Starting with polynomial:
P : 63/8*t^5 - 35/4*t^3 + 15/8*t
Extension levels are: 5 12 18
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Trying to find an order 12 Kronrod extension for:
P1 : 63/8*t^5 - 35/4*t^3 + 15/8*t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : 63/8*t^17 - 15500107/453038*t^15 + 14463685/235828*t^13 - 754990808/12911583*t^11 + 2466422101/77469498*t^9 - 2971987447/301270270*t^7 + 61205289431/37615745140*t^5 - 683012759/5642361771*t^3 + 39745277/15046298056*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 63/8*t^35 - 533877443673504518414311151877141483654845246713007357733056718482701443138127195996061133241462180045/7378315321173461735803078221908163357319437792033133362735888972659544347671062733393072048319002664*t^33 + 79547641748815736345150072716534349655011762238618920230653365734434670428189590847483732182080642868305/261259437963369395099572633403020875243265547272445949525966250440990229401625357696054687529113776148*t^31 - 22539815503148489642992703323717879413768011580750968005672549705553736738932280201243691286095877537869223/28999797613934002856052562307735317152002475747241500397382253798949915463580414704262070315731629152428*t^29 + 366887132849052209339475607220839717011933269617565609418304877699799866867074165748919734920189261006096513/272998094779447682058701707241784192499885375137825158913288113348735411088188041871156730903266715814236*t^27 - 252433570857367480563181925133895320529718747024320319193314537538723756590541560753067774699313979541663657/151665608210804267810389837356546773611047430632125088285160062971519672826771134372864850501814842119020*t^25 + 2469772811346769114082291878910660008082506247786435551458469369209994256761827422109213855534404952017177154945/1622278344983096167195789400759603163818955599281626365488590484646454897957702865877209630982235382085610436*t^23 - 275058381041288609731976741000574552865314363880360859037830859492881806875083294877685495211634669005276022023005/263161761092692686948151750184090408878631449605206433462518743400692314099138669242950831878031313502670110292*t^21 + 6224480018922344450230333665132428495153313963178316990246561274639093714706604582918361763735549269254231573668095/11485131144831087980380051383034231416060272550627223631828496586987357422469551921960211305534080896437959813458*t^19 - 2369146726849474702803405277741592563776341750046782855729884158356932084259087766677429093649928407147314508555315/11182890851546059349317418451901751641953423272979138799411957203119269069246668976645468902756868241268539818367*t^17 + 2766573213948201864087413161462863956844654148285882095614268133516828426537331777643223379364060868544236940520329/44731563406184237397269673807607006567813693091916555197647828812477076276986675906581875611027472965074159273468*t^15 - 6518332485262945516121741659194086916046229308670047829485996797269550806689938084704299360537112633542977062993355/492047197468026611369966411883677072245950624011082107174126116937247839046853434972400631721302202615815752008148*t^13 + 994879105937362987870406108458658871779934011048080045134338661582265536874832679548507104053260758164151139885/491555641826200410959007404479197874371579044966115991182943173763484354692161273698701929791510691923891860148*t^11 - 1193488153445042585657672969718433706870767326098852766774754802785489291730137063120317178642154795425666104845/5648252563625585854227085081657198216835691290271030917554950807961546641651438031745461797038302101540568732644*t^9 + 9857085489709486693200773972475272947017406994029316509583218390915536595823109776751238193243067316324768710195/698500567035030783972749521764940179482013822896850823470962249917911268017561169925855442233736693223850333270308*t^7 - 270189671234548231377320711425164229187800176999230658546254647113450988170561127072081102441622371148245681953/498928976453593417123392515546385842487152730640607731050687321369936620012543692804182458738383352302750238050220*t^5 + 1960123576426401638946220490579720109073507901432202151665792626523452284384278868916889983772902842723666843/199571590581437366849357006218554336994861092256243092420274928547974648005017477121672983495353340921100095220088*t^3 - 5981745265802651745098832086473035129998552102748385110370920359195418822478300137181640747121559664591583/111954794716416083842322223000652432948336710290087588430885935526912607417448828629231185863246996126470785123464*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:
| (0.96827060709476223499 + 1.3025757303831236133e-412j)  +/-  (5.96e-115, 5.96e-115j)
| (0.99903910605690893191 - 1.5805470176340831243e-421j)  +/-  (1.41e-114, 1.41e-114j)
| (-0.9061798459386639928 + 1.8630303134136556521e-439j)  +/-  (8.01e-116, 8.01e-116j)
| (0.9962698516849579968 - 4.3300293508810825001e-438j)  +/-  (2.24e-114, 2.24e-114j)
| (0.9414572212778081496 - 1.0613045571585508482e-440j)  +/-  (2.28e-115, 2.28e-115j)
| (0.9061798459386639928 - 9.9113104201159480594e-441j)  +/-  (9e-116, 9e-116j)
| (-0.98653916283166634538 - 7.6289698439695655128e-437j)  +/-  (1.28e-114, 1.28e-114j)
| (-0.9414572212778081496 + 1.024597989311357655e-442j)  +/-  (2.46e-115, 2.46e-115j)
| (-0.4563726808492347992 - 2.3726151216502271614e-449j)  +/-  (1.22e-121, 1.22e-121j)
| (0.28058048480296907582 - 5.6634185394431769311e-453j)  +/-  (3.72e-124, 3.72e-124j)
| (0.81141684513575577466 + 2.3740101203366781604e-445j)  +/-  (5.24e-117, 5.24e-117j)
| (-0.99903910605690893191 + 4.0649605847581648905e-440j)  +/-  (1.38e-114, 1.38e-114j)
| (-0.9962698516849579968 + 1.0022052257500108522e-449j)  +/-  (2.36e-114, 2.36e-114j)
| (-0.81141684513575577466 - 2.8404220909278232123e-455j)  +/-  (5.3e-117, 5.3e-117j)
| (-0.28058048480296907582 + 6.5370273662560790678e-465j)  +/-  (4.52e-124, 4.52e-124j)
| (0.53846931010568309104 + 4.496164637381626601e-460j)  +/-  (1.46e-120, 1.46e-120j)
| (0.61569611666508846808 - 5.2210408886305937954e-459j)  +/-  (1.66e-119, 1.66e-119j)
| (-0.61569611666508846808 + 1.3017131478893244071e-458j)  +/-  (1.66e-119, 1.66e-119j)
| (-0.7527896999237452831 + 3.0648599096873936352e-457j)  +/-  (9.87e-118, 9.87e-118j)
| (-0.96827060709476223499 - 6.9645180504124823941e-455j)  +/-  (5.94e-115, 5.94e-115j)
| (0.98653916283166634538 - 3.712972413196783236e-457j)  +/-  (1.33e-114, 1.33e-114j)
| (0.7527896999237452831 - 1.9883689379488739703e-470j)  +/-  (9.11e-118, 9.11e-118j)
| (0.094664836734182412342 + 2.8680332338711039e-479j)  +/-  (1e-126, 1e-126j)
| (-0.86270316598264717982 - 1.6902134623413564162e-471j)  +/-  (2.32e-116, 2.32e-116j)
| (-0.53846931010568309104 + 6.5689032594596704104e-476j)  +/-  (1.53e-120, 1.53e-120j)
| (0.18847441760531908906 + 2.4171010907336266362e-480j)  +/-  (2.17e-125, 2.17e-125j)
| (0.86270316598264717982 + 1.0907477791564044081e-477j)  +/-  (2.15e-116, 2.15e-116j)
| (0.3701498540017078954 + 8.872066644704634125e-485j)  +/-  (7.98e-123, 7.98e-123j)
| (-0.18847441760531908906 + 5.562269416724897258e-487j)  +/-  (2.21e-125, 2.21e-125j)
| (-0.68735255126326749856 + 3.2597620208940794348e-482j)  +/-  (1.28e-118, 1.28e-118j)
| (-0.094664836734182412342 - 1.7993772402750688667e-489j)  +/-  (1e-126, 1e-126j)
| (0.4563726808492347992 - 9.2901209958375343004e-484j)  +/-  (1.26e-121, 1.26e-121j)
| (0.68735255126326749856 + 1.3124217659187643842e-484j)  +/-  (1.39e-118, 1.39e-118j)
| (2.5894076290808393174e-497 + 5.1116459733394762435e-499j)  +/-  (9.06e-496, 9.06e-496j)
| (-0.3701498540017078954 + 1.228845255922364671e-487j)  +/-  (7.24e-123, 7.24e-123j)
-------------------------------------------------
The weights are:
| (0.022537603493684029961 + 6.182031451602047324e-413j)  +/-  (9.79e-21, 1.74e-73j)
| (0.001752220734767239761 - 1.0724838910876502342e-412j)  +/-  (4.4e-21, 7.81e-74j)
| (0.039433612634689143448 - 9.8805038182328784292e-415j)  +/-  (1.54e-23, 2.73e-76j)
| (0.0054090493904166332983 + 2.0326932605264894794e-412j)  +/-  (4.91e-21, 8.71e-74j)
| (0.031075807599742544899 + 8.4858787664526687909e-413j)  +/-  (3.9e-22, 6.92e-75j)
| (0.039433612634689143448 - 2.9828133063522923498e-413j)  +/-  (6.88e-23, 1.22e-75j)
| (0.014012949733628098753 + 2.0781256934221613298e-414j)  +/-  (1.88e-24, 3.33e-77j)
| (0.031075807599742544899 + 1.1914532426570732977e-414j)  +/-  (2.63e-24, 4.67e-77j)
| (0.084286866791249255706 + 6.3868304927268804739e-415j)  +/-  (1.73e-25, 3.08e-78j)
| (0.090974896911894747558 + 1.2295852816578113199e-414j)  +/-  (1.9e-25, 3.38e-78j)
| (0.055040230386415881427 - 8.6984723480441257476e-414j)  +/-  (4.44e-24, 7.88e-77j)
| (0.001752220734767239761 + 1.6773525448703046074e-414j)  +/-  (3.88e-25, 6.89e-78j)
| (0.0054090493904166332983 - 2.897057964724924909e-414j)  +/-  (5.58e-25, 9.91e-78j)
| (0.055040230386415881427 - 7.6664478888915615372e-415j)  +/-  (2.68e-27, 4.76e-80j)
| (0.090974896911894747558 + 6.7708124547328033566e-415j)  +/-  (3.22e-28, 5.71e-81j)
| (0.079782338742165290259 - 2.2315145224291324186e-414j)  +/-  (2.48e-28, 4.4e-81j)
| (0.074554363102368184937 + 2.9026515503162858408e-414j)  +/-  (2.8e-28, 4.97e-81j)
| (0.074554363102368184937 + 6.4609999433806587738e-415j)  +/-  (5.75e-29, 1.02e-81j)
| (0.062125593932451223063 + 7.0732287156414853871e-415j)  +/-  (1.37e-28, 2.43e-81j)
| (0.022537603493684029961 - 1.5159468396123127735e-414j)  +/-  (3.78e-27, 6.7e-80j)
| (0.014012949733628098753 - 2.2236790178199761418e-412j)  +/-  (2.9e-27, 5.15e-80j)
| (0.062125593932451223063 + 5.6494347200714422961e-414j)  +/-  (2.19e-29, 3.89e-82j)
| (0.094379417795063280916 + 9.343446393989154444e-415j)  +/-  (2.59e-31, 4.59e-84j)
| (0.047454030419592221716 + 8.552617793551700164e-415j)  +/-  (7.4e-29, 1.31e-81j)
| (0.079782338742165290259 - 6.3654505004142714776e-415j)  +/-  (3.03e-30, 5.38e-83j)
| (0.093098230289087027303 - 1.0605821632986823756e-414j)  +/-  (2.13e-31, 3.79e-84j)
| (0.047454030419592221716 + 1.4833758122679686257e-413j)  +/-  (3.36e-30, 5.95e-83j)
| (0.088028754253231453187 - 1.4591299224287921601e-414j)  +/-  (9.51e-32, 1.69e-84j)
| (0.093098230289087027303 - 7.1496994750079175291e-415j)  +/-  (1.38e-32, 2.45e-85j)
| (0.068650233756343702811 - 6.6877178312444719584e-415j)  +/-  (2.03e-31, 3.6e-84j)
| (0.094379417795063280916 + 7.6791951310274294501e-415j)  +/-  (6.22e-33, 1.1e-85j)
| (0.084286866791249255706 + 1.7774940522630702052e-414j)  +/-  (7.47e-33, 1.32e-85j)
| (0.068650233756343702811 - 3.9414841047238042414e-414j)  +/-  (1.02e-32, 1.8e-85j)
| (0.094807600066420081995 - 8.39338696573915237e-415j)  +/-  (2.37e-33, 4.28e-86j)
| (0.088028754253231453187 - 6.5206406613859439162e-415j)  +/-  (1.95e-33, 3.21e-86j)
