8530 P3(00p,00r,00q)0

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v;


8531 P3(00p,00r,00q).00t. equivalent group: P3(00p,00r,00q).00t. P3(00p,00r,00q).0t0. P3(00p,00r,00q).0tt. P3(00p,00r,00q).0tt. P3(00p,00r,00q).0t0. P3(00p,00r,00q).0tt. P3(00p,00r,00q).0tt. P3(00p,00r,00q).t00. P3(00p,00r,00q).t0t. P3(00p,00r,00q).t0t. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt. P3(00p,00r,00q).t00. P3(00p,00r,00q).t0t. P3(00p,00r,00q).t0t. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt.

x,y,z,t,u,v; -y,x-y,z,t,u,1/3+v; -x+y,-x,z,t,u,2/3+v;

00lmni:i=3n 00lmni:2i=3n


8532 P31(00p,00r,00q)0 equivalent group: P31(00p,00r,00q).00t. P31(00p,00r,00q).00t. P31(00p,00r,00q).0t0. P31(00p,00r,00q).0tt. P31(00p,00r,00q).0tt. P31(00p,00r,00q).0t0. P31(00p,00r,00q).0tt. P31(00p,00r,00q).0tt. P31(00p,00r,00q).t00. P31(00p,00r,00q).t0t. P31(00p,00r,00q).t0t. P31(00p,00r,00q).tt0. P31(00p,00r,00q).ttt. P31(00p,00r,00q).ttt. P31(00p,00r,00q).tt0. P31(00p,00r,00q).ttt. P31(00p,00r,00q).ttt. P31(00p,00r,00q).t00. P31(00p,00r,00q).t0t. P31(00p,00r,00q).t0t. P31(00p,00r,00q).tt0. P31(00p,00r,00q).ttt. P31(00p,00r,00q).ttt. P31(00p,00r,00q).tt0. P31(00p,00r,00q).ttt. P31(00p,00r,00q).ttt. P3(00p,00r,00q)0 P3(00p,00r,00q).00t. P3(00p,00r,00q).00t. P3(00p,00r,00q).0t0. P3(00p,00r,00q).0tt. P3(00p,00r,00q).0tt. P3(00p,00r,00q).0t0. P3(00p,00r,00q).0tt. P3(00p,00r,00q).0tt. P3(00p,00r,00q).t00. P3(00p,00r,00q).t0t. P3(00p,00r,00q).t0t. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt. P3(00p,00r,00q).t00. P3(00p,00r,00q).t0t. P3(00p,00r,00q).t0t. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt. P3(00p,00r,00q).tt0. P3(00p,00r,00q).ttt. P3(00p,00r,00q).ttt.

x,y,z,t,u,v; -y,x-y,1/3+z,t,u,v; -x+y,-x,2/3+z,t,u,v;

00lmni:l=3n 00lmni:2l=3n


8533 P3(00p,00r,1/31/3q)0

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8534 P3(00p,00r,1/31/3q).0t0. equivalent group: P3(00p,00r,1/31/3q).0t0. P3(00p,00r,1/31/3q).t00. P3(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q).t00. P3(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q).tt0.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,1/3+u,v; -x+y,-x,z,t,2/3+u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 00lmni:n=3n 00lmni:2n=3n


8535 P31(00p,00r,1/31/3q)0 equivalent group: P31(00p,00r,1/31/3q).0t0. P31(00p,00r,1/31/3q).0t0. P31(00p,00r,1/31/3q).t00. P31(00p,00r,1/31/3q).tt0. P31(00p,00r,1/31/3q).tt0. P31(00p,00r,1/31/3q).t00. P31(00p,00r,1/31/3q).tt0. P31(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q)0 P3(00p,00r,1/31/3q).0t0. P3(00p,00r,1/31/3q).0t0. P3(00p,00r,1/31/3q).t00. P3(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q).t00. P3(00p,00r,1/31/3q).tt0. P3(00p,00r,1/31/3q).tt0.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,1/3+z,t,u,v; -x+y,-x,2/3+z,t,u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 00lmni:l=3n 00lmni:2l=3n


8536 P3(-spq,r-sq,prq)t

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8537 P31(-spq,r-sq,prq)1t equivalent group: P3(-spq,r-sq,prq)t

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n 00l00i:l=3n 00l00i:2l=3n


8538 P3(s-p0,pr0,00q)t

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v;


8539 P3(s-p0,pr0,00q)t equivalent group: P3(s-p0,pr0,00q)t

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v;

00l00i:i=3n 00l00i:2i=3n


8540 P31(s-p0,pr0,00q)1t equivalent group: P31(s-p0,pr0,00q)1t P31(s-p0,pr0,00q)1t P3(s-p0,pr0,00q)t P3(s-p0,pr0,00q)t P3(s-p0,pr0,00q)t

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v;

00l00i:l=3n 00l00i:2l=3n


8541 P3(s-p0,pr0,1/31/3q)t

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8542 P31(s-p0,pr0,1/31/3q)1t equivalent group: P3(s-p0,pr0,1/31/3q)t

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 00l00i:l=3n 00l00i:2l=3n


8543 P3(s-p1/3,pr2/3,00q)t

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8544 P3(s-p1/3,pr2/3,00q)t equivalent group: P3(s-p1/3,pr2/3,00q)t

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n 00l00i:i=3n 00l00i:2i=3n


8545 P3(s-p1/3,pr2/3,1/31/3q)t

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n


8546 R-3(00p,00r,00q)0

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8547 R-3(-rqs,p-rs,qps)0

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n


8548 R-3(qp0,-ps0,00r)0

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8549 P-3(00p,00r,00q)0

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v;


8550 P-3(00p,00r,1/31/3q)0

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8551 P-3(-spq,r-sq,prq)0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8552 P-3(s-p0,pr0,00q)0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;


8553 P-3(s-p0,pr0,1/31/3q)0

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8554 P-3(s-p1/3,pr2/3,00q)0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8555 P-3(s-p1/3,pr2/3,1/31/3q)0

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n


8556 R32(00p,00r,00q)00

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,-v; -x,-x+y,-z,-t,-u,-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8557 R32(00p,00r,00q).00t.0 equivalent group: R32(00p,00r,00q).00t.0 R32(00p,00r,00q).0t0.0 R32(00p,00r,00q).0tt.0 R32(00p,00r,00q).0tt.0 R32(00p,00r,00q).0t0.0 R32(00p,00r,00q).0tt.0 R32(00p,00r,00q).0tt.0 R32(00p,00r,00q).t00.0 R32(00p,00r,00q).t0t.0 R32(00p,00r,00q).t0t.0 R32(00p,00r,00q).tt0.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).tt0.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).t00.0 R32(00p,00r,00q).t0t.0 R32(00p,00r,00q).t0t.0 R32(00p,00r,00q).tt0.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).tt0.0 R32(00p,00r,00q).ttt.0 R32(00p,00r,00q).ttt.0

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,1/3+v; -x+y,-x,z,t,u,2/3+v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,2/3-v; -x,-x+y,-z,-t,-u,1/3-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n 00lmni:i=3n 00lmni:2i=3n


8558 R32(0-pq,p0q,-ppq)ts

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n


8559 R32(-p2p0,-2pp0,00q)ts

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,-u,-t,-v; x-y,-y,-z,-t+u,u,-v; -x,-x+y,-z,t,t-u,-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8560 R32(-p2p0,-2pp0,00q)ts equivalent group: R32(-p2p0,-2pp0,00q)ts

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; y,x,-z,-u,-t,-v; x-y,-y,-z,-t+u,u,2/3-v; -x,-x+y,-z,t,t-u,1/3-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n 00l00i:i=3n 00l00i:2i=3n


8561 R32(p00,0p0,00q)ts

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8562 R32(p00,0p0,00q)ts equivalent group: R32(p00,0p0,00q)ts

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,2/3-v; -x,-x+y,-z,-t,-t+u,1/3-v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n 00l00i:i=3n 00l00i:2i=3n


8563 P312(00p,00r,00q)000

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,-z,-t,-u,-v; -x+y,y,-z,-t,-u,-v; x,x-y,-z,-t,-u,-v;


8564 P312(00p,00r,00q).00t.00 equivalent group: P312(00p,00r,00q).00t.00 P312(00p,00r,00q).0t0.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).0t0.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).t00.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).t00.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00

x,y,z,t,u,v; -y,x-y,z,t,u,1/3+v; -x+y,-x,z,t,u,2/3+v; -y,-x,-z,-t,-u,-v; -x+y,y,-z,-t,-u,2/3-v; x,x-y,-z,-t,-u,1/3-v;

00lmni:i=3n 00lmni:2i=3n


8565 P3112(00p,00r,00q)000 equivalent group: P3112(00p,00r,00q).00t.00 P3112(00p,00r,00q).00t.00 P3112(00p,00r,00q).0t0.00 P3112(00p,00r,00q).0tt.00 P3112(00p,00r,00q).0tt.00 P3112(00p,00r,00q).0t0.00 P3112(00p,00r,00q).0tt.00 P3112(00p,00r,00q).0tt.00 P3112(00p,00r,00q).t00.00 P3112(00p,00r,00q).t0t.00 P3112(00p,00r,00q).t0t.00 P3112(00p,00r,00q).tt0.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).tt0.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).t00.00 P3112(00p,00r,00q).t0t.00 P3112(00p,00r,00q).t0t.00 P3112(00p,00r,00q).tt0.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).tt0.00 P3112(00p,00r,00q).ttt.00 P3112(00p,00r,00q).ttt.00 P312(00p,00r,00q)000 P312(00p,00r,00q).00t.00 P312(00p,00r,00q).00t.00 P312(00p,00r,00q).0t0.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).0t0.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).0tt.00 P312(00p,00r,00q).t00.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).t00.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).t0t.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).tt0.00 P312(00p,00r,00q).ttt.00 P312(00p,00r,00q).ttt.00

x,y,z,t,u,v; -y,x-y,1/3+z,t,u,v; -x+y,-x,2/3+z,t,u,v; -y,-x,-z,-t,-u,-v; -x+y,y,2/3-z,-t,-u,-v; x,x-y,1/3-z,-t,-u,-v;

00lmni:l=3n 00lmni:2l=3n


8566 P312(00p,00r,1/31/3q)000

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -x,-x+y,-z,-t,-u,-v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8567 P3112(00p,00r,1/31/3q)000 equivalent group: P312(00p,00r,1/31/3q)000 P312(00p,00r,1/31/3q).0t0.00 P3112(00p,00r,1/31/3q).0t0.00 P312(00p,00r,1/31/3q).0t0.00 P312(00p,00r,1/31/3q).0t0.00 P3112(00p,00r,1/31/3q).0t0.00 P312(00p,00r,1/31/3q).0t0.00 P312(00p,00r,1/31/3q).t00.00 P3112(00p,00r,1/31/3q).t00.00 P312(00p,00r,1/31/3q).t00.00 P312(00p,00r,1/31/3q).tt0.00 P3112(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).tt0.00 P3112(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).t00.00 P3112(00p,00r,1/31/3q).t00.00 P312(00p,00r,1/31/3q).t00.00 P312(00p,00r,1/31/3q).tt0.00 P3112(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).tt0.00 P3112(00p,00r,1/31/3q).tt0.00 P312(00p,00r,1/31/3q).tt0.00

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,1/3+z,t,u,v; -x+y,-x,2/3+z,t,u,v; -x,-x+y,-z,-t,-u,-v; y,x,2/3-z,-t,-u,-v; x-y,-y,1/3-z,-t,-u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 00lmni:l=3n 00lmni:2l=3n


8568 P312(-2ppq,p-2pq,ppq)t0s

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,-z,u,t,-v; -x+y,y,-z,t-u,-u,-v; x,x-y,-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8569 P3112(-2ppq,p-2pq,ppq)1t0s equivalent group: P312(-2ppq,p-2pq,ppq)t0s

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; -y,-x,-z,u,t,-v; -x+y,y,2/3-z,t-u,-u,-v; x,x-y,1/3-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n 00l00i:l=3n 00l00i:2l=3n


8570 P312(p00,0p0,00q)t0s

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,-z,-u,-t,-v; -x+y,y,-z,-t+u,u,-v; x,x-y,-z,t,t-u,-v;


8571 P3112(p00,0p0,00q)1t0s equivalent group: P312(p00,0p0,00q)t0s P3112(p00,0p0,00q)1t0s P312(p00,0p0,00q)t0s P3112(p00,0p0,00q)1t0s P312(p00,0p0,00q)t0s

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; -y,-x,-z,-u,-t,-v; -x+y,y,2/3-z,-t+u,u,-v; x,x-y,1/3-z,t,t-u,-v;

00l00i:l=3n 00l00i:2l=3n


8572 P312(p00,0p0,00q)t0s equivalent group: P312(p00,0p0,00q)t0s

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; -y,-x,-z,-u,-t,-v; -x+y,y,-z,-t+u,u,2/3-v; x,x-y,-z,t,t-u,1/3-v;

00l00i:i=3n 00l00i:2i=3n


8573 P312(p00,0p0,1/31/3q)t0s

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-x+y,-z,-u,-t,-v; y,x,-z,-t+u,u,-v; x-y,-y,-z,t,t-u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8574 P3112(p00,0p0,1/31/3q)1t0s equivalent group: P312(p00,0p0,1/31/3q)t0s

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; -x,-x+y,-z,-u,-t,-v; y,x,2/3-z,-t+u,u,-v; x-y,-y,1/3-z,t,t-u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 00l00i:l=3n 00l00i:2l=3n


8575 P312(-p2p0,-2pp0,00q)t0s

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,-z,u,t,-v; -x+y,y,-z,t-u,-u,-v; x,x-y,-z,-t,-t+u,-v;


8576 P3112(-p2p0,-2pp0,00q)1t0s equivalent group: P312(-p2p0,-2pp0,00q)t0s P3112(-p2p0,-2pp0,00q)1t0s P312(-p2p0,-2pp0,00q)t0s P3112(-p2p0,-2pp0,00q)1t0s P312(-p2p0,-2pp0,00q)t0s

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; -y,-x,-z,u,t,-v; -x+y,y,2/3-z,t-u,-u,-v; x,x-y,1/3-z,-t,-t+u,-v;

00l00i:l=3n 00l00i:2l=3n


8577 P312(-p2p0,-2pp0,00q)t0s equivalent group: P312(-p2p0,-2pp0,00q)t0s

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; -y,-x,-z,u,t,-v; -x+y,y,-z,t-u,-u,2/3-v; x,x-y,-z,-t,-t+u,1/3-v;

00l00i:i=3n 00l00i:2i=3n


8578 P312(-p2p0,-2pp0,1/31/3q)t0s

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-x+y,-z,u,t,-v; y,x,-z,t-u,-u,-v; x-y,-y,-z,-t,-t+u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8579 P3112(-p2p0,-2pp0,1/31/3q)1t0s equivalent group: P312(-p2p0,-2pp0,1/31/3q)t0s

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; -x,-x+y,-z,u,t,-v; y,x,2/3-z,t-u,-u,-v; x-y,-y,1/3-z,-t,-t+u,-v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 00l00i:l=3n 00l00i:2l=3n


8580 P312(-p2p1/3,-2pp2/3,00q)t0s

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,-z,u,t,-v; -x+y,y,-z,t-u,-u,-v; x,x-y,-z,-t,-t+u,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8581 P312(-p2p1/3,-2pp2/3,00q)t0s equivalent group: P312(-p2p1/3,-2pp2/3,00q)t0s

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; -y,-x,-z,u,t,-v; -x+y,y,-z,t-u,-u,2/3-v; x,x-y,-z,-t,-t+u,1/3-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n 00l00i:i=3n 00l00i:2i=3n


8582 P312(-p2p1/3,-2pp2/3,1/31/3q)t0s

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -x,-x+y,-z,u,t,-v; y,x,-z,t-u,-u,-v; x-y,-y,-z,-t,-t+u,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n


8583 P321(00p,00r,00q)000

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,-v; -x,-x+y,-z,-t,-u,-v;


8584 P321(00p,00r,00q).00t.00 equivalent group: P321(00p,00r,00q).00t.00 P321(00p,00r,00q).0t0.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).0t0.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).t00.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).t00.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00

x,y,z,t,u,v; -y,x-y,z,t,u,1/3+v; -x+y,-x,z,t,u,2/3+v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,2/3-v; -x,-x+y,-z,-t,-u,1/3-v;

00lmni:i=3n 00lmni:2i=3n


8585 P3121(00p,00r,00q)000 equivalent group: P3121(00p,00r,00q).00t.00 P3121(00p,00r,00q).00t.00 P3121(00p,00r,00q).0t0.00 P3121(00p,00r,00q).0tt.00 P3121(00p,00r,00q).0tt.00 P3121(00p,00r,00q).0t0.00 P3121(00p,00r,00q).0tt.00 P3121(00p,00r,00q).0tt.00 P3121(00p,00r,00q).t00.00 P3121(00p,00r,00q).t0t.00 P3121(00p,00r,00q).t0t.00 P3121(00p,00r,00q).tt0.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).tt0.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).t00.00 P3121(00p,00r,00q).t0t.00 P3121(00p,00r,00q).t0t.00 P3121(00p,00r,00q).tt0.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).tt0.00 P3121(00p,00r,00q).ttt.00 P3121(00p,00r,00q).ttt.00 P321(00p,00r,00q)000 P321(00p,00r,00q).00t.00 P321(00p,00r,00q).00t.00 P321(00p,00r,00q).0t0.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).0t0.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).0tt.00 P321(00p,00r,00q).t00.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).t00.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).t0t.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).tt0.00 P321(00p,00r,00q).ttt.00 P321(00p,00r,00q).ttt.00

x,y,z,t,u,v; -y,x-y,1/3+z,t,u,v; -x+y,-x,2/3+z,t,u,v; y,x,-z,-t,-u,-v; x-y,-y,2/3-z,-t,-u,-v; -x,-x+y,1/3-z,-t,-u,-v;

00lmni:l=3n 00lmni:2l=3n


8586 P321(0-pq,p0q,-ppq)ts0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8587 P3121(0-pq,p0q,-ppq)1ts0 equivalent group: P321(0-pq,p0q,-ppq)ts0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,2/3-z,t-u,-u,-v; -x,-x+y,1/3-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n 00l00i:l=3n 00l00i:2l=3n


8588 P321(-p2p0,-2pp0,00q)ts0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,-u,-t,-v; x-y,-y,-z,-t+u,u,-v; -x,-x+y,-z,t,t-u,-v;


8589 P3121(-p2p0,-2pp0,00q)1ts0 equivalent group: P321(-p2p0,-2pp0,00q)ts0 P3121(-p2p0,-2pp0,00q)1ts0 P321(-p2p0,-2pp0,00q)ts0 P3121(-p2p0,-2pp0,00q)1ts0 P321(-p2p0,-2pp0,00q)ts0

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; y,x,-z,-u,-t,-v; x-y,-y,2/3-z,-t+u,u,-v; -x,-x+y,1/3-z,t,t-u,-v;

00l00i:l=3n 00l00i:2l=3n


8590 P321(-p2p0,-2pp0,00q)ts0 equivalent group: P321(-p2p0,-2pp0,00q)ts0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; y,x,-z,-u,-t,-v; x-y,-y,-z,-t+u,u,2/3-v; -x,-x+y,-z,t,t-u,1/3-v;

00l00i:i=3n 00l00i:2i=3n


8591 P321(p00,0p0,00q)ts0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;


8592 P3121(p00,0p0,00q)1ts0 equivalent group: P321(p00,0p0,00q)ts0 P3121(p00,0p0,00q)1ts0 P321(p00,0p0,00q)ts0 P3121(p00,0p0,00q)1ts0 P321(p00,0p0,00q)ts0

x,y,z,t,u,v; -y,x-y,1/3+z,-u,t-u,v; -x+y,-x,2/3+z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,2/3-z,t-u,-u,-v; -x,-x+y,1/3-z,-t,-t+u,-v;

00l00i:l=3n 00l00i:2l=3n


8593 P321(p00,0p0,00q)ts0 equivalent group: P321(p00,0p0,00q)ts0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,2/3-v; -x,-x+y,-z,-t,-t+u,1/3-v;

00l00i:i=3n 00l00i:2i=3n


8594 P321(p01/3,0p2/3,00q)ts0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8595 P321(p01/3,0p2/3,00q)ts0 equivalent group: P321(p01/3,0p2/3,00q)ts0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,1/3+v; -x+y,-x,z,-t+u,-t,2/3+v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,2/3-v; -x,-x+y,-z,-t,-t+u,1/3-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n 00l00i:i=3n 00l00i:2i=3n


8596 R3m(00p,00r,00q)00

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,z,t,u,v; -x+y,y,z,t,u,v; x,x-y,z,t,u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8597 R3m(00p,00r,00q)0.00s. equivalent group: R3m(00p,00r,00q)0.0s0. R3m(00p,00r,00q)0.0ss. R3m(00p,00r,00q)0.s00. R3m(00p,00r,00q)0.s0s. R3m(00p,00r,00q)0.ss0. R3m(00p,00r,00q)0.sss.

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,z,t,u,1/2+v; -x+y,y,z,t,u,1/2+v; x,x-y,z,t,u,1/2+v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n -kklmni:i=2n 0klmni:i=2n h0lmni:i=2n


8598 R3c(00p,00r,00q)00 equivalent group: R3c(00p,00r,00q)0.00s. R3c(00p,00r,00q)0.0s0. R3c(00p,00r,00q)0.0ss. R3c(00p,00r,00q)0.s00. R3c(00p,00r,00q)0.s0s. R3c(00p,00r,00q)0.ss0. R3c(00p,00r,00q)0.sss.

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; 1/2-y,1/2+x-y,z,t,u,v; -x+y,1/2-x,z,t,u,v; 1/2-y,1/2-x,1/2+z,t,u,v; -x+y,y,1/2+z,t,u,v; x,1/2+x-y,1/2+z,t,u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n -kklmni:l=2n 0klmni:l=2n h0lmni:l=2n


new symbol expected tgi: 0.333333313 0.333332986 0.166666672 new symbol expected tgi: 0.333333313 0.333332986 0.166666672 8599 R3m(0-pq,p0q,-ppq)tm

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n


8600 R3m(0-pq,p0q,-ppq)t?

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,1/2+t-u,v; -x+y,-x,z,-t+u,1/2-t,v; -y,-x,z,5/6-u,1/6-t,1/6+v; -x+y,y,z,1/3-t+u,2/3+u,1/6+v; x,x-y,z,1/3+t,1/6+t-u,1/6+v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n h-hl-nni:2n+4n+i=6n 0kl0ni:20+4n+i=6n h0lm0i:2m+0+i=6n


8601 R3c(0-pq,p0q,-ppq)tm equivalent group: R3c(0-pq,p0q,-ppq)t?

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,x-y,1/2+z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


8602 R3m(p00,0p0,00q)tm

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8603 R3m(p00,0p0,00q)tc

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,t-u,1/2+v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8604 R3c(p00,0p0,00q)tm equivalent group: R3c(p00,0p0,00q)tc

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; 1/2-y,1/2+x-y,z,-u,t-u,v; -x+y,1/2-x,z,-t+u,-t,v; 1/2-y,1/2-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,1/2+x-y,1/2+z,t,t-u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


8605 R3m(-p2p0,-2pp0,00q)tm

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,u,t,v; -x+y,y,z,t-u,-u,v; x,x-y,z,-t,-t+u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8606 R3m(-p2p0,-2pp0,00q)tc

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,u,t,1/2+v; -x+y,y,z,t-u,-u,1/2+v; x,x-y,z,-t,-t+u,1/2+v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n -kklnni:i=2n 0kl-2nni:i=2n h0lm-2mi:i=2n


8607 R3c(-p2p0,-2pp0,00q)tm equivalent group: R3c(-p2p0,-2pp0,00q)tc

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; 1/2-y,1/2+x-y,z,-u,t-u,v; -x+y,1/2-x,z,-t+u,-t,v; 1/2-y,1/2-x,1/2+z,u,t,v; -x+y,y,1/2+z,t-u,-u,v; x,1/2+x-y,1/2+z,-t,-t+u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n -kklnni:l=2n 0kl-2nni:l=2n h0lm-2mi:l=2n


8608 P3m1(00p,00r,00q)000

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,z,t,u,v; -x+y,y,z,t,u,v; x,x-y,z,t,u,v;


8609 P3m1(00p,00r,00q)0.00s.0 equivalent group: P3m1(00p,00r,00q)0.0s0.0 P3m1(00p,00r,00q)0.0ss.0 P3m1(00p,00r,00q)0.s00.0 P3m1(00p,00r,00q)0.s0s.0 P3m1(00p,00r,00q)0.ss0.0 P3m1(00p,00r,00q)0.sss.0

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,z,t,u,1/2+v; -x+y,y,z,t,u,1/2+v; x,x-y,z,t,u,1/2+v;

-kklmni:i=2n 0klmni:i=2n h0lmni:i=2n


8610 P3c1(00p,00r,00q)000 equivalent group: P3c1(00p,00r,00q)0.00s.0 P3c1(00p,00r,00q)0.0s0.0 P3c1(00p,00r,00q)0.0ss.0 P3c1(00p,00r,00q)0.s00.0 P3c1(00p,00r,00q)0.s0s.0 P3c1(00p,00r,00q)0.ss0.0 P3c1(00p,00r,00q)0.sss.0

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,1/2+z,t,u,v; -x+y,y,1/2+z,t,u,v; x,x-y,1/2+z,t,u,v;

-kklmni:l=2n 0klmni:l=2n h0lmni:l=2n


new symbol expected tgi: 0.333333313 0.333332986 0.166666672 new symbol expected tgi: 0.333333313 0.333332986 0.166666672 8611 P3m1(0-pq,p0q,-ppq)tm0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8612 P3m1(0-pq,p0q,-ppq)t?0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,1/2+t-u,v; -x+y,-x,z,-t+u,1/2-t,v; -y,-x,z,5/6-u,1/6-t,1/6+v; -x+y,y,z,1/3-t+u,2/3+u,1/6+v; x,x-y,z,1/3+t,1/6+t-u,1/6+v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n h-hl-nni:2n+4n+i=6n 0kl0ni:20+4n+i=6n h0lm0i:2m+0+i=6n


8613 P3c1(0-pq,p0q,-ppq)tm0 equivalent group: P3c1(0-pq,p0q,-ppq)t?0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,x-y,1/2+z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


8614 P3m1(p00,0p0,00q)tm0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;


8615 P3m1(p00,0p0,00q)tc0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,t-u,1/2+v;

h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8616 P3c1(p00,0p0,00q)tm0 equivalent group: P3c1(p00,0p0,00q)tc0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,x-y,1/2+z,t,t-u,v;

h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


new symbol expected tgi: 0.166666672 0.333333343 0. new symbol expected tgi: 0.166666672 0.333333343 0.5 8617 P3m1(p01/3,0p2/3,00q)tm0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8618 P3m1(p01/3,0p2/3,00q)tc0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,t-u,1/2+v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8619 P3c1(p01/3,0p2/3,00q)t?0 equivalent group: P3c1(p01/3,0p2/3,00q)t?0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,5/6+z,2/3-u,1/3-t,v; -x+y,y,5/6+z,2/3-t+u,1/3+u,v; x,x-y,5/6+z,2/3+t,1/3+t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n h-hl-nni:5l-n+5n=6n 0kl0ni:5l+0+2n=6n h0lm0i:5l+4m+20=6n


8620 P3m1(-p2p0,-2pp0,00q)tm0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,u,t,v; -x+y,y,z,t-u,-u,v; x,x-y,z,-t,-t+u,v;


8621 P3m1(-p2p0,-2pp0,00q)tc0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,u,t,1/2+v; -x+y,y,z,t-u,-u,1/2+v; x,x-y,z,-t,-t+u,1/2+v;

-kklnni:i=2n 0kl-2nni:i=2n h0lm-2mi:i=2n


8622 P3c1(-p2p0,-2pp0,00q)tm0 equivalent group: P3c1(-p2p0,-2pp0,00q)tc0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,u,t,v; -x+y,y,1/2+z,t-u,-u,v; x,x-y,1/2+z,-t,-t+u,v;

-kklnni:l=2n 0kl-2nni:l=2n h0lm-2mi:l=2n


8623 P31m(00p,00r,00q)000

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,z,t,u,v; x-y,-y,z,t,u,v; -x,-x+y,z,t,u,v;


8624 P31m(00p,00r,00q)00.00s. equivalent group: P31m(00p,00r,00q)00.0s0. P31m(00p,00r,00q)00.0ss. P31m(00p,00r,00q)00.s00. P31m(00p,00r,00q)00.s0s. P31m(00p,00r,00q)00.ss0. P31m(00p,00r,00q)00.sss.

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,z,t,u,1/2+v; x-y,-y,z,t,u,1/2+v; -x,-x+y,z,t,u,1/2+v;

kklmni:i=2n -2kklmni:i=2n h-2hlmni:i=2n


8625 P31c(00p,00r,00q)000 equivalent group: P31c(00p,00r,00q)00.00s. P31c(00p,00r,00q)00.0s0. P31c(00p,00r,00q)00.0ss. P31c(00p,00r,00q)00.s00. P31c(00p,00r,00q)00.s0s. P31c(00p,00r,00q)00.ss0. P31c(00p,00r,00q)00.sss.

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,1/2+z,t,u,v; x-y,-y,1/2+z,t,u,v; -x,-x+y,1/2+z,t,u,v;

kklmni:l=2n -2kklmni:l=2n h-2hlmni:l=2n


8626 P31m(00p,00r,1/31/3q)000

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,z,t,u,v; -y,-x,z,t,u,v; -x+y,y,z,t,u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8627 P31m(00p,00r,1/31/3q)00.00s.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,z,t,u,1/2+v; -y,-x,z,t,u,1/2+v; -x+y,y,z,t,u,1/2+v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lmni:i=2n -kklmni:i=2n 0klmni:i=2n


8628 P31m(00p,00r,1/31/3q)00.0s0. equivalent group: P31m(00p,00r,1/31/3q)00.0ss. P31m(00p,00r,1/31/3q)00.s00. P31m(00p,00r,1/31/3q)00.s0s. P31m(00p,00r,1/31/3q)00.ss0. P31m(00p,00r,1/31/3q)00.sss.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,z,t,1/2+u,v; -y,-x,z,t,1/2+u,v; -x+y,y,z,t,1/2+u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lmni:n=2n -kklmni:n=2n 0klmni:n=2n


8629 P31c(00p,00r,1/31/3q)000 equivalent group: P31c(00p,00r,1/31/3q)00.00s. P31c(00p,00r,1/31/3q)00.0s0. P31c(00p,00r,1/31/3q)00.0ss. P31c(00p,00r,1/31/3q)00.s00. P31c(00p,00r,1/31/3q)00.s0s. P31c(00p,00r,1/31/3q)00.ss0. P31c(00p,00r,1/31/3q)00.sss.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,1/2+z,t,u,v; -y,-x,1/2+z,t,u,v; -x+y,y,1/2+z,t,u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lmni:l=2n -kklmni:l=2n 0klmni:l=2n


new symbol expected tgi: 0.333333313 0.166666657 0.166666687 new symbol expected tgi: 0.333333313 0.166666657 0.166666687 8630 P31m(-2ppq,p-2pq,ppq)t0m

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,-u,-t,v; x-y,-y,z,-t+u,u,v; -x,-x+y,z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8631 P31m(-2ppq,p-2pq,ppq)t0?

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,1/2+t-u,v; -x+y,-x,z,-t+u,1/2-t,v; y,x,z,5/6-u,1/6-t,1/6+v; x-y,-y,z,1/3-t+u,2/3+u,1/6+v; -x,-x+y,z,1/3+t,1/6+t-u,1/6+v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hhl-nni:2n+4n+i=6n -2kkl0ni:20+4n+i=6n h-2hlm0i:2m+0+i=6n


8632 P31c(-2ppq,p-2pq,ppq)t0m equivalent group: P31c(-2ppq,p-2pq,ppq)t0?

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,1/2+z,-u,-t,v; x-y,-y,1/2+z,-t+u,u,v; -x,-x+y,1/2+z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hhl-nni:l=2n -2kkl0ni:l=2n h-2hlm0i:l=2n


8633 P31m(-p2p0,-2pp0,00q)t0m

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,-u,-t,v; x-y,-y,z,-t+u,u,v; -x,-x+y,z,t,t-u,v;


8634 P31m(-p2p0,-2pp0,00q)t0c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,-u,-t,1/2+v; x-y,-y,z,-t+u,u,1/2+v; -x,-x+y,z,t,t-u,1/2+v;

hhl-nni:i=2n -2kkl0ni:i=2n h-2hlm0i:i=2n


8635 P31c(-p2p0,-2pp0,00q)t0m equivalent group: P31c(-p2p0,-2pp0,00q)t0c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,1/2+z,-u,-t,v; x-y,-y,1/2+z,-t+u,u,v; -x,-x+y,1/2+z,t,t-u,v;

hhl-nni:l=2n -2kkl0ni:l=2n h-2hlm0i:l=2n


8636 P31m(-p2p0,-2pp0,1/31/3q)t0m

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,z,-u,-t,v; -y,-x,z,-t+u,u,v; -x+y,y,z,t,t-u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8637 P31m(-p2p0,-2pp0,1/31/3q)t0c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,z,-u,-t,1/2+v; -y,-x,z,-t+u,u,1/2+v; -x+y,y,z,t,t-u,1/2+v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lm-mi:i=2n -kkl0ni:i=2n 0klm0i:i=2n


8638 P31c(-p2p0,-2pp0,1/31/3q)t0m equivalent group: P31c(-p2p0,-2pp0,1/31/3q)t0c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,1/2+z,-u,-t,v; -y,-x,1/2+z,-t+u,u,v; -x+y,y,1/2+z,t,t-u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lm-mi:l=2n -kkl0ni:l=2n 0klm0i:l=2n


new symbol expected tgi: 0.333332986 0.333333343 0. new symbol expected tgi: 0.333332986 0.333333343 0.5 8639 P31m(-p2p1/3,-2pp2/3,00q)t0m

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,-u,-t,v; x-y,-y,z,-t+u,u,v; -x,-x+y,z,t,t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8640 P31m(-p2p1/3,-2pp2/3,00q)t0c

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,-u,-t,1/2+v; x-y,-y,z,-t+u,u,1/2+v; -x,-x+y,z,t,t-u,1/2+v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hhl-nni:i=2n -2kkl0ni:i=2n h-2hlm0i:i=2n


8641 P31c(-p2p1/3,-2pp2/3,00q)t0? equivalent group: P31c(-p2p1/3,-2pp2/3,00q)t0?

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,5/6+z,2/3-u,1/3-t,v; x-y,-y,5/6+z,2/3-t+u,1/3+u,v; -x,-x+y,5/6+z,2/3+t,1/3+t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hhl-nni:5l-n+5n=6n -2kkl0ni:5l+0+2n=6n h-2hlm0i:5l+4m+20=6n


new symbol expected tgi: 0.333332986 0.333333343 0. new symbol expected tgi: 0.333332986 0.333333343 0.50000006 8642 P31m(-p2p1/3,-2pp2/3,1/31/3q)t0m

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,z,-u,-t,v; -y,-x,z,-t+u,u,v; -x+y,y,z,t,t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n


8643 P31m(-p2p1/3,-2pp2/3,1/31/3q)t0c

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,z,-u,-t,1/2+v; -y,-x,z,-t+u,u,1/2+v; -x+y,y,z,t,t-u,1/2+v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n h0lm-mi:i=2n -kkl0ni:i=2n 0klm0i:i=2n


8644 P31c(-p2p1/3,-2pp2/3,1/31/3q)t0? equivalent group: P31c(-p2p1/3,-2pp2/3,1/31/3q)t0?

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,5/6+z,2/3-u,1/3-t,v; -y,-x,5/6+z,2/3-t+u,1/3+u,v; -x+y,y,5/6+z,2/3+t,1/3+t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n h0lm-mi:5l+m-5m=6n -kkl0ni:5l+0+2n=6n 0klm0i:5l+4m+20=6n


8645 P31m(p00,0p0,00q)t0m

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,u,t,v; x-y,-y,z,t-u,-u,v; -x,-x+y,z,-t,-t+u,v;


8646 P31m(p00,0p0,00q)t0c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,z,u,t,1/2+v; x-y,-y,z,t-u,-u,1/2+v; -x,-x+y,z,-t,-t+u,1/2+v;

kklnni:i=2n -2kkl-2nni:i=2n h-2hlm-2mi:i=2n


8647 P31c(p00,0p0,00q)t0m equivalent group: P31c(p00,0p0,00q)t0c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,1/2+z,u,t,v; x-y,-y,1/2+z,t-u,-u,v; -x,-x+y,1/2+z,-t,-t+u,v;

kklnni:l=2n -2kkl-2nni:l=2n h-2hlm-2mi:l=2n


8648 P31m(p00,0p0,1/31/3q)t0m

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,z,u,t,v; -y,-x,z,t-u,-u,v; -x+y,y,z,-t,-t+u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8649 P31m(p00,0p0,1/31/3q)t0c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,z,u,t,1/2+v; -y,-x,z,t-u,-u,1/2+v; -x+y,y,z,-t,-t+u,1/2+v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lnni:i=2n -kkl-2nni:i=2n 0klm-2mi:i=2n


8650 P31c(p00,0p0,1/31/3q)t0m equivalent group: P31c(p00,0p0,1/31/3q)t0c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,1/2+z,u,t,v; -y,-x,1/2+z,t-u,-u,v; -x+y,y,1/2+z,-t,-t+u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n h0lnni:l=2n -kkl-2nni:l=2n 0klm-2mi:l=2n


8651 R-3m(00p,00r,00q)00

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,-v; -x,-x+y,-z,-t,-u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -y,-x,z,t,u,v; -x+y,y,z,t,u,v; x,x-y,z,t,u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8652 R-3m(00p,00r,00q)0.00s. equivalent group: R-3m(00p,00r,00q)0.0s0. R-3m(00p,00r,00q)0.0ss. R-3m(00p,00r,00q)0.s00. R-3m(00p,00r,00q)0.s0s. R-3m(00p,00r,00q)0.ss0. R-3m(00p,00r,00q)0.sss.

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; y,x,-z,-t,-u,1/2-v; x-y,-y,-z,-t,-u,1/2-v; -x,-x+y,-z,-t,-u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -y,-x,z,t,u,1/2+v; -x+y,y,z,t,u,1/2+v; x,x-y,z,t,u,1/2+v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n -kklmni:i=2n 0klmni:i=2n h0lmni:i=2n


8653 R-3c(00p,00r,00q)00 equivalent group: R-3c(00p,00r,00q)0.00s. R-3c(00p,00r,00q)0.0s0. R-3c(00p,00r,00q)0.0ss. R-3c(00p,00r,00q)0.s00. R-3c(00p,00r,00q)0.s0s. R-3c(00p,00r,00q)0.ss0. R-3c(00p,00r,00q)0.sss.

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; 1/2-y,1/2+x-y,z,t,u,v; -x+y,1/2-x,z,t,u,v; 1/2+y,1/2+x,1/2-z,-t,-u,-v; x-y,-y,1/2-z,-t,-u,-v; -x,1/2-x+y,1/2-z,-t,-u,-v; -x,-y,-z,-t,-u,-v; 1/2+y,1/2-x+y,-z,-t,-u,-v; x-y,1/2+x,-z,-t,-u,-v; 1/2-y,1/2-x,1/2+z,t,u,v; -x+y,y,1/2+z,t,u,v; x,1/2+x-y,1/2+z,t,u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n hh0000:h+h=2n h-2h0000:2h=2n -kklmni:l=2n 0klmni:l=2n h0lmni:l=2n


8654 R-3m(0-pq,p0q,-ppq)0m

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n


8655 R-3m(0-pq,p0q,-ppq)0c

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,1/2+t-u,v; -x+y,-x,z,-t+u,1/2-t,v; y,x,-z,5/6+u,1/6+t,1/6-v; x-y,-y,-z,1/3+t-u,2/3-u,1/6-v; -x,-x+y,-z,1/3-t,1/6-t+u,1/6-v; -x,-y,-z,1/3-t,2/3-u,2/3-v; y,-x+y,-z,5/6+u,1/6-t+u,2/3-v; x-y,x,-z,1/3+t-u,1/6+t,2/3-v; -y,-x,z,1/2-u,1/2-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,1/2+t-u,1/2+v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n hh0nn0:n+n=2n h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8656 R-3c(0-pq,p0q,-ppq)0m equivalent group: R-3c(0-pq,p0q,-ppq)0c

(000000;0002/31/31/3;0001/32/32/3;2/31/31/3000;2/31/31/32/31/31/3;2/31/31/31/32/32/3; 1/32/32/3000;1/32/32/32/31/31/3;1/32/32/31/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v; -x,-y,1/2-z,-t,-u,-v; y,-x+y,1/2-z,u,-t+u,-v; x-y,x,1/2-z,t-u,t,-v; -y,-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,x-y,1/2+z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n hklmni:2h+k+l=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+l+m+2n+2i=3n hklmni:h+2k+2l=3n hklmni:h+2k+2l+2m+n+i=3n hklmni:h+2k+2l+m+2n+2i=3n h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


8657 R-3m(pp0,-p2p0,00q)0m

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,t,t-u,-v; x-y,-y,-z,-u,-t,-v; -x,-x+y,-z,-t+u,u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -y,-x,z,-t,-t+u,v; -x+y,y,z,u,t,v; x,x-y,z,t-u,-u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8658 R-3m(pp0,-p2p0,00q)0c

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,t,t-u,1/2-v; x-y,-y,-z,-u,-t,1/2-v; -x,-x+y,-z,-t+u,u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -y,-x,z,-t,-t+u,1/2+v; -x+y,y,z,u,t,1/2+v; x,x-y,z,t-u,-u,1/2+v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n -kklm-2mi:i=2n 0klnni:i=2n h0l-2nni:i=2n


8659 R-3c(pp0,-p2p0,00q)0m equivalent group: R-3c(pp0,-p2p0,00q)0c

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; 1/2-y,1/2+x-y,z,-u,t-u,v; -x+y,1/2-x,z,-t+u,-t,v; 1/2+y,1/2+x,1/2-z,t,t-u,-v; x-y,-y,1/2-z,-u,-t,-v; -x,1/2-x+y,1/2-z,-t+u,u,-v; -x,-y,-z,-t,-u,-v; 1/2+y,1/2-x+y,-z,u,-t+u,-v; x-y,1/2+x,-z,t-u,t,-v; 1/2-y,1/2-x,1/2+z,-t,-t+u,v; -x+y,y,1/2+z,u,t,v; x,1/2+x-y,1/2+z,t-u,-u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n hh0m00:h+h=2n h-2h00n0:2h=2n -kklm-2mi:l=2n 0klnni:l=2n h0l-2nni:l=2n


8660 R-3m(p00,0p0,00q)0m

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n


8661 R-3m(p00,0p0,00q)0c

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; y,x,-z,u,t,1/2-v; x-y,-y,-z,t-u,-u,1/2-v; -x,-x+y,-z,-t,-t+u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -y,-x,z,-u,-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,t-u,1/2+v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8662 R-3c(p00,0p0,00q)0m equivalent group: R-3c(p00,0p0,00q)0c

(000000;2/31/31/3000;1/32/32/3000)

x,y,z,t,u,v; 1/2-y,1/2+x-y,z,-u,t-u,v; -x+y,1/2-x,z,-t+u,-t,v; 1/2+y,1/2+x,1/2-z,u,t,-v; x-y,-y,1/2-z,t-u,-u,-v; -x,1/2-x+y,1/2-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; 1/2+y,1/2-x+y,-z,u,-t+u,-v; x-y,1/2+x,-z,t-u,t,-v; 1/2-y,1/2-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,1/2+x-y,1/2+z,t,t-u,v;

hklmni:2h+k+l=3n hklmni:h+2k+2l=3n hh0nn0:h+h=2n h-2h0m-2m0:2h=2n h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


8663 P-31m(00p,00r,00q)000

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,-z,-t,-u,-v; -y,-x,-z,-t,-u,-v; -x+y,y,-z,-t,-u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x,-x+y,z,t,u,v; y,x,z,t,u,v; x-y,-y,z,t,u,v;


8664 P-31m(00p,00r,00q)00.00s. equivalent group: P-31m(00p,00r,00q)00.0s0. P-31m(00p,00r,00q)00.0ss. P-31m(00p,00r,00q)00.s00. P-31m(00p,00r,00q)00.s0s. P-31m(00p,00r,00q)00.ss0. P-31m(00p,00r,00q)00.sss.

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,-z,-t,-u,1/2-v; -y,-x,-z,-t,-u,1/2-v; -x+y,y,-z,-t,-u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x,-x+y,z,t,u,1/2+v; y,x,z,t,u,1/2+v; x-y,-y,z,t,u,1/2+v;

h-2hlmni:i=2n kklmni:i=2n -2kklmni:i=2n


8665 P-31c(00p,00r,00q)000 equivalent group: P-31c(00p,00r,00q)00.00s. P-31c(00p,00r,00q)00.0s0. P-31c(00p,00r,00q)00.0ss. P-31c(00p,00r,00q)00.s00. P-31c(00p,00r,00q)00.s0s. P-31c(00p,00r,00q)00.ss0. P-31c(00p,00r,00q)00.sss.

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x,x-y,1/2-z,-t,-u,-v; -y,-x,1/2-z,-t,-u,-v; -x+y,y,1/2-z,-t,-u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x,-x+y,1/2+z,t,u,v; y,x,1/2+z,t,u,v; x-y,-y,1/2+z,t,u,v;

h-2hlmni:l=2n kklmni:l=2n -2kklmni:l=2n


8666 P-31m(00p,00r,1/31/3q)000

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x-y,-y,-z,-t,-u,-v; -x,-x+y,-z,-t,-u,-v; y,x,-z,-t,-u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x+y,y,z,t,u,v; x,x-y,z,t,u,v; -y,-x,z,t,u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8667 P-31m(00p,00r,1/31/3q)00.00s.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x-y,-y,-z,-t,-u,1/2-v; -x,-x+y,-z,-t,-u,1/2-v; y,x,-z,-t,-u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x+y,y,z,t,u,1/2+v; x,x-y,z,t,u,1/2+v; -y,-x,z,t,u,1/2+v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0klmni:i=2n h0lmni:i=2n -kklmni:i=2n


8668 P-31m(00p,00r,1/31/3q)00.0s0. equivalent group: P-31m(00p,00r,1/31/3q)00.0ss. P-31m(00p,00r,1/31/3q)00.s00. P-31m(00p,00r,1/31/3q)00.s0s. P-31m(00p,00r,1/31/3q)00.ss0. P-31m(00p,00r,1/31/3q)00.sss.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x-y,-y,-z,-t,1/2-u,-v; -x,-x+y,-z,-t,1/2-u,-v; y,x,-z,-t,1/2-u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x+y,y,z,t,1/2+u,v; x,x-y,z,t,1/2+u,v; -y,-x,z,t,1/2+u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0klmni:n=2n h0lmni:n=2n -kklmni:n=2n


8669 P-31c(00p,00r,1/31/3q)000 equivalent group: P-31c(00p,00r,1/31/3q)00.00s. P-31c(00p,00r,1/31/3q)00.0s0. P-31c(00p,00r,1/31/3q)00.0ss. P-31c(00p,00r,1/31/3q)00.s00. P-31c(00p,00r,1/31/3q)00.s0s. P-31c(00p,00r,1/31/3q)00.ss0. P-31c(00p,00r,1/31/3q)00.sss.

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; x-y,-y,1/2-z,-t,-u,-v; -x,-x+y,1/2-z,-t,-u,-v; y,x,1/2-z,-t,-u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; -x+y,y,1/2+z,t,u,v; x,x-y,1/2+z,t,u,v; -y,-x,1/2+z,t,u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0klmni:l=2n h0lmni:l=2n -kklmni:l=2n


8670 P-31m(ppq,-2ppq,p-2pq)00m

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,-v; -y,-x,-z,t-u,-u,-v; -x+y,y,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-u,-t,v; y,x,z,-t+u,u,v; x-y,-y,z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8671 P-31m(ppq,-2ppq,p-2pq)00c

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,1/2+t-u,v; -x+y,-x,z,-t+u,1/2-t,v; x,x-y,-z,5/6+u,1/6+t,1/6-v; -y,-x,-z,1/3+t-u,2/3-u,1/6-v; -x+y,y,-z,1/3-t,1/6-t+u,1/6-v; -x,-y,-z,1/3-t,2/3-u,2/3-v; y,-x+y,-z,5/6+u,1/6-t+u,2/3-v; x-y,x,-z,1/3+t-u,1/6+t,2/3-v; -x,-x+y,z,1/2-u,1/2-t,1/2+v; y,x,z,-t+u,u,1/2+v; x-y,-y,z,t,1/2+t-u,1/2+v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n h00nn0:n+n=2n h-2hl-nni:i=2n kkl0ni:i=2n -2kklm0i:i=2n


8672 P-31c(ppq,-2ppq,p-2pq)00m equivalent group: P-31c(ppq,-2ppq,p-2pq)00c

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,-v; -y,-x,-z,t-u,-u,-v; -x+y,y,-z,-t,-t+u,-v; -x,-y,1/2-z,-t,-u,-v; y,-x+y,1/2-z,u,-t+u,-v; x-y,x,1/2-z,t-u,t,-v; -x,-x+y,1/2+z,-u,-t,v; y,x,1/2+z,-t+u,u,v; x-y,-y,1/2+z,t,t-u,v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n h-2hl-nni:l=2n kkl0ni:l=2n -2kklm0i:l=2n


8673 P-31m(p00,0p0,00q)00m

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,t,t-u,-v; -y,-x,-z,-u,-t,-v; -x+y,y,-z,-t+u,u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-t,-t+u,v; y,x,z,u,t,v; x-y,-y,z,t-u,-u,v;


8674 P-31m(p00,0p0,00q)00c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,t,t-u,1/2-v; -y,-x,-z,-u,-t,1/2-v; -x+y,y,-z,-t+u,u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-t,-t+u,1/2+v; y,x,z,u,t,1/2+v; x-y,-y,z,t-u,-u,1/2+v;

h-2hlm-2mi:i=2n kklnni:i=2n -2kkl-2nni:i=2n


8675 P-31c(p00,0p0,00q)00m equivalent group: P-31c(p00,0p0,00q)00c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,1/2-z,t,t-u,-v; -y,-x,1/2-z,-u,-t,-v; -x+y,y,1/2-z,-t+u,u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,1/2+z,-t,-t+u,v; y,x,1/2+z,u,t,v; x-y,-y,1/2+z,t-u,-u,v;

h-2hlm-2mi:l=2n kklnni:l=2n -2kkl-2nni:l=2n


8676 P-31m(p00,0p0,1/31/3q)00m

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,-z,t,t-u,-v; -x,-x+y,-z,-u,-t,-v; y,x,-z,-t+u,u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,z,-t,-t+u,v; x,x-y,z,u,t,v; -y,-x,z,t-u,-u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8677 P-31m(p00,0p0,1/31/3q)00c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,-z,t,t-u,1/2-v; -x,-x+y,-z,-u,-t,1/2-v; y,x,-z,-t+u,u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,z,-t,-t+u,1/2+v; x,x-y,z,u,t,1/2+v; -y,-x,z,t-u,-u,1/2+v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0klm-2mi:i=2n h0lnni:i=2n -kkl-2nni:i=2n


8678 P-31c(p00,0p0,1/31/3q)00m equivalent group: P-31c(p00,0p0,1/31/3q)00c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,1/2-z,t,t-u,-v; -x,-x+y,1/2-z,-u,-t,-v; y,x,1/2-z,-t+u,u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,1/2+z,-t,-t+u,v; x,x-y,1/2+z,u,t,v; -y,-x,1/2+z,t-u,-u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0klm-2mi:l=2n h0lnni:l=2n -kkl-2nni:l=2n


8679 P-31m(2p-p0,pp0,00q)00m

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,-v; -y,-x,-z,t-u,-u,-v; -x+y,y,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-u,-t,v; y,x,z,-t+u,u,v; x-y,-y,z,t,t-u,v;


8680 P-31m(2p-p0,pp0,00q)00c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,1/2-v; -y,-x,-z,t-u,-u,1/2-v; -x+y,y,-z,-t,-t+u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-u,-t,1/2+v; y,x,z,-t+u,u,1/2+v; x-y,-y,z,t,t-u,1/2+v;

h-2hl-nni:i=2n kkl0ni:i=2n -2kklm0i:i=2n


8681 P-31c(2p-p0,pp0,00q)00m equivalent group: P-31c(2p-p0,pp0,00q)00c

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,-v; -y,-x,-z,t-u,-u,-v; -x+y,y,-z,-t,-t+u,-v; -x,-y,1/2-z,-t,-u,-v; y,-x+y,1/2-z,u,-t+u,-v; x-y,x,1/2-z,t-u,t,-v; -x,-x+y,1/2+z,-u,-t,v; y,x,1/2+z,-t+u,u,v; x-y,-y,1/2+z,t,t-u,v;

h-2hl-nni:l=2n kkl0ni:l=2n -2kklm0i:l=2n


8682 P-31m(2p-p0,pp0,1/31/3q)00m

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,-z,u,t,-v; -x,-x+y,-z,t-u,-u,-v; y,x,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,z,-u,-t,v; x,x-y,z,-t+u,u,v; -y,-x,z,t,t-u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n


8683 P-31m(2p-p0,pp0,1/31/3q)00c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,-z,u,t,1/2-v; -x,-x+y,-z,t-u,-u,1/2-v; y,x,-z,-t,-t+u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,z,-u,-t,1/2+v; x,x-y,z,-t+u,u,1/2+v; -y,-x,z,t,t-u,1/2+v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0kl-nni:i=2n h0l0ni:i=2n -kklm0i:i=2n


8684 P-31c(2p-p0,pp0,1/31/3q)00m equivalent group: P-31c(2p-p0,pp0,1/31/3q)00c

(000000;1/32/30002/3;2/31/30001/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,1/2-z,u,t,-v; -x,-x+y,1/2-z,t-u,-u,-v; y,x,1/2-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,1/2+z,-u,-t,v; x,x-y,1/2+z,-t+u,u,v; -y,-x,1/2+z,t,t-u,v;

hklmni:h+2k+2i=3n hklmni:2h+k+i=3n 0kl-nni:l=2n h0l0ni:l=2n -kklm0i:l=2n


new symbol expected tgi: 0.333332986 0.333333313 0. new symbol expected tgi: 0.333332986 0.333333313 0.5 8685 P-31m(2p-p1/3,pp2/3,00q)00m

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,-v; -y,-x,-z,t-u,-u,-v; -x+y,y,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-u,-t,v; y,x,z,-t+u,u,v; x-y,-y,z,t,t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8686 P-31m(2p-p1/3,pp2/3,00q)00c

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x,x-y,-z,u,t,1/2-v; -y,-x,-z,t-u,-u,1/2-v; -x+y,y,-z,-t,-t+u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x,-x+y,z,-u,-t,1/2+v; y,x,z,-t+u,u,1/2+v; x-y,-y,z,t,t-u,1/2+v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n h-2hl-nni:i=2n kkl0ni:i=2n -2kklm0i:i=2n


8687 P-31c(2p-p1/3,pp2/3,00q)00? equivalent group: P-31c(2p-p1/3,pp2/3,00q)00?

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,1/2-u,t-u,v; -x+y,-x,z,1/2-t+u,1/2-t,v; x,x-y,1/6-z,5/6+u,1/6+t,-v; -y,-x,1/6-z,5/6+t-u,2/3-u,-v; -x+y,y,1/6-z,1/3-t,2/3-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,1/2+u,-t+u,-v; x-y,x,-z,1/2+t-u,1/2+t,-v; -x,-x+y,5/6+z,1/6-u,5/6-t,v; y,x,5/6+z,1/6-t+u,1/3+u,v; x-y,-y,5/6+z,2/3+t,1/3+t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n h00nn0:n+n=2n h-h0-2nn0:2n=2n 0k0m-2m0:2m=2n h-2hl-nni:5l-4n+2n=6n kkl0ni:5l+0+2n=6n -2kklm0i:5l+4m+50=6n


new symbol expected tgi: 0.333332986 0.333333313 0. new symbol expected tgi: 0.333332986 0.333333313 0.5 8688 P-31m(2p-p1/3,pp2/3,1/31/3q)00m

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,-z,u,t,-v; -x,-x+y,-z,t-u,-u,-v; y,x,-z,-t,-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,z,-u,-t,v; x,x-y,z,-t+u,u,v; -y,-x,z,t,t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n


8689 P-31m(2p-p1/3,pp2/3,1/31/3q)00c

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; x-y,-y,-z,u,t,1/2-v; -x,-x+y,-z,t-u,-u,1/2-v; y,x,-z,-t,-t+u,1/2-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; -x+y,y,z,-u,-t,1/2+v; x,x-y,z,-t+u,u,1/2+v; -y,-x,z,t,t-u,1/2+v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n 0kl-nni:i=2n h0l0ni:i=2n -kklm0i:i=2n


8690 P-31c(2p-p1/3,pp2/3,1/31/3q)00? equivalent group: P-31c(2p-p1/3,pp2/3,1/31/3q)00?

(000000;001/32/31/30;002/31/32/30;1/32/30002/3;1/32/31/32/31/32/3;1/32/32/31/32/32/3; 2/31/30001/3;2/31/31/32/31/31/3;2/31/32/31/32/31/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,t-u,v; -x+y,-x,z,1/2-t+u,1/2-t,v; x-y,-y,1/6-z,5/6+u,1/6+t,-v; -x,-x+y,1/6-z,5/6+t-u,2/3-u,-v; y,x,1/6-z,1/3-t,2/3-t+u,-v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,1/2+u,-t+u,-v; x-y,x,-z,1/2+t-u,1/2+t,-v; -x+y,y,5/6+z,1/6-u,5/6-t,v; x,x-y,5/6+z,1/6-t+u,1/3+u,v; -y,-x,5/6+z,2/3+t,1/3+t-u,v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n hklmni:h+2k+2i=3n hklmni:h+2k+l+2m+n+2i=3n hklmni:h+2k+2l+m+2n+2i=3n hklmni:2h+k+i=3n hklmni:2h+k+l+2m+n+i=3n hklmni:2h+k+2l+m+2n+i=3n -2kk0nn0:n+n=2n h-2h0-2nn0:2n=2n hh0m-2m0:2m=2n 0kl-nni:5l-4n+2n=6n h0l0ni:5l+0+2n=6n -kklm0i:5l+4m+50=6n


8691 P-3m1(00p,00r,00q)000

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,z,t,u,v; -x+y,y,z,t,u,v; x,x-y,z,t,u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; y,x,-z,-t,-u,-v; x-y,-y,-z,-t,-u,-v; -x,-x+y,-z,-t,-u,-v;


8692 P-3m1(00p,00r,00q)0.00s.0 equivalent group: P-3m1(00p,00r,00q)0.0s0.0 P-3m1(00p,00r,00q)0.0ss.0 P-3m1(00p,00r,00q)0.s00.0 P-3m1(00p,00r,00q)0.s0s.0 P-3m1(00p,00r,00q)0.ss0.0 P-3m1(00p,00r,00q)0.sss.0

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,z,t,u,1/2+v; -x+y,y,z,t,u,1/2+v; x,x-y,z,t,u,1/2+v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; y,x,-z,-t,-u,1/2-v; x-y,-y,-z,-t,-u,1/2-v; -x,-x+y,-z,-t,-u,1/2-v;

-kklmni:i=2n 0klmni:i=2n h0lmni:i=2n


8693 P-3c1(00p,00r,00q)000 equivalent group: P-3c1(00p,00r,00q)0.00s.0 P-3c1(00p,00r,00q)0.0s0.0 P-3c1(00p,00r,00q)0.0ss.0 P-3c1(00p,00r,00q)0.s00.0 P-3c1(00p,00r,00q)0.s0s.0 P-3c1(00p,00r,00q)0.ss0.0 P-3c1(00p,00r,00q)0.sss.0

x,y,z,t,u,v; -y,x-y,z,t,u,v; -x+y,-x,z,t,u,v; -y,-x,1/2+z,t,u,v; -x+y,y,1/2+z,t,u,v; x,x-y,1/2+z,t,u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,-t,-u,-v; x-y,x,-z,-t,-u,-v; y,x,1/2-z,-t,-u,-v; x-y,-y,1/2-z,-t,-u,-v; -x,-x+y,1/2-z,-t,-u,-v;

-kklmni:l=2n 0klmni:l=2n h0lmni:l=2n


new symbol expected tgi: 0.333333313 0.333332986 0.166666672 new symbol expected tgi: 0.333333313 0.333332986 0.166666672 8694 P-3m1(0-pq,p0q,-ppq)0m0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n


8695 P-3c1(0-pq,p0q,-ppq)0m0 equivalent group: P-3c1(0-pq,p0q,-ppq)0?0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,x-y,1/2+z,t,t-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,1/2-z,u,t,-v; x-y,-y,1/2-z,t-u,-u,-v; -x,-x+y,1/2-z,-t,-t+u,-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


8696 P-3m1(0-pq,p0q,-ppq)0?0

(000000;0002/31/31/3;0001/32/32/3)

x,y,z,t,u,v; -y,x-y,z,1/2-u,1/2+t-u,v; -x+y,-x,z,-t+u,1/2-t,v; -y,-x,z,5/6-u,1/6-t,1/6+v; -x+y,y,z,1/3-t+u,2/3+u,1/6+v; x,x-y,z,1/3+t,1/6+t-u,1/6+v; -x,-y,-z,1/3-t,2/3-u,2/3-v; y,-x+y,-z,5/6+u,1/6-t+u,2/3-v; x-y,x,-z,1/3+t-u,1/6+t,2/3-v; y,x,-z,1/2+u,1/2+t,1/2-v; x-y,-y,-z,t-u,-u,1/2-v; -x,-x+y,-z,-t,1/2-t+u,1/2-v;

hklmni:2m+n+i=3n hklmni:m+2n+2i=3n h-hl-nni:2n+4n+i=6n 0kl0ni:20+4n+i=6n h0lm0i:2m+0+i=6n hh0nn0:n+n=2n h-2h0m-2m0:2m=2n


8697 P-3m1(-p-p0,p-2p0,00q)0m0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-t,-t+u,v; -x+y,y,z,u,t,v; x,x-y,z,t-u,-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,t,t-u,-v; x-y,-y,-z,-u,-t,-v; -x,-x+y,-z,-t+u,u,-v;


8698 P-3c1(-p-p0,p-2p0,00q)0m0 equivalent group: P-3c1(-p-p0,p-2p0,00q)0c0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,-t,-t+u,v; -x+y,y,1/2+z,u,t,v; x,x-y,1/2+z,t-u,-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,1/2-z,t,t-u,-v; x-y,-y,1/2-z,-u,-t,-v; -x,-x+y,1/2-z,-t+u,u,-v;

-kklm-2mi:l=2n 0klnni:l=2n h0l-2nni:l=2n


8699 P-3m1(-p-p0,p-2p0,00q)0c0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-t,-t+u,1/2+v; -x+y,y,z,u,t,1/2+v; x,x-y,z,t-u,-u,1/2+v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,t,t-u,1/2-v; x-y,-y,-z,-u,-t,1/2-v; -x,-x+y,-z,-t+u,u,1/2-v;

-kklm-2mi:i=2n 0klnni:i=2n h0l-2nni:i=2n


8700 P-3m1(p00,0p0,00q)0m0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;


8701 P-3m1(p00,0p0,00q)0c0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,t-u,1/2+v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,u,t,1/2-v; x-y,-y,-z,t-u,-u,1/2-v; -x,-x+y,-z,-t,-t+u,1/2-v;

h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8702 P-3c1(p00,0p0,00q)0m0 equivalent group: P-3c1(p00,0p0,00q)0c0

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,1/2+z,-u,-t,v; -x+y,y,1/2+z,-t+u,u,v; x,x-y,1/2+z,t,t-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,1/2-z,u,t,-v; x-y,-y,1/2-z,t-u,-u,-v; -x,-x+y,1/2-z,-t,-t+u,-v;

h-hl-nni:l=2n 0kl0ni:l=2n h0lm0i:l=2n


new symbol expected tgi: 0.166666672 0.333333343 0. new symbol expected tgi: 0.166666672 0.333333343 0.5 8703 P-3m1(p01/3,0p2/3,00q)0m0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,v; -x+y,y,z,-t+u,u,v; x,x-y,z,t,t-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,u,t,-v; x-y,-y,-z,t-u,-u,-v; -x,-x+y,-z,-t,-t+u,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n


8704 P-3m1(p01/3,0p2/3,00q)0c0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,z,-u,-t,1/2+v; -x+y,y,z,-t+u,u,1/2+v; x,x-y,z,t,t-u,1/2+v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,-z,u,t,1/2-v; x-y,-y,-z,t-u,-u,1/2-v; -x,-x+y,-z,-t,-t+u,1/2-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n h-hl-nni:i=2n 0kl0ni:i=2n h0lm0i:i=2n


8705 P-3c1(p01/3,0p2/3,00q)0?0 equivalent group: P-3c1(p01/3,0p2/3,00q)0?0

(000000;001/32/31/30;002/31/32/30)

x,y,z,t,u,v; -y,x-y,z,-u,t-u,v; -x+y,-x,z,-t+u,-t,v; -y,-x,5/6+z,2/3-u,1/3-t,v; -x+y,y,5/6+z,2/3-t+u,1/3+u,v; x,x-y,5/6+z,2/3+t,1/3+t-u,v; -x,-y,-z,-t,-u,-v; y,-x+y,-z,u,-t+u,-v; x-y,x,-z,t-u,t,-v; y,x,1/6-z,1/3+u,2/3+t,-v; x-y,-y,1/6-z,1/3+t-u,2/3-u,-v; -x,-x+y,1/6-z,1/3-t,2/3-t+u,-v;

hklmni:l+2m+n=3n hklmni:2l+m+2n=3n h-hl-nni:5l-n+5n=6n 0kl0ni:5l+0+2n=6n h0lm0i:5l+4m+20=6n hh0nn0:n+n=2n h-2h0m-2m0:2m=2n