Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 7 14
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P2 : 231/16*t^13 - 3731/80*t^11 + 1182181/20400*t^9 - 200960617/5814000*t^7 + 1942171/193800*t^5 - 241297/193800*t^3 + 38549/872100*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 231/16*t^27 - 43628325515666031917851426168046714182678005153547306322891/434112750329433056103197949260124924351452023814902484720*t^25 + 3447417271563978540592359268215938524660812362488452941599327/11069875133400542930631547706133185570962026607280013360360*t^23 - 958253792860215742976024943685787482592418453648227998750270401361/1692611582584776515450890223137029406764021273319632242832444900*t^21 + 9447754550846660836300442762908007346499107726677503167279314399573/14105096521539804295424085192808578389700177277663602023603707500*t^19 - 8160125049308390661724515652202451976369502606549497934423574613/15088892299464916875721100976474730840500831490868209267868750*t^17 + 2468002351586438514135842323895702753741829841501621398164287046201/8122439482991961606652878779759738639270071125837244508948265000*t^15 - 9336788635391968047610986731056428438037959274902265455583341146341/78516915002255628864311161537677473512944020883093363586499895000*t^13 + 45124159310784289277944144114818259250341387724293843591286703807863/1413304470040601319557600907678194523232992375895680544556998110000*t^11 - 24119809607145744620329779665842439469140390944149249785163771674291/4239913410121803958672802723034583569698977127687041633670994330000*t^9 + 466953088875027465867106720494295577140276253240105208580550013526/736096078146146520602917139415726314183850195779000283623436515625*t^7 - 47124963542829584547632662839938059225442863912655017404588867259/1177753725033834432964667423065162102694160313246400453797498425000*t^5 + 319533677880950081539086426113184006983537463838094213666207377/270693396479550655963653399656105805861157813931632362364747621875*t^3 - 988003937446431273574274589763242565732773100562083710771776741/95103613296482130461896894412511839792553445294646836644147997818750*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: 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:
| (0.99825628002495804693 - 3.2739823370451958053e-459j)  +/-  (1.75e-118, 1.75e-118j)
| (-0.56617314033688218104 - 5.553875527148121268e-473j)  +/-  (5.07e-122, 5.07e-122j)
| (-0.88362784670113237936 - 9.6804460224185040561e-470j)  +/-  (5.44e-119, 5.44e-119j)
| (0.46311821247530461216 + 1.1512273080877185645e-471j)  +/-  (5.66e-123, 5.66e-123j)
| (0.93246951420315202781 - 6.3816357368146525153e-469j)  +/-  (1.45e-118, 1.45e-118j)
| (0.96737769790316712246 + 1.1040149286499969335e-481j)  +/-  (2.81e-118, 2.81e-118j)
| (-0.12022229577468456725 + 4.4744049332842799933e-495j)  +/-  (8.03e-127, 8.03e-127j)
| (-0.93246951420315202781 + 2.8899854702302659174e-485j)  +/-  (1.56e-118, 1.56e-118j)
| (-0.96737769790316712246 + 1.5295240663665972969e-485j)  +/-  (2.98e-118, 2.98e-118j)
| (-0.99825628002495804693 - 1.1756638676728229153e-486j)  +/-  (1.71e-118, 1.71e-118j)
| (0.88362784670113237936 + 5.7311579182249943986e-499j)  +/-  (5.67e-119, 5.67e-119j)
| (-0.35344923656243220686 - 2.7016223228479447292e-510j)  +/-  (3.63e-124, 3.63e-124j)
| (0.9887032026126788575 + 1.9913347417076142792e-510j)  +/-  (3.76e-118, 3.76e-118j)
| (-0.74677293740190732792 + 3.9369597252193679127e-519j)  +/-  (2.99e-120, 2.99e-120j)
| (0.56617314033688218104 - 2.1546713637445856767e-521j)  +/-  (5.51e-122, 5.51e-122j)
| (0.82137334086502794005 + 7.2828952909437824183e-519j)  +/-  (1.48e-119, 1.48e-119j)
| (0.35344923656243220686 + 1.2590362385321069478e-521j)  +/-  (3.37e-124, 3.37e-124j)
| (0.12022229577468456725 - 1.048009900203087734e-524j)  +/-  (8.03e-127, 8.03e-127j)
| (-0.66120938646626451366 + 3.052899979364602097e-520j)  +/-  (4.64e-121, 4.64e-121j)
| (-0.23861918608319690863 + 4.6920322343636338777e-527j)  +/-  (2.05e-125, 2.05e-125j)
| (0.23861918608319690863 - 1.3302600776794250939e-523j)  +/-  (1.98e-125, 1.98e-125j)
| (0.74677293740190732792 - 1.5354910921723512481e-519j)  +/-  (3.26e-120, 3.26e-120j)
| (-0.9887032026126788575 - 1.4520526897122853116e-517j)  +/-  (3.45e-118, 3.45e-118j)
| (-0.82137334086502794005 - 2.6397554717906013549e-525j)  +/-  (1.49e-119, 1.49e-119j)
| (-0.46311821247530461216 - 2.3204471693633563161e-529j)  +/-  (5.12e-123, 5.12e-123j)
| (-2.4067156159016357016e-536 + 1.7725792831165246916e-536j)  +/-  (8.07e-535, 8.07e-535j)
| (0.66120938646626451366 - 7.8206774735289758018e-529j)  +/-  (5.23e-121, 5.23e-121j)
-------------------------------------------------
The weights are:
| (0.0048104922687617680838 + 3.005451314644052169e-459j)  +/-  (1.74e-36, 2.87e-93j)
| (0.099281767462840649057 + 2.9310330815529695745e-461j)  +/-  (6.28e-37, 1.04e-93j)
| (0.055688621583776816802 + 2.5146942451351876436e-461j)  +/-  (3.67e-37, 6.06e-94j)
| (0.10659596070144991789 - 8.6237207602390138783e-461j)  +/-  (1.46e-37, 2.42e-94j)
| (0.041903025166437897284 - 7.3760215735175509915e-460j)  +/-  (2.28e-37, 3.77e-94j)
| (0.027962260152579959689 + 1.5415056443366544238e-459j)  +/-  (2.35e-37, 3.88e-94j)
| (0.11960954371366550725 + 4.1375463252085625839e-461j)  +/-  (7.09e-39, 1.17e-95j)
| (0.041903025166437897284 - 2.5132756150066459376e-461j)  +/-  (7.03e-38, 1.16e-94j)
| (0.027962260152579959689 + 2.4215855668738013541e-461j)  +/-  (1.84e-38, 3.03e-95j)
| (0.0048104922687617680838 + 7.8884886866748406391e-462j)  +/-  (4.26e-39, 7.03e-96j)
| (0.055688621583776816802 + 4.1284374566282326077e-460j)  +/-  (4.47e-39, 7.37e-96j)
| (0.11250160662098474306 + 3.4259172001546222094e-461j)  +/-  (7.78e-40, 1.28e-96j)
| (0.014974270897344611809 - 4.0661772786143077783e-459j)  +/-  (2.55e-38, 4.2e-95j)
| (0.080327859452118002744 + 2.6127711753565989934e-461j)  +/-  (3.94e-40, 6.5e-97j)
| (0.099281767462840649057 + 1.0612296490325764709e-460j)  +/-  (1.91e-40, 3.15e-97j)
| (0.068638887221077186568 - 2.6096166282631991012e-460j)  +/-  (5.44e-40, 8.97e-97j)
| (0.11250160662098474306 + 7.1817316928168883201e-461j)  +/-  (6.83e-41, 1.13e-97j)
| (0.11960954371366550725 + 5.2705897543914659418e-461j)  +/-  (1.24e-41, 2.05e-98j)
| (0.090548212673667053699 - 2.7465839632489512075e-461j)  +/-  (7.34e-42, 1.21e-98j)
| (0.11689279969768060572 - 3.7452876528927192372e-461j)  +/-  (8.65e-42, 1.43e-98j)
| (0.11689279969768060572 - 6.0982467139942007449e-461j)  +/-  (8.81e-42, 1.45e-98j)
| (0.080327859452118002744 + 1.8129876904011155871e-460j)  +/-  (4.73e-42, 7.82e-99j)
| (0.014974270897344611809 - 1.9549722433784073862e-461j)  +/-  (1.57e-42, 2.6e-99j)
| (0.068638887221077186568 - 2.5367616167646289774e-461j)  +/-  (1.1e-42, 1.83e-99j)
| (0.10659596070144991789 - 3.1579046199570844301e-461j)  +/-  (5.44e-43, 9e-100j)
| (0.12052938477523056068 - 4.6331679860013054145e-461j)  +/-  (2.65e-43, 4.43e-100j)
| (0.090548212673667053699 - 1.3522930718126250655e-460j)  +/-  (1.76e-43, 2.68e-100j)
