Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^48 - 7459734234330112617264109679/6872278280065284650477804*t^46 + 3709201209326357296998440210805/6872278280065284650477804*t^44 - 101995711968423931017464171664855/624752570915025877316164*t^42 + 21021527940258214601889450580947825/624752570915025877316164*t^40 - 3133802705172855776154079160921555355/624752570915025877316164*t^38 + 350122946220132890385437172324053459505/624752570915025877316164*t^36 - 29976180793576156109833926266411821492425/624752570915025877316164*t^34 + 1994445911967242189959117805034075568011675/624752570915025877316164*t^32 - 51992156906074355034844513288637054906558625/312376285457512938658082*t^30 + 2132641817683734583000476780477245196013939275/312376285457512938658082*t^28 - 68851834378392974991855646730521661305272238275/312376285457512938658082*t^26 + 1744663397750477103561812891224244742442303513125/312376285457512938658082*t^24 - 34491287198444297930923058203471821505480119856875/312376285457512938658082*t^22 + 527043468828994698672730466358015451443747786140625/312376285457512938658082*t^20 - 6143088852526340765479585983210780741929598865475625/312376285457512938658082*t^18 + 53648434142654284263062604191291560133279627705938125/312376285457512938658082*t^16 - 685462321878006140558494128255953356543870111916690625/624752570915025877316164*t^14 + 3101760203316932779682005089170300692274206069191346875/624752570915025877316164*t^12 - 9511390461642477790438971805740873056845116164406421875/624752570915025877316164*t^10 + 18558552330414070173671280718371315450396727935886003125/624752570915025877316164*t^8 - 20955301496176753758473166498434222030522592669143409375/624752570915025877316164*t^6 + 11703999921682782240034971844800015995806510061662828125/624752570915025877316164*t^4 - 2379207202901870895467682968711707984478034221454703125/624752570915025877316164*t^2 + 71049876455415521288593451978149404549185713436484375/624752570915025877316164
-------------------------------------------------
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:   48 out of 48
Indefinite weights: 0 out of 48
Negative weights:   0 out of 48
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (4.6690980034657559182 + 4.9499132202588450689e-650j)  +/-  (2.16e-245, 2.16e-245j)
| (-12.552193391119253269 + 2.8294941188234111468e-653j)  +/-  (1.1e-246, 1.1e-246j)
| (12.552193391119253269 + 4.5499157448780635413e-672j)  +/-  (9.7e-247, 9.7e-247j)
| (-9.4800028855550391436 + 4.0407436021400485901e-693j)  +/-  (6.5e-244, 6.5e-244j)
| (10.82695881441608546 + 1.5840581060222518123e-710j)  +/-  (8.24e-245, 8.24e-245j)
| (5.6481736361243926749 - 1.4872623010872746276e-726j)  +/-  (1.74e-244, 1.74e-244j)
| (-8.2893617758207368693 - 3.673153207064193561e-740j)  +/-  (1.5e-243, 1.5e-243j)
| (-1.87973904098572253 - 3.4981126420369728362e-760j)  +/-  (5.67e-250, 5.67e-250j)
| (-4.1903986768788242928 + 3.7184460493157231649e-755j)  +/-  (5.66e-246, 5.66e-246j)
| (8.8704931654521461428 + 1.0851436790096200121e-756j)  +/-  (1.02e-243, 1.02e-243j)
| (3.7177818994145178593 + 1.5595663105726889626e-768j)  +/-  (1.22e-246, 1.22e-246j)
| (-7.7305612021139732626 + 6.1006406138173326021e-766j)  +/-  (1.42e-243, 1.42e-243j)
| (8.2893617758207368693 + 4.1612917040457599036e-781j)  +/-  (1.38e-243, 1.38e-243j)
| (-4.6690980034657559182 - 4.4813950963562042662e-782j)  +/-  (2.16e-245, 2.16e-245j)
| (10.127061908295913469 + 2.5532410744286556583e-782j)  +/-  (2.61e-244, 2.61e-244j)
| (1 + 1.4141164787743862776e-789j)  +/-  (3.81e-252, 3.81e-252j)
| (-10.127061908295913469 + 2.3713162573454964136e-780j)  +/-  (2.5e-244, 2.5e-244j)
| (-11.609385307726287842 - 4.6266069811935146205e-794j)  +/-  (1.34e-245, 1.34e-245j)
| (-1.4348046405439139885 + 1.722906677558235726e-812j)  +/-  (5.17e-251, 5.17e-251j)
| (-1 - 7.8178726131042143376e-814j)  +/-  (4.28e-252, 4.28e-252j)
| (11.609385307726287842 - 4.7577567997706906523e-805j)  +/-  (1.31e-245, 1.31e-245j)
| (6.1507874716267907489 - 3.5274122069617658543e-804j)  +/-  (3.91e-244, 3.91e-244j)
| (-7.1898357985771156108 - 3.913263718957127935e-806j)  +/-  (1.2e-243, 1.2e-243j)
| (-2.7885508022404316078 - 2.3057317348350007567e-822j)  +/-  (3.88e-248, 3.88e-248j)
| (5.154687955687620475 + 4.4709764831302691994e-819j)  +/-  (6.73e-245, 6.73e-245j)
| (-5.154687955687620475 - 3.6061970530909328041e-818j)  +/-  (6.55e-245, 6.55e-245j)
| (4.1903986768788242928 - 3.2474888549921960315e-831j)  +/-  (5.36e-246, 5.36e-246j)
| (3.250631426975851857 + 6.7583278145493414624e-835j)  +/-  (2.34e-247, 2.34e-247j)
| (-10.82695881441608546 - 5.4001381916524354685e-832j)  +/-  (7.82e-245, 7.82e-245j)
| (-3.7177818994145178593 - 1.5412035693938381754e-846j)  +/-  (1.22e-246, 1.22e-246j)
| (-8.8704931654521461428 - 1.5368811204967627763e-850j)  +/-  (1.04e-243, 1.04e-243j)
| (7.1898357985771156108 + 6.6841104595327734477e-864j)  +/-  (1.23e-243, 1.23e-243j)
| (0.58218346415990394153 - 3.4320556083341494422e-872j)  +/-  (3.96e-253, 3.96e-253j)
| (7.7305612021139732626 + 7.0826966846393735433e-863j)  +/-  (1.42e-243, 1.42e-243j)
| (-0.18911583675559540792 + 1.2586204533610001917e-890j)  +/-  (1.92e-254, 1.92e-254j)
| (-3.250631426975851857 - 8.4266762357611323246e-867j)  +/-  (2.2e-247, 2.2e-247j)
| (1.87973904098572253 + 8.6054580821698856246e-869j)  +/-  (5.7e-250, 5.7e-250j)
| (1.4348046405439139885 - 2.8681743563619211796e-870j)  +/-  (5.25e-251, 5.25e-251j)
| (6.664045263896288066 - 1.9796260614930451421e-863j)  +/-  (7.28e-244, 7.28e-244j)
| (9.4800028855550391436 - 8.780310576821984669e-864j)  +/-  (6.23e-244, 6.23e-244j)
| (-0.58218346415990394153 + 4.6342753268913684546e-872j)  +/-  (3.96e-253, 3.96e-253j)
| (-6.664045263896288066 - 2.8062451612416144169e-861j)  +/-  (8.22e-244, 8.22e-244j)
| (2.7885508022404316078 + 1.1063280426997943233e-876j)  +/-  (3.74e-248, 3.74e-248j)
| (2.3314483898758191941 - 1.0028413829374291283e-877j)  +/-  (4.51e-249, 4.51e-249j)
| (-6.1507874716267907489 - 1.5341178534398013638e-871j)  +/-  (4.07e-244, 4.07e-244j)
| (-2.3314483898758191941 - 2.2315571274502969819e-888j)  +/-  (4.87e-249, 4.87e-249j)
| (-5.6481736361243926749 - 1.1076984268597983905e-882j)  +/-  (1.74e-244, 1.74e-244j)
| (0.18911583675559540792 - 2.8068801199248196308e-906j)  +/-  (1.92e-254, 1.92e-254j)
-------------------------------------------------
The weights are:
| (3.548449143419857118e-06 - 4.4669943970123785765e-655j)  +/-  (5.25e-66, 5.73e-187j)
| (2.6564897592790024985e-35 - 1.0497954474745558078e-671j)  +/-  (1.21e-86, 1.33e-207j)
| (2.6564897592790024985e-35 - 2.2933673153293515683e-671j)  +/-  (9.59e-87, 1.05e-207j)
| (7.6319268005737572873e-21 - 2.8636431863872287776e-664j)  +/-  (1.78e-81, 1.94e-202j)
| (1.0281762610128662841e-26 - 6.6920706285023809362e-667j)  +/-  (6.72e-84, 7.33e-205j)
| (2.3473780464602749045e-08 + 1.2111555517254462333e-656j)  +/-  (1.1e-71, 1.2e-192j)
| (2.7238048546640198374e-16 - 6.7487895448537179994e-662j)  +/-  (1.93e-79, 2.11e-200j)
| (0.030589002805696879971 + 5.809785682125240432e-654j)  +/-  (5.18e-54, 5.65e-175j)
| (2.9181801165902870135e-05 - 6.3152624749590818034e-656j)  +/-  (4.93e-68, 5.39e-189j)
| (1.9427090017485167873e-18 + 1.6436319727339566595e-662j)  +/-  (6.18e-81, 6.75e-202j)
| (0.0001868241103863975536 - 1.6701083327836854391e-654j)  +/-  (1.06e-66, 1.15e-187j)
| (2.3096686469180029399e-14 + 6.959777165815988112e-661j)  +/-  (4.29e-79, 4.68e-200j)
| (2.7238048546640198374e-16 - 2.4156780658821261397e-661j)  +/-  (5.8e-80, 6.33e-201j)
| (3.548449143419857118e-06 + 1.8809323892315410938e-656j)  +/-  (9.02e-72, 9.85e-193j)
| (1.4356149998029667938e-23 + 3.0151969094444919499e-665j)  +/-  (1.41e-83, 1.54e-204j)
| (0.10351482270350992059 - 3.0791901635760844123e-653j)  +/-  (1.01e-51, 1.1e-172j)
| (1.4356149998029667938e-23 + 1.112236958497705774e-665j)  +/-  (1.29e-84, 1.4e-205j)
| (1.8169278607434139348e-30 + 3.139406477461166687e-669j)  +/-  (9.96e-88, 1.09e-208j)
| (0.062804434518638002873 - 1.1153246667355961521e-653j)  +/-  (1.5e-58, 1.64e-179j)
| (0.10351482270350992059 + 1.9928832548954981467e-653j)  +/-  (6.49e-55, 7.08e-176j)
| (1.8169278607434139348e-30 + 7.3634957329543689176e-669j)  +/-  (3.12e-87, 3.41e-208j)
| (1.2340264450429676988e-09 - 1.6873821878545165002e-657j)  +/-  (2.29e-77, 2.5e-198j)
| (1.265686025234843126e-12 - 5.7878240034928003423e-660j)  +/-  (5.99e-80, 6.54e-201j)
| (0.0037562815584517411968 + 1.2541909455582986682e-654j)  +/-  (4.45e-69, 4.86e-190j)
| (3.317068825324949979e-07 - 1.0040702236165376014e-655j)  +/-  (3.14e-75, 3.43e-196j)
| (3.317068825324949979e-07 - 4.9631212848144169976e-657j)  +/-  (3.82e-76, 4.17e-197j)
| (2.9181801165902870135e-05 + 1.1687930988188715303e-654j)  +/-  (1.8e-73, 1.96e-194j)
| (0.00094070367632892967178 + 2.8569874335927720556e-654j)  +/-  (5.96e-72, 6.51e-193j)
| (1.0281762610128662841e-26 - 2.6593113300806414189e-667j)  +/-  (3.04e-87, 3.31e-208j)
| (0.0001868241103863975536 + 1.8943885817914817575e-655j)  +/-  (2.48e-74, 2.7e-195j)
| (1.9427090017485167873e-18 + 5.1002628751326545731e-663j)  +/-  (2.24e-83, 2.44e-204j)
| (1.265686025234843126e-12 - 2.7229100086652862425e-659j)  +/-  (4.28e-82, 4.68e-203j)
| (0.13678672067545236343 + 4.1688562823083006441e-653j)  +/-  (3.34e-68, 3.65e-189j)
| (2.3096686469180029399e-14 + 2.8188764457792240683e-660j)  +/-  (4.3e-83, 4.7e-204j)
| (0.14941687330191921144 + 4.480197555344953877e-653j)  +/-  (1e-69, 1.1e-190j)
| (0.00094070367632892967178 - 5.1170197411365919851e-655j)  +/-  (8.37e-76, 9.14e-197j)
| (0.030589002805696879971 - 1.3640173318387638079e-653j)  +/-  (5.01e-74, 5.47e-195j)
| (0.062804434518638002873 + 2.1048904407565713671e-653j)  +/-  (1.26e-72, 1.38e-193j)
| (4.7078366041524138983e-11 + 2.2618555791687874852e-658j)  +/-  (2.32e-81, 2.53e-202j)
| (7.6319268005737572873e-21 - 8.4221112966078235973e-664j)  +/-  (1.07e-86, 1.16e-207j)
| (0.13678672067545236343 - 3.2444955497968901155e-653j)  +/-  (6.64e-74, 7.25e-195j)
| (4.7078366041524138983e-11 + 3.9814925874510606146e-659j)  +/-  (6.77e-84, 7.39e-205j)
| (0.0037562815584517411968 - 4.9737202029153747744e-654j)  +/-  (1.2e-77, 1.31e-198j)
| (0.011971249936250365318 + 8.4189246097304553213e-654j)  +/-  (3.3e-77, 3.6e-198j)
| (1.2340264450429676988e-09 - 2.310723549026453004e-658j)  +/-  (1.17e-83, 1.28e-204j)
| (0.011971249936250365318 - 2.8112799708745454786e-654j)  +/-  (3.33e-79, 3.39e-200j)
| (2.3473780464602749045e-08 + 1.1493473560425880976e-657j)  +/-  (5.39e-83, 5.91e-204j)
| (0.14941687330191921144 - 4.8584474134829493602e-653j)  +/-  (1.27e-77, 1.15e-198j)
