var x;
var y;
var z;

subject to

cons1:  y^4-20/7*x^2 = 0;
cons2:  x^2*z^4+7/10*x*z^4+7/48*z^4-50/27*x^2-35/27*x-49/216 = 0;
cons3:  3/5*x^6*y^2*z+x^5*y^3+3/7*x^5*y^2*z+7/5*x^4*y^3-7/20*x^4*y*z^2-
   3/20*x^4*z^3+609/1000*x^3*y^3+63/200*x^3*y^2*z-77/125*x^3*y*z^2-
   21/50*x^3*z^3+49/1250*x^2*y^3+147/2000*x^2*y^2*z-
   23863/60000*x^2*y*z^2-91/400*x^2*z^3-27391/800000*x*y^3+
   4137/800000*x*y^2*z-1078/9375*x*y*z^2-5887/200000*x*z^3-1029/160000*y^3-
   24353/1920000*y*z^2-343/128000*z^3 = 0;

solve;
display x, y, z;

# TITLE : the system Rose, a general economic equilibrium model

# ROOT COUNTS :

# total degree : 216
# 2-homogeneous Bezout number : 144
#   with partition : {y z }{x }
# generalized Bezout number : 136
#   based on the set structure :
#      {y x }{y x }{y }{y }
#      {x }{x }{z }{z }{z }{z }
#      {y z }{y z }{x }{x }{x }{x }{x }{y x }{z }
# mixed volume : 136

# REFERENCES :

# From the POSSO test suite.

# This has been presented as a general economic equilibrium model in

#  Shoven :"Applied general equilibrium modelling",
#  IMF Staff Papers, pages 394-419, 1983

# and discussed in

#   Rose, M., Gebauer, R., Kredel, H. and Kungl, H.:
#   "Exemplifying the workability of the Buchberger algorithm for
#    computation of general equilibrium by a model published
#    in Shoven (83)".
#   Department of Economics and Applied Mathematics, University of Heidelberg.

# THE SOLUTIONS :

# 136 3
# ===========================================================
# solution 1 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.06729292166197E-01  -7.66821788345747E-05
#  x : -2.95488240005381E-01  -6.41226636040884E-05
#  z :  3.52833334770102E-04   6.76297443540688E-01
# == err :  7.443E-16 = rco :  2.958E-03 = res :  1.995E-18 ==
# solution 2 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.86133341810989E-01  -1.51771416337703E-01
#  x : -1.26184694693208E-01  -8.72990290267602E-02
#  z : -5.64813987388284E-02  -1.08560597168044E+00
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 3 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.06729292166197E-01   7.66821788345747E-05
#  x : -2.95488240005381E-01  -6.41226636040884E-05
#  z : -3.52833334770102E-04  -6.76297443540688E-01
# == err :  7.443E-16 = rco :  2.958E-03 = res :  1.995E-18 ==
# solution 4 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.86133341810989E-01   1.51771416337703E-01
#  x : -1.26184694693208E-01  -8.72990290267602E-02
#  z :  5.64813987388284E-02   1.08560597168044E+00
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 5 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.51771416337703E-01  -4.86133341810989E-01
#  x : -1.26184694693208E-01  -8.72990290267602E-02
#  z :  1.08560597168044E+00  -5.64813987388284E-02
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 6 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.66821788345747E-05   7.06729292166197E-01
#  x : -2.95488240005381E-01  -6.41226636040884E-05
#  z :  6.76297443540688E-01  -3.52833334770102E-04
# == err :  7.443E-16 = rco :  2.958E-03 = res :  1.995E-18 ==
# solution 7 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.51771416337703E-01   4.86133341810989E-01
#  x : -1.26184694693208E-01  -8.72990290267602E-02
#  z : -1.08560597168044E+00   5.64813987388284E-02
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 8 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.66821788345747E-05  -7.06729292166197E-01
#  x : -2.95488240005381E-01  -6.41226636040884E-05
#  z : -6.76297443540688E-01   3.52833334770102E-04
# == err :  7.443E-16 = rco :  2.958E-03 = res :  1.995E-18 ==
# solution 9 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.22808567145380E+00   5.77330518942196E-63
#  x : -8.92259849602607E-01  -3.11454622060921E-63
#  z : -1.14448659740606E+00  -1.89911354915196E-63
# == err :  3.354E-15 = rco :  1.662E-01 = res :  4.441E-16 ==
# solution 10 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.86133341810989E-01  -1.51771416337703E-01
#  x : -1.26184694693208E-01   8.72990290267602E-02
#  z :  5.64813987388284E-02  -1.08560597168044E+00
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 11 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.22808567145380E+00  -5.77330518942196E-63
#  x : -8.92259849602607E-01  -3.11454622060921E-63
#  z :  1.14448659740606E+00   1.89911354915196E-63
# == err :  3.354E-15 = rco :  1.662E-01 = res :  4.441E-16 ==
# solution 12 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.86133341810989E-01   1.51771416337703E-01
#  x : -1.26184694693208E-01   8.72990290267602E-02
#  z : -5.64813987388284E-02   1.08560597168044E+00
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 13 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.51771416337703E-01   4.86133341810989E-01
#  x : -1.26184694693208E-01   8.72990290267602E-02
#  z :  1.08560597168044E+00   5.64813987388284E-02
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 14 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.77330518942196E-63  -1.22808567145380E+00
#  x : -8.92259849602607E-01  -3.11454622060921E-63
#  z : -1.89911354915196E-63   1.14448659740606E+00
# == err :  3.354E-15 = rco :  1.662E-01 = res :  4.441E-16 ==
# solution 15 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.51771416337703E-01  -4.86133341810989E-01
#  x : -1.26184694693208E-01   8.72990290267602E-02
#  z : -1.08560597168044E+00  -5.64813987388284E-02
# == err :  5.173E-15 = rco :  1.236E-02 = res :  1.963E-17 ==
# solution 16 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.77330518942196E-63   1.22808567145380E+00
#  x : -8.92259849602607E-01  -3.11454622060921E-63
#  z :  1.89911354915196E-63  -1.14448659740606E+00
# == err :  3.354E-15 = rco :  1.662E-01 = res :  4.441E-16 ==
# solution 17 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  9.42202296070487E-01  -4.46355840927017E-01
#  x : -4.07328973461773E-01   4.97610342529722E-01
#  z :  1.19445970997145E+00  -6.94263691281937E-03
# == err :  3.950E-15 = rco :  2.301E-02 = res :  7.448E-16 ==
# solution 18 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.72439510262998E-62  -2.58944594610507E-01
#  x :  3.96686774650024E-02   7.90031236447215E-63
#  z :  3.46398311365318E-62   1.12559270593244E+00
# == err :  1.841E-15 = rco :  1.505E-02 = res :  1.258E-16 ==
# solution 19 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -9.42202296070487E-01   4.46355840927017E-01
#  x : -4.07328973461773E-01   4.97610342529722E-01
#  z : -1.19445970997145E+00   6.94263691281937E-03
# == err :  3.950E-15 = rco :  2.301E-02 = res :  7.448E-16 ==
# solution 20 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.72439510262998E-62   2.58944594610507E-01
#  x :  3.96686774650024E-02   7.90031236447215E-63
#  z : -3.46398311365318E-62  -1.12559270593244E+00
# == err :  1.841E-15 = rco :  1.505E-02 = res :  1.258E-16 ==
# solution 21 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  2.58944594610507E-01   1.72439510262998E-62
#  x :  3.96686774650024E-02   7.90031236447215E-63
#  z : -1.12559270593244E+00   3.46398311365318E-62
# == err :  1.841E-15 = rco :  1.505E-02 = res :  1.258E-16 ==
# solution 22 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.46355840927017E-01  -9.42202296070487E-01
#  x : -4.07328973461773E-01   4.97610342529722E-01
#  z : -6.94263691281937E-03  -1.19445970997145E+00
# == err :  3.950E-15 = rco :  2.301E-02 = res :  7.448E-16 ==
# solution 23 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -2.58944594610507E-01  -1.72439510262998E-62
#  x :  3.96686774650024E-02   7.90031236447215E-63
#  z :  1.12559270593244E+00  -3.46398311365318E-62
# == err :  1.841E-15 = rco :  1.505E-02 = res :  1.258E-16 ==
# solution 24 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.46355840927017E-01   9.42202296070487E-01
#  x : -4.07328973461773E-01   4.97610342529722E-01
#  z :  6.94263691281937E-03   1.19445970997145E+00
# == err :  3.950E-15 = rco :  2.301E-02 = res :  7.448E-16 ==
# solution 25 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -8.45923636933352E-01  -3.04804618725120E-01
#  x : -3.68383014368426E-01  -3.05082096177652E-01
#  z :  1.25238045518965E+00   1.24811970223739E-02
# == err :  9.758E-16 = rco :  2.321E-02 = res :  1.670E-16 ==
# solution 26 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -9.80011313968479E-01  -6.31432852626338E-01
#  x : -3.32314914696150E-01  -7.32187451134562E-01
#  z : -6.47433994054858E-04  -1.17957107436855E+00
# == err :  3.839E-15 = rco :  1.835E-01 = res :  4.965E-16 ==
# solution 27 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.04999918410803E+00  -8.12856254142465E-01
#  x : -2.61350513386999E-01  -1.00987293014440E+00
#  z : -1.17315498632898E+00   1.18666524166848E-03
# == err :  5.126E-15 = rco :  7.718E-02 = res :  1.490E-15 ==
# solution 28 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.33118482458753E-69  -2.75063189951260E+00
#  x :  4.47609167455865E+00   5.46963016361133E-69
#  z : -8.47575082054775E-71   1.16625318897471E+00
# == err :  3.993E-15 = rco :  3.825E-04 = res :  2.046E-12 ==
# solution 29 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.46355840927017E-01   9.42202296070488E-01
#  x : -4.07328973461773E-01  -4.97610342529722E-01
#  z : -6.94263691281937E-03   1.19445970997145E+00
# == err :  3.912E-15 = rco :  2.301E-02 = res :  2.668E-16 ==
# solution 30 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.08894557607015E-01   7.93261087457945E-01
#  x : -3.65261799691737E-01   1.02208342089387E-01
#  z :  8.74104275763197E-01  -6.68536229940334E-01
# == err :  9.267E-16 = rco :  3.572E-03 = res :  9.714E-17 ==
# solution 31 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.08894557607015E-01   7.93261087457945E-01
#  x : -3.65261799691737E-01  -1.02208342089387E-01
#  z : -8.74104275763198E-01  -6.68536229940335E-01
# == err :  1.650E-15 = rco :  3.572E-03 = res :  2.082E-16 ==
# solution 32 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.07654909613252E-01   7.93734763976699E-01
#  x : -3.65865339091242E-01   1.01105145947890E-01
#  z : -8.68581832844960E-01   6.58476169954703E-01
# == err :  1.962E-15 = rco :  3.665E-03 = res :  1.110E-16 ==
# solution 33 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.07689440857743E-01  -4.35123654578093E-01
#  x : -4.04754358167603E-02   2.61381497709776E-01
#  z : -3.93467323095711E-02   1.15634560043139E+00
# == err :  4.526E-15 = rco :  1.903E-02 = res :  7.473E-17 ==
# solution 34 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.69160584602382E-01   1.43457878560659E-07
#  x : -3.50000015734356E-01  -1.30558584592064E-07
#  z :  4.76965181423346E-09   3.95770241979668E-08
# == err :  1.444E-07 = rco :  1.127E-07 = res :  3.200E-14 ==
# solution 35 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  8.45923636933352E-01  -3.04804618725120E-01
#  x : -3.68383014368426E-01   3.05082096177652E-01
#  z : -1.25238045518965E+00   1.24811970223738E-02
# == err :  9.412E-16 = rco :  2.321E-02 = res :  2.238E-16 ==
# solution 36 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.06729292166197E-01  -7.66821788345749E-05
#  x : -2.95488240005381E-01   6.41226636040886E-05
#  z : -3.52833334770102E-04   6.76297443540688E-01
# == err :  5.077E-16 = rco :  2.958E-03 = res :  1.994E-18 ==
# solution 37 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.67733824266134E-51  -2.25550867423398E-01
#  x : -3.00969873314954E-02   3.00686029885372E-51
#  z : -7.18305515837278E-51   1.10815809514278E+00
# == err :  6.743E-16 = rco :  1.386E-02 = res :  1.128E-17 ==
# solution 38 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.02054611323534E+00  -3.70891710560524E-58
#  x :  6.16168210366712E-01   7.01956123342737E-58
#  z :  1.15936720848735E+00   9.95682444457783E-60
# == err :  2.943E-15 = rco :  1.094E-01 = res :  7.008E-16 ==
# solution 39 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -9.01273514442533E-01   5.08039258050036E-01
#  x :  3.27863261064445E-01  -5.41773676244008E-01
#  z : -8.73614516573314E-03  -1.16439785943386E+00
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.003E-16 ==
# solution 40 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.09499022320081E+00  -7.88580496010564E-57
#  x :  7.09340089218694E-01   2.46929246225530E-57
#  z : -1.16055892612283E+00  -3.66411139560464E-57
# == err :  4.892E-15 = rco :  3.336E-01 = res :  7.563E-16 ==
# solution 41 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.04999918410803E+00   8.12856254142465E-01
#  x : -2.61350513386999E-01  -1.00987293014440E+00
#  z :  1.17315498632898E+00  -1.18666524166848E-03
# == err :  5.126E-15 = rco :  7.718E-02 = res :  1.490E-15 ==
# solution 42 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.33118482458753E-69   2.75063189951260E+00
#  x :  4.47609167455865E+00   5.46963016361133E-69
#  z :  8.47575082054775E-71  -1.16625318897471E+00
# == err :  3.993E-15 = rco :  3.825E-04 = res :  2.046E-12 ==
# solution 43 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  8.45923636933352E-01   3.04804618725120E-01
#  x : -3.68383014368426E-01  -3.05082096177652E-01
#  z : -1.25238045518965E+00  -1.24811970223739E-02
# == err :  9.758E-16 = rco :  2.321E-02 = res :  1.670E-16 ==
# solution 44 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  9.80011313968479E-01   6.31432852626338E-01
#  x : -3.32314914696150E-01  -7.32187451134562E-01
#  z :  6.47433994054858E-04   1.17957107436855E+00
# == err :  3.839E-15 = rco :  1.835E-01 = res :  4.965E-16 ==
# solution 45 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.08894557607015E-01  -7.93261087457945E-01
#  x : -3.65261799691737E-01  -1.02208342089387E-01
#  z :  8.74104275763198E-01   6.68536229940335E-01
# == err :  1.650E-15 = rco :  3.572E-03 = res :  2.082E-16 ==
# solution 46 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.07654909613252E-01  -7.93734763976699E-01
#  x : -3.65865339091242E-01   1.01105145947890E-01
#  z :  8.68581832844960E-01  -6.58476169954703E-01
# == err :  1.962E-15 = rco :  3.665E-03 = res :  1.110E-16 ==
# solution 47 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.46355840927017E-01  -9.42202296070488E-01
#  x : -4.07328973461773E-01  -4.97610342529722E-01
#  z :  6.94263691281937E-03  -1.19445970997145E+00
# == err :  3.912E-15 = rco :  2.301E-02 = res :  2.668E-16 ==
# solution 48 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.08894557607015E-01  -7.93261087457945E-01
#  x : -3.65261799691737E-01   1.02208342089387E-01
#  z : -8.74104275763197E-01   6.68536229940334E-01
# == err :  9.267E-16 = rco :  3.572E-03 = res :  9.714E-17 ==
# solution 49 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -8.45923636933352E-01   3.04804618725120E-01
#  x : -3.68383014368426E-01   3.05082096177652E-01
#  z :  1.25238045518965E+00  -1.24811970223738E-02
# == err :  9.412E-16 = rco :  2.321E-02 = res :  2.238E-16 ==
# solution 50 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.06729292166197E-01   7.66821788345749E-05
#  x : -2.95488240005381E-01   6.41226636040886E-05
#  z :  3.52833334770102E-04  -6.76297443540688E-01
# == err :  5.077E-16 = rco :  2.958E-03 = res :  1.994E-18 ==
# solution 51 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.07689440857743E-01   4.35123654578093E-01
#  x : -4.04754358167603E-02   2.61381497709776E-01
#  z :  3.93467323095711E-02  -1.15634560043139E+00
# == err :  4.526E-15 = rco :  1.903E-02 = res :  7.473E-17 ==
# solution 52 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.69160584602382E-01  -1.43457878560659E-07
#  x : -3.50000015734356E-01  -1.30558584592064E-07
#  z : -4.76965181423346E-09  -3.95770241979668E-08
# == err :  1.444E-07 = rco :  1.127E-07 = res :  3.200E-14 ==
# solution 53 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  9.01273514442533E-01  -5.08039258050036E-01
#  x :  3.27863261064445E-01  -5.41773676244008E-01
#  z :  8.73614516573314E-03   1.16439785943386E+00
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.003E-16 ==
# solution 54 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.09499022320081E+00   7.88580496010564E-57
#  x :  7.09340089218694E-01   2.46929246225530E-57
#  z :  1.16055892612283E+00   3.66411139560464E-57
# == err :  4.892E-15 = rco :  3.336E-01 = res :  7.563E-16 ==
# solution 55 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.67733824266134E-51   2.25550867423398E-01
#  x : -3.00969873314954E-02   3.00686029885372E-51
#  z :  7.18305515837278E-51  -1.10815809514278E+00
# == err :  6.743E-16 = rco :  1.386E-02 = res :  1.128E-17 ==
# solution 56 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.02054611323534E+00   3.70891710560524E-58
#  x :  6.16168210366712E-01   7.01956123342737E-58
#  z : -1.15936720848735E+00  -9.95682444457783E-60
# == err :  2.943E-15 = rco :  1.094E-01 = res :  7.008E-16 ==
# solution 57 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.43457878560659E-07   7.69160584602382E-01
#  x : -3.50000015734356E-01  -1.30558584592064E-07
#  z : -3.95770241979668E-08   4.76965181423346E-09
# == err :  1.444E-07 = rco :  1.127E-07 = res :  3.200E-14 ==
# solution 58 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  3.04804618725120E-01   8.45923636933352E-01
#  x : -3.68383014368426E-01   3.05082096177652E-01
#  z : -1.24811970223738E-02  -1.25238045518965E+00
# == err :  9.412E-16 = rco :  2.321E-02 = res :  2.238E-16 ==
# solution 59 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.66821788345749E-05   7.06729292166197E-01
#  x : -2.95488240005381E-01   6.41226636040886E-05
#  z : -6.76297443540688E-01  -3.52833334770102E-04
# == err :  5.077E-16 = rco :  2.958E-03 = res :  1.994E-18 ==
# solution 60 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.35123654578093E-01   5.07689440857743E-01
#  x : -4.04754358167603E-02   2.61381497709776E-01
#  z : -1.15634560043139E+00  -3.93467323095711E-02
# == err :  4.526E-15 = rco :  1.903E-02 = res :  7.473E-17 ==
# solution 61 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  3.70891710560524E-58  -1.02054611323534E+00
#  x :  6.16168210366712E-01   7.01956123342737E-58
#  z : -9.95682444457783E-60   1.15936720848735E+00
# == err :  2.943E-15 = rco :  1.094E-01 = res :  7.008E-16 ==
# solution 62 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.08039258050036E-01  -9.01273514442533E-01
#  x :  3.27863261064445E-01  -5.41773676244008E-01
#  z :  1.16439785943386E+00  -8.73614516573314E-03
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.003E-16 ==
# solution 63 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.88580496010564E-57  -1.09499022320081E+00
#  x :  7.09340089218694E-01   2.46929246225530E-57
#  z :  3.66411139560464E-57  -1.16055892612283E+00
# == err :  4.892E-15 = rco :  3.336E-01 = res :  7.563E-16 ==
# solution 64 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  2.25550867423398E-01  -4.67733824266134E-51
#  x : -3.00969873314954E-02   3.00686029885372E-51
#  z : -1.10815809514278E+00  -7.18305515837278E-51
# == err :  6.743E-16 = rco :  1.386E-02 = res :  1.128E-17 ==
# solution 65 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -2.75063189951260E+00  -1.33118482458753E-69
#  x :  4.47609167455865E+00   5.46963016361133E-69
#  z :  1.16625318897471E+00   8.47575082054775E-71
# == err :  3.993E-15 = rco :  3.825E-04 = res :  2.046E-12 ==
# solution 66 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -3.04804618725120E-01   8.45923636933352E-01
#  x : -3.68383014368426E-01  -3.05082096177652E-01
#  z :  1.24811970223739E-02  -1.25238045518965E+00
# == err :  9.758E-16 = rco :  2.321E-02 = res :  1.670E-16 ==
# solution 67 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -6.31432852626338E-01   9.80011313968479E-01
#  x : -3.32314914696150E-01  -7.32187451134562E-01
#  z : -1.17957107436855E+00   6.47433994054858E-04
# == err :  3.839E-15 = rco :  1.835E-01 = res :  4.965E-16 ==
# solution 68 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -8.12856254142465E-01   1.04999918410803E+00
#  x : -2.61350513386999E-01  -1.00987293014440E+00
#  z :  1.18666524166848E-03   1.17315498632898E+00
# == err :  5.126E-15 = rco :  7.718E-02 = res :  1.490E-15 ==
# solution 69 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.93734763976699E-01  -1.07654909613252E-01
#  x : -3.65865339091242E-01   1.01105145947890E-01
#  z :  6.58476169954703E-01   8.68581832844960E-01
# == err :  1.962E-15 = rco :  3.665E-03 = res :  1.110E-16 ==
# solution 70 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  9.42202296070488E-01   4.46355840927017E-01
#  x : -4.07328973461773E-01  -4.97610342529722E-01
#  z :  1.19445970997145E+00   6.94263691281937E-03
# == err :  3.912E-15 = rco :  2.301E-02 = res :  2.668E-16 ==
# solution 71 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.93261087457945E-01  -1.08894557607015E-01
#  x : -3.65261799691737E-01   1.02208342089387E-01
#  z : -6.68536229940334E-01  -8.74104275763197E-01
# == err :  9.267E-16 = rco :  3.572E-03 = res :  9.714E-17 ==
# solution 72 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.93261087457945E-01   1.08894557607015E-01
#  x : -3.65261799691737E-01  -1.02208342089387E-01
#  z : -6.68536229940335E-01   8.74104275763198E-01
# == err :  1.650E-15 = rco :  3.572E-03 = res :  2.082E-16 ==
# solution 73 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.66821788345749E-05  -7.06729292166197E-01
#  x : -2.95488240005381E-01   6.41226636040886E-05
#  z :  6.76297443540688E-01   3.52833334770102E-04
# == err :  5.077E-16 = rco :  2.958E-03 = res :  1.994E-18 ==
# solution 74 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.35123654578093E-01  -5.07689440857743E-01
#  x : -4.04754358167603E-02   2.61381497709776E-01
#  z :  1.15634560043139E+00   3.93467323095711E-02
# == err :  4.526E-15 = rco :  1.903E-02 = res :  7.473E-17 ==
# solution 75 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.43457878560659E-07  -7.69160584602382E-01
#  x : -3.50000015734356E-01  -1.30558584592064E-07
#  z :  3.95770241979668E-08  -4.76965181423346E-09
# == err :  1.444E-07 = rco :  1.127E-07 = res :  3.200E-14 ==
# solution 76 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -3.04804618725120E-01  -8.45923636933352E-01
#  x : -3.68383014368426E-01   3.05082096177652E-01
#  z :  1.24811970223738E-02   1.25238045518965E+00
# == err :  9.412E-16 = rco :  2.321E-02 = res :  2.238E-16 ==
# solution 77 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.88580496010564E-57   1.09499022320081E+00
#  x :  7.09340089218694E-01   2.46929246225530E-57
#  z : -3.66411139560464E-57   1.16055892612283E+00
# == err :  4.892E-15 = rco :  3.336E-01 = res :  7.563E-16 ==
# solution 78 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -2.25550867423398E-01   4.67733824266134E-51
#  x : -3.00969873314954E-02   3.00686029885372E-51
#  z :  1.10815809514278E+00   7.18305515837278E-51
# == err :  6.743E-16 = rco :  1.386E-02 = res :  1.128E-17 ==
# solution 79 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -3.70891710560524E-58   1.02054611323534E+00
#  x :  6.16168210366712E-01   7.01956123342737E-58
#  z :  9.95682444457783E-60  -1.15936720848735E+00
# == err :  2.943E-15 = rco :  1.094E-01 = res :  7.008E-16 ==
# solution 80 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.08039258050036E-01   9.01273514442533E-01
#  x :  3.27863261064445E-01  -5.41773676244008E-01
#  z : -1.16439785943386E+00   8.73614516573314E-03
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.003E-16 ==
# solution 81 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  6.31432852626338E-01  -9.80011313968479E-01
#  x : -3.32314914696150E-01  -7.32187451134562E-01
#  z :  1.17957107436855E+00  -6.47433994054858E-04
# == err :  3.839E-15 = rco :  1.835E-01 = res :  4.965E-16 ==
# solution 82 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  8.12856254142465E-01  -1.04999918410803E+00
#  x : -2.61350513386999E-01  -1.00987293014440E+00
#  z : -1.18666524166848E-03  -1.17315498632898E+00
# == err :  5.126E-15 = rco :  7.718E-02 = res :  1.490E-15 ==
# solution 83 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  2.75063189951260E+00   1.33118482458753E-69
#  x :  4.47609167455865E+00   5.46963016361133E-69
#  z : -1.16625318897471E+00  -8.47575082054775E-71
# == err :  3.993E-15 = rco :  3.825E-04 = res :  2.046E-12 ==
# solution 84 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  3.04804618725120E-01  -8.45923636933352E-01
#  x : -3.68383014368426E-01  -3.05082096177652E-01
#  z : -1.24811970223739E-02   1.25238045518965E+00
# == err :  9.758E-16 = rco :  2.321E-02 = res :  1.670E-16 ==
# solution 85 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.93261087457945E-01   1.08894557607015E-01
#  x : -3.65261799691737E-01   1.02208342089387E-01
#  z :  6.68536229940334E-01   8.74104275763197E-01
# == err :  9.267E-16 = rco :  3.572E-03 = res :  9.714E-17 ==
# solution 86 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.93261087457945E-01  -1.08894557607015E-01
#  x : -3.65261799691737E-01  -1.02208342089387E-01
#  z :  6.68536229940335E-01  -8.74104275763198E-01
# == err :  1.650E-15 = rco :  3.572E-03 = res :  2.082E-16 ==
# solution 87 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.93734763976699E-01   1.07654909613252E-01
#  x : -3.65865339091242E-01   1.01105145947890E-01
#  z : -6.58476169954703E-01  -8.68581832844960E-01
# == err :  1.962E-15 = rco :  3.665E-03 = res :  1.110E-16 ==
# solution 88 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -9.42202296070488E-01  -4.46355840927017E-01
#  x : -4.07328973461773E-01  -4.97610342529722E-01
#  z : -1.19445970997145E+00  -6.94263691281937E-03
# == err :  3.912E-15 = rco :  2.301E-02 = res :  2.668E-16 ==
# solution 89 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.93734763976699E-01   1.07654909613251E-01
#  x : -3.65865339091242E-01  -1.01105145947890E-01
#  z :  6.58476169954704E-01  -8.68581832844960E-01
# == err :  1.511E-15 = rco :  3.665E-03 = res :  1.119E-16 ==
# solution 90 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.33142568982927E+00  -8.75200663045793E-02
#  x : -1.04420855462554E+00   1.37875972346502E-01
#  z :  4.92408919981615E-03   1.15426656020049E+00
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 91 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.04999918410803E+00  -8.12856254142465E-01
#  x : -2.61350513386999E-01   1.00987293014440E+00
#  z :  1.17315498632898E+00   1.18666524166848E-03
# == err :  5.129E-15 = rco :  7.718E-02 = res :  8.006E-16 ==
# solution 92 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.43969277239265E-01  -2.93283330306704E-01
#  x : -1.24171097506832E-01   1.88766867492739E-01
#  z :  1.14191367994043E+00   7.08277961612591E-02
# == err :  2.639E-15 = rco :  8.527E-03 = res :  5.816E-17 ==
# solution 93 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.43969277239265E-01  -2.93283330306704E-01
#  x : -1.24171097506832E-01  -1.88766867492739E-01
#  z : -1.14191367994043E+00   7.08277961612591E-02
# == err :  2.639E-15 = rco :  8.527E-03 = res :  4.389E-17 ==
# solution 94 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.07689440857743E-01  -4.35123654578093E-01
#  x : -4.04754358167603E-02  -2.61381497709776E-01
#  z :  3.93467323095711E-02   1.15634560043139E+00
# == err :  4.527E-15 = rco :  1.903E-02 = res :  6.397E-17 ==
# solution 95 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.93734763976699E-01  -1.07654909613251E-01
#  x : -3.65865339091242E-01  -1.01105145947890E-01
#  z : -6.58476169954704E-01   8.68581832844960E-01
# == err :  1.511E-15 = rco :  3.665E-03 = res :  1.119E-16 ==
# solution 96 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.33142568982927E+00   8.75200663045793E-02
#  x : -1.04420855462554E+00   1.37875972346502E-01
#  z : -4.92408919981615E-03  -1.15426656020049E+00
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 97 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.04999918410803E+00   8.12856254142465E-01
#  x : -2.61350513386999E-01   1.00987293014440E+00
#  z : -1.17315498632898E+00  -1.18666524166848E-03
# == err :  5.129E-15 = rco :  7.718E-02 = res :  8.006E-16 ==
# solution 98 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.43969277239265E-01   2.93283330306704E-01
#  x : -1.24171097506832E-01   1.88766867492739E-01
#  z : -1.14191367994043E+00  -7.08277961612591E-02
# == err :  2.639E-15 = rco :  8.527E-03 = res :  5.816E-17 ==
# solution 99 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.43969277239265E-01   2.93283330306704E-01
#  x : -1.24171097506832E-01  -1.88766867492739E-01
#  z :  1.14191367994043E+00  -7.08277961612591E-02
# == err :  2.639E-15 = rco :  8.527E-03 = res :  4.389E-17 ==
# solution 100 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.07689440857743E-01   4.35123654578093E-01
#  x : -4.04754358167603E-02  -2.61381497709776E-01
#  z : -3.93467323095711E-02  -1.15634560043139E+00
# == err :  4.527E-15 = rco :  1.903E-02 = res :  6.397E-17 ==
# solution 101 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  2.93283330306704E-01   5.43969277239265E-01
#  x : -1.24171097506832E-01   1.88766867492739E-01
#  z : -7.08277961612591E-02   1.14191367994043E+00
# == err :  2.639E-15 = rco :  8.527E-03 = res :  5.816E-17 ==
# solution 102 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  2.93283330306704E-01  -5.43969277239265E-01
#  x : -1.24171097506832E-01  -1.88766867492739E-01
#  z : -7.08277961612591E-02  -1.14191367994043E+00
# == err :  2.639E-15 = rco :  8.527E-03 = res :  4.389E-17 ==
# solution 103 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.35123654578093E-01  -5.07689440857743E-01
#  x : -4.04754358167603E-02  -2.61381497709776E-01
#  z : -1.15634560043139E+00   3.93467323095711E-02
# == err :  4.527E-15 = rco :  1.903E-02 = res :  6.397E-17 ==
# solution 104 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.07654909613251E-01  -7.93734763976699E-01
#  x : -3.65865339091242E-01  -1.01105145947890E-01
#  z : -8.68581832844960E-01  -6.58476169954704E-01
# == err :  1.511E-15 = rco :  3.665E-03 = res :  1.119E-16 ==
# solution 105 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -8.75200663045793E-02  -1.33142568982927E+00
#  x : -1.04420855462554E+00   1.37875972346502E-01
#  z :  1.15426656020049E+00  -4.92408919981615E-03
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 106 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -8.12856254142465E-01  -1.04999918410803E+00
#  x : -2.61350513386999E-01   1.00987293014440E+00
#  z :  1.18666524166848E-03  -1.17315498632898E+00
# == err :  5.129E-15 = rco :  7.718E-02 = res :  8.006E-16 ==
# solution 107 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -2.93283330306704E-01  -5.43969277239265E-01
#  x : -1.24171097506832E-01   1.88766867492739E-01
#  z :  7.08277961612591E-02  -1.14191367994043E+00
# == err :  2.639E-15 = rco :  8.527E-03 = res :  5.816E-17 ==
# solution 108 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -2.93283330306704E-01   5.43969277239265E-01
#  x : -1.24171097506832E-01  -1.88766867492739E-01
#  z :  7.08277961612591E-02   1.14191367994043E+00
# == err :  2.639E-15 = rco :  8.527E-03 = res :  4.389E-17 ==
# solution 109 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.35123654578093E-01   5.07689440857743E-01
#  x : -4.04754358167603E-02  -2.61381497709776E-01
#  z :  1.15634560043139E+00  -3.93467323095711E-02
# == err :  4.527E-15 = rco :  1.903E-02 = res :  6.397E-17 ==
# solution 110 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.07654909613251E-01   7.93734763976699E-01
#  x : -3.65865339091242E-01  -1.01105145947890E-01
#  z :  8.68581832844960E-01   6.58476169954704E-01
# == err :  1.511E-15 = rco :  3.665E-03 = res :  1.119E-16 ==
# solution 111 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  8.75200663045793E-02   1.33142568982927E+00
#  x : -1.04420855462554E+00   1.37875972346502E-01
#  z : -1.15426656020049E+00   4.92408919981615E-03
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 112 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  8.12856254142465E-01   1.04999918410803E+00
#  x : -2.61350513386999E-01   1.00987293014440E+00
#  z : -1.18666524166848E-03   1.17315498632898E+00
# == err :  5.129E-15 = rco :  7.718E-02 = res :  8.006E-16 ==
# solution 113 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  7.69160426657503E-01  -2.37624885793056E-07
#  x : -3.49999871991398E-01   2.16258382350675E-07
#  z : -3.88040325679865E-08  -6.55557293154217E-08
# == err :  2.761E-07 = rco :  2.653E-07 = res :  1.170E-13 ==
# solution 114 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  9.80011313968479E-01  -6.31432852626338E-01
#  x : -3.32314914696150E-01   7.32187451134562E-01
#  z :  6.47433994054856E-04  -1.17957107436855E+00
# == err :  3.837E-15 = rco :  1.835E-01 = res :  4.445E-16 ==
# solution 115 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.33142568982927E+00   8.75200663045793E-02
#  x : -1.04420855462554E+00  -1.37875972346502E-01
#  z :  4.92408919981615E-03  -1.15426656020049E+00
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 116 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  5.08039258050036E-01  -9.01273514442533E-01
#  x :  3.27863261064445E-01   5.41773676244008E-01
#  z : -1.16439785943386E+00  -8.73614516573314E-03
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.965E-16 ==
# solution 117 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.47822784092609E-01  -4.94461471367056E-50
#  x : -1.18644167517606E-01  -1.55354448774109E-50
#  z :  1.06565912819805E+00  -1.87093529706454E-50
# == err :  4.622E-16 = rco :  6.758E-03 = res :  4.857E-17 ==
# solution 118 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.95064244294109E+00   1.95988518272482E-62
#  x : -2.25107187174101E+00  -6.62410805944204E-62
#  z :  1.16466985750817E+00  -1.27240607793181E-62
# == err :  6.261E-15 = rco :  2.257E-02 = res :  1.064E-13 ==
# solution 119 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -7.69160426657503E-01   2.37624885793056E-07
#  x : -3.49999871991398E-01   2.16258382350675E-07
#  z :  3.88040325679865E-08   6.55557293154217E-08
# == err :  2.761E-07 = rco :  2.653E-07 = res :  1.170E-13 ==
# solution 120 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -9.80011313968479E-01   6.31432852626338E-01
#  x : -3.32314914696150E-01   7.32187451134562E-01
#  z : -6.47433994054856E-04   1.17957107436855E+00
# == err :  3.837E-15 = rco :  1.835E-01 = res :  4.445E-16 ==
# solution 121 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.33142568982927E+00  -8.75200663045793E-02
#  x : -1.04420855462554E+00  -1.37875972346502E-01
#  z : -4.92408919981615E-03   1.15426656020049E+00
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 122 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -5.08039258050036E-01   9.01273514442533E-01
#  x :  3.27863261064445E-01   5.41773676244008E-01
#  z :  1.16439785943386E+00   8.73614516573314E-03
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.965E-16 ==
# solution 123 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.47822784092609E-01   4.94461471367056E-50
#  x : -1.18644167517606E-01  -1.55354448774109E-50
#  z : -1.06565912819805E+00   1.87093529706454E-50
# == err :  4.622E-16 = rco :  6.758E-03 = res :  4.857E-17 ==
# solution 124 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.95064244294109E+00  -1.95988518272482E-62
#  x : -2.25107187174101E+00  -6.62410805944204E-62
#  z : -1.16466985750817E+00   1.27240607793181E-62
# == err :  6.261E-15 = rco :  2.257E-02 = res :  1.064E-13 ==
# solution 125 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  9.01273514442533E-01   5.08039258050036E-01
#  x :  3.27863261064445E-01   5.41773676244008E-01
#  z :  8.73614516573314E-03  -1.16439785943386E+00
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.965E-16 ==
# solution 126 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  4.94461471367056E-50  -4.47822784092609E-01
#  x : -1.18644167517606E-01  -1.55354448774109E-50
#  z :  1.87093529706454E-50   1.06565912819805E+00
# == err :  4.622E-16 = rco :  6.758E-03 = res :  4.857E-17 ==
# solution 127 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -1.95988518272482E-62   1.95064244294109E+00
#  x : -2.25107187174101E+00  -6.62410805944204E-62
#  z :  1.27240607793181E-62   1.16466985750817E+00
# == err :  6.261E-15 = rco :  2.257E-02 = res :  1.064E-13 ==
# solution 128 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -2.37624885793056E-07  -7.69160426657503E-01
#  x : -3.49999871991398E-01   2.16258382350675E-07
#  z : -6.55557293154217E-08   3.88040325679865E-08
# == err :  2.761E-07 = rco :  2.653E-07 = res :  1.170E-13 ==
# solution 129 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -6.31432852626338E-01  -9.80011313968479E-01
#  x : -3.32314914696150E-01   7.32187451134562E-01
#  z : -1.17957107436855E+00  -6.47433994054856E-04
# == err :  3.837E-15 = rco :  1.835E-01 = res :  4.445E-16 ==
# solution 130 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  8.75200663045793E-02  -1.33142568982927E+00
#  x : -1.04420855462554E+00  -1.37875972346502E-01
#  z : -1.15426656020049E+00  -4.92408919981615E-03
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==
# solution 131 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -9.01273514442533E-01  -5.08039258050036E-01
#  x :  3.27863261064445E-01   5.41773676244008E-01
#  z : -8.73614516573314E-03   1.16439785943386E+00
# == err :  3.511E-15 = rco :  1.841E-01 = res :  4.965E-16 ==
# solution 132 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -4.94461471367056E-50   4.47822784092609E-01
#  x : -1.18644167517606E-01  -1.55354448774109E-50
#  z : -1.87093529706454E-50  -1.06565912819805E+00
# == err :  4.622E-16 = rco :  6.758E-03 = res :  4.857E-17 ==
# solution 133 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  1.95988518272482E-62  -1.95064244294109E+00
#  x : -2.25107187174101E+00  -6.62410805944204E-62
#  z : -1.27240607793181E-62  -1.16466985750817E+00
# == err :  6.261E-15 = rco :  2.257E-02 = res :  1.064E-13 ==
# solution 134 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  2.37624885793056E-07   7.69160426657503E-01
#  x : -3.49999871991398E-01   2.16258382350675E-07
#  z :  6.55557293154217E-08  -3.88040325679865E-08
# == err :  2.761E-07 = rco :  2.653E-07 = res :  1.170E-13 ==
# solution 135 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y :  6.31432852626338E-01   9.80011313968479E-01
#  x : -3.32314914696150E-01   7.32187451134562E-01
#  z :  1.17957107436855E+00   6.47433994054856E-04
# == err :  3.837E-15 = rco :  1.835E-01 = res :  4.445E-16 ==
# solution 136 :
# t :  1.00000000000000E+00   0.00000000000000E+00
# m : 1
# the solution for t :
#  y : -8.75200663045793E-02   1.33142568982927E+00
#  x : -1.04420855462554E+00  -1.37875972346502E-01
#  z :  1.15426656020049E+00   4.92408919981615E-03
# == err :  4.415E-15 = rco :  2.334E-01 = res :  1.332E-15 ==