9
62500*x1^2 + 62500*y1^2 + 62500*z1^2 -74529;
625*x2^2 + 625*y2^2 + 625*z2^2 -1250*x2 -2624;
12500*x3^2 + 12500*y3^2 + 12500*z3^2 + 2500*x3 -44975*y3 -10982;
400000*x1*x2 + 400000*y1*y2 + 400000*z1*z2 -400000*x2 + 178837;
1000000*x1*x3 + 1000000*y1*y3 + 1000000*z1*z3 + 100000*x3 -1799000*y3 -805427;
2000000*x2*x3 + 2000000*y2*y3 + 2000000*z2*z3 -2000000*x2 + 200000*x3
-3598000*y3 -1403;
113800000000000*x3*y2*z1
-113800000000000*x2*y3*z1 -113800000000000*x3*y1*z2 +
113800000000000*x1*y3*z2 + 113800000000000*x2*y1*z3
-113800000000000*x1*y2*z3 -206888400000000*x2*y1 +
206888400000000*x3*y1 + 206888400000000*x1*y2 -206888400000000*x3*y2
-206888400000000*x1*y3 + 206888400000000*x2*y3 -2014260000000*x2*z1 +
2014260000000*x3*z1 -61907200000000*y2*z1 + 61907200000000*y3*z1 +
2014260000000*x1*z2 -2014260000000*x3*z2 + 61907200000000*y1*z2
-61907200000000*y3*z2 -2014260000000*x1*z3 + 2014260000000*x2*z3
-61907200000000*y1*z3 + 61907200000000*y2*z3 -362960716800000*x1 +
38025201600000*x2 + 292548849600000*x3 + 11809567440000*y1 +
1475978220000*y2 -825269402280000*y3 -1212982689600000*z1
-151600474800000*z2 + 825859951200000*z3 -19295432410527;
-777600000000*x3*y2*z1 + 777600000000*x2*y3*z1 +
777600000000*x3*y1*z2 -777600000000*x1*y3*z2 -777600000000*x2*y1*z3 +
777600000000*x1*y2*z3 -1409011200000*x2*y1 + 1409011200000*x3*y1 +
1409011200000*x1*y2 -1409011200000*x3*y2 -1409011200000*x1*y3 +
1409011200000*x2*y3 -1065312000000*x2*z1 + 1065312000000*x3*z1
-805593600000*y2*z1 + 805593600000*y3*z1 + 1065312000000*x1*z2
-1065312000000*x3*z2 + 805593600000*y1*z2 -805593600000*y3*z2
-1065312000000*x1*z3 + 1065312000000*x2*z3 -805593600000*y1*z3 +
805593600000*y2*z3 + 235685027200*x1 + 398417510400*x2 +
158626915200*x3 -311668424000*y1 -268090368000*y2 + 72704002800*y3 +
412221302400*z1 + 354583756800*z2 + 307085438400*z3 + 282499646407;
3200*x2 + 1271;
TITLE : parallel robot with 24 real solutions
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).
NOTE : this system needs scaling, see the files rbpl24s and rbpl24es.
THE SOLUTIONS :
40 9
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.60927915037453E-01 8.51188283602750E-01
y1 : 2.96903318580811E-01 -2.23600559834163E-01
z1 : 1.35057031555164E+00 -1.15292801937443E-01
x2 : -3.97187500000000E-01 -8.80566557837057E-32
y2 : 1.58367243700197E+00 2.31508118725500E-01
z2 : -9.67226981458723E-01 3.79055830323113E-01
x3 : 5.01336328968350E-01 1.89993451405436E+00
y3 : -9.25382696154252E-01 2.75038127785784E-01
z3 : 6.37698531378697E-01 -6.16577442932776E-01
===========================================================
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.76222522188102E+00 2.25601382968529E+00
y1 : -5.30726405899260E-01 3.40974976009772E-01
z1 : -2.43443218060270E+00 -1.70740796487254E+00
x2 : -3.97187500000000E-01 7.82610947147733E-32
y2 : 1.80879716576422E+00 1.10392481395847E-02
z2 : 1.04757018233379E-01 -1.90610243435568E-01
x3 : -3.13207074319612E-01 1.62600891961031E+00
y3 : 4.49105154709594E-01 1.67128564166409E+00
z3 : -2.91412061063636E+00 -8.93146449655552E-01
===========================================================
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.68845002714886E-01 -1.97993282137966E-46
y1 : -3.77102100144573E-01 2.96749857570171E-46
z1 : 5.43476188368840E-01 -1.58606456004747E-46
x2 : -3.97187500000000E-01 -4.90899642893848E-47
y2 : 1.12013020914507E+00 2.39144497698835E-46
z2 : -1.41123187478329E+00 -3.60896816291846E-46
x3 : -1.24213654470921E+00 -2.55851221860625E-46
y3 : 1.82329219297354E-01 3.11488972414872E-47
z3 : 4.54819414781284E-01 -1.56000144275981E-46
===========================================================
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.80796179012321E-01 2.75870639778900E-44
y1 : 4.03173199840368E-01 7.59679635379635E-44
z1 : -2.60680314111560E-01 2.77057489265704E-43
x2 : -3.97187500000000E-01 -1.49669846677857E-45
y2 : 3.68572446290782E-02 -1.18615670858622E-42
z2 : 1.80136299322543E+00 -1.33170925211691E-43
x3 : 1.28892076284168E+00 -4.22154516070031E-44
y3 : 3.57139933658504E-01 4.95890444084475E-44
z3 : 3.41905928051848E-01 3.19488295477207E-43
===========================================================
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -7.53351901004135E-01 -4.36525664759936E-35
y1 : 5.82986827304929E-01 -1.21080438668871E-35
z1 : -5.33901931484037E-01 6.09081472377513E-35
x2 : -3.97187500000000E-01 4.47714270126398E-38
y2 : -1.79224079004278E+00 3.51787845347434E-35
z2 : 1.84770236646933E-01 1.76704562645256E-34
x3 : -6.19359113296997E-01 -3.62627968075898E-35
y3 : 1.10131615707616E-01 -3.26431727699111E-35
z3 : -1.00147425926630E+00 8.57619862830868E-35
===========================================================
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.41111035814943E+00 -1.05571993852573E+01
y1 : -1.11444903155913E+01 -3.60166955233149E+00
z1 : -1.20781906139012E+00 3.41690191995156E+00
x2 : -3.97187500000000E-01 7.60011165303484E-30
y2 : 6.03162719189098E-02 9.90019647861061E-01
z2 : 2.05514286444033E+00 -2.90560307600381E-02
x3 : 5.00047689378091E+00 5.61215031457144E+00
y3 : 5.84169934021285E+00 -2.66885185496370E+00
z3 : 4.24607581166635E+00 -4.20041425584203E+00
===========================================================
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.24832555668770E-01 -3.10875852060892E-42
y1 : -5.61397427180790E-01 -1.62064988880990E-42
z1 : -1.48262175655007E-01 5.88508322026460E-42
x2 : -3.97187500000000E-01 -3.44951033686745E-42
y2 : 1.20364727903326E+00 -9.79535862574426E-42
z2 : -1.34070888619401E+00 -1.18258668762512E-41
x3 : 9.93173184314215E-01 -5.23983302370560E-42
y3 : 8.76873571479193E-02 -3.31723296062942E-42
z3 : 3.66391527050073E-02 1.02236254552706E-42
===========================================================
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.51664652259260E-01 1.18435203899897E-01
y1 : 9.43285027311184E-01 -7.62481850160367E-02
z1 : -4.44938486415369E-01 -2.81874394549227E-01
x2 : -3.97187500000000E-01 3.58839527633856E-32
y2 : -2.70543524413652E-01 6.36857625120939E-01
z2 : 1.89392111946294E+00 9.09740668073788E-02
x3 : -8.62910696426389E-01 -6.74601131887605E-01
y3 : -1.71699847062901E-01 2.13799541238411E-01
z3 : -4.50529715455257E-01 2.07146594145172E-01
===========================================================
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -5.13765913689658E-01 9.29248470834188E-44
y1 : -4.02040338567713E-01 -1.13951945306946E-43
z1 : 8.75712368357895E-01 4.77685326320178E-44
x2 : -3.97187500000000E-01 8.65728792445681E-45
y2 : 1.75913297406388E+00 1.72184038343161E-44
z2 : -3.89510294350373E-01 1.27035679334730E-43
x3 : -1.90107783864834E-01 2.12868216588040E-43
y3 : 1.27320250792110E-01 -1.59482353876415E-44
z3 : 1.14992539035157E+00 7.98720738693017E-44
===========================================================
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.47847985949589E-01 7.24475898715818E-41
y1 : 5.18234841145665E-01 1.94477986657187E-41
z1 : 1.59627206183739E-01 -1.95659909660745E-41
x2 : -3.97187500000000E-01 4.11137396205979E-41
y2 : -1.29010194920263E+00 -1.25380590409526E-40
z2 : 1.25773767157836E+00 -7.09552012575073E-41
x3 : 1.07676727911179E+00 -2.51511985137869E-41
y3 : 3.52370234126145E-01 -5.81791626941160E-41
z3 : 8.04637863451363E-01 -6.54312029137321E-41
===========================================================
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.31242531037861E-01 -4.89815810847513E-34
y1 : 2.11799613513023E-01 1.22354969602228E-34
z1 : -8.65527463876592E-01 3.38521070963502E-34
x2 : -3.97187500000000E-01 2.89453109420001E-36
y2 : -1.57196053617992E+00 1.19145664409642E-34
z2 : 8.80458495635476E-01 2.97607684455168E-34
x3 : -1.13806647386946E+00 -3.34057279682040E-34
y3 : 1.06388212448939E-01 7.70592930961836E-35
z3 : -4.27135028382625E-01 4.28809931415435E-34
===========================================================
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 6.45762200930782E-01 -3.46018339685167E-41
y1 : -1.67451146323380E-01 -2.02581236101237E-42
z1 : -8.64531834835485E-01 6.03794252468706E-42
x2 : -3.97187500000000E-01 2.68096658305760E-43
y2 : 1.76992806959149E+00 -1.46930379386164E-42
z2 : 3.37078208010970E-01 7.39116679765701E-42
x3 : 7.16698057815403E-02 -1.67674656758579E-41
y3 : 1.03033687641844E-01 5.10343532404525E-43
z3 : -1.10416880282373E+00 1.38018943646154E-41
===========================================================
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.90068765115185E+00 7.99938295244261E+00
y1 : -5.89159624289682E+00 5.36046990884114E+00
z1 : -7.22070463327437E+00 -1.16027637932974E+00
x2 : -3.97187500000000E-01 6.82289781171077E-32
y2 : 1.31524734188190E+00 4.24787304085616E-01
z2 : -1.36538336113613E+00 4.09189381141201E-01
x3 : -7.48368182081418E-01 -4.07901426555947E+00
y3 : 6.08132720673979E+00 4.50593810884582E-01
z3 : -2.41027247199097E+00 1.89783240390497E+00
===========================================================
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.76222522188102E+00 -2.25601382968529E+00
y1 : -5.30726405899260E-01 -3.40974976009772E-01
z1 : -2.43443218060270E+00 1.70740796487254E+00
x2 : -3.97187500000000E-01 -1.52100241508788E-31
y2 : 1.80879716576422E+00 -1.10392481395847E-02
z2 : 1.04757018233379E-01 1.90610243435567E-01
x3 : -3.13207074319611E-01 -1.62600891961030E+00
y3 : 4.49105154709598E-01 -1.67128564166409E+00
z3 : -2.91412061063636E+00 8.93146449655552E-01
===========================================================
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.60927915037453E-01 -8.51188283602750E-01
y1 : 2.96903318580811E-01 2.23600559834163E-01
z1 : 1.35057031555164E+00 1.15292801937443E-01
x2 : -3.97187500000000E-01 5.35455469992301E-32
y2 : 1.58367243700197E+00 -2.31508118725501E-01
z2 : -9.67226981458723E-01 -3.79055830323114E-01
x3 : 5.01336328968349E-01 -1.89993451405436E+00
y3 : -9.25382696154252E-01 -2.75038127785783E-01
z3 : 6.37698531378698E-01 6.16577442932776E-01
===========================================================
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.59361304931823E-01 7.08645559675221E-36
y1 : -1.14536036212683E-01 1.27453093335654E-35
z1 : 6.63960574126625E-01 -4.40782644483727E-37
x2 : -3.97187500000000E-01 -2.26917011589995E-39
y2 : 6.80577142510713E-01 -2.67050627125059E-35
z2 : -1.66825712734449E+00 -6.58767009861700E-36
x3 : -2.36579109387859E-01 -5.49436315266512E-36
y3 : -1.86544310915698E-01 8.02700969751911E-37
z3 : 4.04871505874547E-01 1.20602793210591E-36
===========================================================
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.06924880449655E-01 -1.13537267709195E-41
y1 : 1.12822207973228E-01 3.84904348592350E-42
z1 : -1.06626321480155E+00 3.97434191498388E-42
x2 : -3.97187500000000E-01 -7.98704627869241E-44
y2 : -1.66317221622769E+00 8.57093879752627E-43
z2 : 6.92910722252173E-01 1.29345418958998E-42
x3 : -7.92572473873798E-01 -8.64572448911427E-42
y3 : 3.59141187994599E-02 1.84999530496641E-42
z3 : -7.32688572275859E-01 5.36740336401709E-42
===========================================================
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.49613996223585E-01 -2.19640547651717E-43
y1 : -8.08220016454984E-01 -4.30485126715128E-43
z1 : -5.80595951933320E-01 1.91074130528072E-44
x2 : -3.97187500000000E-01 9.49508998166231E-45
y2 : -2.85694288028108E-02 -1.83662974232705E-43
z2 : 1.80151349636400E+00 9.23895849707127E-44
x3 : -4.86395530854822E-01 1.30995825592640E-43
y3 : -1.44236229493533E-01 -4.78447061629241E-44
z3 : -4.46645777008107E-01 6.38976590954415E-44
===========================================================
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.70249860420889E-01 -7.95842181275884E-40
y1 : -2.67972394831736E-01 1.47479139881701E-40
z1 : -9.48430210601854E-01 2.73923873525043E-40
x2 : -3.97187500000000E-01 1.06975034941637E-40
y2 : 1.69609054813755E+00 1.56725738011908E-41
z2 : 6.07901260372304E-01 1.89213870020019E-40
x3 : -8.95358221355674E-01 -6.03628764330885E-40
y3 : 2.51314507461867E-01 -3.26619860738897E-41
z3 : -1.04739482331590E+00 3.31245464750769E-40
===========================================================
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.12970217447204E+00 -2.85539557121356E-01
y1 : -4.81112547431015E-01 4.77265621986960E-01
z1 : -7.41109017768564E-01 -7.45090296479987E-01
x2 : -3.97187500000000E-01 5.02638552979145E-31
y2 : -2.51735932126628E+00 -4.63096963472948E-01
z2 : 6.42763329149331E-01 -1.81370250103035E+00
x3 : 3.69517980821657E-01 -4.12224408148848E-01
y3 : -4.03690539639678E-01 1.17105598424810E-01
z3 : -4.57678328543319E-01 -9.86487970679366E-01
===========================================================
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.02465879869054E+00 1.05596417140249E-43
y1 : 3.56291264945708E-02 -1.07621281678782E-43
z1 : 3.75857568250670E-01 -1.91074130528072E-44
x2 : -3.97187500000000E-01 2.22017545159457E-44
y2 : 1.26462869909052E+00 -3.06104957054509E-44
z2 : -1.28334770942265E+00 -0.00000000000000E+00
x3 : 3.79655252330549E-01 -1.63744781990800E-44
y3 : -1.53848099986028E-01 -5.98058827036554E-45
z3 : 2.85089700432471E-01 0.00000000000000E+00
===========================================================
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 8.20201863228470E-01 3.60925253897334E-48
y1 : 6.50130738926866E-01 -5.60269913381182E-48
z1 : 3.11549235047937E-01 -4.66489576484549E-48
x2 : -3.97187500000000E-01 1.09088809531966E-48
y2 : 6.53035213444466E-02 1.12098983296329E-47
z2 : -1.80055617517026E+00 -5.63901275456011E-48
x3 : 9.81087705339315E-01 9.99418835393063E-48
y3 : 7.97362227120991E-02 3.65026139548677E-48
z3 : -1.85050660608453E-02 -0.00000000000000E+00
===========================================================
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.24033336703691E-01 -6.75817069697591E-42
y1 : -6.84488003521169E-01 -1.62064988880990E-42
z1 : -7.37655680110672E-01 -4.89149774151862E-42
x2 : -3.97187500000000E-01 -3.48525655797488E-42
y2 : -7.68706520759768E-01 1.95907172514886E-42
z2 : 1.62952673337541E+00 2.95646671906281E-42
x3 : 6.42714680699141E-02 -7.27026832039152E-42
y3 : -1.64821139715059E-01 5.10343532404525E-43
z3 : -4.91306845043299E-01 -3.06708763658120E-42
===========================================================
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.49674132550947E+00 1.30129037752096E+00
y1 : -2.03108584682287E+00 2.95027772577835E-02
z1 : 1.16619457280153E+00 -3.85043222714373E+00
x2 : -3.97187500000000E-01 3.18755509853904E-31
y2 : -1.89241784269248E+00 1.73249266404645E-01
z2 : -4.57277000068823E-01 -7.16983366598777E-01
x3 : 3.69016259239375E+00 1.63894913563023E+00
y3 : -1.20089422667598E+00 7.37413413625633E-02
z3 : 1.39320947414899E+00 -4.29990435152624E+00
===========================================================
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.05989335239952E+00 -8.65045849212916E-42
y1 : -2.44995777916945E-01 -1.94477986657187E-41
z1 : -9.52215854844104E-02 5.38064751567049E-41
x2 : -3.97187500000000E-01 -9.50402653693917E-42
y2 : 1.79373551975195E+00 -5.48540083041679E-41
z2 : -1.69646618073993E-01 -1.89213870020019E-40
x3 : 1.09864715987124E+00 -4.61105306086093E-41
y3 : 2.10483876737831E-01 -2.85792378146534E-41
z3 : 4.05983389153723E-01 -2.45367010926496E-41
===========================================================
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.12970217447204E+00 2.85539557121357E-01
y1 : -4.81112547431014E-01 -4.77265621986961E-01
z1 : -7.41109017768565E-01 7.45090296479987E-01
x2 : -3.97187500000000E-01 9.01342329179742E-32
y2 : -2.51735932126628E+00 4.63096963472947E-01
z2 : 6.42763329149330E-01 1.81370250103035E+00
x3 : 3.69517980821657E-01 4.12224408148848E-01
y3 : -4.03690539639678E-01 -1.17105598424810E-01
z3 : -4.57678328543319E-01 9.86487970679366E-01
===========================================================
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.51664652259260E-01 -1.18435203899896E-01
y1 : 9.43285027311184E-01 7.62481850160367E-02
z1 : -4.44938486415369E-01 2.81874394549227E-01
x2 : -3.97187500000000E-01 -7.06605585241396E-32
y2 : -2.70543524413651E-01 -6.36857625120939E-01
z2 : 1.89392111946294E+00 -9.09740668073787E-02
x3 : -8.62910696426389E-01 6.74601131887605E-01
y3 : -1.71699847062901E-01 -2.13799541238411E-01
z3 : -4.50529715455257E-01 -2.07146594145172E-01
===========================================================
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -7.96340607593661E-01 1.14186052096105E-38
y1 : 6.45101520466892E-01 9.43866495242882E-39
z1 : -3.77027406150615E-01 -1.06830310674767E-38
x2 : -3.97187500000000E-01 1.12189514945684E-40
y2 : -8.80272341950868E-01 7.89897719580019E-38
z2 : 1.57206478678205E+00 5.37367390856856E-38
x3 : -8.67859631690733E-01 -2.08587273007673E-38
y3 : -2.45793504776309E-02 2.67828285805895E-39
z3 : -4.58160385161520E-01 2.05453977149119E-38
===========================================================
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.49674132550946E+00 -1.30129037752096E+00
y1 : -2.03108584682287E+00 -2.95027772577844E-02
z1 : 1.16619457280153E+00 3.85043222714372E+00
x2 : -3.97187500000000E-01 -2.15547444640150E-30
y2 : -1.89241784269249E+00 -1.73249266404647E-01
z2 : -4.57277000068827E-01 7.16983366598781E-01
x3 : 3.69016259239373E+00 -1.63894913563023E+00
y3 : -1.20089422667598E+00 -7.37413413625644E-02
z3 : 1.39320947414899E+00 4.29990435152623E+00
===========================================================
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.53729869852464E-01 -4.75775217067104E-40
y1 : 5.56043842813968E-01 -9.07563937733543E-41
z1 : -3.92968897230255E-01 6.94592679295645E-40
x2 : -3.97187500000000E-01 -7.88204175418935E-42
y2 : -1.69349464221869E+00 8.03219407311029E-40
z2 : 6.15095916601908E-01 2.51890964464152E-39
x3 : -7.06354608096206E-01 -4.61105306086093E-40
y3 : 3.29255260953962E-02 -4.12357574182857E-40
z3 : -7.98921799591847E-01 1.12050934989766E-39
===========================================================
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 8.64657630748941E-02 1.82086718997155E+00
y1 : -2.60013311576901E-01 -2.44191989277683E-01
z1 : 2.12212319368553E+00 -1.04110750727843E-01
x2 : -3.97187500000000E-01 1.96056646172370E-31
y2 : 1.87677828745565E+00 5.47072413549543E-02
z2 : -1.85203921491711E-01 5.54380068816036E-01
x3 : 7.94652470812097E-01 2.72061893048497E+00
y3 : -1.26866634186489E+00 6.13793896384178E-01
z3 : 1.36239312623849E+00 -4.04504075147711E-01
===========================================================
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.90068765115185E+00 -7.99938295244261E+00
y1 : -5.89159624289682E+00 -5.36046990884114E+00
z1 : -7.22070463327437E+00 1.16027637932974E+00
x2 : -3.97187500000000E-01 9.52901543714065E-32
y2 : 1.31524734188190E+00 -4.24787304085616E-01
z2 : -1.36538336113613E+00 -4.09189381141201E-01
x3 : -7.48368182081418E-01 4.07901426555947E+00
y3 : 6.08132720673979E+00 -4.50593810884582E-01
z3 : -2.41027247199097E+00 -1.89783240390497E+00
===========================================================
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.55699779552188E-01 9.89966410689834E-46
y1 : -6.90618194317837E-01 -0.00000000000000E+00
z1 : 7.12634703472443E-01 2.23914996712583E-46
x2 : -3.97187500000000E-01 8.72710476255727E-48
y2 : -3.40997139038411E-01 -1.13593636406947E-45
z2 : -1.76917722148217E+00 1.97365446409604E-46
x3 : -6.63399245758240E-01 7.67553665581873E-46
y3 : -9.85596027349678E-02 -4.67233458622309E-46
z3 : 4.54763503315025E-01 5.52283654438976E-46
===========================================================
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.93052559517862E-01 -8.00222848640946E-46
y1 : 4.34015781147816E-01 -1.83613974371544E-45
z1 : -1.33943703658158E-01 -9.81494068923492E-45
x2 : -3.97187500000000E-01 8.18166071489744E-47
y2 : -5.02507786785961E-01 3.87414086272112E-44
z2 : 1.73024651829248E+00 7.27432645338253E-45
x3 : 1.26337434367337E+00 2.93029602537247E-45
y3 : 3.73997952644466E-01 -7.28105473019764E-46
z3 : 4.85325214722802E-01 -1.09200100993186E-44
===========================================================
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.35155706358641E-01 -8.24972008908190E-47
y1 : 5.91094683545441E-01 -1.05098907889436E-46
z1 : 3.81557362949416E-01 1.67936247534437E-46
x2 : -3.97187500000000E-01 3.05448666689505E-47
y2 : -1.76908191866830E+00 3.58716746548252E-46
z2 : -3.41491222265833E-01 -5.75179300965130E-46
x3 : -8.17068047668791E-01 6.39628054651563E-47
y3 : 9.80941487574727E-02 -1.58664695323825E-46
z3 : 8.47168047214600E-01 -1.40400129848382E-46
===========================================================
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.17377439151422E-01 -8.07855938029755E-36
y1 : 3.30749510989353E-01 -5.43799864898791E-35
z1 : 6.44176127271546E-01 1.28227678395266E-36
x2 : -3.97187500000000E-01 1.96466807616954E-37
y2 : -2.54264100258083E-02 8.21694237307873E-35
z2 : -1.80156059779208E+00 2.40256203596620E-35
x3 : -3.92866299098061E-01 1.86808347190614E-35
y3 : -1.60367744054177E-01 -2.54188640421439E-36
z3 : 4.47290033884782E-01 -3.88609000345238E-36
===========================================================
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 8.64657630748941E-02 -1.82086718997155E+00
y1 : -2.60013311576900E-01 2.44191989277683E-01
z1 : 2.12212319368553E+00 1.04110750727844E-01
x2 : -3.97187500000000E-01 1.52752161623388E-32
y2 : 1.87677828745565E+00 -5.47072413549544E-02
z2 : -1.85203921491711E-01 -5.54380068816036E-01
x3 : 7.94652470812097E-01 -2.72061893048497E+00
y3 : -1.26866634186489E+00 -6.13793896384178E-01
z3 : 1.36239312623849E+00 4.04504075147712E-01
===========================================================
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -8.42970867656280E-01 -3.78457559030651E-42
y1 : 6.08348452846329E-01 -2.65887872382873E-42
z1 : -3.34329592172590E-01 3.97434191498388E-42
x2 : -3.97187500000000E-01 1.09472802141519E-43
y2 : -1.19919019185755E+00 -2.10600210453502E-41
z2 : 1.34469698207306E+00 -1.13639189513977E-41
x3 : -7.84565608446585E-01 6.28779962844672E-42
y3 : -3.40734253075663E-02 -1.36357412564334E-42
z3 : -5.44217553156221E-01 -4.60063145487179E-42
===========================================================
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.41111035814941E+00 1.05571993852573E+01
y1 : -1.11444903155913E+01 3.60166955233147E+00
z1 : -1.20781906139012E+00 -3.41690191995156E+00
x2 : -3.97187500000000E-01 4.87377656061346E-33
y2 : 6.03162719189093E-02 -9.90019647861061E-01
z2 : 2.05514286444033E+00 2.90560307600379E-02
x3 : 5.00047689378091E+00 -5.61215031457144E+00
y3 : 5.84169934021285E+00 2.66885185496369E+00
z3 : 4.24607581166635E+00 4.20041425584203E+00
===========================================================
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 7.39531070933881E-01 3.37908534848795E-43
y1 : -7.29179210834609E-01 2.57183209894148E-43
z1 : 3.37424767333409E-01 -7.64296522112285E-44
x2 : -3.97187500000000E-01 1.73145758489137E-44
y2 : -7.79438832082112E-02 9.18314871163523E-44
z2 : -1.80005328835403E+00 5.77434906066955E-45
x3 : 3.92434393156963E-01 2.61991651185280E-43
y3 : -1.47049721511945E-01 1.79417648110966E-44
z3 : 3.08803901917405E-01 -3.19488295477208E-44
===========================================================