Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 5 44
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Trying to find an order 5 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 44 Kronrod extension for:
P2 : 4*t^7 - 106/3*t^5 + 215/3*t^3 - 55/2*t
Solvable: 1
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Ending with final polynomial:
P : 4*t^51 - 1005602208226355264863399521925600079452611046394881794120863277946/441205073237585111427986598071543479440417793326604661306488215*t^49 + 1578648344836693772765510286824389712465748760765073651756033524771339/2647230439425510668567919588429260876642506759959627967838929290*t^47 - 503867042966654807842557410376747824396673842085911962738813493936065801/5294460878851021337135839176858521753285013519919255935677858580*t^45 + 2442320492300985512437979835094949247982001421045204714070626175476797009/235309372393378726094926185638156522368222823107522486030127048*t^43 - 9429091354233355031527991495031583927646842827348282245342427198885465751/11478505970408718346093960275032025481376723078415731025859856*t^41 + 1122695456505320414296696019614199303262168053123764658509494574071168080233/22957011940817436692187920550064050962753446156831462051719712*t^39 - 102864654767907028028524881724921997713096609682385776580269122840769024019099/45914023881634873384375841100128101925506892313662924103439424*t^37 + 7358912885180672359380219917173250546849355472340251618576003897967460566361081/91828047763269746768751682200256203851013784627325848206878848*t^35 - 414777971664272962311676291438951672762847650279877540245713829824128710409224215/183656095526539493537503364400512407702027569254651696413757696*t^33 + 9254435879929143477638519776476018511091857215662559690204510782845868693610380955/183656095526539493537503364400512407702027569254651696413757696*t^31 - 327436308925677321056070661482031501009178932193023187407841986871272754205504433065/367312191053078987075006728801024815404055138509303392827515392*t^29 + 9172624170635292761088268343119128239022270991648846358983400634191291698626662741445/734624382106157974150013457602049630808110277018606785655030784*t^27 - 202595193177776064810482061291945960611090434717381661527632653783114151947108185282155/1469248764212315948300026915204099261616220554037213571310061568*t^25 + 3503515113744404513682514953241690798866056186857441444231891709555390205693523507133625/2938497528424631896600053830408198523232441108074427142620123136*t^23 - 46967162539282914228537165325081273169099960985083571215453007008186421343621787408278875/5876995056849263793200107660816397046464882216148854285240246272*t^21 + 240817352237233470261080518108019398307539286918342057640279813884708866574686404530296125/5876995056849263793200107660816397046464882216148854285240246272*t^19 - 1856740398550340787592204414966204247648939795113778036854762433541750853755739155889019625/11753990113698527586400215321632794092929764432297708570480492544*t^17 + 42116610256241757962203702323850437178982826588543882906261416564058781201408511564071870875/94031920909588220691201722573062352743438115458381668563843940352*t^15 - 170829067366143724909574776874798516776125015505559465161527695580501543283320396940118105625/188063841819176441382403445146124705486876230916763337127687880704*t^13 + 478443700645597413324555951381348023304569186064074054638290237438917310499473830846786488125/376127683638352882764806890292249410973752461833526674255375761408*t^11 - 884839217779094461151583205591670638725305015574576249854656083853450494439105826414928451875/752255367276705765529613780584498821947504923667053348510751522816*t^9 + 1019735435000173567567120060098283728257090768966904321912110976940879198724858053717858543125/1504510734553411531059227561168997643895009847334106697021503045632*t^7 - 673858582897466298140717704369352787723460028257109961088543289073291498794044050963328269375/3009021469106823062118455122337995287790019694668213394043006091264*t^5 + 218723989830113167227044348670347886187337668236811373747945748063243474216680227475279090625/6018042938213646124236910244675990575580039389336426788086012182528*t^3 - 22941860727408634407145518307317406655924897303854607634057799027572598365988321418988909375/12036085876427292248473820489351981151160078778672853576172024365056*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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   49 out of 51
Indefinite weights: 0 out of 51
Negative weights:   2 out of 51
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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