Starting with polynomial:
P : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Extension levels are: 9 28
-------------------------------------------------
Trying to find an order 28 Kronrod extension for:
P1 : 12155/128*t^9 - 6435/32*t^7 + 9009/64*t^5 - 1155/32*t^3 + 315/128*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 12155/128*t^37 - 6253798538414906122679116457000032045/7339327205962890753476248481066688*t^35 + 95067731403851125305967193538452065998389/27082117390003066880327356895136078720*t^33 - 100955828480734222925629869982622333613551/11472285838820743609027560906967366680*t^31 + 23757850949788493594400823140453141725608393447/1583863782907591862662345058815914643840800*t^29 - 830608648602881486884525220889101676228718750241/45140117812866368085876834176253567349462800*t^27 + 237248539527906362977337103020477191272614477891/14146475667849858944291885354381459853108000*t^25 - 3768385482118395981828140567455727964896773657/325984004520018488716291271209659727049880*t^23 + 4321972653228745051109331698123542704049884431/711237828043676702653726409911984859017920*t^21 - 289085496761826110108647760738289180018952253/118539638007279450442287734985330809836320*t^19 + 3091514850843378284353763042864839513729149/4159285544115068436571499473169502099520*t^17 - 1326040663931248163670622867339036880841773/7798660395215753318571561512192816436600*t^15 + 7683945869250866850062095059231348843725419/268273917595421914158861716019432885419040*t^13 - 56964295735121706289653492285693548486386987/16498845932118447720769995535195122453270960*t^11 + 9301108778065979705360372477875651905189660151/32568721870001815800799971186475171722756875040*t^9 - 13765198765279954070795615548934706696301493/904686718611161550022221421846532547854357640*t^7 + 4875544885400025087956772419636187808176521/10339276784127560571682530535388943404049801600*t^5 - 3129117385139638916222090958505563704405261/443554974039072348525180559968185672033736488640*t^3 + 9683742760613877026474740465158122784323/295703316026048232350120373312123781355824325760*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:
| (-0.9975167353559043767 - 1.8490013873153402278e-955j)  +/-  (9.58e-244, 9.58e-244j)
| (-0.98695953627897874091 + 6.5556956757318874379e-958j)  +/-  (2.9e-243, 2.9e-243j)
| (-0.90810136921068054389 + 7.0663264610393384942e-958j)  +/-  (2.93e-243, 2.93e-243j)
| (0.9975167353559043767 - 1.0261052477883018272e-955j)  +/-  (1.06e-243, 1.06e-243j)
| (0.90810136921068054389 + 4.004837127868266525e-976j)  +/-  (3.37e-243, 3.37e-243j)
| (0.94153764218116059068 - 2.7833988158966249535e-1004j)  +/-  (3.79e-243, 3.79e-243j)
| (0.088759139378282902859 - 3.0460487503152044648e-1025j)  +/-  (2.24e-254, 2.24e-254j)
| (-0.87092658172791717146 - 3.8719018036502120972e-1017j)  +/-  (2.35e-243, 2.35e-243j)
| (-0.96816023950762608984 - 3.1540067009632275063e-1021j)  +/-  (4.23e-243, 4.23e-243j)
| (0.96816023950762608984 - 2.9798750007883410928e-1030j)  +/-  (3.95e-243, 3.95e-243j)
| (0.87092658172791717146 - 9.5687326666568691089e-1054j)  +/-  (2.24e-243, 2.24e-243j)
| (0.98695953627897874091 + 2.3466603044584145967e-1062j)  +/-  (2.89e-243, 2.89e-243j)
| (-0.94153764218116059068 + 1.9207622306699955023e-1072j)  +/-  (4.02e-243, 4.02e-243j)
| (-0.8360311073266357943 - 2.2752040146141231734e-1074j)  +/-  (1.37e-243, 1.37e-243j)
| (0.32425342340380892904 - 2.2797466759708973034e-1080j)  +/-  (1.98e-250, 1.98e-250j)
| (0.8360311073266357943 - 2.3932241747754831785e-1074j)  +/-  (1.22e-243, 1.22e-243j)
| (0.7962251942155394918 + 5.8444822517692499479e-1077j)  +/-  (3.81e-244, 3.81e-244j)
| (-0.39164668312726321991 + 2.4899903378313801581e-1085j)  +/-  (1.68e-249, 1.68e-249j)
| (-0.7962251942155394918 + 3.3189822684865772227e-1079j)  +/-  (4.02e-244, 4.02e-244j)
| (-0.74341125409750139663 + 1.4465836975392506735e-1081j)  +/-  (7.45e-245, 7.45e-245j)
| (0.74341125409750139663 - 2.9619485141735648465e-1081j)  +/-  (6.52e-245, 6.52e-245j)
| (0.68156380270053036008 + 1.5653802019164765979e-1083j)  +/-  (9.69e-246, 9.69e-246j)
| (0.25486704925941614313 - 2.3661884197319647717e-1090j)  +/-  (1.62e-251, 1.62e-251j)
| (-0.68156380270053036008 + 1.1320970710773340198e-1083j)  +/-  (1.17e-245, 1.17e-245j)
| (-0.54054246064540718965 + 8.3637288271719418834e-1086j)  +/-  (1.4e-247, 1.4e-247j)
| (-3.3900869303347329679e-1096 + 9.8052600129040742319e-1096j)  +/-  (3.84e-1094, 3.84e-1094j)
| (0.61337143270059039731 - 3.6849354638353830496e-1086j)  +/-  (1.28e-246, 1.28e-246j)
| (0.39164668312726321991 + 1.0537838490145659782e-1090j)  +/-  (1.69e-249, 1.69e-249j)
| (-0.25486704925941614313 + 1.1382862059139893567e-1091j)  +/-  (1.45e-251, 1.45e-251j)
| (-0.61337143270059039731 - 8.7329633589802895924e-1089j)  +/-  (1.35e-246, 1.35e-246j)
| (-0.17504962631523811923 - 8.4340548898144452631e-1098j)  +/-  (6.08e-253, 6.08e-253j)
| (0.46524995272681206726 - 1.3593155564407492243e-1088j)  +/-  (1.57e-248, 1.57e-248j)
| (0.54054246064540718965 - 2.8259968713272299816e-1091j)  +/-  (1.33e-247, 1.33e-247j)
| (-0.088759139378282902859 - 5.0920531599570090201e-1101j)  +/-  (2.24e-254, 2.24e-254j)
| (-0.46524995272681206726 + 4.0507658059287195311e-1092j)  +/-  (1.58e-248, 1.58e-248j)
| (-0.32425342340380892904 + 1.4884719066910136533e-1094j)  +/-  (2.02e-250, 2.02e-250j)
| (0.17504962631523811923 - 4.5098060603225887274e-1098j)  +/-  (6e-253, 6e-253j)
-------------------------------------------------
The weights are:
| (0.0063679928220733613544 - 2.4650422893075836944e-955j)  +/-  (1.96e-79, 5.31e-199j)
| (0.014722505250332925038 + 4.2513691447651246345e-955j)  +/-  (1.34e-79, 3.62e-199j)
| (0.03614716602074795156 - 4.8513563261782776456e-955j)  +/-  (1.75e-80, 4.73e-200j)
| (0.0063679928220733613544 + 1.3651709309559297498e-955j)  +/-  (1.18e-80, 3.19e-200j)
| (0.03614716602074795156 + 2.5263895091441080329e-955j)  +/-  (5.61e-81, 1.52e-200j)
| (0.030285350350059859465 - 2.0165512250546634488e-955j)  +/-  (4.01e-81, 1.08e-200j)
| (0.088007690274844422367 + 6.6823368693025332759e-956j)  +/-  (2.66e-82, 7.19e-202j)
| (0.036841391897959501949 + 6.979532037626479054e-955j)  +/-  (4.04e-81, 1.09e-200j)
| (0.022810276666658225392 - 3.5306724495092727674e-955j)  +/-  (1.58e-80, 4.27e-200j)
| (0.022810276666658225392 + 1.9154561720343791371e-955j)  +/-  (1.54e-81, 4.16e-201j)
| (0.036841391897959501949 - 3.5310900337386329687e-955j)  +/-  (1.99e-82, 5.37e-202j)
| (0.014722505250332925038 - 2.3408753812761250051e-955j)  +/-  (1.08e-81, 2.93e-201j)
| (0.030285350350059859465 + 3.7858902627962318009e-955j)  +/-  (5.04e-82, 1.36e-201j)
| (0.034425744556755762667 - 8.067946329551567479e-955j)  +/-  (5.4e-83, 1.46e-202j)
| (0.06573707349175683077 + 2.3342447534030439406e-956j)  +/-  (1.97e-85, 5.32e-205j)
| (0.034425744556755762667 + 3.9549529319886745964e-955j)  +/-  (1.46e-83, 3.94e-203j)
| (0.046728682125289623192 - 3.013307082685956718e-955j)  +/-  (2.64e-84, 7.14e-204j)
| (0.070708909766323276284 + 3.6545601203508473592e-955j)  +/-  (2.67e-87, 7.21e-207j)
| (0.046728682125289623192 + 6.3932053754678136424e-955j)  +/-  (2.24e-85, 6.06e-205j)
| (0.057966963139239608461 - 4.2524286153878005441e-955j)  +/-  (3.02e-86, 8.16e-206j)
| (0.057966963139239608461 + 1.8886685155489983781e-955j)  +/-  (1.47e-86, 3.98e-206j)
| (0.065325295924885169386 - 1.3050532330778964341e-955j)  +/-  (1.74e-87, 4.69e-207j)
| (0.074719948784594220441 + 1.6841705498800024307e-956j)  +/-  (5.77e-89, 1.56e-208j)
| (0.065325295924885169386 + 3.1941668340584842702e-955j)  +/-  (1.48e-88, 4e-208j)
| (0.074526316497159291317 + 2.7517551285065356119e-955j)  +/-  (1.28e-89, 3.47e-209j)
| (0.089124177426404147491 - 9.0652353513750034477e-956j)  +/-  (2.28e-90, 6.16e-210j)
| (0.070794129547324471741 + 1.0097550093590546224e-955j)  +/-  (1.7e-89, 4.6e-209j)
| (0.070708909766323276284 - 5.6846179216810190637e-956j)  +/-  (4.84e-90, 1.31e-209j)
| (0.074719948784594220441 + 2.9072467252519907535e-955j)  +/-  (1.34e-91, 3.61e-211j)
| (0.070794129547324471741 - 2.7762204940377954669e-955j)  +/-  (8.99e-91, 2.43e-210j)
| (0.083928655334124672732 - 1.8973561008329468275e-955j)  +/-  (9.52e-92, 2.57e-211j)
| (0.075393818836668752138 + 7.3345479475876036229e-956j)  +/-  (2.03e-91, 5.47e-211j)
| (0.074526316497159291317 - 8.4657327313952377266e-956j)  +/-  (2.05e-91, 5.54e-211j)
| (0.088007690274844422367 + 1.268997063895899655e-955j)  +/-  (1.67e-92, 4.55e-212j)
| (0.075393818836668752138 - 3.0782897066046776259e-955j)  +/-  (7.17e-93, 1.95e-212j)
| (0.06573707349175683077 - 3.7456382175819304526e-955j)  +/-  (8.91e-93, 2.46e-212j)
| (0.083928655334124672732 - 4.5725968849761652348e-956j)  +/-  (6.2e-93, 1.52e-212j)
