10
9*y2**2 - 5.656854249492381*y2 + z2;
x3^2 + y3^2 + z3^2 - 1;
x4^2 + y4^2 + z4^2 - 1;
y5^2 + z5^2 - 0.888888888888889;
x3 - 2.828427124746190*y2*x3 + y2*y3 + z2*z3 - 1/3;
x3*x4 + y3*y4 + z3*z4 - 1/3;
1/3*x4 + y4*y5 + z4*z5 - 1/3;
8/3 - 2.828427124746190*y2 + x3 + x4;
y2 + y3 + y4 + y5 + 0.8888888888888889;
z2 + z3 + z4 + z5;
TITLE : a stationary chemical kinetics problem
ROOT COUNTS :
total degree: 2^7 = 128
mixed volume : 128
REFERENCES :
SC 88-07 Herbert Melenk, H. Michael Moeller, Winfried Neun:
Symbolic Solution of Large Stationary Chemical Kinetics Problems.
Appeared in: IMPACT Comp. Sci. Eng. 1, p.138-167 (1989)
---------------------------------------------------------------------
| TIMING INFORMATION SUMMARY completed on juno at Oct 4 23:41 1997 |
---------------------------------------------------------------------
| root counts | start system | continuation | total time |
---------------------------------------------------------------------
| 0h 0m20s531ms | 0h 0m 0s 49ms | 0h35m49s801ms | 0h36m13s298ms |
---------------------------------------------------------------------
THE SOLUTIONS :
40 10
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 5.77801912303348E-01 -8.99942018323224E-02
z2 : 3.36736361496294E-01 4.26894711403881E-01
x3 : -3.48324479485186E-01 1.40337199126985E-01
y3 : -3.20212690867486E-01 -4.23916227334781E-01
z3 : 9.91567946089471E-01 -8.75991144747124E-02
x4 : -6.84071585692470E-01 -3.94879240659409E-01
y4 : -9.04560905956714E-01 4.45782688620387E-01
z4 : -4.14339580016195E-01 -3.21262874181979E-01
y5 : -2.41917204368037E-01 6.81277405467158E-02
z5 : -9.13964727569571E-01 -1.80327227471893E-02
== err : 9.103E-16 = rco : 4.067E-03 = res : 3.331E-16 ==
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 5.77801912303349E-01 8.99942018323224E-02
z2 : 3.36736361496294E-01 -4.26894711403881E-01
x3 : -3.48324479485186E-01 -1.40337199126985E-01
y3 : -3.20212690867485E-01 4.23916227334781E-01
z3 : 9.91567946089471E-01 8.75991144747120E-02
x4 : -6.84071585692470E-01 3.94879240659409E-01
y4 : -9.04560905956715E-01 -4.45782688620387E-01
z4 : -4.14339580016195E-01 3.21262874181980E-01
y5 : -2.41917204368037E-01 -6.81277405467160E-02
z5 : -9.13964727569571E-01 1.80327227471894E-02
== err : 6.855E-16 = rco : 4.067E-03 = res : 2.289E-16 ==
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 2.48494622054220E-01 5.28518322446067E-01
z2 : 3.36393621848544E+00 6.25739824134232E-01
x3 : -3.18437287570530E+00 1.75748327066103E+00
y3 : -1.61493279790853E+00 -2.93851870363747E+00
z3 : -9.15839089289067E-01 -9.29171766939522E-01
x4 : 1.22055513841034E+00 -2.62607711529219E-01
y4 : 5.39462234525212E-01 1.18314839095477E+00
z4 : -9.01283341842153E-01 3.52538062466319E-01
y5 : -6.19129475597903E-02 1.22685199023663E+00
z5 : -1.54681378735422E+00 -4.91061196610285E-02
== err : 3.892E-15 = rco : 8.899E-03 = res : 1.110E-15 ==
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -3.12083894143758E-01 -1.31877643006228E-01
z2 : -2.48545490111674E+00 -1.48683659609074E+00
x3 : -4.60009305687410E+00 -1.94165485028333E-01
y3 : -6.85675862587564E-01 -5.13012763671956E+00
z3 : -2.84967519881404E+00 1.54781990378800E+00
x4 : 1.05071983881481E+00 -1.78840817598078E-01
y4 : 8.73845348013720E-01 1.93696291376359E+00
z4 : 1.88503683848710E+00 -7.98230785577061E-01
y5 : -7.64974480171288E-01 3.32504236596219E+00
z5 : 3.45009326144368E+00 7.37247477879796E-01
== err : 4.859E-15 = rco : 5.864E-03 = res : 3.662E-15 ==
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 3.56084436869912E-03 -3.36295182586275E-01
z2 : 1.03787910956192E+00 -1.88081792616860E+00
x3 : -1.09126098230112E+00 -8.86066956320259E-02
y3 : 6.71709768715556E-01 1.80534856809194E-01
z3 : -2.65831272703557E-01 8.19918794390002E-01
x4 : -1.56533409556612E+00 -8.62579720716468E-01
y4 : -5.85118926361920E-01 1.97499883413067E-01
z4 : -9.10537501236221E-01 1.35597328563167E+00
y5 : -9.79040575611224E-01 -4.17395576359855E-02
z5 : 1.38489664377856E-01 -2.95074153853081E-01
== err : 4.955E-15 = rco : 9.877E-03 = res : 8.006E-16 ==
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 4.34069702667357E-01 -1.54519209802205E-51
z2 : 7.59720481146183E-01 6.93248346680163E-51
x3 : -9.92421004965778E-01 -2.33866912133067E-51
y3 : 5.44008572353366E-02 -4.05090901373348E-51
z3 : 1.10186640001303E-01 1.00228676628457E-50
x4 : -4.46511140646023E-01 -1.71223989240281E-51
y4 : -4.38870342026290E-01 7.51715074713430E-51
z4 : -7.79756772441712E-01 -6.09724449489782E-51
y5 : -9.38489106765292E-01 -1.92104963537877E-51
z5 : -9.01503487057744E-02 -1.06910588403688E-50
== err : 2.882E-15 = rco : 1.606E-03 = res : 2.220E-16 ==
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -8.20419669739568E-03 8.99221451502850E-05
z2 : -4.70156517684504E-02 5.21955770309625E-04
x3 : 2.88533269583813E-01 1.50031840646871E-01
y3 : -3.43153715193481E+00 -2.24434968040892E-01
z3 : -2.46988957491864E-01 3.29345132191157E+00
x4 : -2.97840490872615E+00 -1.49777502412412E-01
y4 : 6.07882406739120E+00 4.18701721725513E-02
z4 : 1.04663645520265E-01 -6.69400970344124E+00
y5 : -3.52797160764789E+00 1.82474873723190E-01
z5 : 1.89340963740049E-01 3.40003642575936E+00
== err : 3.095E-14 = rco : 2.163E-03 = res : 2.899E-15 ==
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 3.16014080677800E-01 1.26733046589158E-01
z2 : 1.03341288838185E+00 -3.97931661965762E-03
x3 : -6.73898167956924E-01 5.60862894054916E-01
y3 : -9.28290906224378E-01 -4.27956661691425E-01
z3 : 4.28809849845188E-01 -4.50171574525057E-02
x4 : -1.09894570111892E+00 -2.02407707480420E-01
y4 : 2.27072689989377E-01 -4.32187185326296E-01
z4 : -3.30977131240252E-01 3.75546107346426E-01
y5 : -5.03684753331688E-01 7.33410800428563E-01
z5 : -1.13124560698679E+00 -3.26549633274263E-01
== err : 2.422E-15 = rco : 5.056E-03 = res : 2.245E-16 ==
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 6.41616085194714E-01 2.41188347642890E-01
z2 : 4.48034242399439E-01 -1.42113849207410E+00
x3 : 1.04062608535166E+00 6.50711685909772E-01
y3 : -1.14970267640780E+00 -2.77062235234198E-01
z3 : -8.00826790687888E-01 1.24332347438812E+00
x4 : -1.89252841298013E+00 3.14719787360914E-02
y4 : 2.20698300142553E+00 -4.03995579445203E+00
z4 : -3.80084785850147E+00 -2.36149293867704E+00
y5 : -2.58778529910133E+00 4.07582968204334E+00
z5 : 4.15364040678992E+00 2.53930795636302E+00
== err : 1.598E-14 = rco : 3.475E-03 = res : 7.944E-15 ==
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -1.70486022844823E-01 -2.02116542779737E-01
z2 : -8.58344066890699E-01 -1.76358864345020E+00
x3 : -1.87695797886224E+00 -9.56667107442866E-01
y3 : 1.70437402914900E-01 -1.91539585554286E+00
z3 : -1.67397856872912E+00 8.77650940521089E-01
x4 : -1.27191597920882E+00 3.84995195484734E-01
y4 : -1.61787800481090E+00 -1.13302836437584E+00
z4 : -8.46339662871516E-01 1.58732975356117E+00
y5 : 7.29037735851931E-01 3.25054076269844E+00
z5 : 3.37866229849134E+00 -7.01392050632063E-01
== err : 5.071E-15 = rco : 8.323E-03 = res : 1.144E-15 ==
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -3.36462405876109E-02 -2.05707462339280E-01
z2 : 1.80319535960011E-01 -1.28824022231987E+00
x3 : -1.18823511766340E+00 -1.06099017311160E+00
y3 : -2.54550346533258E-01 4.61146486567525E-01
z3 : -1.28554622502692E+00 8.89365752059730E-01
x4 : -1.57359748852700E+00 4.79161606868475E-01
y4 : 6.62973758728379E-01 2.45554212615375E-01
z4 : 4.38463911938635E-01 1.34836981051324E+00
y5 : -1.26366606049640E+00 -5.00993236843620E-01
z5 : 6.66762777128275E-01 -9.49495340253106E-01
== err : 3.862E-15 = rco : 1.291E-02 = res : 5.901E-16 ==
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -1.70486022844823E-01 2.02116542779737E-01
z2 : -8.58344066890699E-01 1.76358864345020E+00
x3 : -1.87695797886224E+00 9.56667107442866E-01
y3 : 1.70437402914901E-01 1.91539585554286E+00
z3 : -1.67397856872912E+00 -8.77650940521088E-01
x4 : -1.27191597920882E+00 -3.84995195484734E-01
y4 : -1.61787800481090E+00 1.13302836437584E+00
z4 : -8.46339662871516E-01 -1.58732975356117E+00
y5 : 7.29037735851931E-01 -3.25054076269844E+00
z5 : 3.37866229849134E+00 7.01392050632063E-01
== err : 4.871E-15 = rco : 8.323E-03 = res : 3.662E-15 ==
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 1.10149909227255E-01 3.77845749517154E-01
z2 : 1.79881165342206E+00 1.38826418360681E+00
x3 : -1.54976972616194E+00 2.45065403022038E-02
y3 : 1.32174466278021E-02 -8.40022221773019E-01
z3 : -5.86996078855268E-02 -8.36163049529968E-01
x4 : -8.05345949458031E-01 1.04420262660217E+00
y4 : -1.35223045930977E+00 -3.07202617962844E-01
z4 : -5.51142315199039E-01 -7.72097526942306E-01
y5 : 3.39974214565822E-01 7.69379090218709E-01
z5 : -1.18896973033750E+00 2.19996392865463E-01
== err : 4.221E-15 = rco : 1.625E-02 = res : 5.901E-16 ==
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 2.84313975071460E-01 1.01371168640206E-01
z2 : 9.73297814767976E-01 5.46596076511054E-02
x3 : -1.30717587914161E+00 -4.02086093427066E-01
y3 : -4.54530834237019E-02 9.02735359109650E-01
z3 : 7.97106293005106E-01 -6.07905296108233E-01
x4 : -5.55329428488527E-01 6.88807056476245E-01
y4 : 1.53333556430640E-01 -6.79239825423945E-01
z4 : -1.31910344875091E+00 -3.68936255586499E-01
y5 : -1.28108333696729E+00 -3.24866702325911E-01
z5 : -4.51300659022172E-01 9.22181944043627E-01
== err : 4.368E-15 = rco : 1.419E-03 = res : 3.140E-16 ==
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 1.34117738035881E-01 3.17956655457965E-01
z2 : 1.50666430018796E+00 1.03104916395920E+00
x3 : -1.44064644503520E+00 -3.53101391952567E-01
y3 : -1.80003874731313E-01 3.93010842423794E-01
z3 : 4.34217339980063E-01 -1.00859811500355E+00
x4 : -8.46677973461174E-01 1.25241862074345E+00
y4 : 3.26820244560340E-01 -4.98173390017017E-01
z4 : -1.60445634475645E+00 -7.62381857812776E-01
y5 : -1.16982299675380E+00 -2.12794107864742E-01
z5 : -3.36425295411574E-01 7.39930808857125E-01
== err : 5.377E-15 = rco : 6.705E-03 = res : 3.140E-16 ==
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -3.12083894143758E-01 1.31877643006228E-01
z2 : -2.48545490111674E+00 1.48683659609074E+00
x3 : -4.60009305687410E+00 1.94165485028334E-01
y3 : -6.85675862587562E-01 5.13012763671956E+00
z3 : -2.84967519881404E+00 -1.54781990378800E+00
x4 : 1.05071983881481E+00 1.78840817598077E-01
y4 : 8.73845348013719E-01 -1.93696291376359E+00
z4 : 1.88503683848710E+00 7.98230785577060E-01
y5 : -7.64974480171287E-01 -3.32504236596219E+00
z5 : 3.45009326144368E+00 -7.37247477879795E-01
== err : 4.363E-15 = rco : 5.864E-03 = res : 3.722E-15 ==
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -3.36462405876109E-02 2.05707462339280E-01
z2 : 1.80319535960011E-01 1.28824022231987E+00
x3 : -1.18823511766340E+00 1.06099017311160E+00
y3 : -2.54550346533258E-01 -4.61146486567525E-01
z3 : -1.28554622502692E+00 -8.89365752059730E-01
x4 : -1.57359748852700E+00 -4.79161606868475E-01
y4 : 6.62973758728379E-01 -2.45554212615375E-01
z4 : 4.38463911938635E-01 -1.34836981051324E+00
y5 : -1.26366606049640E+00 5.00993236843620E-01
z5 : 6.66762777128275E-01 9.49495340253106E-01
== err : 3.842E-15 = rco : 1.291E-02 = res : 4.965E-16 ==
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -2.08292266175285E-02 3.42715418125971E-01
z2 : 9.35352111152964E-01 2.06718411736286E+00
x3 : 2.50642123283143E-01 4.48255524881989E-02
y3 : -9.50232550234931E-01 3.16175393457997E-02
z3 : 2.12347162638092E-01 8.85759110602608E-02
x4 : -2.97622273950231E+00 9.24520032208028E-01
y4 : -1.05267579579130E+00 -6.40040946694810E-01
z4 : -7.24439414662042E-01 -2.86817901956825E+00
y5 : 1.13484868375487E+00 2.65707989223040E-01
z5 : -4.23259859129015E-01 7.12418991145125E-01
== err : 5.085E-15 = rco : 1.769E-02 = res : 8.882E-16 ==
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -8.20419669739602E-03 -8.99221451502630E-05
z2 : -4.70156517684524E-02 -5.21955770309498E-04
x3 : 2.88533269583810E-01 -1.50031840646876E-01
y3 : -3.43153715193480E+00 2.24434968040901E-01
z3 : -2.46988957491874E-01 -3.29345132191157E+00
x4 : -2.97840490872614E+00 1.49777502412418E-01
y4 : 6.07882406739121E+00 -4.18701721725521E-02
z4 : 1.04663645520268E-01 6.69400970344124E+00
y5 : -3.52797160764790E+00 -1.82474873723199E-01
z5 : 1.89340963740058E-01 -3.40003642575937E+00
== err : 1.045E-14 = rco : 2.163E-03 = res : 5.330E-15 ==
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 3.56084436869914E-03 3.36295182586275E-01
z2 : 1.03787910956192E+00 1.88081792616860E+00
x3 : -1.09126098230112E+00 8.86066956320257E-02
y3 : 6.71709768715556E-01 -1.80534856809194E-01
z3 : -2.65831272703557E-01 -8.19918794390002E-01
x4 : -1.56533409556612E+00 8.62579720716469E-01
y4 : -5.85118926361920E-01 -1.97499883413067E-01
z4 : -9.10537501236221E-01 -1.35597328563167E+00
y5 : -9.79040575611224E-01 4.17395576359855E-02
z5 : 1.38489664377856E-01 2.95074153853081E-01
== err : 5.041E-15 = rco : 9.877E-03 = res : 4.965E-16 ==
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 8.88270186096279E-01 -1.18727285225304E-02
z2 : -2.07513167950841E+00 1.22669139139470E-01
x3 : -1.62908368016265E+00 -6.68998419563607E-01
y3 : -1.20149656773437E+00 1.32037397135422E+00
z3 : 4.68041273198475E-01 1.06095427001293E+00
x4 : 1.47482450195404E+00 6.35417272165734E-01
y4 : 2.15363673804085E-01 -9.75174807678772E-01
z4 : 8.92621447743654E-01 -8.14580172378679E-01
y5 : -7.91026181054887E-01 -3.33326435152915E-01
z5 : 7.14468958566281E-01 -3.69043236773721E-01
== err : 5.293E-15 = rco : 1.101E-02 = res : 4.460E-16 ==
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 7.27465987536237E-01 3.50897237151411E-02
z2 : -6.36610205849472E-01 -2.60980996555049E-01
x3 : -7.54302456541607E-01 -9.14258494919599E-02
y3 : -1.82651965817342E-03 -8.27907321879588E-02
z3 : 6.75793447257417E-01 -1.02270837403841E-01
x4 : 1.45220321352707E-01 1.90674575847715E-01
y4 : -8.72222558064557E-01 1.71852953667584E-01
z4 : 5.73907504314107E-01 2.12933615193869E-01
y5 : -7.42305798702395E-01 -1.24151945194767E-01
z5 : -6.13090745722051E-01 1.50318218765021E-01
== err : 2.462E-15 = rco : 4.094E-03 = res : 5.579E-16 ==
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 7.91133056866286E-01 6.22301527786114E-61
z2 : -1.15769922835140E+00 -4.97841222228891E-60
x3 : -7.71292852737194E-01 6.22301527786114E-61
y3 : -6.27251212787193E-01 3.92179365146696E-61
z3 : 1.07996534081036E-01 3.42265840282363E-60
x4 : 3.42288383394501E-01 1.24460305557223E-60
y4 : -9.32581762681896E-01 -2.17805534725140E-60
z4 : 1.14585856484592E-01 1.86690458335834E-60
y5 : -1.20188970286086E-01 1.43240154464254E-60
z5 : 9.35116837785771E-01 4.66726145839586E-61
== err : 1.116E-15 = rco : 2.979E-02 = res : 4.441E-16 ==
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 4.43019051984481E-01 0.00000000000000E+00
z2 : 7.39701283033442E-01 -4.89397835099889E-55
x3 : -9.94230280480309E-01 2.34503129318697E-55
y3 : 9.17581827979804E-02 1.63132611699963E-55
z3 : 5.55570451487306E-02 0.00000000000000E+00
x4 : -4.19389282774108E-01 -2.34503129318697E-55
y4 : -9.07785937615345E-01 1.78426294046835E-55
z4 : -6.10908847924393E-03 2.44698917549945E-55
y5 : -5.15880186056005E-01 -4.34805110082476E-55
z5 : -7.89149239702929E-01 2.44698917549945E-55
== err : 4.777E-16 = rco : 4.508E-02 = res : 2.220E-16 ==
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : -2.08292266175285E-02 -3.42715418125971E-01
z2 : 9.35352111152964E-01 -2.06718411736286E+00
x3 : 2.50642123283143E-01 -4.48255524881990E-02
y3 : -9.50232550234931E-01 -3.16175393457998E-02
z3 : 2.12347162638092E-01 -8.85759110602609E-02
x4 : -2.97622273950231E+00 -9.24520032208028E-01
y4 : -1.05267579579130E+00 6.40040946694811E-01
z4 : -7.24439414662041E-01 2.86817901956825E+00
y5 : 1.13484868375487E+00 -2.65707989223040E-01
z5 : -4.23259859129015E-01 -7.12418991145126E-01
== err : 5.505E-15 = rco : 1.769E-02 = res : 1.776E-15 ==
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 8.88270186096279E-01 1.18727285225303E-02
z2 : -2.07513167950841E+00 -1.22669139139470E-01
x3 : -1.62908368016265E+00 6.68998419563608E-01
y3 : -1.20149656773437E+00 -1.32037397135422E+00
z3 : 4.68041273198474E-01 -1.06095427001293E+00
x4 : 1.47482450195404E+00 -6.35417272165736E-01
y4 : 2.15363673804086E-01 9.75174807678771E-01
z4 : 8.92621447743655E-01 8.14580172378679E-01
y5 : -7.91026181054887E-01 3.33326435152915E-01
z5 : 7.14468958566281E-01 3.69043236773721E-01
== err : 4.885E-15 = rco : 1.101E-02 = res : 6.280E-16 ==
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 4.43639033263787E-01 3.59405502801437E-01
z2 : 1.90081186303748E+00 -8.36929030812009E-01
x3 : -2.15916541938616E+00 6.49862098406723E-01
y3 : 1.16371484822175E+00 1.50955738819058E+00
z3 : 2.29745909589453E-01 -1.53880683779073E+00
x4 : 7.47299427998965E-01 3.66690174499903E-01
y4 : -4.72011195437550E-01 -1.48522787533004E+00
z4 : -1.69949739545456E+00 5.73741122049514E-01
y5 : -2.02423157493687E+00 -3.83735015661979E-01
z5 : -4.31060377172376E-01 1.80199474655323E+00
== err : 5.753E-15 = rco : 4.160E-03 = res : 1.037E-15 ==
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 7.27465987536237E-01 -3.50897237151410E-02
z2 : -6.36610205849473E-01 2.60980996555049E-01
x3 : -7.54302456541607E-01 9.14258494919598E-02
y3 : -1.82651965817360E-03 8.27907321879587E-02
z3 : 6.75793447257417E-01 1.02270837403841E-01
x4 : 1.45220321352707E-01 -1.90674575847714E-01
y4 : -8.72222558064557E-01 -1.71852953667584E-01
z4 : 5.73907504314107E-01 -2.12933615193869E-01
y5 : -7.42305798702395E-01 1.24151945194766E-01
z5 : -6.13090745722051E-01 -1.50318218765021E-01
== err : 7.446E-16 = rco : 4.094E-03 = res : 6.684E-16 ==
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 7.00558532025518E-01 3.20297126314535E-01
z2 : 4.69229439891096E-01 -2.22708976311967E+00
x3 : 5.83620958902414E-01 1.12826852085034E+00
y3 : 1.38183608376938E+00 -7.30889186872610E-01
z3 : -8.52662362504123E-01 -4.12224006917690E-01
x4 : -1.26880887111573E+00 -2.22331440804051E-01
y4 : 1.10091956634401E+00 1.27111388007140E+00
z4 : 1.26686482525671E+00 -1.32728465777827E+00
y5 : -4.07220307102780E+00 -8.60521819513325E-01
z5 : -8.83431902643679E-01 3.96659842781563E+00
== err : 5.780E-15 = rco : 8.967E-03 = res : 1.456E-15 ==
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 7.00558532025518E-01 -3.20297126314535E-01
z2 : 4.69229439891096E-01 2.22708976311967E+00
x3 : 5.83620958902414E-01 -1.12826852085034E+00
y3 : 1.38183608376938E+00 7.30889186872610E-01
z3 : -8.52662362504123E-01 4.12224006917690E-01
x4 : -1.26880887111573E+00 2.22331440804051E-01
y4 : 1.10091956634401E+00 -1.27111388007140E+00
z4 : 1.26686482525671E+00 1.32728465777827E+00
y5 : -4.07220307102780E+00 8.60521819513324E-01
z5 : -8.83431902643678E-01 -3.96659842781563E+00
== err : 5.725E-15 = rco : 8.967E-03 = res : 1.665E-15 ==
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 1.34117738035881E-01 -3.17956655457965E-01
z2 : 1.50666430018796E+00 -1.03104916395920E+00
x3 : -1.44064644503520E+00 3.53101391952567E-01
y3 : -1.80003874731313E-01 -3.93010842423793E-01
z3 : 4.34217339980063E-01 1.00859811500355E+00
x4 : -8.46677973461174E-01 -1.25241862074345E+00
y4 : 3.26820244560340E-01 4.98173390017016E-01
z4 : -1.60445634475645E+00 7.62381857812776E-01
y5 : -1.16982299675380E+00 2.12794107864742E-01
z5 : -3.36425295411574E-01 -7.39930808857125E-01
== err : 4.819E-15 = rco : 6.705E-03 = res : 6.661E-16 ==
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 5.71647497337874E-01 1.02248803447533E-01
z2 : 3.86792183871616E-01 -4.73698328450651E-01
x3 : -8.63324900846667E-01 4.17525132971997E-01
y3 : 4.63825769801974E-01 -3.55061216615773E-01
z3 : -8.49665989323537E-01 -6.18062147651424E-01
x4 : -1.86478478556281E-01 -1.28321843828153E-01
y4 : -1.16396084749196E+00 -1.89276417008202E-01
z4 : -3.57997454670193E-01 6.82238372836270E-01
y5 : -7.60401308536778E-01 4.42088830176441E-01
z5 : 8.20871260122114E-01 4.09522103265805E-01
== err : 1.476E-15 = rco : 1.734E-03 = res : 6.329E-16 ==
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 1.10149909227255E-01 -3.77845749517154E-01
z2 : 1.79881165342206E+00 -1.38826418360681E+00
x3 : -1.54976972616194E+00 -2.45065403022038E-02
y3 : 1.32174466278022E-02 8.40022221773019E-01
z3 : -5.86996078855269E-02 8.36163049529968E-01
x4 : -8.05345949458031E-01 -1.04420262660217E+00
y4 : -1.35223045930977E+00 3.07202617962844E-01
z4 : -5.51142315199038E-01 7.72097526942306E-01
y5 : 3.39974214565822E-01 -7.69379090218709E-01
z5 : -1.18896973033750E+00 -2.19996392865463E-01
== err : 4.220E-15 = rco : 1.625E-02 = res : 4.441E-16 ==
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 3.16014080677800E-01 -1.26733046589158E-01
z2 : 1.03341288838185E+00 3.97931661965775E-03
x3 : -6.73898167956924E-01 -5.60862894054916E-01
y3 : -9.28290906224379E-01 4.27956661691424E-01
z3 : 4.28809849845187E-01 4.50171574525056E-02
x4 : -1.09894570111892E+00 2.02407707480419E-01
y4 : 2.27072689989377E-01 4.32187185326297E-01
z4 : -3.30977131240251E-01 -3.75546107346426E-01
y5 : -5.03684753331687E-01 -7.33410800428563E-01
z5 : -1.13124560698679E+00 3.26549633274262E-01
== err : 2.608E-15 = rco : 5.056E-03 = res : 2.227E-16 ==
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 5.71647497337874E-01 -1.02248803447533E-01
z2 : 3.86792183871615E-01 4.73698328450650E-01
x3 : -8.63324900846667E-01 -4.17525132971997E-01
y3 : 4.63825769801974E-01 3.55061216615773E-01
z3 : -8.49665989323537E-01 6.18062147651424E-01
x4 : -1.86478478556282E-01 1.28321843828153E-01
y4 : -1.16396084749196E+00 1.89276417008201E-01
z4 : -3.57997454670192E-01 -6.82238372836270E-01
y5 : -7.60401308536778E-01 -4.42088830176441E-01
z5 : 8.20871260122114E-01 -4.09522103265804E-01
== err : 3.562E-15 = rco : 1.734E-03 = res : 4.475E-16 ==
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 4.43639033263787E-01 -3.59405502801437E-01
z2 : 1.90081186303748E+00 8.36929030812009E-01
x3 : -2.15916541938616E+00 -6.49862098406723E-01
y3 : 1.16371484822175E+00 -1.50955738819058E+00
z3 : 2.29745909589453E-01 1.53880683779073E+00
x4 : 7.47299427998965E-01 -3.66690174499903E-01
y4 : -4.72011195437550E-01 1.48522787533004E+00
z4 : -1.69949739545456E+00 -5.73741122049514E-01
y5 : -2.02423157493687E+00 3.83735015661979E-01
z5 : -4.31060377172376E-01 -1.80199474655323E+00
== err : 5.753E-15 = rco : 4.160E-03 = res : 1.037E-15 ==
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 2.48494622054220E-01 -5.28518322446067E-01
z2 : 3.36393621848544E+00 -6.25739824134232E-01
x3 : -3.18437287570530E+00 -1.75748327066103E+00
y3 : -1.61493279790853E+00 2.93851870363747E+00
z3 : -9.15839089289067E-01 9.29171766939522E-01
x4 : 1.22055513841034E+00 2.62607711529219E-01
y4 : 5.39462234525212E-01 -1.18314839095477E+00
z4 : -9.01283341842153E-01 -3.52538062466319E-01
y5 : -6.19129475597903E-02 -1.22685199023663E+00
z5 : -1.54681378735422E+00 4.91061196610286E-02
== err : 3.934E-15 = rco : 8.899E-03 = res : 2.512E-15 ==
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 2.84313975071459E-01 -1.01371168640206E-01
z2 : 9.73297814767975E-01 -5.46596076511071E-02
x3 : -1.30717587914161E+00 4.02086093427070E-01
y3 : -4.54530834237050E-02 -9.02735359109655E-01
z3 : 7.97106293005112E-01 6.07905296108232E-01
x4 : -5.55329428488530E-01 -6.88807056476248E-01
y4 : 1.53333556430645E-01 6.79239825423947E-01
z4 : -1.31910344875091E+00 3.68936255586504E-01
y5 : -1.28108333696729E+00 3.24866702325913E-01
z5 : -4.51300659022174E-01 -9.22181944043629E-01
== err : 2.864E-15 = rco : 1.419E-03 = res : 3.331E-16 ==
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 6.97763764972147E-01 1.94469227433161E-61
z2 : -4.34720526348460E-01 -6.22301527786114E-61
x3 : -3.52044000969772E-01 1.16681536459896E-60
y3 : -5.04613903780706E-01 -6.22301527786114E-61
z3 : -7.88308207170515E-01 -2.33363072919793E-61
x4 : -3.41048706184647E-01 -7.19536141502695E-61
y4 : -8.90962789996797E-01 2.72256918406425E-61
z4 : 2.99785067758389E-01 6.22301527786114E-61
y5 : -1.91075960083534E-01 7.77876909732643E-62
z5 : 9.23243665760586E-01 3.50044609379689E-61
== err : 4.754E-16 = rco : 8.304E-03 = res : 2.776E-16 ==
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
y2 : 6.41616085194714E-01 -2.41188347642890E-01
z2 : 4.48034242399440E-01 1.42113849207410E+00
x3 : 1.04062608535166E+00 -6.50711685909776E-01
y3 : -1.14970267640780E+00 2.77062235234194E-01
z3 : -8.00826790687888E-01 -1.24332347438812E+00
x4 : -1.89252841298013E+00 -3.14719787360882E-02
y4 : 2.20698300142553E+00 4.03995579445201E+00
z4 : -3.80084785850145E+00 2.36149293867704E+00
y5 : -2.58778529910133E+00 -4.07582968204331E+00
z5 : 4.15364040678990E+00 -2.53930795636302E+00
== err : 3.977E-14 = rco : 3.475E-03 = res : 5.437E-15 ==