Starting with polynomial:
P : 5014575/2048*t^14 - 16900975/2048*t^12 + 22309287/2048*t^10 - 14549535/2048*t^8 + 4849845/2048*t^6 - 765765/2048*t^4 + 45045/2048*t^2 - 429/2048
Extension levels are: 14 16
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : 5014575/2048*t^14 - 16900975/2048*t^12 + 22309287/2048*t^10 - 14549535/2048*t^8 + 4849845/2048*t^6 - 765765/2048*t^4 + 45045/2048*t^2 - 429/2048
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5014575/2048*t^30 - 1125679225/63488*t^28 + 1246045465377/21649408*t^26 - 47214967905675/427083776*t^24 + 8279453236577043825/59273676019712*t^22 - 265097233046280722625/2171571948722176*t^20 + 176605704398010038878576125/2337777550961525184512*t^18 - 726057371676924810034804575/21792010317704287209472*t^16 + 408881368963226674314966702481875/39317820567521923816232876032*t^14 - 972372203030901002393719292625/432063962280460701277284352*t^12 + 311688008849533074398432775/958013220134059204605952*t^10 - 1160376599085174624439089855/39278542025496427388844032*t^8 + 59657370593305414314756663/39278542025496427388844032*t^6 - 10030090644588215767730265/274949794178474991721908224*t^4 + 71779444292607314301405/274949794178474991721908224*t^2 - 2399833002338835885/274949794178474991721908224
-------------------------------------------------
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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.9977135406837945019 + 4.1191866089518206486e-458j)  +/-  (3.01e-118, 3.01e-118j)
| (-0.98628380869681233884 + 4.1820250233789155026e-458j)  +/-  (6.39e-118, 6.39e-118j)
| (-0.96317629668969619272 + 2.1531920322368783073e-460j)  +/-  (6.8e-118, 6.8e-118j)
| (0.98628380869681233884 + 4.8615162207960284264e-461j)  +/-  (6.22e-118, 6.22e-118j)
| (0.82720131506976499319 + 1.379626177166431241e-478j)  +/-  (6.56e-119, 6.56e-119j)
| (0.96317629668969619272 - 3.3793618787476635671e-481j)  +/-  (6.68e-118, 6.68e-118j)
| (0.9977135406837945019 + 1.1590122443723639901e-497j)  +/-  (2.86e-118, 2.86e-118j)
| (-0.92843488366357351734 + 1.4459579707308105851e-506j)  +/-  (4.59e-118, 4.59e-118j)
| (-0.8828887241549355409 + 1.2131035236063593263e-508j)  +/-  (1.83e-118, 1.83e-118j)
| (0.92843488366357351734 - 8.927377594308876498e-508j)  +/-  (4.24e-118, 4.24e-118j)
| (0.8828887241549355409 + 1.6203310493736487372e-515j)  +/-  (2.07e-118, 2.07e-118j)
| (0.60473988684455551574 + 2.7391906102729920092e-521j)  +/-  (5.77e-121, 5.77e-121j)
| (-0.82720131506976499319 - 1.4756290252647807678e-518j)  +/-  (6.96e-119, 6.96e-119j)
| (-0.76179216723427461219 + 1.0113331863424558161e-521j)  +/-  (1.77e-119, 1.77e-119j)
| (-0.0057957638609813197295 - 2.4283229391878027987e-523j)  +/-  (2.4e-128, 2.4e-128j)
| (0.68729290481168547015 + 1.9682748159562056742e-521j)  +/-  (3.71e-120, 3.71e-120j)
| (0.41973204098279916916 - 8.0961053329294651352e-527j)  +/-  (5.27e-123, 5.27e-123j)
| (-0.10805494870734366207 - 1.0859198379802598876e-529j)  +/-  (1.13e-126, 1.13e-126j)
| (-0.68729290481168547015 + 1.7451147613813326524e-525j)  +/-  (3.61e-120, 3.61e-120j)
| (-0.21468148737211924164 - 2.2426039749294489254e-529j)  +/-  (1.69e-125, 1.69e-125j)
| (0.31911236892788976044 + 8.6251288220404992055e-528j)  +/-  (3.61e-124, 3.61e-124j)
| (0.76179216723427461219 + 1.4023941954341990309e-526j)  +/-  (1.86e-119, 1.86e-119j)
| (0.0057957638609813197295 - 3.8347462111844212075e-534j)  +/-  (1.71e-128, 1.71e-128j)
| (-0.51524863635815409197 - 8.2530001612903001953e-528j)  +/-  (6.01e-122, 6.01e-122j)
| (-0.41973204098279916916 + 1.5287006730555077678e-528j)  +/-  (5.41e-123, 5.41e-123j)
| (0.10805494870734366207 + 1.4311471550694804457e-533j)  +/-  (1.34e-126, 1.34e-126j)
| (0.51524863635815409197 - 5.5563729405185390191e-529j)  +/-  (6.27e-122, 6.27e-122j)
| (0.21468148737211924164 + 1.7124043563947017885e-532j)  +/-  (1.72e-125, 1.72e-125j)
| (-0.31911236892788976044 + 5.810981663349743713e-531j)  +/-  (3.4e-124, 3.4e-124j)
| (-0.60473988684455551574 + 1.190448605932670794e-529j)  +/-  (5.03e-121, 5.03e-121j)
-------------------------------------------------
The weights are:
| (0.0061493775921307805156 + 6.5181903707074663965e-458j)  +/-  (7.02e-25, 6.45e-81j)
| (0.017126284384793270108 - 5.2456116040118746688e-458j)  +/-  (4.97e-25, 4.57e-81j)
| (0.029045158677457194888 - 1.5307819560358609316e-458j)  +/-  (1.93e-25, 1.77e-81j)
| (0.017126284384793270108 + 1.6666465781508854919e-462j)  +/-  (4.41e-27, 4.05e-83j)
| (0.060619276669579670685 + 5.158458221970276783e-461j)  +/-  (1.62e-27, 1.49e-83j)
| (0.029045158677457194888 + 3.1581966674253379256e-461j)  +/-  (2.5e-27, 2.29e-83j)
| (0.0061493775921307805156 - 3.0241671550437416371e-461j)  +/-  (1.97e-27, 1.81e-83j)
| (0.040284686432718827169 + 3.4136632787341236968e-459j)  +/-  (1.06e-27, 9.75e-84j)
| (0.050695950970648892437 - 1.104075648618395504e-459j)  +/-  (2.3e-28, 2.11e-84j)
| (0.040284686432718827169 + 6.5888483900333208437e-462j)  +/-  (2.16e-28, 1.99e-84j)
| (0.050695950970648892437 - 2.9903393941775946825e-461j)  +/-  (9.43e-29, 8.66e-85j)
| (0.086193007320066077458 - 1.4022165423318334042e-460j)  +/-  (1.83e-31, 1.68e-87j)
| (0.060619276669579670685 + 3.1374647356491647049e-460j)  +/-  (4.4e-30, 4.05e-86j)
| (0.070097608820462013994 + 2.9726321123325562154e-461j)  +/-  (7.95e-31, 7.31e-87j)
| (0.054455124941510219393 + 1.4680555327475675103e-458j)  +/-  (7.33e-33, 6.74e-89j)
| (0.078720953148600006735 + 1.0332464064350453673e-460j)  +/-  (1.17e-31, 1.08e-87j)
| (0.098245396036261422019 - 2.6710364177960956322e-460j)  +/-  (4.56e-33, 4.19e-89j)
| (0.1071378802405248296 - 1.6938814919061263332e-459j)  +/-  (1.77e-33, 1.63e-89j)
| (0.078720953148600006735 - 2.0686640832307517258e-460j)  +/-  (1.26e-33, 1.15e-89j)
| (0.10581020899608502553 + 9.0885862776216883021e-460j)  +/-  (5.45e-34, 5e-90j)
| (0.10277707715564529832 + 3.9422176224716648615e-460j)  +/-  (4.57e-34, 4.2e-90j)
| (0.070097608820462013994 - 7.5067543530732868113e-461j)  +/-  (4.34e-33, 3.99e-89j)
| (0.054455124941510219393 - 1.4550105377960837548e-458j)  +/-  (3.19e-33, 2.94e-89j)
| (0.092642008613516471142 - 4.0895084075398292606e-460j)  +/-  (1.86e-35, 1.71e-91j)
| (0.098245396036261422019 + 5.0542535859736809766e-460j)  +/-  (1.72e-35, 1.58e-91j)
| (0.1071378802405248296 + 1.4341869997871708279e-459j)  +/-  (5.86e-35, 5.38e-91j)
| (0.092642008613516471142 + 1.912699380504593018e-460j)  +/-  (9.57e-36, 8.76e-92j)
| (0.10581020899608502553 - 6.5303989407680252841e-460j)  +/-  (2.11e-35, 1.94e-91j)
| (0.10277707715564529832 - 6.4346151510657769702e-460j)  +/-  (3.16e-36, 2.96e-92j)
| (0.086193007320066077458 + 3.1855020333620961723e-460j)  +/-  (1.07e-36, 9.43e-93j)
