9 9.54092867583359E-01*x1**2+ 9.54092867583359E-01*y1**2+ 9.54092867583359E-01*z1**2-1.13772139724992E+00; 5.43572795268742E-01*x2**2+ 5.43572795268742E-01*y2**2+ 5.43572795268742E-01*z2**2-1.08714559053748E+00*x2-2.28213602365629E+00; 7.81600091707744E-01*x3**2+ 7.81600091707744E-01*y3**2+ 7.81600091707744E-01*z3**2+ 1.56320018341549E-01*x3-2.81219712996446E+00*y3 -6.86682576570756E-01; 1.12433011006630E+00*x1*x2+ 1.12433011006630E+00*y1*y2+ 1.12433011006630E+00*z1*z2-1.12433011006630E+00*x2+ 5.02679559734816E-01; 1.05181466955401E+00*x1*x3+ 1.05181466955401E+00*y1*y3+ 1.05181466955401E+00*z1*z3+ 1.05181466955401E-01*x3-1.89221459052767E+00*y3 -8.47159933854882E-01; 1.18650070685780E+00*x2*x3+ 1.18650070685780E+00*y2*y3+ 1.18650070685780E+00*z2*z3-1.18650070685780E+00*x2+ 1.18650070685780E-01*x3 -2.13451477163718E+00*y3-8.32330245860744E-04; -6.39591378383803E-01*x1*y2*z3+ 6.39591378383803E-01*x1*z2*y3+ 6.39591378383803E-01*y1*x2*z3-6.39591378383803E-01*y1*z2*x3-6.39591378383803E-01*z1*x2*y3+ 6.39591378383803E-01*z1*y2*x3+ 1.16277712590175E+00*x1*y2+ 1.13207673973933E-02*x1*z2 -1.16277712590175E+00*x1*y3-1.13207673973933E-02*x1*z3-1.16277712590175E+00*y1*x2+ 3.47937709840789E-01*y1*z2+ 1.16277712590175E+00*y1*x3-3.47937709840789E-01*y1*z3 -1.13207673973933E-02*z1*x2-3.47937709840789E-01*z1*y2+ 1.13207673973933E-02*z1*x3+ 3.47937709840789E-01*z1*y3+ 1.16277712590175E+00*x2*y3+ 1.13207673973933E-02*x2*z3 -1.16277712590175E+00*y2*x3+ 3.47937709840789E-01*y2*z3-1.13207673973933E-02*z2*x3 -3.47937709840789E-01*z2*y3-2.03995206640848E+00*x1+ 6.63734403960113E-02*y1 -6.81733981016658E+00*z1+ 2.13713454346801E-01*x2+ 8.29545645161926E-03*y2-8.52041798251063E-01 *z2+ 1.64421548295483E+00*x3-4.63827060230442E+00*y3+ 4.64158967082591E+00* z3-1.08446328751850E-01; 9.73909033873207E-01*x1*y2*z3-9.73909033873207E-01*x1*z2*y3 -9.73909033873207E-01*y1*x2*z3+ 9.73909033873207E-01*y1*z2*x3+ 9.73909033873207E-01*z1*x2*y3 -9.73909033873207E-01*z1*y2*x3+ 1.76472316937825E+00*x1*y2+ 1.33425537640629E+00*x1*z2 -1.76472316937825E+00*x1*y3-1.33425537640629E+00*x1*z3-1.76472316937825E+00*y1*x2+ 1.00896975909264E+00*y1*z2+ 1.76472316937825E+00*y1*x3-1.00896975909264E+00*y1*z3 -1.33425537640629E+00*z1*x2-1.00896975909264E+00*z1*y2+ 1.33425537640629E+00*z1*x3+ 1.00896975909264E+00*z1*y3+ 1.76472316937825E+00*x2*y3+ 1.33425537640629E+00*x2*z3 -1.76472316937825E+00*y2*x3+ 1.00896975909264E+00*y2*z3-1.33425537640629E+00*z2*x3 -1.00896975909264E+00*z2*y3+ 2.95184898583761E-01*x1-3.90350686351112E-01*y1+ 5.16288645013296E-01*z1+ 4.99000016244640E-01*x2-3.35771130773653E-01*y2+ 4.44100210921065E-01 *z2+ 1.98673078354834E-01*x3+ 9.10584942459657E-02*y3+ 3.84610702968974E-01 *z3+ 3.53818104040334E-01; 1.43144710355625E+00*x2+ 5.68552896443749E-01; TITLE : parallel robot with 24 real solutions, after equation 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). 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 : 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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 ===========================================================