Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^51 - 21524040377508007313810891971332625481/209589297859223002210312203097615048*t^49 + 13133956265194063511768917922123274642944/20827936474760285844649775182825495395*t^47 - 4694785516351715592630619226823457987244333/1936998092152706583552429092002771071735*t^45 + 45270343868735438376225524099922427511262937/6923141501461560068138811162941170404196*t^43 - 11943346752089731427677872185185379654550445/907451537010425399211125469074763131036*t^41 + 39258917811399138847010621873610989154529651993/1914495880207744985985671958380481515703201*t^39 - 11282479418092017024047354654798304867980132/445459509564834330584408757592368541045*t^37 + 216102995394123775881665652897339306131609067063/8577768316180449869733375036198648626362520*t^35 - 944496568420984594940327602466095139529670850959/46319948907374429296560225195472702582357608*t^33 + 7894250533362862239220624960501520720031451300/584175600843323741128393644706632104726413*t^31 - 759763446658215155741279909903965923185300551646/103286015103943787907249211827001631161466763*t^29 + 251089184208179408909747436517939301265546357953/76319715594047133921612718098769678198128150*t^27 - 248925517851576010380927248578475564238802421713/206345897717238547269545497081858759572716850*t^25 + 105755778492683509854556888349827469992086446498/293011174758478737122754605856239438593257927*t^23 - 76875253746417011835357228615552968098033897180/879033524275436211368263817568718315779773781*t^21 + 2666887395804492098101828336059577667529729462397/157053989670544603097796468738944339085986248872*t^19 - 8862356173238723991648021168111815039957254980833/3402836442861799733785590156010460680196368725560*t^17 + 8294919520928261856120783621974608735878549490372/26797336987536672903561522478582377856546403713785*t^15 - 6457103554848881306113181948517161200524406381/232357861583473638538344402443997874804453536111*t^13 + 1543248561919515435498172608170933465139793743545/847855963236435039823454236487191014555696764535492*t^11 - 210771925672053416647609866140643093946216858889/2543567889709305119470362709461573043667090293606476*t^9 + 862879492857693327087222199622759607611097863/353273318015181266593105931869662922731540318556455*t^7 - 14829038823245574210541589495611718236472195144/355746231241287535459257673392750563190661100786350185*t^5 + 576043164025592741500255715966813912353124917/1707581909958180170204436832285202703315173283774480888*t^3 - 22822382673439416583129201343282632832434433/27890504529316942780005801593991644154147830301649854504*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:
| (0.99982734713104895183 + 3.0110894570860547845e-908j)  +/-  (7.45e-237, 7.45e-237j)
| (-0.99982734713104895183 - 4.3284367165197749315e-909j)  +/-  (7.11e-237, 7.11e-237j)
| (-0.9514875475709765947 - 1.1544954895559410185e-931j)  +/-  (3.81e-237, 3.81e-237j)
| (-0.68732654716692576485 - 3.4422292097634770145e-949j)  +/-  (9.3e-242, 9.3e-242j)
| (0.93068464560165464063 - 1.6657698286882606318e-945j)  +/-  (1.73e-237, 1.73e-237j)
| (0.9514875475709765947 + 5.3161011969858982713e-946j)  +/-  (3.87e-237, 3.87e-237j)
| (-0.99731906545803767905 - 5.1118534447341345598e-942j)  +/-  (1.57e-236, 1.57e-236j)
| (-0.9061798459386639928 - 1.785295325785767733e-959j)  +/-  (6.33e-238, 6.33e-238j)
| (-0.73167232731688177623 + 1.5991458828841680861e-967j)  +/-  (5.79e-241, 5.79e-241j)
| (-0.96853548696056573493 + 2.5816020695902399784e-961j)  +/-  (8.06e-237, 8.06e-237j)
| (0.9061798459386639928 + 2.4649296030341238811e-977j)  +/-  (6.39e-238, 6.39e-238j)
| (0.96853548696056573493 - 1.866384366836152779e-975j)  +/-  (7.27e-237, 7.27e-237j)
| (0.31077465902727517765 - 8.059070099914636938e-990j)  +/-  (3.72e-249, 3.72e-249j)
| (-0.81137345381419151497 - 2.2870575221527328522e-980j)  +/-  (1.54e-239, 1.54e-239j)
| (0.99137109242207060123 + 2.5215862728298055171e-975j)  +/-  (1.47e-236, 1.47e-236j)
| (0.81137345381419151497 - 1.2454049706206441455e-982j)  +/-  (1.52e-239, 1.52e-239j)
| (-0.99137109242207060123 - 5.8555068021456024679e-978j)  +/-  (1.49e-236, 1.49e-236j)
| (0.99731906545803767905 + 5.1885136049226615126e-999j)  +/-  (1.51e-236, 1.51e-236j)
| (-0.77307632301695407733 + 2.8781276696101842664e-1004j)  +/-  (3.21e-240, 3.21e-240j)
| (-0.98181525533626155052 - 1.2430633664964616145e-1005j)  +/-  (1.19e-236, 1.19e-236j)
| (0.87805454694089978246 - 5.128605052720215811e-1015j)  +/-  (2.08e-238, 2.08e-238j)
| (0.77307632301695407733 + 2.2964954458304551874e-1017j)  +/-  (3.11e-240, 3.11e-240j)
| (-0.93068464560165464063 - 7.7613609033265083622e-1015j)  +/-  (1.65e-237, 1.65e-237j)
| (-0.84641196237287659935 + 2.3659536893657425101e-1021j)  +/-  (6.36e-239, 6.36e-239j)
| (-0.87805454694089978246 + 2.7504847363439121293e-1024j)  +/-  (2.03e-238, 2.03e-238j)
| (0.25013422746834279916 - 1.073162654891233249e-1038j)  +/-  (1.82e-250, 1.82e-250j)
| (0.73167232731688177623 - 2.4873863405135445912e-1028j)  +/-  (5.63e-241, 5.63e-241j)
| (0.84641196237287659935 + 2.8639877073655766311e-1026j)  +/-  (6.15e-239, 6.15e-239j)
| (-0.12608108506441646303 + 5.4060398610698769059e-1042j)  +/-  (4.58e-253, 4.58e-253j)
| (-0.64021641975606411383 + 2.0734380074850525106e-1031j)  +/-  (1.21e-242, 1.21e-242j)
| (-0.25013422746834279916 + 2.7571672231119105527e-1039j)  +/-  (1.89e-250, 1.89e-250j)
| (0.64021641975606411383 - 6.5429113347318421666e-1030j)  +/-  (1.29e-242, 1.29e-242j)
| (0.68732654716692576485 + 3.072661030327889178e-1029j)  +/-  (9.01e-242, 9.01e-242j)
| (0.063167674093070538809 - 8.6506624138311317352e-1043j)  +/-  (2.18e-254, 2.18e-254j)
| (-0.59053084425470082063 - 9.4278228040102267173e-1033j)  +/-  (1.39e-243, 1.39e-243j)
| (-0.4842410233323090136 - 1.2179421896567733194e-1034j)  +/-  (1.22e-245, 1.22e-245j)
| (-1.487621087481919895e-1051 - 2.9729507211052296914e-1051j)  +/-  (1.7e-1049, 1.7e-1049j)
| (0.53846931010568309104 - 1.2624730224685654048e-1032j)  +/-  (1.58e-244, 1.58e-244j)
| (0.98181525533626155052 - 1.1592880036425191561e-1037j)  +/-  (1.09e-236, 1.09e-236j)
| (-0.31077465902727517765 - 1.9379559666347469909e-1052j)  +/-  (3.61e-249, 3.61e-249j)
| (-0.53846931010568309104 + 3.1563957048784386248e-1047j)  +/-  (1.46e-244, 1.46e-244j)
| (-0.063167674093070538809 + 1.0679150251586004205e-1056j)  +/-  (2.18e-254, 2.18e-254j)
| (0.37016424914080897256 - 1.4084969068944016634e-1051j)  +/-  (6.82e-248, 6.82e-248j)
| (0.59053084425470082063 + 4.3855038689658163926e-1048j)  +/-  (1.48e-243, 1.48e-243j)
| (0.18848699748008903131 + 1.9237012787446395172e-1057j)  +/-  (1.07e-251, 1.07e-251j)
| (-0.42806401829535023964 + 4.9965605879478363711e-1053j)  +/-  (9.57e-247, 9.57e-247j)
| (-0.37016424914080897256 + 2.4467937388185867276e-1054j)  +/-  (6.23e-248, 6.23e-248j)
| (0.12608108506441646303 - 2.8291659764453683003e-1059j)  +/-  (4.56e-253, 4.56e-253j)
| (0.4842410233323090136 + 3.6464985581293110133e-1051j)  +/-  (1.32e-245, 1.32e-245j)
| (0.42806401829535023964 - 4.3094156224491901117e-1053j)  +/-  (9.68e-247, 9.68e-247j)
| (-0.18848699748008903131 - 5.1147803166355277754e-1059j)  +/-  (9.5e-252, 9.5e-252j)
-------------------------------------------------
The weights are:
| (0.00086842562640051006157 - 1.8755212286599585426e-908j)  +/-  (5.65e-62, 2.82e-174j)
| (0.00086842562640051006157 - 2.7088656140863013387e-909j)  +/-  (2.57e-62, 1.28e-174j)
| (0.018931433990759034903 + 2.7968006319742407068e-910j)  +/-  (1.11e-62, 5.55e-175j)
| (0.045758511012181668503 + 6.4781679720112127724e-911j)  +/-  (1.33e-63, 6.66e-176j)
| (0.022665339265377889246 - 1.127470844258209323e-909j)  +/-  (2.32e-63, 1.16e-175j)
| (0.018931433990759034903 + 1.6655078643403476624e-909j)  +/-  (2.26e-63, 1.13e-175j)
| (0.0041983259059781597845 + 3.6131975980050584741e-909j)  +/-  (9.78e-63, 4.88e-175j)
| (0.026330590510800793307 + 1.5386002163146825745e-910j)  +/-  (7.6e-64, 3.79e-176j)
| (0.042903461617927927746 - 7.0337008164735442904e-911j)  +/-  (3.22e-64, 1.61e-176j)
| (0.015161937360056376886 - 4.1873229590213768085e-910j)  +/-  (2.74e-63, 1.37e-175j)
| (0.026330590510800793307 + 8.0332104963188447518e-910j)  +/-  (3.5e-65, 1.75e-177j)
| (0.015161937360056376886 - 2.6288531733906823264e-909j)  +/-  (3.28e-65, 1.64e-177j)
| (0.060055295456881497041 - 8.5491920741582206737e-911j)  +/-  (9.2e-68, 4.59e-180j)
| (0.03669194976426927948 - 8.8188117580190019679e-911j)  +/-  (9.06e-66, 4.52e-178j)
| (0.0077266366839985658346 - 9.0865498550181046348e-909j)  +/-  (7.26e-66, 3.63e-178j)
| (0.03669194976426927948 - 3.6120868945639995375e-910j)  +/-  (4.66e-68, 2.33e-180j)
| (0.0077266366839985658346 - 1.3439586728974155795e-909j)  +/-  (6.14e-65, 3.07e-177j)
| (0.0041983259059781597845 + 2.4922108214820547946e-908j)  +/-  (9.3e-66, 4.64e-178j)
| (0.039877000475443348428 + 7.7868832189481036448e-911j)  +/-  (5.4e-67, 2.69e-179j)
| (0.011404646846492857864 + 6.9396016411499079374e-910j)  +/-  (2.94e-65, 1.47e-177j)
| (0.02990274724506759852 - 5.9626547399529839764e-910j)  +/-  (3.05e-68, 1.53e-180j)
| (0.039877000475443348428 + 2.9192369456311628051e-910j)  +/-  (8.76e-70, 4.37e-182j)
| (0.022665339265377889246 - 2.0141796266590068589e-910j)  +/-  (1.47e-66, 7.33e-179j)
| (0.033362159799537756655 + 1.0259055224632576838e-910j)  +/-  (4.1e-68, 2.05e-180j)
| (0.02990274724506759852 - 1.2322970631384938315e-910j)  +/-  (9.39e-68, 4.69e-180j)
| (0.061184877308989770339 + 7.8697487004289739621e-911j)  +/-  (1.22e-74, 6.1e-187j)
| (0.042903461617927927746 - 2.4078506018855421248e-910j)  +/-  (4.78e-73, 2.39e-185j)
| (0.033362159799537756655 + 4.5764967824391784043e-910j)  +/-  (1.55e-71, 7.72e-184j)
| (0.062701730665156057034 + 5.6554172570862773352e-911j)  +/-  (1.67e-76, 8.35e-189j)
| (0.048430246141557218155 - 6.0678561447858260361e-911j)  +/-  (1.7e-73, 8.51e-186j)
| (0.061184877308989770339 + 5.3868941715128325982e-911j)  +/-  (9.96e-77, 4.98e-189j)
| (0.048430246141557218155 - 1.724183882275687362e-910j)  +/-  (3.97e-75, 1.98e-187j)
| (0.045758511012181668503 + 2.0216384550965555943e-910j)  +/-  (2.65e-74, 1.32e-186j)
| (0.063082868298340636379 - 6.4445571969368282564e-911j)  +/-  (1.03e-77, 5.14e-190j)
| (0.050907642087021434153 + 5.7679927488339556827e-911j)  +/-  (3.16e-75, 1.58e-187j)
| (0.055239675599004462767 + 5.4131343450256123592e-911j)  +/-  (7.7e-77, 3.85e-189j)
| (0.063210085563614165978 + 6.1233965558868217092e-911j)  +/-  (8.79e-78, 4.39e-190j)
| (0.053180543749035714058 - 1.3060730023939355715e-910j)  +/-  (3.16e-78, 1.58e-190j)
| (0.011404646846492857864 + 4.5463880251400761001e-909j)  +/-  (1.85e-74, 9.25e-187j)
| (0.060055295456881497041 - 5.3215227386398538471e-911j)  +/-  (3.38e-78, 1.69e-190j)
| (0.053180543749035714058 - 5.55509011098576388e-911j)  +/-  (6.83e-77, 3.41e-189j)
| (0.063082868298340636379 - 5.8624641203020030809e-911j)  +/-  (2.84e-78, 1.42e-190j)
| (0.058684038630903740338 + 9.3683754238353665058e-911j)  +/-  (1.64e-79, 8.17e-192j)
| (0.050907642087021434153 + 1.4912037810401706663e-910j)  +/-  (9.69e-79, 4.84e-191j)
| (0.062068213240439526215 - 7.3046503605636223937e-911j)  +/-  (1.83e-79, 9.12e-192j)
| (0.057076659936571093314 - 5.3312432687376223593e-911j)  +/-  (3.32e-79, 1.66e-191j)
| (0.058684038630903740338 + 5.3021992358980968739e-911j)  +/-  (1.93e-79, 9.62e-192j)
| (0.062701730665156057034 + 6.834529413296608776e-911j)  +/-  (3.82e-80, 1.91e-192j)
| (0.055239675599004462767 + 1.1571431116649888907e-910j)  +/-  (4.79e-81, 2.4e-193j)
| (0.057076659936571093314 - 1.0360852917843192451e-910j)  +/-  (4.21e-81, 2.11e-193j)
| (0.062068213240439526215 - 5.4978112829111778456e-911j)  +/-  (3.65e-81, 1.68e-193j)
