Starting with polynomial:
P : 2*t
Extension levels are: 1 70
-------------------------------------------------
Trying to find an order 70 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^71 - 2485*t^69 + 2914905/2*t^67 - 2148284985/4*t^65 + 139638524025*t^63 - 54542807484165/2*t^61 + 16635556282670325/4*t^59 - 4066205257092703725/8*t^57 + 1622415897579988786275/32*t^55 - 267698623100698149735375/64*t^53 + 36888870263276205033534675/128*t^51 - 4275755416879741947068791875/256*t^49 + 209512015427107355406370801875/256*t^47 - 17421729898207927014945141294375/512*t^45 + 1231965185658989124628263562959375/1024*t^43 - 74164304176671145302621466490154375/2048*t^41 + 15203682356217584787037400630481646875/16384*t^39 - 662701683879837078070277286305111784375/32768*t^37 + 24519962303553971888600259593289136021875/65536*t^35 - 767861977400769119669323918842475575421875/131072*t^33 + 5067889050845076189817537864360338797784375/65536*t^31 - 112217543268712401345959766996550359093796875/131072*t^29 + 2070923753049874315748166609118156626912796875/262144*t^27 - 31604097274804603688156803469585781567234421875/524288*t^25 + 790102431870115092203920086739644539180860546875/2097152*t^23 - 7995836610525564733103671277805202736510308734375/4194304*t^21 + 64581757238860330536606575705349714410275570546875/8388608*t^19 - 409017795846115426731841646133881524598411946796875/16777216*t^17 + 993328932769137464920186854896569416881857585078125/16777216*t^15 - 3596535791060670131607573095315165130089484359765625/33554432*t^13 + 9350993056757742342179690047819429338232659335390625/67108864*t^11 - 16590471552312123510318804923550600438799879466015625/134217728*t^9 + 149314243970809111592869244311955403949198915194140625/2147483648*t^7 - 95018155254151252831825882743971620694944764214453125/4294967296*t^5 + 27946516251220956715242906689403417851454342416015625/8589934592*t^3 - 2395415678676082004163677716234578672981800778515625/17179869184*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:
| (-9.5531956441224688131 - 1.8839092388472590527e-1306j)  +/-  (5.44e-495, 5.44e-495j)
| (11.141133846557335064 + 7.4242537145794068317e-1310j)  +/-  (2.24e-498, 2.24e-498j)
| (10.009826926005323777 + 2.1672090398569862269e-1307j)  +/-  (7.79e-496, 7.79e-496j)
| (-8.7370695574210663263 + 2.0960267366862078233e-1304j)  +/-  (7.64e-494, 7.64e-494j)
| (8.3613434490107515504 - 6.2100614380100965318e-1307j)  +/-  (1.84e-493, 1.84e-493j)
| (5.746408384233457506 - 2.7771414656370295295e-1308j)  +/-  (2.85e-493, 2.85e-493j)
| (8.7370695574210663263 - 1.0450050818933568019e-1307j)  +/-  (7.42e-494, 7.42e-494j)
| (-9.1323256149194797824 - 1.9284271812518295839e-1310j)  +/-  (2.14e-494, 2.14e-494j)
| (-10.521925803168939542 + 9.2219259032428951178e-1318j)  +/-  (6.57e-497, 6.57e-497j)
| (3.4643104988218911558 + 8.929219424576151458e-1319j)  +/-  (6.18e-497, 6.18e-497j)
| (1.0521989949595673247 + 3.3006293132055856862e-1327j)  +/-  (5.88e-505, 5.88e-505j)
| (8.0011391572542991305 + 2.3426272151590409831e-1313j)  +/-  (3.98e-493, 3.98e-493j)
| (-4.8666533221367577755 + 1.2446331344734937626e-1339j)  +/-  (3.09e-494, 3.09e-494j)
| (-8.0011391572542991305 + 3.7865837308899033648e-1400j)  +/-  (3.98e-493, 3.98e-493j)
| (-6.0484023852002727642 - 1.0250461461486407775e-1463j)  +/-  (4.37e-493, 4.37e-493j)
| (2.3801989943566361137 - 2.538226849244355257e-1497j)  +/-  (6.21e-500, 6.21e-500j)
| (2.648922525431843701 + 4.0170538705723655949e-1497j)  +/-  (4.03e-499, 4.03e-499j)
| (-5.1560018484650619302 - 9.2402500752291539521e-1493j)  +/-  (6.56e-494, 6.56e-494j)
| (6.9889434433253232461 - 2.0346505930243082615e-1500j)  +/-  (6.45e-493, 6.45e-493j)
| (-11.141133846557335064 - 1.3047213956674594062e-1509j)  +/-  (2.22e-498, 2.22e-498j)
| (9.5531956441224688131 - 3.5367208612220614998e-1503j)  +/-  (5.44e-495, 5.44e-495j)
| (-10.009826926005323777 - 6.3586425578878308939e-1510j)  +/-  (7.12e-496, 7.12e-496j)
| (10.521925803168939542 + 1.1954375441907713131e-1511j)  +/-  (6.68e-497, 6.68e-497j)
| (-3.1907924783359925576 + 3.0812048442452235917e-1516j)  +/-  (1.32e-497, 1.32e-497j)
| (9.1323256149194797824 - 1.8859236113761034252e-1514j)  +/-  (2.27e-494, 2.27e-494j)
| (-7.3167699357978756498 + 6.9723400267148987716e-1534j)  +/-  (5.41e-493, 5.41e-493j)
| (2.9190605692775652968 + 1.7644674555996434661e-1561j)  +/-  (2.75e-498, 2.75e-498j)
| (6.6689130340885924278 - 5.2928549288948462032e-1555j)  +/-  (6.22e-493, 6.22e-493j)
| (-8.3613434490107515504 - 4.7305980265066071791e-1578j)  +/-  (1.86e-493, 1.86e-493j)
| (-0.78870201263520345445 - 2.0493339977951364375e-1605j)  +/-  (4.78e-506, 4.78e-506j)
| (3.7398220661958629145 + 3.6924798503211708663e-1592j)  +/-  (2.57e-496, 2.57e-496j)
| (-5.4491085484699268607 + 1.0409658541338256439e-1603j)  +/-  (1.24e-493, 1.24e-493j)
| (1.580876168032529726 + 1.2941491602831933311e-1635j)  +/-  (1.02e-502, 1.02e-502j)
| (2.1127215630246923231 - 1.0348115219812173281e-1633j)  +/-  (9.3e-501, 9.3e-501j)
| (-6.3556743048467316011 + 5.5305177679557966143e-1624j)  +/-  (6.1e-493, 6.1e-493j)
| (-2.9190605692775652968 + 5.9048972439938284372e-1638j)  +/-  (2.59e-498, 2.59e-498j)
| (1.8463310754751216537 + 4.3098961208725262272e-1641j)  +/-  (8.73e-502, 8.73e-502j)
| (7.3167699357978756498 + 7.687799858655397427e-1631j)  +/-  (5.41e-493, 5.41e-493j)
| (4.5806814514481747246 + 3.9567820501648239569e-1635j)  +/-  (1.1e-494, 1.1e-494j)
| (5.1560018484650619302 + 2.9913084591553786252e-1633j)  +/-  (6.75e-494, 6.75e-494j)
| (-0.52558917877833537904 + 4.8129725632146108985e-1649j)  +/-  (3.7e-507, 3.7e-507j)
| (-3.7398220661958629145 - 2.7040501031754348389e-1638j)  +/-  (2.5e-496, 2.5e-496j)
| (6.3556743048467316011 - 2.2351396192442982526e-1633j)  +/-  (5.96e-493, 5.96e-493j)
| (3.1907924783359925576 - 4.7454003395637081726e-1648j)  +/-  (1.37e-497, 1.37e-497j)
| (-2.3801989943566361137 - 1.431494208228035293e-1649j)  +/-  (6.59e-500, 6.59e-500j)
| (1.316211978621678747 - 1.0016805493218818681e-1653j)  +/-  (7.11e-504, 7.11e-504j)
| (-3.4643104988218911558 + 1.2529647214514345304e-1643j)  +/-  (6.37e-497, 6.37e-497j)
| (6.0484023852002727642 + 2.2956842362206570549e-1642j)  +/-  (4.42e-493, 4.42e-493j)
| (0.52558917877833537904 - 2.5978522385854712472e-1674j)  +/-  (3.48e-507, 3.48e-507j)
| (-7.6536398489544066037 - 2.5689255767432349573e-1658j)  +/-  (4.06e-493, 4.06e-493j)
| (-4.2977484283048770195 - 3.491529880358934355e-1673j)  +/-  (4.01e-495, 4.01e-495j)
| (-4.017552530632875784 - 1.589627423118097331e-1682j)  +/-  (1.42e-495, 1.42e-495j)
| (-1.316211978621678747 - 1.2901266487084631856e-1697j)  +/-  (6.85e-504, 6.85e-504j)
| (4.8666533221367577755 + 2.5883767377663940997e-1686j)  +/-  (3.1e-494, 3.1e-494j)
| (-2.648922525431843701 - 1.2879962459910395786e-1698j)  +/-  (3.58e-499, 3.58e-499j)
| (4.017552530632875784 + 2.3548241868839592583e-1695j)  +/-  (1.41e-495, 1.41e-495j)
| (-6.9889434433253232461 - 9.1706527416868769857e-1714j)  +/-  (6.64e-493, 6.64e-493j)
| (-1.0521989949595673247 - 4.5715503085749887473e-1752j)  +/-  (5.85e-505, 5.85e-505j)
| (-4.5806814514481747246 - 6.9952973497736309474e-1750j)  +/-  (1.11e-494, 1.11e-494j)
| (0.78870201263520345445 - 3.6564516983088130348e-1789j)  +/-  (4.19e-506, 4.19e-506j)
| (-0.26273110051935881165 + 2.2425074482242021529e-1791j)  +/-  (8.93e-509, 8.93e-509j)
| (-5.746408384233457506 + 2.5275365750237578257e-1775j)  +/-  (3.02e-493, 3.02e-493j)
| (-6.6689130340885924278 + 2.5280019426609100022e-1792j)  +/-  (6.41e-493, 6.41e-493j)
| (-2.1127215630246923231 + 1.6966125202285479386e-1809j)  +/-  (8.99e-501, 8.99e-501j)
| (7.6536398489544066037 + 3.8173741680710787257e-1800j)  +/-  (4.01e-493, 4.01e-493j)
| (5.4491085484699268607 + 1.5194927700145226658e-1801j)  +/-  (1.4e-493, 1.4e-493j)
| (-1.8463310754751216537 - 3.248447455008839705e-1809j)  +/-  (8.86e-502, 8.86e-502j)
| (4.2977484283048770195 + 9.8163909943666182638e-1803j)  +/-  (4.09e-495, 4.09e-495j)
| (-1.580876168032529726 - 2.8503420199423934712e-1810j)  +/-  (9.36e-503, 9.36e-503j)
| (-4.6911524629472737106e-1834 + 1.3544464988106910149e-1833j)  +/-  (1.02e-1831, 1.02e-1831j)
| (0.26273110051935881165 + 9.4327529096738775222e-1816j)  +/-  (8.53e-509, 8.53e-509j)
-------------------------------------------------
The weights are:
| (5.7043303666755552863e-41 - 3.8065794687480768673e-1337j)  +/-  (1.14e-179, 1.24e-424j)
| (5.005716159762198827e-55 - 1.011229901623565996e-1343j)  +/-  (1.21e-184, 1.32e-429j)
| (8.271650080608704482e-45 - 1.6448423398893543299e-1338j)  +/-  (1.54e-181, 1.68e-426j)
| (1.5277983478422262751e-34 - 6.5774999448368513521e-1334j)  +/-  (1.75e-178, 1.91e-423j)
| (8.9982832346881697201e-32 - 8.8450945764730981908e-1332j)  +/-  (5.93e-177, 6.46e-422j)
| (7.7086045968649114023e-16 + 1.2301846013136113478e-1322j)  +/-  (9.07e-168, 9.88e-413j)
| (1.5277983478422262751e-34 + 3.1867832017854258677e-1333j)  +/-  (3.59e-178, 3.91e-423j)
| (1.3833315529563768714e-37 + 1.9276912985331008989e-1335j)  +/-  (5.81e-181, 6.34e-426j)
| (2.5819762114368947715e-49 - 2.408417314069167716e-1341j)  +/-  (4.08e-186, 4.45e-431j)
| (9.5010500445627182694e-07 + 3.2933153774470691824e-1319j)  +/-  (9.5e-157, 1.04e-401j)
| (0.049178111955549652978 - 3.6425688458513278935e-1317j)  +/-  (4.9e-127, 5.35e-372j)
| (3.1404788979934214647e-29 + 1.9164100236376134987e-1330j)  +/-  (1.07e-176, 1.17e-421j)
| (8.399387928387989415e-12 - 2.1055447498764081397e-1322j)  +/-  (3.79e-167, 4.13e-412j)
| (3.1404788979934214647e-29 - 3.1429019821831599385e-1331j)  +/-  (6.05e-179, 6.6e-424j)
| (2.2242443273405897391e-17 - 3.0830405146966990477e-1325j)  +/-  (9.43e-173, 1.03e-417j)
| (0.00052390129317170602702 + 5.2428519074306442477e-1318j)  +/-  (2.15e-150, 2.34e-395j)
| (0.00013629259181354018395 - 2.9060994879232274798e-1318j)  +/-  (6.28e-153, 6.85e-398j)
| (4.6786221816617042317e-13 + 4.8374598945226942117e-1323j)  +/-  (2.66e-169, 2.9e-414j)
| (1.117811123398304753e-22 - 6.5608679638459611038e-1327j)  +/-  (1.45e-176, 1.59e-421j)
| (5.005716159762198827e-55 + 3.2304447933023057996e-1344j)  +/-  (5.32e-190, 5.8e-435j)
| (5.7043303666755552863e-41 + 1.5297834015916329011e-1336j)  +/-  (2.05e-184, 2.23e-429j)
| (8.271650080608704482e-45 + 4.4508923145811287029e-1339j)  +/-  (4.54e-186, 4.95e-431j)
| (2.5819762114368947715e-49 + 8.2043056715363528011e-1341j)  +/-  (4.84e-188, 5.28e-433j)
| (5.8252907808314466583e-06 - 2.0822853535407931738e-1319j)  +/-  (3.68e-164, 4.01e-409j)
| (1.3833315529563768714e-37 - 8.4697995067906159467e-1335j)  +/-  (4.28e-183, 4.67e-428j)
| (1.0536749276780730894e-24 - 6.0586578435484407799e-1329j)  +/-  (4.07e-180, 4.44e-425j)
| (3.0454706268499228438e-05 + 1.5049809950109819477e-1318j)  +/-  (1.19e-161, 1.3e-406j)
| (8.6454907186673846845e-21 + 7.7716285985356662913e-1326j)  +/-  (9.44e-178, 1.03e-422j)
| (8.9982832346881697201e-32 + 1.6392780128658957748e-1332j)  +/-  (2.78e-182, 3.03e-427j)
| (0.079743427443176874807 + 3.3317969765905679694e-1317j)  +/-  (1.21e-146, 1.32e-391j)
| (1.3154949752476273204e-07 - 1.3937215616410868412e-1319j)  +/-  (1.37e-167, 1.49e-412j)
| (2.1184583543021426184e-14 - 1.0024118732089918244e-1323j)  +/-  (8.52e-175, 9.29e-420j)
| (0.012284408266341455132 - 2.0515915499084217219e-1317j)  +/-  (3e-154, 3.27e-399j)
| (0.00173489547251937336 - 8.8383929225342531002e-1318j)  +/-  (2.48e-158, 2.7e-403j)
| (5.0097873222301576214e-19 + 4.5094905611215549927e-1326j)  +/-  (4.88e-178, 5.32e-423j)
| (3.0454706268499228438e-05 + 4.9104157706104893399e-1319j)  +/-  (9.01e-167, 9.83e-412j)
| (0.0049620035010653761616 + 1.392642190449677982e-1317j)  +/-  (4.77e-157, 5.21e-402j)
| (1.0536749276780730894e-24 + 5.0401022045819292151e-1328j)  +/-  (1.56e-180, 1.7e-425j)
| (1.2379634588812327328e-10 + 7.3594165741474404633e-1321j)  +/-  (9.32e-174, 1.02e-418j)
| (4.6786221816617042317e-13 + 8.9329282842514405351e-1322j)  +/-  (7.42e-176, 8.09e-421j)
| (0.11255122072638000526 - 4.1243289826260359229e-1317j)  +/-  (5.85e-157, 6.38e-402j)
| (1.3154949752476273204e-07 - 2.9480407329868561231e-1320j)  +/-  (1.02e-173, 1.11e-418j)
| (5.0097873222301576214e-19 - 8.9575361585156292308e-1325j)  +/-  (5.86e-179, 6.39e-424j)
| (5.8252907808314466583e-06 - 7.2818925816618130596e-1319j)  +/-  (3.11e-168, 3.39e-413j)
| (0.00052390129317170602702 + 2.1716952256251601559e-1318j)  +/-  (3.56e-169, 3.89e-414j)
| (0.026373650040150891165 + 2.8264833949796004401e-1317j)  +/-  (4.04e-161, 4.4e-406j)
| (9.5010500445627182694e-07 + 8.1597160021128059814e-1320j)  +/-  (7.29e-173, 7.94e-418j)
| (2.2242443273405897391e-17 + 1.2041449720879570934e-1323j)  +/-  (1.78e-178, 1.94e-423j)
| (0.11255122072638000526 - 4.9547382296129675317e-1317j)  +/-  (3.33e-162, 3.63e-407j)
| (7.0002857333261164786e-27 + 4.8141415710917740173e-1330j)  +/-  (2.94e-185, 3.21e-430j)
| (1.5108862302615560401e-09 - 2.9839011490006670415e-1321j)  +/-  (9.36e-177, 1.02e-421j)
| (1.5384227353622535092e-08 + 9.7947673242353463972e-1321j)  +/-  (9.36e-176, 1.02e-420j)
| (0.026373650040150891165 + 1.7729770260748156701e-1317j)  +/-  (3.34e-168, 3.64e-413j)
| (8.399387928387989415e-12 - 2.5400845484959406688e-1321j)  +/-  (9.32e-178, 1.02e-422j)
| (0.00013629259181354018395 - 1.0722142827102262591e-1318j)  +/-  (8.28e-173, 9.02e-418j)
| (1.5384227353622535092e-08 + 5.5317981333905792608e-1320j)  +/-  (1.62e-175, 1.77e-420j)
| (1.117811123398304753e-22 + 6.4010027278936166511e-1328j)  +/-  (5.48e-185, 5.97e-430j)
| (0.049178111955549652978 - 2.5150689667600346569e-1317j)  +/-  (6.4e-170, 6.97e-415j)
| (1.2379634588812327328e-10 + 8.3072575264045645678e-1322j)  +/-  (1.78e-178, 1.94e-423j)
| (0.079743427443176874807 + 4.3918847587837444515e-1317j)  +/-  (5.47e-171, 5.97e-416j)
| (0.13836559740266985819 + 4.7729393030243784709e-1317j)  +/-  (2.84e-171, 3.1e-416j)
| (7.7086045968649114023e-16 + 1.8626924546477380392e-1324j)  +/-  (8.07e-182, 8.8e-427j)
| (8.6454907186673846845e-21 - 5.77448782804818569e-1327j)  +/-  (2.13e-184, 2.32e-429j)
| (0.00173489547251937336 - 4.086445686803021429e-1318j)  +/-  (5.72e-176, 6.24e-421j)
| (7.0002857333261164786e-27 - 3.3825173551042619019e-1329j)  +/-  (7.05e-189, 7.69e-434j)
| (2.1184583543021426184e-14 - 3.7748633728664131418e-1322j)  +/-  (6.38e-183, 6.95e-428j)
| (0.0049620035010653761616 + 7.153419465171358719e-1318j)  +/-  (3.88e-177, 4.23e-422j)
| (1.5108862302615560401e-09 - 2.0688835240370358776e-1320j)  +/-  (1.79e-180, 1.95e-425j)
| (0.012284408266341455132 - 1.1663202653832780405e-1317j)  +/-  (5.24e-177, 5.71e-422j)
| (0.14821822525562159381 - 5.1658108942141480365e-1317j)  +/-  (7.02e-177, 7.57e-422j)
| (0.13836559740266985819 + 5.2302976210834278506e-1317j)  +/-  (5.67e-177, 6.25e-422j)
