C ALGORITHM 801, COLLECTED ALGORITHMS FROM ACM. C THIS WORK PUBLISHED IN TRANSACTIONS ON MATHEMATICAL SOFTWARE, C VOL. 26, NO. 1, March, 2000, P. 176--200. #! /bin/sh # This is a shell archive, meaning: # 1. Remove everything above the #! /bin/sh line. # 2. Save the resulting text in a file. # 3. Execute the file with /bin/sh (not csh) to create the files: # Doc/ # Doc/README # Fortran90/ # Fortran90/Dp/ # Fortran90/Dp/Drivers/ # Fortran90/Dp/Drivers/INPUT.DAT # Fortran90/Dp/Drivers/OUTPUT.DAT # Fortran90/Dp/Drivers/main_template.f90 # Fortran90/Dp/Drivers/test_install.f90 # Fortran90/Dp/Src/ # Fortran90/Dp/Src/lapack_plp.f # Fortran90/Dp/Src/polsys_plp.f90 # This archive created: Mon Sep 4 12:18:17 2000 export PATH; PATH=/bin:$PATH if test ! -d 'Doc' then mkdir 'Doc' fi cd 'Doc' if test -f 'README' then echo shar: will not over-write existing file "'README'" else cat << SHAR_EOF > 'README' POLSYS_PLP POLSYS_PLP is Fortran 90 code for solving N complex coefficient polynomial systems of equations in N unknowns by a probability-one, globally convergent homotopy method. The package consists of 2 modules: GLOBAL_PLP contains the derived data types which define the polynomial system, the system partition, and the start system of the homotopy; the module POLSYS contains the actual solver POLSYS_PLP and its internal routines, and the routines responsible for root counting, BEZOUT_PLP and SINGSYS_PLP. POLSYS_PLP uses the HOMPACK90 modules HOMOTOPY, HOMPACK90_GLOBAL, and REAL_PRECISION, the HOMPACK90 path tracking routine STEPNX, and numerous BLAS and LAPACK routines. The physical organization into files is as follows: The file polsys_plp.f90 contains (in order) REAL_PRECISION, GLOBAL_PLP, POLSYS, HOMPACK90_GLOBAL, HOMOTOPY, and STEPNX; the file lapack_plp.f contains all the necessary BLAS and LAPACK routines. A sample calling program MAIN_TEMPLATE and a template for a hand-crafted function/Jacobian evaluation program TARGET_SYSTEM_USER are contained in the file main_template.f90. MAIN_TEMPLATE reads the data file INPUT.DAT and writes the solutions to the file OUTPUT.DAT. The file test_install.f90 contains a main program TEST_INSTALL to verify the installation. It reads INPUT.DAT, solves a problem defined there, compares the computed results to known answers, and prints a message indicating whether the installation was apparently successful. To test the package, compile polsys_plp.f90 (as free form Fortran 90 files) and compile lapack_plp.f (as fixed form Fortran 90 files). Then compile main_template.f90 and link to the object files from the two compiles above. Do the same for test_install.f90. TEST_INSTALL provides a simple test of the installation. MAIN_TEMPLATE produces detailed output in the file OUTPUT.DAT, which, with an understanding of how POLSYS_PLP works, can be compared to the file OUTPUT.DAT in the package. The modules and external subroutines in polsys_plp.f90 and lapack_plp.f can be stored in module and object libraries and need not be recompiled. The subroutine TARGET_SYSTEM_USER defining the polynomial system and its Jacobian matrix, or a dummy subroutine, must be supplied on every call to POLSYS_PLP. However, if the user does not wish to change TARGET_SYSTEM_USER, its object code can be stored in the aforementioned object library. ------------------------------------------------------------------------------- Inquiries should be directed to Layne T. Watson, Department of Computer Science, VPI & SU, Blacksburg, VA 24061-0106; (540) 231-7540; ltw@vt.edu. SHAR_EOF fi # end of overwriting check cd .. if test ! -d 'Fortran90' then mkdir 'Fortran90' fi cd 'Fortran90' if test ! -d 'Dp' then mkdir 'Dp' fi cd 'Dp' if test ! -d 'Drivers' then mkdir 'Drivers' fi cd 'Drivers' if test -f 'INPUT.DAT' then echo shar: will not over-write existing file "'INPUT.DAT'" else cat << SHAR_EOF > 'INPUT.DAT' &PROBLEM NEW_PROBLEM=.TRUE. TITLE='TWO QUADRICS, NO SOLUTIONS AT INFINITY, TWO REAL SOLUTIONS.' TRACKTOL = 1.0D-4 FINALTOL = 1.0D-14 SINGTOL = 0.0 SSPAR(5) = 1.0D0 NUMRR = 1 N = 2 NUM_TERMS(1) = 6 COEF(1,1) = (-9.80D-04,0.0) DEG(1,1,1) = 2 COEF(1,2) = ( 9.78D+05,0.0) DEG(1,2,2) = 2 COEF(1,3) = (-9.80D+00,0.0) DEG(1,3,1) = 1 DEG(1,3,2) = 1 COEF(1,4) = (-2.35D+02,0.0) DEG(1,4,1) = 1 COEF(1,5) = ( 8.89D+04,0.0) DEG(1,5,2) = 1 COEF(1,6) = (-1.00D+00,0.0) NUM_TERMS(2) = 6 COEF(2,1) = (-1.00D-02,0.0) DEG(2,1,1) = 2 COEF(2,2) = (-9.84D-01,0.0) DEG(2,2,2) = 2 COEF(2,3) = (-2.97D+01,0.0) DEG(2,3,1) = 1 DEG(2,3,2) = 1 COEF(2,4) = ( 9.87D-03,0.0) DEG(2,4,1) = 1 COEF(2,5) = (-1.24D-01,0.0) DEG(2,5,2) = 1 COEF(2,6) = (-2.50D-01,0.0) / &SYSPARTITION ROOT_COUNT_ONLY = .FALSE. P(1) = '{{x1,x2}}' P(2) = '{{x1,x2}}' NUM_SETS(1) = 1 NUM_INDICES(1,1) = 2 INDEX(1,1,1) = 1 INDEX(1,1,2) = 2 NUM_SETS(2) = 1 NUM_INDICES(2,1) = 2 INDEX(2,1,1) = 1 INDEX(2,1,2) = 2 / &PROBLEM NEW_PROBLEM = .TRUE. TITLE='PB803, 48 FINITE SOLUTIONS, TOTAL DEGREE 256.' TRACKTOL = 1.0D-06 FINALTOL = 1.0D-12 SINGTOL = 0.0 SSPAR(5) = 1.0D0 NUMRR = 1 N = 8 DEG=27000*0 NUM_TERMS(1) = 17 DEG( 1, 1, 1) = 1 DEG( 1, 1, 3) = 1 COEF( 1, 1) = (-0.290965281036386D-01, 0.D0) DEG( 1, 2, 1) = 1 DEG( 1, 2, 4) = 1 COEF( 1, 2) = (0.123862737830566D+00, 0.D0) DEG( 1, 3, 2) = 1 DEG( 1, 3, 3) = 1 COEF( 1, 3) = (0.215085387051146D-01, 0.D0) DEG( 1, 4, 2) = 1 DEG( 1, 4, 4) = 1 COEF( 1, 4) = (0.167560227205193D+00, 0.D0) DEG( 1, 5, 5) = 1 DEG( 1, 5, 7) = 1 COEF( 1, 5) = (0.000000000000000D+00, 0.D0) DEG( 1, 6, 5) = 1 DEG( 1, 6, 8) = 1 COEF( 1, 6) = (-0.700449587631292D-01, 0.D0) DEG( 1, 7, 6) = 1 DEG( 1, 7, 7) = 1 COEF( 1, 7) = (-0.270632938682637D+00, 0.D0) DEG( 1, 8, 6) = 1 DEG( 1, 8, 8) = 1 COEF( 1, 8) = (0.000000000000000D+00, 0.D0) DEG( 1, 9, 1) = 1 COEF( 1, 9) = (-0.615842911676544D+00, 0.D0) DEG( 1, 10, 2) = 1 COEF( 1, 10) = (0.455239231804051D+00, 0.D0) DEG( 1, 11, 3) = 1 COEF( 1, 11) = (0.130935803481163D+00, 0.D0) DEG( 1, 12, 4) = 1 COEF( 1, 12) = (-0.129409522551260D+00, 0.D0) DEG( 1, 13, 5) = 1 COEF( 1, 13) = (0.418258151868904D+00, 0.D0) DEG( 1, 14, 6) = 1 COEF( 1, 14) = (-0.541265877365274D+00, 0.D0) DEG( 1, 15, 7) = 1 COEF( 1, 15) = (0.000000000000000D+00, 0.D0) DEG( 1, 16, 8) = 1 COEF( 1, 16) = (0.150925910357667D+00, 0.D0) COEF( 1, 17) = (-0.238536449761034D-01, 0.D0) NUM_TERMS(2)=17 DEG( 2, 1, 1) = 1 DEG( 2, 1, 3) = 1 COEF( 2, 1) = (0.340782576514583D-01, 0.D0) DEG( 2, 2, 1) = 1 DEG( 2, 2, 4) = 1 COEF( 2, 2) = (-0.156062186852569D+00, 0.D0) DEG( 2, 3, 2) = 1 DEG( 2, 3, 3) = 1 COEF( 2, 3) = (-0.270999143496647D-01, 0.D0) DEG( 2, 4, 2) = 1 DEG( 2, 4, 4) = 1 COEF( 2, 4) = (-0.196248864280182D+00, 0.D0) DEG( 2, 5, 5) = 1 DEG( 2, 5, 7) = 1 COEF( 2, 5) = (0.220738619037920D+00, 0.D0) DEG( 2, 6, 5) = 1 DEG( 2, 6, 8) = 1 COEF( 2, 6) = (0.000000000000000D+00, 0.D0) DEG( 2, 7, 6) = 1 DEG( 2, 7, 7) = 1 COEF( 2, 7) = (0.000000000000000D+00, 0.D0) DEG( 2, 8, 6) = 1 DEG( 2, 8, 8) = 1 COEF( 2, 8) = (-0.852868531952443D+00, 0.D0) DEG( 2, 9, 1) = 1 COEF( 2, 9) = (0.721283767677873D+00, 0.D0) DEG( 2, 10, 2) = 1 COEF( 2, 10) = (-0.573583559517377D+00, 0.D0) DEG( 2, 11, 3) = 1 COEF( 2, 11) = (0.631988450754851D-01, 0.D0) DEG( 2, 12, 4) = 1 COEF( 2, 12) = (0.000000000000000D+00, 0.D0) DEG( 2, 13, 5) = 1 COEF( 2, 13) = (-0.145259531732747D+00, 0.D0) DEG( 2, 14, 6) = 1 COEF( 2, 14) = (0.000000000000000D+00, 0.D0) DEG( 2, 15, 7) = 1 COEF( 2, 15) = (-0.475625621282099D+00, 0.D0) DEG( 2, 16, 8) = 1 COEF( 2, 16) = (0.000000000000000D+00, 0.D0) COEF( 2, 17) = (0.191169832725054D-01, 0.D0) NUM_TERMS(3)=17 DEG( 3, 1, 1) = 1 DEG( 3, 1, 3) = 1 COEF( 3, 1) = (-0.602977987152187D+00, 0.D0) DEG( 3, 2, 1) = 1 DEG( 3, 2, 4) = 1 COEF( 3, 2) = (-0.131668276721907D+00, 0.D0) DEG( 3, 3, 2) = 1 DEG( 3, 3, 3) = 1 COEF( 3, 3) = (-0.758247385552503D+00, 0.D0) DEG( 3, 4, 2) = 1 DEG( 3, 4, 4) = 1 COEF( 3, 4) = (0.104706028642251D+00, 0.D0) DEG( 3, 5, 5) = 1 DEG( 3, 5, 7) = 1 COEF( 3, 5) = (-0.551846547594801D-01, 0.D0) DEG( 3, 6, 5) = 1 DEG( 3, 6, 8) = 1 COEF( 3, 6) = (0.123100969126526D+00, 0.D0) DEG( 3, 7, 6) = 1 DEG( 3, 7, 7) = 1 COEF( 3, 7) = (0.318608752805224D-01, 0.D0) DEG( 3, 8, 6) = 1 DEG( 3, 8, 8) = 1 COEF( 3, 8) = (0.213217132988111D+00, 0.D0) DEG( 3, 9, 1) = 1 COEF( 3, 9) = (-0.214660295785905D-01, 0.D0) DEG( 3, 10, 2) = 1 COEF( 3, 10) = (-0.601805216517440D+00, 0.D0) DEG( 3, 11, 3) = 1 COEF( 3, 11) = (0.000000000000000D+00, 0.D0) DEG( 3, 12, 4) = 1 COEF( 3, 12) = (0.244181586600211D+00, 0.D0) DEG( 3, 13, 5) = 1 COEF( 3, 13) = (0.363148829331866D-01, 0.D0) DEG( 3, 14, 6) = 1 COEF( 3, 14) = (-0.209664074370650D-01, 0.D0) DEG( 3, 15, 7) = 1 COEF( 3, 15) = (-0.713438431923148D+00, 0.D0) DEG( 3, 16, 8) = 1 COEF( 3, 16) = (0.615504845632630D+00, 0.D0) COEF( 3, 17) = (0.547700898171009D+00, 0.D0) NUM_TERMS(4)=17 DEG( 4, 1, 1) = 1 DEG( 4, 1, 3) = 1 COEF( 4, 1) = (0.478568869541663D+00, 0.D0) DEG( 4, 2, 1) = 1 DEG( 4, 2, 4) = 1 COEF( 4, 2) = (0.112420351802601D+00, 0.D0) DEG( 4, 3, 2) = 1 DEG( 4, 3, 3) = 1 COEF( 4, 3) = (0.647403003665440D+00, 0.D0) DEG( 4, 4, 2) = 1 DEG( 4, 4, 4) = 1 COEF( 4, 4) = (-0.831026120840329D-01, 0.D0) DEG( 4, 5, 5) = 1 DEG( 4, 5, 7) = 1 COEF( 4, 5) = (0.390625000000000D-01, 0.D0) DEG( 4, 6, 5) = 1 DEG( 4, 6, 8) = 1 COEF( 4, 6) = (0.175112396907823D-01, 0.D0) DEG( 4, 7, 6) = 1 DEG( 4, 7, 7) = 1 COEF( 4, 7) = (0.676582346706593D-01, 0.D0) DEG( 4, 8, 6) = 1 DEG( 4, 8, 8) = 1 COEF( 4, 8) = (-0.101101189493172D-01, 0.D0) DEG( 4, 9, 1) = 1 COEF( 4, 9) = (0.196623270912993D-03, 0.D0) DEG( 4, 10, 2) = 1 COEF( 4, 10) = (0.500438376735814D+00, 0.D0) DEG( 4, 11, 3) = 1 COEF( 4, 11) = (-0.500000000000000D+00, 0.D0) DEG( 4, 12, 4) = 1 COEF( 4, 12) = (0.505897096673464D+00, 0.D0) DEG( 4, 13, 5) = 1 COEF( 4, 13) = (-0.264395379672260D-01, 0.D0) DEG( 4, 14, 6) = 1 COEF( 4, 14) = (0.195686833484385D+00, 0.D0) DEG( 4, 15, 7) = 1 COEF( 4, 15) = (0.195312500000000D+00, 0.D0) DEG( 4, 16, 8) = 1 COEF( 4, 16) = (0.226388865536500D+00, 0.D0) COEF( 4, 17) = (-0.339187450014371D+00, 0.D0) NUM_TERMS(5)=3 DEG( 5, 1, 1) = 2 COEF( 5, 1) = (0.100000000000000D+01, 0.D0) DEG( 5, 2, 2) = 2 COEF( 5, 2) = (0.100000000000000D+01, 0.D0) COEF( 5, 3) = (-0.100000000000000D+01, 0.D0) NUM_TERMS(6)=3 DEG( 6, 1, 3) = 2 COEF( 6, 1) = (0.100000000000000D+01, 0.D0) DEG( 6, 2, 4) = 2 COEF( 6, 2) = (0.100000000000000D+01, 0.D0) COEF( 6, 3) = (-0.100000000000000D+01, 0.D0) NUM_TERMS(7)=3 DEG( 7, 1, 5) = 2 COEF( 7, 1) = (0.100000000000000D+01, 0.D0) DEG( 7, 2, 6) = 2 COEF( 7, 2) = (0.100000000000000D+01, 0.D0) COEF( 7, 3) = (-0.100000000000000D+01, 0.D0) NUM_TERMS(8)=3 DEG( 8, 1, 7) = 2 COEF( 8, 1) = (0.100000000000000D+01, 0.D0) DEG( 8, 2, 8) = 2 COEF( 8, 2) = (0.100000000000000D+01, 0.D0) COEF( 8, 3) = (-0.100000000000000D+01, 0.D0) / &SYSPARTITION ROOT_COUNT_ONLY = .TRUE. P(1) = '{{1,2,3,4,5,6,7,8}}' P(2) = '{{1,2,3,4,5,6,7,8}}' P(3) = '{{1,2,3,4,5,6,7,8}}' P(4) = '{{1,2,3,4,5,6,7,8}}' P(5) = '{{1,2,3,4,5,6,7,8}}' P(6) = '{{1,2,3,4,5,6,7,8}}' P(7) = '{{1,2,3,4,5,6,7,8}}' P(8) = '{{1,2,3,4,5,6,7,8}}' NUM_SETS(1) = 1 NUM_INDICES(1,1) = 8 INDEX(1,1,1) = 1 INDEX(1,1,2) = 2 INDEX(1,1,3) = 3 INDEX(1,1,4) = 4 INDEX(1,1,5) = 5 INDEX(1,1,6) = 6 INDEX(1,1,7) = 7 INDEX(1,1,8) = 8 NUM_SETS(2) = 1 NUM_INDICES(2,1) = 8 INDEX(2,1,1) = 1 INDEX(2,1,2) = 2 INDEX(2,1,3) = 3 INDEX(2,1,4) = 4 INDEX(2,1,5) = 5 INDEX(2,1,6) = 6 INDEX(2,1,7) = 7 INDEX(2,1,8) = 8 NUM_SETS(3) = 1 NUM_INDICES(3,1) = 8 INDEX(3,1,1) = 1 INDEX(3,1,2) = 2 INDEX(3,1,3) = 3 INDEX(3,1,4) = 4 INDEX(3,1,5) = 5 INDEX(3,1,6) = 6 INDEX(3,1,7) = 7 INDEX(3,1,8) = 8 NUM_SETS(4) = 1 NUM_INDICES(4,1) = 8 INDEX(4,1,1) = 1 INDEX(4,1,2) = 2 INDEX(4,1,3) = 3 INDEX(4,1,4) = 4 INDEX(4,1,5) = 5 INDEX(4,1,6) = 6 INDEX(4,1,7) = 7 INDEX(4,1,8) = 8 NUM_SETS(5) = 1 NUM_INDICES(5,1) = 8 INDEX(5,1,1) = 1 INDEX(5,1,2) = 2 INDEX(5,1,3) = 3 INDEX(5,1,4) = 4 INDEX(5,1,5) = 5 INDEX(5,1,6) = 6 INDEX(5,1,7) = 7 INDEX(5,1,8) = 8 NUM_SETS(6) = 1 NUM_INDICES(6,1) = 8 INDEX(6,1,1) = 1 INDEX(6,1,2) = 2 INDEX(6,1,3) = 3 INDEX(6,1,4) = 4 INDEX(6,1,5) = 5 INDEX(6,1,6) = 6 INDEX(6,1,7) = 7 INDEX(6,1,8) = 8 NUM_SETS(7) = 1 NUM_INDICES(7,1) = 8 INDEX(7,1,1) = 1 INDEX(7,1,2) = 2 INDEX(7,1,3) = 3 INDEX(7,1,4) = 4 INDEX(7,1,5) = 5 INDEX(7,1,6) = 6 INDEX(7,1,7) = 7 INDEX(7,1,8) = 8 NUM_SETS(8) = 1 NUM_INDICES(8,1) = 8 INDEX(8,1,1) = 1 INDEX(8,1,2) = 2 INDEX(8,1,3) = 3 INDEX(8,1,4) = 4 INDEX(8,1,5) = 5 INDEX(8,1,6) = 6 INDEX(8,1,7) = 7 INDEX(8,1,8) = 8 / &PROBLEM NEW_PROBLEM = .FALSE. / &SYSPARTITION ROOT_COUNT_ONLY = .FALSE. P(1) = '{{1,2,5,6},{3,4,7,8}}' P(2) = '{{1,2,5,6},{3,4,7,8}}' P(3) = '{{1,2,5,6},{3,4,7,8}}' P(4) = '{{1,2,5,6},{3,4,7,8}}' P(5) = '{{1,2,5,6},{3,4,7,8}}' P(6) = '{{1,2,5,6},{3,4,7,8}}' P(7) = '{{1,2,5,6},{3,4,7,8}}' P(8) = '{{1,2,5,6},{3,4,7,8}}' NUM_SETS(1) = 2 NUM_INDICES(1,1) = 4 INDEX(1,1,1) = 1 INDEX(1,1,2) = 2 INDEX(1,1,3) = 5 INDEX(1,1,4) = 6 NUM_INDICES(1,2) = 4 INDEX(1,2,1) = 3 INDEX(1,2,2) = 4 INDEX(1,2,3) = 7 INDEX(1,2,4) = 8 NUM_SETS(2) = 2 NUM_INDICES(2,1) = 4 INDEX(2,1,1) = 1 INDEX(2,1,2) = 2 INDEX(2,1,3) = 5 INDEX(2,1,4) = 6 NUM_INDICES(2,2) = 4 INDEX(2,2,1) = 3 INDEX(2,2,2) = 4 INDEX(2,2,3) = 7 INDEX(2,2,4) = 8 NUM_SETS(3) = 2 NUM_INDICES(3,1) = 4 INDEX(3,1,1) = 1 INDEX(3,1,2) = 2 INDEX(3,1,3) = 5 INDEX(3,1,4) = 6 NUM_INDICES(3,2) = 4 INDEX(3,2,1) = 3 INDEX(3,2,2) = 4 INDEX(3,2,3) = 7 INDEX(3,2,4) = 8 NUM_SETS(4) = 2 NUM_INDICES(4,1) = 4 INDEX(4,1,1) = 1 INDEX(4,1,2) = 2 INDEX(4,1,3) = 5 INDEX(4,1,4) = 6 NUM_INDICES(4,2) = 4 INDEX(4,2,1) = 3 INDEX(4,2,2) = 4 INDEX(4,2,3) = 7 INDEX(4,2,4) = 8 NUM_SETS(5) = 2 NUM_INDICES(5,1) = 4 INDEX(5,1,1) = 1 INDEX(5,1,2) = 2 INDEX(5,1,3) = 5 INDEX(5,1,4) = 6 NUM_INDICES(5,2) = 4 INDEX(5,2,1) = 3 INDEX(5,2,2) = 4 INDEX(5,2,3) = 7 INDEX(5,2,4) = 8 NUM_SETS(6) = 2 NUM_INDICES(6,1) = 4 INDEX(6,1,1) = 1 INDEX(6,1,2) = 2 INDEX(6,1,3) = 5 INDEX(6,1,4) = 6 NUM_INDICES(6,2) = 4 INDEX(6,2,1) = 3 INDEX(6,2,2) = 4 INDEX(6,2,3) = 7 INDEX(6,2,4) = 8 NUM_SETS(7) = 2 NUM_INDICES(7,1) = 4 INDEX(7,1,1) = 1 INDEX(7,1,2) = 2 INDEX(7,1,3) = 5 INDEX(7,1,4) = 6 NUM_INDICES(7,2) = 4 INDEX(7,2,1) = 3 INDEX(7,2,2) = 4 INDEX(7,2,3) = 7 INDEX(7,2,4) = 8 NUM_SETS(8) = 2 NUM_INDICES(8,1) = 4 INDEX(8,1,1) = 1 INDEX(8,1,2) = 2 INDEX(8,1,3) = 5 INDEX(8,1,4) = 6 NUM_INDICES(8,2) = 4 INDEX(8,2,1) = 3 INDEX(8,2,2) = 4 INDEX(8,2,3) = 7 INDEX(8,2,4) = 8 / SHAR_EOF fi # end of overwriting check if test -f 'OUTPUT.DAT' then echo shar: will not over-write existing file "'OUTPUT.DAT'" else cat << SHAR_EOF > 'OUTPUT.DAT' TWO QUADRICS, NO SOLUTIONS AT INFINITY, TWO REAL SOLUTIONS. TRACKTOL, FINALTOL = 1.00000000000000E-04 1.00000000000000E-14 SINGTOL (0 SETS DEFAULT) = 0.00000000000000E+00 SSPAR(5) (0 SETS DEFAULT) = 1.00000000000000E+00 NUMBER OF EQUATIONS = 2 ****** COEFFICIENT TABLEAU ****** POLYNOMIAL( 1)%NUM_TERMS = 6 POLYNOMIAL( 1)%TERM( 1)%DEG( 1) = 2 POLYNOMIAL( 1)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 1)%COEF = ( -9.80000000000000E-04, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 2)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 2)%DEG( 2) = 2 POLYNOMIAL( 1)%TERM( 2)%COEF = ( 9.78000000000000E+05, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 3)%DEG( 1) = 1 POLYNOMIAL( 1)%TERM( 3)%DEG( 2) = 1 POLYNOMIAL( 1)%TERM( 3)%COEF = ( -9.80000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 4)%DEG( 1) = 1 POLYNOMIAL( 1)%TERM( 4)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 4)%COEF = ( -2.35000000000000E+02, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 5)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 5)%DEG( 2) = 1 POLYNOMIAL( 1)%TERM( 5)%COEF = ( 8.89000000000000E+04, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 6)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 6)%COEF = ( -1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 2)%NUM_TERMS = 6 POLYNOMIAL( 2)%TERM( 1)%DEG( 1) = 2 POLYNOMIAL( 2)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 1)%COEF = ( -1.00000000000000E-02, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 2)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 2)%DEG( 2) = 2 POLYNOMIAL( 2)%TERM( 2)%COEF = ( -9.84000000000000E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 3)%DEG( 1) = 1 POLYNOMIAL( 2)%TERM( 3)%DEG( 2) = 1 POLYNOMIAL( 2)%TERM( 3)%COEF = ( -2.97000000000000E+01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 4)%DEG( 1) = 1 POLYNOMIAL( 2)%TERM( 4)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 4)%COEF = ( 9.87000000000000E-03, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 5)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 5)%DEG( 2) = 1 POLYNOMIAL( 2)%TERM( 5)%COEF = ( -1.24000000000000E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 6)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 6)%COEF = ( -2.50000000000000E-01, 0.00000000000000E+00) GENERALIZED PLP BEZOUT NUMBER (BPLP) = 4 BASED ON THE FOLLOWING SYSTEM PARTITION: P( 1) = {{x1,x2}} P( 2) = {{x1,x2}} PATH NUMBER = 1 ARCLEN = 1.26816675401253E+00 NFE = 72 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.21295805531714E-19 X( 1) = ( 1.61478579234357E-02, 1.68496955498881E+00) X( 2) = ( 2.67994739614461E-04, 4.42802993973661E-03) X( 3) = ( -1.25823744345070E-01, 1.63473363096121E-01) PATH NUMBER = 2 ARCLEN = 1.13629335006822E+00 NFE = 59 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.21930498807596E-19 X( 1) = ( 1.61478579234359E-02, -1.68496955498881E+00) X( 2) = ( 2.67994739614461E-04, -4.42802993973661E-03) X( 3) = ( -3.38381531362193E-02, 1.87673189619949E-01) PATH NUMBER = 3 ARCLEN = 1.12476921900360E+00 NFE = 77 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.36842264197237E-19 X( 1) = ( 2.34233851959121E+03, -2.71046941433355E-11) X( 2) = ( -7.88344824094120E-01, 9.12116375191414E-15) X( 3) = ( 7.51175382996960E-05, -1.28579733549813E-03) PATH NUMBER = 4 ARCLEN = 1.18469379240591E+00 NFE = 87 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.72244501412495E-19 X( 1) = ( 9.08921229615388E-02, -3.17718831976256E-17) X( 2) = ( -9.11497098197499E-02, -1.65664238054724E-17) X( 3) = ( -3.91641639919536E-02, 3.73017249038080E-02) PB803, 48 FINITE SOLUTIONS, TOTAL DEGREE 256. TRACKTOL, FINALTOL = 1.00000000000000E-06 1.00000000000000E-12 SINGTOL (0 SETS DEFAULT) = 0.00000000000000E+00 SSPAR(5) (0 SETS DEFAULT) = 1.00000000000000E+00 NUMBER OF EQUATIONS = 8 ****** COEFFICIENT TABLEAU ****** POLYNOMIAL( 1)%NUM_TERMS = 17 POLYNOMIAL( 1)%TERM( 1)%DEG( 1) = 1 POLYNOMIAL( 1)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 1)%DEG( 3) = 1 POLYNOMIAL( 1)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 1)%COEF = ( -2.90965281036386E-02, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 2)%DEG( 1) = 1 POLYNOMIAL( 1)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 2)%DEG( 4) = 1 POLYNOMIAL( 1)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 2)%COEF = ( 1.23862737830566E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 3)%DEG( 2) = 1 POLYNOMIAL( 1)%TERM( 3)%DEG( 3) = 1 POLYNOMIAL( 1)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 3)%COEF = ( 2.15085387051146E-02, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 4)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 4)%DEG( 2) = 1 POLYNOMIAL( 1)%TERM( 4)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 4)%DEG( 4) = 1 POLYNOMIAL( 1)%TERM( 4)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 4)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 4)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 4)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 4)%COEF = ( 1.67560227205193E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 5)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 5)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 5)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 5)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 5)%DEG( 5) = 1 POLYNOMIAL( 1)%TERM( 5)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 5)%DEG( 7) = 1 POLYNOMIAL( 1)%TERM( 5)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 5)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 6)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 5) = 1 POLYNOMIAL( 1)%TERM( 6)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 6)%DEG( 8) = 1 POLYNOMIAL( 1)%TERM( 6)%COEF = ( -7.00449587631292E-02, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 7)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 7)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 7)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 7)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 7)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 7)%DEG( 6) = 1 POLYNOMIAL( 1)%TERM( 7)%DEG( 7) = 1 POLYNOMIAL( 1)%TERM( 7)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 7)%COEF = ( -2.70632938682637E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 8)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM( 8)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 8)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 8)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 8)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 8)%DEG( 6) = 1 POLYNOMIAL( 1)%TERM( 8)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 8)%DEG( 8) = 1 POLYNOMIAL( 1)%TERM( 8)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM( 9)%DEG( 1) = 1 POLYNOMIAL( 1)%TERM( 9)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM( 9)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM( 9)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM( 9)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM( 9)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM( 9)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM( 9)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM( 9)%COEF = ( -6.15842911676544E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(10)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(10)%DEG( 2) = 1 POLYNOMIAL( 1)%TERM(10)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(10)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(10)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(10)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(10)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(10)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(10)%COEF = ( 4.55239231804051E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(11)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(11)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(11)%DEG( 3) = 1 POLYNOMIAL( 1)%TERM(11)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(11)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(11)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(11)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(11)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(11)%COEF = ( 1.30935803481163E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(12)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(12)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(12)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(12)%DEG( 4) = 1 POLYNOMIAL( 1)%TERM(12)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(12)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(12)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(12)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(12)%COEF = ( -1.29409522551260E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(13)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(13)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(13)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(13)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(13)%DEG( 5) = 1 POLYNOMIAL( 1)%TERM(13)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(13)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(13)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(13)%COEF = ( 4.18258151868904E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(14)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(14)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(14)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(14)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(14)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(14)%DEG( 6) = 1 POLYNOMIAL( 1)%TERM(14)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(14)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(14)%COEF = ( -5.41265877365274E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(15)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(15)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(15)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(15)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(15)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(15)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(15)%DEG( 7) = 1 POLYNOMIAL( 1)%TERM(15)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(15)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(16)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(16)%DEG( 8) = 1 POLYNOMIAL( 1)%TERM(16)%COEF = ( 1.50925910357667E-01, 0.00000000000000E+00) POLYNOMIAL( 1)%TERM(17)%DEG( 1) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 2) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 3) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 4) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 5) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 6) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 7) = 0 POLYNOMIAL( 1)%TERM(17)%DEG( 8) = 0 POLYNOMIAL( 1)%TERM(17)%COEF = ( -2.38536449761034E-02, 0.00000000000000E+00) POLYNOMIAL( 2)%NUM_TERMS = 17 POLYNOMIAL( 2)%TERM( 1)%DEG( 1) = 1 POLYNOMIAL( 2)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 1)%DEG( 3) = 1 POLYNOMIAL( 2)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 1)%COEF = ( 3.40782576514583E-02, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 2)%DEG( 1) = 1 POLYNOMIAL( 2)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 2)%DEG( 4) = 1 POLYNOMIAL( 2)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 2)%COEF = ( -1.56062186852569E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 3)%DEG( 2) = 1 POLYNOMIAL( 2)%TERM( 3)%DEG( 3) = 1 POLYNOMIAL( 2)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 3)%COEF = ( -2.70999143496647E-02, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 4)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 4)%DEG( 2) = 1 POLYNOMIAL( 2)%TERM( 4)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 4)%DEG( 4) = 1 POLYNOMIAL( 2)%TERM( 4)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 4)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 4)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 4)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 4)%COEF = ( -1.96248864280182E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 5)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 5)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 5)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 5)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 5)%DEG( 5) = 1 POLYNOMIAL( 2)%TERM( 5)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 5)%DEG( 7) = 1 POLYNOMIAL( 2)%TERM( 5)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 5)%COEF = ( 2.20738619037920E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 6)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 5) = 1 POLYNOMIAL( 2)%TERM( 6)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 6)%DEG( 8) = 1 POLYNOMIAL( 2)%TERM( 6)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 7)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 7)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 7)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 7)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 7)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 7)%DEG( 6) = 1 POLYNOMIAL( 2)%TERM( 7)%DEG( 7) = 1 POLYNOMIAL( 2)%TERM( 7)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 7)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 8)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM( 8)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 8)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 8)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 8)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 8)%DEG( 6) = 1 POLYNOMIAL( 2)%TERM( 8)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 8)%DEG( 8) = 1 POLYNOMIAL( 2)%TERM( 8)%COEF = ( -8.52868531952443E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM( 9)%DEG( 1) = 1 POLYNOMIAL( 2)%TERM( 9)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM( 9)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM( 9)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM( 9)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM( 9)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM( 9)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM( 9)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM( 9)%COEF = ( 7.21283767677873E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(10)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(10)%DEG( 2) = 1 POLYNOMIAL( 2)%TERM(10)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(10)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(10)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(10)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(10)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(10)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(10)%COEF = ( -5.73583559517377E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(11)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(11)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(11)%DEG( 3) = 1 POLYNOMIAL( 2)%TERM(11)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(11)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(11)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(11)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(11)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(11)%COEF = ( 6.31988450754851E-02, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(12)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(12)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(12)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(12)%DEG( 4) = 1 POLYNOMIAL( 2)%TERM(12)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(12)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(12)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(12)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(12)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(13)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(13)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(13)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(13)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(13)%DEG( 5) = 1 POLYNOMIAL( 2)%TERM(13)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(13)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(13)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(13)%COEF = ( -1.45259531732747E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(14)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(14)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(14)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(14)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(14)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(14)%DEG( 6) = 1 POLYNOMIAL( 2)%TERM(14)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(14)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(14)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(15)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(15)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(15)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(15)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(15)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(15)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(15)%DEG( 7) = 1 POLYNOMIAL( 2)%TERM(15)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(15)%COEF = ( -4.75625621282099E-01, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(16)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(16)%DEG( 8) = 1 POLYNOMIAL( 2)%TERM(16)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 2)%TERM(17)%DEG( 1) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 2) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 3) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 4) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 5) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 6) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 7) = 0 POLYNOMIAL( 2)%TERM(17)%DEG( 8) = 0 POLYNOMIAL( 2)%TERM(17)%COEF = ( 1.91169832725054E-02, 0.00000000000000E+00) POLYNOMIAL( 3)%NUM_TERMS = 17 POLYNOMIAL( 3)%TERM( 1)%DEG( 1) = 1 POLYNOMIAL( 3)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 1)%DEG( 3) = 1 POLYNOMIAL( 3)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 1)%COEF = ( -6.02977987152187E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 2)%DEG( 1) = 1 POLYNOMIAL( 3)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 2)%DEG( 4) = 1 POLYNOMIAL( 3)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 2)%COEF = ( -1.31668276721907E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM( 3)%DEG( 2) = 1 POLYNOMIAL( 3)%TERM( 3)%DEG( 3) = 1 POLYNOMIAL( 3)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 3)%COEF = ( -7.58247385552503E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 4)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM( 4)%DEG( 2) = 1 POLYNOMIAL( 3)%TERM( 4)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 4)%DEG( 4) = 1 POLYNOMIAL( 3)%TERM( 4)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 4)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 4)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 4)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 4)%COEF = ( 1.04706028642251E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 5)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM( 5)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 5)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 5)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 5)%DEG( 5) = 1 POLYNOMIAL( 3)%TERM( 5)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 5)%DEG( 7) = 1 POLYNOMIAL( 3)%TERM( 5)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 5)%COEF = ( -5.51846547594801E-02, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 6)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM( 6)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 6)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 6)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 6)%DEG( 5) = 1 POLYNOMIAL( 3)%TERM( 6)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 6)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 6)%DEG( 8) = 1 POLYNOMIAL( 3)%TERM( 6)%COEF = ( 1.23100969126526E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 7)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM( 7)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 7)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 7)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 7)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 7)%DEG( 6) = 1 POLYNOMIAL( 3)%TERM( 7)%DEG( 7) = 1 POLYNOMIAL( 3)%TERM( 7)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 7)%COEF = ( 3.18608752805224E-02, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 8)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM( 8)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 8)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 8)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 8)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 8)%DEG( 6) = 1 POLYNOMIAL( 3)%TERM( 8)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 8)%DEG( 8) = 1 POLYNOMIAL( 3)%TERM( 8)%COEF = ( 2.13217132988111E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM( 9)%DEG( 1) = 1 POLYNOMIAL( 3)%TERM( 9)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM( 9)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM( 9)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM( 9)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM( 9)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM( 9)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM( 9)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM( 9)%COEF = ( -2.14660295785905E-02, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(10)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(10)%DEG( 2) = 1 POLYNOMIAL( 3)%TERM(10)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(10)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(10)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(10)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(10)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(10)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(10)%COEF = ( -6.01805216517440E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(11)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(11)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(11)%DEG( 3) = 1 POLYNOMIAL( 3)%TERM(11)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(11)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(11)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(11)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(11)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(11)%COEF = ( 0.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(12)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(12)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(12)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(12)%DEG( 4) = 1 POLYNOMIAL( 3)%TERM(12)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(12)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(12)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(12)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(12)%COEF = ( 2.44181586600211E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(13)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(13)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(13)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(13)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(13)%DEG( 5) = 1 POLYNOMIAL( 3)%TERM(13)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(13)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(13)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(13)%COEF = ( 3.63148829331866E-02, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(14)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(14)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(14)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(14)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(14)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(14)%DEG( 6) = 1 POLYNOMIAL( 3)%TERM(14)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(14)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(14)%COEF = ( -2.09664074370650E-02, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(15)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(15)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(15)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(15)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(15)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(15)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(15)%DEG( 7) = 1 POLYNOMIAL( 3)%TERM(15)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(15)%COEF = ( -7.13438431923148E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(16)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(16)%DEG( 8) = 1 POLYNOMIAL( 3)%TERM(16)%COEF = ( 6.15504845632630E-01, 0.00000000000000E+00) POLYNOMIAL( 3)%TERM(17)%DEG( 1) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 2) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 3) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 4) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 5) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 6) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 7) = 0 POLYNOMIAL( 3)%TERM(17)%DEG( 8) = 0 POLYNOMIAL( 3)%TERM(17)%COEF = ( 5.47700898171009E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%NUM_TERMS = 17 POLYNOMIAL( 4)%TERM( 1)%DEG( 1) = 1 POLYNOMIAL( 4)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 1)%DEG( 3) = 1 POLYNOMIAL( 4)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 1)%COEF = ( 4.78568869541663E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 2)%DEG( 1) = 1 POLYNOMIAL( 4)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 2)%DEG( 4) = 1 POLYNOMIAL( 4)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 2)%COEF = ( 1.12420351802601E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM( 3)%DEG( 2) = 1 POLYNOMIAL( 4)%TERM( 3)%DEG( 3) = 1 POLYNOMIAL( 4)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 3)%COEF = ( 6.47403003665440E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 4)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM( 4)%DEG( 2) = 1 POLYNOMIAL( 4)%TERM( 4)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 4)%DEG( 4) = 1 POLYNOMIAL( 4)%TERM( 4)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 4)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 4)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 4)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 4)%COEF = ( -8.31026120840329E-02, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 5)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM( 5)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 5)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 5)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 5)%DEG( 5) = 1 POLYNOMIAL( 4)%TERM( 5)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 5)%DEG( 7) = 1 POLYNOMIAL( 4)%TERM( 5)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 5)%COEF = ( 3.90625000000000E-02, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 6)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM( 6)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 6)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 6)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 6)%DEG( 5) = 1 POLYNOMIAL( 4)%TERM( 6)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 6)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 6)%DEG( 8) = 1 POLYNOMIAL( 4)%TERM( 6)%COEF = ( 1.75112396907823E-02, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 7)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM( 7)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 7)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 7)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 7)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 7)%DEG( 6) = 1 POLYNOMIAL( 4)%TERM( 7)%DEG( 7) = 1 POLYNOMIAL( 4)%TERM( 7)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 7)%COEF = ( 6.76582346706593E-02, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 8)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM( 8)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 8)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 8)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 8)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 8)%DEG( 6) = 1 POLYNOMIAL( 4)%TERM( 8)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 8)%DEG( 8) = 1 POLYNOMIAL( 4)%TERM( 8)%COEF = ( -1.01101189493172E-02, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM( 9)%DEG( 1) = 1 POLYNOMIAL( 4)%TERM( 9)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM( 9)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM( 9)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM( 9)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM( 9)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM( 9)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM( 9)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM( 9)%COEF = ( 1.96623270912993E-04, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(10)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(10)%DEG( 2) = 1 POLYNOMIAL( 4)%TERM(10)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(10)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(10)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(10)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(10)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(10)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(10)%COEF = ( 5.00438376735814E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(11)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(11)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(11)%DEG( 3) = 1 POLYNOMIAL( 4)%TERM(11)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(11)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(11)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(11)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(11)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(11)%COEF = ( -5.00000000000000E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(12)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(12)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(12)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(12)%DEG( 4) = 1 POLYNOMIAL( 4)%TERM(12)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(12)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(12)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(12)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(12)%COEF = ( 5.05897096673464E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(13)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(13)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(13)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(13)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(13)%DEG( 5) = 1 POLYNOMIAL( 4)%TERM(13)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(13)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(13)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(13)%COEF = ( -2.64395379672260E-02, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(14)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(14)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(14)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(14)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(14)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(14)%DEG( 6) = 1 POLYNOMIAL( 4)%TERM(14)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(14)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(14)%COEF = ( 1.95686833484385E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(15)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(15)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(15)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(15)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(15)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(15)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(15)%DEG( 7) = 1 POLYNOMIAL( 4)%TERM(15)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(15)%COEF = ( 1.95312500000000E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(16)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(16)%DEG( 8) = 1 POLYNOMIAL( 4)%TERM(16)%COEF = ( 2.26388865536500E-01, 0.00000000000000E+00) POLYNOMIAL( 4)%TERM(17)%DEG( 1) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 2) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 3) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 4) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 5) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 6) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 7) = 0 POLYNOMIAL( 4)%TERM(17)%DEG( 8) = 0 POLYNOMIAL( 4)%TERM(17)%COEF = ( -3.39187450014371E-01, 0.00000000000000E+00) POLYNOMIAL( 5)%NUM_TERMS = 3 POLYNOMIAL( 5)%TERM( 1)%DEG( 1) = 2 POLYNOMIAL( 5)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 5)%TERM( 1)%DEG( 3) = 0 POLYNOMIAL( 5)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 5)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 5)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 5)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 5)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 5)%TERM( 1)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 5)%TERM( 2)%DEG( 1) = 0 POLYNOMIAL( 5)%TERM( 2)%DEG( 2) = 2 POLYNOMIAL( 5)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 5)%TERM( 2)%DEG( 4) = 0 POLYNOMIAL( 5)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 5)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 5)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 5)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 5)%TERM( 2)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 5)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 2) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 3) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 5)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 5)%TERM( 3)%COEF = ( -1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 6)%NUM_TERMS = 3 POLYNOMIAL( 6)%TERM( 1)%DEG( 1) = 0 POLYNOMIAL( 6)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 6)%TERM( 1)%DEG( 3) = 2 POLYNOMIAL( 6)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 6)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 6)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 6)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 6)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 6)%TERM( 1)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 6)%TERM( 2)%DEG( 1) = 0 POLYNOMIAL( 6)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 6)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 6)%TERM( 2)%DEG( 4) = 2 POLYNOMIAL( 6)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 6)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 6)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 6)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 6)%TERM( 2)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 6)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 2) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 3) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 6)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 6)%TERM( 3)%COEF = ( -1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 7)%NUM_TERMS = 3 POLYNOMIAL( 7)%TERM( 1)%DEG( 1) = 0 POLYNOMIAL( 7)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 7)%TERM( 1)%DEG( 3) = 0 POLYNOMIAL( 7)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 7)%TERM( 1)%DEG( 5) = 2 POLYNOMIAL( 7)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 7)%TERM( 1)%DEG( 7) = 0 POLYNOMIAL( 7)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 7)%TERM( 1)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 7)%TERM( 2)%DEG( 1) = 0 POLYNOMIAL( 7)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 7)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 7)%TERM( 2)%DEG( 4) = 0 POLYNOMIAL( 7)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 7)%TERM( 2)%DEG( 6) = 2 POLYNOMIAL( 7)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 7)%TERM( 2)%DEG( 8) = 0 POLYNOMIAL( 7)%TERM( 2)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 7)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 2) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 3) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 7)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 7)%TERM( 3)%COEF = ( -1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 8)%NUM_TERMS = 3 POLYNOMIAL( 8)%TERM( 1)%DEG( 1) = 0 POLYNOMIAL( 8)%TERM( 1)%DEG( 2) = 0 POLYNOMIAL( 8)%TERM( 1)%DEG( 3) = 0 POLYNOMIAL( 8)%TERM( 1)%DEG( 4) = 0 POLYNOMIAL( 8)%TERM( 1)%DEG( 5) = 0 POLYNOMIAL( 8)%TERM( 1)%DEG( 6) = 0 POLYNOMIAL( 8)%TERM( 1)%DEG( 7) = 2 POLYNOMIAL( 8)%TERM( 1)%DEG( 8) = 0 POLYNOMIAL( 8)%TERM( 1)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 8)%TERM( 2)%DEG( 1) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 2) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 3) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 4) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 5) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 6) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 7) = 0 POLYNOMIAL( 8)%TERM( 2)%DEG( 8) = 2 POLYNOMIAL( 8)%TERM( 2)%COEF = ( 1.00000000000000E+00, 0.00000000000000E+00) POLYNOMIAL( 8)%TERM( 3)%DEG( 1) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 2) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 3) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 4) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 5) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 6) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 7) = 0 POLYNOMIAL( 8)%TERM( 3)%DEG( 8) = 0 POLYNOMIAL( 8)%TERM( 3)%COEF = ( -1.00000000000000E+00, 0.00000000000000E+00) GENERALIZED PLP BEZOUT NUMBER (BPLP) = 256 BASED ON THE FOLLOWING SYSTEM PARTITION: P( 1) = {{1,2,3,4,5,6,7,8}} P( 2) = {{1,2,3,4,5,6,7,8}} P( 3) = {{1,2,3,4,5,6,7,8}} P( 4) = {{1,2,3,4,5,6,7,8}} P( 5) = {{1,2,3,4,5,6,7,8}} P( 6) = {{1,2,3,4,5,6,7,8}} P( 7) = {{1,2,3,4,5,6,7,8}} P( 8) = {{1,2,3,4,5,6,7,8}} GENERALIZED PLP BEZOUT NUMBER (BPLP) = 96 BASED ON THE FOLLOWING SYSTEM PARTITION: P( 1) = {{1,2,5,6},{3,4,7,8}} P( 2) = {{1,2,5,6},{3,4,7,8}} P( 3) = {{1,2,5,6},{3,4,7,8}} P( 4) = {{1,2,5,6},{3,4,7,8}} P( 5) = {{1,2,5,6},{3,4,7,8}} P( 6) = {{1,2,5,6},{3,4,7,8}} P( 7) = {{1,2,5,6},{3,4,7,8}} P( 8) = {{1,2,5,6},{3,4,7,8}} PATH NUMBER = 1 ARCLEN = 1.28131220396818E+01 NFE = 178 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.97318001552014E-12 X( 1) = ( -4.68812311870644E+12, 1.36663234380927E+14) X( 2) = ( 1.36663234380926E+14, 4.68812311870628E+12) X( 3) = ( 2.62650325728421E-01, 3.35459744114971E-01) X( 4) = ( 9.67434839262407E-02, 3.44741322948753E+00) X( 5) = ( -5.99203469950116E+00, -5.56976907146642E+00) X( 6) = ( -1.45819191659967E+00, 1.98116799869560E+00) X( 7) = ( -9.58760678473091E+10, 7.67917400914658E+13) X( 8) = ( -7.67917400914659E+13, -9.58760678471873E+10) X( 9) = ( 8.65973959207622E-15, 9.10382880192628E-15) PATH NUMBER = 2 ARCLEN = 4.75276882396933E+01 NFE = 237 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.40443527482436E-13 X( 1) = ( 5.03968635957377E+14, -4.61113236904094E+13) X( 2) = ( -4.61113236904071E+13, -5.03968635957380E+14) X( 3) = ( 9.75520262908556E-01, 1.50487415519503E+00) X( 4) = ( -6.06568421404215E+00, 8.30488870375774E+00) X( 5) = ( -1.85442382372649E+01, -6.68282600122044E+00) X( 6) = ( 6.43930192753342E-01, -4.63625031690354E+00) X( 7) = ( -8.32387458815294E+13, -2.23342511418664E+14) X( 8) = ( -2.23342511418663E+14, 8.32387458815306E+13) X( 9) = ( -6.66133814775094E-16, -8.60422844084496E-16) PATH NUMBER = 3 ARCLEN = 3.67498572010943E+00 NFE = 101 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.37443113861194E-13 X( 1) = ( -1.77426252777192E-01, -4.79744070589443E-15) X( 2) = ( -9.84134099005572E-01, 1.23650124763146E-14) X( 3) = ( -9.99539785563458E-01, -2.93516840736575E-14) X( 4) = ( 3.03350799515865E-02, -1.67609463337487E-14) X( 5) = ( 9.06036666598339E-01, 3.37470803483856E-14) X( 6) = ( -4.23199195154467E-01, 2.58970014254136E-14) X( 7) = ( -3.37009206790820E-01, -2.37578690993572E-14) X( 8) = ( -9.41501351320397E-01, -4.43630298528148E-15) X( 9) = ( 1.55508231890239E-01, -4.31681545990077E-01) PATH NUMBER = 4 ARCLEN = 6.14001030131391E+00 NFE = 127 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.05139624521203E-14 X( 1) = ( 1.06989712752767E+15, -3.59352678705648E+14) X( 2) = ( -3.59352678705648E+14, -1.06989712752767E+15) X( 3) = ( -3.67421057474348E-01, 3.06972737479819E-01) X( 4) = ( -4.00851917686063E-01, -1.21687189297555E-01) X( 5) = ( 4.49641404842324E+14, 1.16465971163348E+15) X( 6) = ( -1.16465971163348E+15, 4.49641404842324E+14) X( 7) = ( 4.31305646406564E-01, -1.14017716406510E-01) X( 8) = ( -4.07653464594750E-01, -4.34439562028677E-01) X( 9) = ( -3.33066907387547E-16, -3.88578058618805E-16) PATH NUMBER = 5 ARCLEN = 7.96410800977882E+00 NFE = 108 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.83680693596968E-15 X( 1) = ( -8.45196877409835E-01, 7.92235415426024E-01) X( 2) = ( 1.12566385494450E+00, 5.94844452320603E-01) X( 3) = ( -3.54281084626982E-01, 8.41957515842726E-02) X( 4) = ( -9.39458343171758E-01, -3.17512345375022E-02) X( 5) = ( -1.16156403958416E+00, 1.51629198529726E+00) X( 6) = ( 1.72860198938115E+00, 1.01889865593729E+00) X( 7) = ( -9.87295286067430E-01, -5.58588121492123E-03) X( 8) = ( -1.62572967705491E-01, 3.39227011099110E-02) X( 9) = ( -1.46089672926839E+00, 7.77746893345623E-01) PATH NUMBER = 6 ARCLEN = 3.70877863768666E+01 NFE = 237 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.66384808686470E-12 X( 1) = ( -3.09341001513798E+13, -9.38854040459371E+12) X( 2) = ( -9.38854040459582E+12, 3.09341001513846E+13) X( 3) = ( 1.94695108654604E-01, -1.14516915920560E+00) X( 4) = ( -4.55742607686115E-01, 1.73681392553232E+00) X( 5) = ( 1.19568749242829E+01, 7.52832267269614E+00) X( 6) = ( 1.93837594137993E-01, -2.75731057974336E+00) X( 7) = ( 1.75365142571057E+13, 4.69559248668396E+12) X( 8) = ( -4.69559248668137E+12, 1.75365142571082E+13) X( 9) = ( 1.06581410364015E-14, 5.63438184997267E-15) PATH NUMBER = 7 ARCLEN = 3.59416333745506E+01 NFE = 214 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.32878581961392E-13 X( 1) = ( -8.17515578953426E+13, 4.76413493755506E+14) X( 2) = ( 4.76413493755506E+14, 8.17515578953425E+13) X( 3) = ( 2.41843904717902E-01, 4.22473046285439E-01) X( 4) = ( 2.69143430446357E-01, 4.19176576780283E+00) X( 5) = ( -7.22405536179091E+00, -7.47909950436445E+00) X( 6) = ( -1.88688951236610E+00, 2.46375684619348E+00) X( 7) = ( -3.70459977837651E+13, 2.68912553809903E+14) X( 8) = ( -2.68912553809903E+14, -3.70459977837651E+13) X( 9) = ( 2.77555756156289E-15, 2.22044604925031E-15) PATH NUMBER = 8 ARCLEN = 9.04221683947724E+00 NFE = 162 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 7.69517887192478E-14 X( 1) = ( -6.63730983313674E+00, -3.37024022615234E+01) X( 2) = ( -5.12584519483177E+00, 2.72718303846448E+01) X( 3) = ( 8.23452083654023E+14, 8.58585027192926E+13) X( 4) = ( -8.58585027192922E+13, 8.23452083654024E+14) X( 5) = ( -2.36900955746572E+16, -1.32585375438259E+16) X( 6) = ( 1.32585375438259E+16, -2.36900955746571E+16) X( 7) = ( 2.76786086276549E+00, -1.81595949276651E+00) X( 8) = ( -1.00648862878868E+00, 1.29109091402415E+00) X( 9) = ( 0.00000000000000E+00, 1.11022302462516E-16) PATH NUMBER = 9 ARCLEN = 1.46279536891286E+01 NFE = 207 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.15177032495645E-14 X( 1) = ( -2.11425926844066E+13, 1.72037577307898E+14) X( 2) = ( -1.72037577307898E+14, -2.11425926844066E+13) X( 3) = ( -4.21228971197384E-01, -4.58913175480601E-01) X( 4) = ( 1.05371602800178E+00, -1.81269502663675E-01) X( 5) = ( 1.57458063926332E+14, -7.23970126184296E+13) X( 6) = ( -7.23970126184295E+13, -1.57458063926332E+14) X( 7) = ( 7.11014294424574E-01, 7.79890529163677E-01) X( 8) = ( -1.17675691585771E+00, 4.68634890632046E-01) X( 9) = ( 3.99680288865056E-15, -6.49480469405717E-15) PATH NUMBER = 10 ARCLEN = 1.35808481374228E+01 NFE = 180 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.61499359219293E-15 X( 1) = ( 6.17653599891829E-01, -6.36907669143173E-02) X( 2) = ( -7.90592480178201E-01, -4.97586714404775E-02) X( 3) = ( -8.96723890425260E-01, -6.96526650740098E-02) X( 4) = ( 4.67530808227781E-01, -1.33593781852390E-01) X( 5) = ( 4.08955073213484E-01, -5.09587694769521E-01) X( 6) = ( -1.06340978278925E+00, -1.95971935180570E-01) X( 7) = ( 9.07104450970909E-01, 9.39529209909668E-02) X( 8) = ( -4.68117719657311E-01, 1.82059147162842E-01) X( 9) = ( 1.46286692868714E+00, 8.01614467086453E-01) PATH NUMBER = 11 ARCLEN = 5.37998990289468E+02 NFE = 726 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 9.15266338188155E-13 X( 1) = ( 2.27962463355709E+01, -1.10654424455428E+01) X( 2) = ( -1.33275482994241E+01, 1.40965561976714E+01) X( 3) = ( -1.56705807240068E+13, -5.46925841636636E+13) X( 4) = ( -5.46925841636634E+13, 1.56705807240062E+13) X( 5) = ( 1.90890571029270E+14, -1.87620958336193E+15) X( 6) = ( 1.87620958336193E+15, 1.90890571029269E+14) X( 7) = ( 2.39488179154370E-01, -6.94579328058866E+00) X( 8) = ( -1.79766877326257E+00, 3.27784390012773E-01) X( 9) = ( 1.44328993201270E-15, 4.71844785465692E-16) PATH NUMBER = 12 ARCLEN = 8.61145933633052E+00 NFE = 170 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.88347191338802E-18 X( 1) = ( -9.99996101363610E-01, 1.62432978856020E-16) X( 2) = ( 2.79235699365525E-03, -6.39400252365255E-16) X( 3) = ( -7.87055930991066E-01, 1.84410947142838E-16) X( 4) = ( -6.16881643017351E-01, 2.25394910997989E-16) X( 5) = ( -9.64617850094969E-01, 0.00000000000000E+00) X( 6) = ( 2.63652049637700E-01, -6.13715029597035E-16) X( 7) = ( -7.91552581806904E-01, 2.01165662159061E-16) X( 8) = ( -6.11101063846910E-01, 0.00000000000000E+00) X( 9) = ( -4.15814594308820E-01, -6.26738416969252E-01) PATH NUMBER = 13 ARCLEN = 1.38345665839938E+01 NFE = 199 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.18671760187826E-15 X( 1) = ( 8.10309088191083E-01, 2.65552743188495E-15) X( 2) = ( 5.86002714665153E-01, 2.01004902199171E-15) X( 3) = ( 5.45184304735715E-01, -2.09363413010314E-16) X( 4) = ( -8.38316213531529E-01, -1.85010550176931E-14) X( 5) = ( 9.37646003039468E-01, 9.04984871554547E-16) X( 6) = ( 3.47591675654211E-01, 1.60532631531640E-15) X( 7) = ( 3.68121016397535E-01, -3.18597343142448E-15) X( 8) = ( 9.29777885995598E-01, 1.23945983126574E-14) X( 9) = ( -1.63223051865495E-01, 1.93784395129653E-01) PATH NUMBER = 14 ARCLEN = 2.91644383373811E+02 NFE = 461 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.88995978989988E-15 X( 1) = ( -3.00885004528297E+14, -6.97357121297707E+14) X( 2) = ( 6.97357121297707E+14, -3.00885004528297E+14) X( 3) = ( -2.72827919201391E-01, -6.14130374276733E-01) X( 4) = ( -1.02609297765551E+00, 1.65580328942657E-01) X( 5) = ( -1.13616812113119E+15, -3.50729453434280E+14) X( 6) = ( -3.50729453434280E+14, 1.13616812113119E+15) X( 7) = ( -8.18113712794237E-01, -1.79983395342702E-02) X( 8) = ( -2.45657356474988E-01, 1.80176831311342E-01) X( 9) = ( -7.77156117237610E-16, -5.55111512312578E-17) PATH NUMBER = 15 ARCLEN = 1.26937683285245E+01 NFE = 175 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.50535527814252E-14 X( 1) = ( 1.16231199225214E+00, -1.87679591182667E-01) X( 2) = ( 3.33772014514003E-01, 6.53566596499132E-01) X( 3) = ( 6.06760099173187E+00, -1.30472521573230E+00) X( 4) = ( -1.32197811553589E+00, -5.98841381705157E+00) X( 5) = ( -1.53635384798664E+00, -1.93378873591131E-01) X( 6) = ( 2.52300382664370E-01, -1.17755816865436E+00) X( 7) = ( -5.91454538188601E+00, 7.03796500475207E-01) X( 8) = ( 7.13926056317323E-01, 5.83062672224837E+00) X( 9) = ( 1.51229114422788E-01, 3.04819362228380E-02) PATH NUMBER = 16 ARCLEN = 6.92454738232423E+00 NFE = 126 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.77353203171806E-13 X( 1) = ( -8.01563642853246E-01, -4.27103037978817E-01) X( 2) = ( 8.40201275122707E-01, -4.07462208321089E-01) X( 3) = ( -3.63818630922403E+00, -3.13016201582524E+00) X( 4) = ( 3.19905480977762E+00, -3.55983666075757E+00) X( 5) = ( 1.08100630676357E+00, 8.35636949103319E-02) X( 6) = ( 2.00993027177798E-01, -4.49432910599007E-01) X( 7) = ( 6.88801025268024E-01, -3.94152999316949E+00) X( 8) = ( -4.06296944890635E+00, -6.68213220542693E-01) X( 9) = ( 1.81231475527714E-01, -2.37265857683588E-01) PATH NUMBER = 17 ARCLEN = 1.03707883723803E+01 NFE = 149 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.30620400511869E-14 X( 1) = ( -3.85879098943321E+14, 1.65540882448604E+15) X( 2) = ( 1.65540882448604E+15, 3.85879098943321E+14) X( 3) = ( -2.40605941379952E-01, 1.98351707833757E-01) X( 4) = ( 3.02885631755228E-01, 3.45760032535714E-01) X( 5) = ( -1.34230782681325E+15, 1.81276841578323E+15) X( 6) = ( 1.81276841578323E+15, 1.34230782681325E+15) X( 7) = ( -5.36828911547947E-01, -3.21046569930255E-01) X( 8) = ( -1.41776007317474E-01, 9.69195603467200E-02) X( 9) = ( 3.33066907387547E-16, 9.15933995315754E-16) PATH NUMBER = 18 ARCLEN = 6.88750320385733E+00 NFE = 147 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.29995704076617E-18 X( 1) = ( 1.16805813859714E+00, 2.64606830344746E-01) X( 2) = ( 4.41763649679254E-01, -6.99641452928462E-01) X( 3) = ( 2.18650479698318E+00, 2.11047855621063E+00) X( 4) = ( -2.22789002770864E+00, 2.07127435811125E+00) X( 5) = ( 1.11182382946579E+00, -1.91784047471524E-01) X( 6) = ( 3.68368798447796E-01, 5.78849443787667E-01) X( 7) = ( -1.37945707030438E+00, -1.76735543503195E+00) X( 8) = ( 1.94659755754041E+00, -1.25243707470597E+00) X( 9) = ( -8.85377153938158E-02, 1.91107549966979E-03) PATH NUMBER = 19 ARCLEN = 5.07109599936369E+02 NFE = 661 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.62085615608261E-16 X( 1) = ( 1.08707913283362E+00, 1.12206976693261E-01) X( 2) = ( 2.52695630148077E-01, -4.82706657214905E-01) X( 3) = ( -7.60926702188131E-01, 3.00226576434989E-01) X( 4) = ( 7.73530340563732E-01, 2.95334787449215E-01) X( 5) = ( 1.11306763775108E+00, -1.06662124290859E-01) X( 6) = ( -2.25085865185255E-01, -5.27452750639071E-01) X( 7) = ( 5.60758078600111E-01, -2.75952812846165E-01) X( 8) = ( -8.89908277794076E-01, -1.73886200384034E-01) X( 9) = ( -1.07253331094511E+00, -3.30265048691959E-02) PATH NUMBER = 20 ARCLEN = 4.34769560243156E+00 NFE = 156 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.12994630712465E-16 X( 1) = ( -1.78654801865840E-02, -2.42461036816496E-01) X( 2) = ( 1.02882744214239E+00, -4.21031037065328E-03) X( 3) = ( -3.32182462985674E+00, 2.10811115213515E+00) X( 4) = ( -2.17826339358012E+00, -3.21484333266451E+00) X( 5) = ( 1.09509784985601E+00, -4.19501638508560E-02) X( 6) = ( 1.00815582087486E-01, 4.55678906801469E-01) X( 7) = ( 2.99182814752126E+00, -1.24565781632953E+00) X( 8) = ( 1.30852462014192E+00, 2.84808864862652E+00) X( 9) = ( 4.16724044659178E-03, 6.98473761480181E-02) PATH NUMBER = 21 ARCLEN = 3.75576498058983E+01 NFE = 230 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.20138870966074E-14 X( 1) = ( 5.66681012997789E-01, 9.49812332342608E-01) X( 2) = ( -1.05747950726404E+00, 2.04572108301208E-01) X( 3) = ( -5.13046264129965E+13, 4.14327789257192E+13) X( 4) = ( 4.14327789257192E+13, 5.13046264129967E+13) X( 5) = ( 2.14194623548208E+15, -6.36147286417629E+14) X( 6) = ( 6.36147286417629E+14, 2.14194623548208E+15) X( 7) = ( -1.38766663667076E+00, 4.01586428293570E-01) X( 8) = ( 1.56734772843837E-01, 3.36972371950278E-01) X( 9) = ( 7.77156117237610E-16, -9.15933995315754E-16) PATH NUMBER = 22 ARCLEN = 1.63049478854804E+02 NFE = 393 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.01530656571487E-15 X( 1) = ( 1.52882796872256E+00, -5.93006252708740E-01) X( 2) = ( -7.34212672558196E-01, -1.23479827937268E+00) X( 3) = ( -6.27822700511963E-01, 2.57790977457449E-01) X( 4) = ( 8.42157099175800E-01, 1.92181515531187E-01) X( 5) = ( 1.34052542652375E+00, -1.04876828069925E+00) X( 6) = ( -1.25119464901040E+00, -1.12364654685896E+00) X( 7) = ( 7.03035713465315E-01, 2.44536619572995E-01) X( 8) = ( -7.83389442654811E-01, 2.19454038373670E-01) X( 9) = ( -7.12698055649068E-01, -7.65021598874602E-01) PATH NUMBER = 23 ARCLEN = 3.57857328889957E+01 NFE = 205 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.00851867116788E-15 X( 1) = ( 9.51044815428272E-01, 3.30314788813084E-03) X( 2) = ( -3.09237559760445E-01, 1.01586679057785E-02) X( 3) = ( -1.67483475490117E-01, 4.01571993917389E-02) X( 4) = ( 9.86715940318370E-01, 6.81621431787958E-03) X( 5) = ( 3.58070010433481E-01, -1.34366160073985E-01) X( 6) = ( -9.44687224087698E-01, -5.09295469577899E-02) X( 7) = ( 8.88159812042096E-01, 2.54383575921023E-02) X( 8) = ( -4.62819970372659E-01, 4.88166638087575E-02) X( 9) = ( 1.78664949929667E+00, 7.26712773506335E+00) PATH NUMBER = 24 ARCLEN = 1.03269095608157E+01 NFE = 140 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.94411446426841E-14 X( 1) = ( 1.27925568125788E+00, 2.82792348757027E-01) X( 2) = ( -4.22066367675192E-01, 8.57125197528307E-01) X( 3) = ( 6.69598674729508E+00, -1.38313258399835E+00) X( 4) = ( -1.39815366279856E+00, -6.62404834220216E+00) X( 5) = ( -1.40358102984341E+00, 1.44410309311772E-01) X( 6) = ( 2.03645160065723E-01, 9.95317397174933E-01) X( 7) = ( 2.31705420969464E-01, -6.46288795781497E+00) X( 8) = ( 6.53969930518643E+00, 2.28983949423503E-01) X( 9) = ( -4.48241039626215E-02, 4.03307946954118E-02) PATH NUMBER = 25 ARCLEN = 9.91394276328260E+00 NFE = 128 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.52968200081570E-15 X( 1) = ( 7.91094851343680E+13, -7.64861916065379E+14) X( 2) = ( 7.64861916065379E+14, 7.91094851343680E+13) X( 3) = ( -6.81736244765053E-01, -4.24674711317191E-01) X( 4) = ( 7.97838477594439E-01, -2.27483463286841E-01) X( 5) = ( -3.06710728082736E+14, -9.73209783896462E+14) X( 6) = ( 9.73209783896463E+14, -3.06710728082736E+14) X( 7) = ( -8.88398688000389E-01, 6.12027860710752E-02) X( 8) = ( -4.39810011730760E-01, -2.52543438150895E-01) X( 9) = ( -1.11022302462516E-16, 7.77156117237610E-16) PATH NUMBER = 26 ARCLEN = 2.04917244427531E+01 NFE = 153 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.43451143664486E-14 X( 1) = ( -1.32795196370748E+15, -7.94099463257786E+14) X( 2) = ( 7.94099463257786E+14, -1.32795196370748E+15) X( 3) = ( -5.42208682168513E-01, -5.77054482053827E-01) X( 4) = ( 1.07329380781683E+00, -1.98245798242311E-01) X( 5) = ( -1.32168747602277E+15, 1.74569065148824E+15) X( 6) = ( 1.74569065148823E+15, 1.32168747602277E+15) X( 7) = ( -1.10424490365911E+00, -2.54069699684807E-01) X( 8) = ( -3.84658829915540E-01, 4.28308014199849E-01) X( 9) = ( -4.44089209850063E-16, -4.16333634234434E-16) PATH NUMBER = 27 ARCLEN = 5.20577863735281E+00 NFE = 127 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.94526095082827E-15 X( 1) = ( 1.04178169441146E+13, 8.69333097226214E+14) X( 2) = ( 8.69333097226214E+14, -1.04178169441149E+13) X( 3) = ( -2.01943122049798E-02, 4.04009945858891E-01) X( 4) = ( 8.31753554802623E-01, -2.00567702802609E-01) X( 5) = ( -1.22129798549178E+15, 1.48605434068264E+14) X( 6) = ( -1.48605434068263E+14, -1.22129798549178E+15) X( 7) = ( -4.65950312443383E-01, 2.67385040285712E-01) X( 8) = ( -3.64301888143482E-01, 8.29354132953790E-02) X( 9) = ( -3.33066907387547E-16, 5.27355936696949E-16) PATH NUMBER = 28 ARCLEN = 2.65245179076856E+01 NFE = 207 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.93918828905320E-17 X( 1) = ( -8.28253379807935E-01, 5.66208311141470E-01) X( 2) = ( -9.39953195542937E-01, -4.98922658704704E-01) X( 3) = ( -2.88293160145085E-01, -1.92429259310048E-01) X( 4) = ( 9.78330979423583E-01, -5.67047762338649E-02) X( 5) = ( 1.28667055008929E+00, 7.48750669668275E-02) X( 6) = ( 1.18237411569360E-01, -8.14797468275652E-01) X( 7) = ( 4.88755859727675E-01, 1.68192955396118E-01) X( 8) = ( -8.93239162923570E-01, 9.20305511971850E-02) X( 9) = ( 3.10970405338154E-01, -4.19127065932796E-01) PATH NUMBER = 29 ARCLEN = 8.85446068789414E+00 NFE = 141 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.41503897789377E-17 X( 1) = ( 8.82849248270716E-02, -2.09844535749672E-01) X( 2) = ( 1.01812160806675E+00, 1.81963617285457E-02) X( 3) = ( 6.08392880071458E-01, 1.71205029496556E-03) X( 4) = ( -7.93638933696674E-01, 1.31243461674665E-03) X( 5) = ( -4.22090915226493E-01, -5.75142790295975E-01) X( 6) = ( 1.09620780507533E+00, -2.21456685144900E-01) X( 7) = ( -9.54400887068395E-01, 2.08881184804464E-02) X( 8) = ( 3.06255751857134E-01, 6.50947408694792E-02) X( 9) = ( -3.53334050794062E-01, 1.64321323003135E-01) PATH NUMBER = 30 ARCLEN = 7.45798468507404E+00 NFE = 161 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.90328835025646E-12 X( 1) = ( 4.16915381126867E+13, -1.88129992509394E+13) X( 2) = ( 1.88129992509392E+13, 4.16915381126857E+13) X( 3) = ( -3.30740317472709E-01, 6.18871732025788E-01) X( 4) = ( 4.32950976946130E-01, -3.71650170804494E+00) X( 5) = ( 1.05971171140609E+00, 5.37805681608669E-01) X( 6) = ( 1.12502924276234E-01, -4.61304673421384E-01) X( 7) = ( 3.68339215320663E+11, -2.71120930849526E+12) X( 8) = ( -2.71120930849530E+12, -3.68339215320722E+11) X( 9) = ( 9.32587340685131E-15, 1.29340982368831E-14) PATH NUMBER = 31 ARCLEN = 4.47421024385894E+01 NFE = 237 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.82827539548787E-15 X( 1) = ( 2.30506045454831E+15, -7.78515936573353E+14) X( 2) = ( -7.78515936573354E+14, -2.30506045454831E+15) X( 3) = ( -3.31568292511495E-01, 5.95861859006165E-01) X( 4) = ( -1.12943331532645E+00, 3.44468351242309E-01) X( 5) = ( 3.27032892006872E+15, 1.95293740222478E+15) X( 6) = ( -1.95293740222478E+15, 3.27032892006872E+15) X( 7) = ( -1.05284124681766E+00, 1.94213433878986E-01) X( 8) = ( -5.01783706453979E-01, -6.13255707442164E-02) X( 9) = ( -1.11022302462516E-16, -1.94289029309402E-16) PATH NUMBER = 32 ARCLEN = 1.57391717242020E+01 NFE = 169 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.80242722673518E-12 X( 1) = ( 1.45566148330375E+14, 2.45715282529433E+14) X( 2) = ( 2.45715282529430E+14, -1.45566148330375E+14) X( 3) = ( 2.22952440982190E-01, 5.86647171653170E-01) X( 4) = ( -2.40040482997917E-01, 6.25203480226599E+00) X( 5) = ( -5.78111808185858E+00, 1.95134609186809E+01) X( 6) = ( -5.62225044435826E+00, -3.09497304104469E+00) X( 7) = ( -9.36818379731719E+13, 9.65225692273807E+13) X( 8) = ( 9.65225692273812E+13, 9.36818379731721E+13) X( 9) = ( -1.99840144432528E-15, 2.77555756156289E-15) PATH NUMBER = 33 ARCLEN = 9.54518397946433E+00 NFE = 136 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.60947843709405E-13 X( 1) = ( -4.21364093217994E+00, 1.61404701987159E-01) X( 2) = ( 2.34149221455992E+00, -5.49460114250335E-01) X( 3) = ( -1.42808764660853E+14, 9.11535548031979E+12) X( 4) = ( 9.11535548031979E+12, 1.42808764660853E+14) X( 5) = ( 9.06872295489020E+14, 7.39990415705178E+14) X( 6) = ( 7.39990415705177E+14, -9.06872295489020E+14) X( 7) = ( -7.09390121642192E-01, 4.22499400017444E-02) X( 8) = ( 4.37032231912015E-01, -2.39538814985627E-01) X( 9) = ( 9.99200722162641E-16, 7.49400541621981E-16) PATH NUMBER = 34 ARCLEN = 2.55474758666369E+01 NFE = 211 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 8.15713370982724E-14 X( 1) = ( -2.80935947968405E+14, -6.23786210325981E+14) X( 2) = ( 6.23786210325981E+14, -2.80935947968404E+14) X( 3) = ( 5.39161209322357E-01, 1.68842780147786E-01) X( 4) = ( 5.32865106552390E-02, -1.78967467701699E+00) X( 5) = ( -6.09585644091031E+00, -5.11062144770141E+00) X( 6) = ( 1.97048017153239E+00, -2.58279174561151E+00) X( 7) = ( 4.05477221384833E+13, 5.53860669786486E+12) X( 8) = ( 5.53860669786482E+12, -4.05477221384833E+13) X( 9) = ( -7.77156117237610E-16, 5.55111512312578E-16) PATH NUMBER = 35 ARCLEN = 6.98446380197642E+01 NFE = 285 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 8.58978259572403E-18 X( 1) = ( 6.17653599891829E-01, 6.36907669143173E-02) X( 2) = ( -7.90592480178201E-01, 4.97586714404776E-02) X( 3) = ( -8.96723890425260E-01, 6.96526650740098E-02) X( 4) = ( 4.67530808227781E-01, 1.33593781852390E-01) X( 5) = ( 4.08955073213484E-01, 5.09587694769520E-01) X( 6) = ( -1.06340978278925E+00, 1.95971935180570E-01) X( 7) = ( 9.07104450970909E-01, -9.39529209909667E-02) X( 8) = ( -4.68117719657311E-01, -1.82059147162841E-01) X( 9) = ( -2.68712134074006E-01, -2.87057140779620E+00) PATH NUMBER = 36 ARCLEN = 5.73523250899784E+00 NFE = 161 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.61559792031297E-16 X( 1) = ( 6.35337829645393E+14, -1.65208553431825E+14) X( 2) = ( 1.65208553431826E+14, 6.35337829645393E+14) X( 3) = ( -5.24374410774192E-01, -7.50470052596345E-01) X( 4) = ( -9.81941350256630E-01, 2.48248774760002E-01) X( 5) = ( 1.05406570400194E+15, -1.15258870111266E+14) X( 6) = ( 1.15258870111266E+14, 1.05406570400194E+15) X( 7) = ( -7.96776575424231E-01, 1.74016552156281E-02) X( 8) = ( -3.24721705790805E-01, -1.18240854245503E-01) X( 9) = ( 9.99200722162641E-16, 3.88578058618805E-16) PATH NUMBER = 37 ARCLEN = 2.71700425940614E+02 NFE = 424 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.21638601453785E-13 X( 1) = ( 1.54618367926336E+00, -4.61103887267863E+00) X( 2) = ( 1.40744145397933E-01, 2.77103297321157E+00) X( 3) = ( 3.33115102674693E+14, 4.55625675133190E+13) X( 4) = ( 4.55625675133205E+13, -3.33115102674694E+14) X( 5) = ( 1.52869241578575E+15, 2.26025518735155E+15) X( 6) = ( 2.26025518735155E+15, -1.52869241578575E+15) X( 7) = ( 1.77475302406521E+00, 5.50441758651758E+00) X( 8) = ( -2.00380770066703E+00, -7.58478065940621E-01) X( 9) = ( 4.44089209850063E-16, 2.22044604925031E-16) PATH NUMBER = 38 ARCLEN = 3.21295420367874E+01 NFE = 165 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.44249354411040E-13 X( 1) = ( 5.54535656619785E+00, -6.42820025453552E+00) X( 2) = ( -5.57001580444291E+00, 2.52264783219132E+00) X( 3) = ( 6.48949821951992E+13, 2.61791450854239E+13) X( 4) = ( -2.61791450854238E+13, 6.48949821951972E+13) X( 5) = ( -2.74149029134088E+14, -6.17620417639359E+14) X( 6) = ( -6.17620417639359E+14, 2.74149029134088E+14) X( 7) = ( -5.78579166827194E-01, 1.50696730852159E+00) X( 8) = ( -1.03150156910402E+00, -6.61381123143413E-01) X( 9) = ( -1.66533453693773E-15, -4.44089209850063E-16) PATH NUMBER = 39 ARCLEN = 1.51806282816415E+01 NFE = 181 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.49215623138328E-16 X( 1) = ( 6.15575098704302E-02, 2.40269210579696E-16) X( 2) = ( 9.98103538205607E-01, 7.98592798033961E-17) X( 3) = ( -9.61509161663197E-01, -4.40854622675687E-17) X( 4) = ( 2.74772873547839E-01, 2.02061733550597E-16) X( 5) = ( 6.17807316614373E-01, 2.85842754237625E-16) X( 6) = ( 7.86329523506366E-01, -7.04233527118322E-17) X( 7) = ( -6.73376870835452E-02, 1.26238509879016E-16) X( 8) = ( -9.97730242048540E-01, -1.95353235263722E-16) X( 9) = ( 6.73114267746677E-01, 2.32198161155180E+00) PATH NUMBER = 40 ARCLEN = 4.12211752837191E+01 NFE = 212 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.95116550807445E-13 X( 1) = ( 1.16231199225451E+00, 1.87679591197858E-01) X( 2) = ( 3.33772014514965E-01, -6.53566596509143E-01) X( 3) = ( 6.06760099179521E+00, 1.30472521568105E+00) X( 4) = ( -1.32197811548440E+00, 5.98841381711306E+00) X( 5) = ( -1.53635384798432E+00, 1.93378873616404E-01) X( 6) = ( 2.52300382673651E-01, 1.17755816865092E+00) X( 7) = ( -5.91454538191194E+00, -7.03796500392309E-01) X( 8) = ( 7.13926056234035E-01, -5.83062672227526E+00) X( 9) = ( -3.12464098711607E-02, -2.69065555447091E-02) PATH NUMBER = 41 ARCLEN = 7.67472624571258E+00 NFE = 154 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.30592869992450E-17 X( 1) = ( -1.29626865906874E-01, 1.85405888581043E-01) X( 2) = ( 1.00902900917828E+00, 2.38185265624943E-02) X( 3) = ( -5.06099762670942E-01, -1.97612071536567E+00) X( 4) = ( -2.20339260732317E+00, 4.53897422425640E-01) X( 5) = ( -1.25562726235550E+00, 4.31546989110051E-02) X( 6) = ( -7.11621633744569E-02, -7.61447008943107E-01) X( 7) = ( 2.34519131484164E-01, 1.86661190037688E+00) X( 8) = ( 2.11473191547315E+00, -2.07003165976451E-01) X( 9) = ( -9.40330403016092E-02, 1.84950455818849E-01) PATH NUMBER = 42 ARCLEN = 8.16752493105972E+00 NFE = 173 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.86129538079350E-16 X( 1) = ( 9.76148462455547E-01, -2.62122356780367E-16) X( 2) = ( 2.17104074686936E-01, -1.03057827574727E-16) X( 3) = ( 7.09264760346991E-02, -1.55358848612641E-16) X( 4) = ( 9.97481546193863E-01, -2.56747537034248E-16) X( 5) = ( 9.26212713628612E-01, -3.40502790780857E-16) X( 6) = ( -3.77001338343410E-01, -1.46807496825793E-16) X( 7) = ( -1.53496719696746E-01, 1.89763169973905E-16) X( 8) = ( -9.88149157284637E-01, 1.08597762386165E-16) X( 9) = ( 9.55422953719358E-02, -7.80699063683327E-01) PATH NUMBER = 43 ARCLEN = 2.11349911179627E+01 NFE = 278 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.16509753494675E-12 X( 1) = ( 1.94105799014519E+01, -1.08848222006946E+01) X( 2) = ( -1.09000125940112E+01, 1.30377941285022E+01) X( 3) = ( -2.46341191052299E+12, -8.94253014337284E+12) X( 4) = ( -8.94253014337264E+12, 2.46341191052250E+12) X( 5) = ( 3.42528540070442E+13, -3.05554052756424E+14) X( 6) = ( 3.05554052756431E+14, 3.42528540070430E+13) X( 7) = ( 3.20614990912948E-01, -6.16605161036113E+00) X( 8) = ( -1.61550974280200E+00, 2.65982886125962E-01) X( 9) = ( 8.88178419700125E-15, 2.80331313717852E-15) PATH NUMBER = 44 ARCLEN = 2.38273618399074E+01 NFE = 239 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.05784308264088E-14 X( 1) = ( 1.27925568125805E+00, -2.82792348757007E-01) X( 2) = ( -4.22066367675229E-01, -8.57125197528376E-01) X( 3) = ( 6.69598674729621E+00, 1.38313258399864E+00) X( 4) = ( -1.39815366279890E+00, 6.62404834220327E+00) X( 5) = ( -1.40358102984342E+00, -1.44410309311880E-01) X( 6) = ( 2.03645160065804E-01, -9.95317397174896E-01) X( 7) = ( 2.31705420969072E-01, 6.46288795781603E+00) X( 8) = ( 6.53969930518755E+00, -2.28983949423156E-01) X( 9) = ( -1.37175113916118E-01, 4.42221601392030E-02) PATH NUMBER = 45 ARCLEN = 1.39151416036216E+01 NFE = 166 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.62157336180867E-13 X( 1) = ( -3.59213282135333E-01, -1.75620811047344E-01) X( 2) = ( 9.51945474476294E-01, -6.62698963743397E-02) X( 3) = ( 1.07619680311174E+00, 3.86550605399786E-02) X( 4) = ( -1.01778566380084E-01, 4.08734904182504E-01) X( 5) = ( -1.33456507217690E+00, 6.81624099524591E-01) X( 6) = ( 8.74702052835551E-01, 1.03997894212163E+00) X( 7) = ( -1.07398005488248E+00, 6.47210247186224E-02) X( 8) = ( -1.65402932515309E-01, -4.20240975310061E-01) X( 9) = ( -2.50997811263730E-01, -1.81169410910482E-01) PATH NUMBER = 46 ARCLEN = 2.62450979678920E+01 NFE = 207 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 7.65892510477824E-14 X( 1) = ( 2.48606282037549E+13, -5.09540362218641E+13) X( 2) = ( -5.09540362218642E+13, -2.48606282037548E+13) X( 3) = ( -6.21025959325629E-01, 3.01511640579541E-01) X( 4) = ( 8.58680770724208E-01, 2.32143939137826E-01) X( 5) = ( 1.23608013769703E+13, -5.35358474451623E+13) X( 6) = ( -5.35358474451624E+13, -1.23608013769702E+13) X( 7) = ( 6.42660103291178E-01, 4.14591907942647E-01) X( 8) = ( -9.22601890798119E-01, 3.06148234809921E-01) X( 9) = ( -6.43929354282591E-15, -1.38222766565832E-14) PATH NUMBER = 47 ARCLEN = 1.53942394273634E+01 NFE = 200 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.46749651353963E-12 X( 1) = ( -8.92601260463733E+13, -3.56248552881061E+13) X( 2) = ( 3.56248552881075E+13, -8.92601260463737E+13) X( 3) = ( 4.83293772072497E-01, -4.11104350066793E-01) X( 4) = ( -4.51563963738752E-01, -4.48340750925082E+00) X( 5) = ( -6.77928366588111E+00, -3.70702241754950E+00) X( 6) = ( -1.36261720747812E+00, 2.35923247631516E+00) X( 7) = ( 2.66736764754465E+12, 6.31467562593376E+12) X( 8) = ( -6.31467562593448E+12, 2.66736764754493E+12) X( 9) = ( -7.88258347483861E-15, -1.49880108324396E-15) PATH NUMBER = 48 ARCLEN = 7.38234442731714E+00 NFE = 125 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.98449037765257E-13 X( 1) = ( -8.01563642854010E-01, 4.27103037977736E-01) X( 2) = ( 8.40201275123276E-01, 4.07462208322527E-01) X( 3) = ( -3.63818630922741E+00, 3.13016201582224E+00) X( 4) = ( 3.19905480977637E+00, 3.55983666076158E+00) X( 5) = ( 1.08100630676366E+00, -8.35636949104900E-02) X( 6) = ( 2.00993027178593E-01, 4.49432910599106E-01) X( 7) = ( 6.88801025265177E-01, 3.94152999316834E+00) X( 8) = ( -4.06296944890651E+00, 6.68213220539622E-01) X( 9) = ( 9.47395885227615E-02, -4.15440954219847E-02) PATH NUMBER = 49 ARCLEN = 3.60389010705651E+01 NFE = 168 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.14762019272591E-15 X( 1) = ( 7.06674110388772E+13, 3.76479782411352E+14) X( 2) = ( 3.76479782411352E+14, -7.06674110388770E+13) X( 3) = ( -7.25758336025283E-01, 8.66013386802363E-01) X( 4) = ( -1.30859699014962E+00, -6.82556179898607E-01) X( 5) = ( 2.01096629187416E+14, 5.85132149048016E+14) X( 6) = ( 5.85132149048016E+14, -2.01096629187416E+14) X( 7) = ( -9.99016924770774E-01, -3.18782968435312E-01) X( 8) = ( -2.97821997627481E-01, 2.73263399711532E-01) X( 9) = ( 4.44089209850063E-16, 2.19269047363468E-15) PATH NUMBER = 50 ARCLEN = 9.88329916288832E+00 NFE = 192 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 7.33148257425828E-16 X( 1) = ( 1.17448859228741E+14, 2.13499866968392E+14) X( 2) = ( -2.13499866968392E+14, 1.17448859228741E+14) X( 3) = ( -6.40002994438962E-01, -4.26189183004144E-01) X( 4) = ( 9.44935873393997E-01, -2.51403661015866E-01) X( 5) = ( 6.43335357661161E+13, 2.27214706799840E+14) X( 6) = ( -2.27214706799840E+14, 6.43335357661161E+13) X( 7) = ( 6.17928909472138E-01, -7.12917301215236E-01) X( 8) = ( -1.14023030418129E+00, -4.48006156889629E-01) X( 9) = ( 2.10942374678780E-15, -2.10942374678780E-15) PATH NUMBER = 51 ARCLEN = 8.61353655998727E+01 NFE = 291 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.76333386012933E-12 X( 1) = ( -4.41508312643033E+00, -2.38855240468937E+00) X( 2) = ( 2.54406074087246E+00, 2.34257239299561E+00) X( 3) = ( 6.02052133008785E+12, -2.77609478889390E+11) X( 4) = ( 2.77609478888704E+11, 6.02052133008644E+12) X( 5) = ( -4.36189604194440E+13, -3.85296882949516E+13) X( 6) = ( -3.85296882949516E+13, 4.36189604194439E+13) X( 7) = ( -8.93314215320189E-01, 1.38042249903808E+00) X( 8) = ( -8.30695120203318E-01, -3.82860694126479E-01) X( 9) = ( -1.54321000422897E-14, -1.27398092075737E-14) PATH NUMBER = 52 ARCLEN = 5.13202575936238E+01 NFE = 241 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 8.97508369046091E-15 X( 1) = ( -6.33671876892610E+13, -7.82248442883025E+13) X( 2) = ( -7.82248442883026E+13, 6.33671876892610E+13) X( 3) = ( -4.52515987227243E-01, 4.20909697171704E-01) X( 4) = ( 1.22753330120548E+00, 2.34789898793375E-01) X( 5) = ( 9.98360031959916E+13, -1.28090486663625E+13) X( 6) = ( 1.28090486663625E+13, 9.98360031959917E+13) X( 7) = ( 5.77249894166398E-01, -5.09926804153385E-01) X( 8) = ( -1.02912207381421E+00, -5.66867270551422E-01) X( 9) = ( 5.44009282066327E-15, -2.77555756156289E-15) PATH NUMBER = 53 ARCLEN = 2.62713843850054E+01 NFE = 186 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.29882010665198E-14 X( 1) = ( -1.17580884606015E+00, -3.91945730962372E-01) X( 2) = ( 6.00333423168924E-01, -7.67662168813466E-01) X( 3) = ( -4.46316901221624E-01, 4.48073453470395E-02) X( 4) = ( -8.96273829690174E-01, -2.23126848790978E-02) X( 5) = ( -1.71041655462015E+00, 8.19910369153666E-01) X( 6) = ( 9.53617690809596E-01, 1.47059799982796E+00) X( 7) = ( -9.69616408977202E-01, 9.02774498392315E-03) X( 8) = ( -2.47341824528347E-01, -3.53900909769935E-02) X( 9) = ( -2.86335261783929E-01, -2.01142556068835E-01) PATH NUMBER = 54 ARCLEN = 8.71772904258144E+00 NFE = 161 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.14747474691947E-13 X( 1) = ( -1.05374849568344E+13, 9.48160767955412E+13) X( 2) = ( 9.48160767955416E+13, 1.05374849568355E+13) X( 3) = ( -9.22529828418918E-01, 8.93863833893693E-01) X( 4) = ( 9.01869864853589E-02, -6.96971090410134E-01) X( 5) = ( 6.98977107194009E+13, 8.81941382717839E+13) X( 6) = ( 8.81941382717834E+13, -6.98977107193999E+13) X( 7) = ( 1.27707424186016E-01, -8.33080008309553E-01) X( 8) = ( -6.94874949749171E-01, 6.87629908014062E-01) X( 9) = ( 6.66133814775094E-16, 6.52256026967279E-15) PATH NUMBER = 55 ARCLEN = 1.01628708821900E+01 NFE = 149 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.64710218083986E-16 X( 1) = ( -8.40062525275419E-01, -3.31061653116359E-01) X( 2) = ( 7.38680181298249E-01, -3.76499187848782E-01) X( 3) = ( 5.17100724931646E-01, -3.88067038518989E+00) X( 4) = ( 4.00539746007343E+00, 5.00998337719441E-01) X( 5) = ( -1.65699648586207E+00, 5.82716504385732E-02) X( 6) = ( -7.30400050240799E-02, -1.32195938335803E+00) X( 7) = ( 3.73775710005446E+00, -7.06361391302752E-01) X( 8) = ( -7.32043054625668E-01, -3.60662844741596E+00) X( 9) = ( -2.17819057123101E-01, -1.19798564150627E-01) PATH NUMBER = 56 ARCLEN = 9.33015066990628E+00 NFE = 158 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.87844329959378E-12 X( 1) = ( -9.72946321955175E+13, 3.99877292495156E+13) X( 2) = ( -3.99877292495141E+13, -9.72946321955194E+13) X( 3) = ( 5.54522609635061E-01, -7.62897332111254E-01) X( 4) = ( -1.31338352635994E+00, -4.11328557532582E+00) X( 5) = ( -3.25823863762093E+00, -3.26072756534385E-01) X( 6) = ( -5.06966205910349E-01, 1.79825993464350E+00) X( 7) = ( 6.90644648664386E+12, 2.93166637898680E+12) X( 8) = ( -2.93166637898734E+12, 6.90644648664504E+12) X( 9) = ( -4.21884749357559E-15, -5.99520433297585E-15) PATH NUMBER = 57 ARCLEN = 1.30784749189569E+01 NFE = 141 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.89448417503007E-14 X( 1) = ( -5.73993644466767E-01, 2.63874515550253E-01) X( 2) = ( -8.77471389081332E-01, -1.72612231859966E-01) X( 3) = ( -3.06129886067413E-01, -1.27633565998054E-01) X( 4) = ( 9.61367068432931E-01, -4.06425914724242E-02) X( 5) = ( 1.06286154111227E+00, -3.09983707316501E-02) X( 6) = ( -8.91250080067966E-02, -3.69671507746739E-01) X( 7) = ( 5.35586935983250E-01, -3.55587300380890E-02) X( 8) = ( -8.45528470021295E-01, -2.25241277423528E-02) X( 9) = ( 3.29813239008971E-01, -5.12580213622979E-01) PATH NUMBER = 58 ARCLEN = 2.32542467869342E+01 NFE = 172 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.32509819744771E-16 X( 1) = ( -7.82540497851946E-01, -4.50086222861456E-17) X( 2) = ( 6.22599686172125E-01, 9.25631656705557E-17) X( 3) = ( -8.29709626974048E-01, -2.04394026972552E-16) X( 4) = ( -5.58195248015053E-01, -9.36821557337821E-17) X( 5) = ( -8.50226890899773E-01, -5.52190266874492E-17) X( 6) = ( 5.26416407410431E-01, 1.22439279696536E-16) X( 7) = ( -7.55089439022002E-01, -2.09029041596714E-16) X( 8) = ( -6.55621795761427E-01, -1.81143771138551E-16) X( 9) = ( -9.33965053870513E-01, -3.76603958574031E-01) PATH NUMBER = 59 ARCLEN = 9.26152666860319E+00 NFE = 168 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.48125469175142E-13 X( 1) = ( 1.37171629075174E+01, -3.26495586746975E+01) X( 2) = ( -1.68789473451366E+01, 2.09430876387698E+01) X( 3) = ( 3.68178186087232E+14, 3.63229351045501E+14) X( 4) = ( -3.63229351045501E+14, 3.68178186087234E+14) X( 5) = ( -6.38208075102145E+15, -1.57124946358798E+16) X( 6) = ( 1.57124946358798E+16, -6.38208075102145E+15) X( 7) = ( -2.68009552528767E-02, -2.79025991693759E+00) X( 8) = ( -1.36332280100641E+00, -8.99654640258036E-02) X( 9) = ( 1.11022302462516E-16, 1.38777878078145E-16) PATH NUMBER = 60 ARCLEN = 1.34427744257294E+01 NFE = 175 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.26423133305875E-14 X( 1) = ( -1.29626865907250E-01, -1.85405888581809E-01) X( 2) = ( 1.00902900917846E+00, -2.38185265620578E-02) X( 3) = ( -5.06099762674546E-01, 1.97612071536438E+00) X( 4) = ( -2.20339260732167E+00, -4.53897422429026E-01) X( 5) = ( -1.25562726235594E+00, -4.31546989115320E-02) X( 6) = ( -7.11621633749768E-02, 7.61447008943500E-01) X( 7) = ( 2.34519131487466E-01, -1.86661190037578E+00) X( 8) = ( 2.11473191547215E+00, 2.07003165979994E-01) X( 9) = ( -7.55057664420448E-02, 6.99139503666090E-02) PATH NUMBER = 61 ARCLEN = 1.39221493283393E+01 NFE = 185 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 9.25763462027820E-17 X( 1) = ( 2.29357256355386E-01, 1.58919437495568E-16) X( 2) = ( 9.73342308212856E-01, -1.63414091278481E-16) X( 3) = ( 2.39309340396267E-01, 9.02110033146097E-17) X( 4) = ( -9.70943376103418E-01, -8.26947967765700E-17) X( 5) = ( -9.93991529928234E-01, 0.00000000000000E+00) X( 6) = ( 1.09457016362260E-01, -2.07151777617418E-16) X( 7) = ( -1.30933055767338E-01, 1.10708046670247E-16) X( 8) = ( 9.91391211836895E-01, 3.19797238317442E-16) X( 9) = ( -1.79884553238029E-01, 1.51526336978807E-01) PATH NUMBER = 62 ARCLEN = 6.04541441248726E+00 NFE = 169 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.12942615384363E-12 X( 1) = ( 9.67145100807588E+12, -3.95099976846184E+13) X( 2) = ( 3.95099976846180E+13, 9.67145100807577E+12) X( 3) = ( 2.06388654817995E-01, 6.25870999063409E-02) X( 4) = ( -5.44692972953123E-01, -3.55471596236317E+00) X( 5) = ( -2.92852733892974E+00, 9.15844726247381E-01) X( 6) = ( 3.89064784162263E-01, -1.42073712584800E+00) X( 7) = ( 1.69703165128132E+12, 1.74377506850663E+12) X( 8) = ( 1.74377506850664E+12, -1.69703165128145E+12) X( 9) = ( -4.55191440096314E-15, 1.54043444666740E-14) PATH NUMBER = 63 ARCLEN = 3.21199976117091E+01 NFE = 214 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 9.98899561823743E-13 X( 1) = ( 6.12504470299833E+13, -5.70662375417009E+13) X( 2) = ( -5.70662375417011E+13, -6.12504470299852E+13) X( 3) = ( 9.29199205117711E-01, 2.92018032584862E-01) X( 4) = ( -7.43231162629494E-01, 5.37610317571724E+00) X( 5) = ( -1.18263014978605E+01, 3.65733271271829E-01) X( 6) = ( -3.12002744590051E-01, -2.48586397262697E+00) X( 7) = ( -3.35047316302608E+13, -2.07843373536769E+13) X( 8) = ( -2.07843373536762E+13, 3.35047316302608E+13) X( 9) = ( 0.00000000000000E+00, -6.57807142090405E-15) PATH NUMBER = 64 ARCLEN = 1.08976878673627E+01 NFE = 209 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.62623473933996E-13 X( 1) = ( -3.99419270739346E+14, 1.24294800053068E+14) X( 2) = ( -1.24294800053061E+14, -3.99419270739350E+14) X( 3) = ( 5.49390527082427E-01, -6.87762907417054E-01) X( 4) = ( -3.84873013494921E+00, -2.46751182715445E+00) X( 5) = ( 1.17741508694963E+14, 4.47486849275668E+14) X( 6) = ( 4.47486849275666E+14, -1.17741508694966E+14) X( 7) = ( 7.16015227771497E+00, 2.03191155613228E+00) X( 8) = ( -3.13911653296876E+00, 3.29600781529598E+00) X( 9) = ( -4.44089209850063E-16, -2.27595720048157E-15) PATH NUMBER = 65 ARCLEN = 5.97481791502812E+00 NFE = 134 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.59548495453667E-17 X( 1) = ( -5.73993644466771E-01, -2.63874515550237E-01) X( 2) = ( -8.77471389081321E-01, 1.72612231859958E-01) X( 3) = ( -3.06129886067412E-01, 1.27633565998051E-01) X( 4) = ( 9.61367068432931E-01, 4.06425914724236E-02) X( 5) = ( 1.06286154111227E+00, 3.09983707316473E-02) X( 6) = ( -8.91250080067882E-02, 3.69671507746719E-01) X( 7) = ( 5.35586935983244E-01, 3.55587300380965E-02) X( 8) = ( -8.45528470021298E-01, 2.25241277423569E-02) X( 9) = ( 3.59803023977583E-01, -3.74310135504484E-01) PATH NUMBER = 66 ARCLEN = 4.88078843777574E+00 NFE = 132 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.16784730018751E-13 X( 1) = ( 1.09008912598853E+14, -8.77863337147233E+13) X( 2) = ( 8.77863337147232E+13, 1.09008912598853E+14) X( 3) = ( 8.60725076515929E-02, 1.84415087843615E-02) X( 4) = ( 3.82294272542755E-01, -3.36487752364482E+00) X( 5) = ( -3.88639872002905E+00, 3.61690471858092E+00) X( 6) = ( -8.37264093596687E-01, -1.54448988508499E+00) X( 7) = ( -9.94423370032271E+11, -8.31317887582108E+12) X( 8) = ( -8.31317887582116E+12, 9.94423370032293E+11) X( 9) = ( 1.88737914186277E-15, 4.85722573273506E-15) PATH NUMBER = 67 ARCLEN = 3.42900810153849E+01 NFE = 181 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.85953656073908E-16 X( 1) = ( 9.51044815428272E-01, -3.30314788813086E-03) X( 2) = ( -3.09237559760445E-01, -1.01586679057787E-02) X( 3) = ( -1.67483475490117E-01, -4.01571993917393E-02) X( 4) = ( 9.86715940318371E-01, -6.81621431787949E-03) X( 5) = ( 3.58070010433481E-01, 1.34366160073986E-01) X( 6) = ( -9.44687224087698E-01, 5.09295469577904E-02) X( 7) = ( 8.88159812042096E-01, -2.54383575921025E-02) X( 8) = ( -4.62819970372659E-01, -4.88166638087581E-02) X( 9) = ( -6.92023241527783E+00, -4.96211039848717E+00) PATH NUMBER = 68 ARCLEN = 8.24659672065997E+00 NFE = 176 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.45093405518266E-14 X( 1) = ( -8.28253379807935E-01, -5.66208311141472E-01) X( 2) = ( -9.39953195542942E-01, 4.98922658704705E-01) X( 3) = ( -2.88293160145086E-01, 1.92429259310048E-01) X( 4) = ( 9.78330979423583E-01, 5.67047762338639E-02) X( 5) = ( 1.28667055008929E+00, -7.48750669668272E-02) X( 6) = ( 1.18237411569357E-01, 8.14797468275654E-01) X( 7) = ( 4.88755859727676E-01, -1.68192955396118E-01) X( 8) = ( -8.93239162923569E-01, -9.20305511971847E-02) X( 9) = ( 3.19766856587105E-01, -3.37430147043440E-01) PATH NUMBER = 69 ARCLEN = 1.30033854403342E+02 NFE = 251 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.17411607684637E-13 X( 1) = ( 1.16805813859713E+00, -2.64606830344751E-01) X( 2) = ( 4.41763649679264E-01, 6.99641452928469E-01) X( 3) = ( 2.18650479698306E+00, -2.11047855621049E+00) X( 4) = ( -2.22789002770864E+00, -2.07127435811122E+00) X( 5) = ( 1.11182382946581E+00, 1.91784047471487E-01) X( 6) = ( 3.68368798447779E-01, -5.78849443787591E-01) X( 7) = ( -1.37945707030433E+00, 1.76735543503180E+00) X( 8) = ( 1.94659755754035E+00, 1.25243707470596E+00) X( 9) = ( 7.30263736401318E-02, 2.17927205311664E-01) PATH NUMBER = 70 ARCLEN = 1.36628673727645E+01 NFE = 117 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.28333349290716E-19 X( 1) = ( 1.32486380980226E+00, 1.59173912287481E-01) X( 2) = ( -2.37794058724457E-01, 8.86833577699620E-01) X( 3) = ( 2.96311243351956E+00, -1.56100702523029E+00) X( 4) = ( -1.63399050229238E+00, -2.83076267504741E+00) X( 5) = ( 9.91495870569986E-01, -1.35486485840606E-01) X( 6) = ( 3.91324176491087E-01, 3.43281349068547E-01) X( 7) = ( 6.78575243485810E-02, -2.51310594170734E+00) X( 8) = ( 2.70463905111499E+00, 6.30520910210430E-02) X( 9) = ( -9.25508488102489E-02, 1.00680275168447E-01) PATH NUMBER = 71 ARCLEN = 8.55761185887743E+01 NFE = 372 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 8.56869240855828E-14 X( 1) = ( -4.18058147158508E-01, 1.73228047118956E+00) X( 2) = ( -7.21112490716014E-01, -3.51166382638300E-01) X( 3) = ( 8.30074980483367E+13, -7.72888697574579E+12) X( 4) = ( -7.72888697574558E+12, -8.30074980483369E+13) X( 5) = ( -2.70034336983573E+15, -8.28831195952124E+14) X( 6) = ( 8.28831195952124E+14, -2.70034336983573E+15) X( 7) = ( -3.24747463570413E-01, -2.69198806362093E-01) X( 8) = ( -9.53506375091018E-02, 3.38108589532522E-02) X( 9) = ( -1.11022302462516E-16, 9.43689570931383E-16) PATH NUMBER = 72 ARCLEN = 1.98407578132420E+01 NFE = 178 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.61143588675338E-13 X( 1) = ( 3.06218970886339E+00, 1.46554887466193E+00) X( 2) = ( -2.34378562398332E+00, -1.89248352210161E+00) X( 3) = ( -1.32950624228073E+14, 7.35752605927568E+13) X( 4) = ( -7.35752605927566E+13, -1.32950624228073E+14) X( 5) = ( -4.84579502305342E+15, 5.14221856533738E+14) X( 6) = ( -5.14221856533738E+14, -4.84579502305342E+15) X( 7) = ( -4.75054833186364E-01, -1.08216184323068E+00) X( 8) = ( 2.01589098978281E-01, 6.80323387228032E-01) X( 9) = ( -2.22044604925031E-16, 4.71844785465692E-16) PATH NUMBER = 73 ARCLEN = 8.87991939383628E+00 NFE = 154 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 7.81478767592218E-12 X( 1) = ( -1.80098883472071E+00, 1.32330197022407E+01) X( 2) = ( 5.72613367197096E+00, -9.35154407100930E+00) X( 3) = ( 2.51261024040919E+12, -8.30316382453630E+12) X( 4) = ( 8.30316382453690E+12, 2.51261024040840E+12) X( 5) = ( 7.67586751660997E+13, -3.46257429721658E+13) X( 6) = ( -3.46257429721655E+13, -7.67586751661004E+13) X( 7) = ( -2.32954095899509E+00, 1.41897672412837E+00) X( 8) = ( -1.84393106065121E-01, -6.78046580827702E-01) X( 9) = ( -3.55271367880050E-15, 2.05391259555654E-14) PATH NUMBER = 74 ARCLEN = 1.52254497376947E+01 NFE = 140 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.76002578779467E-17 X( 1) = ( -1.17580884606015E+00, 3.91945730962369E-01) X( 2) = ( 6.00333423168923E-01, 7.67662168813460E-01) X( 3) = ( -4.46316901221626E-01, -4.48073453470406E-02) X( 4) = ( -8.96273829690172E-01, 2.23126848790971E-02) X( 5) = ( -1.71041655462014E+00, -8.19910369153661E-01) X( 6) = ( 9.53617690809592E-01, -1.47059799982795E+00) X( 7) = ( -9.69616408977201E-01, -9.02774498392343E-03) X( 8) = ( -2.47341824528348E-01, 3.53900909769931E-02) X( 9) = ( -4.11133501166166E-01, 6.14213586075490E-01) PATH NUMBER = 75 ARCLEN = 5.38901277521736E+00 NFE = 149 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 7.47359040166729E-12 X( 1) = ( 4.33698895805906E+13, -1.21053857565412E+13) X( 2) = ( 1.21053857565382E+13, 4.33698895805885E+13) X( 3) = ( -3.85386460795569E-01, -1.17327159463085E+00) X( 4) = ( -9.35119316276121E-01, -3.84389084321122E+00) X( 5) = ( 1.14851918096952E+00, -1.22352589995116E+01) X( 6) = ( -1.88910803536901E+00, 8.05407743492730E-01) X( 7) = ( 2.78842181117391E+12, 1.59354633582538E+12) X( 8) = ( -1.59354633582375E+12, 2.78842181117453E+12) X( 9) = ( 9.99200722162641E-15, 9.54791801177635E-15) PATH NUMBER = 76 ARCLEN = 1.07871108060759E+01 NFE = 180 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.42038714802122E-13 X( 1) = ( -1.89669656127443E+14, 2.87254450125363E+14) X( 2) = ( 2.87254450125364E+14, 1.89669656127445E+14) X( 3) = ( -4.48360520546285E-01, -1.24675984989886E-01) X( 4) = ( 5.95496358485546E-01, 5.69892492864114E-02) X( 5) = ( 3.78059614645994E+00, -2.43366425615482E+00) X( 6) = ( -7.72505656825421E-01, -4.75893229805390E-01) X( 7) = ( 1.01126362237755E+14, -1.64745677445951E+14) X( 8) = ( 1.64745677445952E+14, 1.01126362237755E+14) X( 9) = ( -2.22044604925031E-16, 1.11022302462516E-15) PATH NUMBER = 77 ARCLEN = 2.89020360990098E+01 NFE = 107 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.72549688815065E-13 X( 1) = ( 8.82849248272059E-02, 2.09844535749609E-01) X( 2) = ( 1.01812160806673E+00, -1.81963617285379E-02) X( 3) = ( 6.08392880071458E-01, -1.71205029496389E-03) X( 4) = ( -7.93638933696649E-01, -1.31243461674222E-03) X( 5) = ( -4.22090915226064E-01, 5.75142790295816E-01) X( 6) = ( 1.09620780507551E+00, 2.21456685144838E-01) X( 7) = ( -9.54400887068444E-01, -2.08881184804534E-02) X( 8) = ( 3.06255751857024E-01, -6.50947408694684E-02) X( 9) = ( -4.00842983969764E-01, 9.43125127717934E-02) PATH NUMBER = 78 ARCLEN = 1.89290853291136E+01 NFE = 157 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.94920645007528E-16 X( 1) = ( -9.97032338354657E-01, 1.55206513131492E-15) X( 2) = ( -7.69838702264874E-02, -3.69833399464443E-15) X( 3) = ( -2.06407758039419E-02, -1.09493830299150E-15) X( 4) = ( 9.99786956493339E-01, -6.21251935720658E-17) X( 5) = ( 6.44732206382425E-01, 2.01401321545378E-15) X( 6) = ( 7.64408517779109E-01, -3.35607822947209E-15) X( 7) = ( 1.83959491902009E-01, 1.05349165729000E-15) X( 8) = ( -9.82933825513782E-01, 2.40250488648788E-16) X( 9) = ( 3.83710764462186E-01, -5.51922121778574E-01) PATH NUMBER = 79 ARCLEN = 8.31626086216744E+00 NFE = 123 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.40222273869905E-13 X( 1) = ( -8.45196877409694E-01, -7.92235415425926E-01) X( 2) = ( 1.12566385494444E+00, -5.94844452320439E-01) X( 3) = ( -3.54281084627029E-01, -8.41957515841773E-02) X( 4) = ( -9.39458343171689E-01, 3.17512345374181E-02) X( 5) = ( -1.16156403958381E+00, -1.51629198529710E+00) X( 6) = ( 1.72860198938108E+00, -1.01889865593693E+00) X( 7) = ( -9.87295286067396E-01, 5.58588121487170E-03) X( 8) = ( -1.62572967705564E-01, -3.39227011098226E-02) X( 9) = ( -3.50646165033749E-01, 1.11585574323347E-01) PATH NUMBER = 80 ARCLEN = 4.34979082340819E+01 NFE = 203 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.10886121464491E-14 X( 1) = ( 1.08707913283361E+00, -1.12206976693279E-01) X( 2) = ( 2.52695630148105E-01, 4.82706657214897E-01) X( 3) = ( -7.60926702188133E-01, -3.00226576434991E-01) X( 4) = ( 7.73530340563730E-01, -2.95334787449217E-01) X( 5) = ( 1.11306763775108E+00, 1.06662124290839E-01) X( 6) = ( -2.25085865185228E-01, 5.27452750639068E-01) X( 7) = ( 5.60758078600101E-01, 2.75952812846174E-01) X( 8) = ( -8.89908277794083E-01, 1.73886200384041E-01) X( 9) = ( 5.07835095785393E-01, 1.15753829448945E-01) PATH NUMBER = 81 ARCLEN = 2.64821865872389E+00 NFE = 83 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.18880413779375E-14 X( 1) = ( 1.32486380980223E+00, -1.59173912287501E-01) X( 2) = ( -2.37794058724469E-01, -8.86833577699599E-01) X( 3) = ( 2.96311243351946E+00, 1.56100702523021E+00) X( 4) = ( -1.63399050229222E+00, 2.83076267504734E+00) X( 5) = ( 9.91495870569903E-01, 1.35486485840732E-01) X( 6) = ( 3.91324176491040E-01, -3.43281349068557E-01) X( 7) = ( 6.78575243486875E-02, 2.51310594170724E+00) X( 8) = ( 2.70463905111487E+00, -6.30520910211512E-02) X( 9) = ( -1.84431833969050E-01, 6.60668629459615E-02) PATH NUMBER = 82 ARCLEN = 3.52468775483163E+01 NFE = 175 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.20771831731101E-15 X( 1) = ( -3.23572566938690E-01, 4.87957435161641E-15) X( 2) = ( -9.46203357595344E-01, 1.92983898746088E-16) X( 3) = ( -7.82982639239781E-01, -1.98864772640237E-15) X( 4) = ( -6.22043556874521E-01, 1.82295743925507E-15) X( 5) = ( -8.67196525522176E-01, 6.21677835678101E-15) X( 6) = ( -4.97966049166273E-01, -1.30472494308676E-15) X( 7) = ( 7.73321237566211E-01, 3.31209739001032E-15) X( 8) = ( 6.34014403250481E-01, -1.88832301351416E-15) X( 9) = ( -3.88658327849299E-01, 4.29551819655338E-01) PATH NUMBER = 83 ARCLEN = 6.50266405183767E+01 NFE = 303 IFLAG2 = 11 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.18663932179268E-14 X( 1) = ( -2.39351283588260E+15, 2.51784403185679E+14) X( 2) = ( -2.51784403185680E+14, -2.39351283588260E+15) X( 3) = ( 1.35565965750937E-01, -2.03598456538831E+00) X( 4) = ( -2.81917832218770E+00, 1.13648126113192E+00) X( 5) = ( -2.21454230264308E+15, -1.77639564122139E+15) X( 6) = ( 1.77639564122141E+15, -2.21454230264308E+15) X( 7) = ( 7.85986787062418E-01, -5.00820861375421E+00) X( 8) = ( -4.91161475517113E+00, 1.15607873480951E+00) X( 9) = ( -3.33066907387547E-16, -1.38777878078145E-16) PATH NUMBER = 84 ARCLEN = 8.72657660255087E+00 NFE = 186 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.58951539759261E-16 X( 1) = ( 8.86905474091763E-01, -7.50273222418065E-17) X( 2) = ( 4.61950949805351E-01, 7.71492894665231E-17) X( 3) = ( 6.98952745885602E-01, 8.51788821066102E-17) X( 4) = ( 7.15167853737133E-01, 3.90409710936049E-17) X( 5) = ( -1.60239444861387E-02, -2.04230614886520E-16) X( 6) = ( -9.99871608359346E-01, -1.36067133010562E-16) X( 7) = ( -6.88217284181033E-01, -6.96883773160952E-17) X( 8) = ( -7.25504631104780E-01, 0.00000000000000E+00) X( 9) = ( -3.15812137063886E-01, -4.05297462821970E-01) PATH NUMBER = 85 ARCLEN = 3.63267892887719E+01 NFE = 240 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.84522968052162E-13 X( 1) = ( -3.44604977553518E+14, 4.62017916365716E+14) X( 2) = ( 4.62017916365716E+14, 3.44604977553516E+14) X( 3) = ( 3.04471241424629E-02, 1.28658788753897E-01) X( 4) = ( -2.07233805636351E+00, 2.81995698975171E+00) X( 5) = ( -1.13472337850421E+01, 6.41459864677215E+00) X( 6) = ( -1.12724551575333E+00, -4.01843539409009E+00) X( 7) = ( -2.52563123252490E+14, -9.95164491424772E+13) X( 8) = ( -9.95164491424770E+13, 2.52563123252490E+14) X( 9) = ( 8.88178419700125E-16, 1.44328993201270E-15) PATH NUMBER = 86 ARCLEN = 4.76583654294445E+00 NFE = 114 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.12700100793724E-14 X( 1) = ( 4.77229881863338E-03, -2.06051853225595E-15) X( 2) = ( -9.99988612517156E-01, -3.58778904261845E-15) X( 3) = ( -7.94232615166545E-01, 4.57061679720818E-16) X( 4) = ( -6.07613818971978E-01, -1.64100571855188E-15) X( 5) = ( 9.97769920671560E-01, 1.07015688939594E-15) X( 6) = ( 6.67471752441140E-02, 3.50230940921205E-15) X( 7) = ( 9.52226100439734E-01, -1.09066160745848E-15) X( 8) = ( 3.05393931899998E-01, -1.58652393292026E-15) X( 9) = ( -1.53819231206681E-01, 6.94277230542370E-01) PATH NUMBER = 87 ARCLEN = 1.22350872477984E+01 NFE = 202 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.88987649071241E-14 X( 1) = ( 1.52882796872254E+00, 5.93006252708760E-01) X( 2) = ( -7.34212672558230E-01, 1.23479827937265E+00) X( 3) = ( -6.27822700511963E-01, -2.57790977457442E-01) X( 4) = ( 8.42157099175799E-01, -1.92181515531183E-01) X( 5) = ( 1.34052542652371E+00, 1.04876828069926E+00) X( 6) = ( -1.25119464901042E+00, 1.12364654685892E+00) X( 7) = ( 7.03035713465339E-01, -2.44536619572988E-01) X( 8) = ( -7.83389442654795E-01, -2.19454038373666E-01) X( 9) = ( 4.60653591050045E-01, -1.71942534352613E-01) PATH NUMBER = 88 ARCLEN = 2.68611057294038E+01 NFE = 208 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.61972663878971E-13 X( 1) = ( 2.57986739985376E+14, 1.71766810045105E+14) X( 2) = ( -1.71766810045105E+14, 2.57986739985375E+14) X( 3) = ( 9.00772947670561E-02, -5.22828782903239E-01) X( 4) = ( -8.86132949085023E-01, -3.82932531469228E+00) X( 5) = ( -6.54029777826501E+00, -5.01372787570337E+00) X( 6) = ( -1.08822231677284E+00, 2.22281539042927E+00) X( 7) = ( 4.21874282666234E+12, 2.17003469963549E+13) X( 8) = ( -2.17003469963549E+13, 4.21874282666250E+12) X( 9) = ( 1.99840144432528E-15, -1.94289029309402E-16) PATH NUMBER = 89 ARCLEN = 1.12452063697637E+01 NFE = 165 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 9.43812414393657E-14 X( 1) = ( -4.29189775738583E+00, 1.35497413173880E+01) X( 2) = ( 8.64489086541263E+00, -8.28684200306236E+00) X( 3) = ( 3.79492141608415E+14, 3.32698532545077E+14) X( 4) = ( -3.32698532545077E+14, 3.79492141608415E+14) X( 5) = ( 7.05846270260087E+15, 1.45646098584445E+16) X( 6) = ( -1.45646098584445E+16, 7.05846270260087E+15) X( 7) = ( 1.22331703956979E+00, -2.74060949174937E+00) X( 8) = ( -1.59380523678886E+00, 9.75400803178799E-01) X( 9) = ( -1.11022302462516E-16, -1.11022302462516E-16) PATH NUMBER = 90 ARCLEN = 2.87513315236804E+01 NFE = 168 IFLAG2 = 11 REAL, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.82447734083313E-16 X( 1) = ( -6.44884386482952E-01, -2.15505977442961E-16) X( 2) = ( 7.64280137168634E-01, 6.33145843739751E-17) X( 3) = ( 6.26491381419070E-01, 1.39808559620242E-16) X( 4) = ( 7.79428347577649E-01, 6.40799902485316E-17) X( 5) = ( -7.57037314113677E-01, -1.51082547746675E-16) X( 6) = ( 6.53371643890022E-01, 1.67500582955992E-16) X( 7) = ( -4.88045334896596E-01, 0.00000000000000E+00) X( 8) = ( -8.72818280677983E-01, -2.47810076470194E-16) X( 9) = ( -2.98921290384287E-01, -6.57895574633736E-01) PATH NUMBER = 91 ARCLEN = 9.19349885727033E+00 NFE = 121 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 1.23021491194422E-13 X( 1) = ( 4.43664019476913E-01, 7.66038594780282E-01) X( 2) = ( -1.35688105043191E+00, 5.37907754233979E-01) X( 3) = ( -1.88160550542394E+14, -1.01051437499420E+14) X( 4) = ( -1.01051437499419E+14, 1.88160550542394E+14) X( 5) = ( -4.08244523678432E+14, -1.68460316974556E+15) X( 6) = ( -1.68460316974556E+15, 4.08244523678432E+14) X( 7) = ( -1.88387159762486E-01, -7.70176722258540E-01) X( 8) = ( 4.16248445921501E-01, -1.24244670805642E-01) X( 9) = ( -7.77156117237610E-16, -8.32667268468867E-17) PATH NUMBER = 92 ARCLEN = 4.14196611013007E+00 NFE = 143 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 2.97397152238306E-18 X( 1) = ( -8.40062525275419E-01, 3.31061653116358E-01) X( 2) = ( 7.38680181298250E-01, 3.76499187848783E-01) X( 3) = ( 5.17100724931638E-01, 3.88067038518990E+00) X( 4) = ( 4.00539746007343E+00, -5.00998337719435E-01) X( 5) = ( -1.65699648586207E+00, -5.82716504385741E-02) X( 6) = ( -7.30400050240809E-02, 1.32195938335803E+00) X( 7) = ( 3.73775710005446E+00, 7.06361391302761E-01) X( 8) = ( -7.32043054625677E-01, 3.60662844741596E+00) X( 9) = ( 7.53453708599470E-02, 7.98822897214044E-02) PATH NUMBER = 93 ARCLEN = 2.14564532456859E+01 NFE = 192 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 4.73793060642606E-14 X( 1) = ( -3.59213282135408E-01, 1.75620811047259E-01) X( 2) = ( 9.51945474476283E-01, 6.62698963743439E-02) X( 3) = ( 1.07619680311176E+00, -3.86550605399091E-02) X( 4) = ( -1.01778566379975E-01, -4.08734904182384E-01) X( 5) = ( -1.33456507217685E+00, -6.81624099524745E-01) X( 6) = ( 8.74702052835709E-01, -1.03997894212166E+00) X( 7) = ( -1.07398005488249E+00, -6.47210247186672E-02) X( 8) = ( -1.65402932515423E-01, 4.20240975309951E-01) X( 9) = ( -6.21797923991053E-01, 2.45396199993080E-01) PATH NUMBER = 94 ARCLEN = 7.35225178113378E+00 NFE = 113 IFLAG2 = 11 COMPLEX, FINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 3.95341309798032E-17 X( 1) = ( -1.78654801865848E-02, 2.42461036816495E-01) X( 2) = ( 1.02882744214239E+00, 4.21031037065201E-03) X( 3) = ( -3.32182462985674E+00, -2.10811115213515E+00) X( 4) = ( -2.17826339358012E+00, 3.21484333266451E+00) X( 5) = ( 1.09509784985601E+00, 4.19501638508547E-02) X( 6) = ( 1.00815582087485E-01, -4.55678906801468E-01) X( 7) = ( 2.99182814752127E+00, 1.24565781632952E+00) X( 8) = ( 1.30852462014192E+00, -2.84808864862652E+00) X( 9) = ( -1.18967115439308E-01, 9.50913537135347E-02) PATH NUMBER = 95 ARCLEN = 1.62383492342522E+02 NFE = 495 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.17028949804327E-13 X( 1) = ( -1.03617282984599E+01, -3.34972421927597E+00) X( 2) = ( 1.00646877116624E+01, -2.69972240689490E-01) X( 3) = ( 7.15448009463698E+13, 9.26055820305168E+13) X( 4) = ( 9.26055820305162E+13, -7.15448009463696E+13) X( 5) = ( 8.63723023378983E+13, -9.53278951952062E+14) X( 6) = ( -9.53278951952063E+14, -8.63723023378992E+13) X( 7) = ( 6.14892181413081E-02, 5.91353946672767E+00) X( 8) = ( -1.43369031121600E+00, -1.19464098417152E+00) X( 9) = ( -1.44328993201270E-15, 4.99600361081320E-16) PATH NUMBER = 96 ARCLEN = 1.50010049226036E+02 NFE = 360 IFLAG2 = 21 COMPLEX, INFINITE SOLUTION LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.80109682761924E-13 X( 1) = ( -3.90039560194330E+01, 1.82278882947698E+01) X( 2) = ( 3.45252364156759E+01, -4.70839021041544E+00) X( 3) = ( -2.56990637499573E+14, -5.75080301012711E+13) X( 4) = ( 5.75080301012682E+13, -2.56990637499575E+14) X( 5) = ( -1.21985561015691E+15, -2.24643254426566E+15) X( 6) = ( -2.24643254426567E+15, 1.21985561015691E+15) X( 7) = ( -3.16160530035586E+00, 4.22374133354725E+00) X( 8) = ( -1.43110221168648E+00, -1.77976927022992E+00) X( 9) = ( -6.66133814775094E-16, -1.66533453693773E-16) Testing optional arguments. PATH NUMBER = 13 ARCLEN = 1.38345665839938E+01 NFE = 196 IFLAG2 = 11 LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 5.61544526558644E-13 X( 1) = ( 4.60199313710204E-01, -1.13593415213791E-12) X( 2) = ( 6.47310119284360E-01, -1.18130448910141E-12) X( 3) = ( 5.45451458629319E-01, -3.22154528361619E-12) X( 4) = ( -9.14959682718453E-01, 4.68952494893297E-13) X( 5) = ( 4.34051374223916E-01, 4.41135409257318E-14) X( 6) = ( 2.17701204577855E-01, -1.95471582414453E-12) X( 7) = ( 4.50168351613835E-01, 9.87866821608084E-12) X( 8) = ( 1.04963129540163E+00, 3.42535570774125E-12) X( 9) = ( -1.63223051866181E-01, 1.93784395129743E-01) Statistics for retracked path. PATH NUMBER = 13 ARCLEN = 1.38617859813775E+01 NFE = 278 IFLAG2 = 11 LAMBDA = 1.00000000000000E+00, ESTIMATED ERROR = 6.38655202147685E-18 X( 1) = ( 4.60199313710775E-01, -4.18932012591540E-17) X( 2) = ( 6.47310119280712E-01, 0.00000000000000E+00) X( 3) = ( 5.45451458619945E-01, -1.67572805036616E-16) X( 4) = ( -9.14959682710769E-01, 0.00000000000000E+00) X( 5) = ( 4.34051374225724E-01, 4.18932012591540E-17) X( 6) = ( 2.17701204575123E-01, -4.18932012591540E-17) X( 7) = ( 4.50168351633661E-01, 1.67572805036616E-16) X( 8) = ( 1.04963129539735E+00, -2.51359207554924E-16) X( 9) = ( -1.63223051865496E-01, 1.93784395129652E-01) SHAR_EOF fi # end of overwriting check if test -f 'main_template.f90' then echo shar: will not over-write existing file "'main_template.f90'" else cat << SHAR_EOF > 'main_template.f90' ! This file contains a sample main program and user written subroutine ! for the POLSYS_PLP package. Layne T. Watson, Steven M. Wise, Andrew ! J. Sommese, August, 1998. Cosmetic changes, 10/1999. PROGRAM MAIN_TEMPLATE ! ! MAIN_TEMPLATE is a template for calling BEZOUT_PLP and POLSYS_PLP. ! There are two options provided by MAIN_TEMPLATE: (1) MAIN_TEMPLATE ! returns only the generalized PLP Bezout number ("root count") of the ! target polynomial system based on a system partition provided by the ! user (calls BEZOUT_PLP) or (2) MAIN_TEMPLATE returns the root count, ! homotopy path tracking statistics, error flags, and the roots (calls ! POLSYS_PLP). For the first option set the logical switch ! ROOT_COUNT_ONLY = .TRUE., and for the second option set ROOT_COUNT_ONLY ! = .FALSE.. ! ! The file INPUT.DAT contains data for several sample target systems ! and system partitions. This main program illustrates how to find the ! root count for several different partitions for the same polynomial ! system, and also how to solve more than one polynomial system in the ! same run. The data is read in using NAMELISTs, which makes the data ! file INPUT.DAT self-explanatory. The problem definition is given in ! the NAMELIST /PROBLEM/ and the PLP system partition is defined in the ! NAMELIST /SYSPARTITION/. A new polynomial system definition is ! signalled by setting the variable NEW_PROBLEM=.TRUE. in the /PROBLEM/ ! namelist. Thus a data file describing several different polynomial ! systems to solve, and exploring different system partitions for the ! same polynomial system, might look like ! ! &PROBLEM NEW_PROBLEM=.TRUE. data / ! &SYSPARTITION ROOT_COUNT_ONLY=.FALSE. data / finds roots ! ! &PROBLEM NEW_PROBLEM=.TRUE. data / ! &SYSPARTITION ROOT_COUNT_ONLY=.TRUE. data / finds root count only ! &PROBLEM NEW_PROBLEM=.FALSE. / ! &SYSPARTITION ROOT_COUNT_ONLY=.TRUE. data / a different root count ! &PROBLEM NEW_PROBLEM=.FALSE. / ! &SYSPARTITION ROOT_COUNT_ONLY=.TRUE. data / another root count ! ! Note that static arrays are used below only to support NAMELIST input; ! the actual storage of the polynomial system and partition information ! in the data structures in the module GLOBAL_PLP is very compact. USE POLSYS ! Local variables. IMPLICIT NONE INTEGER, PARAMETER:: NN = 30, MMAXT = 50 INTEGER:: BPLP, I, IFLAG1, J, K, M, MAXT, N, NUMRR = 1 INTEGER, DIMENSION(NN):: NUM_TERMS, NUM_SETS INTEGER, DIMENSION(NN,NN):: NUM_INDICES INTEGER, DIMENSION(NN,NN,NN):: INDEX INTEGER, DIMENSION(NN,MMAXT,NN):: DEG INTEGER, DIMENSION(:), POINTER:: IFLAG2, NFE REAL (KIND=R8):: TRACKTOL, FINALTOL, SINGTOL REAL (KIND=R8), DIMENSION(8):: SSPAR REAL (KIND=R8), DIMENSION(NN):: SCALE_FACTORS REAL (KIND=R8), DIMENSION(:), POINTER:: ARCLEN, LAMBDA COMPLEX (KIND=R8), DIMENSION(NN,MMAXT):: COEF COMPLEX (KIND=R8), DIMENSION(:,:), POINTER:: ROOTS CHARACTER (LEN=80):: TITLE CHARACTER (LEN=80), DIMENSION(NN):: P LOGICAL:: NEW_PROBLEM, NO_SCALING, RECALL, ROOT_COUNT_ONLY, USER_F_DF NAMELIST /PROBLEM/ COEF, DEG, FINALTOL, NEW_PROBLEM, N, NUMRR, NUM_TERMS, & SINGTOL, SSPAR, TITLE, TRACKTOL NAMELIST /SYSPARTITION/ INDEX, NUM_INDICES, NUM_SETS, P, ROOT_COUNT_ONLY NULLIFY(IFLAG2, NFE, ARCLEN, LAMBDA, ROOTS) ! Disassociate pointers. ! MAIN_TEMPLATE reads the target polynomial system definition and the ! system partition specification from the file INPUT.DAT. OPEN (UNIT=3,FILE='INPUT.DAT',ACTION='READ',POSITION='REWIND', & DELIM='APOSTROPHE',STATUS='OLD') ! All output is to the file OUTPUT.DAT, which is overwritten. OPEN (UNIT=7,FILE='OUTPUT.DAT',ACTION='WRITE',STATUS='REPLACE',DELIM='NONE') SSPAR(1:8) = 0.0_R8 ; DEG = 0 ; COEF = (0.0_R8,0.0_R8) MAIN_LOOP: & DO READ (3,NML=PROBLEM,END=500) IF (NEW_PROBLEM) THEN WRITE (7,190) TITLE,TRACKTOL,FINALTOL,SINGTOL,SSPAR(5),N 190 FORMAT(///A80//'TRACKTOL, FINALTOL =',2ES22.14, & /,'SINGTOL (0 SETS DEFAULT) =',ES22.14, & /,'SSPAR(5) (0 SETS DEFAULT) =',ES22.14, & /,'NUMBER OF EQUATIONS =',I3) WRITE (7,200) 200 FORMAT(/'****** COEFFICIENT TABLEAU ******') DO I=1,N WRITE (7,210) I,NUM_TERMS(I) 210 FORMAT(/,'POLYNOMIAL(',I2,')%NUM_TERMS =',I3) DO J=1,NUM_TERMS(I) WRITE (7,220) (I,J,K,DEG(I,J,K), K=1,N) 220 FORMAT('POLYNOMIAL(',I2,')%TERM(',I2,')%DEG(',I2,') =',I2) WRITE (7,230) I,J,COEF(I,J) 230 FORMAT('POLYNOMIAL(',I2,')%TERM(',I2,')%COEF = (',ES22.14, & ',',ES22.14,')') END DO END DO ! Allocate storage for the target system in POLYNOMIAL. CALL CLEANUP_POL ALLOCATE(POLYNOMIAL(N)) DO I=1,N POLYNOMIAL(I)%NUM_TERMS = NUM_TERMS(I) ALLOCATE(POLYNOMIAL(I)%TERM(NUM_TERMS(I))) DO J=1,NUM_TERMS(I) ALLOCATE(POLYNOMIAL(I)%TERM(J)%DEG(N+1)) POLYNOMIAL(I)%TERM(J)%COEF = COEF(I,J) POLYNOMIAL(I)%TERM(J)%DEG(1:N) = DEG(I,J,1:N) END DO END DO END IF READ (3,NML=SYSPARTITION) ! Allocate storage for the system partition in PARTITION. CALL CLEANUP_PAR ALLOCATE(PARTITION_SIZES(N)) PARTITION_SIZES(1:N) = NUM_SETS(1:N) ALLOCATE(PARTITION(N)) DO I=1,N ALLOCATE(PARTITION(I)%SET(PARTITION_SIZES(I))) DO J=1,PARTITION_SIZES(I) PARTITION(I)%SET(J)%NUM_INDICES = NUM_INDICES(I,J) ALLOCATE(PARTITION(I)%SET(J)%INDEX(NUM_INDICES(I,J))) PARTITION(I)%SET(J)%INDEX(1:NUM_INDICES(I,J)) = & INDEX(I,J,1:NUM_INDICES(I,J)) END DO END DO IF (ROOT_COUNT_ONLY) THEN ! Compute only the PLP Bezout number BPLP for this partition. MAXT = MAXVAL(NUM_TERMS(1:N)) CALL BEZOUT_PLP(N,MAXT,SINGTOL,BPLP) ELSE ! Compute all BPLP roots of the target polynomial system. CALL POLSYS_PLP(N,TRACKTOL,FINALTOL,SINGTOL,SSPAR,BPLP,IFLAG1,IFLAG2, & ARCLEN,LAMBDA,ROOTS,NFE,SCALE_FACTORS) END IF WRITE (7,240) BPLP, (K,TRIM(P(K)),K=1,N) 240 FORMAT(//,'GENERALIZED PLP BEZOUT NUMBER (BPLP) =',I10, & /'BASED ON THE FOLLOWING SYSTEM PARTITION:',/('P(',I2,') = ',A)) IF (.NOT. ROOT_COUNT_ONLY) THEN DO M=1,BPLP WRITE (7,260) M,ARCLEN(M),NFE(M),IFLAG2(M) 260 FORMAT(/'PATH NUMBER =',I10//'ARCLEN =',ES22.14/'NFE =',I5/ & 'IFLAG2 =',I3) ! Designate solutions as "REAL" or "COMPLEX." IF (ANY(ABS(AIMAG(ROOTS(1:N,M))) >= 1.0E-4_R8)) THEN WRITE (7,270,ADVANCE='NO') 270 FORMAT('COMPLEX, ') ELSE WRITE (7,280,ADVANCE='NO') 280 FORMAT('REAL, ') END IF ! Designate solutions as "FINITE" or "INFINITE." IF (ABS(ROOTS(N+1,M)) < 1.0E-6_R8) THEN WRITE (7,290) 290 FORMAT('INFINITE SOLUTION') ELSE WRITE (7,300) 300 FORMAT('FINITE SOLUTION') END IF IF (MOD(IFLAG2(M),10) == 1) THEN WRITE (7,310) 1.0_R8,LAMBDA(M) 310 FORMAT('LAMBDA =',ES22.14,', ESTIMATED ERROR =',ES22.14/) ELSE WRITE (7,315) LAMBDA(M) 315 FORMAT('LAMBDA =',ES22.14/) END IF WRITE (7,320) (J,ROOTS(J,M),J=1,N) 320 FORMAT(('X(',I2,') = (',ES22.14,',',ES22.14,')')) WRITE (7,330) N + 1, ROOTS(N+1,M) 330 FORMAT(/,'X(',I2,') = (',ES22.14,',',ES22.14,')') END DO END IF END DO MAIN_LOOP 500 CALL TEST_OPTIONS ! This tests various options, and is not part of a ! typical main program. CLOSE (UNIT=3) ; CLOSE (UNIT=7) CALL CLEANUP_POL CALL CLEANUP_PAR STOP CONTAINS SUBROUTINE CLEANUP_POL ! Deallocates structure POLYNOMIAL. IF (.NOT. ALLOCATED(POLYNOMIAL)) RETURN DO I=1,SIZE(POLYNOMIAL) DO J=1,NUMT(I) DEALLOCATE(POLYNOMIAL(I)%TERM(J)%DEG) END DO DEALLOCATE(POLYNOMIAL(I)%TERM) END DO DEALLOCATE(POLYNOMIAL) RETURN END SUBROUTINE CLEANUP_POL SUBROUTINE CLEANUP_PAR ! Deallocates structure PARTITION. IF (.NOT. ALLOCATED(PARTITION)) RETURN DO I=1,SIZE(PARTITION) DO J=1,PARTITION_SIZES(I) DEALLOCATE(PARTITION(I)%SET(J)%INDEX) END DO DEALLOCATE(PARTITION(I)%SET) END DO DEALLOCATE(PARTITION) DEALLOCATE(PARTITION_SIZES) RETURN END SUBROUTINE CLEANUP_PAR SUBROUTINE TEST_OPTIONS IMPLICIT NONE ! Illustrate use of optional arguments NUMRR, NO_SCALING, USER_F_DF: TRACKTOL = 1.0E-6_R8; FINALTOL = 1.0E-8_R8 CALL POLSYS_PLP(N,TRACKTOL,FINALTOL,SINGTOL,SSPAR,BPLP,IFLAG1,IFLAG2, & ARCLEN,LAMBDA,ROOTS,NFE,SCALE_FACTORS, NUMRR=1, NO_SCALING=.TRUE., & USER_F_DF=.TRUE.) M = 13 WRITE (7,FMT="(//'Testing optional arguments.')") WRITE (7,260) M,ARCLEN(M),NFE(M),IFLAG2(M) IF (MOD(IFLAG2(M),10) == 1) THEN WRITE (7,310) 1.0_R8,LAMBDA(M) ELSE WRITE (7,315) LAMBDA(M) END IF WRITE (7,320) (J,ROOTS(J,M),J=1,N) WRITE (7,330) N + 1, ROOTS(N+1,M) ! Now retrack one of these paths (#13) using the RECALL option: IFLAG2(13) = -2 TRACKTOL = 1.0E-10_R8; FINALTOL = 1.0E-14_R8 CALL POLSYS_PLP(N,TRACKTOL,FINALTOL,SINGTOL,SSPAR,BPLP,IFLAG1,IFLAG2, & ARCLEN,LAMBDA,ROOTS,NFE,SCALE_FACTORS, NUMRR=3, NO_SCALING=.TRUE., & USER_F_DF=.TRUE., RECALL=.TRUE.) M = 13 WRITE (7,FMT="(//'Statistics for retracked path.')") WRITE (7,260) M,ARCLEN(M),NFE(M),IFLAG2(M) IF (MOD(IFLAG2(M),10) == 1) THEN WRITE (7,310) 1.0_R8,LAMBDA(M) ELSE WRITE (7,315) LAMBDA(M) END IF WRITE (7,320) (J,ROOTS(J,M),J=1,N) WRITE (7,330) N + 1, ROOTS(N+1,M) RETURN 260 FORMAT(/'PATH NUMBER =',I10//'ARCLEN =',ES22.14/'NFE =',I5/ & 'IFLAG2 =',I3) 310 FORMAT('LAMBDA =',ES22.14,', ESTIMATED ERROR =',ES22.14/) 315 FORMAT('LAMBDA =',ES22.14/) 320 FORMAT(('X(',I2,') = (',ES22.14,',',ES22.14,')')) 330 FORMAT(/,'X(',I2,') = (',ES22.14,',',ES22.14,')') END SUBROUTINE TEST_OPTIONS END PROGRAM MAIN_TEMPLATE !!! SUBROUTINE TARGET_SYSTEM_USER(N,PROJ_COEF,XC,F,DF) ! Template for user written subroutine to evaluate the (complex) target ! system F(XC) and its (complex) N x N Jacobian matrix DF(XC). XC(1:N+1) ! is in complex projective coordinates, and the homogeneous coordinate ! XC(N+1) is explicitly eliminated from F(XC) and DF(XC) using the ! projective transformation (cf. the comments in START_POINTS_PLP). The ! comments in the internal subroutine TARGET_SYSTEM should be read before ! attempting to write this subroutine; pay particular attention to the ! handling of the homogeneous coordinate XC(N+1). DF(:,N+1) is not ! referenced by the calling program. USE REAL_PRECISION USE GLOBAL_PLP IMPLICIT NONE INTEGER, INTENT(IN):: N COMPLEX (KIND=R8), INTENT(IN), DIMENSION(N+1):: PROJ_COEF,XC COMPLEX (KIND=R8), INTENT(OUT):: F(N), DF(N,N+1) ! For greater efficiency, replace the following code (which is just the ! internal POLSYS_PLP subroutine TARGET_SYSTEM) with hand-crafted code. ! # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # INTEGER:: DEGREE, I, J, K, L COMPLEX (KIND=R8):: T, TS DO I=1,N TS = (0.0_R8, 0.0_R8) DO J=1,POLYNOMIAL(I)%NUM_TERMS T = POLYNOMIAL(I)%TERM(J)%COEF DO K=1,N+1 DEGREE = POLYNOMIAL(I)%TERM(J)%DEG(K) IF (DEGREE == 0) CYCLE T = T * XC(K)**DEGREE END DO TS = TS + T END DO F(I) = TS END DO DF = (0.0_R8,0.0_R8) DO I=1,N DO J=1,N+1 TS = (0.0_R8,0.0_R8) DO K=1,POLYNOMIAL(I)%NUM_TERMS DEGREE = POLYNOMIAL(I)%TERM(K)%DEG(J) IF (DEGREE == 0) CYCLE T = POLYNOMIAL(I)%TERM(K)%COEF * DEGREE * (XC(J)**(DEGREE - 1)) DO L=1,N+1 DEGREE = POLYNOMIAL(I)%TERM(K)%DEG(L) IF ((L == J) .OR. (DEGREE == 0)) CYCLE T = T * (XC(L)**DEGREE) END DO TS = TS + T END DO DF(I,J) = TS END DO END DO DO I=1,N DF(I,1:N) = DF(I,1:N) + PROJ_COEF(1:N) * DF(I,N+1) END DO ! # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # RETURN END SUBROUTINE TARGET_SYSTEM_USER SHAR_EOF fi # end of overwriting check if test -f 'test_install.f90' then echo shar: will not over-write existing file "'test_install.f90'" else cat << SHAR_EOF > 'test_install.f90' ! This file contains a main program to test the correctness of the ! compiled code; it is uncommented and has no further use beyond testing ! the installation. Author: Layne T. Watson, 10/1999. ! Compile this file (free form Fortran 90) and link it to the object ! files from the compiles of polsys_plp.f90 (free form) and lapack_plp.f ! (fixed format). Then run the executable with input file INPUT.DAT ! (upper case). A message indicating apparent success or failure of the ! installation is written to standard out. PROGRAM TEST_INSTALL USE POLSYS IMPLICIT NONE INTEGER, PARAMETER:: NN=30, MMAXT=50 INTEGER:: BPLP, I, IFLAG1, J, K, M, MAXT, N, NUMRR=1 INTEGER, DIMENSION(NN):: NUM_TERMS, NUM_SETS INTEGER, DIMENSION(NN,NN):: NUM_INDICES INTEGER, DIMENSION(NN,NN,NN):: INDEX INTEGER, DIMENSION(NN,MMAXT,NN):: DEG INTEGER, DIMENSION(:), POINTER:: IFLAG2, NFE REAL (KIND=R8):: TRACKTOL, FINALTOL, SINGTOL REAL (KIND=R8), DIMENSION(8):: SSPAR REAL (KIND=R8), DIMENSION(NN):: SCALE_FACTORS REAL (KIND=R8), DIMENSION(:), POINTER:: ARCLEN, LAMBDA COMPLEX (KIND=R8), DIMENSION(NN,MMAXT):: COEF COMPLEX (KIND=R8), DIMENSION(:,:), POINTER:: ROOTS COMPLEX (KIND=R8), DIMENSION(2,4):: EROOTS = RESHAPE(SOURCE=(/ & ( 2.34233851959121E+03_R8, 0.0E00_R8), & ( -7.88344824094120E-01_R8, 0.0E00_R8), & ( 9.08921229615388E-02_R8, 0.0E00_R8), & ( -9.11497098197499E-02_R8, 0.0E00_R8), & ( 1.61478579234357E-02_R8, 1.68496955498881E+00_R8), & ( 2.67994739614461E-04_R8, 4.42802993973661E-03_R8), & ( 1.61478579234359E-02_R8, -1.68496955498881E+00_R8), & ( 2.67994739614461E-04_R8, -4.42802993973661E-03_R8) /), & SHAPE=(/ 2,4 /) ) CHARACTER (LEN=80):: TITLE CHARACTER (LEN=80), DIMENSION(NN):: P LOGICAL:: N