Starting with polynomial:
P : 263012370465/524288*t^22 - 1412926920405/524288*t^20 + 3273855059475/524288*t^18 - 4281195077775/524288*t^16 + 1735619626125/262144*t^14 - 902522205585/262144*t^12 + 300840735195/262144*t^10 - 62386327575/262144*t^8 + 15058768725/524288*t^6 - 929553625/524288*t^4 + 22309287/524288*t^2 - 88179/524288
Extension levels are: 22 23
-------------------------------------------------
Trying to find an order 23 Kronrod extension for:
P1 : 263012370465/524288*t^22 - 1412926920405/524288*t^20 + 3273855059475/524288*t^18 - 4281195077775/524288*t^16 + 1735619626125/262144*t^14 - 902522205585/262144*t^12 + 300840735195/262144*t^10 - 62386327575/262144*t^8 + 15058768725/524288*t^6 - 929553625/524288*t^4 + 22309287/524288*t^2 - 88179/524288
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 263012370465/524288*t^45 - 138998979507375/24641536*t^43 + 1679770618028676225/56749457408*t^41 - 4365110740150210577175/45342816468992*t^39 + 1203080522311943812262954475/5534498835388694528*t^37 - 1035105923615686180703614119015/2861335897895955070976*t^35 + 18461282591265728300651914190486775/40159605151546532126261248*t^33 - 2691505827100655224647056414603431064775/5902217009517642280064489357312*t^31 + 7866502598762643999448641208597021524812289075/21972770531923773921402940947156434944*t^29 - 3936089954196539890162810313907925572906106676525/17556243655007095363200949816777991520256*t^27 + 49974248656540169903280925657867240969316634279108177/444752320512294746835969661708436859182645248*t^25 - 63084721079496823527459680137362496828225382688301316325/1400525057293216157786468464719867669566149885952*t^23 + 523171921991586924330370408109934071224406636556832665/36377274215408211890557622460256303105614282752*t^21 - 6946602636362583544741530666887091732806589855638775/1914593379758326941608295918960858058190225408*t^19 + 80461034042197387971327258185939008832122087139925/112623139985783937741664465821226944599425024*t^17 - 12152558522853631455442037115957411391917413195265/112623139985783937741664465821226944599425024*t^15 + 1374341860583611200628541515509784002963444262725/112623139985783937741664465821226944599425024*t^13 - 787836694344923624836849332308591958151159098555/788361979900487564191651260748588612195975168*t^11 + 44557245184108161515192221900771341901545309975/788361979900487564191651260748588612195975168*t^9 - 231820271972248145657974716531862582811805825/112623139985783937741664465821226944599425024*t^7 + 2432909064085431252992646371737574877896265/56311569992891968870832232910613472299712512*t^5 - 265364281084252788042084008430206563641825/619427269921811657579154562016748195296837632*t^3 + 393131853538300457180815028450797783701/309713634960905828789577281008374097648418816*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:
| (0.40663310543421160074 - 1.002104572305913811e-919j)  +/-  (4.27e-248, 4.27e-248j)
| (0.99429458548239929207 - 3.3908579738728634303e-909j)  +/-  (1.16e-239, 1.16e-239j)
| (-0.89859385217961203497 - 3.628838120159809061e-911j)  +/-  (2.08e-240, 2.08e-240j)
| (0.98464072159734849377 + 4.397408049281783004e-918j)  +/-  (1.41e-239, 1.41e-239j)
| (0.95079038034318498238 - 2.7130468635374362713e-919j)  +/-  (8.31e-240, 8.31e-240j)
| (0.92695677218717400052 + 2.0629295184622858185e-919j)  +/-  (4.68e-240, 4.68e-240j)
| (-0.99429458548239929207 + 1.1277286449609754626e-918j)  +/-  (1.23e-239, 1.23e-239j)
| (-0.92695677218717400052 + 1.2823288588055124048e-934j)  +/-  (5.12e-240, 5.12e-240j)
| (0.99905277239218033953 + 5.1974182564946253169e-947j)  +/-  (4.61e-240, 4.61e-240j)
| (-0.99905277239218033953 + 4.4068719159529403347e-945j)  +/-  (4.97e-240, 4.97e-240j)
| (0.86581257772030013654 + 2.3183763162137374414e-961j)  +/-  (7.87e-241, 7.87e-241j)
| (-0.20786042668822128548 + 1.990526775176900956e-973j)  +/-  (8.68e-252, 8.68e-252j)
| (-0.86581257772030013654 + 8.9198130440789636178e-961j)  +/-  (7.95e-241, 7.95e-241j)
| (-0.8288202044714307079 + 4.1640870749001666276e-966j)  +/-  (2.79e-241, 2.79e-241j)
| (-0.98464072159734849377 + 1.1620295791365136432e-972j)  +/-  (1.43e-239, 1.43e-239j)
| (0.89859385217961203497 - 3.6776717820509481447e-997j)  +/-  (2.19e-240, 2.19e-240j)
| (0.8288202044714307079 + 2.8124553966401369615e-999j)  +/-  (2.53e-241, 2.53e-241j)
| (-0.97006049783542872712 + 1.3731650710162935571e-996j)  +/-  (1.2e-239, 1.2e-239j)
| (-0.787816805979208162 - 3.4156681305547047018e-1015j)  +/-  (6.61e-242, 6.61e-242j)
| (-0.95079038034318498238 - 4.8005169532835292348e-1015j)  +/-  (8.73e-240, 8.73e-240j)
| (0.787816805979208162 + 3.9425291162934749291e-1030j)  +/-  (6.51e-242, 6.51e-242j)
| (0.74297119387900776259 + 1.2289869906400638745e-1030j)  +/-  (1.41e-242, 1.41e-242j)
| (0.20786042668822128548 - 3.6308135569015020965e-1041j)  +/-  (9.99e-252, 9.99e-252j)
| (-0.69448726318668278005 + 1.2566616174292445333e-1030j)  +/-  (2.82e-243, 2.82e-243j)
| (-0.74297119387900776259 + 6.1421266986742492588e-1032j)  +/-  (1.44e-242, 1.44e-242j)
| (1.4486933528385935386e-1043 + 1.023214641538712926e-1043j)  +/-  (7.98e-1042, 7.98e-1042j)
| (0.69448726318668278005 + 7.8988939996608532382e-1032j)  +/-  (2.6e-243, 2.6e-243j)
| (0.97006049783542872712 - 3.1091593438026295926e-1034j)  +/-  (1.25e-239, 1.25e-239j)
| (-0.40663310543421160074 - 1.666281888769973415e-1043j)  +/-  (4.39e-248, 4.39e-248j)
| (-0.64262257259291242044 - 9.1567364233989233674e-1040j)  +/-  (4.34e-244, 4.34e-244j)
| (-0.34193582089208422516 + 1.1010478204205107305e-1045j)  +/-  (2.89e-249, 2.89e-249j)
| (0.27557145134561522203 + 2.2956700181161944791e-1046j)  +/-  (1.82e-250, 1.82e-250j)
| (0.64262257259291242044 + 1.9142134363584285949e-1040j)  +/-  (4.11e-244, 4.11e-244j)
| (0.069739273319722221214 - 1.9687600266634835987e-1052j)  +/-  (2.59e-254, 2.59e-254j)
| (-0.58764040350691159296 + 5.7617740107290803892e-1042j)  +/-  (5.24e-245, 5.24e-245j)
| (-0.46935583798675702641 + 1.2311205029327634886e-1044j)  +/-  (4.92e-247, 4.92e-247j)
| (0.13913779072296185127 + 9.8866787163888097187e-1051j)  +/-  (4.51e-253, 4.51e-253j)
| (0.58764040350691159296 - 9.024410478516524456e-1043j)  +/-  (5.34e-245, 5.34e-245j)
| (0.34193582089208422516 + 1.7505900792763884173e-1049j)  +/-  (2.62e-249, 2.62e-249j)
| (-0.27557145134561522203 - 4.2541142764650789455e-1049j)  +/-  (1.73e-250, 1.73e-250j)
| (-0.52979339863051498064 - 5.3773164220423886758e-1047j)  +/-  (5.5e-246, 5.5e-246j)
| (-0.13913779072296185127 - 1.4610841904389244159e-1053j)  +/-  (4.54e-253, 4.54e-253j)
| (0.46935583798675702641 - 5.178768335175198964e-1045j)  +/-  (5.06e-247, 5.06e-247j)
| (0.52979339863051498064 + 1.1381006536439365356e-1046j)  +/-  (5.74e-246, 5.74e-246j)
| (-0.069739273319722221214 + 3.7438846661857013066e-1056j)  +/-  (2.59e-254, 2.59e-254j)
-------------------------------------------------
The weights are:
| (0.063761130290164345496 - 3.5279757544237413445e-910j)  +/-  (1.61e-69, 2.96e-185j)
| (0.0071422457731288916551 + 1.0016466114145432847e-909j)  +/-  (7.46e-70, 1.38e-185j)
| (0.03060160122290962887 - 5.4809331416183555678e-911j)  +/-  (2.81e-71, 5.18e-187j)
| (0.012154714535616143773 - 4.0735932459843891707e-909j)  +/-  (5.66e-70, 1.04e-185j)
| (0.021559494448610635244 - 1.6037290992150439637e-909j)  +/-  (1.66e-70, 3.06e-186j)
| (0.026105871176303064539 + 1.2587027457025536356e-909j)  +/-  (8.87e-71, 1.63e-186j)
| (0.0071422457731288916551 + 9.340163487081076881e-912j)  +/-  (6.53e-73, 1.2e-188j)
| (0.026105871176303064539 + 1.0592909087276033965e-911j)  +/-  (8.75e-73, 1.61e-188j)
| (0.002551733292211186305 + 1.73496479480161499e-909j)  +/-  (1e-71, 1.84e-187j)
| (0.002551733292211186305 - 3.2197823865179979046e-912j)  +/-  (3.7e-73, 6.82e-189j)
| (0.034924000460782372579 + 8.7882832258642983124e-910j)  +/-  (2.03e-73, 3.73e-189j)
| (0.068273123509596391513 + 1.8731152148599449668e-910j)  +/-  (5.52e-75, 1.02e-190j)
| (0.034924000460782372579 + 9.9256515369634324561e-911j)  +/-  (1.44e-73, 2.65e-189j)
| (0.039027007480834995901 - 8.9553914993153119927e-911j)  +/-  (3.64e-74, 6.71e-190j)
| (0.012154714535616143773 - 1.4745133244387026069e-911j)  +/-  (1.05e-73, 1.94e-189j)
| (0.03060160122290962887 - 1.0351357426366489064e-909j)  +/-  (4.88e-74, 9e-190j)
| (0.039027007480834995901 - 7.638533194949968803e-910j)  +/-  (3.23e-75, 5.95e-191j)
| (0.016960472812359864181 + 1.9155271696491524842e-911j)  +/-  (2.07e-74, 3.82e-190j)
| (0.042953254865117581839 + 9.2123536932318376179e-911j)  +/-  (1.26e-76, 2.33e-192j)
| (0.021559494448610635244 - 2.0871182133233634281e-911j)  +/-  (1.16e-74, 2.13e-190j)
| (0.042953254865117581839 + 6.7450097208935503064e-910j)  +/-  (4.86e-77, 8.95e-193j)
| (0.046704324959387955592 - 6.0225226122676428083e-910j)  +/-  (7.02e-78, 1.29e-193j)
| (0.068273123509596391513 + 2.8308373843125772954e-910j)  +/-  (1.41e-80, 2.61e-196j)
| (0.050219456294236619222 + 1.0508392635423916804e-910j)  +/-  (3.33e-79, 6.13e-195j)
| (0.046704324959387955592 - 9.7866702417871854711e-911j)  +/-  (2.46e-78, 4.53e-194j)
| (0.069796447003417851821 - 2.2992396323165601109e-910j)  +/-  (2.97e-82, 5.46e-198j)
| (0.050219456294236619222 + 5.4280070146533535367e-910j)  +/-  (2.66e-80, 4.91e-196j)
| (0.016960472812359864181 + 2.2450587654503657365e-909j)  +/-  (3.54e-78, 6.52e-194j)
| (0.063761130290164345496 - 1.519511908995340934e-910j)  +/-  (1.77e-82, 3.26e-198j)
| (0.053465734841206530407 - 1.1325121422984909782e-910j)  +/-  (4.22e-81, 7.77e-197j)
| (0.065582610389749433136 + 1.6308345945108909754e-910j)  +/-  (1.08e-82, 1.99e-198j)
| (0.067092744332416655825 - 3.0408473525973620138e-910j)  +/-  (1.3e-83, 2.39e-199j)
| (0.053465734841206530407 - 4.9312489925177900728e-910j)  +/-  (6.66e-83, 1.23e-198j)
| (0.069625162365131852682 + 2.4625122475100661178e-910j)  +/-  (5.79e-84, 1.07e-199j)
| (0.056457297860880505337 + 1.2208924607090094878e-910j)  +/-  (3.98e-83, 7.33e-199j)
| (0.061632413138858176892 + 1.4141447685729546979e-910j)  +/-  (8.59e-84, 1.58e-199j)
| (0.069116199419665601781 - 2.6389976334732382425e-910j)  +/-  (3.45e-84, 6.36e-200j)
| (0.056457297860880505337 + 4.5068270264519523079e-910j)  +/-  (8.09e-85, 1.49e-200j)
| (0.065582610389749433136 + 3.2720526967558469446e-910j)  +/-  (8.14e-85, 1.5e-200j)
| (0.067092744332416655825 - 1.748411924395637474e-910j)  +/-  (4.39e-85, 8.1e-201j)
| (0.05919118302912264132 - 1.3147230318354103494e-910j)  +/-  (1.42e-84, 2.61e-200j)
| (0.069116199419665601781 - 2.005871826721280263e-910j)  +/-  (7.06e-86, 1.3e-201j)
| (0.061632413138858176892 + 3.8140572303374383851e-910j)  +/-  (3.08e-86, 5.65e-202j)
| (0.05919118302912264132 - 4.1377144271035978853e-910j)  +/-  (2.94e-86, 5.38e-202j)
| (0.069625162365131852682 + 2.1475257897772887273e-910j)  +/-  (2.78e-86, 5.18e-202j)
