Starting with polynomial:
P : 300540195/32768*t^16 - 145422675/4096*t^14 + 456326325/8192*t^12 - 185910725/4096*t^10 + 334639305/16384*t^8 - 20369349/4096*t^6 + 4849845/8192*t^4 - 109395/4096*t^2 + 6435/32768
Extension levels are: 16 17
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Trying to find an order 17 Kronrod extension for:
P1 : 300540195/32768*t^16 - 145422675/4096*t^14 + 456326325/8192*t^12 - 185910725/4096*t^10 + 334639305/16384*t^8 - 20369349/4096*t^6 + 4849845/8192*t^4 - 109395/4096*t^2 + 6435/32768
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 300540195/32768*t^33 - 17340199767/229376*t^31 + 21032700321303/74260480*t^29 - 21565531690857517/33788518400*t^27 + 865373180206080019221/897000692224000*t^25 - 697066033781193252316767/674993020898560000*t^23 + 36620438653994511812036602149/45454030027309030400000*t^21 - 34722306309656950102410964173909/74771879394923355008000000*t^19 + 1574815565353419839366476030258034643/7940025872946911068299520000000*t^17 - 198128252898142727955007959272634129/3176010349178764427319808000000*t^15 + 124130412218272309138880815238757/8725303157084517657472000000*t^13 - 9993078415965191680269364583421/4362651578542258828736000000*t^11 + 1089515784814320598932302780697/4362651578542258828736000000*t^9 - 1076557527185041398425942710917/62323593979175126124800000000*t^7 + 29719863741748102159663039581/43626515785422588287360000000*t^5 - 1924541201681000052834647007/152692805248979059005760000000*t^3 + 84828922796733979312295451/1221542441991832472046080000000*t
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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:
| (0.9894009349916499326 - 8.3631774471656042649e-311j)  +/-  (1.74e-116, 1.74e-116j)
| (6.4072283768920827456e-317 - 4.0107736420488198419e-317j)  +/-  (2.49e-315, 2.49e-315j)
| (-0.90915766701234294862 + 8.3907983637584240051e-312j)  +/-  (6.76e-117, 6.76e-117j)
| (-0.9715059509693925943 + 1.5914504473636143083e-324j)  +/-  (2.06e-116, 2.06e-116j)
| (0.90915766701234294862 - 2.5103440606100469987e-341j)  +/-  (7.3e-117, 7.3e-117j)
| (0.94457502307323257608 + 4.0998180773963975874e-342j)  +/-  (1.27e-116, 1.27e-116j)
| (-0.9894009349916499326 + 8.9802364103357847087e-340j)  +/-  (1.84e-116, 1.84e-116j)
| (-0.86563120238783174388 - 1.8236270577104674239e-355j)  +/-  (2.89e-117, 2.89e-117j)
| (0.99823927414544451418 + 4.4788279770499541537e-357j)  +/-  (7.93e-117, 7.93e-117j)
| (-0.99823927414544451418 - 2.4005942470808001843e-357j)  +/-  (7.3e-117, 7.3e-117j)
| (0.86563120238783174388 - 1.5366348518436250311e-369j)  +/-  (3.07e-117, 3.07e-117j)
| (0.9715059509693925943 - 4.7335229208879930677e-368j)  +/-  (2.1e-116, 2.1e-116j)
| (-0.37148378087841628868 + 1.383426522261685354e-374j)  +/-  (5.86e-123, 5.86e-123j)
| (-0.81424028706244446809 - 1.4127832808185587306e-368j)  +/-  (9.76e-118, 9.76e-118j)
| (-0.095012509837637440185 - 8.3399193062514359103e-380j)  +/-  (8.77e-127, 8.77e-127j)
| (0.81424028706244446809 - 3.4957010750238809074e-372j)  +/-  (9.18e-118, 9.18e-118j)
| (0.61787624440264374845 - 8.4042727746479599024e-375j)  +/-  (6.67e-120, 6.67e-120j)
| (-0.94457502307323257608 + 3.2206495359514448625e-372j)  +/-  (1.37e-116, 1.37e-116j)
| (-0.7554044083550030339 - 2.0364919193917910903e-380j)  +/-  (1.96e-118, 1.96e-118j)
| (-0.54040767635213974363 + 2.3335477992011264473e-383j)  +/-  (7.32e-121, 7.32e-121j)
| (0.45801677765722738634 + 1.5517854148935256626e-384j)  +/-  (6.66e-122, 6.66e-122j)
| (0.7554044083550030339 + 9.5076099660755192709e-382j)  +/-  (2.2e-118, 2.2e-118j)
| (0.18916857901808372631 + 4.2133518694470552961e-390j)  +/-  (1.93e-125, 1.93e-125j)
| (-0.61787624440264374845 + 3.4667729005551004903e-383j)  +/-  (6.14e-120, 6.14e-120j)
| (-0.45801677765722738634 - 1.8953869675058462408e-386j)  +/-  (6.94e-122, 6.94e-122j)
| (0.095012509837637440185 - 6.5529431987370306219e-392j)  +/-  (8.77e-127, 8.77e-127j)
| (0.68974110668176230388 - 3.1232838078672725527e-385j)  +/-  (3.94e-119, 3.94e-119j)
| (0.37148378087841628868 + 1.3019362864735386374e-388j)  +/-  (5.87e-123, 5.87e-123j)
| (-0.18916857901808372631 + 3.990810831050134856e-390j)  +/-  (2.05e-125, 2.05e-125j)
| (-0.68974110668176230388 + 1.1700486947325037526e-387j)  +/-  (4.26e-119, 4.26e-119j)
| (-0.28160355077925891323 + 4.9279020235114234821e-394j)  +/-  (3.38e-124, 3.38e-124j)
| (0.28160355077925891323 - 6.5684990127027266064e-393j)  +/-  (3.3e-124, 3.3e-124j)
| (0.54040767635213974363 - 2.9103941654293192316e-391j)  +/-  (6.88e-121, 6.88e-121j)
-------------------------------------------------
The weights are:
| (0.013257930688091157245 + 2.4555490069250871251e-311j)  +/-  (2.04e-24, 7.91e-80j)
| (0.09515421608049830702 - 6.7964592992437103913e-312j)  +/-  (1.22e-24, 4.73e-80j)
| (0.039512951202421964003 - 7.3671290236004919247e-313j)  +/-  (3.28e-25, 1.27e-80j)
| (0.022498859440049444029 - 3.9434854867396648048e-312j)  +/-  (2.58e-25, 1e-80j)
| (0.039512951202421964003 - 3.9112375962018665289e-311j)  +/-  (8.3e-26, 3.22e-81j)
| (0.03126054364738052824 + 5.5034091091626766592e-311j)  +/-  (9.23e-26, 3.58e-81j)
| (0.013257930688091157245 + 2.0132398395418079764e-312j)  +/-  (1.88e-26, 7.31e-82j)
| (0.047506215976407017235 - 7.1362422328907685683e-312j)  +/-  (8.09e-27, 3.14e-82j)
| (0.0047427770492473179063 + 4.2842699474615189342e-311j)  +/-  (7.94e-27, 3.09e-82j)
| (0.0047427770492473179063 - 6.3714641372285642148e-313j)  +/-  (6.62e-27, 2.57e-82j)
| (0.047506215976407017235 + 3.0498348929870986715e-311j)  +/-  (9.27e-28, 3.6e-83j)
| (0.022498859440049444029 - 1.0022999164781533308e-310j)  +/-  (1.27e-26, 4.92e-82j)
| (0.088337502579112731414 - 3.8013857154362905429e-312j)  +/-  (4.51e-30, 1.75e-85j)
| (0.055205633095422172303 + 2.4377292838281516471e-312j)  +/-  (4.42e-29, 1.72e-84j)
| (0.094728401247230041327 + 5.9941669867978844039e-312j)  +/-  (4.93e-30, 1.91e-85j)
| (0.055205633095422172303 - 2.4881920706711385426e-311j)  +/-  (3.08e-29, 1.2e-84j)
| (0.074769823885599557534 + 1.5660814795247864832e-311j)  +/-  (6.35e-31, 2.47e-86j)
| (0.03126054364738052824 + 8.6214470384416349588e-312j)  +/-  (9.37e-29, 3.64e-84j)
| (0.06235880601183485547 - 5.503062128635018678e-313j)  +/-  (3.14e-30, 1.22e-85j)
| (0.080053941263719286446 - 2.3542780947360713678e-312j)  +/-  (2.15e-31, 8.34e-87j)
| (0.084595803792590637585 + 1.2179848047482199294e-311j)  +/-  (1.07e-32, 4.15e-88j)
| (0.06235880601183485547 + 2.0922164128188311195e-311j)  +/-  (2.05e-31, 7.97e-87j)
| (0.093438674060921230478 - 8.6039923749516292114e-312j)  +/-  (4.9e-33, 1.9e-88j)
| (0.074769823885599557534 + 1.559576156534185012e-312j)  +/-  (2.48e-32, 9.62e-88j)
| (0.084595803792590637585 + 3.0893039519299217297e-312j)  +/-  (1.7e-32, 6.61e-88j)
| (0.094728401247230041327 + 7.6599501012762565963e-312j)  +/-  (2.32e-33, 8.99e-89j)
| (0.068862995191531243001 - 1.7976985771032801503e-311j)  +/-  (2.39e-33, 9.29e-89j)
| (0.088337502579112731414 - 1.082944534254736813e-311j)  +/-  (3.15e-34, 1.22e-89j)
| (0.093438674060921230478 - 5.2377029311543211869e-312j)  +/-  (2.98e-34, 1.16e-89j)
| (0.068862995191531243001 - 6.3924422616607945925e-313j)  +/-  (4.16e-34, 1.62e-89j)
| (0.091292032828191662272 + 4.512084110211419769e-312j)  +/-  (2.19e-34, 8.49e-90j)
| (0.091292032828191662272 + 9.6514101771481717583e-312j)  +/-  (4.15e-35, 1.62e-90j)
| (0.080053941263719286446 - 1.3764688861601126633e-311j)  +/-  (2.91e-35, 1.12e-90j)
