Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^48 - 7459734234330112617264109679/3436139140032642325238902*t^46 + 3709201209326357296998440210805/6872278280065284650477804*t^44 - 101995711968423931017464171664855/1249505141830051754632328*t^42 + 21021527940258214601889450580947825/2499010283660103509264656*t^40 - 3133802705172855776154079160921555355/4998020567320207018529312*t^38 + 350122946220132890385437172324053459505/9996041134640414037058624*t^36 - 29976180793576156109833926266411821492425/19992082269280828074117248*t^34 + 1994445911967242189959117805034075568011675/39984164538561656148234496*t^32 - 51992156906074355034844513288637054906558625/39984164538561656148234496*t^30 + 2132641817683734583000476780477245196013939275/79968329077123312296468992*t^28 - 68851834378392974991855646730521661305272238275/159936658154246624592937984*t^26 + 1744663397750477103561812891224244742442303513125/319873316308493249185875968*t^24 - 34491287198444297930923058203471821505480119856875/639746632616986498371751936*t^22 + 527043468828994698672730466358015451443747786140625/1279493265233972996743503872*t^20 - 6143088852526340765479585983210780741929598865475625/2558986530467945993487007744*t^18 + 53648434142654284263062604191291560133279627705938125/5117973060935891986974015488*t^16 - 685462321878006140558494128255953356543870111916690625/20471892243743567947896061952*t^14 + 3101760203316932779682005089170300692274206069191346875/40943784487487135895792123904*t^12 - 9511390461642477790438971805740873056845116164406421875/81887568974974271791584247808*t^10 + 18558552330414070173671280718371315450396727935886003125/163775137949948543583168495616*t^8 - 20955301496176753758473166498434222030522592669143409375/327550275899897087166336991232*t^6 + 11703999921682782240034971844800015995806510061662828125/655100551799794174332673982464*t^4 - 2379207202901870895467682968711707984478034221454703125/1310201103599588348665347964928*t^2 + 71049876455415521288593451978149404549185713436484375/2620402207199176697330695929856
-------------------------------------------------
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:
| (7.1609141488520188968 - 1.0859275543924876598e-961j)  +/-  (1.95e-244, 1.95e-244j)
| (5.4663322483924190833 - 1.0434443828903983488e-985j)  +/-  (1.02e-243, 1.02e-243j)
| (5.8614639233914047988 + 8.8380259103090358294e-1019j)  +/-  (9.06e-244, 9.06e-244j)
| (-7.6558159973010769476 + 2.0438016972291049435e-1043j)  +/-  (5.74e-245, 5.74e-245j)
| (6.2723858697601360088 - 7.8049953703881157215e-1041j)  +/-  (7.53e-244, 7.53e-244j)
| (6.7033743260440061968 - 2.3345103098962342704e-1053j)  +/-  (4.54e-244, 4.54e-244j)
| (8.2090750765007319142 - 1.418839584880290077e-1061j)  +/-  (9.88e-246, 9.88e-246j)
| (-8.8757410656253897692 - 2.6692792236818276867e-1062j)  +/-  (6.44e-247, 6.44e-247j)
| (8.8757410656253897692 + 1.7318847278426271416e-1063j)  +/-  (6.35e-247, 6.35e-247j)
| (-5.4663322483924190833 - 1.3899921402966257e-1058j)  +/-  (9.58e-244, 9.58e-244j)
| (7.6558159973010769476 + 1.0701322183723762407e-1060j)  +/-  (5.48e-245, 5.48e-245j)
| (-2.9630593202961530722 - 6.4861040752304235488e-1064j)  +/-  (4.03e-246, 4.03e-246j)
| (-3.3015508602752061848 + 2.4595578203842598175e-1063j)  +/-  (1.46e-245, 1.46e-245j)
| (-5.0839816487916746689 - 1.5838533019472795505e-1061j)  +/-  (7.74e-244, 7.74e-244j)
| (-4.7121915962351609187 - 1.1627222664637226796e-1062j)  +/-  (5.29e-244, 5.29e-244j)
| (1.6485829664676494255 + 3.1464990969377587348e-1068j)  +/-  (3.65e-249, 3.65e-249j)
| (-8.2090750765007319142 + 5.4533505155897612544e-1065j)  +/-  (8.78e-246, 8.78e-246j)
| (-3.9938618794226374291 - 1.4266728845683897772e-1062j)  +/-  (1.26e-244, 1.26e-244j)
| (-1.3291762227421019898 - 5.3131856504270543585e-1070j)  +/-  (3.77e-250, 3.77e-250j)
| (-3.6449148083673382328 + 1.3382697317301112629e-1063j)  +/-  (5.19e-245, 5.19e-245j)
| (-6.7033743260440061968 - 2.0047074078157029185e-1063j)  +/-  (4.32e-244, 4.32e-244j)
| (5.0839816487916746689 + 3.7697853612844484077e-1062j)  +/-  (7.88e-244, 7.88e-244j)
| (4.3492635308245630158 + 7.1701705372248183883e-1066j)  +/-  (2.76e-244, 2.76e-244j)
| (2.2985435251527284168 + 1.2638219843504886688e-1073j)  +/-  (1.72e-247, 1.72e-247j)
| (-4.3492635308245630158 - 1.4497078605366798019e-1069j)  +/-  (2.65e-244, 2.65e-244j)
| (3.9938618794226374291 - 2.6425053261224622406e-1070j)  +/-  (1.18e-244, 1.18e-244j)
| (1.3291762227421019898 - 2.4747293207970162842e-1081j)  +/-  (3.89e-250, 3.89e-250j)
| (-0.13372509059964964381 - 1.0947470536156498041e-1083j)  +/-  (2.35e-254, 2.35e-254j)
| (-2.6288687920486085177 + 2.1045383253052407629e-1076j)  +/-  (8.65e-247, 8.65e-247j)
| (-0.41166587540214342935 + 2.4022871447312907054e-1083j)  +/-  (2.79e-253, 2.79e-253j)
| (-5.8614639233914047988 + 5.8680357489938180682e-1073j)  +/-  (9.83e-244, 9.83e-244j)
| (0.7071067811865475244 - 1.4793228679232624963e-1084j)  +/-  (3.27e-252, 3.27e-252j)
| (-7.1609141488520188968 - 6.1757014432068744436e-1075j)  +/-  (1.81e-244, 1.81e-244j)
| (2.6288687920486085177 + 9.1507672494981394703e-1078j)  +/-  (9.25e-247, 9.25e-247j)
| (-1.6485829664676494255 - 1.2064256627418065263e-1080j)  +/-  (3.16e-249, 3.16e-249j)
| (-2.2985435251527284168 - 2.0404667815721990847e-1079j)  +/-  (1.69e-247, 1.69e-247j)
| (4.7121915962351609187 + 2.8729205276566449105e-1076j)  +/-  (5.36e-244, 5.36e-244j)
| (1.0145600910065283632 + 1.8867683638556212265e-1088j)  +/-  (3.92e-251, 3.92e-251j)
| (3.3015508602752061848 - 5.9259175039674115011e-1082j)  +/-  (1.43e-245, 1.43e-245j)
| (0.13372509059964964381 - 5.8242050561555198295e-1092j)  +/-  (2.05e-254, 2.05e-254j)
| (-6.2723858697601360088 - 2.8456513326686345412e-1082j)  +/-  (7.85e-244, 7.85e-244j)
| (3.6449148083673382328 + 1.2292047605736308959e-1086j)  +/-  (4.96e-245, 4.96e-245j)
| (0.41166587540214342935 + 1.8379672100760276145e-1097j)  +/-  (3.21e-253, 3.21e-253j)
| (1.9718031819473964311 + 2.0154909037636122478e-1091j)  +/-  (2.69e-248, 2.69e-248j)
| (-1.9718031819473964311 - 2.5124765328572644325e-1093j)  +/-  (2.7e-248, 2.7e-248j)
| (-1.0145600910065283632 + 1.625653002566529962e-1095j)  +/-  (3.56e-251, 3.56e-251j)
| (-0.7071067811865475244 + 1.1118758261258013114e-1096j)  +/-  (3.28e-252, 3.28e-252j)
| (2.9630593202961530722 + 4.4929654237773674343e-1094j)  +/-  (3.8e-246, 3.8e-246j)
-------------------------------------------------
The weights are:
| (1.4356149998029667938e-23 + 1.1380164318840405346e-983j)  +/-  (1.53e-72, 1.67e-193j)
| (2.3096686469180029399e-14 + 4.8243079505393712266e-980j)  +/-  (1.77e-67, 1.93e-188j)
| (2.7238048546640198374e-16 - 6.3754687808526066168e-981j)  +/-  (6.43e-69, 7.03e-190j)
| (1.0281762610128662841e-26 + 2.6346960155916721571e-987j)  +/-  (5.03e-78, 5.5e-199j)
| (1.9427090017485167873e-18 + 7.3623991535907319511e-982j)  +/-  (1.4e-70, 1.53e-191j)
| (7.6319268005737572873e-21 - 8.3890223011075647583e-983j)  +/-  (3.76e-72, 4.11e-193j)
| (1.8169278607434139348e-30 - 4.6187666795375361587e-988j)  +/-  (5.48e-78, 5.99e-199j)
| (2.6564897592790024985e-35 + 1.0679455496213881532e-991j)  +/-  (4e-84, 4.37e-205j)
| (2.6564897592790024985e-35 + 9.9871738655343027914e-991j)  +/-  (2.39e-80, 2.62e-201j)
| (2.3096686469180029399e-14 - 6.4742420303221312722e-981j)  +/-  (6.73e-76, 7.36e-197j)
| (1.0281762610128662841e-26 + 7.887943842300045124e-986j)  +/-  (2.76e-76, 3.02e-197j)
| (2.9181801165902870135e-05 + 5.2353046466035567022e-976j)  +/-  (2.15e-66, 2.35e-187j)
| (3.548449143419857118e-06 - 1.5903571062162836472e-976j)  +/-  (3.46e-68, 3.78e-189j)
| (1.265686025234843126e-12 + 5.3100470550128068774e-980j)  +/-  (2.65e-75, 2.89e-196j)
| (4.7078366041524138983e-11 - 3.6001820030257701096e-979j)  +/-  (2.25e-74, 2.46e-195j)
| (0.011971249936250365318 - 3.3821528919813278022e-974j)  +/-  (8.71e-62, 9.52e-183j)
| (1.8169278607434139348e-30 - 3.149781497199404252e-989j)  +/-  (1.13e-84, 1.24e-205j)
| (2.3473780464602749045e-08 - 1.0070425324875186957e-977j)  +/-  (1.09e-72, 1.19e-193j)
| (0.030589002805696879971 - 4.2452618679710271778e-974j)  +/-  (1.71e-61, 1.87e-182j)
| (3.317068825324949979e-07 + 4.2743314160986520528e-977j)  +/-  (1.86e-71, 2.04e-192j)
| (7.6319268005737572873e-21 + 2.7684881082294470014e-984j)  +/-  (1.26e-81, 1.38e-202j)
| (1.265686025234843126e-12 - 3.1306252305901823107e-979j)  +/-  (7.68e-78, 8.4e-199j)
| (1.2340264450429676988e-09 - 8.4236788835542740035e-978j)  +/-  (2.86e-77, 3.12e-198j)
| (0.00094070367632892967178 - 7.8953589635479494257e-975j)  +/-  (8.13e-72, 8.88e-193j)
| (1.2340264450429676988e-09 + 2.0576955975953014165e-978j)  +/-  (1.35e-75, 1.47e-196j)
| (2.3473780464602749045e-08 + 3.5469366922917010043e-977j)  +/-  (6.99e-77, 7.64e-198j)
| (0.030589002805696879971 + 6.1804315226145428087e-974j)  +/-  (1.85e-67, 2.02e-188j)
| (0.14941687330191921144 - 2.8265877669249352031e-973j)  +/-  (5.24e-67, 5.73e-188j)
| (0.0001868241103863975536 - 1.5374072710169519567e-975j)  +/-  (2.41e-72, 2.63e-193j)
| (0.13678672067545236343 + 2.1313810993984268179e-973j)  +/-  (2.72e-67, 2.98e-188j)
| (2.7238048546640198374e-16 + 6.3618213960123491302e-982j)  +/-  (7.34e-81, 8.02e-202j)
| (0.10351482270350992059 + 1.6583352270079555099e-973j)  +/-  (4.6e-69, 5.03e-190j)
| (1.4356149998029667938e-23 - 1.0885299372253539331e-985j)  +/-  (1.64e-84, 1.79e-205j)
| (0.0001868241103863975536 + 3.3209913604294089339e-975j)  +/-  (1.75e-75, 1.91e-196j)
| (0.011971249936250365318 + 2.1163009200195002232e-974j)  +/-  (9.71e-72, 1.06e-192j)
| (0.00094070367632892967178 + 4.0583892661643046379e-975j)  +/-  (3.84e-73, 4.2e-194j)
| (4.7078366041524138983e-11 + 1.7456179989768296863e-978j)  +/-  (1.14e-79, 1.25e-200j)
| (0.062804434518638002873 - 1.0492617306469779173e-973j)  +/-  (1.45e-71, 1.58e-192j)
| (3.548449143419857118e-06 + 4.3113473212159179913e-976j)  +/-  (3.29e-78, 3.6e-199j)
| (0.14941687330191921144 + 2.9341658332289892736e-973j)  +/-  (1.66e-72, 1.79e-193j)
| (1.9427090017485167873e-18 - 4.8697638263597391252e-983j)  +/-  (8.08e-84, 8.77e-205j)
| (3.317068825324949979e-07 - 1.3136434258393307808e-976j)  +/-  (1.15e-78, 1.24e-199j)
| (0.13678672067545236343 - 2.3913854230061417214e-973j)  +/-  (1.26e-73, 1.32e-194j)
| (0.0037562815584517411968 + 1.7075173799199773009e-974j)  +/-  (7.76e-76, 8.13e-197j)
| (0.0037562815584517411968 - 9.7019286170629940566e-975j)  +/-  (3.93e-76, 4.06e-197j)
| (0.062804434518638002873 + 7.8883914335660829815e-974j)  +/-  (1.56e-75, 1.62e-196j)
| (0.10351482270350992059 - 1.3602627905148029123e-973j)  +/-  (2.86e-75, 2.87e-196j)
| (2.9181801165902870135e-05 - 1.2625992920140161752e-975j)  +/-  (3.87e-78, 4.51e-199j)
