9 z1**2 + z2**2 + z3**2 - 12*z1 - 68; z4**2 + z5**2 + z6**2 - 12*z5 - 68; z7**2 + z8**2 + z9**2 - 24*z8 - 12*z9 + 100; z1*z4 + z2*z5 + z3*z6 - 6*z1 - 6*z5 - 52; z1*z7 + z2*z8 + z3*z9 - 6*z1 - 12*z8 - 6*z9 + 64; z4*z7 + z5*z8 + z6*z9 - 6*z5 - 12*z8 - 6*z9 + 32; 2*z2 + 2*z3 - z4 - z5 - 2*z6 - z7 - z9 + 18; z1 + z2 + 2*z3 + 2*z4 + 2*z6 - 2*z7 + z8 - z9 - 38; z1 + z3 - 2*z4 + z5 - z6 + 2*z7 - 2*z8 + 8; TITLE : robot kinematics problem ROOT COUNTS : total degree : 64 mixed volume : 64 REFERENCES : Bellido, A.M.:" Construction de fonctions d'iteration pour le calcul simultane des solutions d'equations et de systemes d'equations algebriques", These 1992, Universite Paul Sabatier, Toulouse. Anne-Mercedes Bellido: "Construction of iteration functions for the simultaneous computation of the solutions of equations and algebraic systems" Numerical Algorithms Vo. 6, Nos 3-4, pages 317--351, 1992. THE SOLUTIONS : 40 9 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -3.68469508248855E+00 -1.03023078230454E+01 z2 : 1.67108491564690E+01 -1.03023078230454E+01 z3 : 7.02615407398042E+00 1.03023078230454E+01 z4 : -1.83667011110269E-01 -8.29282378138198E+00 z5 : 1.85469966608636E+01 -8.29282378138196E+00 z6 : 1.23633296497533E+01 8.29282378138197E+00 z7 : 6.47926249974247E+00 -4.89281831998272E+00 z8 : 1.54254925121538E+01 -4.89281831998271E+00 z9 : 1.59047550118963E+01 4.89281831998272E+00 == err : 4.246E-14 = rco : 4.038E-03 = res : 7.246E-14 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 9.35421211541972E+01 -7.82046855687843E+01 z2 : -1.02747683363043E+02 -7.82046855687731E+01 z3 : -1.52055622088319E+01 7.82046855687808E+01 z4 : -7.06696973949775E+01 4.97255418893418E+01 z5 : 4.52450503365046E+01 4.97255418893251E+01 z6 : -3.14246470584928E+01 -4.97255418893309E+01 z7 : -9.19351251778106E+01 6.48290261982557E+01 z8 : 6.02377003873483E+01 6.48290261982402E+01 z9 : -3.76974247904809E+01 -6.48290261982453E+01 == err : 1.956E-11 = rco : 4.764E-05 = res : 4.067E-12 == solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.61040212584557E+01 -4.44940404124784E+00 z2 : -2.78764310386565E+00 -4.44940404124784E+00 z3 : 7.31637815459007E+00 4.44940404124784E+00 z4 : 1.20915883240045E+01 -7.32387045771528E+00 z5 : -4.82111997017385E+00 -7.32387045771527E+00 z6 : 1.27046835383069E+00 7.32387045771528E+00 z7 : 7.55774927314689E+00 1.37789246452863E+00 z8 : 8.13056649366298E+00 1.37789246452863E+00 z9 : 9.68831576680987E+00 -1.37789246452863E+00 == err : 4.438E-14 = rco : 8.943E-03 = res : 4.019E-14 == solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 5.53641329934702E+00 8.48969913640004E-73 z2 : -4.87294036018169E+00 -5.92510252227920E-73 z3 : 8.94648196874559E+00 1.23808112405834E-73 z4 : 5.12028097886163E+00 -3.18363717615002E-73 z5 : 3.23278699546905E-01 -3.89111210418335E-73 z6 : 6.74963391410896E+00 -1.41494985606667E-73 z7 : 2.06007289760102E-01 -1.37957610966501E-72 z8 : 3.11399633766375E+00 -5.30606196025003E-73 z9 : 6.99824842074125E+00 1.69793982728001E-72 == err : 6.171E-15 = rco : 1.793E-02 = res : 7.105E-15 == solution 5 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.20000000000000E+01 4.74778387287990E-66 z2 : 8.00000000000000E+00 -3.85757439671492E-66 z3 : 2.00000000000000E+00 4.15431088876991E-66 z4 : 8.00000000000000E+00 8.30862177753982E-66 z5 : 1.20000000000000E+01 -2.96736492054994E-66 z6 : 2.00000000000000E+00 -4.74778387287990E-66 z7 : 8.00000000000000E+00 4.45104738082491E-66 z8 : 1.60000000000000E+01 1.14985390671310E-66 z9 : 6.00000000000000E+00 -1.78041895232996E-66 == err : 1.147E-14 = rco : 6.127E-03 = res : 1.066E-14 == solution 6 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.42827180423885E+01 5.95261233868538E-02 z2 : 5.64673356266950E+00 -2.53906618978382E-02 z3 : -1.88404205582819E+00 1.85592350431432E-01 z4 : 1.00754688667224E+01 3.01161074959752E-03 z5 : 6.77123758722923E+00 -1.30390229276235E+00 z6 : 1.95910954648918E+00 4.97815484414425E-01 z7 : 4.77029659723320E+00 1.44976631718986E-02 z8 : 7.30022974416097E+00 -7.66813599256941E-01 z9 : -9.83913048059689E-03 6.11165427079187E-01 == err : 2.119E-14 = rco : 1.882E-02 = res : 1.456E-14 == solution 7 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 2.72650780838839E+00 3.53737464016668E-74 z2 : 2.58247618222550E+00 2.12242478410001E-73 z3 : 9.30672153014668E+00 7.07474928033337E-74 z4 : 7.40451399057121E+00 3.36050590815835E-73 z5 : 4.63684415828654E+00 -4.24484956820002E-73 z6 : 6.87858842457067E+00 -1.41494985606667E-73 z7 : 8.64577820574236E+00 1.34862408156355E-73 z8 : 1.01370067512966E+01 -5.30606196025003E-74 z9 : 7.33408222100292E+00 8.48969913640004E-73 == err : 1.185E-14 = rco : 2.493E-02 = res : 2.842E-14 == solution 8 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 2.44878816897203E+00 5.49462032769357E+00 z2 : 1.11472626376005E+01 5.49462032769357E+00 z3 : 7.59605080657258E+00 -5.49462032769357E+00 z4 : 7.76663986507604E+00 3.17261924577888E+00 z5 : 6.79190714458760E+00 3.17261924577888E+00 z6 : 8.55854700966364E+00 -3.17261924577888E+00 z7 : 9.81284205639903E+00 5.27747740458293E+00 z8 : 1.01853017465573E+01 5.27747740458293E+00 z9 : 1.39981438029563E+01 -5.27747740458292E+00 == err : 4.817E-14 = rco : 1.820E-02 = res : 6.551E-14 == solution 9 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 4.56300127145797E+00 5.26142187986853E-01 z2 : 7.23814180470698E+00 2.75144173790136E-01 z3 : 7.06593516262580E+00 -1.74848319865335E-01 z4 : 4.11719423003259E-01 -7.41014799845812E-01 z5 : 1.14127916231639E+01 -1.44975490673937E+00 z6 : 8.83372743870138E+00 9.22862003298056E-01 z7 : 2.55529290854252E+00 9.11037107334139E-01 z8 : 1.32475737948124E+01 6.41390386221998E-01 z9 : 1.45608951025532E+01 -3.65399699495471E-01 == err : 2.950E-14 = rco : 1.394E-02 = res : 1.785E-14 == solution 10 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 4.56300127145797E+00 -5.26142187986857E-01 z2 : 7.23814180470698E+00 -2.75144173790140E-01 z3 : 7.06593516262580E+00 1.74848319865338E-01 z4 : 4.11719423003255E-01 7.41014799845810E-01 z5 : 1.14127916231639E+01 1.44975490673937E+00 z6 : 8.83372743870138E+00 -9.22862003298057E-01 z7 : 2.55529290854251E+00 -9.11037107334140E-01 z8 : 1.32475737948124E+01 -6.41390386221997E-01 z9 : 1.45608951025532E+01 3.65399699495470E-01 == err : 2.945E-14 = rco : 1.394E-02 = res : 1.819E-14 == solution 11 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -9.74738381556055E+01 2.80519127586352E+01 z2 : -4.22119935001375E+00 -1.18442293229972E+02 z3 : 7.27101841606437E+01 3.30444844457730E+01 z4 : 2.80662771511584E+01 7.96108728678589E+01 z5 : -8.86752602899019E+01 -3.40630181603043E+01 z6 : 6.70042291244596E+01 -8.14770351674493E+01 z7 : 5.86780359117837E+01 3.14330688865303E+01 z8 : -5.56098129440363E+01 6.07740312444804E+00 z9 : 2.29004585993005E+01 -8.48224708275845E+01 == err : 1.219E-11 = rco : 9.306E-05 = res : 3.750E-12 == solution 12 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -9.74738381556090E+01 -2.80519127586386E+01 z2 : -4.22119935001655E+00 1.18442293229977E+02 z3 : 7.27101841606473E+01 -3.30444844457729E+01 z4 : 2.80662771511630E+01 -7.96108728678624E+01 z5 : -8.86752602899076E+01 3.40630181603015E+01 z6 : 6.70042291244596E+01 8.14770351674553E+01 z7 : 5.86780359117880E+01 -3.14330688865311E+01 z8 : -5.56098129440394E+01 -6.07740312445136E+00 z9 : 2.29004585992988E+01 8.48224708275891E+01 == err : 6.120E-12 = rco : 9.306E-05 = res : 2.728E-12 == solution 13 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 4.05869794098042E+00 -6.52820282520986E-66 z2 : 7.23545859015342E+00 -6.82493931726486E-66 z3 : 6.91950036533140E+00 5.71217747205863E-66 z4 : 3.46251850511909E+00 -2.96736492054994E-66 z5 : 1.28568252839609E+01 -1.75074530312446E-65 z6 : 6.70782473138215E+00 8.79081857712919E-66 z7 : 7.09141318451992E+00 -1.78041895232996E-66 z8 : 1.61924941088461E+01 -1.21661961742547E-65 z9 : 9.48351147460542E+00 2.67062842849494E-66 == err : 2.867E-14 = rco : 2.173E-02 = res : 3.730E-14 == solution 14 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 2.44878816897203E+00 -5.49462032769357E+00 z2 : 1.11472626376005E+01 -5.49462032769357E+00 z3 : 7.59605080657258E+00 5.49462032769357E+00 z4 : 7.76663986507603E+00 -3.17261924577888E+00 z5 : 6.79190714458760E+00 -3.17261924577888E+00 z6 : 8.55854700966364E+00 3.17261924577888E+00 z7 : 9.81284205639902E+00 -5.27747740458293E+00 z8 : 1.01853017465573E+01 -5.27747740458293E+00 z9 : 1.39981438029563E+01 5.27747740458292E+00 == err : 5.323E-14 = rco : 1.820E-02 = res : 4.936E-14 == solution 15 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 4.00000000000000E+00 2.26391976970668E-72 z2 : 1.39142060664159E-15 6.79175930912004E-72 z3 : 1.00000000000000E+01 3.39587965456002E-72 z4 : -6.87259849385174E-16 -5.51830443866003E-72 z5 : 4.00000000000000E+00 2.26391976970668E-72 z6 : 1.00000000000000E+01 1.13195988485334E-72 z7 : -1.08512558786259E-16 2.26391976970668E-72 z8 : 8.00000000000000E+00 4.52783953941336E-72 z9 : 1.40000000000000E+01 3.39587965456002E-72 == err : 2.469E-15 = rco : 6.814E-03 = res : 1.776E-14 == solution 16 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 5.40619599576520E+00 1.24614266441373E-01 z2 : 8.08133652901422E+00 3.75612280638087E-01 z3 : 6.22274043831857E+00 -4.75908134562888E-01 z4 : 2.41786368469274E+00 -1.33473967340968E+00 z5 : 1.34189358848534E+01 -6.25999566516127E-01 z6 : 6.82758317701188E+00 1.15289246995744E+00 z7 : 5.72731184134135E+00 3.67514354700267E-01 z8 : 1.64195927276112E+01 6.37161075812410E-01 z9 : 1.13888761697543E+01 -9.13151762538933E-01 == err : 4.745E-14 = rco : 8.597E-03 = res : 3.310E-14 == solution 17 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 5.14226049711212E+00 -4.10683305004111E-64 z2 : 8.31902114628513E+00 -4.89021738906630E-64 z3 : 5.83593780919970E+00 6.59941958330306E-64 z4 : 1.05483913332051E+00 -5.12760658271029E-64 z5 : 1.04491459121623E+01 1.39584845862669E-63 z6 : 9.11550410318073E+00 -3.79822709830392E-64 z7 : 1.89114930534616E+00 -1.85163571042316E-64 z8 : 1.09922302296724E+01 1.36024007958009E-63 z9 : 1.46837753537792E+01 4.17804980813431E-64 == err : 4.483E-14 = rco : 1.842E-02 = res : 3.153E-14 == solution 18 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -3.88615154061168E+00 2.73491334327099E+00 z2 : 6.82310611376751E+00 -9.54048138361581E-01 z3 : 4.60388797528157E+00 7.28674103883895E+00 z4 : 8.58474610527329E+00 6.25484719099953E+00 z5 : 1.26823271616374E+01 -2.41643607011908E+00 z6 : 7.47354470972616E+00 -5.02423684271657E+00 z7 : -4.62879573014538E+00 2.31775103199829E+00 z8 : -6.25028239212810E+00 2.37763141835248E+00 z9 : 9.26862122188053E+00 1.65576973335091E+01 == err : 1.714E-14 = rco : 6.148E-03 = res : 9.244E-14 == solution 19 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -1.85820813930416E+00 -1.53020119979985E-01 z2 : 6.32107948031340E+00 -1.53020119979984E-01 z3 : -1.53712865899076E+00 1.53020119979990E-01 z4 : -2.01282313175911E+01 2.25829925113547E+01 z5 : 3.87164456531032E+01 2.25829925113547E+01 z6 : 1.25882143355121E+01 -2.25829925113547E+01 z7 : -1.52304733137101E+01 9.46560962193051E+00 z8 : 2.02642052635291E+01 9.46560962193048E+00 z9 : -9.66268050180990E-01 -9.46560962193049E+00 == err : 5.506E-14 = rco : 3.441E-03 = res : 2.344E-13 == solution 20 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.00394769148579E+00 -1.64143627837773E-01 z2 : 5.73962625368213E+00 -6.75692367623593E-01 z3 : 6.83955975305397E+00 4.47126951478520E-01 z4 : 5.80260963589912E+00 2.79761381330475E-01 z5 : 8.57900270685898E+00 -1.32615246317194E+00 z6 : 8.09720043081136E+00 2.21904437283076E-01 z7 : 8.69613409933658E+00 -5.61108225590697E-02 z8 : 1.10561793237312E+01 -9.68408992296680E-01 z9 : 3.88622470975481E+00 2.01562197544236E-01 == err : 4.072E-14 = rco : 5.079E-03 = res : 2.843E-14 == solution 21 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 2.27963096219088E+01 -1.10341822703378E+02 z2 : 1.16048948427497E+02 3.61523832852386E+01 z3 : -4.75599636168687E+01 4.92454254989663E+01 z4 : 1.17141751993297E+02 5.07238704881854E+00 z5 : 4.00214552224955E-01 1.18746278076977E+02 z6 : -2.20712457176754E+01 -3.20622474922286E+00 z7 : 7.58995263328192E+01 5.01222263391852E+01 z8 : -3.83883225230080E+01 7.54778921012607E+01 z9 : 5.67896817826597E+00 3.26717560187468E+00 == err : 8.847E-12 = rco : 1.033E-04 = res : 3.750E-12 == solution 22 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 2.27963096219051E+01 1.10341822703373E+02 z2 : 1.16048948427492E+02 -3.61523832852338E+01 z3 : -4.75599636168649E+01 -4.92454254989650E+01 z4 : 1.17141751993290E+02 -5.07238704881292E+00 z5 : 4.00214552231019E-01 -1.18746278076970E+02 z6 : -2.20712457176743E+01 3.20622474922002E+00 z7 : 7.58995263328156E+01 -5.01222263391789E+01 z8 : -3.83883225230016E+01 -7.54778921012570E+01 z9 : 5.67896817826573E+00 -3.26717560187626E+00 == err : 5.320E-12 = rco : 1.033E-04 = res : 3.666E-12 == solution 23 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 9.35421211541959E+01 7.82046855687887E+01 z2 : -1.02747683363048E+02 7.82046855687708E+01 z3 : -1.52055622088295E+01 -7.82046855687831E+01 z4 : -7.06696973949763E+01 -4.97255418893492E+01 z5 : 4.52450503365109E+01 -4.97255418893227E+01 z6 : -3.14246470584973E+01 4.97255418893320E+01 z7 : -9.19351251778096E+01 -6.48290261982627E+01 z8 : 6.02377003873541E+01 -6.48290261982381E+01 z9 : -3.76974247904851E+01 6.48290261982461E+01 == err : 1.250E-11 = rco : 4.764E-05 = res : 5.476E-12 == solution 24 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 5.06793823007650E+00 -6.93831670122138E-01 z2 : 9.80361679227283E+00 -1.82282930336328E-01 z3 : 2.77556921446327E+00 4.10848346481397E-01 z4 : 5.61300169460129E+00 -1.12529172741348E+00 z5 : 8.38939476556115E+00 4.80622117088904E-01 z6 : 8.28680837210918E+00 6.23625908799939E-01 z7 : 2.11874162379462E+00 -7.61277185707573E-01 z8 : 4.47878684818920E+00 1.51020984030020E-01 z9 : 1.04636171852968E+01 6.15825810722410E-01 == err : 4.057E-14 = rco : 4.639E-03 = res : 1.424E-14 == solution 25 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 3.74038893513104E+00 1.60497382681799E-01 z2 : -4.89559554458797E+00 7.55805973971067E-02 z3 : 8.65828705142928E+00 8.46210911364882E-02 z4 : 4.15040426174744E+00 1.20214905503439E+00 z5 : 8.46172982254250E-01 -1.04764848477564E-01 z6 : 7.88417415146416E+00 -7.01321959870362E-01 z7 : 7.16719615983358E-01 9.23485238614725E-01 z8 : 3.24665276291112E+00 1.42173976185880E-01 z9 : 4.04373785076925E+00 -2.97822148363636E-01 == err : 3.352E-15 = rco : 1.608E-02 = res : 1.066E-14 == solution 26 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.42827180423885E+01 -5.95261233868534E-02 z2 : 5.64673356266950E+00 2.53906618978376E-02 z3 : -1.88404205582819E+00 -1.85592350431432E-01 z4 : 1.00754688667224E+01 -3.01161074959748E-03 z5 : 6.77123758722923E+00 1.30390229276235E+00 z6 : 1.95910954648918E+00 -4.97815484414426E-01 z7 : 4.77029659723320E+00 -1.44976631718978E-02 z8 : 7.30022974416097E+00 7.66813599256944E-01 z9 : -9.83913048059608E-03 -6.11165427079189E-01 == err : 2.129E-14 = rco : 1.882E-02 = res : 1.422E-14 == solution 27 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.89849119294416E+01 8.26845033136603E+00 z2 : -1.17929232046803E+01 8.26845033136606E+00 z3 : 1.19198872476124E+00 -8.26845033136604E+00 z4 : 7.07665887419976E+00 -3.11998546261923E-01 z5 : -1.35758185386441E+00 -3.11998546261923E-01 z6 : -2.80922979664661E-01 3.11998546261934E-01 z7 : -2.94418734554868E+00 -6.60105188896252E+00 z8 : 3.52927467025313E+00 -6.60105188896253E+00 z9 : -5.41491267529555E+00 6.60105188896253E+00 == err : 5.834E-14 = rco : 2.141E-03 = res : 5.859E-14 == solution 28 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -3.68469508248855E+00 1.03023078230454E+01 z2 : 1.67108491564690E+01 1.03023078230454E+01 z3 : 7.02615407398044E+00 -1.03023078230454E+01 z4 : -1.83667011110283E-01 8.29282378138198E+00 z5 : 1.85469966608636E+01 8.29282378138196E+00 z6 : 1.23633296497533E+01 -8.29282378138197E+00 z7 : 6.47926249974246E+00 4.89281831998273E+00 z8 : 1.54254925121538E+01 4.89281831998271E+00 z9 : 1.59047550118963E+01 -4.89281831998273E+00 == err : 5.993E-14 = rco : 4.038E-03 = res : 8.556E-14 == solution 29 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.89849119294416E+01 -8.26845033136605E+00 z2 : -1.17929232046804E+01 -8.26845033136606E+00 z3 : 1.19198872476125E+00 8.26845033136605E+00 z4 : 7.07665887419975E+00 3.11998546261924E-01 z5 : -1.35758185386441E+00 3.11998546261925E-01 z6 : -2.80922979664663E-01 -3.11998546261929E-01 z7 : -2.94418734554869E+00 6.60105188896253E+00 z8 : 3.52927467025313E+00 6.60105188896253E+00 z9 : -5.41491267529555E+00 -6.60105188896253E+00 == err : 6.450E-14 = rco : 2.141E-03 = res : 5.550E-14 == solution 30 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 50 the solution for t : z1 : -1.85820813930416E+00 1.53020119979985E-01 z2 : 6.32107948031340E+00 1.53020119979983E-01 z3 : -1.53712865899076E+00 -1.53020119979990E-01 z4 : -2.01282313175911E+01 -2.25829925113547E+01 z5 : 3.87164456531032E+01 -2.25829925113547E+01 z6 : 1.25882143355121E+01 2.25829925113547E+01 z7 : -1.52304733137101E+01 -9.46560962193051E+00 z8 : 2.02642052635291E+01 -9.46560962193048E+00 z9 : -9.66268050180990E-01 9.46560962193050E+00 == err : 6.154E-14 = rco : 3.441E-03 = res : 1.511E-13 == solution 31 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.61040212584557E+01 4.44940404124784E+00 z2 : -2.78764310386565E+00 4.44940404124784E+00 z3 : 7.31637815459007E+00 -4.44940404124784E+00 z4 : 1.20915883240045E+01 7.32387045771528E+00 z5 : -4.82111997017385E+00 7.32387045771527E+00 z6 : 1.27046835383069E+00 -7.32387045771528E+00 z7 : 7.55774927314689E+00 -1.37789246452863E+00 z8 : 8.13056649366298E+00 -1.37789246452863E+00 z9 : 9.68831576680987E+00 1.37789246452863E+00 == err : 4.442E-14 = rco : 8.943E-03 = res : 6.355E-14 == solution 32 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.50584193190672E+01 3.91736605659084E-74 z2 : 4.64906565953849E+00 -5.49951213588414E-74 z3 : -5.75524050974581E-01 4.42171830020836E-74 z4 : 9.99099713599525E+00 3.59264611891929E-75 z5 : 5.19399485668053E+00 -2.04504471384636E-74 z6 : 1.87891775697534E+00 -3.23338150702736E-74 z7 : 6.65817048530504E+00 7.73800702536462E-74 z8 : 9.56615953320869E+00 1.23808112405834E-73 z9 : 5.46085225196318E-01 -1.54760140507292E-74 == err : 8.886E-15 = rco : 1.511E-02 = res : 2.132E-14 == solution 33 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 5.06793823007650E+00 6.93831670122143E-01 z2 : 9.80361679227283E+00 1.82282930336329E-01 z3 : 2.77556921446327E+00 -4.10848346481400E-01 z4 : 5.61300169460129E+00 1.12529172741349E+00 z5 : 8.38939476556115E+00 -4.80622117088908E-01 z6 : 8.28680837210918E+00 -6.23625908799944E-01 z7 : 2.11874162379463E+00 7.61277185707578E-01 z8 : 4.47878684818921E+00 -1.51020984030021E-01 z9 : 1.04636171852968E+01 -6.15825810722414E-01 == err : 3.509E-14 = rco : 4.639E-03 = res : 2.493E-14 == solution 34 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 9.39166616807691E+00 -3.75846055517710E-74 z2 : 9.24763454191403E+00 4.42171830020836E-75 z3 : 2.64156317045815E+00 5.96931970528128E-74 z4 : 7.96266750771316E+00 -3.31628872515627E-74 z5 : 5.19499767542849E+00 -2.21085915010418E-74 z6 : 6.32043490742872E+00 3.53737464016668E-74 z7 : 5.01330971505166E+00 6.63257745031253E-75 z8 : 6.50453826060591E+00 3.09520281014585E-74 z9 : 1.09665507116936E+01 1.06121239205001E-73 == err : 1.683E-14 = rco : 2.406E-02 = res : 2.487E-14 == solution 35 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : -3.88615154061169E+00 -2.73491334327099E+00 z2 : 6.82310611376751E+00 9.54048138361583E-01 z3 : 4.60388797528157E+00 -7.28674103883895E+00 z4 : 8.58474610527328E+00 -6.25484719099953E+00 z5 : 1.26823271616374E+01 2.41643607011908E+00 z6 : 7.47354470972617E+00 5.02423684271657E+00 z7 : -4.62879573014538E+00 -2.31775103199829E+00 z8 : -6.25028239212811E+00 -2.37763141835247E+00 z9 : 9.26862122188052E+00 -1.65576973335091E+01 == err : 2.244E-14 = rco : 6.148E-03 = res : 4.780E-14 == solution 36 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 5.40619599576520E+00 -1.24614266441372E-01 z2 : 8.08133652901422E+00 -3.75612280638086E-01 z3 : 6.22274043831857E+00 4.75908134562887E-01 z4 : 2.41786368469274E+00 1.33473967340968E+00 z5 : 1.34189358848534E+01 6.25999566516127E-01 z6 : 6.82758317701188E+00 -1.15289246995744E+00 z7 : 5.72731184134135E+00 -3.67514354700267E-01 z8 : 1.64195927276112E+01 -6.37161075812410E-01 z9 : 1.13888761697543E+01 9.13151762538933E-01 == err : 4.777E-14 = rco : 8.597E-03 = res : 3.243E-14 == solution 37 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.22513739413881E+00 6.40549723255735E+00 z2 : 1.19343950485180E+01 2.71653575092478E+00 z3 : -5.07400959468927E-01 3.61615714955258E+00 z4 : 3.38906040048360E+00 3.46415215268184E-01 z5 : 7.48664145684772E+00 -8.32486804585042E+00 z6 : 1.26692304145158E+01 8.84195133014779E-01 z7 : 1.28030038326239E+01 1.02259609541039E+01 z8 : 1.11815171706412E+01 1.02858413404580E+01 z9 : -8.16317834088881E+00 8.64948741140354E+00 == err : 6.251E-14 = rco : 6.935E-03 = res : 5.684E-14 == solution 38 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 3.74038893513104E+00 -1.60497382681799E-01 z2 : -4.89559554458797E+00 -7.55805973971068E-02 z3 : 8.65828705142928E+00 -8.46210911364883E-02 z4 : 4.15040426174744E+00 -1.20214905503439E+00 z5 : 8.46172982254251E-01 1.04764848477564E-01 z6 : 7.88417415146416E+00 7.01321959870362E-01 z7 : 7.16719615983358E-01 -9.23485238614726E-01 z8 : 3.24665276291112E+00 -1.42173976185880E-01 z9 : 4.04373785076925E+00 2.97822148363636E-01 == err : 4.208E-15 = rco : 1.608E-02 = res : 2.487E-14 == solution 39 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.22513739413881E+00 -6.40549723255735E+00 z2 : 1.19343950485180E+01 -2.71653575092478E+00 z3 : -5.07400959468928E-01 -3.61615714955258E+00 z4 : 3.38906040048360E+00 -3.46415215268184E-01 z5 : 7.48664145684773E+00 8.32486804585042E+00 z6 : 1.26692304145158E+01 -8.84195133014780E-01 z7 : 1.28030038326239E+01 -1.02259609541039E+01 z8 : 1.11815171706412E+01 -1.02858413404580E+01 z9 : -8.16317834088882E+00 -8.64948741140353E+00 == err : 6.672E-14 = rco : 6.935E-03 = res : 6.395E-14 == solution 40 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : z1 : 1.00394769148579E+00 1.64143627837772E-01 z2 : 5.73962625368212E+00 6.75692367623589E-01 z3 : 6.83955975305398E+00 -4.47126951478517E-01 z4 : 5.80260963589912E+00 -2.79761381330474E-01 z5 : 8.57900270685898E+00 1.32615246317193E+00 z6 : 8.09720043081136E+00 -2.21904437283074E-01 z7 : 8.69613409933658E+00 5.61108225590697E-02 z8 : 1.10561793237312E+01 9.68408992296674E-01 z9 : 3.88622470975481E+00 -2.01562197544235E-01 == err : 4.106E-14 = rco : 5.079E-03 = res : 2.845E-14 ==