Starting with polynomial:
P : 35/8*t^4 - 15/4*t^2 + 3/8
Extension levels are: 4 10 15
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Trying to find an order 10 Kronrod extension for:
P1 : 35/8*t^4 - 15/4*t^2 + 3/8
Solvable: 1
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Trying to find an order 15 Kronrod extension for:
P2 : 35/8*t^14 - 436215/27784*t^12 + 12954799/583464*t^10 - 3039465/194488*t^8 + 2679105/472328*t^6 - 8846695/8974232*t^4 + 1485/22952*t^2 - 273/390184
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 35/8*t^29 - 2402089014683800665037312007125125356817428388067478185/71529207311958149593216150491297897582025343749358616*t^27 + 3270458960381271002652239024540054871822069537124442771674/28227213435481484783222923387628432833306751277090643839*t^25 - 26784017695434811917989523247349936218418708957615366101825/112908853741925939132891693550513731333227005108362575356*t^23 + 64608188725953743826299168956446993630331783961430990684425/201591075963845183251385395260713957354976730746833689032*t^21 - 383704505548967349960794957906748309191944986918091711949125/1276743481104352827258774169984521729914852628063280030536*t^19 + 24651159985763058005357894745578873859819238580385891724253125/123071351875927484374970783806665870965213294120941967154036*t^17 - 3573376971053009630379729249569204285311019479388139328534825/37404038315232862898275434294182764705113844291658833154658*t^15 + 4846821111105343170385721296334035111699016383715071764587125/149616153260931451593101737176731058820455377166635332618632*t^13 - 216455952888509389821121221505963901273437032139524438819915625/28277452966316044351096228326402170117066066284494077864921448*t^11 + 86766601393692989421684667518388113838281016329151573331845/71407709510899101896707647288894368982490066374985045113438*t^9 - 57207597926925365588730160958906849319955607658461119459105/469250662500194098178364539327020139027791864749901725031164*t^7 + 19637345589677880919542243058972336166541092217553875555659/2815503975001164589070187235962120834166751188499410350186984*t^5 - 178019469735941922405743817047814577491418995739285248115/947568970652565860089644335452630039196217388722023773251336*t^3 + 110011819037816453266295156219249909383108528007983596145/72489026254921288296857791662126197998510630237234818653727204*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:
| (-0.99857629549154871341 - 5.0877162387835107946e-398j)  +/-  (6.4e-117, 6.4e-117j)
| (-0.99444997880691468328 + 5.0020309108466026918e-400j)  +/-  (1.09e-116, 1.09e-116j)
| (-0.91309867913380980692 - 1.7467297106490574494e-401j)  +/-  (7.41e-118, 7.41e-118j)
| (6.9137229439634156727e-417 + 2.1284664266842517382e-416j)  +/-  (6.49e-415, 6.49e-415j)
| (0.91309867913380980692 + 9.4440973164209452314e-400j)  +/-  (7.97e-118, 7.97e-118j)
| (0.95280406968027788258 + 2.0770583272502785214e-403j)  +/-  (2.19e-117, 2.19e-117j)
| (0.99857629549154871341 - 6.4475598460170110091e-417j)  +/-  (6.18e-117, 6.18e-117j)
| (-0.95280406968027788258 - 3.4557149674927018079e-435j)  +/-  (2.25e-117, 2.25e-117j)
| (-0.97995439855893244894 - 4.7662974891987782632e-436j)  +/-  (5.57e-117, 5.57e-117j)
| (0.97995439855893244894 + 2.7739809102148235862e-437j)  +/-  (5.79e-117, 5.79e-117j)
| (0.86113631159405257522 + 2.3508835851637266571e-449j)  +/-  (2.06e-118, 2.06e-118j)
| (0.99444997880691468328 - 2.3066377613656759415e-454j)  +/-  (1.05e-116, 1.05e-116j)
| (-0.86113631159405257522 + 5.1789092552279987858e-462j)  +/-  (1.94e-118, 1.94e-118j)
| (-0.7975424410785595081 - 1.0503347949252692198e-463j)  +/-  (4.17e-119, 4.17e-119j)
| (-0.22923457827971255848 - 2.1430440238417646685e-470j)  +/-  (2.19e-125, 2.19e-125j)
| (0.7975424410785595081 + 7.7720289141573887132e-465j)  +/-  (4.4e-119, 4.4e-119j)
| (0.54627694908708365616 + 1.8694023400133559225e-468j)  +/-  (9.35e-122, 9.35e-122j)
| (-0.54627694908708365616 - 1.5154829975600985592e-468j)  +/-  (8.64e-122, 8.64e-122j)
| (-0.72317255923281838433 - 2.9164150086128996623e-466j)  +/-  (6.99e-120, 6.99e-120j)
| (-0.44614011312884109303 - 5.4678661701719855581e-470j)  +/-  (6.57e-123, 6.57e-123j)
| (0.44614011312884109303 - 6.0337677512379295642e-470j)  +/-  (6.43e-123, 6.43e-123j)
| (0.72317255923281838433 - 1.6986383240829956612e-467j)  +/-  (6.93e-120, 6.93e-120j)
| (0.11539569344883949077 + 1.1217384313377229611e-474j)  +/-  (7.6e-127, 7.6e-127j)
| (-0.3399810435848562648 - 2.5669476219044097095e-472j)  +/-  (3.95e-124, 3.95e-124j)
| (-0.63903832758025874306 + 3.9859411298012061415e-469j)  +/-  (8.82e-121, 8.82e-121j)
| (0.22923457827971255848 + 3.9272205524402106831e-473j)  +/-  (1.92e-125, 1.92e-125j)
| (0.63903832758025874306 + 6.5601237771290704032e-472j)  +/-  (8.53e-121, 8.53e-121j)
| (0.3399810435848562648 + 1.0094545846236792297e-475j)  +/-  (4.13e-124, 4.13e-124j)
| (-0.11539569344883949077 + 8.510104979181161154e-478j)  +/-  (7.6e-127, 7.6e-127j)
-------------------------------------------------
The weights are:
| (0.0025951004387363243543 - 4.775643359957813033e-398j)  +/-  (9.05e-26, 5.53e-80j)
| (0.0080715981802957060362 + 5.4815800173337059692e-398j)  +/-  (8.08e-26, 4.94e-80j)
| (0.045913683254536868398 - 1.1110842869947516677e-399j)  +/-  (7.28e-27, 4.45e-81j)
| (0.11565589052296056292 - 6.1105546505223190926e-401j)  +/-  (1.52e-27, 9.26e-82j)
| (0.045913683254536868398 + 2.8771410718439418149e-400j)  +/-  (4.07e-28, 2.49e-82j)
| (0.033447345902591150315 - 1.3408682239111606522e-399j)  +/-  (2.6e-28, 1.59e-82j)
| (0.0025951004387363243543 + 6.6180726537387379113e-400j)  +/-  (3.95e-29, 2.42e-83j)
| (0.033447345902591150315 + 2.6297561231507920781e-399j)  +/-  (5.26e-29, 3.21e-83j)
| (0.020854697000215804151 - 8.95503932498816752e-399j)  +/-  (6.8e-29, 4.16e-83j)
| (0.020854697000215804151 + 1.0650821467473439382e-399j)  +/-  (2.15e-29, 1.31e-83j)
| (0.057904832886299220684 + 7.2483156493525532929e-400j)  +/-  (5.1e-31, 3.12e-85j)
| (0.0080715981802957060362 - 1.2050596627246135424e-399j)  +/-  (3.85e-29, 2.35e-83j)
| (0.057904832886299220684 + 5.8943645863723702741e-400j)  +/-  (2.39e-31, 1.46e-85j)
| (0.069139092253718534658 - 3.4687027024785650577e-400j)  +/-  (3.98e-32, 2.43e-86j)
| (0.11254584818117842892 - 7.0948602322226163455e-401j)  +/-  (3.24e-34, 1.98e-88j)
| (0.069139092253718534658 - 2.9847276206817684224e-400j)  +/-  (3.07e-33, 1.88e-87j)
| (0.096666754074160015727 + 9.1493966248237454191e-401j)  +/-  (9.41e-35, 5.75e-89j)
| (0.096666754074160015727 + 1.2172563718434381776e-400j)  +/-  (8.43e-35, 5.15e-89j)
| (0.079431621510327975266 + 2.2710261159017439485e-400j)  +/-  (4.9e-34, 2.99e-88j)
| (0.10338102928190504594 - 9.7112226706510145525e-401j)  +/-  (2.72e-35, 1.66e-89j)
| (0.10338102928190504594 - 7.5740232911429020311e-401j)  +/-  (2.11e-36, 1.29e-90j)
| (0.079431621510327975266 + 1.7374970591472852895e-400j)  +/-  (7.03e-36, 4.3e-90j)
| (0.11487566860698392989 + 6.0235158159326172928e-401j)  +/-  (9.46e-37, 5.78e-91j)
| (0.10869760251230427621 + 8.1233472843650856435e-401j)  +/-  (3.5e-36, 2.14e-90j)
| (0.088647180655266437992 - 1.6103014530748155608e-400j)  +/-  (1.34e-35, 8.22e-90j)
| (0.11254584818117842892 - 6.1949562310999642139e-401j)  +/-  (2.04e-37, 1.25e-91j)
| (0.088647180655266437992 - 1.1952416083125493951e-400j)  +/-  (2.58e-37, 1.58e-91j)
| (0.10869760251230427621 + 6.6726385376976293597e-401j)  +/-  (1.26e-37, 7.76e-92j)
| (0.11487566860698392989 + 6.454383072458816172e-401j)  +/-  (1.12e-37, 6.49e-92j)
