Starting with polynomial:
P : 2097152*t^22 - 11534336*t^20 + 27394048*t^18 - 36765696*t^16 + 30638080*t^14 - 16400384*t^12 + 5637632*t^10 - 1208064*t^8 + 151008*t^6 - 9680*t^4 + 242*t^2 - 1
Extension levels are: 22 23
-------------------------------------------------
Trying to find an order 23 Kronrod extension for:
P1 : 2097152*t^22 - 11534336*t^20 + 27394048*t^18 - 36765696*t^16 + 30638080*t^14 - 16400384*t^12 + 5637632*t^10 - 1208064*t^8 + 151008*t^6 - 9680*t^4 + 242*t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2097152*t^45 - 24117248*t^43 + 129499136*t^41 - 431226880*t^39 + 997548032*t^37 - 1701777408*t^35 + 2218266624*t^33 - 2258792448*t^31 + 1821649280*t^29 - 1172756288*t^27 + 604732128*t^25 - 249634320*t^23 + 657218445/8*t^21 - 342120975/16*t^19 + 34787385/8*t^17 - 21729825/32*t^15 + 162806535/2048*t^13 - 27638065/4096*t^11 + 3244725/8192*t^9 - 245663/16384*t^7 + 171787/524288*t^5 - 3553/1048576*t^3 + 11/1048576*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
Positive weights:   45 out of 45
Indefinite weights: 0 out of 45
Negative weights:   0 out of 45
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.28173255684142969771 - 4.8477699096241783458e-946j)  +/-  (8.56e-251, 8.56e-251j)
| (0.98982144188093273238 + 1.7517847516089672235e-932j)  +/-  (2.78e-239, 2.78e-239j)
| (-0.90963199535451837141 - 1.8324929786720413491e-948j)  +/-  (2.57e-240, 2.57e-240j)
| (1 + 4.1744311702682002533e-946j)  +/-  (2.25e-239, 2.25e-239j)
| (0.90963199535451837141 - 1.0781195030910646211e-959j)  +/-  (2.45e-240, 2.45e-240j)
| (0.93694972499976173582 + 1.1001537697055421955e-959j)  +/-  (7.49e-240, 7.49e-240j)
| (-0.99745211461025354136 - 4.107436021333610221e-965j)  +/-  (4.53e-239, 4.53e-239j)
| (-0.87767898956725561521 + 2.5640700569469760332e-985j)  +/-  (9.71e-241, 9.71e-241j)
| (-0.98982144188093273238 + 2.7464323575684922711e-990j)  +/-  (3.74e-239, 3.74e-239j)
| (-1 + 5.0020092739592432238e-1000j)  +/-  (2.63e-239, 2.63e-239j)
| (0.87767898956725561521 - 4.4239545358489195134e-1010j)  +/-  (8.89e-241, 8.89e-241j)
| (-0.21256528955297667388 + 1.7096305755028840148e-1028j)  +/-  (5.35e-252, 5.35e-252j)
| (-0.93694972499976173582 + 2.098324724968384694e-1013j)  +/-  (6.08e-240, 6.08e-240j)
| (-0.84125353283118116886 + 1.7610055430650238473e-1019j)  +/-  (2.67e-241, 2.67e-241j)
| (0.99745211461025354136 - 1.3547292321064258352e-1014j)  +/-  (4.68e-239, 4.68e-239j)
| (0.84125353283118116886 + 5.4347161661126148714e-1032j)  +/-  (2.61e-241, 2.61e-241j)
| (0.80054124092436040397 + 4.1531012171641720052e-1034j)  +/-  (5.85e-242, 5.85e-242j)
| (-0.97714686597115951949 + 2.6367552111430349857e-1029j)  +/-  (2.32e-239, 2.32e-239j)
| (-0.75574957435425828377 + 1.8665671044001017234e-1034j)  +/-  (1.13e-242, 1.13e-242j)
| (-0.95949297361449738989 - 2.6301689875494729564e-1030j)  +/-  (1.44e-239, 1.44e-239j)
| (0.97714686597115951949 - 8.2908018890620877574e-1033j)  +/-  (2.13e-239, 2.13e-239j)
| (0.7071067811865475244 - 3.2632785581757745982e-1044j)  +/-  (2.37e-243, 2.37e-243j)
| (0.21256528955297667388 - 5.0477126661405044598e-1055j)  +/-  (5.26e-252, 5.26e-252j)
| (-0.80054124092436040397 - 9.3185354983158448789e-1044j)  +/-  (6.65e-242, 6.65e-242j)
| (-0.7071067811865475244 - 2.9141205499474330652e-1045j)  +/-  (2.89e-243, 2.89e-243j)
| (0.14231483827328514044 + 2.2845196257988708762e-1057j)  +/-  (2.9e-253, 2.9e-253j)
| (0.75574957435425828377 - 8.9959925042321866568e-1046j)  +/-  (1.31e-242, 1.31e-242j)
| (0.95949297361449738989 + 1.5932432037904292147e-1052j)  +/-  (1.24e-239, 1.24e-239j)
| (-0.4792489867200568312 + 1.1435160682491098968e-1069j)  +/-  (3.67e-247, 3.67e-247j)
| (-0.65486073394528506406 + 2.4743363167155055617e-1067j)  +/-  (3.15e-244, 3.15e-244j)
| (-0.28173255684142969771 + 3.9599694976662440086e-1074j)  +/-  (7.94e-251, 7.94e-251j)
| (0.4792489867200568312 + 7.3429126247408716092e-1070j)  +/-  (4.28e-247, 4.28e-247j)
| (0.65486073394528506406 + 1.0283326103163097514e-1067j)  +/-  (3.14e-244, 3.14e-244j)
| (2.6288077898697485279e-1086 + 4.7607476087912412713e-1087j)  +/-  (1.2e-1084, 1.2e-1084j)
| (-0.59927766651134693453 + 2.0035646727001106643e-1070j)  +/-  (3.5e-245, 3.5e-245j)
| (-0.41541501300188642553 - 1.1928966807798080177e-1073j)  +/-  (2.67e-248, 2.67e-248j)
| (0.071339183199232340327 - 1.2668441696392065931e-1078j)  +/-  (1.22e-254, 1.22e-254j)
| (0.59927766651134693453 - 1.6384974630336833558e-1069j)  +/-  (3.44e-245, 3.44e-245j)
| (0.41541501300188642553 + 4.0183158490066846464e-1073j)  +/-  (2.86e-248, 2.86e-248j)
| (-0.34946417959909833671 + 7.3194840913537503512e-1076j)  +/-  (1.8e-249, 1.8e-249j)
| (-0.54064081745559758211 - 3.9102360376999754794e-1073j)  +/-  (5.03e-246, 5.03e-246j)
| (-0.14231483827328514044 - 1.0651831837165403563e-1078j)  +/-  (3.09e-253, 3.09e-253j)
| (0.34946417959909833671 - 2.2343368388275470989e-1074j)  +/-  (1.94e-249, 1.94e-249j)
| (0.54064081745559758211 + 6.7656114119353073175e-1073j)  +/-  (4.75e-246, 4.75e-246j)
| (-0.071339183199232340327 + 5.916520695840625048e-1082j)  +/-  (1.22e-254, 1.22e-254j)
-------------------------------------------------
The weights are:
| (0.022727272727272727273 - 5.6226401304229840129e-934j)  +/-  (2.21e-72, 4.93e-187j)
| (0.022727272727272727273 + 9.7286943628031317648e-933j)  +/-  (1.06e-72, 2.36e-187j)
| (0.022727272727272727273 - 2.0960392620753002577e-934j)  +/-  (4.2e-74, 9.36e-189j)
| (0.011363636363636363636 + 1.9557431093657119282e-932j)  +/-  (6.46e-73, 1.44e-187j)
| (0.022727272727272727273 - 4.9649039286212327125e-933j)  +/-  (2.03e-73, 4.53e-188j)
| (0.022727272727272727273 + 7.5301677641329157784e-933j)  +/-  (2.55e-73, 5.69e-188j)
| (0.022727272727272727273 + 2.0034126494185262381e-934j)  +/-  (1.99e-75, 4.44e-190j)
| (0.022727272727272727273 + 2.1319025762377017116e-934j)  +/-  (1.66e-75, 3.69e-190j)
| (0.022727272727272727273 - 2.0111349443813646056e-934j)  +/-  (7.52e-76, 1.68e-190j)
| (0.011363636363636363636 - 1.0004236805202797105e-934j)  +/-  (1.23e-75, 2.74e-190j)
| (0.022727272727272727273 + 3.5502424806916834975e-933j)  +/-  (3.65e-77, 8.14e-192j)
| (0.022727272727272727273 + 3.3111883862701591681e-934j)  +/-  (4.33e-79, 9.66e-194j)
| (0.022727272727272727273 + 2.0663216521839748777e-934j)  +/-  (1.04e-76, 2.32e-191j)
| (0.022727272727272727273 - 2.1743123771080706972e-934j)  +/-  (9.31e-78, 2.08e-192j)
| (0.022727272727272727273 - 5.2175333973254489568e-932j)  +/-  (1.33e-76, 2.98e-191j)
| (0.022727272727272727273 - 2.6798041423577850739e-933j)  +/-  (4.34e-78, 9.68e-193j)
| (0.022727272727272727273 + 2.1034048784865042487e-933j)  +/-  (9.11e-79, 2.03e-193j)
| (0.022727272727272727273 + 2.0240941173459721388e-934j)  +/-  (2.97e-77, 6.62e-192j)
| (0.022727272727272727273 - 2.2808175341477810398e-934j)  +/-  (9.56e-81, 2.13e-195j)
| (0.022727272727272727273 - 2.0424252492471805993e-934j)  +/-  (1.5e-77, 3.34e-192j)
| (0.022727272727272727273 + 3.1411930539305624788e-932j)  +/-  (2.68e-79, 5.97e-194j)
| (0.022727272727272727273 + 1.4082499192475398012e-933j)  +/-  (2.65e-82, 5.92e-197j)
| (0.022727272727272727273 + 5.1222868664389057095e-934j)  +/-  (2.7e-83, 6.01e-198j)
| (0.022727272727272727273 + 2.2237555659343299358e-934j)  +/-  (1.61e-80, 3.59e-195j)
| (0.022727272727272727273 + 2.3461976333521430677e-934j)  +/-  (3.64e-82, 8.11e-197j)
| (0.022727272727272727273 - 4.6976967070005839249e-934j)  +/-  (4.54e-84, 1.01e-198j)
| (0.022727272727272727273 - 1.7009002504224095121e-933j)  +/-  (2.05e-82, 4.57e-197j)
| (0.022727272727272727273 - 1.312736583316244268e-932j)  +/-  (9.68e-81, 2.16e-195j)
| (0.022727272727272727273 + 2.7101008252686790841e-934j)  +/-  (3.19e-85, 7.11e-200j)
| (0.022727272727272727273 - 2.4207284783939033806e-934j)  +/-  (1.13e-83, 2.53e-198j)
| (0.022727272727272727273 - 3.1310734620233937238e-934j)  +/-  (6.89e-86, 1.54e-200j)
| (0.022727272727272727273 + 7.7977747148059033118e-934j)  +/-  (4.08e-86, 9.1e-201j)
| (0.022727272727272727273 - 1.1885958223179272596e-933j)  +/-  (5.91e-85, 1.32e-199j)
| (0.022727272727272727273 - 4.0222698887625217975e-934j)  +/-  (1.23e-86, 2.75e-201j)
| (0.022727272727272727273 + 2.5054000470476326895e-934j)  +/-  (2e-85, 4.46e-200j)
| (0.022727272727272727273 - 2.8332092916429086705e-934j)  +/-  (1.64e-86, 3.65e-201j)
| (0.022727272727272727273 + 4.3346825083409824988e-934j)  +/-  (1.38e-86, 3.08e-201j)
| (0.022727272727272727273 + 1.019432194806336992e-933j)  +/-  (7.25e-87, 1.62e-201j)
| (0.022727272727272727273 - 6.9312054683990883228e-934j)  +/-  (2.02e-87, 4.49e-202j)
| (0.022727272727272727273 + 2.972725845088671773e-934j)  +/-  (2.99e-87, 6.64e-202j)
| (0.022727272727272727273 - 2.6013898458726484359e-934j)  +/-  (6.72e-87, 1.49e-201j)
| (0.022727272727272727273 - 3.5166517059120664397e-934j)  +/-  (3.07e-88, 6.87e-203j)
| (0.022727272727272727273 + 6.2173558659171440397e-934j)  +/-  (1.24e-88, 2.91e-203j)
| (0.022727272727272727273 - 8.8635367699203812146e-934j)  +/-  (1.13e-88, 2.75e-203j)
| (0.022727272727272727273 + 3.7518627122340371211e-934j)  +/-  (1.15e-88, 2.43e-203j)
