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 ==