trisurf-ng.git - Gitblit

parent: 8854f510 | patch | commit | ignore whitespace

Samo Penic

2012-06-27 3b39021cfdf157d35ce3475fb33b2c7a35bce676

Debugged the spherical harmonics

4 files modified

2 files added

	src/Makefile.am	2 ●●●●● patch \| view \| raw \| blame \| history
	src/co_test.c	20 ●●●●● patch \| view \| raw \| blame \| history
	src/sh.c	31 ●●●●● patch \| view \| raw \| blame \| history
	src/sh.h	4 ●●●●● patch \| view \| raw \| blame \| history
	test/Ylmi2-2i.dat	1448 ●●●●● patch \| view \| raw \| blame \| history
	test/ampl.dat	441 ●●●●● patch \| view \| raw \| blame \| history

 src/Makefile.am

@@ -8,4 +8,4 @@
AM_CFLAGS = -Wall -Werror
co_testdir=../
co_test_PROGRAMS=co_test
co_test_SOURCES= general.c vertex.c bond.c triangle.c cell.c vesicle.c initial_distribution.c io.c energy.c sh.c co_test.c
co_test_SOURCES= general.c vertex.c bond.c triangle.c cell.c vesicle.c initial_distribution.c io.c energy.c sh.c co_test.c frame.c

 src/co_test.c

@@ -1,7 +1,9 @@
#include "general.h"
#include "sh.h"
#include <stdlib.h>
#include "vesicle.h"
#include "initial_distribution.h"
#include "frame.h"
#include <math.h>

int main(){
@@ -15,7 +17,8 @@
vesicle->bending_rigidity=25.0;
fprintf(stderr,"xk=%f\n",vesicle->bending_rigidity);

vesicle->sphHarmonics=sph_init(vesicle->vlist, 10);
centermass(vesicle);
vesicle->sphHarmonics=sph_init(vesicle->vlist, 21);
int i,j;
ts_double area;
for(i=1;i<=vesicle->sphHarmonics->l;i++){
@@ -33,9 +36,24 @@
    area+=vesicle->tlist->tria[i]->area;
}
fprintf(stderr,"area_dipyramid=%e\n",area);
fprintf(stderr,"Centroid=(%e,%e,%e)\n", vesicle->cm[0],vesicle->cm[1],vesicle->cm[2]);

preparationSh(vesicle,r0);
calculateYlmi(vesicle);
ts_coord *coord=(ts_coord *)malloc(sizeof(ts_coord));
ts_double fi, theta;
  for(i=0;i<vesicle->vlist->n;i++){

    cart2sph(coord,vesicle->vlist->vtx[i]->x, vesicle->vlist->vtx[i]->y, vesicle->vlist->vtx[i]->z);
        fi=coord->e2;
        theta=coord->e3; 


    fprintf(stderr,"VTX(x,y,z,fi,theta)=%e,%e,%e,%e,%e ---> Ylmi(2,-2,%d)=%9.7e <---- data: omega=%e, r0=%e, plgndr(2,abs(-2),cos(theta))=%e, co(2,-2)=%e cos((m-l-1)*fi)=%e\n",vesicle->vlist->vtx[i]->x, vesicle->vlist->vtx[i]->y, vesicle->vlist->vtx[i]->z,fi,theta,i+1,vesicle->sphHarmonics->Ylmi[2][0][i], vesicle->vlist->vtx[i]->solAngle, vesicle->vlist->vtx[i]->relR, plgndr(2,abs(-2),cos(theta)), vesicle->sphHarmonics->co[2][1], cos(-2*fi));

    }

free(coord);
calculateUlm(vesicle);

for(i=0;i<vesicle->sphHarmonics->l;i++){

 src/sh.c

@@ -69,7 +69,7 @@
}

/* Gives you legendre polynomials. Taken from NR, p. 254 */
ts_double plgndr(ts_int l, ts_int m, ts_float x){
ts_double plgndr(ts_int l, ts_int m, ts_double x){
    ts_double fact, pll, pmm, pmmp1, somx2;
    ts_int i,ll;

@@ -274,7 +274,7 @@
    r=sqrtl(cvtx->x*cvtx->x+cvtx->y*cvtx->y+cvtx->z*cvtx->z);
#endif
    cvtx->relR=(r-r0)/r0;
    cvtx->solAngle=cvtx->projArea/cvtx->relR * cvtx->projArea/cvtx->relR;
    cvtx->solAngle=cvtx->projArea/r/r;
    }
    return TS_SUCCESS;
}
@@ -282,7 +282,7 @@


ts_bool calculateYlmi(ts_vesicle *vesicle){
    ts_uint i,j,k;
    ts_int i,j,k;
    ts_spharm *sph=vesicle->sphHarmonics;
    ts_coord *coord=(ts_coord *)malloc(sizeof(ts_coord));
    ts_double fi, theta;
@@ -297,11 +297,30 @@
        for(i=1; i<sph->l; i++){
            for(j=0;j<i;j++){
            m=j+1;
//Nastudiraj!!!!!
                sph->Ylmi[i][j][k]=sph->co[i][m]*cos((m-i-1)*fi)*pow(-1,m-i-1)*plgndr(i,abs(m-i-1),cos(theta));
        if(i==2 && j==0){
    /*    fprintf(stderr," **** vtx %d ****\n", k+1);
        fprintf(stderr,"m-i-1 =%d\n",m-i-1);
        fprintf(stderr,"fi =%e\n",fi);
        fprintf(stderr,"(m-i-1)*fi =%e\n",((ts_double)(m-i-1))*fi);
        fprintf(stderr,"-2*fi =%e\n",-2*fi);
        fprintf(stderr,"m =%d\n",m);
	
        fprintf(stderr," cos(m-i-1)=%e\n",cos((m-i-1)*fi));
        fprintf(stderr," cos(-2*fi)=%e\n",cos(-2*fi));
        fprintf(stderr," sph->co[i][m]=%e\n",sph->co[i][m]);
        fprintf(stderr," plgndr(i,abs(m-i-1),cos(theta))=%e\n",plgndr(i,abs(m-i-1),cos(theta)));
*/
        }
            }
                sph->Ylmi[i][j+1][k]=sph->co[i][m+1]*plgndr(i,0,cos(theta));
            for(j=i+1;j<2*i;j++){
//Nastudiraj!!!!!
        j=i;
        m=j+1;
                sph->Ylmi[i][j][k]=sph->co[i][m]*plgndr(i,0,cos(theta));
            for(j=i+1;j<2*i+1;j++){
            m=j+1;
//Nastudiraj!!!!!
                sph->Ylmi[i][j][k]=sph->co[i][m]*sin((m-i-1)*fi)*plgndr(i,m-i-1,cos(theta));
            }
        }
@@ -326,7 +345,7 @@
    for(k=0;k<vesicle->vlist->n; k++){
        cvtx=vesicle->vlist->vtx[k];
        for(i=0;i<vesicle->sphHarmonics->l;i++){
            for(j=0;j<2*i;j++){
            for(j=0;j<2*i+1;j++){
                vesicle->sphHarmonics->ulm[i][j]+= cvtx->solAngle*cvtx->relR*vesicle->sphHarmonics->Ylmi[i][j][k];
            }


 src/sh.h

@@ -2,10 +2,10 @@
#define _H_SH
#include "general.h"

ts_double plgndr(ts_int l, ts_int m, ts_float x);
ts_double plgndr(ts_int l, ts_int m, ts_double x);
ts_double shY(ts_int l,ts_int m,ts_double theta,ts_double fi);


ts_bool *cart2sph(ts_coord *coord, ts_double x, ts_double y, ts_double z);
ts_bool precomputeShCoeff(ts_spharm *sph);
ts_spharm *sph_init(ts_vertex_list *vlist, ts_uint l);
ts_bool sph_free(ts_spharm *sph);

 test/Ylmi2-2i.dat

New file
@@ -0,0 +1,1448 @@
 l, m, i (vertex id), Y_l^m(i)
           2          -2           1  -0.0000000000000000       7.98716080604552755E-017 -4.23219779117647779E-016   10.724915113400144     
           2          -2           2 -5.53002604174509214E-003  7.98716080604552755E-017   1.0207810105846389        10.094037753788371     
           2          -2           3  4.47388504710780500E-003  0.97082043182687339       0.31543867980588625        10.094037753788371     
           2          -2           4 -1.70887202623525567E-003  0.60000002384185813      -0.82582918509820669        10.094037753788371     
           2          -2           5 -1.70887202623525437E-003 -0.60000002384185791      -0.82582918509820669        10.094037753788371     
           2          -2           6  4.47388504710780413E-003 -0.97082043182687316       0.31543867980588625        10.094037753788371     
           2          -2           7 -2.42944152525294901E-002  7.98716080604552755E-017   2.0415620211692782        9.4631603941765974     
           2          -2           8 -4.99032514569490004E-003  0.97082043182687339        1.3362196903905255        9.4631603941765974     
           2          -2           9  1.96545948076982877E-002   1.9416408636537466       0.63087735961177294        9.4631603941765974     
           2          -2          10  1.30648408463425389E-002   1.5708204556687313      -0.51039050529231988        9.4631603941765974     
           2          -2          11 -7.50738718143353911E-003   1.2000000476837160       -1.6516583701964129        9.4631603941765974     
           2          -2          12 -1.61490314012952621E-002  7.98716080604552755E-017  -1.6516583701964129        9.4631603941765974     
           2          -2          13 -7.50738718143353478E-003  -1.2000000476837160       -1.6516583701964129        9.4631603941765974     
           2          -2          14  1.30648408463425320E-002  -1.5708204556687313      -0.51039050529232011        9.4631603941765974     
           2          -2          15  1.96545948076982842E-002  -1.9416408636537466       0.63087735961177294        9.4631603941765974     
           2          -2          16 -4.99032514569490958E-003 -0.97082043182687316        1.3362196903905255        9.4631603941765974     
           2          -2          17 -5.86233602927273834E-002  7.98716080604552755E-017   3.0623430317539175        8.8322830345648242     
           2          -2          18 -2.98192585765955816E-002  0.97082043182687339        2.3570007009751648        8.8322830345648242     
           2          -2          19  6.73569351025355909E-003   1.9416408636537466        1.6516583701964120        8.8322830345648242     
           2          -2          20  4.74272947441819470E-002   2.9124612954806199       0.94631603941765952        8.8322830345648242     
           2          -2          21  4.15128803859999215E-002   2.5416408874956047      -0.19495182548643328        8.8322830345648242     
           2          -2          22  1.89206775392032553E-002   2.1708204795105894       -1.3362196903905261        8.8322830345648242     
           2          -2          23 -1.81156145978182519E-002   1.8000000715255742       -2.4774875552946192        8.8322830345648242     
           2          -2          24 -3.73499928588611405E-002  0.60000002384185824       -2.4774875552946192        8.8322830345648242     
           2          -2          25 -3.73499928588611613E-002 -0.60000002384185780       -2.4774875552946192        8.8322830345648242     
           2          -2          26 -1.81156145978182380E-002  -1.8000000715255742       -2.4774875552946192        8.8322830345648242     
           2          -2          27  1.89206775392032484E-002  -2.1708204795105894       -1.3362196903905263        8.8322830345648242     
           2          -2          28  4.15128803859999285E-002  -2.5416408874956047      -0.19495182548643350        8.8322830345648242     
           2          -2          29  4.74272947441819401E-002  -2.9124612954806199       0.94631603941765952        8.8322830345648242     
           2          -2          30  6.73569351025356863E-003  -1.9416408636537468        1.6516583701964123        8.8322830345648242     
           2          -2          31 -2.98192585765955885E-002 -0.97082043182687328        2.3570007009751648        8.8322830345648242     
           2          -2          32 -0.10850580591373692       7.98716080604552755E-017   4.0831240423385573        8.2014056749530511     
           2          -2          33 -7.18182499957342874E-002  0.97082043182687339        3.3777817115598041        8.2014056749530511     
           2          -2          34 -2.35627434133698146E-002   1.9416408636537466        2.6724393807810514        8.2014056749530511     
           2          -2          35  3.16516042562239447E-002   2.9124612954806199        1.9670970500022991        8.2014056749530511     
           2          -2          36  8.77830409725628424E-002   3.8832817273074931        1.2617547192235463        8.2014056749530511     
           2          -2          37  8.45527652494112852E-002   3.5124613193224778       0.12048685431945352        8.2014056749530511     
           2          -2          38  6.16880631243949124E-002   3.1416409113374626       -1.0207810105846393        8.2014056749530511     
           2          -2          39  2.06048785107032298E-002   2.7708205033524473       -2.1620488754887321        8.2014056749530511     
           2          -2          40 -3.35301380156943635E-002   2.4000000953674321       -3.3033167403928254        8.2014056749530511     
           2          -2          41 -6.49909980206040544E-002   1.2000000476837160       -3.3033167403928254        8.2014056749530511     
           2          -2          42 -7.62506394220501676E-002  7.98716080604552755E-017  -3.3033167403928254        8.2014056749530511     
           2          -2          43 -6.49909980206040683E-002  -1.2000000476837163       -3.3033167403928254        8.2014056749530511     
           2          -2          44 -3.35301380156943427E-002  -2.4000000953674321       -3.3033167403928254        8.2014056749530511     
           2          -2          45  2.06048785107032124E-002  -2.7708205033524473       -2.1620488754887326        8.2014056749530511     
           2          -2          46  6.16880631243949193E-002  -3.1416409113374626       -1.0207810105846398        8.2014056749530511     
           2          -2          47  8.45527652494112852E-002  -3.5124613193224778       0.12048685431945308        8.2014056749530511     
           2          -2          48  8.77830409725628286E-002  -3.8832817273074931        1.2617547192235463        8.2014056749530511     
           2          -2          49  3.16516042562239447E-002  -2.9124612954806199        1.9670970500022991        8.2014056749530511     
           2          -2          50 -2.35627434133698355E-002  -1.9416408636537466        2.6724393807810514        8.2014056749530511     
           2          -2          51 -7.18182499957343290E-002 -0.97082043182687305        3.3777817115598041        8.2014056749530511     
           2          -2          52 -0.17070406550548112       7.98716080604552755E-017   5.1039050529231966        7.5705283153412779     
           2          -2          53 -0.12955857874159454       0.97082043182687339        4.3985627221444439        7.5705283153412779     
           2          -2          54 -7.21557543473051732E-002   1.9416408636537466        3.6932203913656907        7.5705283153412779     
           2          -2          55 -3.25314015534867692E-003   2.9124612954806199        2.9878780605869379        7.5705283153412779     
           2          -2          56  6.94779033483622216E-002   3.8832817273074931        2.2825357298081852        7.5705283153412779     
           2          -2          57  0.13810249000282848        4.8541021591343663        1.5771933990294329        7.5705283153412779     
           2          -2          58  0.14015228058966739        4.4832817511493506       0.43592553412534008        7.5705283153412779     
           2          -2          59  0.12000360317317647        4.1124613431643358      -0.70534233077875275        7.5705283153412779     
           2          -2          60  7.74194456888264992E-002   3.7416409351793205       -1.8466101956828456        7.5705283153412779     
           2          -2          61  1.71409696568644125E-002   3.3708205271943052       -2.9878780605869384        7.5705283153412779     
           2          -2          62 -5.27504572500878607E-002   3.0000001192092900       -4.1291459254910308        7.5705283153412779     
           2          -2          63 -9.72125748532993994E-002   1.8000000715255740       -4.1291459254910308        7.5705283153412779     
           2          -2          64 -0.12201415435934908       0.60000002384185802       -4.1291459254910308        7.5705283153412779     
           2          -2          65 -0.12201415435934911      -0.60000002384185824       -4.1291459254910308        7.5705283153412779     
           2          -2          66 -9.72125748532993161E-002  -1.8000000715255742       -4.1291459254910308        7.5705283153412779     
           2          -2          67 -5.27504572500878607E-002  -3.0000001192092900       -4.1291459254910308        7.5705283153412779     
           2          -2          68  1.71409696568644819E-002  -3.3708205271943052       -2.9878780605869384        7.5705283153412779     
           2          -2          69  7.74194456888264992E-002  -3.7416409351793205       -1.8466101956828456        7.5705283153412779     
           2          -2          70  0.12000360317317650       -4.1124613431643358      -0.70534233077875275        7.5705283153412779     
           2          -2          71  0.14015228058966739       -4.4832817511493506       0.43592553412534008        7.5705283153412779     
           2          -2          72  0.13810249000282848       -4.8541021591343663        1.5771933990294329        7.5705283153412779     
           2          -2          73  6.94779033483621383E-002  -3.8832817273074931        2.2825357298081856        7.5705283153412779     
           2          -2          74 -3.25314015534879314E-003  -2.9124612954806199        2.9878780605869384        7.5705283153412779     
           2          -2          75 -7.21557543473052426E-002  -1.9416408636537463        3.6932203913656911        7.5705283153412779     
           2          -2          76 -0.12955857874159457      -0.97082043182687305        4.3985627221444439        7.5705283153412779     
           2          -2          77 -0.23919213180759849       7.98716080604552755E-017   6.1246860635078360        6.9396509557295012     
           2          -2          78 -0.19789370424775166       0.97082043182687339        5.4193437327290832        6.9396509557295012     
           2          -2          79 -0.13593650483052314        1.9416408636537466        4.7140014019503305        6.9396509557295012     
           2          -2          80 -5.70005029801109037E-002   2.9124612954806199        4.0086590711715777        6.9396509557295012     
           2          -2          81  3.07058819400747307E-002   3.8832817273074931        3.3033167403928245        6.9396509557295012     
           2          -2          82  0.11704290394764365        4.8541021591343663        2.5979744096140718        6.9396509557295012     
           2          -2          83  0.19351049955311961        5.8249225909612399        1.8926320788353195        6.9396509557295012     
           2          -2          84  0.20315583568483800        5.4541021829762251       0.75136421393122665        6.9396509557295012     
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           2          -2          86  0.14922925417777008        4.7124613670061937       -1.5311715158769590        6.9396509557295012     
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           2          -2          90 -0.13081934290320485        2.4000000953674325       -4.9549751105892375        6.9396509557295012     
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           2          -2          98  0.14922925417777008       -4.7124613670061937       -1.5311715158769594        6.9396509557295012     
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           2          -2         102  0.11704290394764351       -4.8541021591343663        2.5979744096140722        6.9396509557295012     
           2          -2         103  3.07058819400746440E-002  -3.8832817273074935        3.3033167403928250        6.9396509557295012     
           2          -2         104 -5.70005029801109453E-002  -2.9124612954806199        4.0086590711715786        6.9396509557295012     
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           2          -2         106 -0.19789370424775177      -0.97082043182687350        5.4193437327290841        6.9396509557295012     
           2          -2         107 -0.30697798084045136       7.98716080604552755E-017   7.1454670740924753        6.3087735961177280     
           2          -2         108 -0.26930708218327215       0.97082043182687339        6.4401247433137225        6.3087735961177280     
           2          -2         109 -0.20803858813154277        1.9416408636537466        5.7347824125349698        6.3087735961177280     
           2          -2         110 -0.12482506897392354        2.9124612954806199        5.0294400817562170        6.3087735961177280     
           2          -2         111 -2.68610327098074558E-002   3.8832817273074931        4.3240977509774652        6.3087735961177280     
           2          -2         112  7.47833152332885581E-002   4.8541021591343663        3.6187554201987115        6.3087735961177280     
           2          -2         113  0.16903982003477205        5.8249225909612399        2.9134130894199592        6.3087735961177280     
           2          -2         114  0.24835040339883216        6.7957430227881135        2.2080707586412061        6.3087735961177280     
           2          -2         115  0.26670819234882354        6.4249226148030978        1.0668028937371132        6.3087735961177280     
           2          -2         116  0.26183019133508806        6.0541022068180830      -7.44649711669795600E-002   6.3087735961177280     
           2          -2         117  0.22883223695766569        5.6832817988330673       -1.2157328360710724        6.3087735961177280     
           2          -2         118  0.16828713287131469        5.3124613908480525       -2.3570007009751652        6.3087735961177280     
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           2          -2         122 -0.16223583811516892        3.0000001192092904       -5.7808042956874433        6.3087735961177280     
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           2          -2         126 -0.21561156072951787       -1.8000000715255737       -5.7808042956874433        6.3087735961177280     
           2          -2         127 -0.16223583811516906       -3.0000001192092904       -5.7808042956874433        6.3087735961177280     
           2          -2         128 -9.48614129786063826E-002  -4.2000001668930063       -5.7808042956874433        6.3087735961177280     
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           2          -2         137  7.47833152332884332E-002  -4.8541021591343672        3.6187554201987111        6.3087735961177280     
           2          -2         138 -2.68610327098074558E-002  -3.8832817273074935        4.3240977509774643        6.3087735961177280     
           2          -2         139 -0.12482506897392359       -2.9124612954806204        5.0294400817562170        6.3087735961177280     
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           2          -2         144 -0.28012635086833099        1.9416408636537466        6.7555634231196091        5.6778962365059549     
           2          -2         145 -0.19867454630187997        2.9124612954806199        6.0502210923408573        5.6778962365059549     
           2          -2         146 -9.70937317912970582E-002   3.8832817273074931        5.3448787615621036        5.6778962365059549     
           2          -2         147  1.43905561726206180E-002   4.8541021591343663        4.6395364307833518        5.6778962365059549     
           2          -2         148  0.12345675924923215        5.8249225909612399        3.9341941000045986        5.6778962365059549     
           2          -2         149  0.21985126408788197        6.7957430227881126        3.2288517692258458        5.6778962365059549     
           2          -2         150  0.29792197474761389        7.7665634546149862        2.5235094384470931        5.6778962365059549     
           2          -2         151  0.32455963670805371        7.3957430466299705        1.3822415735430003        5.6778962365059549     
           2          -2         152  0.32979719760020604        7.0249226386449557       0.24097370863890746        5.6778962365059549     
           2          -2         153  0.30707161244328574        6.6541022306599409      -0.90029415626518539        5.6778962365059549     
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           2          -2         157 -1.92623772259865565E-002   5.1708205987198799       -5.4653656158815567        5.6778962365059549     
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           2          -2         162 -0.31420191626576977       7.98716080604552755E-017  -6.6066334807856499        5.6778962365059549     
           2          -2         163 -0.29817775961159149       -1.2000000476837158       -6.6066334807856499        5.6778962365059549     
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           2          -2         165 -0.18868408303211323       -3.6000001430511483       -6.6066334807856499        5.6778962365059549     
           2          -2         166 -0.11379606835810055       -4.8000001907348642       -6.6066334807856499        5.6778962365059549     
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           2          -2         168  8.03691182621607825E-002  -5.5416410067048947       -4.3240977509774643        5.6778962365059549     
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           2          -2         170  0.25419468992418198       -6.2832818226749252       -2.0415620211692791        5.6778962365059549     
           2          -2         171  0.30707161244328568       -6.6541022306599409      -0.90029415626518672        5.6778962365059549     
           2          -2         172  0.32979719760020604       -7.0249226386449557       0.24097370863890658        5.6778962365059549     
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           2          -2         180 -0.28012635086833110       -1.9416408636537463        6.7555634231196091        5.6778962365059549     
           2          -2         181 -0.33646444053783553      -0.97082043182687350        7.4609057538983619        5.6778962365059549     
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           2          -2         183 -0.39432667453373627       0.97082043182687339        8.4816867644830012        5.0470188768941817     
           2          -2         184 -0.34525978226597964        1.9416408636537466        7.7763444337042475        5.0470188768941817     
           2          -2         185 -0.27014194235139810        2.9124612954806199        7.0710021029254957        5.0470188768941817     
           2          -2         186 -0.17142595125394150        3.8832817273074931        6.3656597721467421        5.0470188768941817     
           2          -2         187 -5.71170755467004382E-002   4.8541021591343663        5.6603174413679902        5.0470188768941817     
           2          -2         188  6.10207434658269904E-002   5.8249225909612399        4.9549751105892375        5.0470188768941817     
           2          -2         189  0.17124135616691932        6.7957430227881126        4.2496327798104847        5.0470188768941817     
           2          -2         190  0.26525330878571429        7.7665634546149862        3.5442904490317315        5.0470188768941817     
           2          -2         191  0.33948764799255354        8.7373838864418598        2.8389481182529792        5.0470188768941817     
           2          -2         192  0.37278065328058863        8.3665634784568450        1.6976802533488866        5.0470188768941817     
           2          -2         193  0.38740070648782382        7.9957430704718293       0.55641238844479401        5.0470188768941817     
           2          -2         194  0.37607810104564987        7.6249226624868136      -0.58485547645929881        5.0470188768941817     
           2          -2         195  0.33449009122936046        7.2541022545017988       -1.7261233413633912        5.0470188768941817     
           2          -2         196  0.26384332082649836        6.8832818465167831       -2.8673912062674836        5.0470188768941817     
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           2          -2         201 -0.20884509282264591        4.2000001668930063       -7.4324626658838548        5.0470188768941817     
           2          -2         202 -0.28156772809704123        3.0000001192092900       -7.4324626658838548        5.0470188768941817     
           2          -2         203 -0.33836520756498051        1.8000000715255737       -7.4324626658838548        5.0470188768941817     
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           2          -2         206 -0.33836520756498040       -1.8000000715255746       -7.4324626658838548        5.0470188768941817     
           2          -2         207 -0.28156772809704128       -3.0000001192092904       -7.4324626658838548        5.0470188768941817     
           2          -2         208 -0.20884509282264582       -4.2000001668930063       -7.4324626658838548        5.0470188768941817     
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           2          -2         529 -0.52115568549449220        1.9416408636537468        13.901030497212085        1.2617547192235428     
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           2          -2         533 -0.30657624566679592        5.8249225909612399        11.079661174097076        1.2617547192235428     
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           2          -2         539  0.26343602186042919        11.649845181922480        6.8476071894245596        1.2617547192235428     
           2          -2         540  0.33434784679314111        12.620665613749354        6.1422648586458060        1.2617547192235428     
           2          -2         541  0.39264510153454596        13.591486045576227        5.4369225278670541        1.2617547192235428     
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           2          -2         543  0.47700906254201414        14.191486069418087        3.5903123321842068        1.2617547192235428     
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           2          -2         545  0.53140865618937794        13.449845253448055        1.3077766023760211        1.2617547192235428     
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           2          -2         552  0.24367938276822382        10.854102397552946       -6.6810984519526304        1.2617547192235428     
           2          -2         553  0.15409312952039653        10.483281989567931       -7.8223663168567228        1.2617547192235428     
           2          -2         554  6.49925895805136267E-002   10.112461581582917       -8.9636341817608152        1.2617547192235428     
           2          -2         555 -1.98304946821525677E-002   9.7416411735979018       -10.104902046664909        1.2617547192235428     
           2          -2         556 -9.78372879418570596E-002   9.3708207656128852       -11.246169911569002        1.2617547192235428     
           2          -2         557 -0.16766945552623344        9.0000003576278704       -12.387437776473094        1.2617547192235428     
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           2          -2         569 -0.36859624081857195       -5.4000002145767230       -12.387437776473094        1.2617547192235428     
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           2          -2         572 -0.16766945552623344       -9.0000003576278704       -12.387437776473094        1.2617547192235428     
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           2          -2         574 -1.98304946821520715E-002  -9.7416411735979018       -10.104902046664908        1.2617547192235428     
           2          -2         575  6.49925895805137516E-002  -10.112461581582917       -8.9636341817608152        1.2617547192235428     
           2          -2         576  0.15409312952039667       -10.483281989567931       -7.8223663168567219        1.2617547192235428     
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           2          -2         580  0.46608414620606553       -11.966563621507994       -3.2572948572403502        1.2617547192235428     
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           2          -2         584  0.53140865618937794       -13.449845253448055        1.3077766023760211        1.2617547192235428     
           2          -2         585  0.50889976576719775       -13.820665661433072        2.4490444672801153        1.2617547192235428     
           2          -2         586  0.47700906254201403       -14.191486069418087        3.5903123321842076        1.2617547192235428     
           2          -2         587  0.43896433344286845       -14.562306477403101        4.7315801970883005        1.2617547192235428     
           2          -2         588  0.39264510153454601       -13.591486045576229        5.4369225278670532        1.2617547192235428     
           2          -2         589  0.33434784679314111       -12.620665613749354        6.1422648586458060        1.2617547192235428     
           2          -2         590  0.26343602186042908       -11.649845181922482        6.8476071894245578        1.2617547192235428     
           2          -2         591  0.18030184638610092       -10.679024750095607        7.5529495202033115        1.2617547192235428     
           2          -2         592  8.67489884383721849E-002  -9.7082043182687343        8.2582918509820633        1.2617547192235428     
           2          -2         593 -1.38219814133504048E-002  -8.7373838864418616        8.9636341817608169        1.2617547192235428     
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           2          -2         699  0.44194512376333472        16.503947341056847        5.3624575567000727      -3.55271367880050093E-015
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           2          -2         702  0.52921165522656721        15.391486117101801        1.9386539619877938      -3.55271367880050093E-015
           2          -2         703  0.54320393883445750        15.020665709116786       0.79738609708370101      -3.55271367880050093E-015
           2          -2         704  0.54567255176127871        14.649845301131771      -0.34388176782039137      -3.55271367880050093E-015
           2          -2         705  0.53458161530405368        14.279024893146754       -1.4851496327244846      -3.55271367880050093E-015
           2          -2         706  0.50865508537925896        13.908204485161740       -2.6264174976285779      -3.55271367880050093E-015
           2          -2         707  0.46772910875889750        13.537384077176725       -3.7676853625326703      -3.55271367880050093E-015
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           2          -2         710  0.27211155593868347        12.424922853221679       -7.1914889572449487      -3.55271367880050093E-015
           2          -2         711  0.19299929656826931        12.054102445236662       -8.3327568221490402      -3.55271367880050093E-015
           2          -2         712  0.11285397478218590        11.683282037251647       -9.4740246870531344      -3.55271367880050093E-015
           2          -2         713  3.47013102682496577E-002   11.312461629266632       -10.615292551957229      -3.55271367880050093E-015
           2          -2         714 -3.91745809171908030E-002   10.941641221281618       -11.756560416861319      -3.55271367880050093E-015
           2          -2         715 -0.10727572878002720        10.570820813296603       -12.897828281765413      -3.55271367880050093E-015
           2          -2         716 -0.16880801611531487        10.200000405311586       -14.039096146669506      -3.55271367880050093E-015
           2          -2         717 -0.22805188323167186        9.0000003576278704       -14.039096146669506      -3.55271367880050093E-015
           2          -2         718 -0.28857232916614600        7.8000003099441546       -14.039096146669506      -3.55271367880050093E-015
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           2          -2         737  0.11285397478218616       -11.683282037251647       -9.4740246870531344      -3.55271367880050093E-015
           2          -2         738  0.19299929656826925       -12.054102445236662       -8.3327568221490420      -3.55271367880050093E-015
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           2          -2         750  0.44194512376333472       -16.503947341056847        5.3624575567000727      -3.55271367880050093E-015
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           2          -2         756  5.82780520800424140E-002  -10.679024750095607        9.5945115413725883      -3.55271367880050093E-015
           2          -2         757 -3.22790472828670752E-002  -9.7082043182687343        10.299853872151342      -3.55271367880050093E-015
           2          -2         758 -0.12386565390263186       -8.7373838864418598        11.005196202930094      -3.55271367880050093E-015
           2          -2         759 -0.21251930259013693       -7.7665634546149871        11.710538533708846      -3.55271367880050093E-015
           2          -2         760 -0.29441658296958506       -6.7957430227881126        12.415880864487599      -3.55271367880050093E-015
           2          -2         761 -0.36640742500232915       -5.8249225909612399        13.121223195266353      -3.55271367880050093E-015
           2          -2         762 -0.42639242667726757       -4.8541021591343672        13.826565526045105      -3.55271367880050093E-015
           2          -2         763 -0.47345634665354319       -3.8832817273074927        14.531907856823857      -3.55271367880050093E-015
           2          -2         764 -0.50776506602663329       -2.9124612954806199        15.237250187602609      -3.55271367880050093E-015
           2          -2         765 -0.53030564022259530       -1.9416408636537454        15.942592518381364      -3.55271367880050093E-015
           2          -2         766 -0.54257147360126712      -0.97082043182687261        16.647934849160116      -3.55271367880050093E-015
           2          -2         767 -0.54119522124836095      -0.97082043182687261        15.627153838575477      -0.63087735961177671     
           2          -2         768 -0.52715714761303911       -1.9416408636537472        14.921811507796724      -0.63087735961177671     
           2          -2         769 -0.50131967976455016       -2.9124612954806199        14.216469177017972      -0.63087735961177671     
           2          -2         770 -0.46197866080769989       -3.8832817273074927        13.511126846239218      -0.63087735961177671     
           2          -2         771 -0.40814918399459565       -4.8541021591343672        12.805784515460466      -0.63087735961177671     
           2          -2         772 -0.33998038321348251       -5.8249225909612399        12.100442184681715      -0.63087735961177671     
           2          -2         773 -0.25905504794441769       -6.7957430227881126        11.395099853902961      -0.63087735961177671     
           2          -2         774 -0.16842406704939733       -7.7665634546149862        10.689757523124207      -0.63087735961177671     
           2          -2         775 -7.22881430120101282E-002  -8.7373838864418598        9.9844151923454554      -0.63087735961177671     
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           2          -2         778  0.20360236774878371       -11.649845181922480        7.8683882000091980      -0.63087735961177671     
           2          -2         779  0.27955231850051804       -12.620665613749352        7.1630458692304444      -0.63087735961177671     
           2          -2         780  0.34445293859413423       -13.591486045576225        6.4577035384516925      -0.63087735961177671     
           2          -2         781  0.39815893218412640       -14.562306477403100        5.7523612076729398      -0.63087735961177671     
           2          -2         782  0.44128669985489227       -15.533126909229972        5.0470188768941870      -0.63087735961177671     
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           2          -2         793  0.21753056186180003       -11.454102421394804       -7.5069276370508362      -0.63087735961177671     
           2          -2         794  0.13254310960021209       -11.083282013409789       -8.6481955019549286      -0.63087735961177671     
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           2          -2         798 -0.16855652056129541       -9.6000003814697283       -13.213266961571300      -0.63087735961177671     
           2          -2         799 -0.23143757733058623       -8.4000003337860125       -13.213266961571300      -0.63087735961177671     
           2          -2         800 -0.29562162008025228       -7.2000002861022967       -13.213266961571300      -0.63087735961177671     
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           2          -2         802 -0.41806162405652908       -4.8000001907348651       -13.213266961571300      -0.63087735961177671     
           2          -2         803 -0.46978063005099446       -3.6000001430511475       -13.213266961571300      -0.63087735961177671     
           2          -2         804 -0.51025453871907112       -2.4000000953674316       -13.213266961571300      -0.63087735961177671     
           2          -2         805 -0.53612454490834671       -1.2000000476837158       -13.213266961571300      -0.63087735961177671     
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           2          -2         807 -0.53612454490834671        1.2000000476837158       -13.213266961571300      -0.63087735961177671     
           2          -2         808 -0.51025453871907123        2.4000000953674316       -13.213266961571300      -0.63087735961177671     
           2          -2         809 -0.46978063005099457        3.6000001430511483       -13.213266961571300      -0.63087735961177671     
           2          -2         810 -0.41806162405652886        4.8000001907348642       -13.213266961571300      -0.63087735961177671     
           2          -2         811 -0.35882712812058054        6.0000002384185800       -13.213266961571300      -0.63087735961177671     
           2          -2         812 -0.29562162008025256        7.2000002861022967       -13.213266961571300      -0.63087735961177671     
           2          -2         813 -0.23143757733058637        8.4000003337860125       -13.213266961571300      -0.63087735961177671     
           2          -2         814 -0.16855652056129541        9.6000003814697283       -13.213266961571300      -0.63087735961177671     
           2          -2         815 -0.10303946394991974        9.9708207894547431       -12.071999096667204      -0.63087735961177671     
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           2          -2         818  0.13254310960021173        11.083282013409789       -8.6481955019549268      -0.63087735961177671     
           2          -2         819  0.21753056186179992        11.454102421394804       -7.5069276370508344      -0.63087735961177671     
           2          -2         820  0.30013510638492519        11.824922829379819       -6.3656597721467403      -0.63087735961177671     
           2          -2         821  0.37601972032146325        12.195743237364836       -5.2243919072426479      -0.63087735961177671     
           2          -2         822  0.44093993205881338        12.566563645349850       -4.0831240423385555      -0.63087735961177671     
           2          -2         823  0.49144801554331130        12.937384053334865       -2.9418561774344636      -0.63087735961177671     
           2          -2         824  0.52547408017643149        13.308204461319882       -1.8005883125303703      -0.63087735961177671     
           2          -2         825  0.54259046481704953        13.679024869304897      -0.65932044762627706      -0.63087735961177671     
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           2          -2         828  0.50850524365620819        14.791486093259941        2.7644831470860010      -0.63087735961177671     
           2          -2         829  0.47751333034474092        15.162306501244958        3.9057510119900938      -0.63087735961177671     
           2          -2         830  0.44128669985489227        15.533126909229972        5.0470188768941870      -0.63087735961177671     
           2          -2         831  0.39815893218412640        14.562306477403100        5.7523612076729389      -0.63087735961177671     
           2          -2         832  0.34445293859413428        13.591486045576225        6.4577035384516925      -0.63087735961177671     
           2          -2         833  0.27955231850051793        12.620665613749352        7.1630458692304444      -0.63087735961177671     
           2          -2         834  0.20360236774878407        11.649845181922480        7.8683882000091980      -0.63087735961177671     
           2          -2         835  0.11780878736674077        10.679024750095605        8.5737305307879499      -0.63087735961177671     
           2          -2         836  2.46257353711968989E-002   9.7082043182687325        9.2790728615667035      -0.63087735961177671     
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           2          -2         838 -0.16842406704939722        7.7665634546149862        10.689757523124207      -0.63087735961177671     
           2          -2         839 -0.25905504794441758        6.7957430227881126        11.395099853902961      -0.63087735961177671     
           2          -2         840 -0.33998038321348240        5.8249225909612399        12.100442184681715      -0.63087735961177671     
           2          -2         841 -0.40814918399459577        4.8541021591343663        12.805784515460466      -0.63087735961177671     
           2          -2         842 -0.46197866080769973        3.8832817273074931        13.511126846239218      -0.63087735961177671     
           2          -2         843 -0.50131967976455005        2.9124612954806199        14.216469177017972      -0.63087735961177671     
           2          -2         844 -0.52715714761303900        1.9416408636537466        14.921811507796724      -0.63087735961177671     
           2          -2         845 -0.54119522124836095       0.97082043182687339        15.627153838575477      -0.63087735961177671     
           2          -2         846 -0.54546035858719344       7.98716080604552755E-017   16.332496169354229      -0.63087735961177671     
           2          -2         847 -0.53747583185719183      -0.97082043182687439        14.606372827990837       -1.2617547192235499     
           2          -2         848 -0.52115568549449209       -1.9416408636537472        13.901030497212085       -1.2617547192235499     
           2          -2         849 -0.49124102681174819       -2.9124612954806217        13.195688166433332       -1.2617547192235499     
           2          -2         850 -0.44582764520747042       -3.8832817273074944        12.490345835654580       -1.2617547192235499     
           2          -2         851 -0.38404219455118221       -4.8541021591343672        11.785003504875828       -1.2617547192235499     
           2          -2         852 -0.30657624566679564       -5.8249225909612417        11.079661174097074       -1.2617547192235499     
           2          -2         853 -0.21599315235705829       -6.7957430227881144        10.374318843318321       -1.2617547192235499     
           2          -2         854 -0.11659988435511098       -7.7665634546149880        9.6689765125395688       -1.2617547192235499     
           2          -2         855 -1.38219814133504048E-002  -8.7373838864418616        8.9636341817608169       -1.2617547192235499     
           2          -2         856  8.67489884383721849E-002  -9.7082043182687343        8.2582918509820633       -1.2617547192235499     
           2          -2         857  0.18030184638610092       -10.679024750095607        7.5529495202033115       -1.2617547192235499     
           2          -2         858  0.26343602186042903       -11.649845181922482        6.8476071894245578       -1.2617547192235499     
           2          -2         859  0.33434784679314100       -12.620665613749354        6.1422648586458060       -1.2617547192235499     
           2          -2         860  0.39264510153454596       -13.591486045576229        5.4369225278670532       -1.2617547192235499     
           2          -2         861  0.43896433344286828       -14.562306477403101        4.7315801970883005       -1.2617547192235499     
           2          -2         862  0.47700906254201386       -14.191486069418087        3.5903123321842076       -1.2617547192235499     
           2          -2         863  0.50889976576719753       -13.820665661433072        2.4490444672801153       -1.2617547192235499     
           2          -2         864  0.53140865618937783       -13.449845253448055        1.3077766023760211       -1.2617547192235499     
           2          -2         865  0.54106243668391518       -13.079024845463040       0.16650873747192876       -1.2617547192235499     
           2          -2         866  0.53464433545953993       -12.708204437478024      -0.97475912743216364       -1.2617547192235499     
           2          -2         867  0.50987276704556339       -12.337384029493009       -2.1160269923362578       -1.2617547192235499     
           2          -2         868  0.46608414620606553       -11.966563621507994       -3.2572948572403502       -1.2617547192235499     
           2          -2         869  0.40465572832793484       -11.595743213522979       -4.3985627221444430       -1.2617547192235499     
           2          -2         870  0.32894068138546584       -11.224922805537963       -5.5398305870485363       -1.2617547192235499     
           2          -2         871  0.24367938276822415       -10.854102397552948       -6.6810984519526286       -1.2617547192235499     
           2          -2         872  0.15409312952039667       -10.483281989567931       -7.8223663168567219       -1.2617547192235499     
           2          -2         873  6.49925895805137377E-002  -10.112461581582917       -8.9636341817608152       -1.2617547192235499     
           2          -2         874 -1.98304946821520646E-002  -9.7416411735979018       -10.104902046664908       -1.2617547192235499     
           2          -2         875 -9.78372879418568930E-002  -9.3708207656128852       -11.246169911569002       -1.2617547192235499     
           2          -2         876 -0.16766945552623339       -9.0000003576278704       -12.387437776473094       -1.2617547192235499     
           2          -2         877 -0.23434104427751085       -7.8000003099441546       -12.387437776473094       -1.2617547192235499     
           2          -2         878 -0.30226143238369335       -6.6000002622604388       -12.387437776473094       -1.2617547192235499     
           2          -2         879 -0.36859624081857184       -5.4000002145767230       -12.387437776473094       -1.2617547192235499     
           2          -2         880 -0.42962976738294195       -4.2000001668930054       -12.387437776473094       -1.2617547192235499     
           2          -2         881 -0.48103051211495435       -3.0000001192092896       -12.387437776473094       -1.2617547192235499     
           2          -2         882 -0.51841522135088303       -1.8000000715255737       -12.387437776473094       -1.2617547192235499     
           2          -2         883 -0.53814683782183115      -0.60000002384185780       -12.387437776473094       -1.2617547192235499     
           2          -2         884 -0.53814683782183115       0.60000002384185802       -12.387437776473094       -1.2617547192235499     
           2          -2         885 -0.51841522135088292        1.8000000715255737       -12.387437776473094       -1.2617547192235499     
           2          -2         886 -0.48103051211495401        3.0000001192092904       -12.387437776473094       -1.2617547192235499     
           2          -2         887 -0.42962976738294228        4.2000001668930063       -12.387437776473094       -1.2617547192235499     
           2          -2         888 -0.36859624081857212        5.4000002145767221       -12.387437776473094       -1.2617547192235499     
           2          -2         889 -0.30226143238369391        6.6000002622604388       -12.387437776473094       -1.2617547192235499     
           2          -2         890 -0.23434104427751098        7.8000003099441546       -12.387437776473094       -1.2617547192235499     
           2          -2         891 -0.16766945552623339        9.0000003576278704       -12.387437776473094       -1.2617547192235499     
           2          -2         892 -9.78372879418570318E-002   9.3708207656128852       -11.246169911569002       -1.2617547192235499     
           2          -2         893 -1.98304946821525607E-002   9.7416411735979018       -10.104902046664909       -1.2617547192235499     
           2          -2         894  6.49925895805135989E-002   10.112461581582917       -8.9636341817608152       -1.2617547192235499     
           2          -2         895  0.15409312952039653        10.483281989567931       -7.8223663168567228       -1.2617547192235499     
           2          -2         896  0.24367938276822382        10.854102397552946       -6.6810984519526304       -1.2617547192235499     
           2          -2         897  0.32894068138546551        11.224922805537963       -5.5398305870485363       -1.2617547192235499     
           2          -2         898  0.40465572832793478        11.595743213522978       -4.3985627221444439       -1.2617547192235499     
           2          -2         899  0.46608414620606553        11.966563621507994       -3.2572948572403511       -1.2617547192235499     
           2          -2         900  0.50987276704556339        12.337384029493009       -2.1160269923362578       -1.2617547192235499     
           2          -2         901  0.53464433545953993        12.708204437478024      -0.97475912743216542       -1.2617547192235499     
           2          -2         902  0.54106243668391518        13.079024845463040       0.16650873747192788       -1.2617547192235499     
           2          -2         903  0.53140865618937783        13.449845253448055        1.3077766023760211       -1.2617547192235499     
           2          -2         904  0.50889976576719764        13.820665661433070        2.4490444672801139       -1.2617547192235499     
           2          -2         905  0.47700906254201397        14.191486069418087        3.5903123321842068       -1.2617547192235499     
           2          -2         906  0.43896433344286839        14.562306477403101        4.7315801970883005       -1.2617547192235499     
           2          -2         907  0.39264510153454585        13.591486045576227        5.4369225278670541       -1.2617547192235499     
           2          -2         908  0.33434784679314100        12.620665613749354        6.1422648586458060       -1.2617547192235499     
           2          -2         909  0.26343602186042914        11.649845181922480        6.8476071894245596       -1.2617547192235499     
           2          -2         910  0.18030184638610094        10.679024750095607        7.5529495202033115       -1.2617547192235499     
           2          -2         911  8.67489884383723098E-002   9.7082043182687343        8.2582918509820651       -1.2617547192235499     
           2          -2         912 -1.38219814133501515E-002   8.7373838864418598        8.9636341817608169       -1.2617547192235499     
           2          -2         913 -0.11659988435511097        7.7665634546149871        9.6689765125395688       -1.2617547192235499     
           2          -2         914 -0.21599315235705824        6.7957430227881135        10.374318843318322       -1.2617547192235499     
           2          -2         915 -0.30657624566679592        5.8249225909612399        11.079661174097076       -1.2617547192235499     
           2          -2         916 -0.38404219455118216        4.8541021591343672        11.785003504875828       -1.2617547192235499     
           2          -2         917 -0.44582764520747031        3.8832817273074935        12.490345835654580       -1.2617547192235499     
           2          -2         918 -0.49124102681174819        2.9124612954806199        13.195688166433333       -1.2617547192235499     
           2          -2         919 -0.52115568549449198        1.9416408636537468        13.901030497212085       -1.2617547192235499     
           2          -2         920 -0.53747583185719183       0.97082043182687350        14.606372827990839       -1.2617547192235499     
           2          -2         921 -0.54258975583326963       7.98716080604552755E-017   15.311715158769591       -1.2617547192235499     
           2          -2         922 -0.53048036919638930      -0.97082043182687439        13.585591817406197       -1.8926320788353230     
           2          -2         923 -0.51120605432303245       -1.9416408636537472        12.880249486627445       -1.8926320788353230     
           2          -2         924 -0.47625080937964820       -2.9124612954806217        12.174907155848693       -1.8926320788353230     
           2          -2         925 -0.42356646559525823       -3.8832817273074944        11.469564825069940       -1.8926320788353230     
           2          -2         926 -0.35258709322883530       -4.8541021591343672        10.764222494291186       -1.8926320788353230     
           2          -2         927 -0.26488515385976286       -5.8249225909612408        10.058880163512434       -1.8926320788353230     
           2          -2         928 -0.16440242598759383       -6.7957430227881144        9.3535378327336822       -1.8926320788353230     
           2          -2         929 -5.70004794762487763E-002  -7.7665634546149871        8.6481955019549286       -1.8926320788353230     
           2          -2         930  5.06230782955340713E-002  -8.7373838864418616        7.9428531711761767       -1.8926320788353230     
           2          -2         931  0.15225879392543987       -9.7082043182687343        7.2375108403974231       -1.8926320788353230     
           2          -2         932  0.24323524728145413       -10.679024750095607        6.5321685096186712       -1.8926320788353230     
           2          -2         933  0.32087600044860187       -11.649845181922480        5.8268261788399185       -1.8926320788353230     
           2          -2         934  0.38437550158668105       -12.620665613749354        5.1214838480611657       -1.8926320788353230     
           2          -2         935  0.43432734542968371       -13.591486045576227        4.4161415172824130       -1.8926320788353230     
           2          -2         936  0.47395976613766949       -13.220665637591210        3.2748736523783193       -1.8926320788353230     
           2          -2         937  0.50627277070078947       -12.849845229606196        2.1336057874742269       -1.8926320788353230     
           2          -2         938  0.52735474946446337       -12.479024821621181       0.99233792257013453       -1.8926320788353230     
           2          -2         939  0.53308614390235065       -12.108204413636166      -0.14892994233395959       -1.8926320788353230     
           2          -2         940  0.51987482254324913       -11.737384005651151       -1.2901978072380520       -1.8926320788353230     
           2          -2         941  0.48559366153659023       -11.366563597666135       -2.4314656721421444       -1.8926320788353230     
           2          -2         942  0.43041113906845940       -10.995743189681120       -3.5727335370462368       -1.8926320788353230     
           2          -2         943  0.35711386702737402       -10.624922781696105       -4.7140014019503296       -1.8926320788353230     
           2          -2         944  0.27067723193151400       -10.254102373711088       -5.8552692668544228       -1.8926320788353230     
           2          -2         945  0.17720656193783041       -9.8832819657260735       -6.9965371317585152       -1.8926320788353230     
           2          -2         946  8.26879120162697379E-002  -9.5124615577410587       -8.1378049966626076       -1.8926320788353230     
           2          -2         947 -7.98222057693142792E-003  -9.1416411497560439       -9.2790728615667000       -1.8926320788353230     
           2          -2         948 -9.14522568136497682E-002  -8.7708207417710273       -10.420340726470794       -1.8926320788353230     
           2          -2         949 -0.16589828371062271       -8.4000003337860125       -11.561608591374887       -1.8926320788353230     
           2          -2         950 -0.23640264171431130       -7.2000002861022967       -11.561608591374887       -1.8926320788353230     
           2          -2         951 -0.30796049624942734       -6.0000002384185809       -11.561608591374887       -1.8926320788353230     
           2          -2         952 -0.37702709938253914       -4.8000001907348633       -11.561608591374887       -1.8926320788353230     
           2          -2         953 -0.43898503417036261       -3.6000001430511475       -11.561608591374887       -1.8926320788353230     
           2          -2         954 -0.48858803954146163       -2.4000000953674316       -11.561608591374887       -1.8926320788353230     
           2          -2         955 -0.52082189522795264       -1.2000000476837158       -11.561608591374887       -1.8926320788353230     
           2          -2         956 -0.53201742616173120       7.98716080604552755E-017  -11.561608591374887       -1.8926320788353230     
           2          -2         957 -0.52082189522795264        1.2000000476837158       -11.561608591374887       -1.8926320788353230     
           2          -2         958 -0.48858803954146190        2.4000000953674325       -11.561608591374887       -1.8926320788353230     
           2          -2         959 -0.43898503417036261        3.6000001430511483       -11.561608591374887       -1.8926320788353230     
           2          -2         960 -0.37702709938253892        4.8000001907348642       -11.561608591374887       -1.8926320788353230     
           2          -2         961 -0.30796049624942706        6.0000002384185809       -11.561608591374887       -1.8926320788353230     
           2          -2         962 -0.23640264171431116        7.2000002861022967       -11.561608591374887       -1.8926320788353230     
           2          -2         963 -0.16589828371062271        8.4000003337860125       -11.561608591374887       -1.8926320788353230     
           2          -2         964 -9.14522568136496433E-002   8.7708207417710291       -10.420340726470794       -1.8926320788353230     
           2          -2         965 -7.98222057693167945E-003   9.1416411497560439       -9.2790728615667000       -1.8926320788353230     
           2          -2         966  8.26879120162694048E-002   9.5124615577410587       -8.1378049966626094       -1.8926320788353230     
           2          -2         967  0.17720656193783027        9.8832819657260735       -6.9965371317585143       -1.8926320788353230     
           2          -2         968  0.27067723193151400        10.254102373711088       -5.8552692668544220       -1.8926320788353230     
           2          -2         969  0.35711386702737397        10.624922781696105       -4.7140014019503296       -1.8926320788353230     
           2          -2         970  0.43041113906845946        10.995743189681120       -3.5727335370462376       -1.8926320788353230     
           2          -2         971  0.48559366153659023        11.366563597666135       -2.4314656721421444       -1.8926320788353230     
           2          -2         972  0.51987482254324913        11.737384005651151       -1.2901978072380511       -1.8926320788353230     
           2          -2         973  0.53308614390235065        12.108204413636166      -0.14892994233395870       -1.8926320788353230     
           2          -2         974  0.52735474946446337        12.479024821621181       0.99233792257013409       -1.8926320788353230     
           2          -2         975  0.50627277070078969        12.849845229606196        2.1336057874742269       -1.8926320788353230     
           2          -2         976  0.47395976613766960        13.220665637591212        3.2748736523783197       -1.8926320788353230     
           2          -2         977  0.43432734542968371        13.591486045576227        4.4161415172824130       -1.8926320788353230     
           2          -2         978  0.38437550158668105        12.620665613749352        5.1214838480611657       -1.8926320788353230     
           2          -2         979  0.32087600044860182        11.649845181922480        5.8268261788399194       -1.8926320788353230     
           2          -2         980  0.24323524728145443        10.679024750095605        6.5321685096186712       -1.8926320788353230     
           2          -2         981  0.15225879392543998        9.7082043182687325        7.2375108403974240       -1.8926320788353230     
           2          -2         982  5.06230782955341962E-002   8.7373838864418598        7.9428531711761767       -1.8926320788353230     
           2          -2         983 -5.70004794762487693E-002   7.7665634546149862        8.6481955019549304       -1.8926320788353230     
           2          -2         984 -0.16440242598759380        6.7957430227881126        9.3535378327336822       -1.8926320788353230     
           2          -2         985 -0.26488515385976269        5.8249225909612399        10.058880163512434       -1.8926320788353230     
           2          -2         986 -0.35258709322883541        4.8541021591343663        10.764222494291188       -1.8926320788353230     
           2          -2         987 -0.42356646559525823        3.8832817273074931        11.469564825069940       -1.8926320788353230     
           2          -2         988 -0.47625080937964820        2.9124612954806199        12.174907155848693       -1.8926320788353230     
           2          -2         989 -0.51120605432303245        1.9416408636537466        12.880249486627445       -1.8926320788353230     
           2          -2         990 -0.53048036919638930       0.97082043182687339        13.585591817406199       -1.8926320788353230     
           2          -2         991 -0.53685812343812167       7.98716080604552755E-017   14.290934148184951       -1.8926320788353230     
           2          -2         992 -0.51898090446913203      -0.97082043182687261        12.564810806821558       -2.5235094384470962     
           2          -2         993 -0.49588724284294211       -1.9416408636537472        11.859468476042807       -2.5235094384470962     
           2          -2         994 -0.45474949864959158       -2.9124612954806199        11.154126145264055       -2.5235094384470962     
           2          -2         995 -0.39351467068948703       -3.8832817273074927        10.448783814485301       -2.5235094384470962     
           2          -2         996 -0.31224804946915463       -4.8541021591343663        9.7434414837065475       -2.5235094384470962     
           2          -2         997 -0.21386797802112237       -5.8249225909612399        9.0380991529277956       -2.5235094384470962     
           2          -2         998 -0.10413043717405715       -6.7957430227881126        8.3327568221490438       -2.5235094384470962     
           2          -2         999  9.37131654952910904E-003  -7.7665634546149862        7.6274144913702902       -2.5235094384470962     
           2          -2        1000  0.11888089986859721       -8.7373838864418598        6.9220721605915374       -2.5235094384470962     
           2          -2        1001  0.21809968942214925       -9.7082043182687325        6.2167298298127847       -2.5235094384470962     
           2          -2        1002  0.30311142846860045       -10.679024750095605        5.5113874990340319       -2.5235094384470962     
           2          -2        1003  0.37244197779070898       -11.649845181922480        4.8060451682552792       -2.5235094384470962     
           2          -2        1004  0.42652107146678669       -12.620665613749352        4.1007028374765264       -2.5235094384470962     
           2          -2        1005  0.46728676515250867       -12.249845205764338        2.9594349725724327       -2.5235094384470962     
           2          -2        1006  0.49925098503875243       -11.879024797779323        1.8181671076683403       -2.5235094384470962     
           2          -2        1007  0.51770045575986434       -11.508204389794306       0.67689924276424618       -2.5235094384470962     
           2          -2        1008  0.51783921237871477       -11.137383981809291      -0.46436862213984620       -2.5235094384470962     
           2          -2        1009  0.49585664041242145       -10.766563573824277       -1.6056364870439386       -2.5235094384470962     
           2          -2        1010  0.45017609471744802       -10.395743165839260       -2.7469043519480310       -2.5235094384470962     
           2          -2        1011  0.38235456463213152       -10.024922757854245       -3.8881722168521242       -2.5235094384470962     
           2          -2        1012  0.29708494077268199       -9.6541023498692304       -5.0294400817562170       -2.5235094384470962     
           2          -2        1013  0.20116133408892387       -9.2832819418842156       -6.1707079466603094       -2.5235094384470962     
           2          -2        1014  0.10185678822875822       -8.9124615338991990       -7.3119758115644018       -2.5235094384470962     
           2          -2        1015  5.44264920221338312E-003  -8.5416411259141842       -8.4532436764684959       -2.5235094384470962     
           2          -2        1016 -8.36428744334685725E-002  -8.1708207179291694       -9.5945115413725883       -2.5235094384470962     
           2          -2        1017 -0.16291655238228939       -7.8000003099441537       -10.735779406276681       -2.5235094384470962     
           2          -2        1018 -0.23710496404061690       -6.6000002622604397       -10.735779406276681       -2.5235094384470962     
           2          -2        1019 -0.31191781986662465       -5.4000002145767221       -10.735779406276681       -2.5235094384470962     
           2          -2        1020 -0.38290743476117994       -4.2000001668930063       -10.735779406276681       -2.5235094384470962     
           2          -2        1021 -0.44436677564674865       -3.0000001192092904       -10.735779406276681       -2.5235094384470962     
           2          -2        1022 -0.49006484826547791       -1.8000000715255746       -10.735779406276681       -2.5235094384470962     
           2          -2        1023 -0.51453224415440035      -0.60000002384185869       -10.735779406276681       -2.5235094384470962     
           2          -2        1024 -0.51453224415440046       0.60000002384185713       -10.735779406276681       -2.5235094384470962     
           2          -2        1025 -0.49006484826547791        1.8000000715255737       -10.735779406276681       -2.5235094384470962     
           2          -2        1026 -0.44436677564674865        3.0000001192092896       -10.735779406276681       -2.5235094384470962     
           2          -2        1027 -0.38290743476118022        4.2000001668930054       -10.735779406276681       -2.5235094384470962     
           2          -2        1028 -0.31191781986662459        5.4000002145767212       -10.735779406276681       -2.5235094384470962     
           2          -2        1029 -0.23710496404061682        6.6000002622604379       -10.735779406276681       -2.5235094384470962     
           2          -2        1030 -0.16291655238228939        7.8000003099441537       -10.735779406276681       -2.5235094384470962     
           2          -2        1031 -8.36428744334688223E-002   8.1708207179291676       -9.5945115413725865       -2.5235094384470962     
           2          -2        1032  5.44264920221337184E-003   8.5416411259141842       -8.4532436764684959       -2.5235094384470962     
           2          -2        1033  0.10185678822875845        8.9124615338991990       -7.3119758115644009       -2.5235094384470962     
           2          -2        1034  0.20116133408892395        9.2832819418842156       -6.1707079466603085       -2.5235094384470962     
           2          -2        1035  0.29708494077268183        9.6541023498692304       -5.0294400817562162       -2.5235094384470962     
           2          -2        1036  0.38235456463213141        10.024922757854245       -3.8881722168521242       -2.5235094384470962     
           2          -2        1037  0.45017609471744791        10.395743165839260       -2.7469043519480310       -2.5235094384470962     
           2          -2        1038  0.49585664041242156        10.766563573824277       -1.6056364870439377       -2.5235094384470962     
           2          -2        1039  0.51783921237871477        11.137383981809291      -0.46436862213984531       -2.5235094384470962     
           2          -2        1040  0.51770045575986434        11.508204389794306       0.67689924276424751       -2.5235094384470962     
           2          -2        1041  0.49925098503875237        11.879024797779321        1.8181671076683403       -2.5235094384470962     
           2          -2        1042  0.46728676515250867        12.249845205764338        2.9594349725724332       -2.5235094384470962     
           2          -2        1043  0.42652107146678675        12.620665613749352        4.1007028374765264       -2.5235094384470962     
           2          -2        1044  0.37244197779070931        11.649845181922480        4.8060451682552774       -2.5235094384470962     
           2          -2        1045  0.30311142846860084        10.679024750095605        5.5113874990340301       -2.5235094384470962     
           2          -2        1046  0.21809968942214925        9.7082043182687325        6.2167298298127829       -2.5235094384470962     
           2          -2        1047  0.11888089986859733        8.7373838864418598        6.9220721605915356       -2.5235094384470962     
           2          -2        1048  9.37131654952946466E-003   7.7665634546149862        7.6274144913702884       -2.5235094384470962     
           2          -2        1049 -0.10413043717405648        6.7957430227881126        8.3327568221490402       -2.5235094384470962     
           2          -2        1050 -0.21386797802112226        5.8249225909612399        9.0380991529277939       -2.5235094384470962     
           2          -2        1051 -0.31224804946915469        4.8541021591343663        9.7434414837065475       -2.5235094384470962     
           2          -2        1052 -0.39351467068948703        3.8832817273074931        10.448783814485299       -2.5235094384470962     
           2          -2        1053 -0.45474949864959147        2.9124612954806199        11.154126145264051       -2.5235094384470962     
           2          -2        1054 -0.49588724284294206        1.9416408636537466        11.859468476042805       -2.5235094384470962     
           2          -2        1055 -0.51898090446913203       0.97082043182687339        12.564810806821558       -2.5235094384470962     
           2          -2        1056 -0.52720903816899434       7.98716080604552755E-017   13.270153137600310       -2.5235094384470962     
           2          -2        1057 -0.50142575159219394      -0.97082043182687439        11.544029796236920       -3.1543867980588693     
           2          -2        1058 -0.47344962385011097       -1.9416408636537472        10.838687465458168       -3.1543867980588693     
           2          -2        1059 -0.42487963550948826       -2.9124612954806199        10.133345134679415       -3.1543867980588693     
           2          -2        1060 -0.35393279386404758       -3.8832817273074935        9.4280028039006609       -3.1543867980588693     
           2          -2        1061 -0.26179198140019827       -4.8541021591343672        8.7226604731219091       -3.1543867980588693     
           2          -2        1062 -0.15327816671240352       -5.8249225909612399        8.0173181423431572       -3.1543867980588693     
           2          -2        1063 -3.63005619695991669E-002  -6.7957430227881135        7.3119758115644036       -3.1543867980588693     
           2          -2        1064  7.99477564665908719E-002  -7.7665634546149871        6.6066334807856508       -3.1543867980588693     
           2          -2        1065  0.18725215499505682       -8.7373838864418598        5.9012911500068981       -3.1543867980588693     
           2          -2        1066  0.28001860422482894       -9.7082043182687325        5.1959488192281453       -3.1543867980588693     
           2          -2        1067  0.35573682800063300       -10.679024750095607        4.4906064884493926       -3.1543867980588693     
           2          -2        1068  0.41446076194724635       -11.649845181922480        3.7852641576706394       -3.1543867980588693     
           2          -2        1069  0.45558708090999822       -11.279024773937465        2.6439962927665461       -3.1543867980588693     
           2          -2        1070  0.48603897912550326       -10.908204365952450        1.5027284278624520       -3.1543867980588693     
           2          -2        1071  0.50021753638696187       -10.537383957967434       0.36146056295835960       -3.1543867980588693     
           2          -2        1072  0.49272753373864792       -10.166563549982419      -0.77980730194573278       -3.1543867980588693     
           2          -2        1073  0.45988888585729942       -9.7957431419974039       -1.9210751668498252       -3.1543867980588693     
           2          -2        1074  0.40128745018634504       -9.4249227340123873       -3.0623430317539184       -3.1543867980588693     
           2          -2        1075  0.32052752447773103       -9.0541023260273725       -4.2036108966580112       -3.1543867980588693     
           2          -2        1076  0.22457460657680411       -8.6832819180423577       -5.3448787615621036       -3.1543867980588693     
           2          -2        1077  0.12189928426082330       -8.3124615100573429       -6.4861466264661960       -3.1543867980588693     
           2          -2        1078  2.03700047320327753E-002  -7.9416411020723272       -7.6274144913702893       -3.1543867980588693     
           2          -2        1079 -7.41685271629056175E-002  -7.5708206940873115       -8.7686823562743825       -3.1543867980588693     
           2          -2        1080 -0.15830992406066893       -7.2000002861022967       -9.9099502211784749       -3.1543867980588693     
           2          -2        1081 -0.23572963015553158       -6.0000002384185791       -9.9099502211784749       -3.1543867980588693     
           2          -2        1082 -0.31297796423225388       -4.8000001907348633       -9.9099502211784749       -3.1543867980588693     
           2          -2        1083 -0.38448934013335340       -3.6000001430511475       -9.9099502211784749       -3.1543867980588693     
           2          -2        1084 -0.44331710291799564       -2.4000000953674316       -9.9099502211784749       -3.1543867980588693     
           2          -2        1085 -0.48232386696523333       -1.2000000476837158       -9.9099502211784749       -3.1543867980588693     
           2          -2        1086 -0.49601856694788304       7.98716080604552755E-017  -9.9099502211784749       -3.1543867980588693     
           2          -2        1087 -0.48232386696523344        1.2000000476837167       -9.9099502211784749       -3.1543867980588693     
           2          -2        1088 -0.44331710291799536        2.4000000953674325       -9.9099502211784749       -3.1543867980588693     
           2          -2        1089 -0.38448934013335317        3.6000001430511483       -9.9099502211784749       -3.1543867980588693     
           2          -2        1090 -0.31297796423225377        4.8000001907348651       -9.9099502211784749       -3.1543867980588693     
           2          -2        1091 -0.23572963015553147        6.0000002384185809       -9.9099502211784749       -3.1543867980588693     
           2          -2        1092 -0.15830992406066893        7.2000002861022967       -9.9099502211784749       -3.1543867980588693     
           2          -2        1093 -7.41685271629057424E-002   7.5708206940873115       -8.7686823562743825       -3.1543867980588693     
           2          -2        1094  2.03700047320326538E-002   7.9416411020723272       -7.6274144913702875       -3.1543867980588693     
           2          -2        1095  0.12189928426082308        8.3124615100573429       -6.4861466264661951       -3.1543867980588693     
           2          -2        1096  0.22457460657680403        8.6832819180423577       -5.3448787615621027       -3.1543867980588693     
           2          -2        1097  0.32052752447773086        9.0541023260273725       -4.2036108966580104       -3.1543867980588693     
           2          -2        1098  0.40128745018634493        9.4249227340123873       -3.0623430317539175       -3.1543867980588693     
           2          -2        1099  0.45988888585729953        9.7957431419974039       -1.9210751668498243       -3.1543867980588693     
           2          -2        1100  0.49272753373864792        10.166563549982419      -0.77980730194573189       -3.1543867980588693     
           2          -2        1101  0.50021753638696187        10.537383957967434       0.36146056295836093       -3.1543867980588693     
           2          -2        1102  0.48603897912550326        10.908204365952450        1.5027284278624538       -3.1543867980588693     
           2          -2        1103  0.45558708090999822        11.279024773937465        2.6439962927665466       -3.1543867980588693     
           2          -2        1104  0.41446076194724646        11.649845181922480        3.7852641576706394       -3.1543867980588693     
           2          -2        1105  0.35573682800063311        10.679024750095605        4.4906064884493917       -3.1543867980588693     
           2          -2        1106  0.28001860422482910        9.7082043182687325        5.1959488192281444       -3.1543867980588693     
           2          -2        1107  0.18725215499505682        8.7373838864418598        5.9012911500068972       -3.1543867980588693     
           2          -2        1108  7.99477564665909829E-002   7.7665634546149862        6.6066334807856499       -3.1543867980588693     
           2          -2        1109 -3.63005619695989309E-002   6.7957430227881126        7.3119758115644027       -3.1543867980588693     
           2          -2        1110 -0.15327816671240341        5.8249225909612399        8.0173181423431554       -3.1543867980588693     
           2          -2        1111 -0.26179198140019794        4.8541021591343663        8.7226604731219091       -3.1543867980588693     
           2          -2        1112 -0.35393279386404747        3.8832817273074931        9.4280028039006609       -3.1543867980588693     
           2          -2        1113 -0.42487963550948821        2.9124612954806199        10.133345134679413       -3.1543867980588693     
           2          -2        1114 -0.47344962385011091        1.9416408636537466        10.838687465458166       -3.1543867980588693     
           2          -2        1115 -0.50142575159219394       0.97082043182687339        11.544029796236920       -3.1543867980588693     
           2          -2        1116 -0.51230167577315466       7.98716080604552755E-017   12.249372127015672       -3.1543867980588693     
           2          -2        1117 -0.47598697914041765      -0.97082043182687261        10.523248785652280       -3.7852641576706434     
           2          -2        1118 -0.44193263221591544       -1.9416408636537472        9.8179064548735280       -3.7852641576706434     
           2          -2        1119 -0.38477501747198040       -2.9124612954806199        9.1125641240947743       -3.7852641576706434     
           2          -2        1120 -0.30346512437486406       -3.8832817273074935        8.4072217933160225       -3.7852641576706434     
           2          -2        1121 -0.20093647473492318       -4.8541021591343672        7.7018794625372689       -3.7852641576706434     
           2          -2        1122 -8.44159103565947366E-002  -5.8249225909612399        6.9965371317585170       -3.7852641576706434     
           2          -2        1123  3.60381914336813311E-002  -6.7957430227881135        6.2911948009797642       -3.7852641576706434     
           2          -2        1124  0.15027264628885059       -7.7665634546149871        5.5858524702010115       -3.7852641576706434     
           2          -2        1125  0.25060543615779118       -8.7373838864418598        4.8805101394222588       -3.7852641576706434     
           2          -2        1126  0.33301667158453119       -9.7082043182687343        4.1751678086435060       -3.7852641576706434     
           2          -2        1127  0.39684639600620347       -10.679024750095607        3.4698254778647533       -3.7852641576706434     
           2          -2        1128  0.43714643886705162       -10.308204342110592        2.3285576129606613       -3.7852641576706434     
           2          -2        1129  0.46445658350526658       -9.9373839341255774        1.1872897480565672       -3.7852641576706434     
           2          -2        1130  0.47230641000264784       -9.5665635261405608       4.60218831524748170E-002  -3.7852641576706434     
           2          -2        1131  0.45497869420506232       -9.1957431181555460       -1.0952459817516185       -3.7852641576706434     
           2          -2        1132  0.40953795605728482       -8.8249227101705312       -2.2365138466557117       -3.7852641576706434     
           2          -2        1133  0.33752428688315761       -8.4541023021855146       -3.3777817115598041       -3.7852641576706434     
           2          -2        1134  0.24515410574209159       -8.0832818942004998       -4.5190495764638969       -3.7852641576706434     
           2          -2        1135  0.14162876819722914       -7.7124614862154850       -5.6603174413679902       -3.7852641576706434     
           2          -2        1136  3.64445187471174326E-002  -7.3416410782304693       -6.8015853062720826       -3.7852641576706434     
           2          -2        1137 -6.28453143037146778E-002  -6.9708206702454545       -7.9428531711761758       -3.7852641576706434     
           2          -2        1138 -0.15158183496146907       -6.6000002622604388       -9.0841210360802691       -3.7852641576706434     
           2          -2        1139 -0.23133081700744948       -5.4000002145767230       -9.0841210360802691       -3.7852641576706434     
           2          -2        1140 -0.30957390619425962       -4.2000001668930071       -9.0841210360802691       -3.7852641576706434     
           2          -2        1141 -0.37943280701674720       -3.0000001192092913       -9.0841210360802691       -3.7852641576706434     
           2          -2        1142 -0.43270586700597174       -1.8000000715255755       -9.0841210360802691       -3.7852641576706434     
           2          -2        1143 -0.46170985784892460      -0.60000002384185869       -9.0841210360802691       -3.7852641576706434     
           2          -2        1144 -0.46170985784892460       0.60000002384185802       -9.0841210360802691       -3.7852641576706434     
           2          -2        1145 -0.43270586700597174        1.8000000715255737       -9.0841210360802691       -3.7852641576706434     
           2          -2        1146 -0.37943280701674720        3.0000001192092900       -9.0841210360802691       -3.7852641576706434     
           2          -2        1147 -0.30957390619425973        4.2000001668930063       -9.0841210360802691       -3.7852641576706434     
           2          -2        1148 -0.23133081700744981        5.4000002145767230       -9.0841210360802691       -3.7852641576706434     
           2          -2        1149 -0.15158183496146907        6.6000002622604388       -9.0841210360802691       -3.7852641576706434     
           2          -2        1150 -6.28453143037152190E-002   6.9708206702454536       -7.9428531711761767       -3.7852641576706434     
           2          -2        1151  3.64445187471174187E-002   7.3416410782304693       -6.8015853062720826       -3.7852641576706434     
           2          -2        1152  0.14162876819722880        7.7124614862154850       -5.6603174413679902       -3.7852641576706434     
           2          -2        1153  0.24515410574209159        8.0832818942004998       -4.5190495764638978       -3.7852641576706434     
           2          -2        1154  0.33752428688315755        8.4541023021855146       -3.3777817115598046       -3.7852641576706434     
           2          -2        1155  0.40953795605728482        8.8249227101705312       -2.2365138466557122       -3.7852641576706434     
           2          -2        1156  0.45497869420506226        9.1957431181555460       -1.0952459817516189       -3.7852641576706434     
           2          -2        1157  0.47230641000264784        9.5665635261405608       4.60218831524743729E-002  -3.7852641576706434     
           2          -2        1158  0.46445658350526658        9.9373839341255756        1.1872897480565672       -3.7852641576706434     
           2          -2        1159  0.43714643886705162        10.308204342110592        2.3285576129606604       -3.7852641576706434     
           2          -2        1160  0.39684639600620353        10.679024750095607        3.4698254778647533       -3.7852641576706434     
           2          -2        1161  0.33301667158453119        9.7082043182687343        4.1751678086435069       -3.7852641576706434     
           2          -2        1162  0.25060543615779107        8.7373838864418598        4.8805101394222596       -3.7852641576706434     
           2          -2        1163  0.15027264628885081        7.7665634546149871        5.5858524702010124       -3.7852641576706434     
           2          -2        1164  3.60381914336816503E-002   6.7957430227881135        6.2911948009797651       -3.7852641576706434     
           2          -2        1165 -8.44159103565946256E-002   5.8249225909612399        6.9965371317585179       -3.7852641576706434     
           2          -2        1166 -0.20093647473492326        4.8541021591343672        7.7018794625372706       -3.7852641576706434     
           2          -2        1167 -0.30346512437486400        3.8832817273074935        8.4072217933160225       -3.7852641576706434     
           2          -2        1168 -0.38477501747198034        2.9124612954806199        9.1125641240947761       -3.7852641576706434     
           2          -2        1169 -0.44193263221591533        1.9416408636537468        9.8179064548735280       -3.7852641576706434     
           2          -2        1170 -0.47598697914041754       0.97082043182687350        10.523248785652282       -3.7852641576706434     
           2          -2        1171 -0.49052912208946858       7.98716080604552755E-017   11.228591116431033       -3.7852641576706434     
           2          -2        1172 -0.44077352144270565      -0.97082043182687261        9.5024677750676414       -4.4161415172824166     
           2          -2        1173 -0.39952046366913169       -1.9416408636537463        8.7971254442888878       -4.4161415172824166     
           2          -2        1174 -0.33312727596224811       -2.9124612954806199        8.0917831135101359       -4.4161415172824166     
           2          -2        1175 -0.24193734801495606       -3.8832817273074927        7.3864407827313832       -4.4161415172824166     
           2          -2        1176 -0.13127002156375026       -4.8541021591343663        6.6810984519526304       -4.4161415172824166     
           2          -2        1177 -1.09077385307031014E-002  -5.8249225909612399        5.9757561211738777       -4.4161415172824166     
           2          -2        1178  0.10757457218830521       -6.7957430227881126        5.2704137903951249       -4.4161415172824166     
           2          -2        1179  0.21424937221532786       -7.7665634546149862        4.5650714596163722       -4.4161415172824166     
           2          -2        1180  0.30309699468363044       -8.7373838864418598        3.8597291288376190       -4.4161415172824166     
           2          -2        1181  0.37226985269876850       -9.7082043182687325        3.1543867980588662       -4.4161415172824166     
           2          -2        1182  0.41008954435164768       -9.3373839102837177        2.0131189331547730       -4.4161415172824166     
           2          -2        1183  0.43218831720244455       -8.9665635022987011       0.87185106825068059       -4.4161415172824166     
           2          -2        1184  0.43143668289827769       -8.5957430943136863      -0.26941679665341178       -4.4161415172824166     
           2          -2        1185  0.40237059076691339       -8.2249226863286715       -1.4106846615575050       -4.4161415172824166     
           2          -2        1186  0.34366937815782966       -7.8541022783436567       -2.5519525264615983       -4.4161415172824166     
           2          -2        1187  0.25958643969802986       -7.4832818703586410       -3.6932203913656907       -4.4161415172824166     
           2          -2        1188  0.15906796183634098       -7.1124614623736253       -4.8344882562697826       -4.4161415172824166     
           2          -2        1189  5.28576973564037836E-002  -6.7416410543886105       -5.9757561211738759       -4.4161415172824166     
           2          -2        1190 -4.96477178433546232E-002  -6.3708206464035957       -7.1170239860779692       -4.4161415172824166     
           2          -2        1191 -0.14219443074401267       -6.0000002384185800       -8.2582918509820615       -4.4161415172824166     
           2          -2        1192 -0.22276529974921772       -4.8000001907348642       -8.2582918509820615       -4.4161415172824166     
           2          -2        1193 -0.29977492310504411       -3.6000001430511483       -8.2582918509820615       -4.4161415172824166     
           2          -2        1194 -0.36495194096067590       -2.4000000953674325       -8.2582918509820615       -4.4161415172824166     
           2          -2        1195 -0.40911194391928452       -1.2000000476837167       -8.2582918509820615       -4.4161415172824166     
           2          -2        1196 -0.42479871318815882       7.98716080604552755E-017  -8.2582918509820615       -4.4161415172824166     
           2          -2        1197 -0.40911194391928446        1.2000000476837158       -8.2582918509820615       -4.4161415172824166     
           2          -2        1198 -0.36495194096067590        2.4000000953674316       -8.2582918509820615       -4.4161415172824166     
           2          -2        1199 -0.29977492310504439        3.6000001430511479       -8.2582918509820615       -4.4161415172824166     
           2          -2        1200 -0.22276529974921785        4.8000001907348642       -8.2582918509820615       -4.4161415172824166     
           2          -2        1201 -0.14219443074401267        6.0000002384185800       -8.2582918509820615       -4.4161415172824166     
           2          -2        1202 -4.96477178433545399E-002   6.3708206464035957       -7.1170239860779683       -4.4161415172824166     
           2          -2        1203  5.28576973564036726E-002   6.7416410543886105       -5.9757561211738759       -4.4161415172824166     
           2          -2        1204  0.15906796183634087        7.1124614623736253       -4.8344882562697835       -4.4161415172824166     
           2          -2        1205  0.25958643969802986        7.4832818703586410       -3.6932203913656907       -4.4161415172824166     
           2          -2        1206  0.34366937815782966        7.8541022783436567       -2.5519525264615974       -4.4161415172824166     
           2          -2        1207  0.40237059076691339        8.2249226863286715       -1.4106846615575050       -4.4161415172824166     
           2          -2        1208  0.43143668289827769        8.5957430943136863      -0.26941679665341223       -4.4161415172824166     
           2          -2        1209  0.43218831720244455        8.9665635022987011       0.87185106825068059       -4.4161415172824166     
           2          -2        1210  0.41008954435164768        9.3373839102837177        2.0131189331547734       -4.4161415172824166     
           2          -2        1211  0.37226985269876850        9.7082043182687325        3.1543867980588662       -4.4161415172824166     
           2          -2        1212  0.30309699468363049        8.7373838864418598        3.8597291288376181       -4.4161415172824166     
           2          -2        1213  0.21424937221532805        7.7665634546149862        4.5650714596163713       -4.4161415172824166     
           2          -2        1214  0.10757457218830528        6.7957430227881126        5.2704137903951240       -4.4161415172824166     
           2          -2        1215 -1.09077385307028082E-002   5.8249225909612399        5.9757561211738768       -4.4161415172824166     
           2          -2        1216 -0.13127002156375014        4.8541021591343663        6.6810984519526295       -4.4161415172824166     
           2          -2        1217 -0.24193734801495601        3.8832817273074931        7.3864407827313823       -4.4161415172824166     
           2          -2        1218 -0.33312727596224806        2.9124612954806199        8.0917831135101359       -4.4161415172824166     
           2          -2        1219 -0.39952046366913169        1.9416408636537466        8.7971254442888878       -4.4161415172824166     
           2          -2        1220 -0.44077352144270560       0.97082043182687339        9.5024677750676396       -4.4161415172824166     
           2          -2        1221 -0.46015084390951144       7.98716080604552755E-017   10.207810105846393       -4.4161415172824166     
           2          -2        1222 -0.39432667453373610      -0.97082043182687350        8.4816867644830012       -5.0470188768941897     
           2          -2        1223 -0.34525978226597942       -1.9416408636537472        7.7763444337042475       -5.0470188768941897     
           2          -2        1224 -0.27014194235139777       -2.9124612954806199        7.0710021029254957       -5.0470188768941897     
           2          -2        1225 -0.17142595125394139       -3.8832817273074935        6.3656597721467429       -5.0470188768941897     
           2          -2        1226 -5.71170755467003757E-002  -4.8541021591343672        5.6603174413679902       -5.0470188768941897     
           2          -2        1227  6.10207434658267336E-002  -5.8249225909612399        4.9549751105892375       -5.0470188768941897     
           2          -2        1228  0.17124135616691905       -6.7957430227881135        4.2496327798104847       -5.0470188768941897     
           2          -2        1229  0.26525330878571396       -7.7665634546149862        3.5442904490317320       -5.0470188768941897     
           2          -2        1230  0.33948764799255310       -8.7373838864418598        2.8389481182529792       -5.0470188768941897     
           2          -2        1231  0.37278065328058840       -8.3665634784568450        1.6976802533488855       -5.0470188768941897     
           2          -2        1232  0.38740070648782354       -7.9957430704718293       0.55641238844479313       -5.0470188768941897     
           2          -2        1233  0.37607810104564932       -7.6249226624868136      -0.58485547645929925       -5.0470188768941897     
           2          -2        1234  0.33449009122936008       -7.2541022545017988       -1.7261233413633925       -5.0470188768941897     
           2          -2        1235  0.26384332082649797       -6.8832818465167831       -2.8673912062674849       -5.0470188768941897     
           2          -2        1236  0.17140830540490190       -6.5124614385317683       -4.0086590711715768       -5.0470188768941897     
           2          -2        1237  6.81854477082778909E-002  -6.1416410305467526       -5.1499269360756692       -5.0470188768941897     
           2          -2        1238 -3.48621947099201912E-002  -5.7708206225617378       -6.2911948009797625       -5.0470188768941897     
           2          -2        1239 -0.12967274277239516       -5.4000002145767221       -7.4324626658838548       -5.0470188768941897     
           2          -2        1240 -0.20884509282264563       -4.2000001668930063       -7.4324626658838548       -5.0470188768941897     
           2          -2        1241 -0.28156772809704106       -3.0000001192092904       -7.4324626658838548       -5.0470188768941897     
           2          -2        1242 -0.33836520756498001       -1.8000000715255746       -7.4324626658838548       -5.0470188768941897     
           2          -2        1243 -0.36979038525521635      -0.60000002384185780       -7.4324626658838548       -5.0470188768941897     
           2          -2        1244 -0.36979038525521635       0.60000002384185802       -7.4324626658838548       -5.0470188768941897     
           2          -2        1245 -0.33836520756498012        1.8000000715255737       -7.4324626658838548       -5.0470188768941897     
           2          -2        1246 -0.28156772809704100        3.0000001192092900       -7.4324626658838548       -5.0470188768941897     
           2          -2        1247 -0.20884509282264571        4.2000001668930063       -7.4324626658838548       -5.0470188768941897     
           2          -2        1248 -0.12967274277239507        5.4000002145767221       -7.4324626658838548       -5.0470188768941897     
           2          -2        1249 -3.48621947099201843E-002   5.7708206225617378       -6.2911948009797616       -5.0470188768941897     
           2          -2        1250  6.81854477082777799E-002   6.1416410305467526       -5.1499269360756692       -5.0470188768941897     
           2          -2        1251  0.17140830540490182        6.5124614385317674       -4.0086590711715768       -5.0470188768941897     
           2          -2        1252  0.26384332082649808        6.8832818465167831       -2.8673912062674836       -5.0470188768941897     
           2          -2        1253  0.33449009122936008        7.2541022545017988       -1.7261233413633912       -5.0470188768941897     
           2          -2        1254  0.37607810104564932        7.6249226624868136      -0.58485547645929881       -5.0470188768941897     
           2          -2        1255  0.38740070648782354        7.9957430704718293       0.55641238844479401       -5.0470188768941897     
           2          -2        1256  0.37278065328058840        8.3665634784568450        1.6976802533488866       -5.0470188768941897     
           2          -2        1257  0.33948764799255315        8.7373838864418598        2.8389481182529792       -5.0470188768941897     
           2          -2        1258  0.26525330878571407        7.7665634546149862        3.5442904490317315       -5.0470188768941897     
           2          -2        1259  0.17124135616691918        6.7957430227881126        4.2496327798104847       -5.0470188768941897     
           2          -2        1260  6.10207434658269002E-002   5.8249225909612399        4.9549751105892375       -5.0470188768941897     
           2          -2        1261 -5.71170755467003757E-002   4.8541021591343663        5.6603174413679902       -5.0470188768941897     
           2          -2        1262 -0.17142595125394131        3.8832817273074931        6.3656597721467421       -5.0470188768941897     
           2          -2        1263 -0.27014194235139771        2.9124612954806199        7.0710021029254957       -5.0470188768941897     
           2          -2        1264 -0.34525978226597936        1.9416408636537466        7.7763444337042475       -5.0470188768941897     
           2          -2        1265 -0.39432667453373604       0.97082043182687339        8.4816867644830012       -5.0470188768941897     
           2          -2        1266 -0.41962981044031566       7.98716080604552755E-017   9.1870290952617530       -5.0470188768941897     
           2          -2        1267 -0.33646444053783525      -0.97082043182687350        7.4609057538983619       -5.6778962365059629     
           2          -2        1268 -0.28012635086833082       -1.9416408636537463        6.7555634231196091       -5.6778962365059629     
           2          -2        1269 -0.19867454630187981       -2.9124612954806199        6.0502210923408573       -5.6778962365059629     
           2          -2        1270 -9.70937317912969888E-002  -3.8832817273074931        5.3448787615621036       -5.6778962365059629     
           2          -2        1271  1.43905561726204532E-002  -4.8541021591343663        4.6395364307833518       -5.6778962365059629     
           2          -2        1272  0.12345675924923202       -5.8249225909612399        3.9341941000045986       -5.6778962365059629     
           2          -2        1273  0.21985126408788172       -6.7957430227881126        3.2288517692258458       -5.6778962365059629     
           2          -2        1274  0.29792197474761362       -7.7665634546149862        2.5235094384470931       -5.6778962365059629     
           2          -2        1275  0.32455963670805354       -7.3957430466299705        1.3822415735429998       -5.6778962365059629     
           2          -2        1276  0.32979719760020570       -7.0249226386449557       0.24097370863890658       -5.6778962365059629     
           2          -2        1277  0.30707161244328540       -6.6541022306599409      -0.90029415626518672       -5.6778962365059629     
           2          -2        1278  0.25419468992418165       -6.2832818226749252       -2.0415620211692791       -5.6778962365059629     
           2          -2        1279  0.17539013729756481       -5.9124614146899095       -3.1828298860733719       -5.6778962365059629     
           2          -2        1280  8.03691182621606853E-002  -5.5416410067048947       -4.3240977509774643       -5.6778962365059629     
           2          -2        1281 -1.92623772259865322E-002  -5.1708205987198799       -5.4653656158815576       -5.6778962365059629     
           2          -2        1282 -0.11379606835810044       -4.8000001907348642       -6.6066334807856499       -5.6778962365059629     
           2          -2        1283 -0.18868408303211312       -3.6000001430511483       -6.6066334807856499       -5.6778962365059629     
           2          -2        1284 -0.25349672424326747       -2.4000000953674325       -6.6066334807856499       -5.6778962365059629     
           2          -2        1285 -0.29817775961159110       -1.2000000476837158       -6.6066334807856499       -5.6778962365059629     
           2          -2        1286 -0.31420191626576932       7.98716080604552755E-017  -6.6066334807856499       -5.6778962365059629     
           2          -2        1287 -0.29817775961159121        1.2000000476837158       -6.6066334807856499       -5.6778962365059629     
           2          -2        1288 -0.25349672424326730        2.4000000953674321       -6.6066334807856499       -5.6778962365059629     
           2          -2        1289 -0.18868408303211331        3.6000001430511483       -6.6066334807856499       -5.6778962365059629     
           2          -2        1290 -0.11379606835810044        4.8000001907348642       -6.6066334807856499       -5.6778962365059629     
           2          -2        1291 -1.92623772259865426E-002   5.1708205987198799       -5.4653656158815567       -5.6778962365059629     
           2          -2        1292  8.03691182621604494E-002   5.5416410067048947       -4.3240977509774634       -5.6778962365059629     
           2          -2        1293  0.17539013729756489        5.9124614146899095       -3.1828298860733706       -5.6778962365059629     
           2          -2        1294  0.25419468992418165        6.2832818226749252       -2.0415620211692782       -5.6778962365059629     
           2          -2        1295  0.30707161244328540        6.6541022306599409      -0.90029415626518539       -5.6778962365059629     
           2          -2        1296  0.32979719760020576        7.0249226386449557       0.24097370863890746       -5.6778962365059629     
           2          -2        1297  0.32455963670805354        7.3957430466299705        1.3822415735430003       -5.6778962365059629     
           2          -2        1298  0.29792197474761362        7.7665634546149862        2.5235094384470931       -5.6778962365059629     
           2          -2        1299  0.21985126408788180        6.7957430227881126        3.2288517692258458       -5.6778962365059629     
           2          -2        1300  0.12345675924923202        5.8249225909612399        3.9341941000045986       -5.6778962365059629     
           2          -2        1301  1.43905561726206006E-002   4.8541021591343663        4.6395364307833518       -5.6778962365059629     
           2          -2        1302 -9.70937317912969333E-002   3.8832817273074931        5.3448787615621036       -5.6778962365059629     
           2          -2        1303 -0.19867454630187972        2.9124612954806199        6.0502210923408573       -5.6778962365059629     
           2          -2        1304 -0.28012635086833071        1.9416408636537466        6.7555634231196091       -5.6778962365059629     
           2          -2        1305 -0.33646444053783525       0.97082043182687339        7.4609057538983619       -5.6778962365059629     
           2          -2        1306 -0.36825181277902630       7.98716080604552755E-017   8.1662480846771146       -5.6778962365059629     
           2          -2        1307 -0.26930708218327198      -0.97082043182687350        6.4401247433137225       -6.3087735961177360     
           2          -2        1308 -0.20803858813154252       -1.9416408636537472        5.7347824125349698       -6.3087735961177360     
           2          -2        1309 -0.12482506897392337       -2.9124612954806204        5.0294400817562170       -6.3087735961177360     
           2          -2        1310 -2.68610327098074107E-002  -3.8832817273074935        4.3240977509774643       -6.3087735961177360     
           2          -2        1311  7.47833152332883222E-002  -4.8541021591343672        3.6187554201987111       -6.3087735961177360     
           2          -2        1312  0.16903982003477183       -5.8249225909612399        2.9134130894199588       -6.3087735961177360     
           2          -2        1313  0.24835040339883183       -6.7957430227881135        2.2080707586412061       -6.3087735961177360     
           2          -2        1314  0.26670819234882315       -6.4249226148030978        1.0668028937371132       -6.3087735961177360     
           2          -2        1315  0.26183019133508784       -6.0541022068180830      -7.44649711669800041E-002  -6.3087735961177360     
           2          -2        1316  0.22883223695766527       -5.6832817988330673       -1.2157328360710724       -6.3087735961177360     
           2          -2        1317  0.16828713287131447       -5.3124613908480525       -2.3570007009751652       -6.3087735961177360     
           2          -2        1318  8.70366422926841105E-002  -4.9416409828630368       -3.4982685658792581       -6.3087735961177360     
           2          -2        1319 -4.20509208515417073E-003  -4.5708205748780220       -4.6395364307833500       -6.3087735961177360     
           2          -2        1320 -9.48614129786062577E-002  -4.2000001668930063       -5.7808042956874433       -6.3087735961177360     
           2          -2        1321 -0.16223583811516892       -3.0000001192092904       -5.7808042956874433       -6.3087735961177360     
           2          -2        1322 -0.21561156072951754       -1.8000000715255737       -5.7808042956874433       -6.3087735961177360     
           2          -2        1323 -0.24543326814524893      -0.60000002384185780       -5.7808042956874433       -6.3087735961177360     
           2          -2        1324 -0.24543326814524893       0.60000002384185802       -5.7808042956874433       -6.3087735961177360     
           2          -2        1325 -0.21561156072951754        1.8000000715255742       -5.7808042956874433       -6.3087735961177360     
           2          -2        1326 -0.16223583811516876        3.0000001192092904       -5.7808042956874433       -6.3087735961177360     
           2          -2        1327 -9.48614129786062577E-002   4.2000001668930063       -5.7808042956874433       -6.3087735961177360     
           2          -2        1328 -4.20509208515430256E-003   4.5708205748780220       -4.6395364307833500       -6.3087735961177360     
           2          -2        1329  8.70366422926840549E-002   4.9416409828630368       -3.4982685658792576       -6.3087735961177360     
           2          -2        1330  0.16828713287131442        5.3124613908480525       -2.3570007009751652       -6.3087735961177360     
           2          -2        1331  0.22883223695766527        5.6832817988330673       -1.2157328360710724       -6.3087735961177360     
           2          -2        1332  0.26183019133508784        6.0541022068180830      -7.44649711669795600E-002  -6.3087735961177360     
           2          -2        1333  0.26670819234882320        6.4249226148030978        1.0668028937371132       -6.3087735961177360     
           2          -2        1334  0.24835040339883188        6.7957430227881135        2.2080707586412061       -6.3087735961177360     
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 test/ampl.dat

New file
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          18           7  1.81745080165497046E-017
          18           8 -1.52716173158212437E-017
          18           9 -7.28825175378310606E-017
          18          10 -1.14178170402092006E-017
          18          11 -5.86715436136372505E-017
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          18          13 -2.74939733360699446E-017
          18          14  2.93811683960907821E-017
          18          15 -6.83782396515188190E-005
          18          16 -3.67015794302638752E-017
          18          17  8.44958973975191331E-017
          18          18 -2.47968578668925627E-017
          19         -19  4.47403784425419094E-018
          19         -18 -2.74436503237379070E-018
          19         -17 -5.06779956746456564E-017
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          19         -13 -2.21356901075770821E-017
          19         -12  2.42310979988505910E-017
          19         -11 -3.22762078129391515E-017
          19         -10 -9.55846748948339930E-003
          19          -9  5.54255551288248877E-017
          19          -8 -2.17010932964960317E-017
          19          -7 -3.76123300979015292E-017
          19          -6  1.04297284377790137E-017
          19          -5 -1.60749762924649734E-017
          19          -4  1.25902977279879202E-017
          19          -3  8.56759060813532550E-018
          19          -2 -2.62376925741492073E-017
          19          -1  2.98922604451523163E-018
          19           0 -7.31128664867429778E-002
          19           1 -7.15573433840432926E-018
          19           2  1.56655644151950064E-017
          19           3  1.15196480826584846E-017
          19           4  4.04866599130387656E-018
          19           5 -1.89083746770740712E-003
          19           6  1.32670219458387304E-017
          19           7  1.23404230085479016E-017
          19           8 -2.21048470607033187E-018
          19           9 -5.66448903554969883E-017
          19          10 -3.38016061344735107E-017
          19          11 -6.67311613248145719E-017
          19          12  5.13857650906555549E-019
          19          13 -3.21041337853387146E-017
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          19          15  3.93081740388212530E-003
          19          16 -1.42307204814441389E-017
          19          17  4.05848160173358052E-017
          19          18  3.58323561175770282E-017
          19          19  3.19620327635968001E-018
          20         -20  8.74637635650979579E-003
          20         -19 -2.23314966913388330E-017
          20         -18  3.39752278347407866E-018
          20         -17 -4.55555055904584339E-017
          20         -16  1.32154320264527213E-017
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          20         -10 -3.30874988704420647E-003
          20          -9  3.94093913966649094E-017
          20          -8  2.39335975214949998E-017
          20          -7 -5.64798618191930415E-017
          20          -6  2.13507359849655215E-017
          20          -5 -2.92946278623452819E-017
          20          -4 -5.43456338958359098E-018
          20          -3  1.40305540058870459E-018
          20          -2 -4.61870125478824889E-017
          20          -1  5.15703758114696720E-018
          20           0  2.13355051465567054E-002
          20           1  5.63785129692462306E-018
          20           2 -4.23464880456753361E-018
          20           3 -1.45554141656178970E-017
          20           4  1.94195309069124896E-017
          20           5  1.34256355764256988E-002
          20           6  1.12176571505828150E-017
          20           7  9.66416947213873632E-018
          20           8  4.86038302073174971E-018
          20           9 -5.11436053369339513E-018
          20          10 -9.07713784318475419E-018
          20          11 -3.16455742740290972E-017
          20          12 -2.34478490669692635E-017
          20          13 -4.34519365427563325E-017
          20          14 -1.09001708260567617E-016
          20          15  7.48792356690542327E-003
          20          16 -2.46338826184015612E-018
          20          17 -2.20895869461178960E-017
          20          18  8.42717397771491549E-017
          20          19  1.33835922623270314E-017
          20          20  1.00353386423251370E-016

			@@ -8,4 +8,4 @@
			AM_CFLAGS = -Wall -Werror
			co_testdir=../
			co_test_PROGRAMS=co_test
			co_test_SOURCES= general.c vertex.c bond.c triangle.c cell.c vesicle.c initial_distribution.c io.c energy.c sh.c co_test.c
			co_test_SOURCES= general.c vertex.c bond.c triangle.c cell.c vesicle.c initial_distribution.c io.c energy.c sh.c co_test.c frame.c

			@@ -1,7 +1,9 @@
			#include "general.h"
			#include "sh.h"
			#include <stdlib.h>
			#include "vesicle.h"
			#include "initial_distribution.h"
			#include "frame.h"
			#include <math.h>

			int main(){
			@@ -15,7 +17,8 @@
			vesicle->bending_rigidity=25.0;
			fprintf(stderr,"xk=%f\n",vesicle->bending_rigidity);

			vesicle->sphHarmonics=sph_init(vesicle->vlist, 10);
			centermass(vesicle);
			vesicle->sphHarmonics=sph_init(vesicle->vlist, 21);
			int i,j;
			ts_double area;
			for(i=1;i<=vesicle->sphHarmonics->l;i++){
			@@ -33,9 +36,24 @@
			area+=vesicle->tlist->tria[i]->area;
			}
			fprintf(stderr,"area_dipyramid=%e\n",area);
			fprintf(stderr,"Centroid=(%e,%e,%e)\n", vesicle->cm[0],vesicle->cm[1],vesicle->cm[2]);

			preparationSh(vesicle,r0);
			calculateYlmi(vesicle);
			ts_coord coord=(ts_coord )malloc(sizeof(ts_coord));
			ts_double fi, theta;
			for(i=0;i<vesicle->vlist->n;i++){

			cart2sph(coord,vesicle->vlist->vtx[i]->x, vesicle->vlist->vtx[i]->y, vesicle->vlist->vtx[i]->z);
			fi=coord->e2;
			theta=coord->e3;


			fprintf(stderr,"VTX(x,y,z,fi,theta)=%e,%e,%e,%e,%e ---> Ylmi(2,-2,%d)=%9.7e <---- data: omega=%e, r0=%e, plgndr(2,abs(-2),cos(theta))=%e, co(2,-2)=%e cos((m-l-1)fi)=%e\n",vesicle->vlist->vtx[i]->x, vesicle->vlist->vtx[i]->y, vesicle->vlist->vtx[i]->z,fi,theta,i+1,vesicle->sphHarmonics->Ylmi[2][0][i], vesicle->vlist->vtx[i]->solAngle, vesicle->vlist->vtx[i]->relR, plgndr(2,abs(-2),cos(theta)), vesicle->sphHarmonics->co[2][1], cos(-2fi));

			}

			free(coord);
			calculateUlm(vesicle);

			for(i=0;i<vesicle->sphHarmonics->l;i++){

			@@ -69,7 +69,7 @@
			}

			/* Gives you legendre polynomials. Taken from NR, p. 254 */
			ts_double plgndr(ts_int l, ts_int m, ts_float x){
			ts_double plgndr(ts_int l, ts_int m, ts_double x){
			ts_double fact, pll, pmm, pmmp1, somx2;
			ts_int i,ll;

			@@ -274,7 +274,7 @@
			r=sqrtl(cvtx->xcvtx->x+cvtx->ycvtx->y+cvtx->z*cvtx->z);
			#endif
			cvtx->relR=(r-r0)/r0;
			cvtx->solAngle=cvtx->projArea/cvtx->relR * cvtx->projArea/cvtx->relR;
			cvtx->solAngle=cvtx->projArea/r/r;
			}
			return TS_SUCCESS;
			}
			@@ -282,7 +282,7 @@


			ts_bool calculateYlmi(ts_vesicle *vesicle){
			ts_uint i,j,k;
			ts_int i,j,k;
			ts_spharm *sph=vesicle->sphHarmonics;
			ts_coord coord=(ts_coord )malloc(sizeof(ts_coord));
			ts_double fi, theta;
			@@ -297,11 +297,30 @@
			for(i=1; i<sph->l; i++){
			for(j=0;j<i;j++){
			m=j+1;
			//Nastudiraj!!!!!
			sph->Ylmi[i][j][k]=sph->co[i][m]cos((m-i-1)fi)pow(-1,m-i-1)plgndr(i,abs(m-i-1),cos(theta));
			if(i==2 && j==0){
			/* fprintf(stderr," ** vtx %d **\n", k+1);
			fprintf(stderr,"m-i-1 =%d\n",m-i-1);
			fprintf(stderr,"fi =%e\n",fi);
			fprintf(stderr,"(m-i-1)fi =%e\n",((ts_double)(m-i-1))fi);
			fprintf(stderr,"-2fi =%e\n",-2fi);
			fprintf(stderr,"m =%d\n",m);

			fprintf(stderr," cos(m-i-1)=%e\n",cos((m-i-1)*fi));
			fprintf(stderr," cos(-2fi)=%e\n",cos(-2fi));
			fprintf(stderr," sph->co[i][m]=%e\n",sph->co[i][m]);
			fprintf(stderr," plgndr(i,abs(m-i-1),cos(theta))=%e\n",plgndr(i,abs(m-i-1),cos(theta)));
			*/
			}
			}
			sph->Ylmi[i][j+1][k]=sph->co[i][m+1]*plgndr(i,0,cos(theta));
			for(j=i+1;j<2*i;j++){
			//Nastudiraj!!!!!
			j=i;
			m=j+1;
			sph->Ylmi[i][j][k]=sph->co[i][m]*plgndr(i,0,cos(theta));
			for(j=i+1;j<2*i+1;j++){
			m=j+1;
			//Nastudiraj!!!!!
			sph->Ylmi[i][j][k]=sph->co[i][m]sin((m-i-1)fi)*plgndr(i,m-i-1,cos(theta));
			}
			}
			@@ -326,7 +345,7 @@
			for(k=0;k<vesicle->vlist->n; k++){
			cvtx=vesicle->vlist->vtx[k];
			for(i=0;i<vesicle->sphHarmonics->l;i++){
			for(j=0;j<2*i;j++){
			for(j=0;j<2*i+1;j++){
			vesicle->sphHarmonics->ulm[i][j]+= cvtx->solAnglecvtx->relRvesicle->sphHarmonics->Ylmi[i][j][k];
			}

			@@ -2,10 +2,10 @@
			#define _H_SH
			#include "general.h"

			ts_double plgndr(ts_int l, ts_int m, ts_float x);
			ts_double plgndr(ts_int l, ts_int m, ts_double x);
			ts_double shY(ts_int l,ts_int m,ts_double theta,ts_double fi);


			ts_bool cart2sph(ts_coord coord, ts_double x, ts_double y, ts_double z);
			ts_bool precomputeShCoeff(ts_spharm *sph);
			ts_spharm sph_init(ts_vertex_list vlist, ts_uint l);
			ts_bool sph_free(ts_spharm *sph);

New file
			@@ -0,0 +1,441 @@
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