Starting with polynomial:
P : 4096*t^12 - 11264*t^10 + 11520*t^8 - 5376*t^6 + 1120*t^4 - 84*t^2 + 1
Extension levels are: 12 26
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P1 : 4096*t^12 - 11264*t^10 + 11520*t^8 - 5376*t^6 + 1120*t^4 - 84*t^2 + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4096*t^38 - 37888*t^36 + 161280*t^34 - 418880*t^32 + 742016*t^30 - 949344*t^28 + 906192*t^26 - 2629575/4*t^24 + 5852925/16*t^22 - 10015005/64*t^20 + 6561555/128*t^18 - 13037895/1024*t^16 + 2414425/1024*t^14 - 1300075/4096*t^12 + 245157/8192*t^10 - 245157/131072*t^8 + 74613/1048576*t^6 - 5985/4194304*t^4 + 95/8388608*t^2 - 1/67108864
-------------------------------------------------
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:   38 out of 38
Indefinite weights: 0 out of 38
Negative weights:   0 out of 38
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-0.99675730813420998559 - 1.90875491390531129e-901j)  +/-  (1.22e-243, 1.22e-243j)
| (-0.98705026263791286379 + 2.6547587142040510034e-902j)  +/-  (4.02e-243, 4.02e-243j)
| (-0.91997944365882420313 + 8.9219384477353385136e-904j)  +/-  (4.28e-243, 4.28e-243j)
| (0.97094181742605202716 + 7.0618119394259484097e-903j)  +/-  (6.68e-243, 6.68e-243j)
| (0.84519008554379475254 + 1.1293284757933284467e-916j)  +/-  (7.85e-244, 7.85e-244j)
| (0.91997944365882420313 + 1.3360230140688004813e-931j)  +/-  (4.41e-243, 4.41e-243j)
| (-0.79944276340350114978 + 1.784612322453110471e-945j)  +/-  (2.8e-244, 2.8e-244j)
| (-0.8854560256532098959 + 1.0305893694428684102e-944j)  +/-  (2.29e-243, 2.29e-243j)
| (-0.97094181742605202716 - 8.0297977117584975494e-944j)  +/-  (5.61e-243, 5.61e-243j)
| (0.99675730813420998559 - 1.1917373870755298854e-942j)  +/-  (1.41e-243, 1.41e-243j)
| (0.8854560256532098959 - 4.0092853968661753832e-959j)  +/-  (2.24e-243, 2.24e-243j)
| (0.98705026263791286379 - 3.9846720414218999999e-978j)  +/-  (3.98e-243, 3.98e-243j)
| (-0.94853644194714552616 + 6.127239967370555703e-998j)  +/-  (5.01e-243, 5.01e-243j)
| (-0.84519008554379475254 - 1.3356449270925554781e-1006j)  +/-  (1.01e-243, 1.01e-243j)
| (0.94853644194714552616 - 1.4814551886408015511e-1006j)  +/-  (6.12e-243, 6.12e-243j)
| (0.74851074817110109863 - 2.0750342810734167099e-1018j)  +/-  (7.65e-245, 7.65e-245j)
| (0.79944276340350114978 - 6.3745006253036093559e-1020j)  +/-  (2.85e-244, 2.85e-244j)
| (-0.27821746391645263455 - 6.1428968018884611919e-1035j)  +/-  (1.69e-251, 1.69e-251j)
| (-0.74851074817110109863 + 2.6961938367644819698e-1028j)  +/-  (1.02e-244, 1.02e-244j)
| (-0.35460488704253562597 - 1.523039816350978634e-1032j)  +/-  (3.17e-250, 3.17e-250j)
| (0.27821746391645263455 + 1.1772077363668365223e-1030j)  +/-  (1.76e-251, 1.76e-251j)
| (0.6927243535095993926 + 9.4004060525873215396e-1029j)  +/-  (1.49e-245, 1.49e-245j)
| (0.20002569377604442753 + 4.3801304437303443014e-1034j)  +/-  (9.34e-253, 9.34e-253j)
| (-0.56806474673115580251 - 2.5581938761139351946e-1030j)  +/-  (3.13e-247, 3.13e-247j)
| (-0.6927243535095993926 - 3.1458283088310616233e-1031j)  +/-  (1.5e-245, 1.5e-245j)
| (-0.040265940109415143362 + 8.5426166531517858697e-1040j)  +/-  (2.28e-255, 2.28e-255j)
| (0.63244537559537723782 - 6.0622721145035116555e-1033j)  +/-  (2.8e-246, 2.8e-246j)
| (0.35460488704253562597 - 3.3218496681746645339e-1037j)  +/-  (2.66e-250, 2.66e-250j)
| (-0.12053668025532305335 - 6.8456360165473229699e-1043j)  +/-  (5.24e-254, 5.24e-254j)
| (-0.63244537559537723782 + 4.2856220025555289672e-1037j)  +/-  (2.32e-246, 2.32e-246j)
| (-0.20002569377604442753 + 4.5510215392234139703e-1042j)  +/-  (1.35e-252, 1.35e-252j)
| (0.42869256140305418307 + 1.048782108494804118e-1036j)  +/-  (3.35e-249, 3.35e-249j)
| (0.56806474673115580251 - 9.4965965232779137897e-1038j)  +/-  (3.66e-247, 3.66e-247j)
| (0.040265940109415143362 - 1.4060159596472211374e-1042j)  +/-  (4.18e-255, 4.18e-255j)
| (-0.42869256140305418307 + 8.0755617321995899784e-1039j)  +/-  (3.39e-249, 3.39e-249j)
| (-0.5 + 2.6025788751378461635e-1039j)  +/-  (3.96e-248, 3.96e-248j)
| (0.12053668025532305335 + 6.6938520732989381731e-1046j)  +/-  (5.24e-254, 5.24e-254j)
| (0.5 + 2.3681470537663199329e-1039j)  +/-  (4.39e-248, 4.39e-248j)
-------------------------------------------------
The weights are:
| (0.00016602227387291200268 - 6.8648419933833886673e-903j)  +/-  (1.44e-78, 1.88e-196j)
| (0.00065978920580582658763 + 1.3988068800455495363e-902j)  +/-  (1.07e-78, 1.4e-196j)
| (0.0039394313652615462487 - 1.1306721639458242853e-902j)  +/-  (1.87e-79, 2.45e-197j)
| (0.0014685124916255141551 - 1.0204547378324391145e-904j)  +/-  (1.02e-80, 1.33e-198j)
| (0.0073244543409864848324 + 4.5011646333656113804e-904j)  +/-  (3.96e-81, 5.19e-199j)
| (0.0039394313652615462487 - 1.0065070269485924807e-904j)  +/-  (3.95e-81, 5.18e-199j)
| (0.0092536222574813764801 + 1.015568251289490309e-902j)  +/-  (1.3e-80, 1.7e-198j)
| (0.0055376314521646691986 + 1.0779592174099387119e-902j)  +/-  (4.92e-80, 6.46e-198j)
| (0.0014685124916255141551 - 1.3298496385189754558e-902j)  +/-  (9.6e-80, 1.26e-197j)
| (0.00016602227387291200268 + 6.345608526645933724e-905j)  +/-  (2.65e-82, 3.47e-200j)
| (0.0055376314521646691986 - 1.7989275266896402966e-904j)  +/-  (4.01e-82, 5.26e-200j)
| (0.00065978920580582658763 - 3.6129313687784652295e-904j)  +/-  (4.73e-82, 6.21e-200j)
| (0.0025712466230320365412 + 1.202115042330107985e-902j)  +/-  (2.14e-81, 2.81e-199j)
| (0.0073244543409864848324 - 1.0478853295652484862e-902j)  +/-  (2.38e-82, 3.12e-200j)
| (0.0025712466230320365412 + 5.2408204897800833282e-904j)  +/-  (2.1e-82, 2.75e-200j)
| (0.011275170765957396752 + 1.0416075454189979355e-903j)  +/-  (3.42e-85, 4.5e-203j)
| (0.0092536222574813764801 - 7.3502057303467443205e-904j)  +/-  (2.24e-84, 2.94e-202j)
| (0.023656283147997368622 + 7.0035049188527544493e-903j)  +/-  (3e-88, 3.93e-206j)
| (0.011275170765957396752 - 9.8192840772773408365e-903j)  +/-  (3.15e-86, 4.14e-204j)
| (0.022416804463732065367 - 7.449414482086832726e-903j)  +/-  (2.64e-88, 3.46e-206j)
| (0.023656283147997368622 - 3.7791421150354109679e-903j)  +/-  (1.51e-89, 1.98e-207j)
| (0.013336742821915578761 - 1.3716494596204323018e-903j)  +/-  (6.57e-88, 8.63e-206j)
| (0.024615121072549028245 + 4.2312763391288182652e-903j)  +/-  (1.02e-89, 1.34e-207j)
| (0.017366729321058149051 + 8.7092077120314917225e-903j)  +/-  (1.78e-89, 2.33e-207j)
| (0.013336742821915578761 + 9.4669413934129231522e-903j)  +/-  (1.53e-88, 2.01e-206j)
| (0.025599452668387307508 - 5.6216397653503800818e-903j)  +/-  (5.3e-91, 6.95e-209j)
| (0.015384944792000569584 + 1.7248728855275325663e-903j)  +/-  (3.45e-90, 4.53e-208j)
| (0.022416804463732065367 + 3.3373291128781939015e-903j)  +/-  (6.99e-91, 9.17e-209j)
| (0.02526848483879553881 + 6.0869456431414235593e-903j)  +/-  (3.95e-91, 5.18e-209j)
| (0.015384944792000569584 - 9.0969988549798221019e-903j)  +/-  (1.47e-90, 1.93e-208j)
| (0.024615121072549028245 - 6.5484772080392103012e-903j)  +/-  (3.68e-91, 4.82e-209j)
| (0.020928786866607400485 - 2.9085242009810761408e-903j)  +/-  (2.97e-92, 3.89e-210j)
| (0.017366729321058149051 - 2.1000222848253507834e-903j)  +/-  (3.02e-92, 3.97e-210j)
| (0.025599452668387307508 + 5.1553632951512921385e-903j)  +/-  (1.7e-92, 2.23e-210j)
| (0.020928786866607400485 + 7.8837575878670334225e-903j)  +/-  (8.22e-93, 1.08e-210j)
| (0.019230769230769230769 - 8.3043185877344641591e-903j)  +/-  (7.93e-93, 1.04e-210j)
| (0.02526848483879553881 - 4.69095890300055386e-903j)  +/-  (2.81e-93, 3.71e-211j)
| (0.019230769230769230769 + 2.4952909499319780023e-903j)  +/-  (1.72e-93, 2.2e-211j)
