086885371917776929250/15645453700597088537801*t^24 + 20103906273226776255665777816398842847771566750/15645453700597088537801*t^22 - 329193022707045008471411167119560338193972210250/15645453700597088537801*t^20 + 4087104867257577648283517457191664055436970626250/15645453700597088537801*t^18 - 37807219434465067852298410278302237058062904813750/15645453700597088537801*t^16 + 254444769171771327690787068699371255630015319298125/15645453700597088537801*t^14 - 1206207101484704284148798911079075984266756210404375/15645453700597088537801*t^12 + 3851416510085025553983783077951054730002382119094375/15645453700597088537801*t^10 - 7768595482246110156525718773028809910326295579040625/15645453700597088537801*t^8 + 8981581027375602654009994990221907328379413226421875/15645453700597088537801*t^6 - 5062234556861893634917131213002486273072866172990625/15645453700597088537801*t^4 + 1011560207500850556576228390815270305758041309990625/15645453700597088537801*t^2 - 27935260452304471699310794304065169594696878659375/15645453700597088537801
-------------------------------------------------
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
Positive weights:   46 out of 46
Indefinite weights: 0 out of 46
Negative weights:   0 out of 46
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (7.3808357406538144933 + 6.5938734007455813971e-597j)  +/-  (4.56e-244, 4.56e-244j)
| (8.5328971561186882028 - 1.4865441561707776407e-620j)  +/-  (3.71e-244, 3.71e-244j)
| (-11.297111396475086005 + 5.2570755382464714468e-638j)  +/-  (5.78e-246, 5.78e-246j)
| (-3.7948063682586753896 + 8.4963669380942075883e-639j)  +/-  (8.51e-247, 8.51e-247j)
| (10.507936550496142405 + 5.1927122976083955184e-635j)  +/-  (3.34e-245, 3.34e-245j)
| (9.1484758478722888934 + 8.6948978541958849986e-651j)  +/-  (2.35e-244, 2.35e-244j)
| (6.833965239779995522 - 1.3083596997364984029e-670j)  +/-  (3.43e-244, 3.43e-244j)
| (12.247602481178941779 - 3.0950631820147182176e-684j)  +/-  (4.77e-247, 4.77e-247j)
| (-9.1484758478722888934 + 9.8695471075279746959e-690j)  +/-  (2.52e-244, 2.52e-244j)
| (3.3149302201174112357 + 2.1621958451922102451e-690j)  +/-  (1.78e-247, 1.78e-247j)
| (-12.247602481178941779 - 1.1564954681828770116e-694j)  +/-  (4.53e-247, 4.53e-247j)
| (-5.7823111760117667209 - 1.6303098841684778199e-691j)  +/-  (8.88e-245, 8.88e-245j)
| (-10.507936550496142405 - 2.449715419102810343e-693j)  +/-  (3.19e-245, 3.19e-245j)
| (-2.3707697574804439793 - 1.9602912588876610275e-705j)  +/-  (3.4e-249, 3.4e-249j)
| (6.301933258115309851 + 7.5847107424928643231e-705j)  +/-  (2.25e-244, 2.25e-244j)
| (1.9063572369538032637 + 3.3422150326406074402e-725j)  +/-  (4.2e-250, 4.2e-250j)
| (3.7948063682586753896 + 3.3930909324778808361e-726j)  +/-  (9.26e-247, 9.26e-247j)
| (9.8016901900892114623 + 4.2328031278234833556e-740j)  +/-  (1.1e-244, 1.1e-244j)
| (-9.8016901900892114623 + 4.548700555606921285e-752j)  +/-  (1.02e-244, 1.02e-244j)
| (-6.301933258115309851 - 8.5464331250734256159e-751j)  +/-  (2.05e-244, 2.05e-244j)
| (-3.3149302201174112357 + 2.9368457794021896471e-760j)  +/-  (1.61e-247, 1.61e-247j)
| (1 + 6.0811671893792165257e-764j)  +/-  (3.38e-252, 3.38e-252j)
| (7.9457155417965258462 - 5.096866960621170209e-755j)  +/-  (4.31e-244, 4.31e-244j)
| (-4.2805678242152046044 - 9.5538609103827523878e-766j)  +/-  (4.12e-246, 4.12e-246j)
| (-2.840351733748799132 - 8.8288081885600801455e-768j)  +/-  (2.56e-248, 2.56e-248j)
| (-5.2731864899429464364 - 1.2677389308534252008e-764j)  +/-  (3.69e-245, 3.69e-245j)
| (4.7730221644209229045 - 9.5390094488471880835e-764j)  +/-  (1.32e-245, 1.32e-245j)
| (2.840351733748799132 - 1.1851310575869351687e-773j)  +/-  (2.61e-248, 2.61e-248j)
| (-4.7730221644209229045 - 8.4143618851177454443e-771j)  +/-  (1.42e-245, 1.42e-245j)
| (-1.9063572369538032637 - 8.8596024107880298197e-776j)  +/-  (4.28e-250, 4.28e-250j)
| (-8.5328971561186882028 - 1.723768659758409291e-769j)  +/-  (4.05e-244, 4.05e-244j)
| (2.3707697574804439793 + 3.4580637626567290476e-774j)  +/-  (3.43e-249, 3.43e-249j)
| (5.2731864899429464364 + 5.6628175322346604138e-769j)  +/-  (3.8e-245, 3.8e-245j)
| (-1 + 1.4658035427603767872e-785j)  +/-  (3.38e-252, 3.38e-252j)
| (-7.9457155417965258462 + 1.7184297847848666065e-777j)  +/-  (4.66e-244, 4.66e-244j)
| (-1.448260825386272663 - 8.5625664819039574423e-786j)  +/-  (4.08e-251, 4.08e-251j)
| (4.2805678242152046044 + 4.2931159432341667459e-778j)  +/-  (4.04e-246, 4.04e-246j)
| (11.297111396475086005 - 4.2563028302901412319e-783j)  +/-  (5.86e-246, 5.86e-246j)
| (-6.833965239779995522 + 7.3459935325707765507e-786j)  +/-  (3.48e-244, 3.48e-244j)
| (1.448260825386272663 + 2.3768152624504993151e-798j)  +/-  (3.63e-251, 3.63e-251j)
| (-0.57124720321936679459 - 1.5012834244084264343e-807j)  +/-  (2.9e-253, 2.9e-253j)
| (-7.3808357406538144933 + 3.577318150891556398e-789j)  +/-  (4.44e-244, 4.44e-244j)
| (0.18069448758293854809 - 2.2014908494759588431e-805j)  +/-  (2.12e-254, 2.12e-254j)
| (0.57124720321936679459 - 9.6575999112677952771e-806j)  +/-  (3.12e-253, 3.12e-253j)
| (5.7823111760117667209 - 2.6197998674324173291e-809j)  +/-  (9.13e-245, 9.13e-245j)
| (-0.18069448758293854809 - 8.966657381178814718e-834j)  +/-  (2.12e-254, 2.12e-254j)
-------------------------------------------------
The weights are:
| (3.2805059995471478005e-13 - 8.2742180203858823827e-609j)  +/-  (7.7e-76, 5.5e-197j)
| (3.7035368359093888161e-17 + 1.7269020860420632458e-611j)  +/-  (7.47e-79, 5.34e-200j)
| (6.5500930983947089003e-29 + 1.0709305956827270266e-618j)  +/-  (2.62e-86, 1.87e-207j)
| (0.00014373013875087056475 - 7.8176719773795700224e-606j)  +/-  (8.5e-66, 6.07e-187j)
| (3.1179337271444248619e-25 - 4.7437833984987043165e-616j)  +/-  (8.7e-84, 6.22e-205j)
| (1.6900890380169289759e-19 - 7.0935813409717769213e-613j)  +/-  (1.03e-80, 7.33e-202j)
| (1.5525617346298829982e-11 + 2.9374858964091533063e-608j)  +/-  (3.4e-76, 2.43e-197j)
| (1.1695338935605936521e-33 - 1.6022445813393726147e-620j)  +/-  (1.45e-87, 1.04e-208j)
| (1.6900890380169289759e-19 - 7.5858566855393147176e-614j)  +/-  (4.68e-85, 3.35e-206j)
| (0.00078232158000807534266 - 5.7198739414544303272e-605j)  +/-  (6.1e-68, 4.36e-189j)
| (1.1695338935605936521e-33 - 3.9726801238702781518e-621j)  +/-  (1.81e-90, 1.3e-211j)
| (1.1261707964813590369e-08 - 3.879469245391301962e-608j)  +/-  (7.59e-79, 5.43e-200j)
| (3.1179337271444248619e-25 - 8.2925136872030056379e-617j)  +/-  (1.81e-87, 1.3e-208j)
| (0.011215446010593466121 + 1.2461132069227951165e-604j)  +/-  (1.82e-66, 1.3e-187j)
| (4.9841896914186670841e-10 - 9.1431055480477664282e-608j)  +/-  (2.49e-78, 1.78e-199j)
| (0.029922171732288241808 + 4.44475639719469042e-604j)  +/-  (1.87e-64, 1.34e-185j)
| (0.00014373013875087056475 + 2.4363298531967908512e-605j)  +/-  (1.17e-72, 8.34e-194j)
| (3.7076071195605595679e-22 + 2.2648300504092351258e-614j)  +/-  (7.68e-85, 5.49e-206j)
| (3.7076071195605595679e-22 + 3.1909300919129163659e-615j)  +/-  (4.9e-87, 3.51e-208j)
| (4.9841896914186670841e-10 + 7.2094466220892156194e-609j)  +/-  (1.21e-81, 8.63e-203j)
| (0.00078232158000807534266 + 2.1743619971332058013e-605j)  +/-  (4.09e-74, 2.93e-195j)
| (0.10669558084671118552 + 1.2477809286941120553e-603j)  +/-  (4.94e-69, 3.53e-190j)
| (4.4798696800336294297e-15 - 4.1584517403490374709e-610j)  +/-  (1.56e-82, 1.12e-203j)
| (2.048021068869610163e-05 + 2.5129233445361361468e-606j)  +/-  (2.75e-77, 1.97e-198j)
| (0.0033346542634805130808 - 5.4549994561149377971e-605j)  +/-  (2.09e-73, 1.5e-194j)
| (1.8432906008939506749e-07 + 1.7886121962811463439e-607j)  +/-  (4.34e-80, 3.1e-201j)
| (2.2361767976549615595e-06 + 3.3355511640845487211e-606j)  +/-  (2.66e-80, 1.9e-201j)
| (0.0033346542634805130808 + 1.2279874134326286028e-604j)  +/-  (1.31e-75, 9.35e-197j)
| (2.2361767976549615595e-06 - 7.1569831388987447172e-607j)  +/-  (3.79e-79, 2.71e-200j)
| (0.029922171732288241808 - 2.6200299066999202838e-604j)  +/-  (1.68e-73, 1.2e-194j)
| (3.7035368359093888161e-17 + 1.250176356810887905e-612j)  +/-  (9.51e-88, 6.8e-209j)
| (0.011215446010593466121 - 2.4254379963732989309e-604j)  +/-  (1.53e-76, 1.1e-197j)
| (1.8432906008939506749e-07 - 1.073856975301958655e-606j)  +/-  (1.8e-82, 1.29e-203j)
| (0.10669558084671118552 - 9.5001088109817411872e-604j)  +/-  (1.61e-75, 1.15e-196j)
| (4.4798696800336294297e-15 - 1.5326509851173607122e-611j)  +/-  (3.03e-87, 2.16e-208j)
| (0.063474098527958547491 + 5.1355495006375530039e-604j)  +/-  (5.6e-76, 4.02e-197j)
| (2.048021068869610163e-05 - 9.4521551162839784909e-606j)  +/-  (3.32e-81, 2.38e-202j)
| (6.5500930983947089003e-29 + 5.1076039614226822566e-618j)  +/-  (4.52e-94, 3.23e-215j)
| (1.5525617346298829982e-11 - 1.1301068412355834552e-609j)  +/-  (8.32e-86, 5.94e-207j)
| (0.063474098527958547491 - 7.6429312917935735475e-604j)  +/-  (2.8e-79, 1.98e-200j)
| (0.13996183568318843408 + 1.6418110757254205809e-603j)  +/-  (6.11e-79, 4.19e-200j)
| (3.2805059995471478005e-13 + 1.4653653062792642519e-610j)  +/-  (9.72e-87, 6.94e-208j)
| (0.14444724872448910655 + 2.5013144584644263444e-603j)  +/-  (1.56e-79, 1.08e-200j)
| (0.13996183568318843408 - 1.9172697117551617566e-603j)  +/-  (1.04e-79, 7.32e-201j)
| (1.1261707964813590369e-08 + 3.1945723428533303989e-607j)  +/-  (3.19e-85, 2.86e-206j)
| (0.14444724872448910655 - 2.3817688848269010919e-603j)  +/-  (1.32e-79, 8.71e-201j)
