Starting with polynomial:
P : t
Extension levels are: 1 70
-------------------------------------------------
Trying to find an order 70 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^71 - 2485*t^69 + 2914905*t^67 - 2148284985*t^65 + 1117108192200*t^63 - 436342459873320*t^61 + 133084450261362600*t^59 - 32529642056741629800*t^57 + 6489663590319955145100*t^55 - 1070794492402792598941500*t^53 + 147555481053104820134138700*t^51 - 17103021667518967788275167500*t^49 + 1676096123416858843250966415000*t^47 - 139373839185663416119561130355000*t^45 + 9855721485271912997026108503675000*t^43 - 593314433413369162420971731921235000*t^41 + 30407364712435169574074801260963293750*t^39 - 1325403367759674156140554572610223568750*t^37 + 49039924607107943777200519186578272043750*t^35 - 1535723954801538239338647837684951150843750*t^33 + 40543112406760609518540302914882710382275000*t^31 - 897740346149699210767678135972402872750375000*t^29 + 16567390024398994525985332872945253015302375000*t^27 - 252832778198436829505254427756686252537875375000*t^25 + 3160409727480460368815680346958578156723442187500*t^23 - 31983346442102258932414685111220810946041234937500*t^21 + 258327028955441322146426302821398857641102282187500*t^19 - 1636071183384461706927366584535526098393647787187500*t^17 + 7946631462153099719361494839172555335054860680625000*t^15 - 28772286328485361052860584762521321040715874878125000*t^13 + 74807944454061938737437520382555434705861274683125000*t^11 - 132723772418496988082550439388404803510399035728125000*t^9 + 149314243970809111592869244311955403949198915194140625*t^7 - 95018155254151252831825882743971620694944764214453125*t^5 + 27946516251220956715242906689403417851454342416015625*t^3 - 2395415678676082004163677716234578672981800778515625*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: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (9.8838586042091907077 - 5.2523839077366143716e-1198j)  +/-  (9.3e-493, 9.3e-493j)
| (13.510258843921570979 - 2.2333573043516439235e-1201j)  +/-  (7.75e-495, 7.75e-495j)
| (-15.755942586015312134 + 9.8988698258246607444e-1199j)  +/-  (3.02e-498, 3.02e-498j)
| (-12.356082263501967136 + 5.7909472264563731628e-1209j)  +/-  (1.05e-493, 1.05e-493j)
| (-14.880250173124935298 - 2.2294405404247713751e-1227j)  +/-  (9.84e-497, 9.84e-497j)
| (15.755942586015312134 + 6.2697563051603558573e-1246j)  +/-  (2.96e-498, 2.96e-498j)
| (6.4780618335488828053 + 2.9477580161040911395e-1244j)  +/-  (1.62e-494, 1.62e-494j)
| (-14.156032995764116235 + 1.6040646686643643758e-1250j)  +/-  (1.14e-495, 1.14e-495j)
| (-5.6816772763673623342 - 7.4613399609402088543e-1275j)  +/-  (1.92e-495, 1.92e-495j)
| (-11.824725305250436169 + 4.3903375836693798922e-1309j)  +/-  (2.68e-493, 2.68e-493j)
| (4.8992748917054205896 - 1.7449284925092652478e-1338j)  +/-  (8.67e-497, 8.67e-497j)
| (-9.8838586042091907077 - 2.8897716695059003796e-1337j)  +/-  (8.98e-493, 8.98e-493j)
| (14.156032995764116235 - 4.5410908152462287376e-1352j)  +/-  (1.1e-495, 1.1e-495j)
| (-4.5124619975808207432 + 3.4044293570113343978e-1352j)  +/-  (1.88e-497, 1.88e-497j)
| (-6.0779341149764104114 + 2.9648107354623849443e-1348j)  +/-  (5.73e-495, 5.73e-495j)
| (6.0779341149764104114 - 1.7987775853478141723e-1355j)  +/-  (5.7e-495, 5.7e-495j)
| (11.824725305250436169 + 5.384536571279274306e-1353j)  +/-  (2.66e-493, 2.66e-493j)
| (-6.4780618335488828053 - 3.3981848548198784979e-1357j)  +/-  (1.82e-494, 1.82e-494j)
| (-1.8614048311247043235 - 4.5841426542859923211e-1395j)  +/-  (9.26e-504, 9.26e-504j)
| (-7.2916877417200382261 - 4.0886160810779402858e-1385j)  +/-  (9.09e-494, 9.09e-494j)
| (-4.1281750464608604306 - 1.1002573745732556481e-1408j)  +/-  (3.91e-498, 3.91e-498j)
| (-11.315319510623465917 - 1.4854581161137165128e-1417j)  +/-  (5.46e-493, 5.46e-493j)
| (1.8614048311247043235 - 4.1816078160685948126e-1444j)  +/-  (9.82e-504, 9.82e-504j)
| (-3.7461421611413031475 + 6.966252060464641787e-1440j)  +/-  (5.03e-499, 5.03e-499j)
| (7.2916877417200382261 - 2.147970269931389811e-1432j)  +/-  (9.39e-494, 9.39e-494j)
| (-1.4880340889871599877 + 1.1902828702016851235e-1446j)  +/-  (8.28e-505, 8.28e-505j)
| (10.347475275969075671 + 1.4834876375292079551e-1433j)  +/-  (8.41e-493, 8.41e-493j)
| (2.9878394879476035788 - 1.5205945079890767177e-1456j)  +/-  (1.2e-500, 1.2e-500j)
| (-9.4312672590947941548 - 1.0263872505147439086e-1446j)  +/-  (9.73e-493, 9.73e-493j)
| (14.880250173124935298 + 1.0020815722066231009e-1463j)  +/-  (9.71e-497, 9.71e-497j)
| (8.5537326838400028123 + 6.4751994194739162589e-1459j)  +/-  (5.91e-493, 5.91e-493j)
| (10.823881275910488472 + 1.0311100632535791463e-1458j)  +/-  (6.29e-493, 6.29e-493j)
| (1.1153930829396608998 - 3.9701615578648156526e-1486j)  +/-  (5.9e-506, 5.9e-506j)
| (-13.510258843921570979 - 5.0579548334673703626e-1473j)  +/-  (7.82e-495, 7.82e-495j)
| (-7.7062032120893403354 - 1.6082071040626186149e-1490j)  +/-  (1.61e-493, 1.61e-493j)
| (-8.1266486719174190957 - 1.3633146375677991923e-1514j)  +/-  (4.83e-493, 4.83e-493j)
| (2.611106447567819619 + 1.5599489879165096517e-1532j)  +/-  (1.31e-501, 1.31e-501j)
| (6.8824871315338819235 + 8.3374764355866311055e-1526j)  +/-  (4.44e-494, 4.44e-494j)
| (-2.611106447567819619 + 2.5143378358972576554e-1533j)  +/-  (1.32e-501, 1.32e-501j)
| (8.9882807999404407766 - 3.4499999670465410706e-1523j)  +/-  (7.86e-493, 7.86e-493j)
| (11.315319510623465917 - 3.0818625433254311589e-1531j)  +/-  (5.34e-493, 5.34e-493j)
| (-5.2889070868763601783 + 3.190110536338802517e-1538j)  +/-  (3.64e-496, 3.64e-496j)
| (1.4880340889871599877 - 1.3195674422748921973e-1561j)  +/-  (8.57e-505, 8.57e-505j)
| (3.3661096989659567167 + 3.3757893147517979275e-1556j)  +/-  (9.39e-500, 9.39e-500j)
| (5.2889070868763601783 - 1.3637236200435884828e-1550j)  +/-  (3.84e-496, 3.84e-496j)
| (-4.8992748917054205896 + 3.0106529495948770102e-1549j)  +/-  (8.61e-497, 8.61e-497j)
| (-10.823881275910488472 + 1.9339761147271186575e-1571j)  +/-  (6.01e-493, 6.01e-493j)
| (9.4312672590947941548 - 1.5395730077484620193e-1585j)  +/-  (9.19e-493, 9.19e-493j)
| (-2.0961076478213889175e-1634 - 1.1610007943819950285e-1635j)  +/-  (1.49e-1632, 1.49e-1632j)
| (12.356082263501967136 + 1.4338466435458502356e-1589j)  +/-  (1.02e-493, 1.02e-493j)
| (3.7461421611413031475 - 2.2523615597697744844e-1609j)  +/-  (5.04e-499, 5.04e-499j)
| (-2.9878394879476035788 + 1.100913975457115234e-1610j)  +/-  (1.26e-500, 1.26e-500j)
| (-8.9882807999404407766 - 2.2685805624096360091e-1601j)  +/-  (7.89e-493, 7.89e-493j)
| (4.5124619975808207432 + 5.9969977157578174906e-1628j)  +/-  (1.8e-497, 1.8e-497j)
| (5.6816772763673623342 + 4.8951282803181823531e-1626j)  +/-  (1.96e-495, 1.96e-495j)
| (4.1281750464608604306 - 4.4702038118177227636e-1629j)  +/-  (3.91e-498, 3.91e-498j)
| (-12.915058740626343317 - 3.4673681406720250058e-1623j)  +/-  (3.55e-494, 3.55e-494j)
| (-2.2356965172640114667 + 2.2710573735740733383e-1644j)  +/-  (1.4e-502, 1.4e-502j)
| (7.7062032120893403354 - 3.7687113183532335522e-1635j)  +/-  (1.68e-493, 1.68e-493j)
| (2.2356965172640114667 - 8.6827434434251883711e-1644j)  +/-  (1.46e-502, 1.46e-502j)
| (-1.1153930829396608998 - 4.2274471738681700658e-1647j)  +/-  (6.77e-506, 6.77e-506j)
| (0.37155788561168614775 + 9.9183570829660495141e-1650j)  +/-  (1.08e-508, 1.08e-508j)
| (-0.37155788561168614775 + 5.63510882774468148e-1650j)  +/-  (1.08e-508, 1.08e-508j)
| (12.915058740626343317 - 1.3588754244007397156e-1634j)  +/-  (3.37e-494, 3.37e-494j)
| (-6.8824871315338819235 + 6.967118853207801468e-1641j)  +/-  (4.53e-494, 4.53e-494j)
| (8.1266486719174190957 + 4.9283644331542268389e-1651j)  +/-  (4.39e-493, 4.39e-493j)
| (-10.347475275969075671 + 2.266635872473027086e-1663j)  +/-  (8.63e-493, 8.63e-493j)
| (-3.3661096989659567167 + 1.7956779182678366756e-1689j)  +/-  (8.68e-500, 8.68e-500j)
| (-0.74329534486485920513 - 4.2569225394800848401e-1698j)  +/-  (4.4e-507, 4.4e-507j)
| (-8.5537326838400028123 + 1.6374448011760448883e-1681j)  +/-  (6.23e-493, 6.23e-493j)
| (0.74329534486485920513 - 2.5671144706748003997e-1710j)  +/-  (4.75e-507, 4.75e-507j)
-------------------------------------------------
The weights are:
| (1.117811123398304753e-22 + 2.9014922659472284422e-1219j)  +/-  (2.73e-170, 7.63e-414j)
| (5.7043303666755552863e-41 + 1.1565576236854059913e-1229j)  +/-  (7.4e-180, 2.07e-423j)
| (5.005716159762198827e-55 + 1.5323540913666605891e-1237j)  +/-  (1.33e-185, 3.71e-429j)
| (1.5277983478422262751e-34 - 3.0863136910163721958e-1227j)  +/-  (6.24e-179, 1.74e-422j)
| (2.5819762114368947715e-49 - 1.1394468992221885016e-1234j)  +/-  (3.3e-184, 9.23e-428j)
| (5.005716159762198827e-55 - 6.6908536011031201721e-1237j)  +/-  (9.47e-188, 2.65e-431j)
| (1.2379634588812327328e-10 + 1.8141611363539799239e-1214j)  +/-  (1.18e-162, 3.31e-406j)
| (8.271650080608704482e-45 + 2.1008945165129387655e-1232j)  +/-  (5.64e-183, 1.58e-426j)
| (1.5384227353622535092e-08 + 4.4250119043021292471e-1214j)  +/-  (1.65e-160, 4.61e-404j)
| (8.9982832346881697201e-32 + 7.6734207221917993307e-1226j)  +/-  (1.27e-178, 3.54e-422j)
| (9.5010500445627182694e-07 + 1.0859193810934486327e-1212j)  +/-  (6.85e-158, 1.91e-401j)
| (1.117811123398304753e-22 + 2.9700815195415723451e-1221j)  +/-  (5.26e-175, 1.47e-418j)
| (8.271650080608704482e-45 - 1.1821913576303940397e-1231j)  +/-  (7.33e-186, 2.05e-429j)
| (5.8252907808314466583e-06 - 9.3099633284609552668e-1213j)  +/-  (1.98e-156, 5.54e-400j)
| (1.5108862302615560401e-09 - 1.3523057368302608242e-1214j)  +/-  (3.02e-163, 8.45e-407j)
| (1.5108862302615560401e-09 - 5.6714798008521270976e-1214j)  +/-  (8.4e-165, 2.35e-408j)
| (8.9982832346881697201e-32 - 8.5827170681542173299e-1225j)  +/-  (4.82e-182, 1.35e-425j)
| (1.2379634588812327328e-10 + 3.7762462928207457902e-1215j)  +/-  (2.16e-165, 6.04e-409j)
| (0.026373650040150891165 + 7.6782638724945294632e-1211j)  +/-  (6.6e-140, 1.85e-383j)
| (4.6786221816617042317e-13 + 2.2115109938258815573e-1216j)  +/-  (5.76e-169, 1.61e-412j)
| (3.0454706268499228438e-05 + 2.1870902852285186796e-1212j)  +/-  (1.15e-156, 3.22e-400j)
| (3.1404788979934214647e-29 - 1.4679781504767110444e-1224j)  +/-  (1.43e-179, 3.99e-423j)
| (0.026373650040150891165 + 1.124135264088701625e-1210j)  +/-  (4.98e-144, 1.39e-387j)
| (0.00013629259181354018395 - 4.7564279288167853258e-1212j)  +/-  (2.45e-155, 6.85e-399j)
| (4.6786221816617042317e-13 + 1.4653320164442712275e-1215j)  +/-  (9.91e-173, 2.77e-416j)
| (0.049178111955549652978 - 1.0829137005291467132e-1210j)  +/-  (1.03e-140, 2.87e-384j)
| (1.0536749276780730894e-24 + 1.229518177128142874e-1220j)  +/-  (4.94e-181, 1.38e-424j)
| (0.00173489547251937336 - 3.354122158060961207e-1211j)  +/-  (1.92e-156, 5.36e-400j)
| (8.6454907186673846845e-21 - 2.6732400407918945108e-1220j)  +/-  (3.27e-177, 9.14e-421j)
| (2.5819762114368947715e-49 + 5.6475531529315155927e-1234j)  +/-  (2.48e-191, 6.93e-435j)
| (2.2242443273405897391e-17 - 1.9689702972551873706e-1217j)  +/-  (7.43e-178, 2.08e-421j)
| (7.0002857333261164786e-27 - 4.9426542426901744473e-1222j)  +/-  (1.89e-182, 5.3e-426j)
| (0.079743427443176874807 + 1.7883994432419925684e-1210j)  +/-  (8.68e-144, 2.43e-387j)
| (5.7043303666755552863e-41 - 1.7928185805858420567e-1230j)  +/-  (1.22e-187, 3.4e-431j)
| (2.1184583543021426184e-14 - 4.5949762955258240744e-1217j)  +/-  (1.42e-174, 3.98e-418j)
| (7.7086045968649114023e-16 + 8.5605686674062591644e-1218j)  +/-  (5.93e-176, 1.66e-419j)
| (0.0049620035010653761616 + 5.3786145326404018461e-1211j)  +/-  (2.54e-160, 7.09e-404j)
| (8.399387928387989415e-12 - 5.3622214437580569389e-1215j)  +/-  (4.19e-175, 1.17e-418j)
| (0.0049620035010653761616 + 3.1306474471842263499e-1211j)  +/-  (8.22e-161, 2.3e-404j)
| (5.0097873222301576214e-19 + 4.3888122114451580547e-1218j)  +/-  (1.16e-180, 3.24e-424j)
| (3.1404788979934214647e-29 + 2.1739979164786440725e-1223j)  +/-  (9.72e-186, 2.72e-429j)
| (1.3154949752476273204e-07 - 1.3274571808944976538e-1213j)  +/-  (6.76e-171, 1.89e-414j)
| (0.049178111955549652978 - 1.466774153757331074e-1210j)  +/-  (7.66e-157, 2.14e-400j)
| (0.00052390129317170602702 + 1.9501489585975319087e-1211j)  +/-  (2.18e-167, 6.09e-411j)
| (1.3154949752476273204e-07 - 4.3833317271547158783e-1213j)  +/-  (3.07e-173, 8.57e-417j)
| (9.5010500445627182694e-07 + 3.6615079350978453046e-1213j)  +/-  (1.78e-170, 4.97e-414j)
| (7.0002857333261164786e-27 + 2.2437055291428668012e-1223j)  +/-  (1.93e-185, 5.38e-429j)
| (8.6454907186673846845e-21 - 1.1408518613558515147e-1218j)  +/-  (4.47e-182, 1.25e-425j)
| (0.14821822525562159381 - 2.1630420190232454818e-1210j)  +/-  (2.51e-160, 7.03e-404j)
| (1.5277983478422262751e-34 + 2.776424929413939667e-1226j)  +/-  (2.57e-189, 7.19e-433j)
| (0.00013629259181354018395 - 1.0562579244489440539e-1211j)  +/-  (3.99e-171, 1.12e-414j)
| (0.00173489547251937336 - 1.7969727346509243307e-1211j)  +/-  (2.67e-169, 7.45e-413j)
| (5.0097873222301576214e-19 + 2.082711832241403154e-1219j)  +/-  (1.36e-182, 3.8e-426j)
| (5.8252907808314466583e-06 - 2.495239631012285718e-1212j)  +/-  (1.52e-173, 4.24e-417j)
| (1.5384227353622535092e-08 + 1.6390935134580059472e-1213j)  +/-  (8.59e-176, 2.4e-419j)
| (3.0454706268499228438e-05 + 5.3244036726831533684e-1212j)  +/-  (5.9e-173, 1.65e-416j)
| (1.3833315529563768714e-37 + 9.059194687314918357e-1229j)  +/-  (8.07e-193, 2.26e-436j)
| (0.012284408266341455132 - 5.0784492649584265915e-1211j)  +/-  (5e-171, 1.4e-414j)
| (2.1184583543021426184e-14 - 3.7116027345381030799e-1216j)  +/-  (9.16e-181, 2.56e-424j)
| (0.012284408266341455132 - 8.0474949535038006104e-1211j)  +/-  (9.16e-172, 2.57e-415j)
| (0.079743427443176874807 + 1.42568961074384464e-1210j)  +/-  (1.86e-171, 5.23e-415j)
| (0.13836559740266985819 + 2.1715466594178250085e-1210j)  +/-  (4.24e-170, 1.19e-413j)
| (0.13836559740266985819 + 2.0141946325974015594e-1210j)  +/-  (1.03e-170, 2.89e-414j)
| (1.3833315529563768714e-37 - 6.8137972285580414299e-1228j)  +/-  (1.26e-192, 3.53e-436j)
| (8.399387928387989415e-12 - 9.5990019084192280764e-1216j)  +/-  (6.75e-181, 1.9e-424j)
| (7.7086045968649114023e-16 + 8.7741470975549401373e-1217j)  +/-  (8.46e-182, 2.36e-425j)
| (1.0536749276780730894e-24 - 2.8175360484102461917e-1222j)  +/-  (4.76e-188, 1.32e-431j)
| (0.00052390129317170602702 + 9.5929144501529517205e-1212j)  +/-  (4.26e-177, 1.05e-420j)
| (0.11255122072638000526 - 1.7530681861042213405e-1210j)  +/-  (5.82e-175, 1.24e-418j)
| (2.2242443273405897391e-17 - 1.4204558436617789124e-1218j)  +/-  (1.87e-184, 5.37e-428j)
| (0.11255122072638000526 - 2.0381813426987973442e-1210j)  +/-  (5.32e-175, 1.04e-418j)
