7
1 + y1 + y2 + y3 + y4 + y5 + y6 + y7;
y1 + y1*y2 + y2*y3 + y3*y4 + y4*y5 + y5*y6 + y6*y7 + y7;
y1*y2 + y1*y2*y3 + y2*y3*y4 + y3*y4*y5 + y4*y5*y6 + y5*y6*y7
+ y6*y7 + y7*y1;
y1*y2*y3 + y1*y2*y3*y4 + y2*y3*y4*y5 + y3*y4*y5*y6 + y4*y5*y6*y7
+ y5*y6*y7 + y6*y7*y1 + y7*y1*y2;
y1*y2*y3*y4 + y1*y2*y3*y4*y5 + y2*y3*y4*y5*y6 + y3*y4*y5*y6*y7
+ y4*y5*y6*y7 + y5*y6*y7*y1 + y6*y7*y1*y2 + y7*y1*y2*y3;
y1*y2*y3*y4*y5 + y1*y2*y3*y4*y5*y6 + y2*y3*y4*y5*y6*y7 + y3*y4*y5*y6*y7
+ y4*y5*y6*y7*y1 + y5*y6*y7*y1*y2 + y6*y7*y1*y2*y3 + y7*y1*y2*y3*y4;
y1*y2*y3*y4*y5*y6 + y1*y2*y3*y4*y5*y6*y7 + y2*y3*y4*y5*y6*y7
+ y3*y4*y5*y6*y7*y1 + y4*y5*y6*y7*y1*y2 + y5*y6*y7*y1*y2*y3
+ y6*y7*y1*y2*y3*y4 + y7*y1*y2*y3*y4*y5;
z0**8*y1*y2*y3*y4*y5*y6*y7 - 1;
TITLE : reduced cyclic 8-roots problem
ROOT COUNTS :
total degree : 5040
4-homogeneous Bezout number : 3960
with partition : {y1 y5 }{y2 y6 }{y3 y7 }{y4 }
generalized Bezout number : 3107
based on the set structure :
{y1 y2 y3 y4 y5 y6 y7 }
{y1 y3 y5 y7 }{y2 y4 y6 }
{y1 y4 y7 }{y2 y5 y7 }{y3 y6 }
{y1 y5 }{y2 y6 }{y3 y7 }{y4 }
{y1 y6 }{y2 y7 }{y3 y6 }{y4 y7 }{y5 }
{y1 y7 }{y2 }{y3 y7 }{y4 }{y5 y7 }{y6 }
{y1 }{y2 }{y3 }{y4 }{y5 }{y6 }{y7 }
mixed volume : 320
REFERENCES :
See Ioannis Z. Emiris:
`Sparse Elimination and Application in Kinematics'
PhD Thesis, Computer Science, University of California at Berkeley, 1994,
page 25.
yi = zi/z0, from cyclic8
This reduced the dimension of the problem by 1
and the mixed volume drops with 8.
NOTE :
Besides a curve of degree 18, which breaks up in two lines and
two curves of degree 8, there are 72 isolated generating solutions,
which are below.
THE GENERATING SOLUTIONS :
72 7
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 6.18338726465555E-01 7.85911712187161E-01
y2 : -2.35314438705911E-01 9.71919294456346E-01
y3 : 1.94170403372279E-01 -9.80967815197954E-01
y4 : 8.05623546378239E-01 -5.92427802791994E-01
y5 : -6.18338726465555E-01 -7.85911712187161E-01
y6 : -7.65366864730179E-01 6.43594252905583E-01
y7 : -9.99112646314427E-01 -4.21179293719811E-02
== err : 5.331E-15 = rco : 2.006E-02 = res : 3.456E-15 ==
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 6.01364342340025E-01 0.00000000000000E+00
y2 : -2.93985090992536E-01 -8.84736460689817E-85
y3 : -1.33039971895121E+00 -8.75084790209565E-84
y4 : -6.02058902446318E+00 2.16197418757657E-83
y5 : 2.94324636093021E+00 4.11804607157442E-84
y6 : 1.76996341218547E+00 3.34591243315422E-84
y7 : 1.33039971895122E+00 -1.80164515631381E-83
== err : 2.027E-14 = rco : 4.405E-03 = res : 4.530E-14 ==
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -4.88863522982728E-01 -1.48434147040686E-78
y2 : -2.93985090992536E-01 -9.00845267191760E-79
y3 : -2.20975009844629E-01 8.09640802040104E-79
y4 : -1.66096705145750E-01 2.53012750637533E-79
y5 : -9.98846358548192E-02 6.74700668366753E-80
y6 : 4.88299549758338E-02 2.69880267346701E-79
y7 : 2.20975009844629E-01 9.44580935713455E-79
== err : 9.856E-16 = rco : 1.650E-04 = res : 2.804E-16 ==
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.77777777777778E-01 -6.28539361054709E-01
y2 : 3.33333333333333E-01 9.42809041582064E-01
y3 : -3.33333333333334E-01 -9.42809041582063E-01
y4 : -3.33333333333333E-01 -9.42809041582064E-01
y5 : -1.00000000000000E+00 7.32800119382170E-17
y6 : 3.33333333333334E-01 9.42809041582064E-01
y7 : -7.77777777777778E-01 6.28539361054709E-01
== err : 7.218E-15 = rco : 1.340E-02 = res : 3.428E-15 ==
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.00000000000000E+00 3.35593758159523E-16
y2 : -8.25615246470455E-01 5.64233519737644E-01
y3 : 4.14213562373095E-01 -9.10179721124455E-01
y4 : -1.71572875253810E-01 -9.85171431009416E-01
y5 : 1.71572875253810E-01 9.85171431009416E-01
y6 : -4.14213562373095E-01 9.10179721124455E-01
y7 : 8.25615246470455E-01 -5.64233519737644E-01
== err : 2.522E-15 = rco : 7.120E-02 = res : 2.861E-15 ==
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 9.42809041582063E-01
y2 : -1.00000000000000E+00 -2.86840648899224E-17
y3 : -1.00000000000000E+00 -9.80399689771479E-17
y4 : 1.00000000000000E+00 3.85829321583270E-17
y5 : -3.33333333333333E-01 -9.42809041582063E-01
y6 : 3.33333333333333E-01 -9.42809041582063E-01
y7 : 3.33333333333333E-01 9.42809041582063E-01
== err : 3.494E-15 = rco : 2.506E-02 = res : 3.516E-15 ==
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -4.10845648789718E-01 -9.11704915458152E-01
y2 : 7.65366864730179E-01 6.43594252905583E-01
y3 : 1.94170403372279E-01 9.80967815197954E-01
y4 : -4.62477795870619E-01 8.86630863621752E-01
y5 : 3.25522888386496E-02 -9.99470033813603E-01
y6 : -9.24595708908493E-01 3.80949832744420E-01
y7 : -1.94170403372279E-01 -9.80967815197954E-01
== err : 4.280E-15 = rco : 4.903E-02 = res : 2.713E-15 ==
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 3.33333333333333E-01 9.42809041582063E-01
y2 : -1.00000000000000E+00 -9.55043424119628E-17
y3 : -3.33333333333333E-01 9.42809041582063E-01
y4 : -3.33333333333334E-01 -9.42809041582063E-01
y5 : 3.33333333333333E-01 -9.42809041582063E-01
y6 : -1.00000000000000E+00 3.48487107704213E-16
y7 : 1.00000000000000E+00 -2.74442013063903E-16
== err : 3.415E-15 = rco : 2.922E-02 = res : 2.658E-15 ==
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00115497387755E+01 7.95909294037504E-74
y2 : -7.50786657814093E-02 -8.29072181289067E-76
y3 : 2.94324636093022E+00 6.13513414153909E-74
y4 : -1.00000000000000E+00 -1.54760140507292E-74
y5 : 3.39760888953906E-01 -5.52714787526044E-75
y6 : -1.33193629587330E+01 -1.59181858807501E-73
y7 : 9.98846358548192E-02 5.52714787526044E-76
== err : 3.491E-14 = rco : 1.147E-03 = res : 4.163E-15 ==
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -9.01215690036859E-01 4.33370834310971E-01
y2 : 7.65366864730179E-01 6.43594252905583E-01
y3 : -7.79956840999184E-01 6.25833305424515E-01
y4 : -4.62477795870619E-01 -8.86630863621752E-01
y5 : -6.18338726465555E-01 7.85911712187161E-01
y6 : 2.16665347642854E-01 -9.76245935781963E-01
y7 : 7.79956840999184E-01 -6.25833305424514E-01
== err : 6.333E-15 = rco : 4.430E-02 = res : 3.145E-15 ==
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 3.98566257150641E-01 -3.45446742203778E-76
y2 : 2.16845335437475E-01 -5.18170113305667E-76
y3 : 8.64272337258898E-02 -1.51996566569662E-75
y4 : -8.64272337258898E-02 7.59982832848311E-76
y5 : -2.16845335437475E-01 8.63616855509444E-78
y6 : -3.98566257150641E-01 1.68405286824342E-76
y7 : -1.00000000000000E+00 1.41633164303549E-75
== err : 1.056E-15 = rco : 6.350E-04 = res : 1.456E-17 ==
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 9.42809041582063E-01
y2 : 3.33333333333333E-01 -9.42809041582063E-01
y3 : 3.33333333333333E-01 -9.42809041582063E-01
y4 : -7.77777777777778E-01 -6.28539361054709E-01
y5 : -3.33333333333333E-01 9.42809041582063E-01
y6 : -1.00000000000000E+00 1.70178596392565E-16
y7 : 7.77777777777778E-01 6.28539361054709E-01
== err : 3.591E-15 = rco : 2.850E-02 = res : 2.442E-15 ==
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.79956840999185E-01 6.25833305424514E-01
y2 : -9.74127244371464E-01 -2.26000247285836E-01
y3 : 1.94170403372280E-01 9.80967815197954E-01
y4 : -1.00000000000000E+00 9.90647208442634E-16
y5 : 1.94170403372279E-01 -9.80967815197954E-01
y6 : -9.74127244371464E-01 2.26000247285836E-01
y7 : 7.79956840999184E-01 -6.25833305424515E-01
== err : 5.129E-15 = rco : 4.027E-02 = res : 3.486E-15 ==
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -2.55087942273649E-02 5.31751793762549E-64
y2 : 7.50786657814093E-02 -6.07716335728627E-63
y3 : -2.20975009844629E-01 6.07716335728627E-64
y4 : 5.63680605551656E-03 -6.83680877694706E-64
y5 : -7.51653796791481E-01 0.00000000000000E+00
y6 : -7.50786657814093E-02 5.46944702155764E-63
y7 : -7.49920519204174E-03 7.59645419660784E-64
== err : 2.919E-16 = rco : 4.868E-07 = res : 2.461E-17 ==
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 -9.42809041582063E-01
y2 : 7.77777777777778E-01 -6.28539361054709E-01
y3 : -1.00000000000000E+00 -4.16570303424233E-16
y4 : -7.77777777777777E-01 6.28539361054709E-01
y5 : -3.33333333333333E-01 -9.42809041582063E-01
y6 : 3.33333333333333E-01 9.42809041582064E-01
y7 : 3.33333333333334E-01 9.42809041582063E-01
== err : 4.496E-15 = rco : 3.450E-02 = res : 3.747E-15 ==
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 6.30138195617764E-01 -7.76483003306311E-01
y2 : -4.14213562373095E-01 9.10179721124455E-01
y3 : 4.14213562373095E-01 -9.10179721124455E-01
y4 : -6.30138195617764E-01 7.76483003306311E-01
y5 : -1.00000000000000E+00 6.39383885493096E-17
y6 : 9.67750870201405E-01 2.51909216235576E-01
y7 : -9.67750870201405E-01 -2.51909216235576E-01
== err : 3.341E-15 = rco : 9.714E-02 = res : 2.156E-15 ==
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.79956840999184E-01 6.25833305424514E-01
y2 : 2.16665347642854E-01 9.76245935781963E-01
y3 : -6.18338726465555E-01 -7.85911712187162E-01
y4 : -4.62477795870619E-01 8.86630863621752E-01
y5 : -7.79956840999184E-01 -6.25833305424514E-01
y6 : 7.65366864730180E-01 -6.43594252905583E-01
y7 : -9.01215690036859E-01 -4.33370834310972E-01
== err : 4.678E-15 = rco : 4.184E-02 = res : 2.866E-15 ==
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.37580856333855E-01 6.75258824725613E-01
y2 : 6.50891015304204E-01 -7.59171183723580E-01
y3 : -7.79956840999184E-01 -6.25833305424514E-01
y4 : -1.52681772392524E-01 -9.88275405127072E-01
y5 : 1.94170403372279E-01 9.80967815197954E-01
y6 : -6.50891015304204E-01 7.59171183723580E-01
y7 : -9.99112646314427E-01 -4.21179293719813E-02
== err : 4.294E-15 = rco : 3.431E-02 = res : 3.636E-15 ==
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.25522888386500E-02 -9.99470033813603E-01
y2 : 6.50891015304205E-01 -7.59171183723580E-01
y3 : -6.18338726465555E-01 7.85911712187161E-01
y4 : -1.00000000000000E+00 6.53838795173665E-16
y5 : -6.18338726465554E-01 -7.85911712187162E-01
y6 : 6.50891015304204E-01 7.59171183723580E-01
y7 : -3.25522888386495E-02 9.99470033813603E-01
== err : 6.174E-15 = rco : 4.712E-02 = res : 3.310E-15 ==
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -9.99112646314427E-01 4.21179293719809E-02
y2 : -7.65366864730179E-01 -6.43594252905583E-01
y3 : -6.18338726465555E-01 7.85911712187161E-01
y4 : 8.05623546378239E-01 5.92427802791995E-01
y5 : 1.94170403372279E-01 9.80967815197954E-01
y6 : -2.35314438705912E-01 -9.71919294456346E-01
y7 : 6.18338726465556E-01 -7.85911712187161E-01
== err : 5.201E-15 = rco : 2.371E-02 = res : 3.213E-15 ==
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -9.99112646314426E-01 4.21179293719807E-02
y2 : -6.50891015304205E-01 -7.59171183723580E-01
y3 : 1.94170403372279E-01 -9.80967815197953E-01
y4 : -1.52681772392524E-01 9.88275405127072E-01
y5 : -7.79956840999184E-01 6.25833305424514E-01
y6 : 6.50891015304205E-01 7.59171183723580E-01
y7 : 7.37580856333855E-01 -6.75258824725614E-01
== err : 3.930E-15 = rco : 3.246E-02 = res : 4.101E-15 ==
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 -1.91230513095153E-16
y2 : 3.33333333333333E-01 -9.42809041582063E-01
y3 : -1.00000000000000E+00 1.48974107513105E-16
y4 : -3.33333333333333E-01 -9.42809041582063E-01
y5 : -3.33333333333334E-01 9.42809041582063E-01
y6 : 3.33333333333333E-01 9.42809041582063E-01
y7 : -1.00000000000000E+00 -2.00923319705863E-17
== err : 3.592E-15 = rco : 3.067E-02 = res : 2.213E-15 ==
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 -1.09963693622669E-88
y2 : 1.00000000000000E+00 0.00000000000000E+00
y3 : -5.82842712474619E+00 1.00538234169297E-87
y4 : -1.71572875253810E-01 -8.64000449892400E-89
y5 : 1.00000000000000E+00 -2.82763783601149E-88
y6 : 1.00000000000000E+00 -1.64945540434004E-88
y7 : 1.00000000000000E+00 -2.82763783601149E-88
== err : 1.987E-15 = rco : 5.254E-03 = res : 4.441E-15 ==
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -9.67750870201405E-01 2.51909216235576E-01
y2 : -4.14213562373095E-01 9.10179721124455E-01
y3 : 1.71572875253810E-01 -9.85171431009416E-01
y4 : -1.71572875253810E-01 9.85171431009416E-01
y5 : 4.14213562373095E-01 -9.10179721124454E-01
y6 : 9.67750870201405E-01 -2.51909216235576E-01
y7 : -1.00000000000000E+00 -1.27392375090904E-16
== err : 2.943E-15 = rco : 9.669E-02 = res : 4.552E-15 ==
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.33347464750160E+02 -1.93033409605051E-83
y2 : -1.33193629587330E+01 -2.88745808534222E-84
y3 : -1.33039971895121E+00 1.26678175053315E-85
y4 : 1.77405429626469E+02 3.80919261620634E-83
y5 : -4.52539859915886E+00 -1.80968821504735E-85
y6 : 1.33193629587330E+01 6.75616933617679E-85
y7 : -3.92021665581997E+01 -7.56047520953117E-84
== err : 8.314E-13 = rco : 6.908E-10 = res : 1.289E-07 ==
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 -8.43375835458442E-81
y2 : 1.00000000000000E+00 1.26506375318766E-80
y3 : 1.00000000000000E+00 -1.26506375318766E-80
y4 : 1.00000000000000E+00 -2.00960648292832E-81
y5 : -1.71572875253810E-01 -5.92998634306717E-82
y6 : -5.82842712474619E+00 2.10843958864610E-80
y7 : 1.00000000000000E+00 -4.48043412587297E-81
== err : 1.072E-15 = rco : 7.337E-03 = res : 2.220E-15 ==
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.83802089330883E+00 9.97159610138601E-92
y2 : 4.61158178930872E+00 3.06818341581108E-92
y3 : -4.61158178930872E+00 3.83522926976385E-92
y4 : -1.83802089330883E+00 2.08540591543409E-92
y5 : -1.00000000000000E+00 9.58807317440962E-93
y6 : -3.98566257150641E-01 -4.21875219674023E-92
y7 : 3.98566257150641E-01 -2.68466048883469E-92
== err : 1.621E-14 = rco : 4.379E-03 = res : 9.104E-15 ==
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 3.39705627484771E+01 1.60861174670876E-86
y2 : -5.82842712474619E+00 6.40931242829271E-87
y3 : -5.82842712474619E+00 4.02152936677190E-87
y4 : -5.82842712474619E+00 3.51883819592541E-87
y5 : -5.82842712474619E+00 -2.26211026880919E-87
y6 : -5.82842712474619E+00 2.63912864694406E-87
y7 : -5.82842712474619E+00 6.28363963558109E-88
== err : 5.134E-14 = rco : 1.052E-05 = res : 1.042E-10 ==
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 -6.90893484407556E-77
y2 : 1.00000000000000E+00 -5.18170113305667E-77
y3 : 1.00000000000000E+00 -6.90893484407556E-77
y4 : 1.00000000000000E+00 -2.07268045322267E-76
y5 : 1.00000000000000E+00 -1.72723371101889E-76
y6 : -1.71572875253810E-01 -6.04531798856611E-77
y7 : -5.82842712474619E+00 5.52714787526044E-76
== err : 1.206E-15 = rco : 4.967E-03 = res : 4.219E-15 ==
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 4.52539859915887E+00 -1.40816046605976E-97
y2 : 2.04792324812690E+01 3.21865249385089E-97
y3 : -1.00115497387755E+01 -4.97428112686046E-97
y4 : -6.02058902446318E+00 2.19453579126197E-97
y5 : -4.52539859915886E+00 -1.03326060171918E-97
y6 : -3.40153303905261E+00 -5.48633947815492E-98
y7 : -2.04556067897774E+00 -1.09726789563098E-98
== err : 4.250E-14 = rco : 1.478E-05 = res : 1.558E-11 ==
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -7.77777777777778E-01 6.28539361054709E-01
y2 : -1.00000000000000E+00 -1.46775093628415E-16
y3 : 3.33333333333333E-01 9.42809041582063E-01
y4 : -3.33333333333333E-01 -9.42809041582063E-01
y5 : -3.33333333333333E-01 -9.42809041582063E-01
y6 : 7.77777777777778E-01 -6.28539361054709E-01
y7 : 3.33333333333333E-01 9.42809041582063E-01
== err : 4.628E-15 = rco : 4.315E-02 = res : 3.191E-15 ==
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.94170403372279E-01 9.80967815197954E-01
y2 : -9.24595708908493E-01 -3.80949832744420E-01
y3 : 3.25522888386493E-02 9.99470033813603E-01
y4 : -4.62477795870619E-01 -8.86630863621752E-01
y5 : 1.94170403372280E-01 -9.80967815197953E-01
y6 : 7.65366864730180E-01 -6.43594252905583E-01
y7 : -4.10845648789718E-01 9.11704915458152E-01
== err : 3.619E-15 = rco : 5.278E-02 = res : 3.664E-15 ==
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 2.50899312738871E+00 1.03634022661133E-76
y2 : 4.61158178930871E+00 -1.03634022661133E-75
y3 : 1.15704270157665E+01 -2.07268045322267E-75
y4 : -1.15704270157665E+01 2.21085915010418E-75
y5 : -4.61158178930871E+00 1.31269762037436E-75
y6 : -2.50899312738871E+00 -2.41812719542644E-76
y7 : -1.00000000000000E+00 -1.51132949714153E-77
== err : 3.616E-14 = rco : 5.342E-05 = res : 8.133E-12 ==
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 -2.54690974092001E-72
y2 : 1.00000000000000E+00 -2.54690974092001E-72
y3 : -1.71572875253810E-01 -7.78222420836671E-73
y4 : -5.82842712474619E+00 1.13195988485334E-71
y5 : 1.00000000000000E+00 -2.82989971213335E-73
y6 : 1.00000000000000E+00 -1.41494985606667E-73
y7 : 1.00000000000000E+00 -2.54690974092001E-72
== err : 1.955E-15 = rco : 5.587E-03 = res : 2.442E-15 ==
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.37580856333855E-01 -6.75258824725613E-01
y2 : -7.65366864730179E-01 6.43594252905583E-01
y3 : 3.25522888386498E-02 9.99470033813603E-01
y4 : 8.05623546378239E-01 5.92427802791994E-01
y5 : -7.79956840999184E-01 -6.25833305424514E-01
y6 : -9.97880696982730E-01 6.50700744525510E-02
y7 : -3.25522888386498E-02 -9.99470033813603E-01
== err : 3.454E-15 = rco : 3.058E-02 = res : 3.222E-15 ==
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.00000000000000E+00 -1.27326898805579E-17
y2 : 3.33333333333333E-01 -9.42809041582064E-01
y3 : -3.33333333333333E-01 -9.42809041582063E-01
y4 : -3.33333333333333E-01 9.42809041582063E-01
y5 : -1.00000000000000E+00 5.60481118805840E-17
y6 : 3.33333333333333E-01 9.42809041582063E-01
y7 : 1.00000000000000E+00 -1.22423212067633E-16
== err : 3.675E-15 = rco : 3.447E-02 = res : 3.806E-15 ==
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 8.25615246470455E-01 5.64233519737644E-01
y2 : -8.25615246470455E-01 -5.64233519737644E-01
y3 : -1.00000000000000E+00 -6.28862180603177E-17
y4 : 8.55534940033946E-01 -5.17745078567737E-01
y5 : 4.14213562373095E-01 -9.10179721124455E-01
y6 : -4.14213562373095E-01 9.10179721124455E-01
y7 : -8.55534940033946E-01 5.17745078567737E-01
== err : 2.470E-15 = rco : 1.594E-01 = res : 3.032E-15 ==
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 3.33333333333333E-01 -9.42809041582063E-01
y2 : 3.33333333333333E-01 9.42809041582064E-01
y3 : -3.33333333333333E-01 9.42809041582063E-01
y4 : 1.00000000000000E+00 -1.89371844759700E-17
y5 : -1.00000000000000E+00 -6.62301587309582E-17
y6 : -1.00000000000000E+00 -4.00510121905543E-19
y7 : -3.33333333333333E-01 -9.42809041582063E-01
== err : 3.440E-15 = rco : 2.937E-02 = res : 1.564E-15 ==
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 4.52539859915887E+00 -2.07268045322267E-76
y2 : -2.21230230208591E+00 -2.24540382432456E-76
y3 : -1.33039971895121E+00 -2.41812719542644E-76
y4 : -1.00000000000000E+00 3.79991416424156E-76
y5 : -7.51653796791481E-01 2.41812719542644E-76
y6 : -4.52017791174892E-01 8.63616855509444E-77
y7 : 2.20975009844629E-01 1.12270191216228E-76
== err : 1.340E-14 = rco : 2.630E-02 = res : 3.053E-15 ==
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 -9.42809041582064E-01
y2 : 3.33333333333333E-01 -9.42809041582063E-01
y3 : 3.33333333333333E-01 9.42809041582063E-01
y4 : 1.00000000000000E+00 -4.60254542820606E-17
y5 : -3.33333333333333E-01 9.42809041582063E-01
y6 : -1.00000000000000E+00 -1.14877936456444E-16
y7 : -1.00000000000000E+00 5.96251688684052E-17
== err : 3.633E-15 = rco : 3.925E-02 = res : 3.445E-15 ==
solution 41 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 2.37199453722687E-81
y2 : 1.00000000000000E+00 1.71310716577496E-81
y3 : 1.00000000000000E+00 0.00000000000000E+00
y4 : 1.00000000000000E+00 3.95332422871145E-82
y5 : 1.00000000000000E+00 5.27109897161526E-82
y6 : -5.82842712474619E+00 -5.27109897161526E-81
y7 : -1.71572875253810E-01 5.27109897161526E-82
== err : 9.381E-16 = rco : 5.847E-03 = res : 3.997E-15 ==
solution 42 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 1.93211574665367E-17
y2 : -1.00000000000000E+00 6.45671241865977E-17
y3 : 3.33333333333333E-01 9.42809041582063E-01
y4 : -3.33333333333333E-01 9.42809041582064E-01
y5 : -3.33333333333333E-01 -9.42809041582064E-01
y6 : -1.00000000000000E+00 -6.15450961857810E-19
y7 : 3.33333333333333E-01 -9.42809041582064E-01
== err : 3.723E-15 = rco : 2.435E-02 = res : 3.591E-15 ==
solution 43 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.39760888953906E-01 3.30603327499709E-78
y2 : 1.33193629587330E+01 -4.96579691917931E-77
y3 : -9.98846358548192E-02 -5.90363084820909E-79
y4 : -1.00000000000000E+00 2.42892240612031E-78
y5 : -1.00115497387755E+01 2.59085056652833E-77
y6 : 7.50786657814093E-02 -1.77108925446273E-79
y7 : -2.94324636093021E+00 1.61928160408021E-77
== err : 3.444E-14 = rco : 8.808E-04 = res : 9.603E-15 ==
solution 44 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 4.06397269840746E-03 -1.81751101383684E-66
y2 : 2.16845335437475E-01 -1.21661961742547E-65
y3 : -2.16845335437475E-01 6.05342443792187E-65
y4 : -4.06397269840746E-03 8.90209476164981E-67
y5 : -1.00000000000000E+00 -4.98517306652389E-65
y6 : -1.87413424882236E-02 7.64096467041609E-66
y7 : 1.87413424882236E-02 -5.10015845719520E-66
== err : 4.220E-16 = rco : 5.537E-08 = res : 4.510E-17 ==
solution 45 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -7.49920519204174E-03 8.75111523449223E-62
y2 : 2.93985090992536E-01 1.90579842884497E-60
y3 : -9.98846358548192E-02 1.45851920574871E-62
y4 : 3.39368926708706E-02 -4.57002684467928E-61
y5 : -1.33039971895121E+00 -1.38559324546127E-60
y6 : 9.97694047984983E-03 -1.58006247289443E-62
y7 : 9.98846358548192E-02 -1.36128459203212E-61
== err : 4.905E-15 = rco : 2.524E-06 = res : 3.967E-17 ==
solution 46 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 -9.42809041582063E-01
y2 : 3.33333333333333E-01 9.42809041582063E-01
y3 : 3.33333333333333E-01 9.42809041582063E-01
y4 : -7.77777777777778E-01 6.28539361054709E-01
y5 : -3.33333333333333E-01 -9.42809041582063E-01
y6 : -1.00000000000000E+00 -2.98340634499033E-16
y7 : 7.77777777777778E-01 -6.28539361054708E-01
== err : 3.930E-15 = rco : 2.659E-02 = res : 4.302E-15 ==
solution 47 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 9.42809041582063E-01
y2 : 7.77777777777778E-01 6.28539361054709E-01
y3 : -1.00000000000000E+00 -1.54193082612465E-16
y4 : -7.77777777777778E-01 -6.28539361054709E-01
y5 : -3.33333333333333E-01 9.42809041582063E-01
y6 : 3.33333333333333E-01 -9.42809041582063E-01
y7 : 3.33333333333333E-01 -9.42809041582063E-01
== err : 5.672E-15 = rco : 3.589E-02 = res : 3.109E-15 ==
solution 48 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.37580856333855E-01 6.75258824725613E-01
y2 : -7.65366864730180E-01 -6.43594252905582E-01
y3 : 3.25522888386499E-02 -9.99470033813603E-01
y4 : 8.05623546378239E-01 -5.92427802791994E-01
y5 : -7.79956840999184E-01 6.25833305424514E-01
y6 : -9.97880696982730E-01 -6.50700744525510E-02
y7 : -3.25522888386496E-02 9.99470033813603E-01
== err : 3.809E-15 = rco : 3.058E-02 = res : 3.160E-15 ==
solution 49 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -3.33333333333333E-01 9.42809041582063E-01
y2 : 3.33333333333333E-01 9.42809041582063E-01
y3 : 3.33333333333333E-01 -9.42809041582063E-01
y4 : 1.00000000000000E+00 1.15928486422482E-16
y5 : -3.33333333333333E-01 -9.42809041582063E-01
y6 : -1.00000000000000E+00 -8.93172876736422E-20
y7 : -1.00000000000000E+00 -5.50220215723381E-17
== err : 3.715E-15 = rco : 3.764E-02 = res : 2.289E-15 ==
solution 50 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -7.77777777777777E-01 -6.28539361054708E-01
y2 : 3.33333333333333E-01 -9.42809041582062E-01
y3 : -9.99999999999999E-01 -4.66769390484760E-17
y4 : -3.33333333333333E-01 9.42809041582062E-01
y5 : -3.33333333333333E-01 9.42809041582063E-01
y6 : 3.33333333333333E-01 -9.42809041582063E-01
y7 : 7.77777777777777E-01 6.28539361054708E-01
== err : 1.136E-14 = rco : 1.569E-02 = res : 3.275E-15 ==
solution 51 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -4.88863522982728E-01 -5.63014111348066E-86
y2 : -2.21230230208591E+00 -1.22254492749866E-84
y3 : -1.00115497387755E+01 -6.11272463749328E-84
y4 : 4.89428147581460E+00 1.93033409605051E-84
y5 : 2.94324636093022E+00 1.63274092290939E-84
y6 : 2.21230230208591E+00 1.18635116319771E-84
y7 : 1.66288542501341E+00 1.60861174670876E-84
== err : 2.519E-14 = rco : 2.268E-04 = res : 5.601E-14 ==
solution 52 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 7.51653796791481E-01 1.60241408737104E-79
y2 : 5.64983430231049E-01 1.18072616964182E-79
y3 : 3.39760888953906E-01 -4.00603521842760E-80
y4 : -1.66096705145750E-01 -1.26506375318766E-80
y5 : -7.51653796791481E-01 -7.16869460139676E-80
y6 : -3.40153303905261E+00 -6.07230601530078E-79
y7 : 1.66288542501341E+00 4.04820401020052E-79
== err : 6.018E-15 = rco : 4.945E-02 = res : 2.998E-15 ==
solution 53 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -2.04556067897774E+00 -2.95181542410455E-79
y2 : -4.52017791174892E-01 -8.17020340600366E-81
y3 : -9.98846358548192E-02 2.84639344467224E-80
y4 : 2.04320083538628E-01 1.13855737786890E-79
y5 : 3.39760888953906E-01 6.74700668366753E-80
y6 : 4.52017791174892E-01 4.74398907445374E-80
y7 : 6.01364342340025E-01 4.32230115672451E-80
== err : 2.536E-15 = rco : 3.707E-03 = res : 3.046E-16 ==
solution 54 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -8.55534940033946E-01 -5.17745078567737E-01
y2 : -4.14213562373095E-01 -9.10179721124455E-01
y3 : 4.14213562373095E-01 9.10179721124455E-01
y4 : 8.55534940033946E-01 5.17745078567737E-01
y5 : -1.00000000000000E+00 1.14039180893660E-16
y6 : -8.25615246470455E-01 5.64233519737644E-01
y7 : 8.25615246470455E-01 -5.64233519737644E-01
== err : 2.416E-15 = rco : 8.554E-02 = res : 2.623E-15 ==
solution 55 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.71572875253810E-01 2.89781730522455E-70
y2 : -1.71572875253810E-01 -6.33897535517870E-71
y3 : -1.71572875253810E-01 -5.88619140123736E-71
y4 : -1.71572875253810E-01 2.89781730522455E-70
y5 : -1.71572875253810E-01 9.41790624197978E-70
y6 : -1.71572875253810E-01 -1.15912692208982E-69
y7 : 2.94372515228594E-02 -1.08668148945921E-70
== err : 3.886E-16 = rco : 4.710E-05 = res : 2.539E-16 ==
solution 56 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.87413424882236E-02 -8.80936460788263E-68
y2 : 4.61158178930871E+00 2.37389193643995E-65
y3 : 8.64272337258898E-02 -8.90209476164981E-67
y4 : -8.64272337258898E-02 2.96736492054994E-67
y5 : -4.61158178930871E+00 -2.37389193643995E-65
y6 : -1.87413424882236E-02 5.56380922603113E-68
y7 : -1.00000000000000E+00 2.40165204079347E-66
== err : 9.675E-15 = rco : 3.728E-05 = res : 4.228E-16 ==
solution 57 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.00000000000000E+00 -3.52853558230228E-82
y2 : -1.71572875253810E-01 -6.17706910736163E-83
y3 : -5.82842712474619E+00 9.22442320032671E-82
y4 : 1.00000000000000E+00 -3.25056278768812E-83
y5 : 1.00000000000000E+00 -1.31777474290382E-82
y6 : 1.00000000000000E+00 -6.58887371451908E-83
y7 : 1.00000000000000E+00 -3.25990290892489E-82
== err : 1.241E-15 = rco : 6.129E-03 = res : 2.220E-15 ==
solution 58 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -7.77777777777778E-01 -6.28539361054708E-01
y2 : -1.00000000000000E+00 -6.17429605628421E-16
y3 : 3.33333333333333E-01 -9.42809041582063E-01
y4 : -3.33333333333333E-01 9.42809041582063E-01
y5 : -3.33333333333334E-01 9.42809041582063E-01
y6 : 7.77777777777778E-01 6.28539361054709E-01
y7 : 3.33333333333334E-01 -9.42809041582063E-01
== err : 4.864E-15 = rco : 4.315E-02 = res : 2.149E-15 ==
solution 59 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -2.55087942273649E-02 -1.56530555061087E-77
y2 : 3.40153303905261E+00 5.69987124636233E-76
y3 : 3.39760888953906E-01 8.63616855509444E-77
y4 : 3.39368926708706E-02 -1.61928160408021E-78
y5 : -4.52539859915886E+00 -7.25438158627933E-76
y6 : 1.15437461662749E-01 6.47712641632083E-77
y7 : -3.39760888953906E-01 2.59085056652833E-77
== err : 5.624E-15 = rco : 3.454E-04 = res : 3.289E-16 ==
solution 60 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -9.67750870201405E-01 -2.51909216235576E-01
y2 : -4.14213562373095E-01 -9.10179721124455E-01
y3 : 1.71572875253810E-01 9.85171431009416E-01
y4 : -1.71572875253810E-01 -9.85171431009416E-01
y5 : 4.14213562373095E-01 9.10179721124455E-01
y6 : 9.67750870201405E-01 2.51909216235576E-01
y7 : -1.00000000000000E+00 7.05508565975481E-17
== err : 2.759E-15 = rco : 9.669E-02 = res : 3.698E-15 ==
solution 61 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 1.33039971895121E+00 2.87642195232289E-93
y2 : 2.21230230208591E+00 2.03746554956204E-93
y3 : -4.52539859915886E+00 -3.83522926976385E-93
y4 : -1.00000000000000E+00 -7.49068216750752E-94
y5 : -2.20975009844629E-01 -4.49440930050451E-95
y6 : 4.52017791174892E-01 -1.19850914680120E-94
y7 : 7.51653796791481E-01 3.10068749899194E-95
== err : 1.357E-14 = rco : 2.650E-02 = res : 6.550E-15 ==
solution 62 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -9.01215690036860E-01 -4.33370834310972E-01
y2 : -9.74127244371464E-01 2.26000247285836E-01
y3 : -6.18338726465555E-01 7.85911712187162E-01
y4 : 8.97847776453482E-01 -4.40305996231641E-01
y5 : 3.25522888386498E-02 9.99470033813604E-01
y6 : 9.74127244371464E-01 -2.26000247285836E-01
y7 : -4.10845648789718E-01 -9.11704915458152E-01
== err : 2.973E-15 = rco : 3.046E-02 = res : 3.872E-15 ==
solution 63 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.94170403372279E-01 9.80967815197954E-01
y2 : 9.74127244371463E-01 -2.26000247285837E-01
y3 : -7.79956840999184E-01 6.25833305424514E-01
y4 : -1.00000000000000E+00 1.17829924760421E-15
y5 : -7.79956840999184E-01 -6.25833305424514E-01
y6 : 9.74127244371464E-01 2.26000247285835E-01
y7 : -1.94170403372280E-01 -9.80967815197953E-01
== err : 5.469E-15 = rco : 2.289E-02 = res : 4.172E-15 ==
solution 64 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.00000000000000E+00 -3.32403263051209E-16
y2 : -8.25615246470455E-01 -5.64233519737644E-01
y3 : 4.14213562373095E-01 9.10179721124455E-01
y4 : -1.71572875253810E-01 9.85171431009416E-01
y5 : 1.71572875253810E-01 -9.85171431009416E-01
y6 : -4.14213562373095E-01 -9.10179721124455E-01
y7 : 8.25615246470455E-01 5.64233519737644E-01
== err : 2.526E-15 = rco : 7.120E-02 = res : 2.858E-15 ==
solution 65 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 2.50899312738871E+00 2.59085056652833E-77
y2 : -2.50899312738871E+00 -1.07952106938681E-78
y3 : -1.00000000000000E+00 -5.26266521326068E-78
y4 : -5.44063456318924E-01 -4.31808427754722E-78
y5 : -2.16845335437475E-01 1.30797517707827E-78
y6 : 2.16845335437475E-01 7.42170735203429E-79
y7 : 5.44063456318924E-01 -1.07952106938681E-77
== err : 3.202E-15 = rco : 4.278E-02 = res : 7.737E-16 ==
solution 66 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 6.30138195617764E-01 7.76483003306311E-01
y2 : -4.14213562373095E-01 -9.10179721124455E-01
y3 : 4.14213562373095E-01 9.10179721124455E-01
y4 : -6.30138195617764E-01 -7.76483003306311E-01
y5 : -1.00000000000000E+00 -1.35743231633310E-16
y6 : 9.67750870201406E-01 -2.51909216235576E-01
y7 : -9.67750870201406E-01 2.51909216235577E-01
== err : 3.397E-15 = rco : 9.714E-02 = res : 2.764E-15 ==
solution 67 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 6.18338726465555E-01 -7.85911712187161E-01
y2 : -6.50891015304204E-01 7.59171183723580E-01
y3 : 3.25522888386497E-02 9.99470033813603E-01
y4 : -1.00000000000000E+00 -1.49665037021641E-16
y5 : 3.25522888386498E-02 -9.99470033813603E-01
y6 : -6.50891015304204E-01 -7.59171183723580E-01
y7 : 6.18338726465554E-01 7.85911712187161E-01
== err : 3.134E-15 = rco : 2.072E-02 = res : 1.642E-15 ==
solution 68 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -4.10845648789718E-01 9.11704915458152E-01
y2 : 9.74127244371464E-01 2.26000247285836E-01
y3 : 3.25522888386497E-02 -9.99470033813603E-01
y4 : 8.97847776453482E-01 4.40305996231641E-01
y5 : -6.18338726465555E-01 -7.85911712187162E-01
y6 : -9.74127244371464E-01 -2.26000247285836E-01
y7 : -9.01215690036860E-01 4.33370834310972E-01
== err : 5.513E-15 = rco : 3.245E-02 = res : 3.386E-15 ==
solution 69 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -2.94324636093022E+00 -2.02410200510026E-78
y2 : 8.66269914112896E+00 6.76387420037670E-78
y3 : -2.20975009844629E-01 2.10843958864610E-80
y4 : 2.94664573359228E+01 1.79470377785556E-77
y5 : 2.94324636093022E+00 1.28193126989683E-78
y6 : 2.93985090992536E-01 1.77108925446273E-79
y7 : -3.92021665581997E+01 -2.42892240612031E-77
== err : 5.240E-14 = rco : 3.253E-06 = res : 4.923E-12 ==
solution 70 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 5.33579705204343E+01 -5.85209544336525E-97
y2 : 2.16845335437475E-01 -1.62875703257724E-99
y3 : 1.15704270157665E+01 -1.09726789563098E-97
y4 : -1.15704270157665E+01 1.17041908867305E-97
y5 : -2.16845335437475E-01 1.54303297823107E-99
y6 : -5.33579705204343E+01 4.24276919643980E-97
y7 : -1.00000000000000E+00 1.80020514126958E-98
== err : 5.343E-14 = rco : 1.530E-06 = res : 2.500E-11 ==
solution 71 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : 2.46064645166506E+02 7.46395850472864E-84
y2 : 4.61158178930872E+00 2.01076468338595E-85
y3 : -4.61158178930872E+00 -2.04267761420668E-86
y4 : -2.46064645166506E+02 2.75876914560552E-84
y5 : -1.00000000000000E+00 -5.02691170846487E-87
y6 : -5.33579705204343E+01 1.93033409605051E-85
y7 : 5.33579705204343E+01 5.30841876413890E-85
== err : 6.090E-13 = rco : 1.830E-10 = res : 2.293E-08 ==
solution 72 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 2
the solution for t :
y1 : -1.33347464750160E+02 1.60861174670876E-86
y2 : 3.40153303905261E+00 4.27287495219514E-87
y3 : -1.00115497387755E+01 6.28363963558109E-88
y4 : 2.94664573359228E+01 9.04844107523677E-87
y5 : -7.51653796791481E-01 -3.22036531323531E-88
y6 : 1.00231128171976E+02 -2.01076468338595E-86
y7 : 1.00115497387755E+01 6.45643972555957E-87
== err : 7.111E-13 = rco : 2.349E-09 = res : 3.045E-08 ==