5
4*x1^3+ 3*x1^2*x2+ 3*x1^2*x3+ 3*x1^2*x4+ 3*x1^2*x5+ 3*x1*x2^2+ 3*x1*x3^2+ 3*
x1*x4^2+ 3*x1*x5^2+x2^3+x3^3+x4^3+x5^3+ 2*x1^2+ 3*x1*x2+ 3*x1*x3+ 3*x1*x4+ 3*
x1*x5-x2^2-x3^2-x4^2-x5^2-6*x1;
x1^3+ 3*x1^2*x2+ 3*x1*x2^2+ 4*x2^3+ 3*x2^2*x3+ 3*x2^2*x4+ 3*x2^2*x5+ 3*x2*
x3^2+ 3*x2*x4^2+ 3*x2*x5^2+x3^3+x4^3+x5^3-x1^2+ 3*x1*x2+ 2*x2^2+ 3*x2*x3+ 3*
x2*x4+ 3*x2*x5-x3^2-x4^2-x5^2-6*x2;
x1^3+ 3*x1^2*x3+ 3*x1*x3^2+x2^3+ 3*x2^2*x3+ 3*x2*x3^2+ 4*x3^3+ 3*x3^2*x4+ 3*
x3^2*x5+ 3*x3*x4^2+ 3*x3*x5^2+x4^3+x5^3-x1^2+ 3*x1*x3-x2^2+ 3*x2*x3+ 2*x3^2+
3*x3*x4+ 3*x3*x5-x4^2-x5^2-6*x3;
x1^3+ 3*x1^2*x4+ 3*x1*x4^2+x2^3+ 3*x2^2*x4+ 3*x2*x4^2+x3^3+ 3*x3^2*x4+ 3*x3*
x4^2+ 4*x4^3+ 3*x4^2*x5+ 3*x4*x5^2+x5^3-x1^2+ 3*x1*x4-x2^2+ 3*x2*x4-x3^2+ 3*
x3*x4+ 2*x4^2+ 3*x4*x5-x5^2-6*x4;
x1^3+ 3*x1^2*x5+ 3*x1*x5^2+x2^3+ 3*x2^2*x5+ 3*x2*x5^2+x3^3+ 3*x3^2*x5+ 3*x3*
x5^2+x4^3+ 3*x4^2*x5+ 3*x4*x5^2+ 4*x5^3-x1^2+ 3*x1*x5-x2^2+ 3*x2*x5-x3^2+ 3*
x3*x5-x4^2+ 3*x4*x5+ 2*x5^2-6*x5;
TITLE : 5-dimensional system of Caprasse and Demaret
ROOT COUNTS :
total degree : 243
1-homogeneous Bezout number : 243
with partition : {x1 x2 x3 x4 x5 }
generalized Bezout number : 243
based on the set structure :
{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }
{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }
{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }
{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }
{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }{x1 x2 x3 x4 x5 }
mixed volume : 242
TIMINGS ON IDEFIX :
| 0h 0m18s683ms | 0h 2m27s225ms | 0h 9m51s598ms | 0h12m43s370ms |
REFERENCES :
Karin Gatermann:
"Symbolic solution of polynomial equation systems with symmetry",
Proceedings of ISSAC-90, pp 112-119, ACM New York, 1990.
NOTE :
The system is invariant under the full permutation group.
There are 16 generating regular solutions:
1*30 + 2*20 + 6*10 + 5*5 + 2*1 = 157.
THE GENERATING SOLUTIONS :
70 5
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 10
the solution for t :
x1 : -7.14528281929819E-01 2.52510084749171E-01
x2 : -6.59289338833372E-01 -1.92751663923179E-01
x3 : -7.14528281929819E-01 2.52510084749171E-01
x4 : -6.59289338833372E-01 -1.92751663923179E-01
x5 : -6.59289338833372E-01 -1.92751663923179E-01
== err : 3.686E-16 = rco : 4.506E-02 = res : 2.289E-15 ==
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.83942224305208E-11 -2.73185706878767E-09
x2 : -1.08730803438954E-10 -2.24035535646042E-09
x3 : 1.17268037991046E-09 1.70277769599000E-09
x4 : -1.01555535404099E-09 3.26943472925809E-09
x5 : 1.00000000000000E+00 -7.92068212766022E-25
== err : 3.424E-09 = rco : 1.408E-10 = res : 4.745E-17 ==
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 10
the solution for t :
x1 : -1.41249176055410E-01 2.18721386387620E-01
x2 : 7.04722661876695E-01 -1.70177633386801E-01
x3 : 7.04722661876695E-01 -1.70177633386801E-01
x4 : -1.41249176055410E-01 2.18721386387620E-01
x5 : -1.41249176055410E-01 2.18721386387620E-01
== err : 5.094E-16 = rco : 6.857E-02 = res : 8.400E-16 ==
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 10
the solution for t :
x1 : -2.46444379946875E-01 -2.81115427257892E-01
x2 : 5.31788514888782E-01 1.01543895901308E-01
x3 : 5.31788514888782E-01 1.01543895901308E-01
x4 : 5.31788514888782E-01 1.01543895901308E-01
x5 : -2.46444379946875E-01 -2.81115427257892E-01
== err : 6.214E-16 = rco : 4.392E-02 = res : 8.331E-16 ==
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000385E+00 -1.13181040361968E-13
x2 : 2.00581949817066E-06 -1.23595570918621E-07
x3 : -2.00582650182479E-06 1.23596436887828E-07
x4 : 2.00582081803173E-06 -1.23595608287217E-07
x5 : -2.00582536068879E-06 1.23595081861131E-07
== err : 6.438E-07 = rco : 4.517E-12 = res : 3.315E-12 ==
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000120E+00 3.22532856343824E-12
x2 : 1.33105248505530E-06 -4.46273869878504E-07
x3 : -1.33105253465193E-06 4.46260505961555E-07
x4 : 1.33104484500407E-06 -4.46268334699166E-07
x5 : -1.33104838214523E-06 4.46272022630425E-07
== err : 2.105E-06 = rco : 4.202E-12 = res : 3.544E-11 ==
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 20
the solution for t :
x1 : 7.03055190851750E-18 -6.44073062647062E-88
x2 : 7.03055190851727E-18 3.92727477223818E-88
x3 : -5.64579455317661E-01 -7.60909487121148E-89
x4 : 1.29663026288654E+00 -9.32727758406568E-90
x5 : 7.40711867277992E-18 2.47418310651005E-88
== err : 1.813E-15 = rco : 5.905E-02 = res : 1.256E-16 ==
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 5
the solution for t :
x1 : 5.39470704070311E-01 -4.55433475784457E-93
x2 : 5.39470704070311E-01 -4.73411112986475E-93
x3 : -1.03307267830805E+00 2.58877975709060E-92
x4 : 5.39470704070311E-01 -4.58429748651460E-93
x5 : 5.39470704070311E-01 -4.07493109912409E-93
== err : 4.015E-15 = rco : 7.320E-02 = res : 1.332E-15 ==
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 10
the solution for t :
x1 : -2.46444379946875E-01 2.81115427257892E-01
x2 : 5.31788514888781E-01 -1.01543895901308E-01
x3 : 5.31788514888781E-01 -1.01543895901308E-01
x4 : -2.46444379946875E-01 2.81115427257892E-01
x5 : 5.31788514888782E-01 -1.01543895901308E-01
== err : 1.178E-15 = rco : 4.458E-02 = res : 6.684E-16 ==
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 10
the solution for t :
x1 : -7.14528281929819E-01 -2.52510084749171E-01
x2 : -6.59289338833372E-01 1.92751663923179E-01
x3 : -6.59289338833372E-01 1.92751663923179E-01
x4 : -6.59289338833372E-01 1.92751663923179E-01
x5 : -7.14528281929819E-01 -2.52510084749171E-01
== err : 4.317E-16 = rco : 4.900E-02 = res : 2.047E-15 ==
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.41682034998645E-07 4.60256070777176E-07
x2 : -2.41687210918473E-07 -4.60246591389333E-07
x3 : 1.00000000000052E+00 -9.73174768028820E-13
x4 : 2.41683784909837E-07 4.60252678133532E-07
x5 : -2.41680174665929E-07 -4.60259237997071E-07
== err : 1.172E-06 = rco : 9.639E-13 = res : 1.099E-11 ==
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 30
the solution for t :
x1 : 3.99999999999998E+00 -3.07063870414130E-15
x2 : 2.44491619191890E-15 2.44948974278317E+00
x3 : -1.67719179690985E-15 -2.44948974278317E+00
x4 : -1.64305366824672E-15 -2.44948974278317E+00
x5 : 1.86061920693788E-15 2.44948974278317E+00
== err : 6.162E-14 = rco : 1.735E-03 = res : 8.527E-14 ==
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 10
the solution for t :
x1 : -1.41249176055410E-01 -2.18721386387620E-01
x2 : 7.04722661876694E-01 1.70177633386801E-01
x3 : -1.41249176055410E-01 -2.18721386387620E-01
x4 : 7.04722661876695E-01 1.70177633386801E-01
x5 : -1.41249176055410E-01 -2.18721386387620E-01
== err : 7.330E-16 = rco : 7.149E-02 = res : 4.344E-16 ==
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -9.47234556715119E-07 -4.98918687084268E-07
x2 : 9.47230332365349E-07 4.98920847972896E-07
x3 : 1.00000000000110E+00 3.48884930533935E-13
x4 : 9.47232899822851E-07 4.98918634250396E-07
x5 : -9.47231982888635E-07 -4.98921841793815E-07
== err : 8.658E-07 = rco : 1.582E-12 = res : 5.996E-12 ==
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 20
the solution for t :
x1 : -1.36602540378444E+00 9.30604859102100E-01
x2 : 1.47301762038126E-16 -2.40510607563068E-16
x3 : 1.16448289217466E-16 -2.64807509197290E-16
x4 : -1.36602540378444E+00 -9.30604859102100E-01
x5 : 3.25450723314038E-16 -7.06830322662388E-17
== err : 1.213E-15 = rco : 5.692E-02 = res : 1.099E-14 ==
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 5
the solution for t :
x1 : 4.19280598356873E-01 -6.75616933617679E-85
x2 : 4.19280598356873E-01 1.00538234169297E-86
x3 : 4.19280598356873E-01 1.41557833710371E-84
x4 : -3.98321789535573E-01 -1.60861174670876E-86
x5 : 4.19280598356873E-01 -4.10195995410734E-85
== err : 3.605E-16 = rco : 9.766E-02 = res : 8.882E-16 ==
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 5
the solution for t :
x1 : -6.18542962347862E-01 1.26253786807459E-01
x2 : -6.18542962347862E-01 1.26253786807459E-01
x3 : -6.18542962347862E-01 1.26253786807459E-01
x4 : -6.18542962347862E-01 1.26253786807459E-01
x5 : -8.09522762847745E-01 -3.22354838770713E-01
== err : 7.190E-16 = rco : 4.430E-02 = res : 9.992E-16 ==
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
x1 : 1.20748996751590E-08 -1.03588355124174E-06
x2 : 9.99999999999212E-01 4.51922453873987E-13
x3 : -1.20749691809630E-08 1.03587629140883E-06
x4 : -1.20717836281458E-08 1.03589059954204E-06
x5 : 1.20742174665521E-08 -1.03588469547649E-06
== err : 7.453E-07 = rco : 1.304E-12 = res : 4.444E-12 ==
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.76488304420505E-06 4.02416865306740E-08
x2 : 1.76487585678768E-06 -4.02415207542454E-08
x3 : 1.76487557023133E-06 -4.02414881448511E-08
x4 : 1.00000000000299E+00 -1.00010715927163E-13
x5 : -1.76487735268394E-06 4.02416224005702E-08
== err : 3.608E-07 = rco : 3.192E-12 = res : 1.042E-12 ==
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -3.39288278774108E-07 -1.09723499520237E-06
x2 : 9.99999999999023E-01 1.30411280524220E-12
x3 : -3.39288094837170E-07 -1.09724184823549E-06
x4 : 3.39289213656249E-07 1.09723951131343E-06
x5 : 3.39290091461178E-07 1.09723341978602E-06
== err : 7.554E-07 = rco : 9.354E-13 = res : 4.565E-12 ==
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 5
the solution for t :
x1 : -8.09522762847745E-01 3.22354838770713E-01
x2 : -6.18542962347862E-01 -1.26253786807459E-01
x3 : -6.18542962347862E-01 -1.26253786807459E-01
x4 : -6.18542962347862E-01 -1.26253786807459E-01
x5 : -6.18542962347862E-01 -1.26253786807459E-01
== err : 5.918E-16 = rco : 3.586E-02 = res : 1.617E-15 ==
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.12443080584216E-06 -8.82439167417479E-06
x2 : 2.12443585149308E-06 -8.82439006869776E-06
x3 : 9.99999999934887E-01 -3.31426461382853E-11
x4 : -2.12425711171936E-06 8.82445986676751E-06
x5 : -2.12441420528640E-06 8.82442130404364E-06
== err : 3.053E-06 = rco : 1.055E-10 = res : 7.457E-11 ==
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.63357974448310E-08 -2.73448055100480E-08
x2 : -3.63294908447495E-08 3.26151157471226E-08
x3 : 2.13360653665632E-08 -1.31105558574512E-08
x4 : 1.00000000000000E+00 -5.01602678243805E-18
x5 : -1.13423722197688E-08 7.84024563542466E-09
== err : 4.868E-08 = rco : 2.008E-09 = res : 9.078E-15 ==
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -9.33362447183088E-07 5.56376754631716E-07
x2 : 1.00000000000021E+00 -9.56249087878385E-13
x3 : 9.33362014696560E-07 -5.56374978419852E-07
x4 : -9.33361756080783E-07 5.56376413932018E-07
x5 : 9.33361555165149E-07 -5.56375321396619E-07
== err : 6.000E-07 = rco : 1.682E-12 = res : 2.880E-12 ==
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000000E+00 -2.06678053507989E-17
x2 : 7.98651612925928E-08 -5.37279424969728E-08
x3 : 3.23807574747865E-08 3.28659814414440E-08
x4 : -9.30489800490665E-08 -2.39933238120156E-08
x5 : -1.91969388032839E-08 4.48552849295448E-08
== err : 9.624E-08 = rco : 1.252E-08 = res : 2.226E-14 ==
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 6.58856928345159E-07 7.91534602665034E-07
x2 : -6.58856730832936E-07 -7.91535667852539E-07
x3 : 6.58857012438805E-07 7.91534417386401E-07
x4 : -6.58856751552365E-07 -7.91535837874826E-07
x5 : 9.99999999999847E-01 8.28558643284717E-13
== err : 4.670E-07 = rco : 1.273E-12 = res : 1.745E-12 ==
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 5
the solution for t :
x1 : 1.80043999353911E+00 2.92604772168262E-97
x2 : -3.46665377731460E-01 -1.31672147475718E-97
x3 : -3.46665377731460E-01 -9.40236152870886E-98
x4 : -3.46665377731460E-01 -1.02411670258892E-97
x5 : -3.46665377731460E-01 -8.77814316504787E-98
== err : 2.374E-16 = rco : 1.183E-01 = res : 4.441E-15 ==
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.22329769468137E-06 1.82284329366085E-07
x2 : -1.22329779059227E-06 1.82284223885365E-07
x3 : 1.22329321905719E-06 -1.82284813635897E-07
x4 : 1.00000000000158E+00 -2.71715883798281E-13
x5 : 1.22329753836482E-06 -1.82282924467902E-07
== err : 4.556E-07 = rco : 1.861E-12 = res : 1.661E-12 ==
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 6.85365101370553E-08 2.31833599918749E-07
x2 : 6.85363441237071E-08 2.31833818986850E-07
x3 : 1.00000000000102E+00 -1.98404988006356E-12
x4 : -6.85343382770471E-08 -2.31837660318179E-07
x5 : -6.85415893928744E-08 -2.31823806437780E-07
== err : 1.511E-06 = rco : 6.492E-13 = res : 1.827E-11 ==
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.06790054458823E-08 4.27015940310905E-08
x2 : 1.00000000000000E+00 -2.94701280788776E-17
x3 : 3.07749389853742E-08 -1.12137061576620E-08
x4 : -2.19195108929354E-08 2.35999538069697E-08
x5 : -2.95344336489430E-08 -5.50878415919878E-08
== err : 6.278E-08 = rco : 2.599E-09 = res : 9.065E-15 ==
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.58034329249613E-06 1.82383706665688E-07
x2 : -1.58035006957731E-06 -1.82383721130346E-07
x3 : 1.58034311694340E-06 1.82383777515276E-07
x4 : 1.00000000000239E+00 3.87101467298296E-13
x5 : -1.58034349729392E-06 -1.82384924355020E-07
== err : 4.527E-07 = rco : 3.018E-12 = res : 1.640E-12 ==
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.12741574648292E-06 4.06418735308416E-07
x2 : 1.00000000000467E+00 -8.98882226960542E-13
x3 : 2.12740972851169E-06 -4.06419724386414E-07
x4 : 2.12740368364328E-06 -4.06416613077725E-07
x5 : -2.12741167537045E-06 4.06420298802405E-07
== err : 9.413E-07 = rco : 6.040E-12 = res : 7.088E-12 ==
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000253E+00 1.19570926794940E-14
x2 : 1.56013353138360E-06 1.45580106215678E-08
x3 : 1.56013121833876E-06 1.45564503366529E-08
x4 : -1.56013800613712E-06 -1.45583828707133E-08
x5 : -1.56013433805935E-06 -1.45561139587857E-08
== err : 3.214E-07 = rco : 2.370E-12 = res : 8.261E-13 ==
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 5.10574130722525E-08 1.22618257726077E-08
x2 : -4.50335066213957E-08 -1.52250848973138E-08
x3 : 1.00000000000000E+00 -9.15557689383856E-16
x4 : -4.48430837311346E-08 -1.52666791934493E-08
x5 : 3.88191763104292E-08 1.82299410648284E-08
== err : 5.497E-08 = rco : 2.285E-10 = res : 2.083E-14 ==
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.99999999999173E-01 8.66825711488376E-13
x2 : -6.06570733166918E-07 -1.26223262765081E-06
x3 : 6.06567443587057E-07 1.26224041238278E-06
x4 : -6.06564169571726E-07 -1.26224590710479E-06
x5 : 6.06569940566573E-07 1.26223552189568E-06
== err : 8.801E-07 = rco : 3.000E-12 = res : 6.197E-12 ==
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.87975462243034E-07 1.22689993570450E-06
x2 : 9.99999999999392E-01 2.14933861370464E-12
x3 : -9.87976005234645E-07 -1.22690167953119E-06
x4 : -9.87975220534314E-07 -1.22690258693196E-06
x5 : 9.87977588609036E-07 1.22689788274281E-06
== err : 5.349E-07 = rco : 2.911E-12 = res : 2.289E-12 ==
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000092E+00 -1.23832328793530E-12
x2 : 1.23789425810892E-06 -6.35826328396672E-07
x3 : -1.23789476967823E-06 6.35829021062348E-07
x4 : -1.23789983536899E-06 6.35826440079815E-07
x5 : 1.23789757831565E-06 -6.35825417775628E-07
== err : 6.274E-07 = rco : 2.780E-12 = res : 3.149E-12 ==
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.06153488697881E-07 -1.41236741463083E-06
x2 : 9.99999999998420E-01 2.40203679331461E-12
x3 : 6.06156254067564E-07 1.41236257165849E-06
x4 : -6.06153449425084E-07 -1.41236514488342E-06
x5 : 6.06155423763572E-07 1.41236278174538E-06
== err : 8.315E-07 = rco : 3.014E-12 = res : 5.532E-12 ==
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.86084296316812E-07 -7.30778499410633E-07
x2 : -4.86082692944142E-07 7.30781403271460E-07
x3 : 9.99999999999692E-01 -6.67676337187957E-13
x4 : -4.86085536225188E-07 7.30778078171977E-07
x5 : 4.86084855890910E-07 -7.30778979003792E-07
== err : 2.095E-07 = rco : 9.828E-13 = res : 3.509E-13 ==
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 5.50298520182002E-08 2.83328368084155E-08
x2 : -5.17822724559726E-08 -3.15004716768060E-08
x3 : 1.00000000000000E+00 2.75165772160330E-15
x4 : -5.18516482893771E-08 -3.14515989860647E-08
x5 : 4.86040703829226E-08 3.46192255994820E-08
== err : 5.278E-08 = rco : 9.253E-11 = res : 1.799E-14 ==
solution 41 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000000E+00 -1.20234165680045E-16
x2 : -4.83072562020273E-08 -3.07063576874070E-08
x3 : 4.37818008702659E-08 3.35323593706863E-08
x4 : 3.97146192131285E-08 1.92823844114386E-08
x5 : -3.51891634539242E-08 -2.21083857340154E-08
== err : 5.868E-08 = rco : 3.152E-10 = res : 2.034E-14 ==
solution 42 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.17969080242938E-06 -5.40957311428327E-10
x2 : 1.17968682180604E-06 5.40954990659907E-10
x3 : 1.00000000000136E+00 8.27730422216852E-16
x4 : -1.17968189408058E-06 -5.40964738651929E-10
x5 : 1.17968178363661E-06 5.40964576229083E-10
== err : 1.672E-07 = rco : 1.352E-12 = res : 2.230E-13 ==
solution 43 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -9.24167979087086E-07 1.80601218827263E-07
x2 : 9.24162842104799E-07 -1.80602756817206E-07
x3 : -9.24167739255373E-07 1.80600948307571E-07
x4 : 1.00000000000114E+00 -4.06668631989315E-14
x5 : 9.24169447745892E-07 -1.80599288317039E-07
== err : 6.595E-07 = rco : 1.105E-12 = res : 3.480E-12 ==
solution 44 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.38862154187861E-07 6.48963368921438E-07
x2 : -6.38862235761796E-07 6.48963347224553E-07
x3 : 6.38862502218008E-07 -6.48962277217123E-07
x4 : 6.38861918764901E-07 -6.48962462825607E-07
x5 : 9.99999999999990E-01 -6.58701087533589E-13
== err : 4.129E-07 = rco : 8.654E-13 = res : 1.364E-12 ==
solution 45 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.65888989125180E-09 -3.55371249267651E-08
x2 : -5.85292629947695E-09 -3.36832735810937E-08
x3 : 1.31844607213824E-08 3.44145283436354E-08
x4 : -2.67264453061346E-09 3.48058701642695E-08
x5 : 1.00000000000000E+00 -1.53669253330835E-20
== err : 3.685E-08 = rco : 3.618E-10 = res : 9.561E-15 ==
solution 46 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.99999999998927E-01 -1.87904944722461E-12
x2 : -7.02027187320632E-07 1.22756306712486E-06
x3 : -7.02024896954381E-07 1.22756038104069E-06
x4 : 7.02028366868379E-07 -1.22755816108898E-06
x5 : 7.02026937519209E-07 -1.22755964992824E-06
== err : 4.079E-07 = rco : 1.619E-12 = res : 1.331E-12 ==
solution 47 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -1.54650597087958E-07 -7.78299677278527E-07
x2 : 9.99999999999030E-01 -6.72657388629456E-13
x3 : -1.54663194499264E-07 -7.78305279628151E-07
x4 : 1.54656730127230E-07 7.78304890814088E-07
x5 : 1.54659971096885E-07 7.78302084064756E-07
== err : 9.962E-07 = rco : 5.047E-13 = res : 7.939E-12 ==
solution 48 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.42060831046389E-06 3.65064047133631E-07
x2 : 1.00000000000208E+00 6.26489425951522E-13
x3 : -1.42061002648891E-06 -3.65065970060977E-07
x4 : 1.42060339068538E-06 3.65067038894502E-07
x5 : -1.42060791916345E-06 -3.65066995435433E-07
== err : 6.748E-07 = rco : 2.886E-12 = res : 3.643E-12 ==
solution 49 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.94682180954926E-07 1.16354890998851E-07
x2 : 6.94681695079244E-07 -1.16354725608351E-07
x3 : -6.94682271263906E-07 1.16354899230200E-07
x4 : 6.94681637823491E-07 -1.16354679361033E-07
x5 : 1.00000000000037E+00 -1.28419889113769E-13
== err : 3.186E-07 = rco : 6.497E-13 = res : 8.116E-13 ==
solution 50 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.99999999999347E-01 -2.45700483866080E-12
x2 : -1.08271790538082E-06 1.21985463231754E-06
x3 : -1.08271888742779E-06 1.21985422209211E-06
x4 : 1.08271871626140E-06 -1.21985165425562E-06
x5 : 1.08272003421151E-06 -1.21984982913952E-06
== err : 6.197E-07 = rco : 2.604E-12 = res : 3.072E-12 ==
solution 51 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.07774338776101E-06 -1.88645148968429E-07
x2 : -1.07774462552923E-06 1.88645598318364E-07
x3 : -1.07774475451970E-06 1.88645600070991E-07
x4 : 1.07774330782751E-06 -1.88645080374699E-07
x5 : 1.00000000000089E+00 -3.23015409133179E-13
== err : 4.958E-07 = rco : 1.579E-12 = res : 1.966E-12 ==
solution 52 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 8.43444323770434E-07 1.34648776748338E-06
x2 : 8.43444372217756E-07 1.34648770762209E-06
x3 : -8.43440044963702E-07 -1.34649475839431E-06
x4 : 9.99999999998792E-01 2.28667961615859E-12
x5 : -8.43445027372318E-07 -1.34648757675001E-06
== err : 3.276E-07 = rco : 3.213E-12 = res : 8.596E-13 ==
solution 53 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.00000000000063E+00 4.35812975294944E-13
x2 : -8.80830083174325E-07 -3.54019797288083E-07
x3 : 8.80840108321036E-07 3.54013446700936E-07
x4 : 8.80833826616588E-07 3.54016630480154E-07
x5 : -8.80845752290805E-07 -3.54011587331932E-07
== err : 4.343E-07 = rco : 1.295E-12 = res : 1.509E-12 ==
solution 54 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.92705717096136E-07 -1.83406206460452E-09
x2 : -4.92705727906632E-07 -1.83406197368206E-09
x3 : 1.00000000000024E+00 1.94799111544824E-15
x4 : 4.92705070055773E-07 1.83408154617958E-09
x5 : 4.92705653030769E-07 1.83403664813366E-09
== err : 4.678E-08 = rco : 2.363E-13 = res : 1.501E-14 ==
solution 55 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.78558559035624E-07 5.29764928665936E-07
x2 : -3.78560476938104E-07 -5.29762481915087E-07
x3 : -3.78560244971064E-07 -5.29762857793054E-07
x4 : 1.00000000000026E+00 -2.45486266535439E-13
x5 : 3.78561384605609E-07 5.29761147501003E-07
== err : 8.710E-07 = rco : 8.544E-13 = res : 6.068E-12 ==
solution 56 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.96721117949059E-07 -1.08184484771298E-06
x2 : -3.96720081006479E-07 1.08184572769350E-06
x3 : 3.96721262809358E-07 -1.08184464703314E-06
x4 : -3.96719885571923E-07 1.08184581271033E-06
x5 : 9.99999999999195E-01 -6.81885905041855E-13
== err : 5.225E-07 = rco : 1.928E-12 = res : 2.184E-12 ==
solution 57 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 3.04091245708007E-01 9.05970135746373E-82
x2 : 3.04091245708007E-01 1.81194027149275E-82
x3 : 3.04091245708007E-01 -9.22442320032671E-82
x4 : 3.04091245708007E-01 -3.62388054298549E-82
x5 : 3.04091245708007E-01 2.55318856437614E-82
== err : 4.057E-16 = rco : 2.125E-01 = res : 3.331E-16 ==
solution 58 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -9.03297814307222E-07 5.74765213809762E-07
x2 : 1.00000000000043E+00 -8.00982707761738E-13
x3 : -9.03295414834526E-07 5.74766653139927E-07
x4 : 9.03291765705812E-07 -5.74767415183087E-07
x5 : 9.03300180459563E-07 -5.74762048818479E-07
== err : 4.943E-07 = rco : 1.016E-12 = res : 1.955E-12 ==
solution 59 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 2.66389539285958E-08 -5.01298060687665E-09
x2 : -2.48821090614598E-08 6.05539841797498E-09
x3 : -2.94817421297925E-08 4.57942926226050E-09
x4 : 1.00000000000000E+00 -7.45235205476876E-17
x5 : 2.77248971350939E-08 -5.62184684978828E-09
== err : 2.870E-08 = rco : 6.215E-11 = res : 5.987E-15 ==
solution 60 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -6.16591245708008E-01 5.56381379732994E-84
x2 : -6.16591245708008E-01 1.80164515631381E-84
x3 : -6.16591245708007E-01 -9.52298154051585E-84
x4 : -6.16591245708008E-01 5.72665781828318E-84
x5 : -6.16591245708007E-01 3.05636231874664E-84
== err : 1.124E-15 = rco : 8.566E-02 = res : 1.332E-15 ==
solution 61 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.63206670003076E-07 -9.36425885188195E-07
x2 : -2.63206646400207E-07 -9.36425790901187E-07
x3 : 2.63207541296957E-07 9.36424915060640E-07
x4 : 2.63207699983628E-07 9.36425586257462E-07
x5 : 9.99999999999358E-01 3.91590426922297E-13
== err : 4.410E-07 = rco : 1.119E-12 = res : 1.556E-12 ==
solution 62 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 5.64109817728802E-07 -9.60085394264516E-07
x2 : -5.64110661692026E-07 9.60084110525369E-07
x3 : 9.99999999999683E-01 -5.82646810562509E-13
x4 : 5.64108444309706E-07 -9.60087882715373E-07
x5 : -5.64106649830123E-07 9.60090914394952E-07
== err : 7.595E-07 = rco : 1.879E-12 = res : 4.615E-12 ==
solution 63 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -3.54782332780576E-08 -3.70540833923582E-08
x2 : 1.00000000000000E+00 4.35936137919293E-19
x3 : 2.32268671523204E-08 2.77819682696953E-08
x4 : -1.21019355516642E-08 -1.07202271461614E-08
x5 : 2.43533014511612E-08 1.99923422675164E-08
== err : 5.131E-08 = rco : 2.301E-09 = res : 1.039E-14 ==
solution 64 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -3.34346494177636E-07 9.04339948429487E-07
x2 : 3.34347268920525E-07 -9.04339285420627E-07
x3 : 3.34347320809658E-07 -9.04339197032378E-07
x4 : -3.34346413119316E-07 9.04339975183301E-07
x5 : 9.99999999999439E-01 -4.80386594082435E-13
== err : 4.372E-07 = rco : 1.351E-12 = res : 1.530E-12 ==
solution 65 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 9.99999999999007E-01 -3.99057426482604E-12
x2 : -1.15626663684348E-06 1.02733965476728E-06
x3 : 1.15626630520210E-06 -1.02732871622070E-06
x4 : 1.15626767931486E-06 -1.02733789537572E-06
x5 : -1.15626436806318E-06 1.02733892855193E-06
== err : 1.434E-06 = rco : 2.453E-12 = res : 1.646E-11 ==
solution 66 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 4.54852696159722E-07 -8.85421356648851E-07
x2 : -4.54852376023737E-07 8.85421254411180E-07
x3 : -4.54852222189907E-07 8.85421522189185E-07
x4 : 9.99999999999636E-01 -4.59232850313549E-13
x5 : 4.54852994824043E-07 -8.85420042252963E-07
== err : 6.375E-07 = rco : 1.513E-12 = res : 3.252E-12 ==
solution 67 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -3.99484386216088E-08 -1.00882414701756E-06
x2 : -3.99486240404141E-08 -1.00882409686281E-06
x3 : 3.99493612516937E-08 1.00882183892582E-06
x4 : 9.99999999999213E-01 4.02975841993915E-13
x5 : 3.99500621954223E-08 1.00882519602702E-06
== err : 6.289E-07 = rco : 1.079E-12 = res : 3.164E-12 ==
solution 68 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -2.94275587846130E-07 -1.25624940614933E-06
x2 : 2.94277319162299E-07 1.25624854110376E-06
x3 : -2.94275715318459E-07 -1.25624967931879E-06
x4 : 9.99999999998829E-01 5.22639092516003E-13
x5 : 2.94277496776390E-07 1.25624897644708E-06
== err : 6.221E-07 = rco : 2.324E-12 = res : 3.096E-12 ==
solution 69 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : -4.43667114974019E-07 -5.32726341126562E-07
x2 : 4.43667206266718E-07 5.32725837448733E-07
x3 : 4.43667242979847E-07 5.32725773932584E-07
x4 : -4.43667126883301E-07 -5.32726396814224E-07
x5 : 9.99999999999931E-01 3.75519822754863E-13
== err : 3.143E-07 = rco : 5.767E-13 = res : 7.906E-13 ==
solution 70 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
x1 : 1.33265383949542E-06 3.29772740949587E-07
x2 : 1.33265397758919E-06 3.29772598616631E-07
x3 : -1.33265639478179E-06 -3.29773229446862E-07
x4 : -1.33265539574640E-06 -3.29774204789839E-07
x5 : 1.00000000000132E+00 6.98223494698609E-13
== err : 6.225E-07 = rco : 2.216E-12 = res : 3.100E-12 ==
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