Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^52 - 1550571682777332044635866459430470914756056617456/40482020411384618043219305204899493414313061*t^50 + 17524624169708263623429071961348961895567756460774984/1659762836866769339771991513400879229986835501*t^48 - 2956834255540507173942611946498393778802578555197637350/1659762836866769339771991513400879229986835501*t^46 + 48897949746638785790060949731265618724079495721648866655/237108976695252762824570216200125604283833643*t^44 - 57767876057473864822825345394666529287792625114667481049165/3319525673733538679543983026801758459973671002*t^42 + 25685160867328618607139313640891121007554269120530543119645/23132583092219781738982460117085424808178892*t^40 - 2537181742068409913914295178287396507034011059555062219113835/46265166184439563477964920234170849616357784*t^38 + 197038963526263401126993860772220011116370195120970535504086725/92530332368879126955929840468341699232715568*t^36 - 12153106968571775154867756749241050077094801066491402061269154175/185060664737758253911859680936683398465431136*t^34 + 599045256741150959441916597224990383402317321272313000316599324825/370121329475516507823719361873366796930862272*t^32 - 11836128753410428936201456347714056424975943814724228811016213340225/370121329475516507823719361873366796930862272*t^30 + 375187009722816583454422993868165433035814693341031771801408804588675/740242658951033015647438723746733593861724544*t^28 - 9523146971005637426495883232907412218835858733169852062450390480920375/1480485317902066031294877447493467187723449088*t^26 + 192777169351650029296300419769224594852829503854298708658114858044875625/2960970635804132062589754894986934375446898176*t^24 - 3092304002186597449945552375041688525321973191579320892411467566149486875/5921941271608264125179509789973868750893796352*t^22 + 38949064139277880115669069119506272091526733952725959686233118861696436875/11843882543216528250359019579947737501787592704*t^20 - 47559215098152095334597553997995482047780205783479170119359241464732611875/2960970635804132062589754894986934375446898176*t^18 + 177201471916871540499971399268605056420094253809975847598598107391494303125/2960970635804132062589754894986934375446898176*t^16 - 31529565569182270414682110838246329416757242071233328929038189968746991690625/189502120691464452005744313279163800028601483264*t^14 + 126957445333610129324635097262221306877274629221127529257258151749259467871875/379004241382928904011488626558327600057202966528*t^12 - 355156020357775734655648097863687596177942506598132333460438285783285172559375/758008482765857808022977253116655200114405933056*t^10 + 650310631216898479262356899961877099524288716565542164778964632430095535490625/1516016965531715616045954506233310400228811866112*t^8 - 712039729392315413194121441119861825350790883317773509577103617860684129859375/3032033931063431232091909012466620800457623732224*t^6 + 401253925882513843243752621840528266021556760064046056253546344502323810015625/6064067862126862464183818024933241600915247464448*t^4 - 86720426327224405950458476341784101866456955338684444866782958230861014859375/12128135724253724928367636049866483201830494928896*t^2 + 2982596674546431351816170394147241760734082906434382750366146651493793515625/24256271448507449856735272099732966403660989857792
-------------------------------------------------
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:   52 out of 52
Indefinite weights: 0 out of 52
Negative weights:   0 out of 52
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (7.3921439102621832278 - 3.605434432761355044e-844j)  +/-  (5.45e-244, 5.45e-244j)
| (9.0918576276547159447 - 2.3652546618622162864e-856j)  +/-  (1.59e-246, 1.59e-246j)
| (-6.1061811895310911678 + 6.3747475821599499901e-852j)  +/-  (3.79e-243, 3.79e-243j)
| (-9.0918576276547159447 + 2.9348265535810880723e-857j)  +/-  (1.82e-246, 1.82e-246j)
| (-5.3378690214099881733 + 2.0619807019135514705e-853j)  +/-  (4.32e-243, 4.32e-243j)
| (-7.3921439102621832278 - 1.4947230022943600737e-855j)  +/-  (5.71e-244, 5.71e-244j)
| (6.9391223798460768979 - 5.4023555519779434844e-854j)  +/-  (1.7e-243, 1.7e-243j)
| (-6.9391223798460768979 + 9.2339110907003090096e-862j)  +/-  (1.53e-243, 1.53e-243j)
| (-2.2662150468200201312 + 1.2974279053735044428e-865j)  +/-  (6.26e-246, 6.26e-246j)
| (7.8824069426619689872 - 1.9277709733430853596e-863j)  +/-  (1.47e-244, 1.47e-244j)
| (8.430757160843137537 + 1.1713261784281125871e-867j)  +/-  (2.48e-245, 2.48e-245j)
| (-7.8824069426619689872 - 2.9570410543744347813e-870j)  +/-  (1.43e-244, 1.43e-244j)
| (-2.9204789838122676679 + 6.6638361785547293243e-872j)  +/-  (3.11e-245, 3.11e-245j)
| (-3.5809378605379777454 - 4.2550020309059544301e-872j)  +/-  (2.21e-244, 2.21e-244j)
| (-4.9708210451159424578 - 1.5231720774899262325e-870j)  +/-  (2.94e-243, 2.94e-243j)
| (6.1061811895310911678 - 4.5870182638814677102e-871j)  +/-  (3.89e-243, 3.89e-243j)
| (-8.430757160843137537 - 1.1453692435008408795e-882j)  +/-  (2.32e-245, 2.32e-245j)
| (2.5978589955436726622 - 9.9041819235017719212e-883j)  +/-  (1.44e-245, 1.44e-245j)
| (-1.0312428142406714583 - 1.182570945413418973e-889j)  +/-  (8.78e-251, 8.78e-251j)
| (3.5809378605379777454 - 2.1779879689513826321e-881j)  +/-  (2.21e-244, 2.21e-244j)
| (1.9566450512477784766 + 9.6652582043166661414e-892j)  +/-  (2.24e-247, 2.24e-247j)
| (1.6445539636419125751 + 3.8259781285236144319e-893j)  +/-  (1.73e-248, 1.73e-248j)
| (1.0312428142406714583 - 7.2346505582988550723e-897j)  +/-  (9.4e-251, 9.4e-251j)
| (-3.2483101895305633606 - 5.8752578101342708029e-890j)  +/-  (8.48e-245, 8.48e-245j)
| (-0.73126176813200369855 + 5.3092333083194816032e-897j)  +/-  (6.29e-252, 6.29e-252j)
| (-1.9566450512477784766 - 1.0931085807281478032e-892j)  +/-  (2.3e-247, 2.3e-247j)
| (1.3358490740136969497 - 3.1710955468842744252e-895j)  +/-  (1.27e-249, 1.27e-249j)
| (4.6127794965395762051 + 5.7069982941059184661e-887j)  +/-  (2.03e-243, 2.03e-243j)
| (-6.5126122526672232158 + 3.2421503163552554067e-896j)  +/-  (3.03e-243, 3.03e-243j)
| (-1.6445539636419125751 - 1.4130730538976888744e-905j)  +/-  (1.65e-248, 1.65e-248j)
| (-2.5978589955436726622 - 1.4990042277114060844e-902j)  +/-  (1.42e-245, 1.42e-245j)
| (2.9204789838122676679 - 6.9644707006869734849e-900j)  +/-  (3.11e-245, 3.11e-245j)
| (0.73126176813200369855 + 4.7962882718695580804e-911j)  +/-  (6.18e-252, 6.18e-252j)
| (-5.7155922400790852862 + 7.5063922741629724666e-900j)  +/-  (4.6e-243, 4.6e-243j)
| (6.5126122526672232158 - 1.3590396563409653947e-912j)  +/-  (2.83e-243, 2.83e-243j)
| (-4.2624404288952949073 - 2.9696365875547741019e-930j)  +/-  (1.07e-243, 1.07e-243j)
| (5.3378690214099881733 + 3.5530108753876378243e-943j)  +/-  (4.39e-243, 4.39e-243j)
| (2.3506049736744922228 + 5.1979916912594982274e-958j)  +/-  (1.18e-245, 1.18e-245j)
| (3.2483101895305633606 + 7.1727446195859925758e-957j)  +/-  (8.88e-245, 8.88e-245j)
| (-3.9187682803622461336 + 2.4871938267689630691e-956j)  +/-  (5.28e-244, 5.28e-244j)
| (-1.3358490740136969497 - 6.7331538567177105252e-963j)  +/-  (1.23e-249, 1.23e-249j)
| (5.7155922400790852862 + 3.0373587787725386917e-955j)  +/-  (4.21e-243, 4.21e-243j)
| (4.2624404288952949073 + 9.8804484370804946341e-958j)  +/-  (1.09e-243, 1.09e-243j)
| (2.2662150468200201312 + 6.0455108400838274735e-963j)  +/-  (6.43e-246, 6.43e-246j)
| (4.9708210451159424578 - 3.2914323425913312561e-963j)  +/-  (3.24e-243, 3.24e-243j)
| (-2.3506049736744922228 - 3.3392768845539220073e-966j)  +/-  (1.21e-245, 1.21e-245j)
| (-4.6127794965395762051 - 2.4603343222875486678e-967j)  +/-  (2.05e-243, 2.05e-243j)
| (0.14483374873683025359 + 8.7741890169299672006e-978j)  +/-  (2.5e-254, 2.5e-254j)
| (0.43607741192761650868 - 5.6382049793134266209e-979j)  +/-  (3.61e-253, 3.61e-253j)
| (3.9187682803622461336 + 1.1679264838029336519e-974j)  +/-  (5.02e-244, 5.02e-244j)
| (-0.14483374873683025359 + 1.3430341458767692542e-984j)  +/-  (2.5e-254, 2.5e-254j)
| (-0.43607741192761650868 - 4.5904682237975607781e-984j)  +/-  (3.61e-253, 3.61e-253j)
-------------------------------------------------
The weights are:
| (4.9135209105933668314e-25 + 1.3862123311518843978e-867j)  +/-  (7.12e-76, 1.38e-197j)
| (5.4247160289153980251e-37 + 5.6947950153927845262e-875j)  +/-  (1.7e-80, 3.28e-202j)
| (1.440014477523615037e-17 + 1.3263785086809464478e-865j)  +/-  (4.47e-73, 8.62e-195j)
| (5.4247160289153980251e-37 + 5.8683532701561051721e-876j)  +/-  (3.26e-82, 6.29e-204j)
| (8.8667547346407069904e-14 + 1.742532891782176468e-863j)  +/-  (6.97e-71, 1.34e-192j)
| (4.9135209105933668314e-25 - 1.1968326451094377307e-869j)  +/-  (8.35e-78, 1.61e-199j)
| (3.0299593911631669346e-22 - 1.1899545004215078852e-866j)  +/-  (1e-77, 1.93e-199j)
| (3.0299593911631669346e-22 + 3.7553892373642322499e-868j)  +/-  (1.59e-76, 3.07e-198j)
| (0.00094973873697282099988 + 3.0897866872327459496e-856j)  +/-  (1.57e-57, 3.04e-179j)
| (3.0130888054725888175e-28 + 7.2928170312224986599e-870j)  +/-  (1.99e-80, 3.83e-202j)
| (4.503711489471266981e-32 - 3.4028879494060905681e-872j)  +/-  (4.93e-82, 9.53e-204j)
| (3.0130888054725888175e-28 + 2.3385649567759713372e-871j)  +/-  (2.65e-80, 5.12e-202j)
| (3.6285939964031370211e-05 - 5.6794803540686262975e-858j)  +/-  (1.97e-64, 3.8e-186j)
| (5.1008272580674561101e-07 - 2.1920652428298861563e-859j)  +/-  (6.37e-68, 1.23e-189j)
| (3.7973918723431607453e-12 - 1.4982038202974095978e-862j)  +/-  (8.94e-73, 1.73e-194j)
| (1.440014477523615037e-17 - 1.3878941737929945373e-864j)  +/-  (2.51e-79, 4.85e-201j)
| (4.503711489471266981e-32 - 2.2319429777649195373e-873j)  +/-  (1.34e-82, 2.59e-204j)
| (0.00021084521120967550678 - 7.8177655882536420323e-857j)  +/-  (2e-67, 3.85e-189j)
| (0.058898780609336724627 + 3.8801598741818173749e-856j)  +/-  (9.15e-55, 1.77e-176j)
| (5.1008272580674561101e-07 + 6.3069842304577247043e-859j)  +/-  (2.33e-72, 4.51e-194j)
| (0.0038434922065061626078 + 2.7909004992669661965e-856j)  +/-  (1.06e-63, 2.05e-185j)
| (0.011721598972538206904 - 3.1121238487679820417e-856j)  +/-  (1.55e-61, 2.99e-183j)
| (0.058898780609336724627 - 5.1376681545192264986e-856j)  +/-  (8.16e-57, 1.58e-178j)
| (4.8721549395105418452e-06 + 1.1041948767753139402e-858j)  +/-  (3.6e-69, 6.95e-191j)
| (0.098344964240170423668 - 5.2507117183141352127e-856j)  +/-  (1.63e-57, 3.15e-179j)
| (0.0038434922065061626078 - 1.6230670668350826184e-856j)  +/-  (7.64e-64, 1.47e-185j)
| (0.029054757718052008254 + 3.9750613949644790904e-856j)  +/-  (2.42e-60, 4.67e-182j)
| (1.147157111454086624e-10 - 4.7689897382712980543e-861j)  +/-  (2.81e-77, 5.42e-199j)
| (8.9106301115018971368e-20 - 8.146903673602494054e-867j)  +/-  (4.48e-79, 8.64e-201j)
| (0.011721598972538206904 + 1.9797943502847852944e-856j)  +/-  (1.03e-63, 1.99e-185j)
| (0.00021084521120967550678 + 3.7532007419374788925e-857j)  +/-  (1.53e-67, 2.95e-189j)
| (3.6285939964031370211e-05 + 1.3092211777900931158e-857j)  +/-  (7.81e-72, 1.51e-193j)
| (0.098344964240170423668 + 6.4030746815499928771e-856j)  +/-  (1.54e-62, 2.98e-184j)
| (1.4058166637393823208e-15 - 1.6753418882033228947e-864j)  +/-  (2.79e-77, 5.39e-199j)
| (8.9106301115018971368e-20 + 1.2915204410177635085e-865j)  +/-  (1.18e-82, 2.27e-204j)
| (2.5184540244906665599e-09 - 7.1527263040715501074e-861j)  +/-  (4.8e-75, 9.26e-197j)
| (8.8667547346407069904e-14 - 1.0721570995050713994e-862j)  +/-  (8.15e-81, 1.57e-202j)
| (8.9361692703206828722e-05 + 5.0905855947919000329e-856j)  +/-  (1.94e-71, 3.75e-193j)
| (4.8721549395105418452e-06 - 2.833767366518504743e-858j)  +/-  (7.89e-75, 1.52e-196j)
| (4.1148849312305790324e-08 + 4.1360121491926810984e-860j)  +/-  (2.14e-75, 4.13e-197j)
| (0.029054757718052008254 - 2.7587036456320772647e-856j)  +/-  (3.05e-69, 5.89e-191j)
| (1.4058166637393823208e-15 + 1.3113679533267799417e-863j)  +/-  (7.57e-82, 1.46e-203j)
| (2.5184540244906665599e-09 + 2.6604317661467919672e-860j)  +/-  (4.44e-79, 8.57e-201j)
| (0.00094973873697282099988 - 5.82006361036282938e-856j)  +/-  (4.03e-73, 7.78e-195j)
| (3.7973918723431607453e-12 + 7.6242843937440028381e-862j)  +/-  (1.42e-80, 2.74e-202j)
| (8.9361692703206828722e-05 - 2.635044168463242438e-856j)  +/-  (7.09e-74, 1.36e-195j)
| (1.147157111454086624e-10 + 1.1060439577110938628e-861j)  +/-  (1.38e-79, 2.66e-201j)
| (0.16018896070332393227 + 7.9664386997643113205e-856j)  +/-  (3.98e-74, 7.69e-196j)
| (0.13665578794565096201 - 7.4684815610736551303e-856j)  +/-  (4.69e-74, 9.02e-196j)
| (4.1148849312305790324e-08 - 1.3456938914142213724e-859j)  +/-  (9.48e-79, 1.84e-200j)
| (0.16018896070332393227 - 7.6603894693688519721e-856j)  +/-  (1.18e-74, 2.33e-196j)
| (0.13665578794565096201 + 6.6367303127077033172e-856j)  +/-  (7.94e-75, 1.46e-196j)
