Starting with polynomial:
P : t
Extension levels are: 1 2 4 8 16
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P3 : t^7 - 77/45*t^5 + 749/891*t^3 - 31/297*t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P4 : t^15 - 646576627207/164781456795*t^13 + 343884350900909/55465438357197*t^11 - 36142899049575851/7185295423545975*t^9 + 1577324700316391/714327615206325*t^7 - 3801532399394821/7540124827177875*t^5 + 2102662882898711/40716674066760525*t^3 - 233879228435939/149294471578121925*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^31 - 155916139588817243891959052654583117738393521847730782981572197498621478586496362545794586217855894033746656140115105462579433822004416967701956723/18677247941136930978521670694040988861521409095164959112039873956110483344365812412562334167986843884164281057339508849125923799166359854199840255*t^29 + 90292304513854098716079175580548375919231361266147389133386089858191488657146276835496833918243274388174315734776497331531222121685257786700586066403/2857618934993950439713815616188271295812775591560238744142100715284903951687969299122037127701987114277135001772944853916266341272453057692575559015*t^27 - 27620793788174979448892855572678355480810892161154588606061354106275081569365572102174346947619258395610096541762701583002202904503650548477356856070380571/385221320531859489025620914140259912032041213620277983904075886923981477207296701368146214999866372940129183914001831032182284135233034442247648233017075*t^25 + 2135088493672042312739059355433458542520513393807410162361524572495654866371918365366677014969942541349959096121181823091997553355562315894623842960155742549/19646287347124833940306666621153255513634101894634177179107870233123055337572131769775456964993185019946588379614093382641296490896884756554630059883870825*t^23 - 135126553171721132780162950722178688200894696147796948725944801845431716416006361286457846990244483437320977560830719747898036010673472383109130239113795643/1164799645086452605156521736432011196460519875175939358445130646232592213690047338128979661956117688929639627249847433753436550843688819558574904736197875*t^21 + 772283689112101626291664975345527444055987933554530384588205990619202573436253115648102772111299097140150533530438536653887554689360445249765241486674655907/8619517373639749278158260849596882853807847076301951252493966782121182381306350302154449498475270898079333241648871009775430476243297264733454295047864275*t^19 - 1722734140647064807658239355186402868484460131858805163487435205433741850135663414751786483890192597915123501257577889105263822472840161786275477904503793879/34024410685420062940098398090514011265030975301191912838791974139952035715682961719030721704507648281892104901245543459639857143065647097632056427820516875*t^17 + 56665765613227314251156669284047326908092809982722784219259649182959153051421933690938506398136476583061489273979971124956559874215110686775481775680226914537/2707942803374902656350184271556791602446288798971332827699149471256182607254061600344033321541108713258824584199130605934866277327518854299774843931832901875*t^15 - 1129122296629888099534605029770030690561849155395573867774550672131463564315975830380537043905856777985297989836778691135350076324785061787278355128482102267/180529520224993510423345618103786106829752586598088855179943298083745507150270773356268888102740580883921638946608707062324418488501256953318322928788860125*t^13 + 14029613917698200029008810985054130580363974261030057720850399201807450013261755911581702279734918416916053477267692082488568860434976043373083478099575923/10619383542646677083726212829634476872338387446946403245879017534337971008839457256251111064867092993171861114506394533077906969911838644312842525222874125*t^11 - 16816092000507475598130501233329041372181825175382183446324147422023376257732386674413241650025596108755177544834640516200708172868154420706315284822693203/88623582655905905116915121614585906989151269784516347088335800877475067146496561465804726886799921524834259119244274376050169076173344322538085801405440425*t^9 + 498446629819059792003359336171205612244082667717346726162172139898929839318035479226413997502248862995141399350250049010090708589286421004911669545408681/28625188196352036536471292511171158588227154323164194795974095890657321429746951377843904033204109019649308501047892240326282001347979432344342959110284375*t^7 - 26058335908735976303001340212800536330194408123856927215922032929661142783444318392183958654437740274727342631672404138801820811803278545788969065180999153/28310311126192164134570108293548275843756655625609388653218380835860090894019734912687621088838863820433166107536365425682692899333151658588555186560071246875*t^5 + 4323021104980617385207915209872404554439860705243889139229355013820142317685034855004468686366247017917990318782711215848105716317590393816353209545444309/186848053432868283288162714737418620568793927129021965111241313516676599900530250423738299186336501214858896309740011809505773135598800946684464231296470229375*t^3 - 9065800953531016069547766548808764485349323474853095849853238320490190021022665519228143109609326811980450021495639687149020343248538722101275089983679/51450913264123150470653501159579040446479487180455323726283839953867469537827170406536633109281065551917667099783481512762459269222858231695722034704825135625*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:
| (-0.99909812496766759766 + 6.2071565317122808019e-430j)  +/-  (3.99e-116, 3.99e-116j)
| (-0.99383196321275502221 + 2.9073263668291340157e-436j)  +/-  (7.27e-116, 7.27e-116j)
| (-0.92965485742974005667 - 1.7123379709485896733e-438j)  +/-  (1.2e-116, 1.2e-116j)
| (0.99909812496766759766 - 3.2925669967635057096e-435j)  +/-  (3.98e-116, 3.98e-116j)
| (0.92965485742974005667 - 8.5578067282120734387e-444j)  +/-  (1.34e-116, 1.34e-116j)
| (0.96049126870802028342 - 8.1785935708297961505e-448j)  +/-  (3.12e-116, 3.12e-116j)
| (0.99383196321275502221 - 5.9041450078882281671e-459j)  +/-  (7.38e-116, 7.38e-116j)
| (-0.8367259381688687355 + 1.7101388191640074591e-478j)  +/-  (7.8e-118, 7.8e-118j)
| (-0.98153114955374010687 + 3.4977365548012059213e-476j)  +/-  (6.35e-116, 6.35e-116j)
| (0.98153114955374010687 - 2.6352081067630126513e-480j)  +/-  (5.71e-116, 5.71e-116j)
| (0.8367259381688687355 - 9.9589605565561511454e-492j)  +/-  (7.67e-118, 7.67e-118j)
| (0.88845923287225699889 - 8.9377021736567595917e-496j)  +/-  (3.34e-117, 3.34e-117j)
| (-0.96049126870802028342 + 4.3914590376650097909e-491j)  +/-  (2.96e-116, 2.96e-116j)
| (-0.88845923287225699889 - 2.2550826649560932692e-493j)  +/-  (3.34e-117, 3.34e-117j)
| (-1.5049780083069227865e-516 - 4.9268428281733134382e-517j)  +/-  (4.91e-515, 4.91e-515j)
| (0.77459666924148337704 + 2.9798410449034646527e-497j)  +/-  (1.35e-118, 1.35e-118j)
| (0.53131974364437562397 + 3.1670593047720047799e-502j)  +/-  (1.44e-121, 1.44e-121j)
| (-0.33113539325797683309 - 1.3190885624955869083e-501j)  +/-  (5.04e-124, 5.04e-124j)
| (-0.70249620649152707861 + 3.3072756595650999899e-495j)  +/-  (1.72e-119, 1.72e-119j)
| (-0.434243749346802558 + 5.4820622390326287418e-500j)  +/-  (8.83e-123, 8.83e-123j)
| (0.434243749346802558 + 1.7539189819013536701e-501j)  +/-  (9.02e-123, 9.02e-123j)
| (0.70249620649152707861 - 1.4743739435656257454e-498j)  +/-  (1.76e-119, 1.76e-119j)
| (0.11248894313318662575 - 1.2875573134676368335e-504j)  +/-  (9.12e-127, 9.12e-127j)
| (-0.53131974364437562397 - 3.2542248026611612576e-498j)  +/-  (1.56e-121, 1.56e-121j)
| (-0.77459666924148337704 - 2.9869057014160652941e-498j)  +/-  (1.3e-118, 1.3e-118j)
| (0.22338668642896688163 - 8.6529131878631061104e-507j)  +/-  (2.35e-125, 2.35e-125j)
| (0.62110294673722640294 + 2.8205386640051815296e-504j)  +/-  (1.76e-120, 1.76e-120j)
| (0.33113539325797683309 - 6.0671831141553758501e-507j)  +/-  (5.5e-124, 5.5e-124j)
| (-0.11248894313318662575 + 1.2253785825853138942e-507j)  +/-  (1.13e-126, 1.13e-126j)
| (-0.62110294673722640294 - 1.6635547748070438205e-502j)  +/-  (1.89e-120, 1.89e-120j)
| (-0.22338668642896688163 + 4.1137007232347544963e-508j)  +/-  (2.35e-125, 2.35e-125j)
-------------------------------------------------
The weights are:
| (0.0025447807915618744154 + 5.2254307757711437354e-430j)  +/-  (1.8e-24, 3.55e-78j)
| (0.0084345657393211062463 - 6.7728389082477566409e-430j)  +/-  (1.32e-24, 2.6e-78j)
| (0.035957103307129322097 + 3.1634465225619255379e-431j)  +/-  (8.93e-26, 1.76e-79j)
| (0.0025447807915618744154 + 7.9327681744028058138e-433j)  +/-  (1.89e-25, 3.73e-79j)
| (0.035957103307129322097 + 1.1391421740159277713e-432j)  +/-  (6.34e-26, 1.25e-79j)
| (0.025807598096176653565 - 1.5193002726450935269e-432j)  +/-  (5.18e-26, 1.02e-79j)
| (0.0084345657393211062463 - 1.7932608621965438758e-432j)  +/-  (5.43e-26, 1.07e-79j)
| (0.056979509494123357412 + 7.016097949012881616e-432j)  +/-  (2.98e-28, 5.87e-82j)
| (0.016446049854387810934 + 2.0985468121610547749e-430j)  +/-  (6.84e-27, 1.35e-80j)
| (0.016446049854387810934 + 1.8623967696523200084e-432j)  +/-  (2.66e-26, 5.24e-80j)
| (0.056979509494123357412 + 6.2058615804769134828e-433j)  +/-  (5.25e-29, 1.03e-82j)
| (0.046462893261757986541 - 8.3678810573271836966e-433j)  +/-  (2.4e-28, 4.72e-82j)
| (0.025807598096176653565 - 7.7095205355550087273e-431j)  +/-  (3.67e-28, 7.24e-82j)
| (0.046462893261757986541 - 1.427475417553652064e-431j)  +/-  (4e-29, 7.89e-83j)
| (0.11275525672076869161 - 2.4443460039617061081e-433j)  +/-  (1.34e-32, 2.65e-86j)
| (0.06720775429599070354 - 4.7205007168627013484e-433j)  +/-  (2.99e-30, 5.89e-84j)
| (0.093627109981264473617 + 2.60530393496773929e-433j)  +/-  (3.4e-32, 6.69e-86j)
| (0.10566989358023480974 + 4.3651693044453399539e-433j)  +/-  (2.51e-33, 4.95e-87j)
| (0.076879620499003531043 + 2.1319364087133714608e-432j)  +/-  (8.49e-33, 1.67e-86j)
| (0.10031427861179557877 - 5.9217652045458807495e-433j)  +/-  (1.98e-33, 3.91e-87j)
| (0.10031427861179557877 - 2.3336882151048781038e-433j)  +/-  (8.45e-34, 1.67e-87j)
| (0.076879620499003531043 + 3.7162506167325331344e-433j)  +/-  (5.78e-33, 1.14e-86j)
| (0.11195687302095345688 + 2.2407644081201897642e-433j)  +/-  (1.48e-34, 2.92e-88j)
| (0.093627109981264473617 + 8.5235681858345311713e-433j)  +/-  (1.68e-34, 3.32e-88j)
| (0.06720775429599070354 - 3.7293219553569820833e-432j)  +/-  (1.37e-33, 2.7e-87j)
| (0.10957842105592463824 - 2.1616295960076535187e-433j)  +/-  (4.52e-35, 8.91e-89j)
| (0.085755920049990351154 - 3.0447528665896962599e-433j)  +/-  (2.08e-34, 4.1e-88j)
| (0.10566989358023480974 + 2.1919410546770518415e-433j)  +/-  (4.45e-35, 8.77e-89j)
| (0.11195687302095345688 + 2.8093536133787630375e-433j)  +/-  (2.04e-36, 4.04e-90j)
| (0.085755920049990351154 - 1.3050446209768666333e-432j)  +/-  (2.24e-36, 4.88e-90j)
| (0.10957842105592463824 - 3.4066097445946591375e-433j)  +/-  (1.22e-36, 2.34e-90j)
