9
9.02353177111246E-01*x1**2+ 5.06753420513951E-01*y1**2+
1.15409618294195E+00*z1**2-1.89489327629418E+00;
5.47653292007868E-01*x2**2+ 4.01593017487710E-01*y2**2+
9.14600572619008E-01*z2**2-1.37399826809834E+00*x2-3.61818267724270E+00;
1.26480638249588E+00*x3**2+ 2.99953816740793E-01*y3**2+
1.20375754734237E+00*z3**2+ 3.46367554661357E-01*x3-3.03447482544876E+00*y3
-2.08334787313530E+00;
1.01542688946772E+00*x1*x2+ 6.51626823874782E-01*y1*y2+
1.48403542964494E+00*z1*z2-1.34750418563480E+00*x2+ 7.55749719256342E-01;
1.49129677811074E+00*x1*x3+ 5.44238574067073E-01*y1*y3+
1.64533483741959E+00*z1*z3+ 1.97899885395127E-01*x3-1.73377157331563E+00*y3
-2.18250318558661E+00;
3.63356727880623E+00*x2*x3+ 1.51526503944521E+00*y2*y3+
4.58092916621510E+00*z2*z3-4.97526669091479E+00*x2+ 4.55809836346864E-01*x3
-3.99328243934042E+00*y3-4.37818922423922E-03;
-1.50354584074328E+00*x1*y2*z3+ 1.13265335620253E+00*x1*z2*y3+
1.31578980431683E+00*y1*x2*z3-1.74297802916645E+00*y1*z2*x3-9.91212703684361E-01*z1*x2*y3+
1.74297802916645E+00*z1*y2*x3+ 3.83650902835643E+00*x1*y2+ 5.63687325659283E-02*x1*z2
-1.99884215008463E+00*x1*y3-3.89852390643551E-02*x1*z3-3.35742305082321E+00*y1*x2+
1.29829675554826E+00*y1*z2+ 3.07590838122797E+00*y1*x3-8.97916399527476E-01*y1*z3
-4.93296589852189E-02*z1*x2-1.29829675554826E+00*z1*y2+ 4.51934442633164E-02*z1*x3+
6.76419697992925E-01*z1*y3+ 2.11450869353619E+00*x2*y3+ 4.12411890141876E-02*x2*z3
-3.71821525452185E+00*y2*x3+ 1.08541804248264E+00*y2*z3-5.46306758971674E-02*z2*x3
-8.17668710448484E-01*z2*y3-9.85984231145044E+00*x1+ 2.40411038512531E-01*y1
-3.72647039170064E+01*z1+ 1.09272995041099E+00*x2+ 3.63213093186832E-02*y2-5.62995295895362E+00
*z2+ 7.70206259423188E+00*x3-1.05808258067104E+01*y3+ 2.12115567191798E+01*
z3-6.95578779258571E-01;
8.46362685065152E-01*x1*y2*z3-6.37583178261945E-01*x1*z2*y3
-7.40672722829929E-01*y1*x2*z3+ 9.81141728306483E-01*y1*z2*x3+ 5.57964661021749E-01*z1*x2*y3
-9.81141728306483E-01*z1*y2*x3+ 2.15248618665415E+00*x1*y2+ 2.45598327418739E+00*x1*z2
-1.12145705524443E+00*x1*y3-1.69858520360145E+00*x1*z3-1.88369340101545E+00*y1*x2+
1.39179304392241E+00*y1*z2+ 1.72574865667482E+00*y1*x3-9.62579466940477E-01*y1*z3
-2.14929113844038E+00*z1*x2-1.39179304392241E+00*z1*y2+ 1.96907643938610E+00*z1*x3+
7.25131774700529E-01*z1*y3+ 1.18635215524219E+00*x2*y3+ 1.79687684671605E+00*x2*z3
-2.08611707028712E+00*y2*x3+ 1.16358396092368E+00*y2*z3-2.38025621924476E+00*z2*x3
-8.76552774681028E-01*z2*y3+ 5.27434073456527E-01*x1-5.22683827930675E-01*y1+
1.04327631315449E+00*z1+ 9.43203889658043E-01*x2-5.43486300980384E-01*y2+ 1.08479802518778E+00
*z2+ 3.44041927386078E-01*x3+ 7.67905870025835E-02*y3+ 6.49757354494466E-01
*z3+ 8.38949001135772E-01;
1.41669698735990E+00*x2+ 7.05867245375851E-01;
TITLE : parallel robot with 24 real solutions, after variable scaling
ROOT COUNTS :
total degree : 576
3-homogeneous Bezout number : 80
with partition : {x1 y1 z1 }{x2 y2 z2 }{x3 y3 z3 }
generalized Bezout number : 80
based on the set structure :
{x1 y1 z1 }{x1 y1 z1 }
{x2 y2 z2 }{x2 y2 z2 }
{x3 y3 z3 }{x3 y3 z3 }
{x1 y1 z1 }{x2 y2 z2 }
{x1 y1 z1 }{x3 y3 z3 }
{x2 y2 z2 }{x3 y3 z3 }
{x1 y1 z1 }{x2 y2 z2 }{x3 y3 z3 }
{x1 y1 z1 }{x2 y2 z2 }{x3 y3 z3 }
{x2 }
mixed volume : 80
REFERENCES :
From the FRISCO test suite, see
http://www.inria.fr/safir/POL/index.html.
ORIGIN OF THE PROBLEM
This system was generated by Fabrice Rouillier, as a deformation of a
system found in Innocenti (?).
Added to the list by Jean-Charles Faug\`ere (October 1996).
SCALING COEFFICIENTS :
2
-4.08203384682719E-01 -0.00000000000000E+00
-8.24407528116980E-01 0.00000000000000E+00
-2.30703709576502E-01 0.00000000000000E+00
-3.27045438823416E-01 0.00000000000000E+00
-5.50809767029575E-01 0.00000000000000E+00
4.28940515108969E-02 0.00000000000000E+00
-4.53387241620977E-01 0.00000000000000E+00
-1.49143937101211E+00 0.00000000000000E+00
-4.89073096348346E-01 0.00000000000000E+00
-1.52633976862650E+01 0.00000000000000E+00
-9.50228675506166E+00 0.00000000000000E+00
-1.23639494382057E+01 0.00000000000000E+00
-1.78523052813108E+01 0.00000000000000E+00
-1.84934105507899E+01 0.00000000000000E+00
-1.82897492694981E+01 0.00000000000000E+00
-4.46570387839262E+01 0.00000000000000E+00
-3.82928030870631E+01 0.00000000000000E+00
-1.08142795329781E+01 0.00000000000000E+00
THE SOLUTIONS :
40 9
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.46259746820609E-01 1.12955426610699E+00
y1 : 5.25758674056631E-01 -3.95953586570412E-01
z1 : 1.58476888852698E+00 -1.35285400158476E-01
x2 : -4.98248568094492E-01 -1.10461942169431E-31
y2 : 2.31993394717274E+00 3.39138025723382E-01
z2 : -9.38892796075255E-01 3.67951675483613E-01
x3 : 6.86455416144435E-01 2.60148778800089E+00
y3 : -2.60189257460010E+00 7.73322934815778E-01
z3 : 8.95037205805278E-01 -8.65392853409902E-01
===========================================================
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.33852962448203E+00 2.99380301022409E+00
y1 : -9.39814390712137E-01 6.03801103100825E-01
z1 : -2.85658016959469E+00 -2.00348474388612E+00
x2 : -4.98248568094492E-01 9.81739817570874E-32
y2 : 2.64972089578713E+00 1.61714796014058E-02
z2 : 1.01688240343863E-01 -1.85026460024826E-01
x3 : -4.28859191161915E-01 2.22641481390854E+00
y3 : 1.26274607479665E+00 4.69914308874943E+00
z3 : -4.09009310886217E+00 -1.25356930169859E+00
===========================================================
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.15298530102931E+00 -2.62743462060903E-46
y1 : -6.67775291646051E-01 5.25486924121806E-46
z1 : 6.37718854816069E-01 -1.86109952293140E-46
x2 : -4.98248568094492E-01 -6.15804989205242E-47
y2 : 1.64088736833027E+00 3.50324616081204E-46
z2 : -1.36989090071445E+00 -3.50324616081204E-46
x3 : -1.70079706862896E+00 -3.50324616081204E-46
y3 : 5.12653893134112E-01 8.75811540203011E-47
z3 : 6.38358531690091E-01 -2.18952885050753E-46
===========================================================
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.30154811752771E+00 3.66089223804859E-44
y1 : 7.13942194975993E-01 1.34524652575182E-43
z1 : -3.05884149013526E-01 3.25101243723358E-43
x2 : -4.98248568094492E-01 -1.87752098931020E-45
y2 : 5.39924614563095E-02 -1.73761009576277E-42
z2 : 1.74859342209954E+00 -1.29269783333964E-43
x3 : 1.76485641974999E+00 -5.78035616533987E-44
y3 : 1.00416805429906E+00 1.39429197200319E-43
z3 : 4.79879616203879E-01 4.48415508583941E-43
===========================================================
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -9.99722235434541E-01 -5.79283616085223E-35
y1 : 1.03235754582142E+00 -2.14410169589985E-35
z1 : -6.26484353163629E-01 7.14700565299951E-35
x2 : -4.98248568094492E-01 5.61631456191215E-38
y2 : -2.62546733350943E+00 5.15336723400491E-35
z2 : 1.79357531833213E-01 1.71528135671988E-34
x3 : -8.48058266066690E-01 -4.96528813787334E-35
y3 : 3.09656355504828E-01 -9.17825989122042E-35
z3 : -1.40561202291262E+00 1.20370621524202E-34
===========================================================
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.52665330507256E+00 -1.40097435943149E+01
y1 : -1.97347489390471E+01 -6.37786407129209E+00
z1 : -1.41726354371939E+00 4.00941720363193E+00
x2 : -4.98248568094492E-01 9.53389708508669E-30
y2 : 8.83577711666688E-02 1.45028740525969E+00
z2 : 1.99493900327142E+00 -2.82048562396364E-02
x3 : 6.84690944720607E+00 7.68444406887870E+00
y3 : 1.64250684603384E+01 -7.50399359421374E+00
z3 : 5.95954929031248E+00 -5.89546134071447E+00
===========================================================
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.22728258696031E+00 -4.12542267897226E-42
y1 : -9.94126870471606E-01 -2.86985925493723E-42
z1 : -1.73971899587774E-01 6.90559883219270E-42
x2 : -4.98248568094492E-01 -4.32720965783504E-42
y2 : 1.76323216708727E+00 -1.43492962746861E-41
z2 : -1.30143382991984E+00 -1.14794370197489E-41
x3 : 1.35990366575838E+00 -7.17464813734306E-42
y3 : 2.46549978076797E-01 -9.32704257854598E-42
z3 : 5.14246203284547E-02 1.43492962746861E-42
===========================================================
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -5.99373540070105E-01 1.57167329954479E-01
y1 : 1.67037636220161E+00 -1.35020870918103E-01
z1 : -5.22094009071534E-01 -3.30753434908377E-01
x2 : -4.98248568094492E-01 4.50143271928932E-32
y2 : -3.96321292086873E-01 9.32937638815544E-01
z2 : 1.83844012779375E+00 8.83090500911156E-02
x3 : -1.18154158592456E+00 -9.23698471392142E-01
y3 : -4.82767355591948E-01 6.01138794914751E-01
z3 : -6.32337754928677E-01 2.90739118396484E-01
===========================================================
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.81783914050381E-01 1.23314264860584E-43
y1 : -7.11936115544317E-01 -2.01786978862774E-43
z1 : 1.02756716972935E+00 5.60519385729927E-44
x2 : -4.98248568094492E-01 1.08600630985173E-44
y2 : 2.57696743895320E+00 2.52233723578467E-44
z2 : -3.78099883867150E-01 1.23314264860584E-43
x3 : -2.60305328667832E-01 2.91470080579562E-43
y3 : 3.57985530212458E-01 -4.48415508583942E-44
z3 : 1.61396954457405E+00 1.12103877145985E-43
===========================================================
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.25782480418862E+00 9.61402850403971E-41
y1 : 9.17694232025007E-01 3.44383110592467E-41
z1 : 1.87307707869431E-01 -2.29588740394978E-41
x2 : -4.98248568094492E-01 5.15747899794749E-41
y2 : -1.88988027911556E+00 -1.83670992315982E-40
z2 : 1.22089319449757E+00 -6.88766221184934E-41
x3 : 1.47436498805986E+00 -3.44383110592467E-41
y3 : 9.90757120803229E-01 -1.63581977531422E-40
z3 : 1.12934370952935E+00 -9.18354961579912E-41
===========================================================
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.37679168778077E-01 -6.50001356230692E-34
y1 : 3.75056380301136E-01 2.16667118743564E-34
z1 : -1.01561612981034E+00 3.97223051029867E-34
x2 : -4.98248568094492E-01 3.63102054568721E-36
y2 : -2.30277709347740E+00 1.74537401210093E-34
z2 : 8.54666127643258E-01 2.88889491658085E-34
x3 : -1.55829898967767E+00 -4.57408361791969E-34
y3 : 2.99131052640444E-01 2.16667118743564E-34
z3 : -5.99502309466843E-01 6.01853107621011E-34
===========================================================
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 8.56947238353232E-01 -4.59177480789956E-41
y1 : -2.96523774409348E-01 -3.58732406867153E-42
z1 : -1.01444785155730E+00 7.08496503562628E-42
x2 : -4.98248568094492E-01 3.36311631437956E-43
y2 : 2.59278125751336E+00 -2.15239444120292E-42
z2 : 3.27203755976861E-01 7.17464813734306E-42
x3 : 9.81339741606159E-02 -2.29588740394978E-41
y3 : 2.89699156817054E-01 1.43492962746861E-42
z3 : -1.54974821390929E+00 1.93715499708263E-41
===========================================================
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.84930593397544E+00 1.06154388097429E+01
y1 : -1.04328838207289E+01 9.49236123416957E+00
z1 : -8.47282657133029E+00 -1.36147661982595E+00
x2 : -4.98248568094492E-01 8.55892762219337E-32
y2 : 1.92671595846985E+00 6.22274192598696E-01
z2 : -1.32538548471669E+00 3.97202486643370E-01
x3 : -1.02470410017381E+00 -5.58519555302461E+00
y3 : 1.70988285913359E+01 1.26693171978864E+00
z3 : -3.38292066299126E+00 2.66368907609901E+00
===========================================================
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.33852962448203E+00 -2.99380301022409E+00
y1 : -9.39814390712137E-01 -6.03801103100825E-01
z1 : -2.85658016959469E+00 2.00348474388612E+00
x2 : -4.98248568094492E-01 -1.90800887587298E-31
y2 : 2.64972089578713E+00 -1.61714796014059E-02
z2 : 1.01688240343863E-01 1.85026460024825E-01
x3 : -4.28859191161913E-01 -2.22641481390853E+00
y3 : 1.26274607479666E+00 -4.69914308874942E+00
z3 : -4.09009310886217E+00 1.25356930169859E+00
===========================================================
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.46259746820609E-01 -1.12955426610699E+00
y1 : 5.25758674056631E-01 3.95953586570412E-01
z1 : 1.58476888852698E+00 1.35285400158476E-01
x2 : -4.98248568094492E-01 6.71697677298573E-32
y2 : 2.31993394717274E+00 -3.39138025723383E-01
z2 : -9.38892796075255E-01 -3.67951675483614E-01
x3 : 6.86455416144434E-01 -2.60148778800089E+00
y3 : -2.60189257460010E+00 -7.73322934815777E-01
z3 : 8.95037205805279E-01 8.65392853409902E-01
===========================================================
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.14040012863480E+00 9.40395480657830E-36
y1 : -2.02821291519153E-01 2.25694915357879E-35
z1 : 7.79096096640188E-01 -5.17217514361807E-37
x2 : -4.98248568094492E-01 -2.84654164849086E-39
y2 : 9.96982696478198E-01 -3.91204519953657E-35
z2 : -1.61938679223227E+00 -6.39468926847324E-36
x3 : -3.23936251179146E-01 -7.52316384526264E-36
y3 : -5.24505439125416E-01 2.25694915357879E-36
z3 : 5.68254501926920E-01 1.69271186518409E-36
===========================================================
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.74595980675728E-01 -1.50667610884204E-41
y1 : 1.99786431326132E-01 6.81591573047591E-42
z1 : -1.25116089872601E+00 4.66352128927299E-42
x2 : -4.98248568094492E-01 -1.00192840199224E-43
y2 : -2.43639378590532E+00 1.25556342403504E-42
z2 : 6.72612424918825E-01 1.25556342403504E-42
x3 : -1.08523088382053E+00 -1.18381694266161E-41
y3 : 1.00979496824354E-01 5.20161989957372E-42
z3 : -1.02835979728140E+00 7.53338054421022E-42
===========================================================
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -5.96652253466382E-01 -2.91470080579562E-43
y1 : -1.43120220490814E+00 -7.62306364592701E-43
z1 : -6.81275451439798E-01 2.24207754291971E-44
x2 : -4.98248568094492E-01 1.19110369467609E-44
y2 : -4.18515762365907E-02 -2.69049305150365E-43
z2 : 1.74873951636210E+00 8.96831017167883E-44
x3 : -6.65997709024632E-01 1.79366203433577E-43
y3 : -4.05548078721566E-01 -1.34524652575182E-43
z3 : -6.26886480942298E-01 8.96831017167883E-44
===========================================================
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.24036709864453E-01 -1.05610820581690E-39
y1 : -4.74527572355735E-01 2.61157192199288E-40
z1 : -1.11289480702602E+00 3.21424236552969E-40
x2 : -4.98248568094492E-01 1.34193946137602E-40
y2 : 2.48461610378979E+00 2.29588740394978E-41
z2 : 5.90093251149633E-01 1.83670992315982E-40
x3 : -1.22597040135476E+00 -8.26519465421921E-40
y3 : 7.06619384144305E-01 -9.18354961579912E-41
z3 : -1.47006350164991E+00 4.64917199299831E-40
===========================================================
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.49915116923857E+00 -3.78920188519952E-01
y1 : -8.51957789553944E-01 8.45145624468257E-01
z1 : -8.69622633373734E-01 -8.74294294349669E-01
x2 : -4.98248568094492E-01 6.30530767687669E-31
y2 : -3.68769905327973E+00 -6.78394307617901E-01
z2 : 6.23934061898798E-01 -1.76057145332410E+00
x3 : 5.05962972641058E-01 -5.64438803433643E-01
y3 : -1.13505409371703E+00 3.29265057853237E-01
z3 : -6.42371139622051E-01 -1.38457812491502E+00
===========================================================
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.35975522650065E+00 1.40129846432482E-43
y1 : 6.30923305038201E-02 -1.90576591148175E-43
z1 : 4.41033964557245E-01 -2.24207754291971E-44
x2 : -4.98248568094492E-01 2.78508069784557E-44
y2 : 1.85256431888342E+00 -4.48415508583942E-44
z2 : -1.24575300558654E+00 0.00000000000000E+00
x3 : 5.19843444751518E-01 -2.24207754291971E-44
y3 : -4.32573713160566E-01 -1.68155815718978E-44
z3 : 4.00135606910176E-01 0.00000000000000E+00
===========================================================
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.08843428830724E+00 4.78959436048521E-48
y1 : 1.15125649957534E+00 -9.92130260386223E-48
z1 : 3.65574105444992E-01 -5.47382212626882E-48
x2 : -4.98248568094492E-01 1.36845553156720E-48
y2 : 9.56636312517403E-02 1.64214663788065E-47
z2 : -1.74781023917116E+00 -5.47382212626882E-48
x3 : 1.34335560805809E+00 1.36845553156720E-47
y3 : 2.24193824526289E-01 1.02634164867540E-47
z3 : -2.59726529156851E-02 0.00000000000000E+00
===========================================================
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 5.62705894420853E-01 -8.96831017167883E-42
y1 : -1.21209660726985E+00 -2.86985925493723E-42
z1 : -8.65570462214048E-01 -5.73971850987445E-42
x2 : -4.98248568094492E-01 -4.37205120869343E-42
y2 : -1.12608410126760E+00 2.86985925493723E-42
z2 : 1.58179097596184E+00 2.86985925493723E-42
x3 : 8.80037906906443E-02 -9.95482429056350E-42
y3 : -4.63426538386724E-01 1.43492962746861E-42
z3 : -6.89570203070489E-01 -4.30478888240584E-42
===========================================================
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.64028835663013E+00 1.72685424093404E+00
y1 : -3.59666239779711E+00 5.22437442807448E-02
z1 : 1.36842107046459E+00 -4.51812477343445E+00
x2 : -4.98248568094492E-01 3.99860207979700E-31
y2 : -2.77221746929490E+00 2.53794184367945E-01
z2 : -4.43881415020104E-01 -6.95979879293827E-01
x3 : 5.05275989716316E+00 2.24413322141200E+00
y3 : -3.37654657284355E+00 2.07338055195623E-01
z3 : 1.95542917771476E+00 -6.03509995185253E+00
===========================================================
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.40651261405292E+00 -1.14794370197489E-41
y1 : -4.33840402871841E-01 -3.44383110592467E-41
z1 : -1.11733690911361E-01 6.31369036086190E-41
x2 : -4.98248568094492E-01 -1.19222473344755E-41
y2 : 2.62765697456975E+00 -8.03560591382423E-41
z2 : -1.64676948267080E-01 -1.83670992315982E-40
x3 : 1.50432404305758E+00 -6.31369036086190E-41
y3 : 5.91816162365236E-01 -8.03560591382423E-41
z3 : 5.69815077738853E-01 -3.44383110592467E-41
===========================================================
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.49915116923857E+00 3.78920188519953E-01
y1 : -8.51957789553943E-01 -8.45145624468259E-01
z1 : -8.69622633373735E-01 8.74294294349669E-01
x2 : -4.98248568094492E-01 1.13068141589743E-31
y2 : -3.68769905327973E+00 6.78394307617900E-01
z2 : 6.23934061898797E-01 1.76057145332410E+00
x3 : 5.05962972641058E-01 5.64438803433643E-01
y3 : -1.13505409371703E+00 -3.29265057853238E-01
z3 : -6.42371139622052E-01 1.38457812491502E+00
===========================================================
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -5.99373540070105E-01 -1.57167329954478E-01
y1 : 1.67037636220161E+00 1.35020870918103E-01
z1 : -5.22094009071534E-01 3.30753434908377E-01
x2 : -4.98248568094492E-01 -8.86395521143278E-32
y2 : -3.96321292086872E-01 -9.32937638815545E-01
z2 : 1.83844012779375E+00 -8.83090500911155E-02
x3 : -1.18154158592456E+00 9.23698471392142E-01
y3 : -4.82767355591948E-01 -6.01138794914751E-01
z3 : -6.32337754928677E-01 -2.90739118396484E-01
===========================================================
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.05676963359314E+00 1.51528568660686E-38
y1 : 1.14235072094782E+00 1.67140603007544E-38
z1 : -4.42406660733893E-01 -1.25355452255658E-38
x2 : -4.98248568094492E-01 1.40735207369070E-40
y2 : -1.28951773178239E+00 1.15712725159069E-37
z2 : 1.52601233378252E+00 5.21625618177390E-38
x3 : -1.18831792192907E+00 -2.85608393051353E-38
y3 : -6.91096016405097E-02 7.53051068495528E-39
z3 : -6.43047726735498E-01 2.88363457936092E-38
===========================================================
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.64028835663012E+00 -1.72685424093404E+00
y1 : -3.59666239779711E+00 -5.22437442807463E-02
z1 : 1.36842107046459E+00 4.51812477343444E+00
x2 : -4.98248568094492E-01 -2.70391705802376E-30
y2 : -2.77221746929491E+00 -2.53794184367948E-01
z2 : -4.43881415020108E-01 6.95979879293831E-01
x3 : 5.05275989716314E+00 -2.24413322141200E+00
y3 : -3.37654657284356E+00 -2.07338055195626E-01
z3 : 1.95542917771476E+00 6.03509995185251E+00
===========================================================
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.13292703291587E+00 -6.31369036086190E-40
y1 : 9.84646702208063E-01 -1.60712118276485E-40
z1 : -4.61112520627923E-01 8.15040028402172E-40
x2 : -4.98248568094492E-01 -9.88756196427591E-42
y2 : -2.48081334122089E+00 1.17664229452426E-39
z2 : 5.97077145347896E-01 2.44512008520652E-39
x3 : -9.67176959714866E-01 -6.31369036086190E-40
y3 : 9.25764899413388E-02 -1.15942313899464E-39
z3 : -1.12132096904418E+00 1.57268287170560E-39
===========================================================
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.14742852357005E-01 2.41634940478869E+00
y1 : -4.60433566674792E-01 -4.32417047783660E-01
z1 : 2.49011456586080E+00 -1.22164301121399E-01
x2 : -4.98248568094492E-01 2.45941635174298E-31
y2 : 2.74930696440458E+00 8.01410591042401E-02
z2 : -1.79778512207349E-01 5.38139922558904E-01
x3 : 1.08807892231556E+00 3.72521098548674E+00
y3 : -3.56710099320152E+00 1.72580035046457E+00
z3 : 1.91217711334618E+00 -5.67738797162219E-01
===========================================================
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.84930593397544E+00 -1.06154388097429E+01
y1 : -1.04328838207289E+01 -9.49236123416957E+00
z1 : -8.47282657133029E+00 1.36147661982595E+00
x2 : -4.98248568094492E-01 1.19535944532636E-31
y2 : 1.92671595846985E+00 -6.22274192598696E-01
z2 : -1.32538548471669E+00 -3.97202486643370E-01
x3 : -1.02470410017381E+00 5.58519555302461E+00
y3 : 1.70988285913359E+01 -1.26693171978864E+00
z3 : -3.38292066299126E+00 -2.66368907609901E+00
===========================================================
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.04728283945009E-01 1.31371731030452E-45
y1 : -1.22295199615663E+00 0.00000000000000E+00
z1 : 8.36210668888049E-01 2.62743462060903E-46
x2 : -4.98248568094492E-01 1.09476442525376E-47
y2 : -4.99529334640436E-01 -1.66404192638572E-45
z2 : -1.71735050827977E+00 1.91583774419409E-46
x3 : -9.08360274337164E-01 1.05097384824361E-45
y3 : -2.77119401062263E-01 -1.31371731030452E-45
z3 : 6.38280057552123E-01 7.75153767113571E-46
===========================================================
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.31781272919326E+00 -1.06192149249615E-45
y1 : 7.68558474545379E-01 -3.25145034300368E-45
z1 : -1.57170501918536E-01 -1.15169217536696E-44
x2 : -4.98248568094492E-01 1.02634164867540E-46
y2 : -7.36127526150751E-01 5.67525878051551E-44
z2 : 1.67956025069636E+00 7.06123054288677E-45
x3 : 1.72987695229894E+00 4.01231161855504E-45
y3 : 1.05156763784901E+00 -2.04720947522454E-45
z3 : 6.81174728681293E-01 -1.53267019535527E-44
===========================================================
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.10827851975141E+00 -1.09476442525376E-46
y1 : 1.04671499984662E+00 -1.86109952293140E-46
z1 : 4.47722144510226E-01 1.97057596545677E-46
x2 : -4.98248568094492E-01 3.83167548838817E-47
y2 : -2.59154172451066E+00 5.25486924121806E-46
z2 : -3.31487494305396E-01 -5.58329856879419E-46
x3 : -1.11877147988653E+00 8.75811540203011E-47
y3 : 2.75810687107598E-01 -4.46116503290909E-46
z3 : 1.18903664430142E+00 -1.97057596545677E-46
===========================================================
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.08468618659228E+00 -1.07205084794993E-35
y1 : 5.85693771204214E-01 -9.62964972193618E-35
z1 : 7.55880884894742E-01 1.50463276905253E-36
x2 : -4.98248568094492E-01 2.46456158799668E-37
y2 : -3.72473438290526E-02 1.20370621524202E-34
z2 : -1.74878523798935E+00 2.33218079203142E-35
x3 : -5.37932687606027E-01 2.55787570738930E-35
y3 : -4.50904954451816E-01 -7.14700565299951E-36
z3 : 6.27790723066666E-01 -5.45429378781541E-36
===========================================================
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.14742852357005E-01 -2.41634940478869E+00
y1 : -4.60433566674791E-01 4.32417047783660E-01
z1 : 2.49011456586080E+00 1.22164301121400E-01
x2 : -4.98248568094492E-01 1.91618683372945E-32
y2 : 2.74930696440458E+00 -8.01410591042403E-02
z2 : -1.79778512207349E-01 -5.38139922558904E-01
x3 : 1.08807892231556E+00 -3.72521098548674E+00
y3 : -3.56710099320152E+00 -1.72580035046457E+00
z3 : 1.91217711334618E+00 5.67738797162221E-01
===========================================================
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.11864949049210E+00 -5.02225369614014E-42
y1 : 1.07726810687646E+00 -4.70836284013139E-42
z1 : -3.92304739774044E-01 4.66352128927299E-42
x2 : -4.98248568094492E-01 1.37327249503832E-43
y2 : -1.75670294576419E+00 -3.08509869905752E-41
z2 : 1.30530509753611E+00 -1.10310215111650E-41
x3 : -1.07426747298980E+00 8.60957776481168E-42
y3 : -9.58040307727667E-02 -3.83395259839270E-42
z3 : -7.63832648436614E-01 -6.45718332360876E-42
===========================================================
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.52665330507253E+00 1.40097435943149E+01
y1 : -1.97347489390471E+01 6.37786407129206E+00
z1 : -1.41726354371939E+00 -4.00941720363193E+00
x2 : -4.98248568094492E-01 6.11386862008032E-33
y2 : 8.83577711666680E-02 -1.45028740525969E+00
z2 : 1.99493900327142E+00 2.82048562396362E-02
x3 : 6.84690944720607E+00 -7.68444406887871E+00
y3 : 1.64250684603384E+01 7.50399359421373E+00
z3 : 5.95954929031249E+00 5.89546134071447E+00
===========================================================
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.81381548811226E-01 4.48415508583941E-43
y1 : -1.29123614000198E+00 4.55422000905566E-43
z1 : 3.95936640492523E-01 -8.96831017167883E-44
x2 : -4.98248568094492E-01 2.17201261970347E-44
y2 : -1.14180594676203E-01 1.34524652575182E-43
z2 : -1.74732208404517E+00 5.60519385729927E-45
x3 : 5.37341299838174E-01 3.58732406867153E-43
y3 : -4.13458756133003E-01 5.04467447156934E-44
z3 : 4.33419504536677E-01 -4.48415508583942E-44
===========================================================