import graph3;
import three;
size(7.5cm,0);
pen p=black+1;
draw(unithemisphere,white+opacity(0.1));
currentprojection=orthographic((1.0,3.7978084174e-13,0.3));
draw(Arc((0.210430715717,-1.39847020486,-6.02281380907e-14),(-0.383589028854,-0.594019744572,-6.02281380907e-14),(0.804450460289,-0.594019744572,-6.02281380907e-14),(0,0,1),false),p);
label("$1$",(0.210430715717,-0.39847020486,-6.02281380907e-14));
draw(Arc((1.24308462654,0,-6.02281380907e-14),(0.804450460289,-0.594019744572,-6.02281380907e-14),(0.804450460289,0.594019744572,-6.02281380907e-14),(0,0,1),false),p);
label("$1$",(0.504667814203,0,-6.02281380907e-14));
draw(Arc((0.210430715716,1.39847020486,-6.02281380907e-14),(0.804450460289,0.594019744572,-6.02281380907e-14),(-0.383589028854,0.594019744571,-6.02281380907e-14),(0,0,1),false),p);
label("$1$",(0.210430715718,0.39847020486,-6.02281380907e-14));
draw(Arc((-1.95521754686,0,-6.02281380907e-14),(-0.383589028854,0.594019744571,-6.02281380907e-14),(-0.383589028854,-0.594019744572,-6.02281380907e-14),(0,0,1),false),p);
label("$1$",(-0.275075988673,-4.82347356337e-13,-6.02281380907e-14));
draw((-8.34304792494e-16,3.55970044798e-15,1.0)--(-0.383589028854,-0.594019744572,-6.02281380907e-14),p);
label("$23\bar2$",(-0.191794514427,-0.297009872286,0.5),align=right);
draw((-8.34304792494e-16,3.55970044798e-15,1.0)--(0.804450460289,-0.594019744572,-3.89020850224e-13),p);
label("$2$",(0.402225230145,-0.297009872286,0.5),align=right);
draw((-8.34304792494e-16,3.55970044798e-15,1.0)--(0.804450460289,0.594019744572,8.8470388206e-13),p);
label("$3$",(0.402225230145,0.297009872286,0.5),align=right);
draw((-8.34304792494e-16,3.55970044798e-15,1.0)--(-0.383589028854,0.594019744571,3.92912958703e-13),p);
label("$\bar323$",(-0.191794514427,0.297009872285,0.5),align=right);
pen dp = blue+4;
pen dpi = red+4;
dot((-8.34304792494e-16,3.55970044798e-15,1.0),dpi);
dot((-0.383589028854,-0.594019744572,-6.02281380907e-14),dp);
dot((0.804450460289,-0.594019744572,-3.89020850224e-13),dpi);
dot((0.804450460289,0.594019744572,8.8470388206e-13),dpi);
dot((-0.383589028854,0.594019744571,3.92912958703e-13),dp);
draw((0,0,0)--(0,0,1.0),black+dashed);
draw((0.804450460289,0.594019744572,8.8470388206e-13)--(0,0,0),black+dashed);
draw((-0.383589028854,0.594019744571,3.92912958703e-13)--(0,0,0),black+dashed);