9
z0 + z1 + z2 + z3 + z4 + z5 + z6 + z7
+(-6.67083740234375E-01 - 4.04968261718750E-01*i)*zz1;
z0*z1 + z0*z7 + z1*z2 + z2*z3 + z3*z4 + z4*z5
+ z5*z6 + z6*z7
+(-7.45269775390625E-01 - 7.04345703125000E-01*i)*zz1;
z0*z1*z2 + z0*z1*z7 + z0*z6*z7 + z1*z2*z3 + z2*z3*z4
+ z3*z4*z5 + z4*z5*z6 + z5*z6*z7
+( 2.00958251953125E-01 + 4.97253417968750E-01*i)*zz1;
z0*z1*z2*z3 + z0*z1*z2*z7 + z0*z1*z6*z7 + z0*z5*z6*z7
+ z1*z2*z3*z4 + z2*z3*z4*z5 + z3*z4*z5*z6 + z4*z5*z6*z7
+( 4.05975341796875E-01 + 8.09204101562500E-01*i)*zz1;
z0*z1*z2*z3*z4 + z0*z1*z2*z3*z7 + z0*z1*z2*z6*z7
+ z0*z1*z5*z6*z7 + z0*z4*z5*z6*z7 + z1*z2*z3*z4*z5
+ z2*z3*z4*z5*z6 + z3*z4*z5*z6*z7
+( 3.54156494140625E-01 + 9.08813476562500E-02*i)*zz1;
z0*z1*z2*z3*z4*z5 + z0*z1*z2*z3*z4*z7 + z0*z1*z2*z3*z6*z7
+ z0*z1*z2*z5*z6*z7 + z0*z1*z4*z5*z6*z7 + z0*z3*z4*z5*z6*z7
+ z1*z2*z3*z4*z5*z6 + z2*z3*z4*z5*z6*z7
+( 7.79876708984375E-01 + 4.51660156250000E-01*i)*zz1;
z0*z1*z2*z3*z4*z5*z6 + z0*z1*z2*z3*z4*z5*z7
+ z0*z1*z2*z3*z4*z6*z7 + z0*z1*z2*z3*z5*z6*z7
+ z0*z1*z2*z4*z5*z6*z7 + z0*z1*z3*z4*z5*z6*z7
+ z0*z2*z3*z4*z5*z6*z7 + z1*z2*z3*z4*z5*z6*z7
+( 6.67510986328125E-01 + 2.50915527343750E-01*i)*zz1;
z0*z1*z2*z3*z4*z5*z6*z7 - 1
+(-7.48565673828125E-01 + 9.80224609375000E-02*i)*zz1;
+(-7.86651611328125E-01 + 3.64990234375000E-02*i)*z0
+(-7.87689208984375E-01 - 5.99792480468750E-01*i)*z1
+(-6.23687744140625E-01 - 9.69482421875000E-01*i)*z2
+(-3.10272216796875E-01 + 2.86804199218750E-01*i)*z3
+( 3.86932373046875E-01 + 7.78442382812500E-01*i)*z4
+(-4.76989746093750E-02 + 3.64807128906250E-01*i)*z5
+(-8.79791259765625E-01 - 8.44726562500000E-01*i)*z6
+( 8.75030517578125E-01 - 4.90783691406250E-01*i)*z7
+( 1.60217285156250E-02 + 8.52355957031250E-01*i)*zz1
+(-3.54949951171875E-01 - 1.69982910156250E-01*i);
TITLE : the embedded cyclic 8-roots system with generic points
ROOT COUNTS :
total degree : 40320
8-homogeneous Bezout number : 181440
with partition : {z0 zz1 }{z1 }{z2 }{z3 }{z4 }{z5 }{z6 }{z7 }
general linear-product Bezout number : 32997
based on the set structure :
{z0 z1 z2 z3 z4 z5 z6 z7 zz1 }
{z0 z2 z4 z6 zz1 }{z1 z3 z5 z7 }
{z0 z3 z6 zz1 }{z1 z4 z6 z7 }{z2 z5 z7 }
{z0 z4 zz1 }{z1 z5 }{z2 z6 }{z3 z7 }
{z0 z5 zz1 }{z1 z6 z7 }{z2 z5 z7 }{z3 z6 }{z4 z7 }
{z0 z6 zz1 }{z1 z7 }{z2 z6 }{z3 z7 }{z4 z6 }{z5 z7 }
{z0 z7 zz1 }{z1 z7 }{z2 z7 }{z3 z7 }{z4 z7 }{z5 z7 }{z6 z7 }
{z0 zz1 }{z1 }{z2 }{z3 }{z4 }{z5 }{z6 }{z7 }
{z0 z1 z2 z3 z4 z5 z6 z7 zz1 }
mixed volume : 4176
NOTE :
The zz1 is a "slack variables", used to "square" the system
which became overdetermined after adding one random hyperplane.
For zz1 = 0 we find 144 solutions. These 144 solutions are
generic points on the one dimensional solution components.
With these 144 generic points we then can figure out the decomposition
into irreducible components. With monodromy group actions we found
16 curves of degree 16 and 16 quadrics.
The generic points are below as solutions of this system.
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.
A.J. Sommese and J. Verschelde:
"Numerical homotopies to compute generic points on positive
dimensional algebraic sets",
Journal of Complexity 16(3):572--602, 2000.
A.J. Sommese, J. Verschelde and C.W. Wampler:
"Numerical decomposition of the solution sets of polynomial
systems into irreducible components",
SIAM J.\ Numer.\ Anal. 38(6):2022--2046, 2001.
A.J. Sommese, J. Verschelde and C.W. Wampler:
"Numerical irreducible decomposition
using projections from points on the components",
to appear in Contemporary Mathematics.
A.J. Sommese, J. Verschelde and C.W. Wampler:
"Using monodromy to decompose solution sets of polynomial
systems into irreducible components",
In {\em Application of Algebraic Geometry to Coding Theory,
Physics and Computation}, edited by
C. Ciliberto, F. Hirzebruch, R. Miranda, and M. Teicher.
Proceedings of a NATO Conference, February 25 - March 1, 2001, Eilat,
Israel. Pages 297--315, Kluwer Academic Publishers.
A.J. Sommese, J. Verschelde and C.W. Wampler:
"Symmetric functions applied to decomposing solution sets
of polynomial systems",
Submitted for Publication, 2001.
THE SOLUTIONS :
144 9
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -9.06143880264950E-01 6.50442075808981E-01
z1 : 4.29902804951080E+00 -2.19966849700456E+00
z2 : 4.60580466603977E-01 -4.50227877506308E-01
z3 : 9.06143880264950E-01 -6.50442075808981E-01
z4 : -8.48376254364775E-02 2.75471793251264E-01
z5 : -4.60580466603977E-01 4.50227877506308E-01
z6 : -4.29902804951080E+00 2.19966849700456E+00
z7 : 8.48376254364775E-02 -2.75471793251264E-01
zz1 : -6.08495823782152E-16 -2.73466865883658E-16
== err : 1.015E-14 = rco : 2.576E-03 = res : 1.225E-14 ==
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.75452295106601E+00 8.80417949118289E-02
z1 : 3.59148426091962E-01 -2.57848248473499E+00
z2 : -5.73171650036413E-01 -2.24724839548086E-01
z3 : -1.75452295106600E+00 -8.80417949118293E-02
z4 : -1.89313585517047E-01 -3.00497002092315E-01
z5 : 5.73171650036413E-01 2.24724839548086E-01
z6 : -3.59148426091962E-01 2.57848248473499E+00
z7 : 1.89313585517047E-01 3.00497002092315E-01
zz1 : -9.00436013409642E-16 -5.94089335518003E-16
== err : 1.707E-14 = rco : 2.560E-03 = res : 7.557E-15 ==
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.07751689977957E+00 1.08135445916004E+00
z1 : -2.80055999519340E-01 2.71014289732666E-01
z2 : 4.69676844124031E-02 -1.31748927395659E+00
z3 : -1.27340161601988E+00 6.40586753970902E-02
z4 : 2.80055999519340E-01 -2.71014289732666E-01
z5 : 1.07751689977957E+00 -1.08135445916005E+00
z6 : 1.27340161601988E+00 -6.40586753970898E-02
z7 : -4.69676844124028E-02 1.31748927395659E+00
zz1 : 8.66322994916558E-17 3.82343310077887E-16
== err : 2.697E-15 = rco : 2.384E-02 = res : 4.961E-15 ==
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.18351470931885E-01 3.14750403952489E-01
z1 : 7.38451529753908E-01 -8.25057190030791E-01
z2 : -3.09651833066213E-02 -6.44561566127122E-01
z3 : 7.76221780791704E-01 -2.17337913503343E+00
z4 : -7.38451529753908E-01 8.25057190030791E-01
z5 : -5.18351470931885E-01 -3.14750403952490E-01
z6 : -7.76221780791704E-01 2.17337913503342E+00
z7 : 3.09651833066214E-02 6.44561566127122E-01
zz1 : -2.12479688937251E-16 -1.03591692778806E-15
== err : 1.061E-14 = rco : 7.954E-03 = res : 6.456E-15 ==
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.93262376952971E+00 2.18865037020557E+00
z1 : -8.37819332193035E-01 1.61745457574941E-01
z2 : 1.86768320955596E-01 -8.62702257515634E-02
z3 : 1.55646475760201E+00 -2.75721052513899E-02
z4 : 8.37819332193035E-01 -1.61745457574941E-01
z5 : -2.93262376952971E+00 -2.18865037020557E+00
z6 : -1.55646475760201E+00 2.75721052513899E-02
z7 : -1.86768320955596E-01 8.62702257515634E-02
zz1 : -4.42429819211220E-16 4.98480898919692E-16
== err : 5.395E-15 = rco : 3.154E-03 = res : 1.112E-14 ==
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.21058816670883E-01 3.46042743078882E-01
z1 : -3.58226875698016E-01 3.59063414101055E-01
z2 : -2.07070907177983E+00 -5.91487635201862E-01
z3 : -3.21058816670883E-01 -3.46042743078882E-01
z4 : -1.84435770286043E+00 5.99969716568773E-01
z5 : 2.07070907177983E+00 5.91487635201862E-01
z6 : 3.58226875698017E-01 -3.59063414101055E-01
z7 : 1.84435770286043E+00 -5.99969716568774E-01
zz1 : 1.58821300709930E-17 -2.19500270032906E-16
== err : 5.918E-15 = rco : 1.478E-02 = res : 6.832E-15 ==
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 4.94677751466466E-01 1.10935061627050E+00
z1 : -8.06985183786396E-01 -3.43766989074463E+00
z2 : -4.38869175757880E-01 -4.46054980766895E-01
z3 : -4.94677751466466E-01 -1.10935061627050E+00
z4 : 3.68761934066350E-01 -5.32807431253889E-02
z5 : 4.38869175757880E-01 4.46054980766895E-01
z6 : 8.06985183786397E-01 3.43766989074463E+00
z7 : -3.68761934066350E-01 5.32807431253889E-02
zz1 : 1.41354032847957E-15 -9.33946310662767E-16
== err : 1.182E-14 = rco : 2.668E-03 = res : 7.611E-15 ==
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.50411464653393E+00 -2.20931468332700E+00
z1 : -1.60541465556260E+00 1.36158374429267E-02
z2 : -2.40622479896160E-01 1.60492051234437E-01
z3 : 1.50411464653393E+00 2.20931468332700E+00
z4 : -7.49340589578975E-01 2.96140995366675E-01
z5 : 2.40622479896160E-01 -1.60492051234437E-01
z6 : 1.60541465556260E+00 -1.36158374429265E-02
z7 : 7.49340589578975E-01 -2.96140995366675E-01
zz1 : 5.05868289921473E-16 4.05785976731609E-16
== err : 3.062E-15 = rco : 4.212E-03 = res : 7.428E-15 ==
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.08610704156257E-02 4.91284316935150E-01
z1 : -4.90758816244044E-01 1.11193654542124E-02
z2 : -9.67344928296322E-01 -1.78978445432034E+00
z3 : 1.08610704156260E-02 -4.91284316935150E-01
z4 : -1.79204433330891E+00 -9.69839613514219E-01
z5 : 9.67344928296320E-01 1.78978445432034E+00
z6 : 4.90758816244044E-01 -1.11193654542121E-02
z7 : 1.79204433330891E+00 9.69839613514219E-01
zz1 : 5.88054833240622E-16 7.54328402637815E-16
== err : 5.648E-15 = rco : 1.632E-02 = res : 6.126E-15 ==
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.99376589758738E-02 -4.58005550182116E-01
z1 : 4.86224380256221E-01 3.94367776884737E-02
z2 : 8.03799399997612E-01 2.04073198281456E+00
z3 : 2.99376589758735E-02 4.58005550182116E-01
z4 : 1.90607345284432E+00 7.16492089641176E-01
z5 : -8.03799399997610E-01 -2.04073198281456E+00
z6 : -4.86224380256221E-01 -3.94367776884740E-02
z7 : -1.90607345284432E+00 -7.16492089641175E-01
zz1 : -5.09009865118383E-16 -5.59723319211030E-16
== err : 1.021E-14 = rco : 8.661E-03 = res : 7.251E-15 ==
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.07875268739001E-01 -3.25220564720223E-01
z1 : 3.32809466128065E-01 3.79128980058190E-01
z2 : -8.17822410106299E-01 2.11684361960401E+00
z3 : -3.07875268739001E-01 3.25220564720223E-01
z4 : 7.70771880131844E-01 1.79171986563647E+00
z5 : 8.17822410106298E-01 -2.11684361960402E+00
z6 : -3.32809466128066E-01 -3.79128980058191E-01
z7 : -7.70771880131843E-01 -1.79171986563647E+00
zz1 : -1.30870668934265E-15 -4.26601291810971E-16
== err : 1.155E-14 = rco : 2.053E-03 = res : 7.231E-15 ==
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.55030058606507E+00 3.94561028211839E-02
z1 : 1.06161604535071E+00 1.30568544935450E+00
z2 : -7.95726299046081E-01 5.96938147262961E-01
z3 : -1.55030058606507E+00 -3.94561028211832E-02
z4 : -3.71257903801658E-01 1.02734296019317E-01
z5 : 7.95726299046081E-01 -5.96938147262961E-01
z6 : -1.06161604535071E+00 -1.30568544935450E+00
z7 : 3.71257903801658E-01 -1.02734296019317E-01
zz1 : 4.42094460207678E-16 1.94143927336621E-15
== err : 8.770E-15 = rco : 9.754E-03 = res : 7.801E-15 ==
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.74231564587123E-01 1.15358241653542E+00
z1 : 2.11480346371443E+00 -3.96490034763715E+00
z2 : 1.19097769329953E-02 -6.38060819513782E-01
z3 : 2.74231564587123E-01 -1.15358241653542E+00
z4 : 1.98744563534693E-01 2.16768548147766E-01
z5 : -1.19097769329956E-02 6.38060819513782E-01
z6 : -2.11480346371443E+00 3.96490034763715E+00
z7 : -1.98744563534693E-01 -2.16768548147766E-01
zz1 : 1.98538810387731E-15 3.27938984165881E-15
== err : 2.837E-14 = rco : 1.879E-03 = res : 1.160E-14 ==
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -5.62088894105796E-01 1.44614719371579E+00
z1 : -2.33494890228796E-01 -6.00737683651501E-01
z2 : -1.44614719371579E+00 -5.62088894105796E-01
z3 : 6.00737683651501E-01 -2.33494890228796E-01
z4 : 5.62088894105796E-01 -1.44614719371579E+00
z5 : 2.33494890228795E-01 6.00737683651501E-01
z6 : 1.44614719371579E+00 5.62088894105796E-01
z7 : -6.00737683651501E-01 2.33494890228796E-01
zz1 : -1.29016339485593E-16 3.59668055252498E-16
== err : 1.729E-15 = rco : 2.854E-02 = res : 5.658E-15 ==
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.78058934575126E+00 -1.09570873949280E+00
z1 : -1.11625619234994E+00 1.19145802181949E+00
z2 : 1.82197079681380E-03 2.82254104617757E-01
z3 : 2.78058934575126E+00 1.09570873949280E+00
z4 : -3.15194351391194E-01 6.54076409609309E-01
z5 : -1.82197079681375E-03 -2.82254104617757E-01
z6 : 1.11625619234994E+00 -1.19145802181949E+00
z7 : 3.15194351391194E-01 -6.54076409609309E-01
zz1 : 1.03242962881032E-16 3.90070801754056E-16
== err : 1.034E-14 = rco : 4.037E-03 = res : 1.083E-14 ==
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 6.50125742264321E-01 -1.14219461773379E-01
z1 : 1.68143884275419E-01 -6.37053289679919E-01
z2 : -7.78508481246486E-01 -1.19297716286852E+00
z3 : -6.50125742264321E-01 1.14219461773378E-01
z4 : -1.42109621665836E+00 -7.65390922509126E-01
z5 : 7.78508481246485E-01 1.19297716286852E+00
z6 : -1.68143884275419E-01 6.37053289679919E-01
z7 : 1.42109621665836E+00 7.65390922509126E-01
zz1 : -6.73062175062404E-16 9.57366286663804E-16
== err : 9.895E-15 = rco : 1.077E-02 = res : 6.003E-15 ==
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.13156301077251E+00 -1.09139987063483E+00
z1 : 1.93314068627150E+00 1.55729050941885E-01
z2 : -2.34073627443343E-01 9.14632498496744E-01
z3 : -1.13156301077251E+00 1.09139987063483E+00
z4 : -1.46837700718233E-01 3.14834499161572E-01
z5 : 2.34073627443343E-01 -9.14632498496744E-01
z6 : -1.93314068627150E+00 -1.55729050941886E-01
z7 : 1.46837700718233E-01 -3.14834499161572E-01
zz1 : 7.07360132465003E-19 -4.29831718802336E-16
== err : 6.142E-15 = rco : 8.968E-03 = res : 6.396E-15 ==
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.50601495940245E-01 2.53600107067664E-01
z1 : 5.29837310374065E-01 1.58006749311975E+00
z2 : 3.93989825401433E-01 -2.45917327584215E+00
z3 : -3.91548755301956E-01 -3.95874927969746E-01
z4 : -5.29837310374066E-01 -1.58006749311975E+00
z5 : 3.50601495940246E-01 -2.53600107067663E-01
z6 : 3.91548755301956E-01 3.95874927969747E-01
z7 : -3.93989825401432E-01 2.45917327584215E+00
zz1 : 4.56673246149120E-15 5.45838789715801E-15
== err : 4.070E-14 = rco : 2.234E-03 = res : 7.574E-15 ==
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -7.03244337399208E-02 4.07961125904968E-01
z1 : 1.47875880974322E+00 6.81998675895549E-01
z2 : -1.53240099519825E+00 -2.13449105543598E+00
z3 : -5.64420674274648E-01 -1.11913587532680E-02
z4 : -1.47875880974322E+00 -6.81998675895548E-01
z5 : 7.03244337399207E-02 -4.07961125904967E-01
z6 : 5.64420674274648E-01 1.11913587532679E-02
z7 : 1.53240099519825E+00 2.13449105543598E+00
zz1 : -2.84535429335563E-16 -1.81985764583674E-16
== err : 4.825E-15 = rco : 7.910E-03 = res : 5.111E-15 ==
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.86964854926111E-01 3.11644112900503E-01
z1 : 2.49362819846968E-01 1.32258722077791E+00
z2 : 5.57592518868017E-01 -1.58782303912220E+00
z3 : 5.33089937206427E-01 -3.96456844675228E-01
z4 : -2.49362819846968E-01 -1.32258722077791E+00
z5 : -5.86964854926111E-01 -3.11644112900503E-01
z6 : -5.33089937206427E-01 3.96456844675228E-01
z7 : -5.57592518868017E-01 1.58782303912220E+00
zz1 : 7.89094245103940E-17 9.27979249231514E-17
== err : 2.776E-15 = rco : 5.256E-02 = res : 6.912E-15 ==
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.01599309749736E+00 -1.22922841778120E-01
z1 : 4.49765383257255E+00 7.39011070321988E-01
z2 : 6.44566742146184E-01 2.93101624810822E-03
z3 : 1.01599309749736E+00 1.22922841778120E-01
z4 : -3.18911261998111E-01 9.44053725775386E-02
z5 : -6.44566742146184E-01 -2.93101624810816E-03
z6 : -4.49765383257254E+00 -7.39011070321990E-01
z7 : 3.18911261998111E-01 -9.44053725775388E-02
zz1 : 1.68512425115199E-16 -2.32686100591901E-15
== err : 8.552E-15 = rco : 2.988E-03 = res : 5.644E-15 ==
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -9.30525819201685E-01 -1.30023200740355E+00
z1 : 5.08602143271676E-01 3.63986906429634E-01
z2 : 1.30023200740355E+00 -9.30525819201685E-01
z3 : -3.63986906429634E-01 5.08602143271677E-01
z4 : 9.30525819201685E-01 1.30023200740355E+00
z5 : -5.08602143271676E-01 -3.63986906429634E-01
z6 : -1.30023200740355E+00 9.30525819201685E-01
z7 : 3.63986906429634E-01 -5.08602143271676E-01
zz1 : -1.29879314332985E-16 3.85938680246304E-16
== err : 2.185E-15 = rco : 2.888E-02 = res : 4.966E-15 ==
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -6.31899381257349E-01 -2.70118729213659E-01
z1 : -9.37423042540809E-01 7.01059930971971E-01
z2 : 5.95530992033431E-02 6.69055717234871E-01
z3 : -5.94349956403921E-01 1.75265527350711E+00
z4 : 9.37423042540809E-01 -7.01059930971971E-01
z5 : 6.31899381257349E-01 2.70118729213659E-01
z6 : 5.94349956403921E-01 -1.75265527350711E+00
z7 : -5.95530992033433E-02 -6.69055717234871E-01
zz1 : 8.32417090156423E-16 5.45136930219195E-16
== err : 5.021E-15 = rco : 8.880E-03 = res : 5.296E-15 ==
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -9.32282094900865E-01 -9.29850633920593E-01
z1 : -4.77703818029868E-01 -4.80331660083081E-01
z2 : -4.49409547644750E-01 9.56048191558377E-01
z3 : -9.59750923637446E-01 4.52835377587942E-01
z4 : 4.77703818029868E-01 4.80331660083081E-01
z5 : 9.32282094900865E-01 9.29850633920593E-01
z6 : 9.59750923637445E-01 -4.52835377587942E-01
z7 : 4.49409547644750E-01 -9.56048191558377E-01
zz1 : -7.20414081592449E-16 2.06642949762152E-16
== err : 3.530E-15 = rco : 9.993E-03 = res : 5.069E-15 ==
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.58688513313785E-01 2.39644577728132E+00
z1 : 1.90832045412878E+00 -3.22221426786947E-01
z2 : 1.09850524075189E-01 -3.94544385977575E-01
z3 : 3.58688513313784E-01 -2.39644577728132E+00
z4 : 5.04108827224918E-01 -1.30249308913193E-01
z5 : -1.09850524075189E-01 3.94544385977575E-01
z6 : -1.90832045412878E+00 3.22221426786948E-01
z7 : -5.04108827224918E-01 1.30249308913193E-01
zz1 : 6.93077188814153E-16 -9.62237167943950E-17
== err : 7.534E-14 = rco : 1.598E-03 = res : 5.614E-15 ==
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 8.97092248270796E-02 6.91536950334378E-01
z1 : 6.85833554799047E-01 2.18226224570467E-01
z2 : 1.07829107808039E+00 -6.16287898186496E-01
z3 : -8.97092248270796E-02 -6.91536950334377E-01
z4 : 5.35274420654881E-01 -1.51236348446936E+00
z5 : -1.07829107808039E+00 6.16287898186496E-01
z6 : -6.85833554799047E-01 -2.18226224570467E-01
z7 : -5.35274420654881E-01 1.51236348446936E+00
zz1 : 8.16231842687356E-17 -2.18219524187108E-16
== err : 5.985E-15 = rco : 1.002E-02 = res : 4.538E-15 ==
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.35898146414620E+00 -1.21119991704883E+00
z1 : 2.95934177785442E-02 -1.56178716829715E+00
z2 : -1.03856683403532E-01 -3.40930939178367E-01
z3 : -1.35898146414620E+00 1.21119991704883E+00
z4 : -5.29213635429378E-01 -8.32808228480135E-01
z5 : 1.03856683403532E-01 3.40930939178368E-01
z6 : -2.95934177785443E-02 1.56178716829715E+00
z7 : 5.29213635429378E-01 8.32808228480134E-01
zz1 : -2.06986171934636E-16 -3.38233763968446E-16
== err : 4.475E-15 = rco : 6.716E-03 = res : 5.612E-15 ==
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.27644612380652E+00 5.20804559731445E-02
z1 : -7.21128174824395E-01 -5.45419909885653E-02
z2 : 2.96815315221300E-01 9.30583583161355E-01
z3 : -2.99889944894924E-01 1.06678175312847E+00
z4 : 7.21128174824395E-01 5.45419909885652E-02
z5 : 1.27644612380652E+00 -5.20804559731443E-02
z6 : 2.99889944894924E-01 -1.06678175312847E+00
z7 : -2.96815315221300E-01 -9.30583583161355E-01
zz1 : 1.70180057043418E-16 4.95113563797769E-16
== err : 2.501E-15 = rco : 3.746E-02 = res : 3.439E-15 ==
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.38489879127149E-01 -3.67128607020368E-01
z1 : 1.29244197794997E+00 -5.83490138264317E-01
z2 : 5.99124587912909E-01 -6.13587080341483E-03
z3 : 2.14135516491709E+00 -2.10049448920843E+00
z4 : -1.29244197794997E+00 5.83490138264317E-01
z5 : 1.38489879127149E-01 3.67128607020368E-01
z6 : -2.14135516491709E+00 2.10049448920844E+00
z7 : -5.99124587912909E-01 6.13587080341463E-03
zz1 : 2.69610904631811E-15 3.31223798289684E-15
== err : 5.437E-14 = rco : 1.393E-03 = res : 1.092E-14 ==
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -6.17159635956917E-01 -3.75538609075879E-01
z1 : -5.84120499530338E-01 4.08684198496453E-01
z2 : -5.72604649000945E-01 1.34093947034777E+00
z3 : 6.17159635956917E-01 3.75538609075879E-01
z4 : 4.43745776584095E-01 1.25555049093616E+00
z5 : 5.72604649000945E-01 -1.34093947034777E+00
z6 : 5.84120499530338E-01 -4.08684198496453E-01
z7 : -4.43745776584095E-01 -1.25555049093616E+00
zz1 : -2.71578376338595E-16 3.17086681782641E-16
== err : 2.913E-15 = rco : 4.395E-02 = res : 5.416E-15 ==
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -6.79940932354404E-01 2.20447176341531E-01
z1 : -1.40830869090817E-01 1.06082073240296E+00
z2 : 5.05732190476619E-01 4.48116341938911E-01
z3 : 1.00059856822336E+00 1.65596423951484E+00
z4 : 1.40830869090817E-01 -1.06082073240296E+00
z5 : 6.79940932354404E-01 -2.20447176341531E-01
z6 : -1.00059856822336E+00 -1.65596423951484E+00
z7 : -5.05732190476619E-01 -4.48116341938911E-01
zz1 : -4.94916069910538E-16 -1.46932288560537E-16
== err : 3.531E-15 = rco : 3.500E-02 = res : 4.618E-15 ==
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.52198504424751E+00 2.07703211126806E-01
z1 : 1.11341809030552E+00 -1.05103384128189E+00
z2 : 2.23210897054544E-01 -3.51711252310382E-01
z3 : -1.52198504424751E+00 -2.07703211126806E-01
z4 : 5.65676987503282E-02 -1.01911173394340E+00
z5 : -2.23210897054544E-01 3.51711252310382E-01
z6 : -1.11341809030552E+00 1.05103384128189E+00
z7 : -5.65676987503283E-02 1.01911173394340E+00
zz1 : -2.22549880379973E-16 1.54357605776682E-16
== err : 2.215E-15 = rco : 1.084E-02 = res : 5.091E-15 ==
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.37465981533641E-02 -4.21578409338722E-01
z1 : -1.63899941096582E+00 -6.88783600453231E-01
z2 : 1.18914488531577E+00 2.17181007611305E+00
z3 : 5.37406759604643E-01 2.51926801027046E-02
z4 : 1.63899941096582E+00 6.88783600453232E-01
z5 : -2.37465981533641E-02 4.21578409338722E-01
z6 : -5.37406759604643E-01 -2.51926801027046E-02
z7 : -1.18914488531577E+00 -2.17181007611305E+00
zz1 : -6.23244816920353E-16 -1.19202970155716E-16
== err : 6.856E-15 = rco : 1.110E-02 = res : 8.246E-15 ==
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.16653426138323E-02 -3.05864341712812E-01
z1 : -3.34885640373326E-01 -3.23475343977857E+00
z2 : -3.05864341712812E-01 -3.16653426138323E-02
z3 : -3.23475343977857E+00 3.34885640373326E-01
z4 : -3.16653426138322E-02 3.05864341712812E-01
z5 : 3.34885640373326E-01 3.23475343977857E+00
z6 : 3.05864341712812E-01 3.16653426138323E-02
z7 : 3.23475343977857E+00 -3.34885640373327E-01
zz1 : -2.12348747527828E-16 2.68736494999964E-16
== err : 1.760E-14 = rco : 1.229E-03 = res : 4.165E-15 ==
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.88178261704291E+00 2.95757180155758E+00
z1 : 5.84828453650514E-01 -6.22001294066299E-01
z2 : 1.07693767270937E+00 -1.08668020836525E+00
z3 : 9.94198566648750E-02 -1.21353076851270E-01
z4 : -5.84828453650514E-01 6.22001294066299E-01
z5 : 3.88178261704291E+00 -2.95757180155759E+00
z6 : -9.94198566648749E-02 1.21353076851270E-01
z7 : -1.07693767270937E+00 1.08668020836525E+00
zz1 : 4.28253735834088E-16 -4.17707750081752E-16
== err : 7.365E-15 = rco : 3.570E-03 = res : 6.715E-15 ==
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.17664633172251E-03 -1.37288385709812E+00
z1 : -2.50598020016877E-03 -6.14955077469591E-01
z2 : -9.95350812671190E-01 4.49132364664038E-01
z3 : -9.87569488263200E-01 -4.48583769008056E-01
z4 : 2.50598020016859E-03 6.14955077469591E-01
z5 : -2.17664633172230E-03 1.37288385709812E+00
z6 : 9.87569488263199E-01 4.48583769008057E-01
z7 : 9.95350812671190E-01 -4.49132364664038E-01
zz1 : 2.83989581481557E-16 1.02229191508540E-17
== err : 3.001E-15 = rco : 2.895E-02 = res : 4.248E-15 ==
solution 37 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 7.31201292435497E-03 1.53483550200475E+00
z1 : -2.00016945863532E-02 3.70123531717704E-01
z2 : -9.22725743347979E-01 -1.05972114261984E+00
z3 : -7.74040123435455E-01 9.82691354517841E-01
z4 : 2.00016945863532E-02 -3.70123531717704E-01
z5 : -7.31201292435490E-03 -1.53483550200475E+00
z6 : 7.74040123435455E-01 -9.82691354517841E-01
z7 : 9.22725743347980E-01 1.05972114261984E+00
zz1 : 2.86419641979266E-16 8.50293233993064E-17
== err : 1.519E-15 = rco : 1.333E-02 = res : 6.601E-15 ==
solution 38 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 9.97236912123965E-03 -1.54225575937388E+00
z1 : -3.25684094452826E-02 -3.51314643329388E-01
z2 : 6.87823209197499E-01 1.00702986027524E+00
z3 : 9.53645701712696E-01 -1.16679334316274E+00
z4 : 3.25684094452827E-02 3.51314643329388E-01
z5 : -9.97236912123965E-03 1.54225575937388E+00
z6 : -9.53645701712697E-01 1.16679334316274E+00
z7 : -6.87823209197499E-01 -1.00702986027524E+00
zz1 : -5.23012772451290E-16 2.59168090982901E-16
== err : 3.103E-15 = rco : 1.611E-02 = res : 7.130E-15 ==
solution 39 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -5.44189797167132E-01 -7.18824791603434E-01
z1 : 2.55744164906909E+00 3.12611970601763E+00
z2 : 4.54402256839175E-01 4.55538553131870E-01
z3 : 5.44189797167132E-01 7.18824791603434E-01
z4 : -3.64521323393532E-01 -2.22001769650258E-01
z5 : -4.54402256839175E-01 -4.55538553131871E-01
z6 : -2.55744164906909E+00 -3.12611970601763E+00
z7 : 3.64521323393532E-01 2.22001769650258E-01
zz1 : -4.97094178645269E-16 -4.02232175897778E-16
== err : 1.443E-14 = rco : 6.057E-03 = res : 8.992E-15 ==
solution 40 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.75136467438666E-01 6.61489166769780E-01
z1 : -6.95566191002311E-01 1.18696643579168E+00
z2 : 1.41150146869829E+00 -6.69457460571054E-01
z3 : 6.69971496869502E-01 1.16126223602684E-01
z4 : 6.95566191002312E-01 -1.18696643579168E+00
z5 : -1.75136467438666E-01 -6.61489166769780E-01
z6 : -6.69971496869502E-01 -1.16126223602684E-01
z7 : -1.41150146869829E+00 6.69457460571056E-01
zz1 : 1.78816068797221E-15 1.85718058545162E-15
== err : 1.622E-14 = rco : 9.396E-03 = res : 6.184E-15 ==
solution 41 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.22057521331551E+00 1.02430936584929E+00
z1 : -1.58966312516103E+00 -6.73298774335847E-01
z2 : 1.73682352300072E-02 -7.59116003905219E-01
z3 : 1.22057521331551E+00 -1.02430936584929E+00
z4 : 1.29854603830015E-01 -4.60805851851355E-01
z5 : -1.73682352300073E-02 7.59116003905219E-01
z6 : 1.58966312516103E+00 6.73298774335847E-01
z7 : -1.29854603830015E-01 4.60805851851355E-01
zz1 : 9.16198597724174E-17 -2.61865329045264E-16
== err : 2.325E-15 = rco : 1.667E-02 = res : 5.644E-15 ==
solution 42 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.54418123585401E+00 -1.19497135366249E-04
z1 : 3.38367845164255E-01 4.56884271970216E-04
z2 : -1.15534147595243E+00 7.65190066838939E-01
z3 : 1.15242432235823E+00 7.61149453268136E-01
z4 : -3.38367845164255E-01 -4.56884271970175E-04
z5 : -1.54418123585401E+00 1.19497135366151E-04
z6 : -1.15242432235823E+00 -7.61149453268137E-01
z7 : 1.15534147595243E+00 -7.65190066838939E-01
zz1 : 1.60714565364089E-16 3.18950560541797E-17
== err : 2.025E-15 = rco : 1.654E-02 = res : 5.142E-15 ==
solution 43 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.66768765005132E-01 3.55667423836850E-01
z1 : 1.34960115839381E+00 1.79934546386613E+00
z2 : 3.55667423836850E-01 2.66768765005132E-01
z3 : 1.79934546386613E+00 -1.34960115839381E+00
z4 : 2.66768765005132E-01 -3.55667423836850E-01
z5 : -1.34960115839381E+00 -1.79934546386613E+00
z6 : -3.55667423836850E-01 -2.66768765005132E-01
z7 : -1.79934546386613E+00 1.34960115839381E+00
zz1 : 1.29621268679291E-16 -2.67179193784348E-16
== err : 4.094E-15 = rco : 3.273E-03 = res : 5.198E-15 ==
solution 44 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.42170619598892E+00 -3.44241625247330E+00
z1 : 6.06487524410953E-01 6.05639058426176E-01
z2 : 1.08189058656941E+00 1.08167382929857E+00
z3 : 1.11348858399104E-01 1.10856235585280E-01
z4 : -6.06487524410953E-01 -6.05639058426176E-01
z5 : 3.42170619598892E+00 3.44241625247330E+00
z6 : -1.11348858399104E-01 -1.10856235585280E-01
z7 : -1.08189058656941E+00 -1.08167382929857E+00
zz1 : 5.25674905211779E-16 -2.37587720199429E-16
== err : 4.785E-15 = rco : 4.657E-03 = res : 1.128E-14 ==
solution 45 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.09549921316490E+00 -1.08889068889054E+00
z1 : 2.27034479816018E-01 -2.52117395059223E-01
z2 : -2.81571569125500E-01 1.26403996182410E+00
z3 : 1.45229520985136E+00 -2.49148904883501E-01
z4 : -2.27034479816018E-01 2.52117395059223E-01
z5 : -1.09549921316490E+00 1.08889068889054E+00
z6 : -1.45229520985136E+00 2.49148904883501E-01
z7 : 2.81571569125500E-01 -1.26403996182410E+00
zz1 : -3.44263129491073E-16 -2.23012879908057E-16
== err : 4.547E-15 = rco : 1.627E-02 = res : 8.069E-15 ==
solution 46 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.69230197298350E-01 6.17367308561846E-01
z1 : -1.25656823331417E+00 4.25705962855178E-01
z2 : 1.36011084452549E+00 5.79268900890933E-01
z3 : 4.08921434741803E-01 5.78911530220034E-01
z4 : 1.25656823331417E+00 -4.25705962855178E-01
z5 : 3.69230197298350E-01 -6.17367308561846E-01
z6 : -4.08921434741803E-01 -5.78911530220034E-01
z7 : -1.36011084452549E+00 -5.79268900890933E-01
zz1 : -3.75227861520425E-16 1.78132050866085E-16
== err : 2.756E-15 = rco : 3.403E-02 = res : 5.038E-15 ==
solution 47 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.08259136067557E+00 9.13344086603756E-01
z1 : 3.14220281910080E-01 5.12141607350341E-01
z2 : 2.36437954106926E-01 -8.63347606694161E-01
z3 : 1.19976036852824E+00 -5.32610210653210E-01
z4 : -3.14220281910080E-01 -5.12141607350341E-01
z5 : -1.08259136067557E+00 -9.13344086603756E-01
z6 : -1.19976036852824E+00 5.32610210653210E-01
z7 : -2.36437954106926E-01 8.63347606694161E-01
zz1 : 3.56656464217386E-16 6.26671769341488E-17
== err : 3.074E-15 = rco : 3.379E-02 = res : 3.963E-15 ==
solution 48 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.49889791514970E-01 1.35575009271861E+00
z1 : -1.61968319092793E-01 6.46937704590667E-01
z2 : 7.81146846893142E-01 -3.56347881734637E-01
z3 : 1.22587841839474E+00 3.69530120896480E-01
z4 : 1.61968319092794E-01 -6.46937704590667E-01
z5 : -1.49889791514970E-01 -1.35575009271861E+00
z6 : -1.22587841839474E+00 -3.69530120896480E-01
z7 : -7.81146846893142E-01 3.56347881734637E-01
zz1 : -6.17639581637802E-16 -1.53637440588833E-17
== err : 3.398E-15 = rco : 3.207E-02 = res : 3.480E-15 ==
solution 49 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.38121731004314E+00 2.95890106151394E-01
z1 : -2.88263681371306E-01 1.38423852380302E+00
z2 : 2.94651618658014E-01 6.40143883696069E-01
z3 : 1.38121731004314E+00 -2.95890106151394E-01
z4 : 6.43695243345266E-01 3.00761461609751E-01
z5 : -2.94651618658014E-01 -6.40143883696069E-01
z6 : 2.88263681371306E-01 -1.38423852380302E+00
z7 : -6.43695243345266E-01 -3.00761461609751E-01
zz1 : 1.84535476831411E-16 -6.90308709734773E-17
== err : 2.976E-15 = rco : 1.519E-02 = res : 4.079E-15 ==
solution 50 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.07609697465584E+00 -1.09478269661800E+00
z1 : -2.88642012400459E-01 -2.38931824189611E-01
z2 : 1.18530495037281E+00 1.44103753907734E-01
z3 : -5.18835213770445E-02 -1.45506858508031E+00
z4 : 2.88642012400459E-01 2.38931824189611E-01
z5 : 1.07609697465584E+00 1.09478269661800E+00
z6 : 5.18835213770445E-02 1.45506858508031E+00
z7 : -1.18530495037281E+00 -1.44103753907734E-01
zz1 : -8.17734276033899E-17 1.41766638278680E-17
== err : 2.086E-15 = rco : 1.872E-02 = res : 3.866E-15 ==
solution 51 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.75697222348114E-01 -6.78599212646264E-01
z1 : 6.10805461319703E-01 -9.56651267090218E-01
z2 : -1.67690451191128E+00 4.62374299321919E-01
z3 : -6.88898684450044E-01 -5.98863997064429E-02
z4 : -6.10805461319704E-01 9.56651267090219E-01
z5 : 2.75697222348115E-01 6.78599212646263E-01
z6 : 6.88898684450044E-01 5.98863997064432E-02
z7 : 1.67690451191127E+00 -4.62374299321922E-01
zz1 : -4.19163545203948E-15 -8.84716671737145E-16
== err : 4.203E-15 = rco : 6.331E-03 = res : 4.008E-15 ==
solution 52 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.58152636873031E-01 -5.57332203967299E-01
z1 : -3.58944919020257E-01 -5.56833488576457E-01
z2 : -1.46178557966746E+00 -3.82608713458389E-01
z3 : -3.58152636873031E-01 5.57332203967299E-01
z4 : -1.45926546017479E+00 3.79746646935209E-01
z5 : 1.46178557966746E+00 3.82608713458389E-01
z6 : 3.58944919020257E-01 5.56833488576457E-01
z7 : 1.45926546017479E+00 -3.79746646935208E-01
zz1 : 2.83305006012209E-16 2.34380012992279E-16
== err : 1.980E-15 = rco : 5.590E-02 = res : 6.095E-15 ==
solution 53 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.94017518182473E-01 2.49655574043075E-02
z1 : 1.25139486904318E-02 -4.61380146434656E-01
z2 : 1.84456936172833E+00 -7.76211704879251E-01
z3 : 4.94017518182473E-01 -2.49655574043076E-02
z4 : 8.95847820127007E-01 -1.99696886790122E+00
z5 : -1.84456936172833E+00 7.76211704879252E-01
z6 : -1.25139486904316E-02 4.61380146434656E-01
z7 : -8.95847820127007E-01 1.99696886790122E+00
zz1 : -8.32220785147114E-17 -1.09026085906628E-15
== err : 4.148E-14 = rco : 2.538E-03 = res : 5.512E-15 ==
solution 54 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.63723151776400E+00 -3.89565854252603E-01
z1 : 5.78059566096063E-01 -1.37544547751347E-01
z2 : 3.89565854252603E-01 -1.63723151776401E+00
z3 : 1.37544547751347E-01 5.78059566096063E-01
z4 : 1.63723151776400E+00 3.89565854252603E-01
z5 : -5.78059566096063E-01 1.37544547751347E-01
z6 : -3.89565854252603E-01 1.63723151776401E+00
z7 : -1.37544547751347E-01 -5.78059566096063E-01
zz1 : 2.91986847635013E-16 -4.25664400436343E-16
== err : 3.535E-15 = rco : 2.362E-02 = res : 5.035E-15 ==
solution 55 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.19860255135745E+00 -9.29364119491701E-01
z1 : -1.36912131093717E+00 6.69160020847222E-01
z2 : -1.11816947436428E-01 7.57384671841715E-01
z3 : 1.19860255135745E+00 9.29364119491700E-01
z4 : 1.94583294398316E-01 5.30572141198911E-01
z5 : 1.11816947436428E-01 -7.57384671841715E-01
z6 : 1.36912131093717E+00 -6.69160020847222E-01
z7 : -1.94583294398316E-01 -5.30572141198911E-01
zz1 : 1.96327290770151E-17 2.61093696776770E-16
== err : 2.789E-15 = rco : 1.056E-02 = res : 5.597E-15 ==
solution 56 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.14479076380795E-01 -1.60360448792278E+00
z1 : -1.65863941410377E+00 -7.17513616055403E-01
z2 : -4.96286659157733E-01 5.81652607154663E-01
z3 : 1.14479076380795E-01 1.60360448792278E+00
z4 : -2.26560996572241E-01 3.88982716450894E-01
z5 : 4.96286659157733E-01 -5.81652607154663E-01
z6 : 1.65863941410377E+00 7.17513616055403E-01
z7 : 2.26560996572241E-01 -3.88982716450894E-01
zz1 : -1.38343256830220E-16 3.29362186383664E-16
== err : 2.799E-15 = rco : 7.289E-03 = res : 6.368E-15 ==
solution 57 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.92469595549449E-01 3.99808524086311E-02
z1 : 6.15716042339788E-01 -1.55813979696209E+00
z2 : -2.33230338148967E+00 1.37050621436283E+00
z3 : -2.98627924245196E-02 5.58501412016393E-01
z4 : -6.15716042339789E-01 1.55813979696209E+00
z5 : -3.92469595549449E-01 -3.99808524086312E-02
z6 : 2.98627924245196E-02 -5.58501412016394E-01
z7 : 2.33230338148967E+00 -1.37050621436283E+00
zz1 : -1.46997219876472E-15 2.39673428776806E-15
== err : 8.390E-15 = rco : 4.895E-03 = res : 9.875E-15 ==
solution 58 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.06445186868136E-02 3.43682324710942E-01
z1 : 2.88671310300524E+00 2.57394481089232E-01
z2 : 3.43682324710942E-01 -3.06445186868137E-02
z3 : 2.57394481089232E-01 -2.88671310300524E+00
z4 : -3.06445186868136E-02 -3.43682324710942E-01
z5 : -2.88671310300524E+00 -2.57394481089232E-01
z6 : -3.43682324710942E-01 3.06445186868136E-02
z7 : -2.57394481089232E-01 2.88671310300524E+00
zz1 : 5.30132398403025E-17 -1.07920036898612E-16
== err : 3.265E-14 = rco : 2.587E-03 = res : 7.605E-15 ==
solution 59 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.09326221348068E+00 1.08666868858669E+00
z1 : 2.36159730837354E-01 2.58190444008622E-01
z2 : -1.42095823350674E+00 -1.97076941197168E-01
z3 : 2.30521338922897E-01 1.27168775235607E+00
z4 : -2.36159730837354E-01 -2.58190444008622E-01
z5 : -1.09326221348068E+00 -1.08666868858669E+00
z6 : -2.30521338922896E-01 -1.27168775235607E+00
z7 : 1.42095823350673E+00 1.97076941197169E-01
zz1 : 1.72165445066817E-16 1.00712174389104E-17
== err : 1.961E-15 = rco : 2.617E-02 = res : 4.608E-15 ==
solution 60 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.40315790021140E-01 -1.23467751041096E-01
z1 : 1.69143255958839E+00 -3.29217911881837E+00
z2 : -1.23467751041096E-01 -2.40315790021140E-01
z3 : -3.29217911881837E+00 -1.69143255958839E+00
z4 : -2.40315790021140E-01 1.23467751041096E-01
z5 : -1.69143255958839E+00 3.29217911881837E+00
z6 : 1.23467751041096E-01 2.40315790021140E-01
z7 : 3.29217911881837E+00 1.69143255958839E+00
zz1 : -9.58478153447503E-17 2.98924600365906E-16
== err : 2.360E-14 = rco : 8.030E-04 = res : 9.205E-15 ==
solution 61 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 4.08870583348863E+00 3.15286588124834E-01
z1 : -8.94142821780611E-01 1.97790870338044E-02
z2 : -1.53800524529952E+00 3.35228248048101E-03
z3 : -1.77032206637832E-01 9.33159451110533E-03
z4 : 8.94142821780611E-01 -1.97790870338043E-02
z5 : -4.08870583348863E+00 -3.15286588124834E-01
z6 : 1.77032206637832E-01 -9.33159451110533E-03
z7 : 1.53800524529952E+00 -3.35228248048097E-03
zz1 : 2.79019934273402E-16 1.87111967811679E-16
== err : 5.577E-15 = rco : 1.988E-03 = res : 8.884E-15 ==
solution 62 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.77260858141137E+00 -3.43237765652848E+00
z1 : 1.21046563187306E-01 8.63843660777279E-01
z2 : -6.10733620966335E-02 -1.81813078848723E-01
z3 : -2.07662018935125E-02 -1.54713802875766E+00
z4 : -1.21046563187306E-01 -8.63843660777279E-01
z5 : -1.77260858141137E+00 3.43237765652848E+00
z6 : 2.07662018935125E-02 1.54713802875766E+00
z7 : 6.10733620966335E-02 1.81813078848723E-01
zz1 : -1.10024531457953E-15 -1.82652537234286E-16
== err : 6.846E-15 = rco : 2.684E-03 = res : 6.497E-15 ==
solution 63 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.09531065975819E-01 1.53502564238123E+00
z1 : -1.42442778691450E+00 7.04503289291240E-01
z2 : -6.16934139748692E-01 -5.88489589026958E-01
z3 : 1.09531065975819E-01 -1.53502564238123E+00
z4 : -1.75097504931059E-01 -4.46492511806167E-01
z5 : 6.16934139748692E-01 5.88489589026958E-01
z6 : 1.42442778691450E+00 -7.04503289291240E-01
z7 : 1.75097504931059E-01 4.46492511806167E-01
zz1 : 4.11275463257036E-16 3.49932984619095E-17
== err : 2.457E-15 = rco : 1.809E-02 = res : 4.688E-15 ==
solution 64 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.75419212412440E-01 1.73270833165134E-01
z1 : -6.76717041567904E-01 1.85677114290593E+00
z2 : 1.73270833165134E-01 4.75419212412440E-01
z3 : 1.85677114290593E+00 6.76717041567904E-01
z4 : 4.75419212412440E-01 -1.73270833165134E-01
z5 : 6.76717041567904E-01 -1.85677114290593E+00
z6 : -1.73270833165134E-01 -4.75419212412440E-01
z7 : -1.85677114290593E+00 -6.76717041567904E-01
zz1 : 2.18736319998409E-16 -1.99262465045758E-16
== err : 1.101E-14 = rco : 6.555E-03 = res : 6.566E-15 ==
solution 65 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -8.27768185782939E-01 9.98236587607617E-01
z1 : -5.90614419079698E-01 4.12654930831624E-01
z2 : 8.06288928389404E-01 3.87015405751319E-01
z3 : 6.04956515851201E-01 1.03253282045560E+00
z4 : 5.90614419079698E-01 -4.12654930831623E-01
z5 : 8.27768185782939E-01 -9.98236587607618E-01
z6 : -6.04956515851201E-01 -1.03253282045560E+00
z7 : -8.06288928389404E-01 -3.87015405751319E-01
zz1 : -3.84995936053374E-16 1.32316881247535E-15
== err : 6.996E-15 = rco : 2.987E-02 = res : 5.693E-15 ==
solution 66 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 8.40325254397599E-01 -2.94413391058581E-01
z1 : -2.62259931386683E+00 1.81037606042975E+00
z2 : -4.51698540117746E-01 4.57024404212736E-01
z3 : -8.40325254397599E-01 2.94413391058581E-01
z4 : 8.82658833612900E-02 -5.41300412026380E-01
z5 : 4.51698540117746E-01 -4.57024404212736E-01
z6 : 2.62259931386683E+00 -1.81037606042975E+00
z7 : -8.82658833612902E-02 5.41300412026380E-01
zz1 : 2.20041910411706E-16 3.40273086674075E-16
== err : 5.476E-15 = rco : 9.501E-03 = res : 6.526E-15 ==
solution 67 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.48464819701790E+00 7.48081038354408E-01
z1 : 2.70670651736498E-01 -5.37175351978206E-01
z2 : -7.48081038354408E-01 -1.48464819701790E+00
z3 : 5.37175351978206E-01 2.70670651736498E-01
z4 : 1.48464819701790E+00 -7.48081038354408E-01
z5 : -2.70670651736498E-01 5.37175351978206E-01
z6 : 7.48081038354408E-01 1.48464819701790E+00
z7 : -5.37175351978206E-01 -2.70670651736498E-01
zz1 : 8.25917012761994E-17 8.75340626384029E-17
== err : 3.048E-15 = rco : 2.016E-02 = res : 3.460E-15 ==
solution 68 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.66948195275890E+00 -3.70172246356077E+00
z1 : 9.15684772236301E-02 1.31037661734172E-01
z2 : 5.03967143157801E-02 1.53382742475128E+00
z3 : -3.66948195275890E+00 3.70172246356077E+00
z4 : -1.07779910187618E-01 -7.74557551694861E-01
z5 : -5.03967143157799E-02 -1.53382742475128E+00
z6 : -9.15684772236301E-02 -1.31037661734172E-01
z7 : 1.07779910187618E-01 7.74557551694861E-01
zz1 : -4.34750704684762E-16 -7.19911006765699E-17
== err : 5.542E-15 = rco : 1.868E-03 = res : 1.315E-14 ==
solution 69 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.90077871877585E-01 1.29586548393403E+00
z1 : -6.39157352060141E-01 -2.91043024738639E-01
z2 : -1.29586548393403E+00 5.90077871877584E-01
z3 : 2.91043024738639E-01 -6.39157352060141E-01
z4 : -5.90077871877585E-01 -1.29586548393403E+00
z5 : 6.39157352060141E-01 2.91043024738639E-01
z6 : 1.29586548393403E+00 -5.90077871877585E-01
z7 : -2.91043024738639E-01 6.39157352060142E-01
zz1 : -3.92395782936540E-16 6.77145799290276E-17
== err : 4.165E-15 = rco : 2.255E-02 = res : 4.027E-15 ==
solution 70 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.00919146298272E-01 4.71388298249353E-02
z1 : 9.56944015813626E+00 3.77670342213377E+00
z2 : 6.69119597506809E-01 1.12215318853857E-02
z3 : 1.00919146298272E-01 -4.71388298249354E-02
z4 : -1.30274557848239E+00 -5.77661312059083E-02
z5 : -6.69119597506809E-01 -1.12215318853856E-02
z6 : -9.56944015813626E+00 -3.77670342213377E+00
z7 : 1.30274557848239E+00 5.77661312059080E-02
zz1 : 6.26477133945218E-15 -2.53926520747628E-15
== err : 2.573E-14 = rco : 2.414E-04 = res : 2.098E-14 ==
solution 71 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.04361187127295E-01 4.18458655344560E-01
z1 : -1.37819954329716E+00 7.19544435773725E-01
z2 : -5.75707013198274E-01 -3.55162073014118E-03
z3 : -1.70696075654146E+00 1.94855983914543E+00
z4 : 1.37819954329716E+00 -7.19544435773725E-01
z5 : -1.04361187127296E-01 -4.18458655344561E-01
z6 : 1.70696075654146E+00 -1.94855983914543E+00
z7 : 5.75707013198274E-01 3.55162073014110E-03
zz1 : 2.85219125292704E-15 4.09016497792587E-15
== err : 1.481E-14 = rco : 2.522E-03 = res : 1.181E-14 ==
solution 72 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -7.28360496798361E-01 2.06687580650225E-01
z1 : -1.10373620135805E+00 -5.18258532273338E-01
z2 : 4.32933364346662E-01 1.42851450197243E+00
z3 : -9.53504484158601E-02 7.19379996342616E-01
z4 : 1.10373620135805E+00 5.18258532273338E-01
z5 : 7.28360496798361E-01 -2.06687580650224E-01
z6 : 9.53504484158600E-02 -7.19379996342617E-01
z7 : -4.32933364346662E-01 -1.42851450197243E+00
zz1 : 1.10889327997888E-15 -4.23747911424142E-16
== err : 3.285E-15 = rco : 1.762E-02 = res : 5.010E-15 ==
solution 73 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.75809255036123E-01 -3.39591603542600E-01
z1 : 1.35930999946665E+00 5.43831573469732E-01
z2 : 4.28395859957517E-01 4.11049138292463E-01
z3 : 3.00440059138117E+00 -1.57057343807383E-01
z4 : -1.35930999946665E+00 -5.43831573469732E-01
z5 : -1.75809255036123E-01 3.39591603542600E-01
z6 : -3.00440059138117E+00 1.57057343807383E-01
z7 : -4.28395859957517E-01 -4.11049138292462E-01
zz1 : -5.03989726445352E-16 -2.53528344317333E-16
== err : 2.307E-15 = rco : 1.861E-02 = res : 9.000E-15 ==
solution 74 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.02029734214863E+00 4.44627055087870E-01
z1 : -1.72902700495412E-02 1.66212374653956E-01
z2 : -1.04644463104024E+00 1.12947954287780E+00
z3 : -5.02029734214863E+00 -4.44627055087869E-01
z4 : 4.55275191635567E-01 -6.22389608900077E-01
z5 : 1.04644463104024E+00 -1.12947954287780E+00
z6 : 1.72902700495412E-02 -1.66212374653956E-01
z7 : -4.55275191635567E-01 6.22389608900077E-01
zz1 : -5.08883539186814E-16 1.36132668146715E-15
== err : 7.771E-15 = rco : 2.240E-03 = res : 1.529E-14 ==
solution 75 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 6.26105199062556E-01 -2.26439098592788E-01
z1 : 1.02265448617977E+00 7.52166705106367E-01
z2 : -7.00296054498121E-01 -1.63737428564675E+00
z3 : 7.75660471020389E-02 -6.59823555397854E-01
z4 : -1.02265448617977E+00 -7.52166705106367E-01
z5 : -6.26105199062556E-01 2.26439098592788E-01
z6 : -7.75660471020387E-02 6.59823555397854E-01
z7 : 7.00296054498121E-01 1.63737428564675E+00
zz1 : -3.05358662946433E-16 7.36665486740722E-16
== err : 4.698E-15 = rco : 1.403E-02 = res : 3.330E-15 ==
solution 76 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.40621419668972E-01 1.46355299742474E-01
z1 : 3.03360873163314E+00 -1.84515873869564E+00
z2 : 1.46355299742474E-01 -2.40621419668972E-01
z3 : -1.84515873869564E+00 -3.03360873163314E+00
z4 : -2.40621419668972E-01 -1.46355299742474E-01
z5 : -3.03360873163314E+00 1.84515873869564E+00
z6 : -1.46355299742474E-01 2.40621419668972E-01
z7 : 1.84515873869564E+00 3.03360873163314E+00
zz1 : -1.77957625234327E-16 1.95028610386978E-16
== err : 2.609E-14 = rco : 1.536E-03 = res : 1.251E-14 ==
solution 77 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.58723742302797E-01 -2.22384193276934E+00
z1 : -1.11135636853322E+00 -1.12892814636370E+00
z2 : -2.93768385216747E-01 -1.12844564658090E-01
z3 : -1.58723742302797E-01 2.22384193276934E+00
z4 : -8.48333925594052E-01 -2.99660449985281E-01
z5 : 2.93768385216747E-01 1.12844564658090E-01
z6 : 1.11135636853322E+00 1.12892814636370E+00
z7 : 8.48333925594052E-01 2.99660449985281E-01
zz1 : 1.88341382206345E-16 4.89446646852425E-17
== err : 2.268E-15 = rco : 6.766E-03 = res : 4.572E-15 ==
solution 78 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.83901912968149E-01 -3.32997896695928E-01
z1 : -1.67502920147549E+00 6.11177414653847E-01
z2 : 2.31880548211017E+00 5.85654772092418E-01
z3 : 3.87564299187535E-01 -3.70094223167548E-01
z4 : 1.67502920147549E+00 -6.11177414653847E-01
z5 : 2.83901912968149E-01 3.32997896695928E-01
z6 : -3.87564299187535E-01 3.70094223167548E-01
z7 : -2.31880548211017E+00 -5.85654772092418E-01
zz1 : 1.47125899656799E-16 7.19057707362340E-16
== err : 1.043E-14 = rco : 1.650E-02 = res : 6.391E-15 ==
solution 79 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.00121953226716E+00 5.94569688026530E-01
z1 : 1.12139806114539E-01 1.67075564344859E+00
z2 : 2.49644856777169E-01 1.59699014636219E-01
z3 : 3.00121953226715E+00 -5.94569688026530E-01
z4 : 1.98729249745421E-01 6.27933115919774E-01
z5 : -2.49644856777169E-01 -1.59699014636219E-01
z6 : -1.12139806114539E-01 -1.67075564344859E+00
z7 : -1.98729249745421E-01 -6.27933115919774E-01
zz1 : -4.95631388882837E-16 3.66882556089133E-16
== err : 9.130E-15 = rco : 3.061E-03 = res : 5.016E-15 ==
solution 80 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.38217381871689E+00 -4.32997448289679E+00
z1 : 1.11851423155893E-01 -8.22179469837189E-02
z2 : 1.51904246046853E+00 -5.14541361173401E-02
z3 : 4.38217381871689E+00 4.32997448289679E+00
z4 : -7.64544008091730E-01 8.57360703592400E-02
z5 : -1.51904246046853E+00 5.14541361173400E-02
z6 : -1.11851423155893E-01 8.22179469837190E-02
z7 : 7.64544008091730E-01 -8.57360703592397E-02
zz1 : -5.29095229818791E-15 3.25734404831202E-15
== err : 4.091E-14 = rco : 9.328E-04 = res : 1.689E-14 ==
solution 81 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 9.38190696149134E-01 4.99201424802289E-01
z1 : -2.83667213547628E+00 -1.06663798709363E+00
z2 : -6.34809783661467E-01 8.16704062711636E-03
z3 : -9.38190696149134E-01 -4.99201424802289E-01
z4 : 3.27966852112131E-01 -3.62802821030771E-01
z5 : 6.34809783661467E-01 -8.16704062711628E-03
z6 : 2.83667213547629E+00 1.06663798709362E+00
z7 : -3.27966852112132E-01 3.62802821030771E-01
zz1 : -6.42716489312093E-16 -3.07961816925750E-15
== err : 2.902E-14 = rco : 5.653E-03 = res : 5.351E-15 ==
solution 82 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.65747941078113E-01 -2.93879242586904E-01
z1 : -1.87199758498476E+00 -1.69280245700167E+00
z2 : -2.93879242586904E-01 2.65747941078113E-01
z3 : -1.69280245700167E+00 1.87199758498476E+00
z4 : 2.65747941078113E-01 2.93879242586904E-01
z5 : 1.87199758498476E+00 1.69280245700167E+00
z6 : 2.93879242586904E-01 -2.65747941078113E-01
z7 : 1.69280245700167E+00 -1.87199758498476E+00
zz1 : -5.18459600988841E-17 -7.48606942697998E-17
== err : 1.946E-14 = rco : 2.039E-03 = res : 8.349E-15 ==
solution 83 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.64230584079884E+00 -1.01935233761224E-01
z1 : -7.10233617639800E-01 -1.79959638147056E+00
z2 : 5.79444005681415E-01 -4.38147287934371E-01
z3 : 1.64230584079884E+00 1.01935233761225E-01
z4 : 3.54558313158910E-01 -2.47523699441094E-01
z5 : -5.79444005681415E-01 4.38147287934370E-01
z6 : 7.10233617639800E-01 1.79959638147056E+00
z7 : -3.54558313158910E-01 2.47523699441094E-01
zz1 : 4.43637545951708E-16 3.47118173484302E-16
== err : 4.689E-15 = rco : 1.010E-02 = res : 7.102E-15 ==
solution 84 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 6.74553087551876E-01 1.20526072157877E+00
z1 : 1.48077912754848E+00 7.10948205126929E-02
z2 : 4.90765615449545E-01 -1.02722903136390E-01
z3 : -6.74553087551876E-01 -1.20526072157877E+00
z4 : 6.03788006687579E-01 -7.64313230504314E-01
z5 : -4.90765615449545E-01 1.02722903136390E-01
z6 : -1.48077912754848E+00 -7.10948205126930E-02
z7 : -6.03788006687578E-01 7.64313230504314E-01
zz1 : -4.17858582154867E-16 5.40036121935126E-16
== err : 4.974E-15 = rco : 2.072E-02 = res : 4.321E-15 ==
solution 85 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.25582175632495E-01 -5.67969323643771E+00
z1 : 1.45184207163622E-01 2.81475374228092E-02
z2 : 1.11305932748717E+00 1.04478627339733E+00
z3 : 2.25582175632497E-01 5.67969323643771E+00
z4 : -6.13099270250557E-01 -4.80982902979134E-01
z5 : -1.11305932748717E+00 -1.04478627339733E+00
z6 : -1.45184207163622E-01 -2.81475374228091E-02
z7 : 6.13099270250557E-01 4.80982902979134E-01
zz1 : 1.88778976587075E-15 -2.28306248033310E-15
== err : 2.269E-14 = rco : 1.514E-03 = res : 1.454E-14 ==
solution 86 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.03501478059432E+00 4.33167694694205E+00
z1 : -1.17619215832987E-01 1.12704698756960E-01
z2 : -1.53458282639294E+00 6.85617364407763E-02
z3 : -3.03501478059432E+00 -4.33167694694205E+00
z4 : 7.46974952468088E-01 -1.13595912374049E-01
z5 : 1.53458282639294E+00 -6.85617364407763E-02
z6 : 1.17619215832987E-01 -1.12704698756960E-01
z7 : -7.46974952468088E-01 1.13595912374049E-01
zz1 : -4.09826813021395E-16 -3.74585671241609E-16
== err : 8.526E-15 = rco : 1.712E-03 = res : 9.135E-15 ==
solution 87 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.66274223988367E-01 -6.65397544771330E-01
z1 : -6.71094134017202E-01 -1.23898477258867E-01
z2 : -1.37632677927068E+00 6.67132042421073E-01
z3 : 1.66274223988367E-01 6.65397544771330E-01
z4 : -6.86373796561162E-01 1.21661453111680E+00
z5 : 1.37632677927068E+00 -6.67132042421073E-01
z6 : 6.71094134017201E-01 1.23898477258867E-01
z7 : 6.86373796561162E-01 -1.21661453111680E+00
zz1 : 3.27869895104974E-16 -3.29925425034097E-16
== err : 9.582E-15 = rco : 8.495E-03 = res : 5.989E-15 ==
solution 88 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.62171336556247E-01 -3.13034524967104E-01
z1 : 3.53475448161194E-01 -3.08765139308555E-01
z2 : 1.90650189686545E+00 8.42344231761712E-01
z3 : 3.62171336556247E-01 3.13034524967104E-01
z4 : 1.95775687716043E+00 -8.52771880095050E-01
z5 : -1.90650189686545E+00 -8.42344231761712E-01
z6 : -3.53475448161194E-01 3.08765139308555E-01
z7 : -1.95775687716043E+00 8.52771880095049E-01
zz1 : 5.84567229451444E-16 -7.18296120732352E-16
== err : 5.149E-15 = rco : 9.595E-03 = res : 8.383E-15 ==
solution 89 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.37511146513406E-01 3.19526718327529E-01
z1 : 1.51412384617147E+00 -6.17876627942496E-01
z2 : -2.66149748944314E+00 -5.48109984235674E-01
z3 : -4.14630138406393E-01 3.84132457918574E-01
z4 : -1.51412384617147E+00 6.17876627942497E-01
z5 : -2.37511146513407E-01 -3.19526718327529E-01
z6 : 4.14630138406393E-01 -3.84132457918574E-01
z7 : 2.66149748944314E+00 5.48109984235673E-01
zz1 : -1.10337874086230E-15 -6.41203411143185E-16
== err : 8.187E-15 = rco : 1.272E-02 = res : 8.943E-15 ==
solution 90 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.35022738078804E-01 6.33846744723881E-01
z1 : 1.04163770522542E+00 -1.69465653743513E-02
z2 : 4.42853768439633E-01 -4.81553301229216E-01
z3 : 1.96765311843728E+00 -1.11983776132852E+00
z4 : -1.04163770522542E+00 1.69465653743512E-02
z5 : -1.35022738078805E-01 -6.33846744723881E-01
z6 : -1.96765311843728E+00 1.11983776132852E+00
z7 : -4.42853768439634E-01 4.81553301229217E-01
zz1 : -6.97691166733990E-16 3.95233682872317E-17
== err : 3.922E-15 = rco : 5.026E-02 = res : 5.084E-15 ==
solution 91 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.42616072949928E+00 -7.02229622739073E-02
z1 : 5.57817815417777E-01 8.72774056427725E-02
z2 : -5.09726472157973E-01 -8.36645002615633E-01
z3 : 5.40648821327597E-01 -1.14487454052982E+00
z4 : -5.57817815417778E-01 -8.72774056427726E-02
z5 : -1.42616072949928E+00 7.02229622739074E-02
z6 : -5.40648821327597E-01 1.14487454052982E+00
z7 : 5.09726472157973E-01 8.36645002615633E-01
zz1 : 4.80653206516236E-16 1.14216530106016E-16
== err : 6.667E-15 = rco : 2.368E-02 = res : 5.773E-15 ==
solution 92 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.11832402294768E-01 1.49497740339171E-01
z1 : -6.89879005263721E-01 -1.25580857691542E+00
z2 : 9.66909087928753E-03 -5.94445519244225E-01
z3 : -1.79975205685585E+00 -1.98495797808161E+00
z4 : 6.89879005263720E-01 1.25580857691542E+00
z5 : 4.11832402294768E-01 -1.49497740339170E-01
z6 : 1.79975205685585E+00 1.98495797808161E+00
z7 : -9.66909087928724E-03 5.94445519244225E-01
zz1 : 2.62604637846380E-17 1.34059357944967E-15
== err : 6.658E-15 = rco : 9.721E-03 = res : 6.647E-15 ==
solution 93 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.28515879243490E+00 -4.01033841208373E+00
z1 : 6.74447573011116E-01 5.24713315147167E-01
z2 : -1.62262610203925E-01 -7.82419803776663E-02
z3 : -1.10698026295384E+00 -1.07435197605139E+00
z4 : -6.74447573011116E-01 -5.24713315147167E-01
z5 : 1.28515879243490E+00 4.01033841208373E+00
z6 : 1.10698026295384E+00 1.07435197605139E+00
z7 : 1.62262610203925E-01 7.82419803776663E-02
zz1 : -7.23308392365359E-16 -5.62818946116116E-16
== err : 5.677E-15 = rco : 4.031E-03 = res : 9.903E-15 ==
solution 94 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.47651711233842E-01 2.16150762069116E-01
z1 : -5.28969701467974E-01 1.46477225907760E+00
z2 : -4.02371114605296E-01 4.12976547725002E-01
z3 : 2.83504641521431E-01 2.70558172292038E+00
z4 : 5.28969701467975E-01 -1.46477225907760E+00
z5 : -3.47651711233842E-01 -2.16150762069116E-01
z6 : -2.83504641521430E-01 -2.70558172292038E+00
z7 : 4.02371114605296E-01 -4.12976547725002E-01
zz1 : 2.59461088967771E-15 3.30261273863007E-16
== err : 4.973E-15 = rco : 3.786E-03 = res : 8.406E-15 ==
solution 95 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.77148485990215E-01 -9.78885668020144E-02
z1 : 6.05028257755633E-01 1.39216266341098E+00
z2 : 1.35259897045940E-02 5.84672880413083E-01
z3 : 2.23507724573094E+00 1.83361785776274E+00
z4 : -6.05028257755634E-01 -1.39216266341098E+00
z5 : -3.77148485990215E-01 9.78885668020146E-02
z6 : -2.23507724573094E+00 -1.83361785776274E+00
z7 : -1.35259897045940E-02 -5.84672880413083E-01
zz1 : -1.41274538670501E-16 1.03356730290046E-15
== err : 2.842E-15 = rco : 1.191E-02 = res : 9.236E-15 ==
solution 96 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.50415438872383E-02 -1.59926084566979E+00
z1 : 1.79215150514502E+00 -1.22974479274310E+00
z2 : 4.03647098932415E-01 7.43704460272799E-01
z3 : -2.50415438872383E-02 1.59926084566979E+00
z4 : 1.59324641585351E-01 3.00292900747805E-01
z5 : -4.03647098932415E-01 -7.43704460272799E-01
z6 : -1.79215150514502E+00 1.22974479274310E+00
z7 : -1.59324641585351E-01 -3.00292900747805E-01
zz1 : -2.58344206328734E-16 1.37604410043912E-16
== err : 5.192E-15 = rco : 1.048E-02 = res : 7.513E-15 ==
solution 97 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.22705275561223E-03 -1.32598236924136E-01
z1 : -8.51091027816865E+00 1.21848246357499E+00
z2 : -4.85257758823945E-01 4.54861848244271E-01
z3 : -3.22705275561222E-03 1.32598236924136E-01
z4 : 1.00851746259451E+00 -8.49204523507821E-01
z5 : 4.85257758823945E-01 -4.54861848244271E-01
z6 : 8.51091027816865E+00 -1.21848246357499E+00
z7 : -1.00851746259451E+00 8.49204523507821E-01
zz1 : 1.32388560013301E-16 -4.12830386887721E-16
== err : 1.510E-14 = rco : 4.954E-04 = res : 1.905E-14 ==
solution 98 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.52006163780794E+00 -8.65620673677314E-01
z1 : -5.05552862856059E-01 7.14001555073608E-01
z2 : 8.36449592192218E-02 -1.85036283276192E-01
z3 : 1.08239069686829E+00 -1.11344623996733E+00
z4 : 5.05552862856059E-01 -7.14001555073608E-01
z5 : -3.52006163780794E+00 8.65620673677315E-01
z6 : -1.08239069686829E+00 1.11344623996733E+00
z7 : -8.36449592192218E-02 1.85036283276192E-01
zz1 : 8.95118203473899E-17 3.37748057867990E-16
== err : 4.220E-15 = rco : 5.129E-03 = res : 1.019E-14 ==
solution 99 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.64415288867452E-01 -1.76809757896503E-01
z1 : -5.42298431655469E-02 -1.18448895684972E+00
z2 : -4.79011312520109E-01 -4.23490898602404E-01
z3 : -8.16069767758522E-01 -2.07547822076208E+00
z4 : 5.42298431655471E-02 1.18448895684972E+00
z5 : -5.64415288867452E-01 1.76809757896503E-01
z6 : 8.16069767758521E-01 2.07547822076208E+00
z7 : 4.79011312520109E-01 4.23490898602404E-01
zz1 : -7.76994889516379E-16 -5.67563232606055E-16
== err : 7.603E-15 = rco : 8.101E-03 = res : 5.199E-15 ==
solution 100 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.75724842060272E-01 -9.65522176184355E-02
z1 : -2.01889321361266E+00 4.09750762783196E-01
z2 : -9.65522176184356E-02 4.75724842060272E-01
z3 : 4.09750762783196E-01 2.01889321361266E+00
z4 : 4.75724842060272E-01 9.65522176184356E-02
z5 : 2.01889321361266E+00 -4.09750762783197E-01
z6 : 9.65522176184356E-02 -4.75724842060272E-01
z7 : -4.09750762783197E-01 -2.01889321361266E+00
zz1 : -2.34952793915123E-16 3.33697268800763E-16
== err : 1.066E-14 = rco : 3.924E-03 = res : 5.784E-15 ==
solution 101 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -6.36599799559652E+00 -4.42320586789189E-01
z1 : 1.11048899242632E-02 -1.35655024382430E-01
z2 : 1.03074577068696E+00 -1.11276596083435E+00
z3 : 6.36599799559652E+00 4.42320586789188E-01
z4 : -4.72904247777897E-01 5.93738364157638E-01
z5 : -1.03074577068696E+00 1.11276596083435E+00
z6 : -1.11048899242632E-02 1.35655024382430E-01
z7 : 4.72904247777897E-01 -5.93738364157638E-01
zz1 : 1.12235643996769E-15 -2.77551931678862E-15
== err : 2.230E-14 = rco : 1.441E-03 = res : 1.303E-14 ==
solution 102 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -7.71489506605070E-01 4.51337235780011E+00
z1 : -3.63190440007716E-02 -8.64499765305344E-01
z2 : -8.30214654866418E-03 -1.53335921501469E+00
z3 : -2.00153350158219E-02 -1.63385082009882E-01
z4 : 3.63190440007716E-02 8.64499765305344E-01
z5 : 7.71489506605071E-01 -4.51337235780011E+00
z6 : 2.00153350158219E-02 1.63385082009882E-01
z7 : 8.30214654866420E-03 1.53335921501469E+00
zz1 : 4.63870349529951E-16 2.19610500594515E-16
== err : 9.745E-15 = rco : 1.758E-03 = res : 7.361E-15 ==
solution 103 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -5.01579584213425E+00 3.70549219692505E+00
z1 : -9.78155799057355E-02 -1.00893573883564E-01
z2 : -6.57088074400530E-02 -1.51725912743536E+00
z3 : 5.01579584213426E+00 -3.70549219692505E+00
z4 : 9.09462567851535E-02 7.45866182486223E-01
z5 : 6.57088074400532E-02 1.51725912743536E+00
z6 : 9.78155799057355E-02 1.00893573883564E-01
z7 : -9.09462567851535E-02 -7.45866182486223E-01
zz1 : 6.29007032729067E-16 -4.85072495754234E-16
== err : 1.037E-14 = rco : 1.784E-03 = res : 1.531E-14 ==
solution 104 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.99007495259894E+00 -2.97948987429055E+00
z1 : -6.27638347583887E-01 6.28256081926557E-01
z2 : -1.08646669868556E+00 1.08657933791825E+00
z3 : -1.22611136193115E-01 1.22913000809652E-01
z4 : 6.27638347583887E-01 -6.28256081926557E-01
z5 : -2.99007495259894E+00 2.97948987429055E+00
z6 : 1.22611136193115E-01 -1.22913000809652E-01
z7 : 1.08646669868556E+00 -1.08657933791825E+00
zz1 : -2.45672560244968E-16 1.59938693554142E-16
== err : 8.407E-15 = rco : 4.270E-03 = res : 9.352E-15 ==
solution 105 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -7.29957983766334E-01 1.40788167613865E-01
z1 : -1.49363223868259E-01 7.30809350731839E-01
z2 : 4.78989309092771E-01 1.24351531595817E+00
z3 : 7.29957983766334E-01 -1.40788167613865E-01
z4 : 1.26814523509226E+00 4.72420104669235E-01
z5 : -4.78989309092771E-01 -1.24351531595817E+00
z6 : 1.49363223868259E-01 -7.30809350731839E-01
z7 : -1.26814523509226E+00 -4.72420104669235E-01
zz1 : -1.82694365884195E-16 1.00508713448043E-15
== err : 7.630E-15 = rco : 1.401E-02 = res : 3.628E-15 ==
solution 106 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.57267242691835E-01 3.94163036999439E+00
z1 : -6.82628984422071E-01 -4.69658377827022E-01
z2 : 1.87679623693563E-01 5.71371455435108E-02
z3 : 1.12338789776290E+00 1.07421760478713E+00
z4 : 6.82628984422071E-01 4.69658377827022E-01
z5 : -3.57267242691836E-01 -3.94163036999439E+00
z6 : -1.12338789776290E+00 -1.07421760478713E+00
z7 : -1.87679623693563E-01 -5.71371455435108E-02
zz1 : -5.24629915059972E-16 -5.99980266225023E-18
== err : 7.624E-15 = rco : 5.381E-03 = res : 1.196E-14 ==
solution 107 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -5.71795611085986E-01 1.22020197139936E+00
z1 : 9.01038792756027E-01 1.10381703461528E+00
z2 : 5.29603354935973E-01 2.94587736857877E-01
z3 : 5.71795611085986E-01 -1.22020197139936E+00
z4 : 8.30238677290437E-01 -2.21968754016817E-01
z5 : -5.29603354935973E-01 -2.94587736857877E-01
z6 : -9.01038792756027E-01 -1.10381703461528E+00
z7 : -8.30238677290437E-01 2.21968754016816E-01
zz1 : -2.59732795132133E-16 1.61525342375753E-16
== err : 2.723E-15 = rco : 9.365E-03 = res : 2.572E-15 ==
solution 108 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.61674254842550E-01 5.94344095719455E-01
z1 : 6.78309986104526E-01 7.64696887790498E-01
z2 : 6.64729148778346E-01 -2.91394661207303E-02
z3 : 2.06109177742757E+00 4.66847949134731E-01
z4 : -6.78309986104526E-01 -7.64696887790498E-01
z5 : 3.61674254842549E-01 -5.94344095719454E-01
z6 : -2.06109177742757E+00 -4.66847949134732E-01
z7 : -6.64729148778345E-01 2.91394661207304E-02
zz1 : -2.10628643225899E-16 -3.75221546785911E-16
== err : 1.138E-14 = rco : 9.811E-03 = res : 8.670E-15 ==
solution 109 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.53027409305549E+00 3.41857041230384E+00
z1 : -6.48981753530487E-01 -5.98458158990719E-01
z2 : -1.09143803333185E+00 -1.08187533720858E+00
z3 : -1.34536776768901E-01 -1.09251743007160E-01
z4 : 6.48981753530487E-01 5.98458158990719E-01
z5 : -2.53027409305549E+00 -3.41857041230384E+00
z6 : 1.34536776768901E-01 1.09251743007160E-01
z7 : 1.09143803333185E+00 1.08187533720858E+00
zz1 : 2.74883066325847E-16 5.51588734343037E-16
== err : 4.869E-15 = rco : 3.412E-03 = res : 9.119E-15 ==
solution 110 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.21640946781695E-01 -1.45051371718531E+00
z1 : 1.02939681440331E-01 6.73681565342496E-01
z2 : 1.45051371718531E+00 2.21640946781695E-01
z3 : -6.73681565342496E-01 1.02939681440331E-01
z4 : -2.21640946781695E-01 1.45051371718531E+00
z5 : -1.02939681440330E-01 -6.73681565342495E-01
z6 : -1.45051371718531E+00 -2.21640946781695E-01
z7 : 6.73681565342496E-01 -1.02939681440331E-01
zz1 : -2.18855029775519E-16 3.31316328884240E-16
== err : 1.652E-15 = rco : 2.793E-02 = res : 3.747E-15 ==
solution 111 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.86039734081357E+00 -2.26008293039528E+00
z1 : 8.29551311288216E-01 -1.05141749533411E-01
z2 : -1.60815660346640E-01 6.52618430519146E-02
z3 : -1.54014484339694E+00 2.78337198235653E-02
z4 : -8.29551311288216E-01 1.05141749533411E-01
z5 : 3.86039734081357E+00 2.26008293039528E+00
z6 : 1.54014484339694E+00 -2.78337198235649E-02
z7 : 1.60815660346640E-01 -6.52618430519147E-02
zz1 : 7.71922945246073E-16 2.67248181007375E-16
== err : 5.978E-15 = rco : 1.538E-03 = res : 9.594E-15 ==
solution 112 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.69790045484382E+00 3.36384427034728E+00
z1 : -1.30717346381748E-01 -8.08888612764664E-01
z2 : 8.64003835375071E-02 1.61215403185735E-01
z3 : 3.67974729740555E-02 1.54692534187459E+00
z4 : 1.30717346381747E-01 8.08888612764664E-01
z5 : 2.69790045484382E+00 -3.36384427034728E+00
z6 : -3.67974729740554E-02 -1.54692534187459E+00
z7 : -8.64003835375071E-02 -1.61215403185735E-01
zz1 : -7.27990502345858E-16 5.54616158584519E-17
== err : 7.639E-15 = rco : 3.024E-03 = res : 1.190E-14 ==
solution 113 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.44505586790117E+00 7.94436670424390E-01
z1 : 4.95724183903036E-01 -6.57546019759572E-01
z2 : -5.78179696914267E-02 1.64555988077279E-01
z3 : -1.06645636932945E+00 1.11360030905321E+00
z4 : -4.95724183903036E-01 6.57546019759572E-01
z5 : 4.44505586790117E+00 -7.94436670424389E-01
z6 : 1.06645636932945E+00 -1.11360030905321E+00
z7 : 5.78179696914267E-02 -1.64555988077279E-01
zz1 : 3.48933136331457E-16 1.05403904841861E-15
== err : 1.235E-14 = rco : 3.027E-03 = res : 1.685E-14 ==
solution 114 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.79020129147207E-02 7.85677297330415E-02
z1 : 6.05590395228091E+00 -9.67098825114421E+00
z2 : 1.61029736064460E-02 -6.73550382484746E-01
z3 : -5.79020129147207E-02 -7.85677297330415E-02
z4 : -6.89390028779837E-02 1.33097727806019E+00
z5 : -1.61029736064460E-02 6.73550382484746E-01
z6 : -6.05590395228090E+00 9.67098825114422E+00
z7 : 6.89390028779840E-02 -1.33097727806019E+00
zz1 : 2.68657566893445E-15 -2.03233166636935E-15
== err : 3.870E-14 = rco : 3.414E-04 = res : 2.802E-14 ==
solution 115 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.36501476513075E-01 5.81990568909133E-01
z1 : 3.75937921900842E-01 6.53010828052238E-01
z2 : 1.16317866982422E+00 4.32532544447542E-01
z3 : 4.36501476513075E-01 -5.81990568909133E-01
z4 : 1.30581697522482E+00 -6.75116435940404E-01
z5 : -1.16317866982422E+00 -4.32532544447541E-01
z6 : -3.75937921900842E-01 -6.53010828052238E-01
z7 : -1.30581697522482E+00 6.75116435940404E-01
zz1 : 1.92434195639201E-16 1.06258287401262E-15
== err : 7.333E-15 = rco : 2.587E-02 = res : 6.251E-15 ==
solution 116 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.21030583517889E-01 -4.53639459174515E+00
z1 : -5.87375853899328E-03 8.71063598036603E-01
z2 : -1.28597802676890E-03 1.53321722205636E+00
z3 : -3.14985137224720E-03 1.64965044278672E-01
z4 : 5.87375853899327E-03 -8.71063598036603E-01
z5 : 1.21030583517889E-01 4.53639459174515E+00
z6 : 3.14985137224720E-03 -1.64965044278672E-01
z7 : 1.28597802676891E-03 -1.53321722205636E+00
zz1 : 1.01498315255341E-17 1.02777498506646E-16
== err : 3.284E-15 = rco : 3.973E-03 = res : 3.977E-15 ==
solution 117 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.97929823449342E+00 -3.38033389616938E-01
z1 : 8.51023995750610E-01 -1.28995770006122E-02
z2 : 1.52851773626341E+00 -3.51268951268213E-03
z3 : 1.53822474202237E-01 -7.74829037293798E-03
z4 : -8.51023995750610E-01 1.28995770006121E-02
z5 : 4.97929823449342E+00 3.38033389616938E-01
z6 : -1.53822474202237E-01 7.74829037293797E-03
z7 : -1.52851773626341E+00 3.51268951268214E-03
zz1 : 5.48474923270355E-16 -8.01056822046788E-16
== err : 2.982E-15 = rco : 2.214E-03 = res : 7.249E-15 ==
solution 118 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.48412421451072E-01 3.58185489648358E-01
z1 : -3.37090373229506E-01 -3.28794538286604E-01
z2 : 6.54351116762243E-01 -1.86655489548444E+00
z3 : 3.48412421451073E-01 -3.58185489648358E-01
z4 : -6.57297956360418E-01 -2.04567903585679E+00
z5 : -6.54351116762244E-01 1.86655489548444E+00
z6 : 3.37090373229507E-01 3.28794538286604E-01
z7 : 6.57297956360417E-01 2.04567903585679E+00
zz1 : -8.88912807593480E-16 3.68082227248842E-16
== err : 1.019E-14 = rco : 1.676E-02 = res : 9.927E-15 ==
solution 119 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 9.79084135487448E-01 -1.01708913230172E+00
z1 : 4.26379554653189E-01 -3.79683323505004E-01
z2 : -1.02041546414689E+00 -2.93023369851681E-01
z3 : -3.65907272681922E-01 -1.10985808605531E+00
z4 : -4.26379554653189E-01 3.79683323505004E-01
z5 : -9.79084135487448E-01 1.01708913230172E+00
z6 : 3.65907272681922E-01 1.10985808605531E+00
z7 : 1.02041546414689E+00 2.93023369851681E-01
zz1 : 6.63591314901518E-16 2.55816179750507E-16
== err : 2.767E-15 = rco : 3.303E-02 = res : 5.757E-15 ==
solution 120 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.65495697097827E-02 9.67648289090617E-02
z1 : 1.06058538567113E+01 -3.66193661755824E+00
z2 : 4.84549639103819E-01 -4.66087152051698E-01
z3 : 2.65495697097827E-02 -9.67648289090617E-02
z4 : -9.75470849772498E-01 8.90942595882916E-01
z5 : -4.84549639103819E-01 4.66087152051698E-01
z6 : -1.06058538567113E+01 3.66193661755825E+00
z7 : 9.75470849772498E-01 -8.90942595882915E-01
zz1 : 1.15910169489629E-15 2.74111415162215E-15
== err : 4.432E-14 = rco : 2.882E-04 = res : 2.621E-14 ==
solution 121 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.52631904270315E+00 -8.11775090096134E-03
z1 : -3.91299697094399E-01 1.88911890230498E-02
z2 : 9.19962521183292E-01 -8.18930624851642E-01
z3 : -9.74528288648921E-01 -9.45506887206878E-01
z4 : 3.91299697094399E-01 -1.88911890230497E-02
z5 : 1.52631904270315E+00 8.11775090096160E-03
z6 : 9.74528288648921E-01 9.45506887206878E-01
z7 : -9.19962521183292E-01 8.18930624851642E-01
zz1 : 8.68971064278776E-16 -1.97607258111490E-16
== err : 7.886E-15 = rco : 1.508E-02 = res : 5.841E-15 ==
solution 122 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.12450334896516E+00 -1.18764658235482E+00
z1 : 6.98734357103494E-01 -2.03019954081267E+00
z2 : 7.40380699236211E-01 1.84628017249403E-01
z3 : 1.12450334896516E+00 1.18764658235482E+00
z4 : 3.67013778733814E-01 6.76346306539617E-02
z5 : -7.40380699236211E-01 -1.84628017249403E-01
z6 : -6.98734357103494E-01 2.03019954081267E+00
z7 : -3.67013778733814E-01 -6.76346306539617E-02
zz1 : 3.08607719377812E-16 4.75603349510981E-16
== err : 3.170E-15 = rco : 9.283E-03 = res : 9.131E-15 ==
solution 123 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -8.10700898934801E-02 -1.17155506716943E-01
z1 : -3.94919028970605E+00 7.20716934844849E+00
z2 : -1.64861825741661E-02 6.62189858085843E-01
z3 : 8.10700898934801E-02 1.17155506716943E-01
z4 : 1.01968615665623E-01 -1.28533935324976E+00
z5 : 1.64861825741661E-02 -6.62189858085843E-01
z6 : 3.94919028970605E+00 -7.20716934844849E+00
z7 : -1.01968615665622E-01 1.28533935324976E+00
zz1 : 3.53968088272234E-15 -3.62869942191100E-15
== err : 4.786E-14 = rco : 3.968E-04 = res : 1.827E-14 ==
solution 124 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.12218531169828E+00 5.68284514513132E+00
z1 : -1.51026713862602E-01 1.93050620844175E-03
z2 : -1.12821901386590E+00 -1.02784409559958E+00
z3 : 1.12218531169828E+00 -5.68284514513132E+00
z4 : 5.96301988296794E-01 4.53067272175817E-01
z5 : 1.12821901386590E+00 1.02784409559958E+00
z6 : 1.51026713862602E-01 -1.93050620844173E-03
z7 : -5.96301988296794E-01 -4.53067272175816E-01
zz1 : -4.45266713245976E-16 7.08655816539945E-17
== err : 6.815E-15 = rco : 2.739E-03 = res : 1.049E-14 ==
solution 125 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.03724993170124E+00 1.12807406171152E+00
z1 : -3.23857919652856E-01 1.52895384956044E+00
z2 : -9.53498468313585E-01 -2.61183124343453E-02
z3 : -1.03724993170124E+00 -1.12807406171152E+00
z4 : -3.82585913951351E-01 -2.12679260287302E-01
z5 : 9.53498468313585E-01 2.61183124343454E-02
z6 : 3.23857919652856E-01 -1.52895384956044E+00
z7 : 3.82585913951351E-01 2.12679260287302E-01
zz1 : -6.15944393662386E-17 -1.73658367024354E-16
== err : 4.042E-15 = rco : 1.182E-02 = res : 4.386E-15 ==
solution 126 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 4.53175330274271E-01 7.73780129908405E-03
z1 : -1.70122175417830E-02 5.11465648181146E-01
z2 : -2.00868312511410E+00 1.02642326231174E+00
z3 : -4.53175330274271E-01 -7.73780129908431E-03
z4 : -7.82976059405810E-01 1.74354687781112E+00
z5 : 2.00868312511410E+00 -1.02642326231174E+00
z6 : 1.70122175417834E-02 -5.11465648181146E-01
z7 : 7.82976059405810E-01 -1.74354687781113E+00
zz1 : 7.99477974631950E-16 -1.92973803771436E-15
== err : 1.190E-14 = rco : 5.683E-03 = res : 7.289E-15 ==
solution 127 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 5.39234521479730E-01 4.03464649451914E-01
z1 : 6.00549156672703E-01 -3.16553053932731E-01
z2 : 2.73690281886803E-01 -1.28953106273031E+00
z3 : -5.39234521479731E-01 -4.03464649451915E-01
z4 : -5.94416927860206E-01 -1.54906287137826E+00
z5 : -2.73690281886803E-01 1.28953106273031E+00
z6 : -6.00549156672704E-01 3.16553053932732E-01
z7 : 5.94416927860205E-01 1.54906287137826E+00
zz1 : -3.23779970961952E-15 3.16603112096700E-15
== err : 1.939E-14 = rco : 6.457E-03 = res : 4.199E-15 ==
solution 128 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 3.03876195396529E-01 -2.67028909535363E-01
z1 : -6.90162812223187E-01 -1.58752474471224E+00
z2 : -7.37474777093941E-01 2.49706140820809E+00
z3 : 3.64498153904518E-01 4.09821862507820E-01
z4 : 6.90162812223187E-01 1.58752474471224E+00
z5 : -3.03876195396529E-01 2.67028909535363E-01
z6 : -3.64498153904518E-01 -4.09821862507820E-01
z7 : 7.37474777093941E-01 -2.49706140820809E+00
zz1 : 1.29290729122241E-16 3.19235156071904E-17
== err : 3.322E-15 = rco : 9.500E-03 = res : 9.504E-15 ==
solution 129 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -4.39005041671639E-01 -5.32636093062202E-02
z1 : -7.76714680292675E-01 1.55077506835028E+00
z2 : 1.98939062768829E+00 -1.33239427356238E+00
z3 : 2.75758868742611E-03 -5.44515300969992E-01
z4 : 7.76714680292674E-01 -1.55077506835028E+00
z5 : 4.39005041671639E-01 5.32636093062201E-02
z6 : -2.75758868742598E-03 5.44515300969992E-01
z7 : -1.98939062768829E+00 1.33239427356238E+00
zz1 : -8.55494346094080E-16 2.71549713282114E-17
== err : 1.129E-14 = rco : 4.779E-03 = res : 1.019E-14 ==
solution 130 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.29678357043990E+00 3.85199330783087E-01
z1 : -7.08614774884528E-01 2.10488429442342E-01
z2 : -3.85199330783087E-01 1.29678357043990E+00
z3 : -2.10488429442342E-01 -7.08614774884528E-01
z4 : -1.29678357043990E+00 -3.85199330783087E-01
z5 : 7.08614774884528E-01 -2.10488429442342E-01
z6 : 3.85199330783087E-01 -1.29678357043990E+00
z7 : 2.10488429442342E-01 7.08614774884528E-01
zz1 : -1.04102165403811E-16 3.41575123222961E-17
== err : 2.051E-15 = rco : 2.113E-02 = res : 4.560E-15 ==
solution 131 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.10351914462028E-01 3.90782851016672E-01
z1 : -1.44476705648388E+00 -4.07172975750777E-01
z2 : -4.05044377118168E-01 -4.20890463102010E-01
z3 : -2.56983838111743E+00 5.88378361482054E-03
z4 : 1.44476705648388E+00 4.07172975750777E-01
z5 : 2.10351914462028E-01 -3.90782851016672E-01
z6 : 2.56983838111743E+00 -5.88378361482004E-03
z7 : 4.05044377118168E-01 4.20890463102010E-01
zz1 : 2.19605187229098E-16 4.55271184187140E-16
== err : 7.710E-15 = rco : 1.737E-02 = res : 7.504E-15 ==
solution 132 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.69213467808206E-01 -6.36571350673837E-01
z1 : 1.17168203132060E+00 -1.91842969553371E-01
z2 : -1.62550513633661E+00 -7.88189303457010E-01
z3 : -4.29020056129969E-01 -5.20561398473206E-01
z4 : -1.17168203132060E+00 1.91842969553371E-01
z5 : -2.69213467808206E-01 6.36571350673837E-01
z6 : 4.29020056129969E-01 5.20561398473206E-01
z7 : 1.62550513633661E+00 7.88189303457010E-01
zz1 : 5.07294678088075E-16 -3.53510318799725E-16
== err : 3.724E-15 = rco : 4.325E-02 = res : 7.910E-15 ==
solution 133 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -1.22825558203433E-01 -4.23178169783522E-02
z1 : 3.54875290613824E+00 8.27502312814280E+00
z2 : 4.61700919073314E-01 4.78576126079439E-01
z3 : 1.22825558203433E-01 4.23178169783521E-02
z4 : -8.57356176008594E-01 -9.58001111087106E-01
z5 : -4.61700919073315E-01 -4.78576126079439E-01
z6 : -3.54875290613825E+00 -8.27502312814280E+00
z7 : 8.57356176008594E-01 9.58001111087106E-01
zz1 : -2.43515156009964E-15 2.17938633669037E-15
== err : 9.742E-14 = rco : 4.606E-04 = res : 2.012E-14 ==
solution 134 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.02494469881114E-01 4.21581692713118E-03
z1 : -1.42240448042579E+00 -1.07243859650571E+01
z2 : -4.61968005711581E-01 -4.89602169935874E-01
z3 : -1.02494469881114E-01 -4.21581692713118E-03
z4 : 8.86374063638891E-01 1.00314680887807E+00
z5 : 4.61968005711581E-01 4.89602169935874E-01
z6 : 1.42240448042579E+00 1.07243859650571E+01
z7 : -8.86374063638892E-01 -1.00314680887807E+00
zz1 : 7.86022419543437E-16 4.24217001288038E-16
== err : 2.042E-14 = rco : 3.677E-04 = res : 1.575E-14 ==
solution 135 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.14420024969379E+00 -7.52447561823924E-01
z1 : -4.01225860524963E-01 6.10119233669200E-01
z2 : 7.52447561823924E-01 1.14420024969379E+00
z3 : -6.10119233669200E-01 -4.01225860524963E-01
z4 : -1.14420024969379E+00 7.52447561823924E-01
z5 : 4.01225860524963E-01 -6.10119233669201E-01
z6 : -7.52447561823923E-01 -1.14420024969379E+00
z7 : 6.10119233669200E-01 4.01225860524963E-01
zz1 : 2.01785368386344E-16 -2.79916420125349E-16
== err : 2.850E-15 = rco : 3.431E-02 = res : 3.307E-15 ==
solution 136 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.47138979165818E-01 -5.52538250264703E-01
z1 : -8.73779156466726E-01 -8.84708792894706E-01
z2 : -6.38070151385060E-01 5.20308245703335E-02
z3 : -1.87773397999688E+00 -8.83903646263189E-01
z4 : 8.73779156466726E-01 8.84708792894705E-01
z5 : -2.47138979165818E-01 5.52538250264703E-01
z6 : 1.87773397999689E+00 8.83903646263190E-01
z7 : 6.38070151385060E-01 -5.20308245703333E-02
zz1 : 1.78860908889081E-15 2.67941597722209E-16
== err : 1.364E-14 = rco : 1.194E-02 = res : 6.361E-15 ==
solution 137 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -6.89619379325715E-01 -3.29162410461098E-01
z1 : -3.30657131765747E-01 -1.09238442569427E+00
z2 : -8.24764935037530E-01 1.38085158886495E+00
z3 : -5.49879642207547E-01 4.53676900249822E-01
z4 : 3.30657131765748E-01 1.09238442569427E+00
z5 : 6.89619379325715E-01 3.29162410461098E-01
z6 : 5.49879642207547E-01 -4.53676900249823E-01
z7 : 8.24764935037530E-01 -1.38085158886495E+00
zz1 : 2.54813544616899E-15 -5.68123379675272E-16
== err : 1.393E-14 = rco : 6.667E-03 = res : 5.942E-15 ==
solution 138 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.02905564896273E+00 2.00505410931780E+00
z1 : 1.37265435843728E+00 1.08996366605111E+00
z2 : 3.09902850179852E-01 -1.30526787709266E-01
z3 : 2.02905564896272E+00 -2.00505410931780E+00
z4 : 5.19955403129141E-01 2.88782631180661E-01
z5 : -3.09902850179852E-01 1.30526787709266E-01
z6 : -1.37265435843728E+00 -1.08996366605111E+00
z7 : -5.19955403129141E-01 -2.88782631180661E-01
zz1 : -1.58435486368902E-16 6.84920319613764E-16
== err : 3.002E-14 = rco : 1.270E-03 = res : 7.160E-15 ==
solution 139 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 2.29167981651183E-01 -7.91823424881352E-01
z1 : -3.81029965950040E-01 3.57062303967276E+00
z2 : 4.94028769428865E-04 6.42989705026393E-01
z3 : -2.29167981651183E-01 7.91823424881352E-01
z4 : -1.98423317158109E-01 -4.86500667451456E-01
z5 : -4.94028769428980E-04 -6.42989705026393E-01
z6 : 3.81029965950041E-01 -3.57062303967276E+00
z7 : 1.98423317158109E-01 4.86500667451456E-01
zz1 : 8.67409111151906E-16 5.06654594625057E-18
== err : 9.260E-15 = rco : 3.983E-03 = res : 5.745E-15 ==
solution 140 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -3.81915256597276E-01 -1.64404299158085E-01
z1 : 4.43812506989668E-01 -1.32902047349146E+00
z2 : 4.25637428664453E-01 -4.22595404191978E-01
z3 : 1.51652151922694E-01 -2.85768608386739E+00
z4 : -4.43812506989668E-01 1.32902047349146E+00
z5 : 3.81915256597276E-01 1.64404299158085E-01
z6 : -1.51652151922694E-01 2.85768608386739E+00
z7 : -4.25637428664453E-01 4.22595404191978E-01
zz1 : 4.38910179249012E-16 -7.57063570450220E-16
== err : 5.236E-15 = rco : 1.887E-02 = res : 7.876E-15 ==
solution 141 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.16380218659107E+00 -1.20990721949796E+00
z1 : -9.41250391404317E-01 -2.05107748776519E+00
z2 : -6.75657751119221E-01 1.90006628524156E-01
z3 : -1.16380218659107E+00 1.20990721949796E+00
z4 : -3.75357702643009E-01 2.31533635865797E-02
z5 : 6.75657751119221E-01 -1.90006628524156E-01
z6 : 9.41250391404317E-01 2.05107748776519E+00
z7 : 3.75357702643009E-01 -2.31533635865797E-02
zz1 : -8.84742121165555E-18 -3.31301544306859E-16
== err : 7.836E-15 = rco : 7.136E-03 = res : 6.267E-15 ==
solution 142 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 8.00530491938175E-02 -8.27299920492855E-02
z1 : -7.45660914420973E+00 -6.20895185019751E+00
z2 : -6.69701827083444E-01 -2.21396252595019E-02
z3 : -8.00530491938175E-02 8.27299920492855E-02
z4 : 1.33232118375144E+00 9.93661994617228E-02
z5 : 6.69701827083444E-01 2.21396252595020E-02
z6 : 7.45660914420973E+00 6.20895185019751E+00
z7 : -1.33232118375144E+00 -9.93661994617227E-02
zz1 : -8.45480719225118E-16 -2.60306412557542E-15
== err : 5.723E-14 = rco : 4.690E-04 = res : 2.807E-14 ==
solution 143 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : -2.47726235158752E-01 -5.91187885017146E-01
z1 : -1.24068268254956E+00 -1.03238135520375E-01
z2 : -4.14528601080843E-01 5.04260519329397E-01
z3 : -1.78678482271124E+00 7.01797057822020E-01
z4 : 1.24068268254956E+00 1.03238135520375E-01
z5 : 2.47726235158752E-01 5.91187885017146E-01
z6 : 1.78678482271124E+00 -7.01797057822020E-01
z7 : 4.14528601080843E-01 -5.04260519329397E-01
zz1 : -8.22393212557680E-17 -3.03701871940912E-16
== err : 4.577E-15 = rco : 3.078E-02 = res : 3.941E-15 ==
solution 144 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
z0 : 1.15560625173541E+00 1.57328645329756E+00
z1 : 1.45552235834133E+00 -1.88852840443726E+00
z2 : -2.54319827314627E-01 -4.50302982144619E-01
z3 : -1.15560625173542E+00 -1.57328645329756E+00
z4 : 1.95885579589096E-01 -3.66360451375197E-01
z5 : 2.54319827314628E-01 4.50302982144619E-01
z6 : -1.45552235834132E+00 1.88852840443726E+00
z7 : -1.95885579589096E-01 3.66360451375197E-01
zz1 : 1.64885313059868E-15 1.23184649370244E-15
== err : 4.689E-14 = rco : 9.822E-04 = res : 7.139E-15 ==
TITLE : embedded cyclic 9-roots system
ROOT COUNTS :
total degree : 362,880 (= 9!)
Mixed volume : 20,376
NOTE : the original last equation is moved up to the front.
The zz1 and zz2 are two "slack variables", used to "square" the
system which became overdetermined after adding two random hyperplanes.
For zz1 = 0 and zz2 = 0 we find 18 solutions. These 18 solutions are
generic points on the two dimensional solution components.
With these 18 generic points we then can figure out the decomposition
into irreducible components either by interpolation, or by application
of monodromy group actions.
We found six two dimensional cubic surfaces.