Starting with polynomial:
P : t^14 - 91*t^12 + 3003*t^10 - 45045*t^8 + 315315*t^6 - 945945*t^4 + 945945*t^2 - 135135
Extension levels are: 14 27
-------------------------------------------------
Trying to find an order 27 Kronrod extension for:
P1 : t^14 - 91*t^12 + 3003*t^10 - 45045*t^8 + 315315*t^6 - 945945*t^4 + 945945*t^2 - 135135
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^41 - 4323994738212539/6845664706949*t^39 + 1228519320558843027/6845664706949*t^37 - 3540580200522975524265/116376300018133*t^35 + 400636132471695576726270/116376300018133*t^33 - 32071358662280840375182710/116376300018133*t^31 + 1878295059482117385353754510/116376300018133*t^29 - 82096140018504718491771916530/116376300018133*t^27 + 2707545681116873811578909645100/116376300018133*t^25 - 67682246916053926559654274523500/116376300018133*t^23 + 1281233972292943607401984279258500/116376300018133*t^21 - 18258809979211548880994249908018500/116376300018133*t^19 + 10196447405734954630911435984443250/6125068422007*t^17 - 4658753837512530382719609665898750/360298142471*t^15 + 25857379310690612805160944767613750/360298142471*t^13 - 99131995705762311497148515668346250/360298142471*t^11 + 250171989009815071109581148446093125/360298142471*t^9 - 387102673445832242270583356912641875/360298142471*t^7 + 328315813068551392733492615368471875/360298142471*t^5 - 124941691518537213865102901408690625/360298142471*t^3 + 13467889289545593399134664338812500/360298142471*t
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (-6.0874095469012913223 - 2.5617240495527326088e-969j)  +/-  (2.81e-245, 2.81e-245j)
| (10.544433150605928384 + 5.971625962700755293e-982j)  +/-  (3.37e-248, 3.37e-248j)
| (-7.9992910195774594152 + 4.8358590922086008759e-978j)  +/-  (4.98e-246, 4.98e-246j)
| (-10.544433150605928384 - 1.5713837079540314894e-984j)  +/-  (3.2e-248, 3.2e-248j)
| (-9.5553127097157909542 - 8.7744682573606835657e-983j)  +/-  (3.37e-247, 3.37e-247j)
| (9.5553127097157909542 + 1.3275062473759556053e-985j)  +/-  (3.59e-247, 3.59e-247j)
| (-2.5228606170135451984 + 3.7698321641042057846e-987j)  +/-  (9.85e-249, 9.85e-249j)
| (8.7338736864780060701 - 5.3396716650377528611e-985j)  +/-  (1.82e-246, 1.82e-246j)
| (-2.088344745701944171 - 1.2418810298505367553e-987j)  +/-  (1.34e-249, 1.34e-249j)
| (-8.7338736864780060701 - 1.0939514963516811815e-983j)  +/-  (1.75e-246, 1.75e-246j)
| (-7.3213531313404203788 - 4.0222477565982457768e-993j)  +/-  (1.02e-245, 1.02e-245j)
| (-5.2943157168537641422 - 1.8063115283584591511e-1005j)  +/-  (4.85e-245, 4.85e-245j)
| (2.088344745701944171 + 2.7952074288475848247e-1024j)  +/-  (1.37e-249, 1.37e-249j)
| (4.8969363973455646837 - 1.0973979526010219112e-1019j)  +/-  (1.69e-245, 1.69e-245j)
| (7.9992910195774594152 + 2.0288013560928592268e-1022j)  +/-  (5.28e-246, 5.28e-246j)
| (3.4142040127296503488 - 5.5485485430217248918e-1025j)  +/-  (2.63e-247, 2.63e-247j)
| (3.8869245750597693838 - 2.2349352614427833049e-1026j)  +/-  (9.79e-247, 9.79e-247j)
| (7.3213531313404203788 + 2.1094472226793719071e-1022j)  +/-  (1.06e-245, 1.06e-245j)
| (-4.3847820270431815261 - 5.9302847807659193262e-1026j)  +/-  (3.86e-246, 3.86e-246j)
| (4.3847820270431815261 + 1.0344093663425017929e-1032j)  +/-  (3.91e-246, 3.91e-246j)
| (-5.5550269218641198733 + 8.5580652101714019201e-1036j)  +/-  (4.99e-245, 4.99e-245j)
| (-6.6856848031412569308 + 5.0762963179389540002e-1050j)  +/-  (1.74e-245, 1.74e-245j)
| (6.0874095469012913223 - 3.0339166623134643511e-1055j)  +/-  (2.65e-245, 2.65e-245j)
| (6.6856848031412569308 + 3.1112870092446095473e-1059j)  +/-  (1.81e-245, 1.81e-245j)
| (-3.8869245750597693838 - 8.9524713437407783904e-1061j)  +/-  (1.01e-246, 1.01e-246j)
| (5.5550269218641198733 - 2.6688692540976776511e-1072j)  +/-  (5.35e-245, 5.35e-245j)
| (0.82700715940989755678 - 1.8452449188149120738e-1092j)  +/-  (1.46e-252, 1.46e-252j)
| (-4.8969363973455646837 - 2.1207541252611574961e-1086j)  +/-  (1.7e-245, 1.7e-245j)
| (0.41259045795460183817 + 7.195148668510727849e-1101j)  +/-  (1.01e-253, 1.01e-253j)
| (-1.242688955485464179 - 5.6029102295011436932e-1099j)  +/-  (1.94e-251, 1.94e-251j)
| (-1.1551320848151953683e-1121 - 2.3349838856099606363e-1121j)  +/-  (1.07e-1119, 1.07e-1119j)
| (5.2943157168537641422 + 1.9984121041410122084e-1095j)  +/-  (5.01e-245, 5.01e-245j)
| (1.242688955485464179 - 6.6799290129291969443e-1103j)  +/-  (1.9e-251, 1.9e-251j)
| (-3.4142040127296503488 + 4.3447328358703707357e-1098j)  +/-  (2.65e-247, 2.65e-247j)
| (-0.82700715940989755678 - 1.6109650605534567201e-1105j)  +/-  (1.53e-252, 1.53e-252j)
| (-2.9630365798386675025 + 1.0374649196683452895e-1101j)  +/-  (5.76e-248, 5.76e-248j)
| (2.5228606170135451984 - 7.8692036112504162831e-1101j)  +/-  (9.43e-249, 9.43e-249j)
| (1.6616326900980492884 + 5.4482559651849958564e-1103j)  +/-  (1.63e-250, 1.63e-250j)
| (2.9630365798386675025 - 1.466201998651475243e-1102j)  +/-  (5.86e-248, 5.86e-248j)
| (-1.6616326900980492884 + 1.5132379576076624659e-1104j)  +/-  (1.79e-250, 1.79e-250j)
| (-0.41259045795460183817 + 5.4183628834704539894e-1108j)  +/-  (1.2e-253, 1.2e-253j)
-------------------------------------------------
The weights are:
| (2.0689038316687092415e-09 - 2.8033513368507656577e-977j)  +/-  (1.48e-79, 2.6e-201j)
| (3.269820509389926013e-25 - 2.4161410551639310585e-989j)  +/-  (6.7e-90, 1.18e-211j)
| (3.5718028726100247966e-15 - 2.1263218583417355574e-982j)  +/-  (1.3e-84, 2.29e-206j)
| (3.269820509389926013e-25 + 9.0160792355986017245e-989j)  +/-  (5.24e-90, 9.21e-212j)
| (5.2554197145486167373e-21 - 3.2063053751445502526e-986j)  +/-  (3.82e-88, 6.71e-210j)
| (5.2554197145486167373e-21 + 7.1081979008336772433e-987j)  +/-  (2.88e-90, 5.06e-212j)
| (0.007238030857022844327 - 4.7798680393731321436e-974j)  +/-  (2.32e-70, 4.08e-192j)
| (8.3900651266785011498e-18 - 6.2630460916936973054e-985j)  +/-  (3.77e-89, 6.63e-211j)
| (0.019430394876430981819 + 8.941108168647229284e-974j)  +/-  (3.89e-68, 6.84e-190j)
| (8.3900651266785011498e-18 + 3.5075623603297441905e-984j)  +/-  (3.39e-87, 5.96e-209j)
| (5.9939938792923137311e-13 + 9.567687897931667691e-981j)  +/-  (6.51e-85, 1.14e-206j)
| (7.0822819107843971893e-08 - 4.2422258085945026345e-976j)  +/-  (1.72e-81, 3.02e-203j)
| (0.019430394876430981819 + 4.3734277818874540002e-974j)  +/-  (1.3e-72, 2.28e-194j)
| (1.2505274450453805353e-06 + 6.8206588417383823571e-977j)  +/-  (5.86e-84, 1.03e-205j)
| (3.5718028726100247966e-15 + 2.8858960610123359607e-983j)  +/-  (7.6e-90, 1.34e-211j)
| (0.00054055668149579663563 - 2.6693623810193203434e-975j)  +/-  (3.83e-80, 6.73e-202j)
| (0.00010151160749539194322 + 7.8322963740514446795e-976j)  +/-  (1.1e-81, 1.93e-203j)
| (5.9939938792923137311e-13 - 8.8046804796375361959e-982j)  +/-  (1.66e-89, 2.91e-211j)
| (1.3566412917383203087e-05 - 1.3187194815190008455e-975j)  +/-  (1.12e-83, 1.97e-205j)
| (1.3566412917383203087e-05 - 2.144047942962990259e-976j)  +/-  (1.52e-83, 2.67e-205j)
| (3.4974008312851278802e-08 + 2.0305079458086816299e-976j)  +/-  (2.88e-85, 5.06e-207j)
| (4.8428761766235849872e-11 - 4.416104983977001967e-979j)  +/-  (1.67e-87, 2.94e-209j)
| (2.0689038316687092415e-09 - 4.3532151575788280659e-979j)  +/-  (1.03e-88, 1.81e-210j)
| (4.8428761766235849872e-11 + 2.0684465867203091702e-980j)  +/-  (8.93e-90, 1.57e-211j)
| (0.00010151160749539194322 + 3.5502147015630841454e-975j)  +/-  (1.17e-85, 2.05e-207j)
| (3.4974008312851278802e-08 + 9.2850594742608905109e-978j)  +/-  (4.62e-88, 8.12e-210j)
| (0.11764715111045445879 - 2.1153783389430697879e-973j)  +/-  (2.2e-80, 3.88e-202j)
| (1.2505274450453805353e-06 + 6.2933360833724213788e-976j)  +/-  (7.36e-87, 1.29e-208j)
| (0.15149344925864834373 + 2.7398144379253776073e-973j)  +/-  (1.27e-80, 2.23e-202j)
| (0.076779169924355827276 + 2.173353661537514131e-973j)  +/-  (9.09e-82, 1.6e-203j)
| (0.16439696130490201543 - 3.1264065192645945096e-973j)  +/-  (8.29e-81, 1.46e-202j)
| (7.0822819107843971893e-08 - 2.956039648276618758e-977j)  +/-  (1.18e-87, 2.08e-209j)
| (0.076779169924355827276 + 1.4364460768276691103e-973j)  +/-  (6.41e-83, 1.13e-204j)
| (0.00054055668149579663563 - 9.4879534964948101568e-975j)  +/-  (6.43e-86, 1.13e-207j)
| (0.11764715111045445879 - 2.7805111186372443205e-973j)  +/-  (7.87e-83, 1.38e-204j)
| (0.0021967145964538458584 + 2.2726720376008884611e-974j)  +/-  (1.34e-85, 2.36e-207j)
| (0.007238030857022844327 - 1.9788082348773386627e-974j)  +/-  (4.96e-86, 8.73e-208j)
| (0.042359615580066079606 - 8.4974130184821244722e-974j)  +/-  (3.14e-85, 5.54e-207j)
| (0.0021967145964538458584 + 7.8456630511969764298e-975j)  +/-  (1.65e-86, 2.91e-208j)
| (0.042359615580066079606 - 1.4878023568661589692e-973j)  +/-  (1.29e-85, 2.19e-207j)
| (0.15149344925864834373 + 3.1382134973233139835e-973j)  +/-  (6.42e-85, 1.09e-206j)
