8
z0 + z1 + z2 + z3 + z4 + z5 + z6 + z7;
z0*z1 + z1*z2 + z2*z3 + z3*z4 + z4*z5 + z5*z6 + z6*z7 + z7*z0;
z0*z1*z2 + z1*z2*z3 + z2*z3*z4 + z3*z4*z5 + z4*z5*z6 + z5*z6*z7
+ z6*z7*z0 + z7*z0*z1;
z0*z1*z2*z3 + z1*z2*z3*z4 + z2*z3*z4*z5 + z3*z4*z5*z6 + z4*z5*z6*z7
+ z5*z6*z7*z0 + z6*z7*z0*z1 + z7*z0*z1*z2;
z0*z1*z2*z3*z4 + z1*z2*z3*z4*z5 + z2*z3*z4*z5*z6 + z3*z4*z5*z6*z7
+ z4*z5*z6*z7*z0 + z5*z6*z7*z0*z1 + z6*z7*z0*z1*z2 + z7*z0*z1*z2*z3;
z0*z1*z2*z3*z4*z5 + z1*z2*z3*z4*z5*z6 + z2*z3*z4*z5*z6*z7 + z3*z4*z5*z6*z7*z0
+ z4*z5*z6*z7*z0*z1 + z5*z6*z7*z0*z1*z2 + z6*z7*z0*z1*z2*z3 + z7*z0*z1*z2*z3*z4;
z0*z1*z2*z3*z4*z5*z6 + z1*z2*z3*z4*z5*z6*z7 + z2*z3*z4*z5*z6*z7*z0
+ z3*z4*z5*z6*z7*z0*z1 + z4*z5*z6*z7*z0*z1*z2 + z5*z6*z7*z0*z1*z2*z3
+ z6*z7*z0*z1*z2*z3*z4 + z7*z0*z1*z2*z3*z4*z5;
z0*z1*z2*z3*z4*z5*z6*z7 - 1;
TITLE : cyclic 8-roots problem
ROOT COUNTS :
total degree : 8! = 40320
bound based on set structure analysis : 20352
with set structure :
{z0 z1 z2 z3 z4 z5 z6 z7 }
{z0 z2 z4 z6 }{z1 z3 z5 z7 }
{z0 z4 }{z1 z5 }{z2 z6 }{z3 z7 }
{z0 z4 }{z1 z5 }{z2 z6 }{z3 z7 }
{z0 }{z1 }{z2 }{z3 }{z4 }{z5 }{z6 }{z7 }
{z0 }{z1 }{z2 }{z3 }{z4 }{z5 }{z6 }{z7 }
{z0 }{z1 }{z2 }{z3 }{z4 }{z5 }{z6 }{z7 }
{z0 }{z1 }{z2 }{z3 }{z4 }{z5 }{z6 }{z7 }
mixed volume : 2560 = 320*8 = 160*16
REFERENCES :
G\"oran Bj\"orck and Ralf Fr\"oberg:
`A faster way to count the solutions of inhomogeneous systems
of algebraic equations, with applications to cyclic n-roots',
in J. Symbolic Computation (1991) 12, pp 329-336.
G. Bj\"orck and R. Fr\"oberg, R.:
"Methods to ``divide out'' certain solutions from systems of algebraic
equations, applied to find all cyclic 8-roots " ,
In: Analysis, Algebra and Computers in Math. research,
M. Gyllenberg and L.E.Persson eds., Lect. Notes in Applied Math. vol. 564,
pp 57-70, Dekker, 1994.
NOTE :
The list of generating solutions contains also 36 singular solutions,
that are not isolated.
There are 72*16 = 1152 isolated regular solutions.
For this particular appliation, we can make the distinction between
isolated and nonisolated on the sole basis of the condition number.
The number "rco" at the end of each solution is an estimate of the
inverse condition number. The isolated solutions for this system
are all very well conditioned, with condition numbers of magnitude
about 100, whereas paths leading to solution components terminate
at solution vectors with condition numbers higher than 10^8.
The system has 8 quadrics and 8 curves of degree 16 as solutions.
See the embedded cyclic 8-roots problem for information on this
decomposition.
THE GENERATING SOLUTIONS :
108 8
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.23879532511287E-01 -3.82683432365090E-01
z1 : 3.52406229691418E-01 9.35847129222866E-01
z2 : 8.91867121275053E-01 4.52297510482370E-01
z3 : -8.72025885096329E-01 -4.89459759042522E-01
z4 : -9.23879532511287E-01 3.82683432365089E-01
z5 : -2.70515101984913E-01 9.62715731458717E-01
z6 : 3.10822652595037E-01 -9.50467926146793E-01
z7 : -4.12555016480266E-01 -9.10932685974638E-01
== err : 1.116E-15 = rco : 3.921E-02 = res : 5.237E-16 ==
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -6.43594252905583E-01 7.65366864730180E-01
z1 : -9.63206867716885E-01 2.68761102064691E-01
z2 : 9.63206867716885E-01 2.68761102064691E-01
z3 : 6.43594252905583E-01 7.65366864730180E-01
z4 : -6.43594252905583E-01 -7.65366864730180E-01
z5 : -9.63206867716885E-01 -2.68761102064691E-01
z6 : 9.63206867716885E-01 -2.68761102064691E-01
z7 : 6.43594252905583E-01 -7.65366864730180E-01
== err : 7.580E-16 = rco : 1.274E-01 = res : 1.378E-15 ==
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.33333333333333E-01 9.42809041582063E-01
z1 : -1.00000000000000E+00 -5.44323984047672E-17
z2 : -1.00000000000000E+00 7.51420126215849E-17
z3 : 1.00000000000000E+00 1.41388005847489E-17
z4 : -3.33333333333333E-01 -9.42809041582064E-01
z5 : 3.33333333333333E-01 -9.42809041582063E-01
z6 : 3.33333333333333E-01 9.42809041582064E-01
z7 : 1.00000000000000E+00 2.28855443530215E-18
== err : 7.401E-16 = rco : 3.581E-02 = res : 4.484E-16 ==
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -7.65366864730180E-01 -6.43594252905583E-01
z1 : -2.68761102064691E-01 -9.63206867716885E-01
z2 : -2.68761102064691E-01 9.63206867716885E-01
z3 : -7.65366864730180E-01 6.43594252905583E-01
z4 : 7.65366864730180E-01 -6.43594252905583E-01
z5 : 2.68761102064691E-01 -9.63206867716885E-01
z6 : 2.68761102064691E-01 9.63206867716885E-01
z7 : 7.65366864730179E-01 6.43594252905583E-01
== err : 7.251E-16 = rco : 1.667E-01 = res : 6.087E-16 ==
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.12633161969683E+00 2.71920507200175E+00
z1 : 3.82683432365090E-01 -9.23879532511287E-01
z2 : -1.30020863168295E-01 3.13898131252354E-01
z3 : 5.09709953396439E+00 -1.23054868236624E+01
z4 : -3.82241952894593E-02 9.22813706786104E-02
z5 : -3.82683432365090E-01 9.23879532511287E-01
z6 : -3.83125421732843E+00 9.24946589237340E+00
z7 : 2.87313615186211E-02 -6.93636426436996E-02
== err : 1.795E-14 = rco : 1.260E-03 = res : 2.583E-15 ==
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.82683432365090E-01 9.23879532511287E-01
z1 : 8.76671142655794E-01 4.81090124233064E-01
z2 : -5.81579360246291E-01 -8.13489672789713E-01
z3 : 9.80601882939922E-01 -1.96010069064527E-01
z4 : -3.82683432365090E-01 -9.23879532511287E-01
z5 : -8.31990290087486E-01 5.54790192054745E-01
z6 : -1.63985354626545E-01 -9.86462773483119E-01
z7 : -2.79718020635393E-01 9.60082199049549E-01
== err : 7.038E-16 = rco : 4.502E-02 = res : 9.421E-16 ==
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 8.46611438391424E-01 2.04390081662477E+00
z1 : -1.73179506874628E+00 -4.18092314221812E+00
z2 : -3.82683432365090E-01 -9.23879532511287E-01
z3 : -8.45634752342521E-02 -2.04154288791933E-01
z4 : 1.72979719816894E-01 4.17609985597444E-01
z5 : 2.87645454906416E-01 6.94437558390047E-01
z6 : 3.82683432365090E-01 9.23879532511287E-01
z7 : 5.09121930865802E-01 1.22912907039780E+00
== err : 5.866E-15 = rco : 1.200E-02 = res : 1.056E-15 ==
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.55089796082886E-01 -4.55089808294726E-01
z1 : -2.65245846331099E+00 -2.65245839213517E+00
z2 : 4.55089849058192E-01 4.55089823221073E-01
z3 : -4.55089743107580E-01 -4.55089793368379E-01
z4 : 2.65245846331099E+00 2.65245839213517E+00
z5 : 4.55089796082886E-01 4.55089808294726E-01
z6 : 4.55089872066263E-01 4.55089897903381E-01
z7 : -4.55089978016875E-01 -4.55089927756075E-01
== err : 4.834E-07 = rco : 1.338E-08 = res : 1.640E-13 ==
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.00000000000000E+00 -1.21543267145725E-63
z1 : 1.00000000000000E+00 6.07716335728627E-63
z2 : -5.82842712474619E+00 -2.67395187720596E-62
z3 : -1.71572875253810E-01 6.07716335728627E-64
z4 : 1.00000000000000E+00 9.72346137165803E-63
z5 : 1.00000000000000E+00 -9.72346137165803E-63
z6 : 1.00000000000000E+00 8.50802870020078E-63
z7 : 1.00000000000000E+00 0.00000000000000E+00
== err : 1.513E-16 = rco : 9.599E-03 = res : 8.882E-16 ==
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -7.07106781186548E-01 7.07106781186547E-01
z1 : -9.02368927062183E-01 -4.30964406271151E-01
z2 : 4.30964406271151E-01 9.02368927062182E-01
z3 : 9.02368927062182E-01 4.30964406271151E-01
z4 : -7.07106781186548E-01 7.07106781186548E-01
z5 : 7.07106781186548E-01 -7.07106781186548E-01
z6 : 7.07106781186548E-01 -7.07106781186548E-01
z7 : -4.30964406271151E-01 -9.02368927062182E-01
== err : 9.257E-16 = rco : 2.693E-02 = res : 6.956E-16 ==
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.54362834171248E-08 -1.55377372731884E+00
z1 : -7.57438932408027E-08 1.55377386889903E+00
z2 : 1.51538048887316E-08 1.55377414995114E+00
z3 : -2.59998187250919E-09 2.66585438035582E-01
z4 : 4.54362834633503E-08 -1.55377422074124E+00
z5 : 7.57438931945772E-08 1.55377407916105E+00
z6 : 2.59998187250919E-09 -2.66585438035582E-01
z7 : -1.51538048887316E-08 -1.55377414995114E+00
== err : 2.504E-07 = rco : 8.332E-09 = res : 1.260E-13 ==
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 2.04390081662477E+00 -8.46611438391424E-01
z1 : -4.18092314221812E+00 1.73179506874628E+00
z2 : -9.23879532511287E-01 3.82683432365090E-01
z3 : -2.04154288791933E-01 8.45634752342521E-02
z4 : 4.17609985597444E-01 -1.72979719816894E-01
z5 : 6.94437558390047E-01 -2.87645454906416E-01
z6 : 9.23879532511287E-01 -3.82683432365090E-01
z7 : 1.22912907039780E+00 -5.09121930865802E-01
== err : 5.866E-15 = rco : 1.200E-02 = res : 1.056E-15 ==
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 4.89459759042523E-01 -8.72025885096329E-01
z1 : -4.52297510482370E-01 8.91867121275053E-01
z2 : -9.35847129222866E-01 3.52406229691418E-01
z3 : 3.82683432365090E-01 9.23879532511287E-01
z4 : 9.10932685974637E-01 -4.12555016480266E-01
z5 : 9.50467926146792E-01 3.10822652595038E-01
z6 : -9.62715731458717E-01 -2.70515101984913E-01
z7 : -3.82683432365090E-01 -9.23879532511287E-01
== err : 6.627E-16 = rco : 3.223E-02 = res : 8.951E-16 ==
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.42809041582063E-01 -3.33333333333333E-01
z1 : -9.42809041582063E-01 -3.33333333333333E-01
z2 : 2.48450158922611E-18 -1.00000000000000E+00
z3 : -9.42809041582063E-01 3.33333333333333E-01
z4 : 1.38195496603460E-17 1.00000000000000E+00
z5 : 5.64046412950889E-17 1.00000000000000E+00
z6 : 3.61537493426347E-17 -1.00000000000000E+00
z7 : 9.42809041582064E-01 3.33333333333333E-01
== err : 6.212E-16 = rco : 3.765E-02 = res : 6.661E-16 ==
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.02368927062182E-01 -4.30964406271150E-01
z1 : 4.30964406271151E-01 9.02368927062182E-01
z2 : -7.07106781186548E-01 7.07106781186548E-01
z3 : 9.02368927062182E-01 4.30964406271151E-01
z4 : 7.07106781186548E-01 -7.07106781186548E-01
z5 : 7.07106781186547E-01 -7.07106781186547E-01
z6 : -7.07106781186547E-01 7.07106781186548E-01
z7 : -4.30964406271151E-01 -9.02368927062183E-01
== err : 8.503E-16 = rco : 4.013E-02 = res : 1.166E-15 ==
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.62715731458717E-01 -2.70515101984913E-01
z1 : -9.50467926146792E-01 3.10822652595038E-01
z2 : -9.10932685974638E-01 -4.12555016480266E-01
z3 : -3.82683432365090E-01 9.23879532511287E-01
z4 : 9.35847129222866E-01 3.52406229691418E-01
z5 : 4.52297510482370E-01 8.91867121275053E-01
z6 : -4.89459759042523E-01 -8.72025885096329E-01
z7 : 3.82683432365090E-01 -9.23879532511287E-01
== err : 7.952E-16 = rco : 3.374E-02 = res : 7.216E-16 ==
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -7.65366864730180E-01 6.43594252905583E-01
z1 : 9.02811773189119E-01 -4.30035931279141E-01
z2 : 9.02811773189119E-01 4.30035931279141E-01
z3 : -7.65366864730180E-01 -6.43594252905583E-01
z4 : 7.65366864730180E-01 6.43594252905583E-01
z5 : -9.02811773189119E-01 -4.30035931279141E-01
z6 : -9.02811773189119E-01 4.30035931279141E-01
z7 : 7.65366864730180E-01 -6.43594252905583E-01
== err : 7.457E-16 = rco : 1.727E-01 = res : 5.551E-16 ==
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.50467926146792E-01 -3.10822652595038E-01
z1 : 9.62715731458717E-01 2.70515101984914E-01
z2 : 3.82683432365090E-01 9.23879532511287E-01
z3 : -4.89459759042523E-01 8.72025885096329E-01
z4 : 4.52297510482370E-01 -8.91867121275053E-01
z5 : 9.35847129222866E-01 -3.52406229691418E-01
z6 : -3.82683432365090E-01 -9.23879532511287E-01
z7 : -9.10932685974637E-01 4.12555016480266E-01
== err : 9.049E-16 = rco : 3.361E-02 = res : 9.014E-16 ==
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 6.43594252905583E-01 7.65366864730180E-01
z1 : -4.30035931279141E-01 -9.02811773189119E-01
z2 : 4.30035931279141E-01 -9.02811773189119E-01
z3 : -6.43594252905583E-01 7.65366864730180E-01
z4 : 6.43594252905583E-01 -7.65366864730180E-01
z5 : -4.30035931279141E-01 9.02811773189119E-01
z6 : 4.30035931279141E-01 9.02811773189119E-01
z7 : -6.43594252905583E-01 -7.65366864730180E-01
== err : 6.990E-16 = rco : 1.727E-01 = res : 6.661E-16 ==
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.96285960708424E-01 -8.61062395839697E-02
z1 : 9.42465650118430E-01 3.34303003795725E-01
z2 : 3.34303003795725E-01 9.42465650118430E-01
z3 : -8.61062395839696E-02 -9.96285960708424E-01
z4 : 8.61062395839696E-02 9.96285960708425E-01
z5 : -3.34303003795725E-01 -9.42465650118430E-01
z6 : -9.42465650118431E-01 -3.34303003795725E-01
z7 : 9.96285960708424E-01 8.61062395839696E-02
== err : 5.444E-16 = rco : 1.843E-01 = res : 6.685E-16 ==
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -2.09868401921292E+00 4.55089880650539E-01
z1 : 4.55089917887853E-01 -2.09868419093585E+00
z2 : 4.55089851109627E-01 -9.86841442443102E-02
z3 : 2.09868415705925E+00 -4.55089718633880E-01
z4 : 9.86841050814692E-02 -4.55089878836027E-01
z5 : -4.55089847403522E-01 9.86840982654772E-02
z6 : -4.55090103798619E-01 2.09868408755212E+00
z7 : -9.86840607231331E-02 4.55089866181923E-01
== err : 2.464E-07 = rco : 3.404E-09 = res : 5.053E-14 ==
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -2.65245771581878E+00 2.65245839047795E+00
z1 : 4.55089922329370E-01 -4.55089855690928E-01
z2 : -4.55089926335178E-01 4.55089761467192E-01
z3 : 2.65245771581878E+00 -2.65245839047795E+00
z4 : 4.55089924332274E-01 -4.55089808579060E-01
z5 : 4.55089798795085E-01 -4.55089865433526E-01
z6 : -4.55089794789277E-01 4.55089959657263E-01
z7 : -4.55089924332274E-01 4.55089808579060E-01
== err : 4.793E-07 = rco : 1.216E-08 = res : 1.581E-13 ==
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.90939950721154E-08 -3.75114262114129E+00
z1 : 8.42319788644279E-09 -6.43594180814842E-01
z2 : -3.78882243750293E-08 -6.43594355105084E-01
z3 : -2.10418285997484E-08 6.43594294887563E-01
z4 : -8.42319788644277E-09 6.43594180814842E-01
z5 : 4.90939950721154E-08 3.75114262114129E+00
z6 : 3.78882243726359E-08 -6.43594150706082E-01
z7 : 2.10418286021418E-08 6.43594210923602E-01
== err : 4.232E-07 = rco : 1.152E-08 = res : 1.241E-13 ==
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -7.07106781186548E-01 -7.07106781186548E-01
z1 : 4.12132034355964E+00 4.12132034355964E+00
z2 : 1.21320343559643E-01 1.21320343559643E-01
z3 : -7.07106781186548E-01 -7.07106781186548E-01
z4 : -7.07106781186548E-01 -7.07106781186548E-01
z5 : -7.07106781186548E-01 -7.07106781186548E-01
z6 : -7.07106781186548E-01 -7.07106781186548E-01
z7 : -7.07106781186548E-01 -7.07106781186547E-01
== err : 3.301E-15 = rco : 9.913E-03 = res : 1.404E-15 ==
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.75114221445076E+00 -4.35518870865890E-07
z1 : -6.43594250591905E-01 7.47232249051920E-08
z2 : -6.43594269810060E-01 -1.69397735047196E-07
z3 : 6.43594240628461E-01 -1.99512852382499E-08
z4 : 6.43594250591905E-01 -7.47232249051919E-08
z5 : 3.75114221445076E+00 4.35518870865890E-07
z6 : -6.43594236001105E-01 1.69397735048624E-07
z7 : 6.43594265182704E-01 1.99512852368221E-08
== err : 4.355E-07 = rco : 1.027E-08 = res : 2.151E-13 ==
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.78940420671098E-08 -1.00000010356659E+00
z1 : 1.78940421144863E-08 -9.99999896433413E-01
z2 : -1.00000004918262E+00 9.96105635621212E-09
z3 : -9.99999950817385E-01 -9.96105618931202E-09
z4 : -1.17341700470943E-08 9.99999978172029E-01
z5 : 1.17341700053134E-08 1.00000002182797E+00
z6 : 1.00000003255600E+00 3.80118419396644E-09
z7 : 9.99999967443999E-01 -3.80118425082557E-09
== err : 1.048E-07 = rco : 1.250E-08 = res : 2.298E-14 ==
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 7.07106781186548E-01 7.07106781186548E-01
z1 : 7.07106781186548E-01 7.07106781186548E-01
z2 : 9.02368927062183E-01 -4.30964406271151E-01
z3 : -7.07106781186547E-01 -7.07106781186548E-01
z4 : 4.30964406271151E-01 -9.02368927062183E-01
z5 : -9.02368927062183E-01 4.30964406271151E-01
z6 : -4.30964406271151E-01 9.02368927062182E-01
z7 : -7.07106781186548E-01 -7.07106781186547E-01
== err : 7.533E-16 = rco : 3.860E-02 = res : 8.083E-16 ==
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.82683432365090E-01 9.23879532511287E-01
z1 : -1.73179506874628E+00 4.18092314221812E+00
z2 : 8.46611438391424E-01 -2.04390081662477E+00
z3 : 5.09121930865802E-01 -1.22912907039780E+00
z4 : 3.82683432365090E-01 -9.23879532511287E-01
z5 : 2.87645454906416E-01 -6.94437558390047E-01
z6 : 1.72979719816894E-01 -4.17609985597444E-01
z7 : -8.45634752342521E-02 2.04154288791933E-01
== err : 5.761E-15 = rco : 1.260E-02 = res : 2.701E-15 ==
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.58650325538158E-01 -9.58650325538158E-01
z1 : -2.40524707834419E+00 -2.40524707834419E+00
z2 : 2.40524707834419E+00 2.40524707834419E+00
z3 : 9.58650325538158E-01 9.58650325538158E-01
z4 : 5.21566609513552E-01 5.21566609513552E-01
z5 : 2.07878851408567E-01 2.07878851408567E-01
z6 : -2.07878851408567E-01 -2.07878851408567E-01
z7 : -5.21566609513552E-01 -5.21566609513552E-01
== err : 4.939E-15 = rco : 2.178E-02 = res : 2.512E-15 ==
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.82683432365090E-01 -9.23879532511287E-01
z1 : 1.73179506874628E+00 -4.18092314221812E+00
z2 : -8.46611438391424E-01 2.04390081662477E+00
z3 : -5.09121930865802E-01 1.22912907039780E+00
z4 : -3.82683432365090E-01 9.23879532511287E-01
z5 : -2.87645454906416E-01 6.94437558390047E-01
z6 : -1.72979719816894E-01 4.17609985597444E-01
z7 : 8.45634752342521E-02 -2.04154288791933E-01
== err : 5.761E-15 = rco : 1.260E-02 = res : 2.701E-15 ==
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.99999998026740E-01 4.88412983343476E-09
z1 : 1.71622527368305E-08 -9.99999911703050E-01
z2 : -1.71622526262534E-08 -1.00000008829695E+00
z3 : -9.99999919277846E-01 -1.59510695312325E-08
z4 : -1.00000008072215E+00 1.59510694774992E-08
z5 : 6.09531312758212E-09 1.00000000954806E+00
z6 : -6.09531300385727E-09 9.99999990451943E-01
z7 : 1.00000000197326E+00 -4.88412990422813E-09
== err : 9.064E-08 = rco : 1.295E-08 = res : 2.111E-14 ==
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.23879532511287E-01 3.82683432365090E-01
z1 : 1.22912907039780E+00 5.09121930865802E-01
z2 : 2.04390081662477E+00 8.46611438391424E-01
z3 : -4.18092314221812E+00 -1.73179506874628E+00
z4 : -9.23879532511287E-01 -3.82683432365090E-01
z5 : -2.04154288791933E-01 -8.45634752342521E-02
z6 : 4.17609985597444E-01 1.72979719816894E-01
z7 : 6.94437558390047E-01 2.87645454906416E-01
== err : 5.711E-15 = rco : 1.200E-02 = res : 3.655E-15 ==
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.23879532511287E-01 3.82683432365090E-01
z1 : -1.22912907039780E+00 5.09121930865802E-01
z2 : -2.04390081662477E+00 8.46611438391424E-01
z3 : 4.18092314221812E+00 -1.73179506874628E+00
z4 : 9.23879532511287E-01 -3.82683432365090E-01
z5 : 2.04154288791933E-01 -8.45634752342521E-02
z6 : -4.17609985597444E-01 1.72979719816894E-01
z7 : -6.94437558390047E-01 2.87645454906416E-01
== err : 5.711E-15 = rco : 1.200E-02 = res : 3.655E-15 ==
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.23879532511287E-01 -3.82683432365090E-01
z1 : -1.22912907039780E+00 -5.09121930865802E-01
z2 : -2.04390081662477E+00 -8.46611438391424E-01
z3 : 4.18092314221813E+00 1.73179506874628E+00
z4 : 9.23879532511287E-01 3.82683432365090E-01
z5 : 2.04154288791933E-01 8.45634752342521E-02
z6 : -4.17609985597444E-01 -1.72979719816894E-01
z7 : -6.94437558390047E-01 -2.87645454906416E-01
== err : 5.828E-15 = rco : 1.200E-02 = res : 3.331E-15 ==
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.82683432365090E-01 -9.23879532511287E-01
z1 : -5.09121930865802E-01 -1.22912907039780E+00
z2 : -8.46611438391424E-01 -2.04390081662477E+00
z3 : 1.73179506874628E+00 4.18092314221812E+00
z4 : 3.82683432365090E-01 9.23879532511287E-01
z5 : 8.45634752342521E-02 2.04154288791933E-01
z6 : -1.72979719816894E-01 -4.17609985597444E-01
z7 : -2.87645454906416E-01 -6.94437558390047E-01
== err : 5.711E-15 = rco : 1.200E-02 = res : 3.655E-15 ==
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.62715731458717E-01 2.70515101984913E-01
z1 : 9.50467926146792E-01 -3.10822652595038E-01
z2 : 9.10932685974638E-01 4.12555016480266E-01
z3 : 3.82683432365090E-01 -9.23879532511287E-01
z4 : -9.35847129222866E-01 -3.52406229691418E-01
z5 : -4.52297510482370E-01 -8.91867121275053E-01
z6 : 4.89459759042523E-01 8.72025885096329E-01
z7 : -3.82683432365090E-01 9.23879532511287E-01
== err : 7.952E-16 = rco : 3.374E-02 = res : 7.216E-16 ==
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.55089766261880E-01 -2.09868428758893E+00
z1 : 2.09868399404678E+00 4.55089702608633E-01
z2 : 9.86840802945147E-02 4.55089867640841E-01
z3 : 4.55090013543592E-01 2.09868408082420E+00
z4 : 4.55089833368041E-01 9.86841411356636E-02
z5 : -9.86841499147301E-02 -4.55089873853424E-01
z6 : -2.09868415311040E+00 -4.55089422254102E-01
z7 : -4.55089851965917E-01 -9.86842085128825E-02
== err : 4.403E-07 = rco : 5.496E-09 = res : 1.935E-13 ==
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.75114209661916E+00 4.79568647160308E-07
z1 : -6.43594270808611E-01 -8.22809716693889E-08
z2 : -6.43594235421337E-01 1.64094700065461E-07
z3 : 6.43594234583772E-01 -4.67243275576930E-10
z4 : 6.43594270808611E-01 8.22809716693889E-08
z5 : 3.75114209661916E+00 -4.79568647160308E-07
z6 : -6.43594270389828E-01 -1.64094700063192E-07
z7 : 6.43594271227393E-01 4.67243273308093E-10
== err : 4.906E-07 = rco : 1.413E-08 = res : 2.053E-13 ==
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.55089814331784E-01 2.09868416287812E+00
z1 : 2.09868408764483E+00 -4.55089798017795E-01
z2 : 9.86841086064015E-02 -4.55089813711141E-01
z3 : 4.55089882981010E-01 -2.09868432952543E+00
z4 : 4.55089878604822E-01 -9.86840998284796E-02
z5 : -9.86840935800806E-02 4.55089849789819E-01
z6 : -2.09868421037735E+00 4.55089930005557E-01
z7 : -4.55089839547846E-01 9.86840984093480E-02
== err : 2.162E-07 = rco : 2.839E-09 = res : 5.191E-14 ==
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.42809041582063E-01 -3.33333333333334E-01
z1 : 9.42809041582064E-01 -3.33333333333333E-01
z2 : -1.56815194503985E-16 -1.00000000000000E+00
z3 : 9.42809041582063E-01 3.33333333333333E-01
z4 : 1.51746139997604E-16 1.00000000000000E+00
z5 : -1.31933683703550E-16 1.00000000000000E+00
z6 : -1.08261501868312E-16 -1.00000000000000E+00
z7 : -9.42809041582064E-01 3.33333333333333E-01
== err : 1.098E-15 = rco : 3.765E-02 = res : 7.419E-16 ==
solution 41 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 4.55089735316983E-01 2.09868405149143E+00
z1 : -2.09868422175574E+00 -4.55089772238004E-01
z2 : -9.86840984934792E-02 -4.55089818556228E-01
z3 : -4.55089929617578E-01 -2.09868430718191E+00
z4 : -4.55089846095894E-01 -9.86840800902626E-02
z5 : 9.86840890803947E-02 4.55089887554623E-01
z6 : 2.09868449338673E+00 4.55089943547523E-01
z7 : 4.55089778178582E-01 9.86840954728356E-02
== err : 3.896E-07 = rco : 4.810E-09 = res : 1.499E-13 ==
solution 42 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.16219673325424E+00 1.80579091551375E+00
z1 : -1.16219666066578E+00 -1.80579080272769E+00
z2 : 2.52016891805636E-01 -3.91577273032970E-01
z3 : 1.16219677464849E+00 -1.80579116788270E+00
z4 : -2.52016951827752E-01 -3.91577328655640E-01
z5 : -2.52016936849173E-01 3.91577305382313E-01
z6 : 1.16219671040664E+00 1.80579105358506E+00
z7 : 2.52016905736183E-01 3.91577297817881E-01
== err : 3.035E-07 = rco : 4.047E-09 = res : 1.017E-13 ==
solution 43 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.06520474836866E-09 -2.66585499194977E-01
z1 : -6.20846819765530E-09 -1.55377379348807E+00
z2 : 5.33543394882677E-08 -1.55377423323145E+00
z3 : 4.09374032164142E-08 1.55377407591256E+00
z4 : 6.20846819765530E-09 1.55377379348807E+00
z5 : -1.06520474836866E-09 2.66585499194977E-01
z6 : -5.33543396117349E-08 -1.55377371482862E+00
z7 : -4.09374030929470E-08 1.55377387214751E+00
== err : 2.654E-07 = rco : 9.653E-09 = res : 1.212E-13 ==
solution 44 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.50775592640477E-02 -4.50775592640477E-02
z1 : -1.10919936252800E+01 -1.10919936252800E+01
z2 : -2.07878851408567E-01 -2.07878851408567E-01
z3 : 2.07878851408567E-01 2.07878851408567E-01
z4 : 1.10919936252800E+01 1.10919936252800E+01
z5 : 4.50775592640477E-02 4.50775592640477E-02
z6 : 2.40524707834419E+00 2.40524707834419E+00
z7 : -2.40524707834419E+00 -2.40524707834419E+00
== err : 6.033E-14 = rco : 6.385E-04 = res : 5.329E-15 ==
solution 45 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.33333333333333E-01 -9.42809041582064E-01
z1 : 1.00000000000000E+00 6.74730605314265E-17
z2 : 1.00000000000000E+00 -8.58734166449800E-17
z3 : -1.00000000000000E+00 5.08954648636300E-17
z4 : 3.33333333333333E-01 9.42809041582063E-01
z5 : -3.33333333333333E-01 9.42809041582064E-01
z6 : -3.33333333333333E-01 -9.42809041582063E-01
z7 : -1.00000000000000E+00 -2.03326710809610E-16
== err : 1.058E-15 = rco : 4.758E-02 = res : 4.965E-16 ==
solution 46 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.91577345860177E-01 -2.52016950379346E-01
z1 : -1.80579077670246E+00 1.16219682765026E+00
z2 : -3.91577357858581E-01 2.52016880312450E-01
z3 : -1.80579104251650E+00 -1.16219663953768E+00
z4 : 1.80579083542035E+00 -1.16219650625178E+00
z5 : 3.91577287700386E-01 2.52016990836492E-01
z6 : 1.80579110024272E+00 1.16219631795960E+00
z7 : 3.91577299574271E-01 -2.52016920590003E-01
== err : 3.840E-07 = rco : 5.432E-09 = res : 1.297E-13 ==
solution 47 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -8.91867121275053E-01 4.52297510482370E-01
z1 : 8.72025885096329E-01 -4.89459759042523E-01
z2 : 9.23879532511287E-01 3.82683432365090E-01
z3 : 2.70515101984914E-01 9.62715731458717E-01
z4 : -3.10822652595038E-01 -9.50467926146793E-01
z5 : 4.12555016480266E-01 -9.10932685974637E-01
z6 : -9.23879532511286E-01 -3.82683432365090E-01
z7 : -3.52406229691418E-01 9.35847129222866E-01
== err : 9.758E-16 = rco : 3.124E-02 = res : 1.303E-15 ==
solution 48 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.02368927062182E-01 -4.30964406271151E-01
z1 : -7.07106781186547E-01 7.07106781186548E-01
z2 : -7.07106781186548E-01 7.07106781186547E-01
z3 : 7.07106781186548E-01 -7.07106781186548E-01
z4 : 4.30964406271151E-01 9.02368927062183E-01
z5 : 9.02368927062182E-01 4.30964406271151E-01
z6 : -4.30964406271151E-01 -9.02368927062183E-01
z7 : 7.07106781186547E-01 -7.07106781186548E-01
== err : 7.176E-16 = rco : 3.566E-02 = res : 6.452E-16 ==
solution 49 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.21320343559643E-01 -1.21320343559643E-01
z1 : -4.12132034355964E+00 -4.12132034355964E+00
z2 : 7.07106781186548E-01 7.07106781186548E-01
z3 : 7.07106781186548E-01 7.07106781186548E-01
z4 : 7.07106781186548E-01 7.07106781186548E-01
z5 : 7.07106781186548E-01 7.07106781186548E-01
z6 : 7.07106781186547E-01 7.07106781186547E-01
z7 : 7.07106781186548E-01 7.07106781186548E-01
== err : 3.295E-15 = rco : 1.096E-02 = res : 3.382E-15 ==
solution 50 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.16219687151264E+00 1.80579079170737E+00
z1 : -2.52016870801098E-01 3.91577354604836E-01
z2 : 1.16219674711298E+00 1.80579089798552E+00
z3 : 1.16219668236010E+00 -1.80579079737419E+00
z4 : -2.52016936619296E-01 -3.91577318325042E-01
z5 : -1.16219656798664E+00 -1.80579095901461E+00
z6 : 2.52016898935479E-01 -3.91577324732638E-01
z7 : 2.52016918511113E-01 3.91577355148749E-01
== err : 2.520E-07 = rco : 3.184E-09 = res : 6.432E-14 ==
solution 51 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 2.91703841149741E-62 -1.71572875253810E-01
z1 : 3.88938454866321E-62 -5.82842712474619E+00
z2 : -3.49595339853895E-62 1.00000000000000E+00
z3 : 0.00000000000000E+00 1.00000000000000E+00
z4 : -9.72346137165804E-62 1.00000000000000E+00
z5 : -3.88938454866321E-62 1.00000000000000E+00
z6 : 7.77876909732643E-62 1.00000000000000E+00
z7 : 0.00000000000000E+00 1.00000000000000E+00
== err : 2.250E-16 = rco : 8.006E-03 = res : 2.498E-16 ==
solution 52 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.13898131252354E-01 1.30020863168295E-01
z1 : 1.23054868236624E+01 -5.09709953396439E+00
z2 : -9.22813706786104E-02 3.82241952894593E-02
z3 : -9.23879532511287E-01 3.82683432365090E-01
z4 : -9.24946589237340E+00 3.83125421732842E+00
z5 : 6.93636426436996E-02 -2.87313615186211E-02
z6 : -2.71920507200175E+00 1.12633161969684E+00
z7 : 9.23879532511287E-01 -3.82683432365090E-01
== err : 1.870E-14 = rco : 1.138E-03 = res : 4.148E-15 ==
solution 53 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.30020863168295E-01 3.13898131252354E-01
z1 : -5.09709953396439E+00 -1.23054868236624E+01
z2 : 3.82241952894593E-02 9.22813706786105E-02
z3 : 3.82683432365090E-01 9.23879532511287E-01
z4 : 3.83125421732842E+00 9.24946589237340E+00
z5 : -2.87313615186211E-02 -6.93636426436996E-02
z6 : 1.12633161969683E+00 2.71920507200175E+00
z7 : -3.82683432365090E-01 -9.23879532511287E-01
== err : 1.738E-14 = rco : 1.152E-03 = res : 5.558E-15 ==
solution 54 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -7.07106781186548E-01 7.07106781186548E-01
z1 : 4.12132034355964E+00 -4.12132034355964E+00
z2 : 1.21320343559643E-01 -1.21320343559643E-01
z3 : -7.07106781186548E-01 7.07106781186548E-01
z4 : -7.07106781186548E-01 7.07106781186548E-01
z5 : -7.07106781186548E-01 7.07106781186548E-01
z6 : -7.07106781186548E-01 7.07106781186548E-01
z7 : -7.07106781186548E-01 7.07106781186548E-01
== err : 3.494E-15 = rco : 9.913E-03 = res : 8.906E-16 ==
solution 55 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.13898131252354E-01 -1.30020863168295E-01
z1 : -1.23054868236624E+01 5.09709953396439E+00
z2 : 9.22813706786105E-02 -3.82241952894593E-02
z3 : 9.23879532511287E-01 -3.82683432365090E-01
z4 : 9.24946589237340E+00 -3.83125421732843E+00
z5 : -6.93636426436996E-02 2.87313615186211E-02
z6 : 2.71920507200175E+00 -1.12633161969683E+00
z7 : -9.23879532511287E-01 3.82683432365090E-01
== err : 1.734E-14 = rco : 1.021E-03 = res : 2.502E-15 ==
solution 56 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.30020863168295E-01 -3.13898131252354E-01
z1 : 5.09709953396439E+00 1.23054868236624E+01
z2 : -3.82241952894593E-02 -9.22813706786105E-02
z3 : -3.82683432365090E-01 -9.23879532511287E-01
z4 : -3.83125421732842E+00 -9.24946589237340E+00
z5 : 2.87313615186211E-02 6.93636426436996E-02
z6 : -1.12633161969683E+00 -2.71920507200175E+00
z7 : 3.82683432365090E-01 9.23879532511287E-01
== err : 1.738E-14 = rco : 1.152E-03 = res : 5.558E-15 ==
solution 57 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.13898131252354E-01 1.30020863168295E-01
z1 : -1.23054868236624E+01 -5.09709953396439E+00
z2 : 9.22813706786104E-02 3.82241952894593E-02
z3 : 9.23879532511287E-01 3.82683432365090E-01
z4 : 9.24946589237340E+00 3.83125421732842E+00
z5 : -6.93636426436996E-02 -2.87313615186211E-02
z6 : 2.71920507200175E+00 1.12633161969684E+00
z7 : -9.23879532511287E-01 -3.82683432365090E-01
== err : 1.870E-14 = rco : 1.138E-03 = res : 4.148E-15 ==
solution 58 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 4.55089884661263E-01 4.55089845420556E-01
z1 : -4.55089742280174E-01 -4.55089792843591E-01
z2 : -4.55089907653736E-01 -4.55089901992381E-01
z3 : -2.65245781302842E+00 -2.65245784602522E+00
z4 : 4.55089836463192E-01 4.55089875703899E-01
z5 : -4.55089978844281E-01 -4.55089928280864E-01
z6 : 2.65245781302842E+00 2.65245784602522E+00
z7 : 4.55089907653736E-01 4.55089901992381E-01
== err : 3.645E-07 = rco : 1.080E-08 = res : 1.429E-13 ==
solution 59 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.55377397499837E+00 7.68739709406695E-09
z1 : -1.55377393584503E+00 1.45660648771518E-07
z2 : -1.55377399263837E+00 -6.89866258379062E-08
z3 : -2.66585465026187E-01 1.18362337489515E-08
z4 : 1.55377397306170E+00 -7.68739709570874E-09
z5 : -1.55377401221504E+00 -1.45660648769876E-07
z6 : 2.66585465026187E-01 -1.18362337489515E-08
z7 : 1.55377399263837E+00 6.89866258379062E-08
== err : 1.500E-07 = rco : 3.726E-09 = res : 2.965E-14 ==
solution 60 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 2.09868413632237E+00 -4.55089957366403E-01
z1 : 9.86841157292716E-02 -4.55089907233021E-01
z2 : 4.55089850133312E-01 -2.09868389824163E+00
z3 : 4.55089846970918E-01 -9.86841207603778E-02
z4 : -9.86841257350621E-02 4.55089869912081E-01
z5 : -2.09868399878550E+00 4.55089844078713E-01
z6 : -4.55089885430551E-01 9.86841170421831E-02
z7 : -4.55089939204757E-01 2.09868405256845E+00
== err : 2.161E-07 = rco : 3.317E-09 = res : 3.818E-14 ==
solution 61 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.86841289820799E-02 -4.55089844007652E-01
z1 : 2.09868408816961E+00 -4.55089954142305E-01
z2 : 4.55089866048024E-01 -9.86840931754068E-02
z3 : 4.55089772878631E-01 -2.09868404461382E+00
z4 : -2.09868421245705E+00 4.55089809274654E-01
z5 : -9.86841687378843E-02 4.55089855525992E-01
z6 : -4.55089605679759E-01 2.09868413669282E+00
z7 : -4.55089869203645E-01 9.86841344457132E-02
== err : 2.593E-07 = rco : 3.572E-09 = res : 6.843E-14 ==
solution 62 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -5.86050157973074E-17 1.00000000000000E+00
z1 : 2.98866403134070E-17 -1.00000000000000E+00
z2 : 1.14995953502573E-17 -1.00000000000000E+00
z3 : -9.42809041582064E-01 -3.33333333333333E-01
z4 : 3.26258273952043E-17 1.00000000000000E+00
z5 : -9.42809041582063E-01 3.33333333333333E-01
z6 : 9.42809041582064E-01 3.33333333333333E-01
z7 : 9.42809041582063E-01 -3.33333333333333E-01
== err : 6.290E-16 = rco : 3.921E-02 = res : 6.106E-16 ==
solution 63 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.96263071700389E-17 1.00000000000000E+00
z1 : -1.12335503773107E-17 -1.00000000000000E+00
z2 : -1.75107532849400E-17 -1.00000000000000E+00
z3 : 9.42809041582063E-01 -3.33333333333333E-01
z4 : -2.66973508410820E-17 1.00000000000000E+00
z5 : 9.42809041582064E-01 3.33333333333333E-01
z6 : -9.42809041582064E-01 3.33333333333333E-01
z7 : -9.42809041582063E-01 -3.33333333333333E-01
== err : 6.623E-16 = rco : 3.310E-02 = res : 7.380E-16 ==
solution 64 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -8.91867121275053E-01 -4.52297510482370E-01
z1 : 8.72025885096329E-01 4.89459759042523E-01
z2 : 9.23879532511287E-01 -3.82683432365090E-01
z3 : 2.70515101984914E-01 -9.62715731458717E-01
z4 : -3.10822652595037E-01 9.50467926146792E-01
z5 : 4.12555016480266E-01 9.10932685974637E-01
z6 : -9.23879532511287E-01 3.82683432365090E-01
z7 : -3.52406229691418E-01 -9.35847129222866E-01
== err : 7.152E-16 = rco : 3.124E-02 = res : 6.753E-16 ==
solution 65 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.16219654013414E+00 1.80579088623745E+00
z1 : 2.52016940737644E-01 3.91577348556042E-01
z2 : 1.16219654899453E+00 1.80579081960188E+00
z3 : -2.52016915304533E-01 3.91577346399625E-01
z4 : -2.52016905570545E-01 -3.91577331275208E-01
z5 : 1.16219653477559E+00 -1.80579070561868E+00
z6 : 2.52016943820956E-01 -3.91577373272767E-01
z7 : -1.16219660731951E+00 -1.80579099062834E+00
== err : 2.141E-07 = rco : 4.687E-09 = res : 3.441E-14 ==
solution 66 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 4.30964406271151E-01 -9.02368927062183E-01
z1 : 7.07106781186548E-01 7.07106781186548E-01
z2 : -7.07106781186548E-01 -7.07106781186548E-01
z3 : -7.07106781186548E-01 -7.07106781186548E-01
z4 : -9.02368927062183E-01 4.30964406271151E-01
z5 : 7.07106781186548E-01 7.07106781186548E-01
z6 : -4.30964406271151E-01 9.02368927062183E-01
z7 : 9.02368927062182E-01 -4.30964406271151E-01
== err : 7.912E-16 = rco : 8.691E-02 = res : 6.753E-16 ==
solution 67 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 8.31990290087486E-01 -5.54790192054745E-01
z1 : 3.82683432365090E-01 9.23879532511287E-01
z2 : -9.80601882939922E-01 1.96010069064527E-01
z3 : 5.81579360246292E-01 8.13489672789713E-01
z4 : -8.76671142655794E-01 -4.81090124233064E-01
z5 : -3.82683432365090E-01 -9.23879532511287E-01
z6 : 2.79718020635393E-01 -9.60082199049549E-01
z7 : 1.63985354626545E-01 9.86462773483119E-01
== err : 6.981E-16 = rco : 5.162E-02 = res : 6.823E-16 ==
solution 68 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.02368927062183E-01 -4.30964406271151E-01
z1 : -4.30964406271151E-01 -9.02368927062182E-01
z2 : 9.02368927062182E-01 4.30964406271151E-01
z3 : 7.07106781186548E-01 -7.07106781186548E-01
z4 : 4.30964406271151E-01 9.02368927062183E-01
z5 : -7.07106781186548E-01 7.07106781186548E-01
z6 : -7.07106781186548E-01 7.07106781186548E-01
z7 : 7.07106781186548E-01 -7.07106781186548E-01
== err : 8.370E-16 = rco : 3.110E-02 = res : 6.753E-16 ==
solution 69 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.80579121742852E+00 -1.16219679886871E+00
z1 : -3.91577316477008E-01 2.52016944743145E-01
z2 : 3.91577316875133E-01 2.52016944999377E-01
z3 : 1.80579113166500E+00 -1.16219686078610E+00
z4 : 3.91577280886611E-01 -2.52016873127099E-01
z5 : 1.80579084884554E+00 1.16219678628223E+00
z6 : -1.80579078207757E+00 1.16219674331075E+00
z7 : -3.91577262289192E-01 -2.52016886553595E-01
== err : 3.582E-07 = rco : 8.240E-09 = res : 1.249E-13 ==
solution 70 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.23879532511287E-01 -3.82683432365089E-01
z1 : 5.54790192054745E-01 -8.31990290087486E-01
z2 : -9.86462773483118E-01 -1.63985354626545E-01
z3 : 9.60082199049549E-01 -2.79718020635393E-01
z4 : 9.23879532511287E-01 3.82683432365090E-01
z5 : 4.81090124233064E-01 8.76671142655794E-01
z6 : -8.13489672789713E-01 -5.81579360246292E-01
z7 : -1.96010069064527E-01 9.80601882939922E-01
== err : 1.045E-15 = rco : 5.260E-02 = res : 1.099E-15 ==
solution 71 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -3.82683432365090E-01 9.23879532511287E-01
z1 : -8.76671142655794E-01 4.81090124233064E-01
z2 : 5.81579360246292E-01 -8.13489672789713E-01
z3 : -9.80601882939922E-01 -1.96010069064527E-01
z4 : 3.82683432365090E-01 -9.23879532511287E-01
z5 : 8.31990290087486E-01 5.54790192054745E-01
z6 : 1.63985354626545E-01 -9.86462773483119E-01
z7 : 2.79718020635393E-01 9.60082199049549E-01
== err : 7.472E-16 = rco : 4.699E-02 = res : 4.965E-16 ==
solution 72 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 8.71132905637176E-01 -4.91047310058951E-01
z1 : 9.96285960708424E-01 8.61062395839698E-02
z2 : -9.96285960708424E-01 -8.61062395839696E-02
z3 : -8.71132905637176E-01 4.91047310058951E-01
z4 : 4.91047310058951E-01 -8.71132905637176E-01
z5 : -8.61062395839697E-02 -9.96285960708424E-01
z6 : 8.61062395839696E-02 9.96285960708425E-01
z7 : -4.91047310058951E-01 8.71132905637176E-01
== err : 4.228E-16 = rco : 1.362E-01 = res : 5.979E-16 ==
solution 73 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.11150763893057E-61 5.82842712474619E+00
z1 : 2.33363072919793E-61 1.71572875253810E-01
z2 : -3.11150763893057E-61 -1.00000000000000E+00
z3 : -3.11150763893057E-61 -1.00000000000000E+00
z4 : 4.66726145839586E-61 -1.00000000000000E+00
z5 : -9.33452291679171E-61 -1.00000000000000E+00
z6 : 1.55575381946529E-61 -1.00000000000000E+00
z7 : -3.88938454866321E-61 -1.00000000000000E+00
== err : 2.041E-16 = rco : 8.546E-03 = res : 1.554E-15 ==
solution 74 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.12132034355964E+00 4.12132034355964E+00
z1 : -1.21320343559643E-01 1.21320343559643E-01
z2 : 7.07106781186548E-01 -7.07106781186548E-01
z3 : 7.07106781186547E-01 -7.07106781186548E-01
z4 : 7.07106781186548E-01 -7.07106781186548E-01
z5 : 7.07106781186548E-01 -7.07106781186548E-01
z6 : 7.07106781186548E-01 -7.07106781186548E-01
z7 : 7.07106781186547E-01 -7.07106781186548E-01
== err : 3.578E-15 = rco : 8.728E-03 = res : 1.116E-15 ==
solution 75 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.63985354626545E-01 9.86462773483118E-01
z1 : -2.79718020635393E-01 -9.60082199049549E-01
z2 : 3.82683432365090E-01 -9.23879532511287E-01
z3 : 8.76671142655794E-01 -4.81090124233064E-01
z4 : -5.81579360246292E-01 8.13489672789713E-01
z5 : 9.80601882939922E-01 1.96010069064527E-01
z6 : -3.82683432365089E-01 9.23879532511287E-01
z7 : -8.31990290087486E-01 -5.54790192054745E-01
== err : 7.955E-16 = rco : 4.777E-02 = res : 7.109E-16 ==
solution 76 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.42465650118430E-01 3.34303003795725E-01
z1 : -3.34303003795725E-01 9.42465650118430E-01
z2 : 8.61062395839697E-02 -9.96285960708424E-01
z3 : -8.61062395839696E-02 9.96285960708424E-01
z4 : 3.34303003795725E-01 -9.42465650118430E-01
z5 : 9.42465650118430E-01 -3.34303003795725E-01
z6 : -9.96285960708424E-01 8.61062395839696E-02
z7 : 9.96285960708424E-01 -8.61062395839696E-02
== err : 6.800E-16 = rco : 1.982E-01 = res : 9.037E-16 ==
solution 77 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.80579076635641E+00 -1.16219648467055E+00
z1 : 3.91577351820645E-01 2.52016910410016E-01
z2 : -3.91577333484638E-01 2.52016898609067E-01
z3 : -1.80579060541611E+00 -1.16219648320799E+00
z4 : -3.91577395001227E-01 -2.52016955003151E-01
z5 : -1.80579103601289E+00 1.16219658073445E+00
z6 : 1.80579089163574E+00 1.16219648781415E+00
z7 : 3.91577360102075E-01 -2.52016954686001E-01
== err : 3.290E-07 = rco : 5.187E-09 = res : 8.121E-14 ==
solution 78 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.80579097021334E+00 1.16219649479281E+00
z1 : -3.91577322766642E-01 -2.52016883772983E-01
z2 : 3.91577369763687E-01 -2.52016914020012E-01
z3 : 1.80579068526901E+00 1.16219698210802E+00
z4 : 3.91577377685499E-01 2.52016846819006E-01
z5 : 1.80579092000877E+00 -1.16219679589622E+00
z6 : -1.80579074385034E+00 -1.16219668252166E+00
z7 : -3.91577315896650E-01 2.52016952491035E-01
== err : 3.996E-07 = rco : 5.344E-09 = res : 1.646E-13 ==
solution 79 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.16219655362009E+00 1.80579086462699E+00
z1 : 1.16219663257498E+00 -1.80579098730504E+00
z2 : -2.52016896871854E-01 -3.91577353659727E-01
z3 : -1.16219675128522E+00 -1.80579079606582E+00
z4 : 2.52016936681852E-01 -3.91577343935929E-01
z5 : 2.52016916667726E-01 3.91577312838502E-01
z6 : -1.16219642341959E+00 1.80579099241973E+00
z7 : -2.52016967967985E-01 3.91577311081297E-01
== err : 2.399E-07 = rco : 3.633E-09 = res : 4.840E-14 ==
solution 80 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.49498218589242E-61 -7.37606572855018E-01
z1 : 1.67729708661101E-61 -2.93985090992536E-01
z2 : -1.28835863174469E-61 2.93985090992536E-01
z3 : 3.50044609379689E-61 7.37606572855018E-01
z4 : 1.45851920574871E-61 1.35573629194945E+00
z5 : 0.00000000000000E+00 3.40153303905261E+00
z6 : -6.22301527786114E-61 -3.40153303905261E+00
z7 : -4.37555761724612E-62 -1.35573629194945E+00
== err : 4.765E-15 = rco : 1.796E-02 = res : 1.332E-15 ==
solution 81 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -7.37606572855018E-01 4.01092781580894E-62
z1 : -2.93985090992536E-01 2.09054419490648E-61
z2 : 2.93985090992536E-01 -3.95015618223608E-62
z3 : 7.37606572855018E-01 9.72346137165804E-62
z4 : 1.35573629194945E+00 3.98661916237979E-61
z5 : 3.40153303905261E+00 4.29047733024411E-61
z6 : -3.40153303905261E+00 -8.36217677962591E-61
z7 : -1.35573629194945E+00 -3.42752013350946E-61
== err : 4.765E-15 = rco : 1.796E-02 = res : 1.332E-15 ==
solution 82 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 5.21566609513552E-01 -5.21566609513552E-01
z1 : 2.07878851408567E-01 -2.07878851408567E-01
z2 : -2.07878851408567E-01 2.07878851408567E-01
z3 : -5.21566609513552E-01 5.21566609513552E-01
z4 : -9.58650325538158E-01 9.58650325538158E-01
z5 : -2.40524707834419E+00 2.40524707834419E+00
z6 : 2.40524707834419E+00 -2.40524707834419E+00
z7 : 9.58650325538158E-01 -9.58650325538158E-01
== err : 4.921E-15 = rco : 2.231E-02 = res : 8.882E-16 ==
solution 83 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.02368927062182E-01 4.30964406271151E-01
z1 : -7.07106781186548E-01 -7.07106781186548E-01
z2 : -4.30964406271151E-01 9.02368927062183E-01
z3 : 7.07106781186548E-01 7.07106781186548E-01
z4 : 7.07106781186548E-01 7.07106781186548E-01
z5 : -7.07106781186548E-01 -7.07106781186548E-01
z6 : 9.02368927062183E-01 -4.30964406271151E-01
z7 : 4.30964406271151E-01 -9.02368927062182E-01
== err : 8.944E-16 = rco : 2.704E-02 = res : 9.037E-16 ==
solution 84 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.23879532511287E-01 -3.82683432365090E-01
z1 : -8.72025885096329E-01 4.89459759042523E-01
z2 : 8.91867121275053E-01 -4.52297510482370E-01
z3 : 3.52406229691418E-01 -9.35847129222866E-01
z4 : 9.23879532511287E-01 3.82683432365090E-01
z5 : -4.12555016480266E-01 9.10932685974638E-01
z6 : 3.10822652595037E-01 9.50467926146792E-01
z7 : -2.70515101984913E-01 -9.62715731458717E-01
== err : 8.848E-16 = rco : 3.272E-02 = res : 8.896E-16 ==
solution 85 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.88504402031877E-01 -1.88504383557728E-01
z1 : -1.09868400888077E+00 1.09868415617465E+00
z2 : 1.09868410511717E+00 -1.09868417317374E+00
z3 : -1.88504402031877E-01 1.88504383557728E-01
z4 : -1.09868405699897E+00 1.09868416467420E+00
z5 : -1.09868421805485E+00 1.09868407076097E+00
z6 : 1.09868412181845E+00 -1.09868405376188E+00
z7 : 1.09868405699897E+00 -1.09868416467420E+00
== err : 1.121E-07 = rco : 3.790E-09 = res : 2.340E-14 ==
solution 86 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.83125421732842E+00 -9.24946589237340E+00
z1 : 3.82683432365090E-01 -9.23879532511287E-01
z2 : 3.82241952894593E-02 -9.22813706786105E-02
z3 : -5.09709953396439E+00 1.23054868236624E+01
z4 : 1.30020863168295E-01 -3.13898131252354E-01
z5 : -3.82683432365090E-01 9.23879532511287E-01
z6 : 1.12633161969684E+00 -2.71920507200175E+00
z7 : -2.87313615186211E-02 6.93636426436996E-02
== err : 1.283E-14 = rco : 1.220E-03 = res : 7.117E-15 ==
solution 87 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 2.16501993427599E-08 -3.75114177310700E+00
z1 : -3.71458696251139E-09 -6.43594326314524E-01
z2 : 3.40168003813908E-08 -6.43594151056910E-01
z3 : 2.65876264611106E-08 6.43594207936374E-01
z4 : 3.71458696251138E-09 6.43594326314524E-01
z5 : -2.16501993427599E-08 3.75114177310700E+00
z6 : -3.40168003861353E-08 -6.43594354754256E-01
z7 : -2.65876264563661E-08 6.43594297874792E-01
== err : 4.286E-07 = rco : 1.092E-08 = res : 1.263E-13 ==
solution 88 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.23054868236624E+01 5.09709953396439E+00
z1 : -3.13898131252354E-01 -1.30020863168295E-01
z2 : 9.23879532511287E-01 3.82683432365090E-01
z3 : -2.71920507200175E+00 -1.12633161969683E+00
z4 : 6.93636426436996E-02 2.87313615186211E-02
z5 : -9.24946589237340E+00 -3.83125421732842E+00
z6 : -9.23879532511287E-01 -3.82683432365090E-01
z7 : -9.22813706786104E-02 -3.82241952894593E-02
== err : 1.716E-14 = rco : 1.236E-03 = res : 3.534E-15 ==
solution 89 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.33333333333333E-01 -9.42809041582063E-01
z1 : 3.33333333333334E-01 9.42809041582063E-01
z2 : -3.33333333333334E-01 9.42809041582064E-01
z3 : 1.00000000000000E+00 -1.18857422904136E-16
z4 : -1.00000000000000E+00 5.24952284910094E-17
z5 : -1.00000000000000E+00 -1.40166625356244E-17
z6 : -3.33333333333333E-01 -9.42809041582063E-01
z7 : 1.00000000000000E+00 8.96387840449157E-17
== err : 6.591E-16 = rco : 3.455E-02 = res : 7.448E-16 ==
solution 90 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.23879532511287E-01 -3.82683432365090E-01
z1 : 9.60082199049549E-01 2.79718020635393E-01
z2 : -9.86462773483119E-01 1.63985354626545E-01
z3 : 5.54790192054745E-01 8.31990290087486E-01
z4 : -9.23879532511287E-01 3.82683432365090E-01
z5 : -1.96010069064527E-01 -9.80601882939922E-01
z6 : -8.13489672789713E-01 5.81579360246291E-01
z7 : 4.81090124233064E-01 -8.76671142655794E-01
== err : 1.053E-15 = rco : 4.594E-02 = res : 9.155E-16 ==
solution 91 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.55377396988086E+00 -7.57321362681488E-08
z1 : 1.55377394545991E+00 1.07898111436291E-08
z2 : -1.55377401089851E+00 -1.40674461321847E-07
z3 : -1.55377396988086E+00 7.57321362681488E-08
z4 : -2.66585468930758E-01 -1.29935803736726E-08
z5 : 1.55377400260016E+00 -1.07898112144496E-08
z6 : -1.55377393716156E+00 1.40674461392668E-07
z7 : 2.66585468930758E-01 1.29935803736727E-08
== err : 1.464E-07 = rco : 2.782E-09 = res : 2.876E-14 ==
solution 92 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.00000000000000E+00 1.13440684872793E-75
z1 : -1.00000000000000E+00 -1.24460305557223E-59
z2 : -1.00000000000000E+00 -7.21022300886600E-60
z3 : -1.00000000000000E+00 0.00000000000000E+00
z4 : 5.82842712474619E+00 2.36474580558723E-59
z5 : 1.71572875253810E-01 1.24460305557223E-60
z6 : -1.00000000000000E+00 9.95682444457783E-60
z7 : -1.00000000000000E+00 0.00000000000000E+00
== err : 7.850E-17 = rco : 1.291E-02 = res : 1.110E-15 ==
solution 93 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.09868405463927E+00 -1.09868406567937E+00
z1 : -1.09868422264309E+00 -1.09868420353325E+00
z2 : 1.09868412194961E+00 1.09868411897925E+00
z3 : 1.09868405463927E+00 1.09868406567937E+00
z4 : 1.88504402436736E-01 1.88504400542555E-01
z5 : -1.09868400429253E+00 -1.09868402340237E+00
z6 : 1.09868410498601E+00 1.09868410795637E+00
z7 : -1.88504402436736E-01 -1.88504400542555E-01
== err : 1.422E-07 = rco : 3.216E-09 = res : 2.804E-14 ==
solution 94 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.55089798807667E-01 4.55089961096642E-01
z1 : 2.65245842563678E+00 -2.65245780286837E+00
z2 : 4.55089802546758E-01 -4.55089909396925E-01
z3 : 4.55089914838605E-01 -4.55089863427247E-01
z4 : -4.55089922316788E-01 4.55089760027813E-01
z5 : -4.55089802546758E-01 4.55089909396925E-01
z6 : -2.65245842563678E+00 2.65245780286837E+00
z7 : 4.55089806285850E-01 -4.55089857697208E-01
== err : 4.419E-07 = rco : 8.920E-09 = res : 1.326E-13 ==
solution 95 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -9.96285960708424E-01 8.61062395839697E-02
z1 : 9.96285960708424E-01 -8.61062395839696E-02
z2 : 8.71132905637176E-01 4.91047310058951E-01
z3 : -4.91047310058951E-01 -8.71132905637176E-01
z4 : 8.61062395839697E-02 -9.96285960708424E-01
z5 : -8.61062395839697E-02 9.96285960708424E-01
z6 : 4.91047310058951E-01 8.71132905637176E-01
z7 : -8.71132905637176E-01 -4.91047310058951E-01
== err : 3.631E-16 = rco : 1.724E-01 = res : 5.165E-16 ==
solution 96 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.96010069064527E-01 9.80601882939922E-01
z1 : 9.23879532511287E-01 -3.82683432365090E-01
z2 : -5.54790192054745E-01 -8.31990290087486E-01
z3 : 9.86462773483118E-01 -1.63985354626545E-01
z4 : -9.60082199049549E-01 -2.79718020635393E-01
z5 : -9.23879532511287E-01 3.82683432365090E-01
z6 : -4.81090124233064E-01 8.76671142655794E-01
z7 : 8.13489672789713E-01 -5.81579360246292E-01
== err : 1.165E-15 = rco : 4.960E-02 = res : 7.917E-16 ==
solution 97 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 2.09868373507338E+00 4.55089787979379E-01
z1 : 9.86841318934415E-02 4.55089839336587E-01
z2 : -4.55089872249228E-01 -9.86841390303943E-02
z3 : -4.55089846969098E-01 -2.09868389157532E+00
z4 : -9.86841164154167E-02 -4.55089908678579E-01
z5 : -2.09868399656144E+00 -4.55089985402017E-01
z6 : 4.55090022613074E-01 2.09868416816328E+00
z7 : 4.55089942615295E-01 9.86841292070621E-02
== err : 3.850E-07 = rco : 7.626E-09 = res : 1.135E-13 ==
solution 98 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 3.33333333333334E-01 -9.42809041582064E-01
z1 : -1.00000000000000E+00 -5.29936890956617E-17
z2 : 1.00000000000000E+00 -1.92408865311576E-16
z3 : 1.00000000000000E+00 2.00495235477486E-16
z4 : 3.33333333333333E-01 9.42809041582063E-01
z5 : -1.00000000000000E+00 -1.19034615671931E-16
z6 : -3.33333333333333E-01 9.42809041582063E-01
z7 : -3.33333333333333E-01 -9.42809041582063E-01
== err : 1.418E-15 = rco : 8.808E-02 = res : 6.959E-16 ==
solution 99 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 7.07106771897931E-01 -7.07106786879801E-01
z1 : -7.07106827811084E-01 -7.07106680972764E-01
z2 : -7.07106734562012E-01 -7.07106881400332E-01
z3 : -7.07106651156506E-01 7.07106875699257E-01
z4 : -7.07106911216589E-01 7.07106686673839E-01
z5 : 7.07106823381468E-01 7.07106760658907E-01
z6 : 7.07106738991628E-01 7.07106801714189E-01
z7 : 7.07106790475164E-01 -7.07106775493295E-01
== err : 1.608E-07 = rco : 1.878E-08 = res : 6.712E-14 ==
solution 100 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.09868410817929E+00 -1.09868417043399E+00
z1 : -1.09868401017488E+00 1.09868415522594E+00
z2 : -1.09868416775854E+00 1.09868406410566E+00
z3 : -1.88504383028540E-01 1.88504400812562E-01
z4 : 1.09868411875633E+00 -1.09868405650163E+00
z5 : -1.09868421676074E+00 1.09868407170968E+00
z6 : 1.88504383028539E-01 -1.88504400812562E-01
z7 : 1.09868416775854E+00 -1.09868406410566E+00
== err : 1.099E-07 = rco : 2.705E-09 = res : 2.351E-14 ==
solution 101 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.09868411777227E+00 1.09868413898455E+00
z1 : -1.09868400744266E+00 -1.09868402033238E+00
z2 : -1.09868416432816E+00 -1.09868414727716E+00
z3 : -1.88504383617099E-01 -1.88504386542589E-01
z4 : 1.09868410916335E+00 1.09868408795107E+00
z5 : -1.09868421949296E+00 -1.09868420660324E+00
z6 : 1.88504383617099E-01 1.88504386542589E-01
z7 : 1.09868416432816E+00 1.09868414727716E+00
== err : 1.388E-07 = rco : 2.372E-09 = res : 2.421E-14 ==
solution 102 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.10919936252800E+01 1.10919936252800E+01
z1 : -4.50775592640477E-02 4.50775592640477E-02
z2 : -2.40524707834419E+00 2.40524707834419E+00
z3 : 2.40524707834419E+00 -2.40524707834419E+00
z4 : 4.50775592640477E-02 -4.50775592640477E-02
z5 : 1.10919936252800E+01 -1.10919936252800E+01
z6 : 2.07878851408567E-01 -2.07878851408567E-01
z7 : -2.07878851408567E-01 2.07878851408567E-01
== err : 6.197E-14 = rco : 5.829E-04 = res : 1.998E-15 ==
solution 103 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 7.07106768829381E-01 -7.07106781913272E-01
z1 : 7.07106796263741E-01 7.07106748898934E-01
z2 : 7.07106766109354E-01 7.07106813474162E-01
z3 : -7.07106682953436E-01 7.07106842376368E-01
z4 : -7.07106879419659E-01 7.07106719996727E-01
z5 : -7.07106826572450E-01 -7.07106727598217E-01
z6 : -7.07106735800645E-01 -7.07106834774878E-01
z7 : 7.07106793543714E-01 -7.07106780459823E-01
== err : 1.153E-07 = rco : 1.244E-08 = res : 3.041E-14 ==
solution 104 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 9.02368927062183E-01 -4.30964406271151E-01
z1 : 7.07106781186548E-01 7.07106781186547E-01
z2 : 4.30964406271151E-01 -9.02368927062182E-01
z3 : -7.07106781186548E-01 -7.07106781186547E-01
z4 : -7.07106781186548E-01 -7.07106781186548E-01
z5 : 7.07106781186548E-01 7.07106781186548E-01
z6 : -9.02368927062182E-01 4.30964406271151E-01
z7 : -4.30964406271151E-01 9.02368927062182E-01
== err : 7.427E-16 = rco : 3.466E-02 = res : 1.295E-15 ==
solution 105 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -1.05542339112525E-57 -1.56864478186269E+01
z1 : 2.03803750349952E-59 -2.93985090992536E-01
z2 : 3.01816240976265E-59 2.93985090992536E-01
z3 : 4.13208214449980E-58 1.56864478186269E+01
z4 : -9.33452291679171E-60 6.37492956698932E-02
z5 : 3.78359328893957E-58 3.40153303905261E+00
z6 : 2.43942198892157E-58 -3.40153303905261E+00
z7 : -4.97841222228891E-60 -6.37492956698932E-02
== err : 4.537E-14 = rco : 1.129E-03 = res : 4.940E-15 ==
solution 106 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : 1.56864478186269E+01 -4.72949161117447E-59
z1 : 2.93985090992536E-01 -3.79214993494663E-61
z2 : -2.93985090992536E-01 -1.17653882597062E-60
z3 : -1.56864478186269E+01 5.84963436118947E-59
z4 : -6.37492956698932E-02 1.45851920574871E-62
z5 : -3.40153303905261E+00 -1.71132920141181E-60
z6 : 3.40153303905261E+00 -8.55664600705907E-60
z7 : 6.37492956698932E-02 3.98661916237979E-61
== err : 5.575E-14 = rco : 1.129E-03 = res : 8.882E-15 ==
solution 107 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -4.55089866025937E-01 -9.86840219842762E-02
z1 : -4.55089913318303E-01 -2.09868397202084E+00
z2 : 2.09868422035769E+00 4.55089967168990E-01
z3 : 9.86841528271900E-02 4.55089837254986E-01
z4 : 4.55089679053226E-01 2.09868422095106E+00
z5 : 4.55089894115099E-01 9.86840905797406E-02
z6 : -9.86840787374992E-02 -4.55089839503633E-01
z7 : -2.09868408827146E+00 -4.55090282446025E-01
== err : 4.218E-07 = rco : 5.507E-09 = res : 1.814E-13 ==
solution 108 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 16
the solution for t :
z0 : -5.54790192054745E-01 8.31990290087486E-01
z1 : 9.86462773483118E-01 1.63985354626545E-01
z2 : -9.60082199049549E-01 2.79718020635393E-01
z3 : -9.23879532511287E-01 -3.82683432365090E-01
z4 : -4.81090124233064E-01 -8.76671142655794E-01
z5 : 8.13489672789713E-01 5.81579360246292E-01
z6 : 1.96010069064527E-01 -9.80601882939922E-01
z7 : 9.23879532511287E-01 3.82683432365089E-01
== err : 7.632E-16 = rco : 4.440E-02 = res : 1.295E-15 ==