Starting with polynomial:
P : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Extension levels are: 7 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 429/16*t^7 - 693/16*t^5 + 315/16*t^3 - 35/16*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 429/16*t^53 - 497358798350424908828226205924038373588938096455279/1392216927491724944003352357446270251538189444912*t^51 + 327194656212913383799399550094596930985379678180504533/145706492648278686902666640146416231325457353221448*t^49 - 18297696487623419705472728178730870762920689878510344847169/2066430293951123806037461528647924480690682677294178600*t^47 + 590163907500237533503215305009775041734493243988465319925078/24022252167181814245185490270532122088029186123544826225*t^45 - 96506073580832861293259597509779551532522625406831708359122/1892662291959779304166129536466167194814420724885349945*t^43 + 2700703794591859301296902958060031042027850988898444784975351/32867696387203972306494737316192952261167501368740711240*t^41 - 20079065699465624831431616178566823852703880825495275761935455/190632639045783039377669476433919123114771507938696125192*t^39 + 4212212860353897748500016584883042694729399683464942828643011/38589603045705068699933092395530186865338361930910146800*t^37 - 296106350108222153248772131270168511675852624112134010951649761/3202937052793520702094446668829005509823084040265542184400*t^35 + 92874466340957230128384161220592550463694283095363764447126577/1441321673757084315942501000973052479420387818119493982980*t^33 - 1408297698915622756593713786213653150063647999471320445019828429/37954804075603220319819193025623715291403545877146674885140*t^31 + 223852976632152204726443058373406568831672069944891860799717/12665674330012198104500286882855522344183608190371526658*t^29 - 33041577798594303688943253194797311058240700680906829210633387/4749627873754574289187607581070820879068853071389322496750*t^27 + 637136884985299551718479569503470579482759980658582229572292217/282514902416660974386492510192582901177206593801898219621500*t^25 - 480410346313682796793552454922578143183203150135146548926525927/802342322863317167257638728946935439343266726397390943725060*t^23 + 113021670977037134118064609631153254755389558133684189349050031/875282534032709637008333158851202297465381883342608302245520*t^21 - 87444186110735387422731393039229738654711341592734553908894139/3909595318679436378637221442868703595345372412263650416696656*t^19 + 102510725286147609494580815585082736108879742729742588430407619/33437328383442547975186762340324438644401211420675957511221400*t^17 - 10902705387532248631752538220072065720159610627003959851386243/33437328383442547975186762340324438644401211420675957511221400*t^15 + 832815176265220066405840805914774905924010912497863234863779/31765461964270420576427424223308216712181150849642159635660330*t^13 - 593666867868161013745826167222076901094780269318102424159/385815327501260168944462642388358907435398593315491817437170*t^11 + 1238080545216305081867312122282242653813241459581705208648023/19721953585078416812035463568551175286719731133663984527026281192*t^9 - 5540063536849463783796737258915185044731173604165459674393099/3341775468582731737594897993560060256916398886537508489301675424200*t^7 + 169310667468326343351876426943305505544247363930250670711031/6683550937165463475189795987120120513832797773075016978603350848400*t^5 - 8089518484463856892709832714013988119266975342906963279203/44111436185292058936252653514992795391296465302295112058782115599440*t^3 + 365209129699223673062347438715834152500383700021073174/918988253860251227838596948229016570652009693797814834557960741655*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:
| (-0.97926804762290628805 + 5.6349687763516944135e-875j)  +/-  (2.26e-236, 2.26e-236j)
| (0.99578622164257325157 + 1.2011975733902740145e-881j)  +/-  (2.04e-236, 2.04e-236j)
| (-0.94910791234275852453 + 4.9210559798534164141e-892j)  +/-  (1.03e-236, 1.03e-236j)
| (-0.99922980310880762556 - 3.6251855663740742211e-891j)  +/-  (7.4e-237, 7.4e-237j)
| (0.96589964414193507946 - 5.9220795560257866918e-893j)  +/-  (1.66e-236, 1.66e-236j)
| (0.92893581812780978774 - 1.6421726072259567219e-906j)  +/-  (5.06e-237, 5.06e-237j)
| (-0.9892068248842597406 - 3.0724125260836233566e-911j)  +/-  (2.63e-236, 2.63e-236j)
| (-0.87872467137552887135 - 5.8542081187862135514e-913j)  +/-  (8.12e-238, 8.12e-238j)
| (-0.99578622164257325157 + 4.9391621513791303925e-912j)  +/-  (2e-236, 2e-236j)
| (0.99922980310880762556 + 2.7415888342779606451e-909j)  +/-  (7.36e-237, 7.36e-237j)
| (0.87872467137552887135 - 1.5925114197406336324e-922j)  +/-  (7.59e-238, 7.59e-238j)
| (0.94910791234275852453 + 1.3605063043540547662e-938j)  +/-  (9.67e-237, 9.67e-237j)
| (-0.92893581812780978774 + 2.7400858183044612585e-957j)  +/-  (5.06e-237, 5.06e-237j)
| (-0.84885986332950034662 + 1.0041450547208999247e-960j)  +/-  (2.54e-238, 2.54e-238j)
| (0.97926804762290628805 - 3.305608726638526306e-955j)  +/-  (2.27e-236, 2.27e-236j)
| (0.90544792852686475006 - 1.2092448182253923709e-967j)  +/-  (2.06e-237, 2.06e-237j)
| (0.84885986332950034662 + 4.4364723422572289714e-972j)  +/-  (2.52e-238, 2.52e-238j)
| (-0.96589964414193507946 + 3.724742414239804493e-976j)  +/-  (1.63e-236, 1.63e-236j)
| (-0.74153118559939443986 + 8.1573934454032051823e-979j)  +/-  (3.78e-240, 3.78e-240j)
| (-0.90544792852686475006 + 1.3710168277407556758e-976j)  +/-  (2.14e-237, 2.14e-237j)
| (0.81595942993114102612 + 3.7447814404838151259e-975j)  +/-  (7.42e-239, 7.42e-239j)
| (0.78014058408954629057 - 1.768872176791830722e-979j)  +/-  (1.79e-239, 1.79e-239j)
| (0.9892068248842597406 - 1.2712526590631462193e-983j)  +/-  (2.47e-236, 2.47e-236j)
| (-0.81595942993114102612 + 1.6603826236447658751e-995j)  +/-  (7.02e-239, 7.02e-239j)
| (-0.78014058408954629057 - 5.6047028482549606527e-1000j)  +/-  (1.63e-239, 1.63e-239j)
| (0.29410973989288452854 - 4.228925909982045853e-1010j)  +/-  (3.68e-249, 3.68e-249j)
| (0.74153118559939443986 - 3.2250112663194197895e-1001j)  +/-  (3.41e-240, 3.41e-240j)
| (0.70026916917185830928 + 3.3769659497894338416e-1003j)  +/-  (6.28e-241, 6.28e-241j)
| (-0.40584515137739716691 + 1.4177741521647143903e-1008j)  +/-  (1.02e-246, 1.02e-246j)
| (-0.61038608075005898237 - 4.1858389447250388148e-1004j)  +/-  (1.34e-242, 1.34e-242j)
| (-0.70026916917185830928 - 2.4116324226235750321e-1002j)  +/-  (7.03e-241, 7.03e-241j)
| (0.65650199231085992828 - 1.4418922816152743761e-1005j)  +/-  (1e-241, 1e-241j)
| (0.45963266211036751021 - 1.5688344018006941992e-1011j)  +/-  (1.26e-245, 1.26e-245j)
| (0.11913321609243148322 + 2.0053117958581164049e-1017j)  +/-  (4.37e-253, 4.37e-253j)
| (-0.65650199231085992828 + 5.0361396268964795713e-1007j)  +/-  (1.09e-241, 1.09e-241j)
| (-0.45963266211036751021 - 4.8086572747520170692e-1013j)  +/-  (1.35e-245, 1.35e-245j)
| (0.059673455694931269713 - 4.0037265707775804695e-1021j)  +/-  (1.76e-254, 1.76e-254j)
| (0.56208626068936942579 + 4.1269979477970122276e-1009j)  +/-  (1.56e-243, 1.56e-243j)
| (0.35060498230371059528 + 3.4349667300792889549e-1014j)  +/-  (6.72e-248, 6.72e-248j)
| (-0.11913321609243148322 + 8.0039815656335161617e-1020j)  +/-  (4.99e-253, 4.99e-253j)
| (-0.56208626068936942579 - 2.3532206814321017672e-1010j)  +/-  (1.54e-243, 1.54e-243j)
| (-0.17816636694744912322 + 3.2973713838035539361e-1018j)  +/-  (1.04e-251, 1.04e-251j)
| (0.40584515137739716691 - 1.9390581707887193581e-1012j)  +/-  (9.17e-247, 9.17e-247j)
| (0.61038608075005898237 + 2.940536174232194469e-1011j)  +/-  (1.24e-242, 1.24e-242j)
| (3.0410129353392832917e-1030 + 3.1567438826548534581e-1029j)  +/-  (1.68e-1027, 1.68e-1027j)
| (-0.51177517236857447879 - 3.6836370057772659172e-1014j)  +/-  (1.51e-244, 1.51e-244j)
| (-0.29410973989288452854 + 4.3246386815926294552e-1019j)  +/-  (3.62e-249, 3.62e-249j)
| (0.17816636694744912322 - 2.5857479323616453459e-1021j)  +/-  (1.04e-251, 1.04e-251j)
| (0.51177517236857447879 - 2.9941392946935155173e-1015j)  +/-  (1.58e-244, 1.58e-244j)
| (0.23656155175711493063 - 1.9155172447055195319e-1021j)  +/-  (1.8e-250, 1.8e-250j)
| (-0.23656155175711493063 - 1.122361540921441582e-1020j)  +/-  (1.84e-250, 1.84e-250j)
| (-0.35060498230371059528 - 2.0016306662147491261e-1018j)  +/-  (6.53e-248, 6.53e-248j)
| (-0.059673455694931269713 - 2.5370402088383627902e-1025j)  +/-  (1.76e-254, 1.76e-254j)
-------------------------------------------------
The weights are:
| (0.011650229637211595332 + 4.0576308058526082863e-876j)  +/-  (1.18e-54, 5.72e-167j)
| (0.0049574636138990276423 + 1.5322886733792869298e-877j)  +/-  (2.42e-56, 1.17e-168j)
| (0.018491154559841565159 + 2.9787654967381724141e-875j)  +/-  (5.96e-55, 2.88e-167j)
| (0.0019981523994904915778 + 4.9330431452440901587e-876j)  +/-  (2.19e-55, 1.06e-167j)
| (0.015084931561958256769 - 4.0495319655927877159e-877j)  +/-  (5.98e-57, 2.89e-169j)
| (0.021842189012479065973 - 5.2106165986622032006e-877j)  +/-  (4.48e-57, 2.17e-169j)
| (0.008237600805851949382 + 4.9966300838019570874e-875j)  +/-  (1.55e-55, 7.51e-168j)
| (0.028310709902792539688 - 1.1488162693401365484e-875j)  +/-  (6.57e-58, 3.18e-170j)
| (0.0049574636138990276423 - 1.8321885455579323217e-875j)  +/-  (1.77e-55, 8.58e-168j)
| (0.0019981523994904915778 - 4.9776820847908046535e-878j)  +/-  (1.69e-58, 8.18e-171j)
| (0.028310709902792539688 - 6.2166824294242679717e-877j)  +/-  (1.19e-59, 5.73e-172j)
| (0.018491154559841565159 + 4.6588031696679088754e-877j)  +/-  (1.05e-58, 5.1e-171j)
| (0.021842189012479065973 - 1.9754687263793308494e-875j)  +/-  (1.6e-58, 7.74e-171j)
| (0.03140123880767673995 + 9.3844025788855448548e-876j)  +/-  (7.2e-60, 3.48e-172j)
| (0.011650229637211595332 + 3.3518477821623783781e-877j)  +/-  (7.56e-59, 3.66e-171j)
| (0.025120148425688430391 + 5.7253476121092199578e-877j)  +/-  (1.02e-59, 4.92e-172j)
| (0.03140123880767673995 + 6.6942795116027098932e-877j)  +/-  (3.42e-61, 1.65e-173j)
| (0.015084931561958256769 - 5.8923413131633418388e-875j)  +/-  (2.68e-59, 1.3e-171j)
| (0.039959508484213774659 - 5.8701400970950107549e-876j)  +/-  (6.48e-64, 3.13e-176j)
| (0.025120148425688430391 + 1.4617557461757925864e-875j)  +/-  (7.14e-61, 3.45e-173j)
| (0.034380082064445884432 - 7.165355494169280278e-877j)  +/-  (1.01e-62, 4.87e-175j)
| (0.037236290223478981836 + 7.6356249783857626946e-877j)  +/-  (9.74e-64, 4.71e-176j)
| (0.008237600805851949382 - 2.5226367201565050341e-877j)  +/-  (1.81e-60, 8.75e-173j)
| (0.034380082064445884432 - 7.8767846369044843469e-876j)  +/-  (2.03e-63, 9.81e-176j)
| (0.037236290223478981836 + 6.7465358756808787047e-876j)  +/-  (3.71e-64, 1.8e-176j)
| (0.057055746030597882031 + 1.3225865513233029113e-876j)  +/-  (1.12e-69, 5.44e-182j)
| (0.039959508484213774659 - 8.1098761466132743171e-877j)  +/-  (6e-66, 2.9e-178j)
| (0.042539938900946265301 + 8.5923408457744484115e-877j)  +/-  (5.09e-67, 2.46e-179j)
| (0.054546356807835868008 + 2.8692678217296220726e-876j)  +/-  (1.47e-70, 7.11e-183j)
| (0.047236007906149524055 + 4.1359343863088096171e-876j)  +/-  (3.56e-69, 1.72e-181j)
| (0.042539938900946265301 + 5.1724838396900500427e-876j)  +/-  (1.06e-67, 5.14e-180j)
| (0.044968334414771128196 - 9.0869465559467782316e-877j)  +/-  (6.56e-69, 3.17e-181j)
| (0.052996596336984927451 - 1.1263921306185639899e-876j)  +/-  (2.01e-71, 9.74e-184j)
| (0.059281837297994393468 - 1.5638481436316380371e-876j)  +/-  (4.57e-73, 2.21e-185j)
| (0.044968334414771128196 - 4.6052452590500362581e-876j)  +/-  (2.15e-69, 1.04e-181j)
| (0.052996596336984927451 - 3.1190469767345301045e-876j)  +/-  (5.09e-72, 2.46e-184j)
| (0.059602184834616330268 + 1.6579358910217061827e-876j)  +/-  (1.04e-73, 5.04e-186j)
| (0.049334848712608548022 - 1.0127826222358547564e-876j)  +/-  (3.23e-72, 1.56e-184j)
| (0.055901038830899770216 - 1.2530586336921596645e-876j)  +/-  (3.56e-73, 1.72e-185j)
| (0.059281837297994393468 - 1.9970507843492932062e-876j)  +/-  (4.12e-75, 1.99e-187j)
| (0.049334848712608548022 - 3.7419127978095300986e-876j)  +/-  (6.37e-73, 3.08e-185j)
| (0.058749225516755480268 + 2.1342767871614364382e-876j)  +/-  (2.6e-75, 1.26e-187j)
| (0.054546356807835868008 + 1.1878474899968894384e-876j)  +/-  (4.74e-74, 2.29e-186j)
| (0.047236007906149524055 + 9.5974993225498272948e-877j)  +/-  (3.14e-73, 1.52e-185j)
| (0.059709097644347000639 - 1.7605855881522334667e-876j)  +/-  (1.14e-75, 5.49e-188j)
| (0.051257343027373283756 + 3.4069343986498696594e-876j)  +/-  (1.21e-74, 5.87e-187j)
| (0.057055746030597882031 + 2.4580491002955991473e-876j)  +/-  (2.1e-76, 1.02e-188j)
| (0.058749225516755480268 + 1.4772089485417761786e-876j)  +/-  (3.12e-76, 1.51e-188j)
| (0.051257343027373283756 + 1.0681894852111167309e-876j)  +/-  (1.71e-75, 8.25e-188j)
| (0.05800629306126479585 - 1.3970635415213866747e-876j)  +/-  (2.34e-76, 1.13e-188j)
| (0.05800629306126479585 - 2.2870293302224564051e-876j)  +/-  (4.33e-77, 2.09e-189j)
| (0.055901038830899770216 - 2.6507194339023862045e-876j)  +/-  (4.27e-77, 2.06e-189j)
| (0.059602184834616330268 + 1.873106369915721727e-876j)  +/-  (4.04e-77, 1.95e-189j)
