omega:=2+3*sqrt(2):

F25:=[0, 1, 2, 3, 4, sqrt(2), 1+sqrt(2), 2+sqrt(2), 3+sqrt(2), 4+sqrt(2), 2*sqrt(2), 1+2*sqrt(2), 2+2*sqrt(2), 3+2*sqrt(2), 4+2*sqrt(2), 3*sqrt(2), 1+3*sqrt(2), 2+3*sqrt(2), 3+3*sqrt(2), 4+3*sqrt(2), 4*sqrt(2), 1+4*sqrt(2), 2+4*sqrt(2), 3+4*sqrt(2), 4+4*sqrt(2)];

DefE:=y^2+4*x^3+1:

addE:=[(3*(2*x1^2*x2+2*x1*x2^2+1+y1*y2))/(x1+4*x2)^2, 
(2*y1*x1*x2^2+4*y1*x2^3+y2*x1^3+3*y2*x1^2*x2+4*y1+y2)/(x1+4*x2)^3]:

gammaE:=[(2+3*sqrt(2))*x, 4*y]:

phiE2:=[(2*x^2+3*x+1)/(x+4), 2*sqrt(2)*y*(x^2+3*x+3)/(x+4)^2]:

gammaEphiE2 := [(x+3)*(x+1)*(4+sqrt(2))/(x+4), (3*(x+3*sqrt(2)+4))*(x+2*sqrt(2)+4)*y*sqrt(2)/(x+4)^2]:

GramSA:=[[0, 1, 1, 1, 2, 2], [1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 3, 4], [1, 1, 1, 0, 2, 3], [2, 1, 3, 2, 0, 2], [2, 1, 4, 3, 2, 0]]:

GramSAtilde := [[0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 1, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 3, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]:


A2pts:=[[infinity, infinity], [infinity, 1], [infinity, 2+3*sqrt(2)], [infinity, 2+2*sqrt(2)], [1, infinity], [1, 1], [1, 2+3*sqrt(2)], [1, 2+2*sqrt(2)], [2+3*sqrt(2), infinity], [2+3*sqrt(2), 1], [2+3*sqrt(2), 2+3*sqrt(2)], [2+3*sqrt(2), 2+2*sqrt(2)], [2+2*sqrt(2), infinity], [2+2*sqrt(2), 1], [2+2*sqrt(2), 2+3*sqrt(2)], [2+2*sqrt(2), 2+2*sqrt(2)]]:

defeqE:=v^2+4*u^3+1:
defeqF:=v^2+4*u^6+1:
defeqG:=v^2+4*sqrt(2)*(u^12+2*u^8+2*u^4+1):



phiE2uv:=[(2*u^2+3*u+1)/(u+4), 2*sqrt(2)*v*(u^2+3*u+3)/(u+4)^2]:
phiF2:=[u^2, v];
phiF3:=[2*u/(u^3+4), v*(2*u^3+1)/(u^3+4)^2];
phiG3:=[(4*sqrt(2)*(u+3*sqrt(2)+4)^2*(u+2*sqrt(2)+4))/((u+sqrt(2))*(u+4*sqrt(2)+1)*(u+3*sqrt(2)+2)), (4+4*sqrt(2))*v/((u+sqrt(2))*(u+4*sqrt(2)+1)*(u+3*sqrt(2)+2))^2];
phiG4:=[(u^4+(1+4*sqrt(2))*u^2+2)/(u^4+(1+2*sqrt(2))*u^2+(4+sqrt(2))), u*v/(u^4+(1+2*sqrt(2))*u^2+(4+sqrt(2)))^2];

gammaEuv:=[(2+3*sqrt(2))*u, 4*v]:
hF:=[(2*sqrt(2)*u+4)/(u+2*sqrt(2)), v/(u+2*sqrt(2))^3];
hF2:=[(2*sqrt(2)*u+1)/(u+3*sqrt(2)), v/(u+3*sqrt(2))^3];
hG:=[(2*u+3)/(u+1), 4*v/(u+1)^6];


LL[0,1,1] := [F, [[u^2, v], [3*(u+2^(1/2))^2/(u+2*2^(1/2))^2, v/(u+2*2^(1/2))^3]]]:
LL[0,1,2] := [F, [[u^2, v], [2/(u+3*2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2))*2^(1/2), 3*(u+2*2^(1/2))*v/(u+3*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2]]]:
LL[0,1,3] := [F, [[u^2, v], [1/(u+1)*(u+4*2^(1/2)+2)*(u+4*2^(1/2)+4)/(u+2*2^(1/2)+2)*(1+2^(1/2)), (u+2*2^(1/2))/(u+2*2^(1/2)+2)^2/(u+1)^2*v]]]:
LL[0,1,4] := [F, [[u^2, v], [1/(u+2*2^(1/2)+3)*(u+4*2^(1/2)+1)*(u+4*2^(1/2)+3)/(u+4)*(1+4*2^(1/2)), 1/(u+4)^2/(u+2*2^(1/2)+3)^2*(u+2*2^(1/2))*v]]]:
LL[0,1,5] := [F, [[(u+3*2^(1/2))/(u+4)*(u+2*2^(1/2))/(u+1), 2*v/(u+4)^2/(u+1)^2], [3*(u+2^(1/2))^2/(u+2*2^(1/2))^2, v/(u+2*2^(1/2))^3]]]:
LL[0,1,6] := [F, [[(u+3*2^(1/2))/(u+4)*(u+2*2^(1/2))/(u+1), 2*v/(u+4)^2/(u+1)^2], [2/(u+3*2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2))*2^(1/2), 3*(u+2*2^(1/2))*v/(u+3*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2]]]:
LL[0,1,7] := [F, [[(u+3*2^(1/2))/(u+4)*(u+2*2^(1/2))/(u+1), 2*v/(u+4)^2/(u+1)^2], [1/(u+1)*(u+4*2^(1/2)+2)*(u+4*2^(1/2)+4)/(u+2*2^(1/2)+2)*(1+2^(1/2)), (u+2*2^(1/2))/(u+2*2^(1/2)+2)^2/(u+1)^2*v]]]:
LL[0,1,8] := [F, [[(u+3*2^(1/2))/(u+4)*(u+2*2^(1/2))/(u+1), 2*v/(u+4)^2/(u+1)^2], [1/(u+2*2^(1/2)+3)*(u+4*2^(1/2)+1)*(u+4*2^(1/2)+3)/(u+4)*(1+4*2^(1/2)), 1/(u+4)^2/(u+2*2^(1/2)+3)^2*(u+2*2^(1/2))*v]]]:
LL[0,1,9] := [F, [[(u+2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2)+3)/(u+2*2^(1/2)+2)*(2+3*2^(1/2)), 1/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2*v*(4+4*2^(1/2))], [3*(u+2^(1/2))^2/(u+2*2^(1/2))^2, v/(u+2*2^(1/2))^3]]]:
LL[0,1,10] := [F, [[(u+2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2)+3)/(u+2*2^(1/2)+2)*(2+3*2^(1/2)), 1/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2*v*(4+4*2^(1/2))], [2/(u+3*2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2))*2^(1/2), 3*(u+2*2^(1/2))*v/(u+3*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2]]]:
LL[0,1,11] := [F, [[(u+2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2)+3)/(u+2*2^(1/2)+2)*(2+3*2^(1/2)), 1/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2*v*(4+4*2^(1/2))], [1/(u+1)*(u+4*2^(1/2)+2)*(u+4*2^(1/2)+4)/(u+2*2^(1/2)+2)*(1+2^(1/2)), (u+2*2^(1/2))/(u+2*2^(1/2)+2)^2/(u+1)^2*v]]]:
LL[0,1,12] := [F, [[(u+2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2)+3)/(u+2*2^(1/2)+2)*(2+3*2^(1/2)), 1/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2*v*(4+4*2^(1/2))], [1/(u+2*2^(1/2)+3)*(u+4*2^(1/2)+1)*(u+4*2^(1/2)+3)/(u+4)*(1+4*2^(1/2)), 1/(u+4)^2/(u+2*2^(1/2)+3)^2*(u+2*2^(1/2))*v]]]:
LL[0,1,13] := [F, [[1/(u+2*2^(1/2)+3)/(u+3*2^(1/2)+2)*(u+4*2^(1/2)+2)*(u+2^(1/2)+3)*(2+2*2^(1/2)), 1/(u+2*2^(1/2)+3)^2/(u+3*2^(1/2)+2)^2*v*(4+2^(1/2))], [3*(u+2^(1/2))^2/(u+2*2^(1/2))^2, v/(u+2*2^(1/2))^3]]]:
LL[0,1,14] := [F, [[1/(u+2*2^(1/2)+3)/(u+3*2^(1/2)+2)*(u+4*2^(1/2)+2)*(u+2^(1/2)+3)*(2+2*2^(1/2)), 1/(u+2*2^(1/2)+3)^2/(u+3*2^(1/2)+2)^2*v*(4+2^(1/2))], [2/(u+3*2^(1/2)+2)/(u+3*2^(1/2)+3)*(u+4*2^(1/2))*2^(1/2), 3*(u+2*2^(1/2))*v/(u+3*2^(1/2)+2)^2/(u+3*2^(1/2)+3)^2]]]:
LL[0,1,15] := [F, [[1/(u+2*2^(1/2)+3)/(u+3*2^(1/2)+2)*(u+4*2^(1/2)+2)*(u+2^(1/2)+3)*(2+2*2^(1/2)), 1/(u+2*2^(1/2)+3)^2/(u+3*2^(1/2)+2)^2*v*(4+2^(1/2))], [1/(u+1)*(u+4*2^(1/2)+2)*(u+4*2^(1/2)+4)/(u+2*2^(1/2)+2)*(1+2^(1/2)), (u+2*2^(1/2))/(u+2*2^(1/2)+2)^2/(u+1)^2*v]]]:
LL[0,1,16] := [F, [[1/(u+2*2^(1/2)+3)/(u+3*2^(1/2)+2)*(u+4*2^(1/2)+2)*(u+2^(1/2)+3)*(2+2*2^(1/2)), 1/(u+2*2^(1/2)+3)^2/(u+3*2^(1/2)+2)^2*v*(4+2^(1/2))], [1/(u+2*2^(1/2)+3)*(u+4*2^(1/2)+1)*(u+4*2^(1/2)+3)/(u+4)*(1+4*2^(1/2)), 1/(u+4)^2/(u+2*2^(1/2)+3)^2*(u+2*2^(1/2))*v]]]:
LL[0,2,1] := [F, [[2*u/(u^3+4), v*(2*u^3+1)/(u^3+4)^2], [(u+3*2^(1/2))^2*(u+4*2^(1/2))/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)/(u+1)*(3+4*2^(1/2)), (u+2*2^(1/2)+4)*(u+3)*(u+4*2^(1/2)+2)*v/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+1)^2*(1+3*2^(1/2))]]]:
LL[0,2,2] := [F, [[2*u/(u^3+4), v*(2*u^3+1)/(u^3+4)^2], [(u^3+4*u^2*2^(1/2)+(2+3*2^(1/2))*u+4*2^(1/2))/(u+3)^2/(u+2*2^(1/2)+3)*(4+4*2^(1/2)), (u+2*2^(1/2)+4)/(u+3)^3*(u+4*2^(1/2)+2)*v/(u+2*2^(1/2)+3)^2*2^(1/2)]]]:
LL[0,2,3] := [F, [[2*u/(u^3+4), v*(2*u^3+1)/(u^3+4)^2], [1/(u+3*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u^2+2*u+1+2^(1/2))/(u+4*2^(1/2)+2)^2*(3+3*2^(1/2)), 2*(u+3)/(u+4*2^(1/2)+2)^3/(u+3*2^(1/2)+2)^2*(u+2*2^(1/2)+4)*v*2^(1/2)]]]:
LL[0,2,4] := [F, [[2*u/(u^3+4), v*(2*u^3+1)/(u^3+4)^2], [(u^3+(4+2^(1/2))*u^2+3*u+2)/(u+2*2^(1/2)+4)^2/(u+4)*(2+2^(1/2)), (u+3)/(u+2*2^(1/2)+4)^3/(u+4)^2*(u+4*2^(1/2)+2)*v*(4+3*2^(1/2))]]]:
LL[0,2,5] := [F, [[3/(u+1)/(u+2)^2*(u^3+u+4), 4*(u+4*2^(1/2)+4)/(u+2)^3*(u+4+2^(1/2))*v/(u+1)^2], [(u+3*2^(1/2))^2*(u+4*2^(1/2))/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)/(u+1)*(3+4*2^(1/2)), (u+2*2^(1/2)+4)*(u+3)*(u+4*2^(1/2)+2)*v/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+1)^2*(1+3*2^(1/2))]]]:
LL[0,2,6] := [F, [[3/(u+1)/(u+2)^2*(u^3+u+4), 4*(u+4*2^(1/2)+4)/(u+2)^3*(u+4+2^(1/2))*v/(u+1)^2], [(u^3+4*u^2*2^(1/2)+(2+3*2^(1/2))*u+4*2^(1/2))/(u+3)^2/(u+2*2^(1/2)+3)*(4+4*2^(1/2)), (u+2*2^(1/2)+4)/(u+3)^3*(u+4*2^(1/2)+2)*v/(u+2*2^(1/2)+3)^2*2^(1/2)]]]:
LL[0,2,7] := [F, [[3/(u+1)/(u+2)^2*(u^3+u+4), 4*(u+4*2^(1/2)+4)/(u+2)^3*(u+4+2^(1/2))*v/(u+1)^2], [1/(u+3*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u^2+2*u+1+2^(1/2))/(u+4*2^(1/2)+2)^2*(3+3*2^(1/2)), 2*(u+3)/(u+4*2^(1/2)+2)^3/(u+3*2^(1/2)+2)^2*(u+2*2^(1/2)+4)*v*2^(1/2)]]]:
LL[0,2,8] := [F, [[3/(u+1)/(u+2)^2*(u^3+u+4), 4*(u+4*2^(1/2)+4)/(u+2)^3*(u+4+2^(1/2))*v/(u+1)^2], [(u^3+(4+2^(1/2))*u^2+3*u+2)/(u+2*2^(1/2)+4)^2/(u+4)*(2+2^(1/2)), (u+3)/(u+2*2^(1/2)+4)^3/(u+4)^2*(u+4*2^(1/2)+2)*v*(4+3*2^(1/2))]]]:
LL[0,2,9] := [F, [[1/(u+4+2^(1/2))^2*(u^3+u*(2+2*2^(1/2))+4)/(u+3*2^(1/2)+2)*(1+4*2^(1/2)), 4*(u+4*2^(1/2)+4)/(u+3*2^(1/2)+2)^2*(u+2)/(u+4+2^(1/2))^3*v], [(u+3*2^(1/2))^2*(u+4*2^(1/2))/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)/(u+1)*(3+4*2^(1/2)), (u+2*2^(1/2)+4)*(u+3)*(u+4*2^(1/2)+2)*v/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+1)^2*(1+3*2^(1/2))]]]:
LL[0,2,10] := [F, [[1/(u+4+2^(1/2))^2*(u^3+u*(2+2*2^(1/2))+4)/(u+3*2^(1/2)+2)*(1+4*2^(1/2)), 4*(u+4*2^(1/2)+4)/(u+3*2^(1/2)+2)^2*(u+2)/(u+4+2^(1/2))^3*v], [(u^3+4*u^2*2^(1/2)+(2+3*2^(1/2))*u+4*2^(1/2))/(u+3)^2/(u+2*2^(1/2)+3)*(4+4*2^(1/2)), (u+2*2^(1/2)+4)/(u+3)^3*(u+4*2^(1/2)+2)*v/(u+2*2^(1/2)+3)^2*2^(1/2)]]]:
LL[0,2,11] := [F, [[1/(u+4+2^(1/2))^2*(u^3+u*(2+2*2^(1/2))+4)/(u+3*2^(1/2)+2)*(1+4*2^(1/2)), 4*(u+4*2^(1/2)+4)/(u+3*2^(1/2)+2)^2*(u+2)/(u+4+2^(1/2))^3*v], [1/(u+3*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u^2+2*u+1+2^(1/2))/(u+4*2^(1/2)+2)^2*(3+3*2^(1/2)), 2*(u+3)/(u+4*2^(1/2)+2)^3/(u+3*2^(1/2)+2)^2*(u+2*2^(1/2)+4)*v*2^(1/2)]]]:
LL[0,2,12] := [F, [[1/(u+4+2^(1/2))^2*(u^3+u*(2+2*2^(1/2))+4)/(u+3*2^(1/2)+2)*(1+4*2^(1/2)), 4*(u+4*2^(1/2)+4)/(u+3*2^(1/2)+2)^2*(u+2)/(u+4+2^(1/2))^3*v], [(u^3+(4+2^(1/2))*u^2+3*u+2)/(u+2*2^(1/2)+4)^2/(u+4)*(2+2^(1/2)), (u+3)/(u+2*2^(1/2)+4)^3/(u+4)^2*(u+4*2^(1/2)+2)*v*(4+3*2^(1/2))]]]:
LL[0,2,13] := [F, [[1/(u+4*2^(1/2)+4)^2/(u+2*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u+4)*(1+2^(1/2)), 4*(u+4+2^(1/2))/(u+2*2^(1/2)+2)^2/(u+4*2^(1/2)+4)^3*(u+2)*v], [(u+3*2^(1/2))^2*(u+4*2^(1/2))/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)/(u+1)*(3+4*2^(1/2)), (u+2*2^(1/2)+4)*(u+3)*(u+4*2^(1/2)+2)*v/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+1)^2*(1+3*2^(1/2))]]]:
LL[0,2,14] := [F, [[1/(u+4*2^(1/2)+4)^2/(u+2*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u+4)*(1+2^(1/2)), 4*(u+4+2^(1/2))/(u+2*2^(1/2)+2)^2/(u+4*2^(1/2)+4)^3*(u+2)*v], [(u^3+4*u^2*2^(1/2)+(2+3*2^(1/2))*u+4*2^(1/2))/(u+3)^2/(u+2*2^(1/2)+3)*(4+4*2^(1/2)), (u+2*2^(1/2)+4)/(u+3)^3*(u+4*2^(1/2)+2)*v/(u+2*2^(1/2)+3)^2*2^(1/2)]]]:
LL[0,2,15] := [F, [[1/(u+4*2^(1/2)+4)^2/(u+2*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u+4)*(1+2^(1/2)), 4*(u+4+2^(1/2))/(u+2*2^(1/2)+2)^2/(u+4*2^(1/2)+4)^3*(u+2)*v], [1/(u+3*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u^2+2*u+1+2^(1/2))/(u+4*2^(1/2)+2)^2*(3+3*2^(1/2)), 2*(u+3)/(u+4*2^(1/2)+2)^3/(u+3*2^(1/2)+2)^2*(u+2*2^(1/2)+4)*v*2^(1/2)]]]:
LL[0,2,16] := [F, [[1/(u+4*2^(1/2)+4)^2/(u+2*2^(1/2)+2)*(u^3+(2+3*2^(1/2))*u+4)*(1+2^(1/2)), 4*(u+4+2^(1/2))/(u+2*2^(1/2)+2)^2/(u+4*2^(1/2)+4)^3*(u+2)*v], [(u^3+(4+2^(1/2))*u^2+3*u+2)/(u+2*2^(1/2)+4)^2/(u+4)*(2+2^(1/2)), (u+3)/(u+2*2^(1/2)+4)^3/(u+4)^2*(u+4*2^(1/2)+2)*v*(4+3*2^(1/2))]]]:
LL[1,0,1] := [G, [[(u^4+(1+4*2^(1/2))*u^2+2)/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2)), u*v/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2))^2], [4*2^(1/2)*(u+3*2^(1/2)+4)^2*(u+2*2^(1/2)+4)/(u+2^(1/2))/(u+4*2^(1/2)+1)/(u+3*2^(1/2)+2), (4+4*2^(1/2))*v/(u+2^(1/2))^2/(u+4*2^(1/2)+1)^2/(u+3*2^(1/2)+2)^2]]]:
LL[1,0,2] := [G, [[(u^4+(1+4*2^(1/2))*u^2+2)/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2)), u*v/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2))^2], [(u+2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+3*2^(1/2))/(u+4*2^(1/2)+4)*(u+4*2^(1/2)+3)^2*(4+2*2^(1/2)), v/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2))^2/(u+4*2^(1/2)+4)^2*(2+3*2^(1/2))]]]:
LL[1,0,3] := [G, [[2/(u+4+2^(1/2))/(u+4*2^(1/2)+1)*(u^4+(1+2^(1/2))*u^2+4*2^(1/2))*2^(1/2), 4*u*v/(u+4+2^(1/2))^2/(u+4*2^(1/2)+1)^2], [4*2^(1/2)*(u+3*2^(1/2)+4)^2*(u+2*2^(1/2)+4)/(u+2^(1/2))/(u+4*2^(1/2)+1)/(u+3*2^(1/2)+2), (4+4*2^(1/2))*v/(u+2^(1/2))^2/(u+4*2^(1/2)+1)^2/(u+3*2^(1/2)+2)^2]]]:
LL[1,0,4] := [G, [[2/(u+4+2^(1/2))/(u+4*2^(1/2)+1)*(u^4+(1+2^(1/2))*u^2+4*2^(1/2))*2^(1/2), 4*u*v/(u+4+2^(1/2))^2/(u+4*2^(1/2)+1)^2], [(u+2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+3*2^(1/2))/(u+4*2^(1/2)+4)*(u+4*2^(1/2)+3)^2*(4+2*2^(1/2)), v/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2))^2/(u+4*2^(1/2)+4)^2*(2+3*2^(1/2))]]]:
LL[1,0,5] := [G, [[4*2^(1/2)*(u+3*2^(1/2)+4)^2*(u+2*2^(1/2)+4)/(u+2^(1/2))/(u+4*2^(1/2)+1)/(u+3*2^(1/2)+2), (4+4*2^(1/2))*v/(u+2^(1/2))^2/(u+4*2^(1/2)+1)^2/(u+3*2^(1/2)+2)^2], [(u^4+(1+4*2^(1/2))*u^2+2)/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2)), 4*u*v/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2))^2]]]:
LL[1,0,6] := [G, [[(u+2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+3*2^(1/2))/(u+4*2^(1/2)+4)*(u+4*2^(1/2)+3)^2*(4+2*2^(1/2)), v/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2))^2/(u+4*2^(1/2)+4)^2*(2+3*2^(1/2))], [(u^4+(1+4*2^(1/2))*u^2+2)/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2)), 4*u*v/(u^4+(1+2*2^(1/2))*u^2+4+2^(1/2))^2]]]:
LL[1,0,7] := [G, [[4*2^(1/2)*(u+3*2^(1/2)+4)^2*(u+2*2^(1/2)+4)/(u+2^(1/2))/(u+4*2^(1/2)+1)/(u+3*2^(1/2)+2), (4+4*2^(1/2))*v/(u+2^(1/2))^2/(u+4*2^(1/2)+1)^2/(u+3*2^(1/2)+2)^2], [2/(u+4+2^(1/2))/(u+4*2^(1/2)+1)*(u^4+(1+2^(1/2))*u^2+4*2^(1/2))*2^(1/2), u*v/(u+4+2^(1/2))^2/(u+4*2^(1/2)+1)^2]]]:
LL[1,0,8] := [G, [[(u+2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+3*2^(1/2))/(u+4*2^(1/2)+4)*(u+4*2^(1/2)+3)^2*(4+2*2^(1/2)), v/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2))^2/(u+4*2^(1/2)+4)^2*(2+3*2^(1/2))], [2/(u+4+2^(1/2))/(u+4*2^(1/2)+1)*(u^4+(1+2^(1/2))*u^2+4*2^(1/2))*2^(1/2), u*v/(u+4+2^(1/2))^2/(u+4*2^(1/2)+1)^2]]]:
LL[1,0,9] := [G, [[(u^2+(4+3*2^(1/2))*u+4*2^(1/2))*(u^2+(1+2*2^(1/2))*u+4*2^(1/2))/(u+4*2^(1/2))/(u+3*2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+2^(1/2))*(2+2*2^(1/2)), u*v/(u+4*2^(1/2))^2/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+2^(1/2))^2], [(u^2+(3+4*2^(1/2))*u+3*2^(1/2)+4)*(u^2+(1+4*2^(1/2))*u+4*2^(1/2)+3)/(u+4+2^(1/2))/(u+2^(1/2)+1)/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+2)*(4+3*2^(1/2)), (u+4)*(u+1)*v*(1+2^(1/2))/(u+4+2^(1/2))^2/(u+2^(1/2)+1)^2/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+2)^2]]]:
LL[1,0,10] := [G, [[(u^2+(4+3*2^(1/2))*u+4*2^(1/2))*(u^2+(1+2*2^(1/2))*u+4*2^(1/2))/(u+4*2^(1/2))/(u+3*2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+2^(1/2))*(2+2*2^(1/2)), u*v/(u+4*2^(1/2))^2/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+2^(1/2))^2], [1/(u+4*2^(1/2))/(u+4)^2*(u^4+(3+4*2^(1/2))*u^3+(2+3*2^(1/2))*u^2+(3+4*2^(1/2))*u+1)/(u+2*2^(1/2))*2^(1/2), v*(u+1)/(u+4)^3/(u+4*2^(1/2))^2/(u+2*2^(1/2))^2*(2+3*2^(1/2))]]]:
LL[1,0,11] := [G, [[1/(u+2^(1/2)+1)*(u^4+(4+2*2^(1/2))*u^2+2*2^(1/2))/(u+4*2^(1/2)+4)/u^2, 1/(u+2^(1/2)+1)^2/u^3/(u+4*2^(1/2)+4)^2*v*(2+2*2^(1/2))], [(u^2+(3+4*2^(1/2))*u+3*2^(1/2)+4)*(u^2+(1+4*2^(1/2))*u+4*2^(1/2)+3)/(u+4+2^(1/2))/(u+2^(1/2)+1)/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+2)*(4+3*2^(1/2)), (u+4)*(u+1)*v*(1+2^(1/2))/(u+4+2^(1/2))^2/(u+2^(1/2)+1)^2/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+2)^2]]]:
LL[1,0,12] := [G, [[1/(u+2^(1/2)+1)*(u^4+(4+2*2^(1/2))*u^2+2*2^(1/2))/(u+4*2^(1/2)+4)/u^2, 1/(u+2^(1/2)+1)^2/u^3/(u+4*2^(1/2)+4)^2*v*(2+2*2^(1/2))], [1/(u+4*2^(1/2))/(u+4)^2*(u^4+(3+4*2^(1/2))*u^3+(2+3*2^(1/2))*u^2+(3+4*2^(1/2))*u+1)/(u+2*2^(1/2))*2^(1/2), v*(u+1)/(u+4)^3/(u+4*2^(1/2))^2/(u+2*2^(1/2))^2*(2+3*2^(1/2))]]]:
LL[1,0,13] := [G, [[(u^2+(3+4*2^(1/2))*u+3*2^(1/2)+4)*(u^2+(1+4*2^(1/2))*u+4*2^(1/2)+3)/(u+4+2^(1/2))/(u+2^(1/2)+1)/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+2)*(4+3*2^(1/2)), (u+4)*(u+1)*v*(1+2^(1/2))/(u+4+2^(1/2))^2/(u+2^(1/2)+1)^2/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+2)^2], [(u^2+(4+3*2^(1/2))*u+4*2^(1/2))*(u^2+(1+2*2^(1/2))*u+4*2^(1/2))/(u+4*2^(1/2))/(u+3*2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+2^(1/2))*(2+2*2^(1/2)), 4*u*v/(u+4*2^(1/2))^2/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+2^(1/2))^2]]]:
LL[1,0,14] := [G, [[1/(u+4*2^(1/2))/(u+4)^2*(u^4+(3+4*2^(1/2))*u^3+(2+3*2^(1/2))*u^2+(3+4*2^(1/2))*u+1)/(u+2*2^(1/2))*2^(1/2), v*(u+1)/(u+4)^3/(u+4*2^(1/2))^2/(u+2*2^(1/2))^2*(2+3*2^(1/2))], [(u^2+(4+3*2^(1/2))*u+4*2^(1/2))*(u^2+(1+2*2^(1/2))*u+4*2^(1/2))/(u+4*2^(1/2))/(u+3*2^(1/2)+3)/(u+2*2^(1/2)+2)/(u+2^(1/2))*(2+2*2^(1/2)), 4*u*v/(u+4*2^(1/2))^2/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+2)^2/(u+2^(1/2))^2]]]:
LL[1,0,15] := [G, [[(u^2+(3+4*2^(1/2))*u+3*2^(1/2)+4)*(u^2+(1+4*2^(1/2))*u+4*2^(1/2)+3)/(u+4+2^(1/2))/(u+2^(1/2)+1)/(u+2*2^(1/2)+2)/(u+3*2^(1/2)+2)*(4+3*2^(1/2)), (u+4)*(u+1)*v*(1+2^(1/2))/(u+4+2^(1/2))^2/(u+2^(1/2)+1)^2/(u+2*2^(1/2)+2)^2/(u+3*2^(1/2)+2)^2], [1/(u+2^(1/2)+1)*(u^4+(4+2*2^(1/2))*u^2+2*2^(1/2))/(u+4*2^(1/2)+4)/u^2, 4/(u+2^(1/2)+1)^2/u^3/(u+4*2^(1/2)+4)^2*v*(2+2*2^(1/2))]]]:
LL[1,0,16] := [G, [[1/(u+4*2^(1/2))/(u+4)^2*(u^4+(3+4*2^(1/2))*u^3+(2+3*2^(1/2))*u^2+(3+4*2^(1/2))*u+1)/(u+2*2^(1/2))*2^(1/2), v*(u+1)/(u+4)^3/(u+4*2^(1/2))^2/(u+2*2^(1/2))^2*(2+3*2^(1/2))], [1/(u+2^(1/2)+1)*(u^4+(4+2*2^(1/2))*u^2+2*2^(1/2))/(u+4*2^(1/2)+4)/u^2, 4/(u+2^(1/2)+1)^2/u^3/(u+4*2^(1/2)+4)^2*v*(2+2*2^(1/2))]]]:
LL[1,1,1] := [E, [[u*(2+2*2^(1/2)), v], [(u+3)*(u+1)/(u+4)*(4+4*2^(1/2)), 2*(u+3*2^(1/2)+4)*(u+2*2^(1/2)+4)*v/(u+4)^2*2^(1/2)]]]:
LL[1,1,2] := [E, [[u*(2+2*2^(1/2)), v], [1/(u+3*2^(1/2)+4)^2*(u^2+(1+3*2^(1/2))*u+2*2^(1/2)+1), (u+2*2^(1/2)+4)/(u+3*2^(1/2)+4)^3*v*(4+2*2^(1/2))]]]:
LL[1,1,3] := [E, [[u*(2+2*2^(1/2)), v], [(u^2+(1+2*2^(1/2))*u+3*2^(1/2)+1)/(u+2*2^(1/2)+4)^2*(2+3*2^(1/2)), (u+3*2^(1/2)+4)/(u+2*2^(1/2)+4)^3*v*(1+2*2^(1/2))]]]:
LL[1,1,4] := [E, [[u*(2+2*2^(1/2)), v], [1/(u+3*2^(1/2)+3)*(u+2*2^(1/2))*(u+3*2^(1/2))/(u+2*2^(1/2)+3)*(2+2*2^(1/2)), 1/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+3)^2*(u+3*2^(1/2)+4)*v*(u+2*2^(1/2)+4)*2^(1/2)]]]:
LL[1,1,5] := [E, [[(u+3)*(u+1)/(u+4)*(4+4*2^(1/2)), 2*(u+3*2^(1/2)+4)*(u+2*2^(1/2)+4)*v/(u+4)^2*2^(1/2)], [u*(2+2*2^(1/2)), 4*v]]]:
LL[1,1,6] := [E, [[1/(u+3*2^(1/2)+4)^2*(u^2+(1+3*2^(1/2))*u+2*2^(1/2)+1), (u+2*2^(1/2)+4)/(u+3*2^(1/2)+4)^3*v*(4+2*2^(1/2))], [u*(2+2*2^(1/2)), 4*v]]]:
LL[1,1,7] := [E, [[(u^2+(1+2*2^(1/2))*u+3*2^(1/2)+1)/(u+2*2^(1/2)+4)^2*(2+3*2^(1/2)), (u+3*2^(1/2)+4)/(u+2*2^(1/2)+4)^3*v*(1+2*2^(1/2))], [u*(2+2*2^(1/2)), 4*v]]]:
LL[1,1,8] := [E, [[1/(u+3*2^(1/2)+3)*(u+2*2^(1/2))*(u+3*2^(1/2))/(u+2*2^(1/2)+3)*(2+2*2^(1/2)), 1/(u+3*2^(1/2)+3)^2/(u+2*2^(1/2)+3)^2*(u+3*2^(1/2)+4)*v*(u+2*2^(1/2)+4)*2^(1/2)], [u*(2+2*2^(1/2)), 4*v]]]:
LL[1,1,9] := [E, [[(u+2^(1/2)+1)*(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)*(4+2^(1/2)), 3*(u+2*2^(1/2)+1)*(u+4*2^(1/2))*v/(u+3*2^(1/2)+3)^2*2^(1/2)], [(u+3)*(u+1)/(u+4)*(4+2^(1/2)), 3*(u+3*2^(1/2)+4)*(u+2*2^(1/2)+4)*v/(u+4)^2*2^(1/2)]]]:
LL[1,1,10] := [E, [[(u+2^(1/2)+1)*(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)*(4+2^(1/2)), 3*(u+2*2^(1/2)+1)*(u+4*2^(1/2))*v/(u+3*2^(1/2)+3)^2*2^(1/2)], [(u^2+(1+2*2^(1/2))*u+3*2^(1/2)+1)/(u+2*2^(1/2)+4)^2, (u+3*2^(1/2)+4)/(u+2*2^(1/2)+4)^3*v*(4+3*2^(1/2))]]]:
LL[1,1,11] := [E, [[1/(u+4*2^(1/2))^2*(u^2+(4+3*2^(1/2))*u+2*2^(1/2)+4)*(2+3*2^(1/2)), 4/(u+4*2^(1/2))^3*(u+2*2^(1/2)+1)*v*2^(1/2)], [(u+3)*(u+1)/(u+4)*(4+2^(1/2)), 3*(u+3*2^(1/2)+4)*(u+2*2^(1/2)+4)*v/(u+4)^2*2^(1/2)]]]:
LL[1,1,12] := [E, [[1/(u+4*2^(1/2))^2*(u^2+(4+3*2^(1/2))*u+2*2^(1/2)+4)*(2+3*2^(1/2)), 4/(u+4*2^(1/2))^3*(u+2*2^(1/2)+1)*v*2^(1/2)], [(u^2+(1+2*2^(1/2))*u+3*2^(1/2)+1)/(u+2*2^(1/2)+4)^2, (u+3*2^(1/2)+4)/(u+2*2^(1/2)+4)^3*v*(4+3*2^(1/2))]]]:
LL[1,1,13] := [E, [[(u+3)*(u+1)/(u+4)*(4+2^(1/2)), 3*(u+3*2^(1/2)+4)*(u+2*2^(1/2)+4)*v/(u+4)^2*2^(1/2)], [(u+2^(1/2)+1)*(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)*(4+2^(1/2)), 2*(u+2*2^(1/2)+1)*(u+4*2^(1/2))*v/(u+3*2^(1/2)+3)^2*2^(1/2)]]]:
LL[1,1,14] := [E, [[(u^2+(1+2*2^(1/2))*u+3*2^(1/2)+1)/(u+2*2^(1/2)+4)^2, (u+3*2^(1/2)+4)/(u+2*2^(1/2)+4)^3*v*(4+3*2^(1/2))], [(u+2^(1/2)+1)*(u+2*2^(1/2)+2)/(u+3*2^(1/2)+3)*(4+2^(1/2)), 2*(u+2*2^(1/2)+1)*(u+4*2^(1/2))*v/(u+3*2^(1/2)+3)^2*2^(1/2)]]]:
LL[1,1,15] := [E, [[(u+3)*(u+1)/(u+4)*(4+2^(1/2)), 3*(u+3*2^(1/2)+4)*(u+2*2^(1/2)+4)*v/(u+4)^2*2^(1/2)], [1/(u+4*2^(1/2))^2*(u^2+(4+3*2^(1/2))*u+2*2^(1/2)+4)*(2+3*2^(1/2)), 1/(u+4*2^(1/2))^3*(u+2*2^(1/2)+1)*v*2^(1/2)]]]:
LL[1,1,16] := [E, [[(u^2+(1+2*2^(1/2))*u+3*2^(1/2)+1)/(u+2*2^(1/2)+4)^2, (u+3*2^(1/2)+4)/(u+2*2^(1/2)+4)^3*v*(4+3*2^(1/2))], [1/(u+4*2^(1/2))^2*(u^2+(4+3*2^(1/2))*u+2*2^(1/2)+4)*(2+3*2^(1/2)), 1/(u+4*2^(1/2))^3*(u+2*2^(1/2)+1)*v*2^(1/2)]]]:
LL[1,2,1] := [E, [[u, v], [infinity, 0]]]:
LL[1,2,2] := [E, [[u, v], [1, 0]]]:
LL[1,2,3] := [E, [[u, v], [2+3*2^(1/2), 0]]]:
LL[1,2,4] := [E, [[u, v], [2+2*2^(1/2), 0]]]:
LL[1,2,5] := [E, [[infinity, 0], [u, v]]]:
LL[1,2,6] := [E, [[1, 0], [u, v]]]:
LL[1,2,7] := [E, [[2+3*2^(1/2), 0], [u, v]]]:
LL[1,2,8] := [E, [[2+2*2^(1/2), 0], [u, v]]]:
LL[1,2,9] := [E, [[u, v], [(2+3*2^(1/2))*u, -v]]]:
LL[1,2,10] := [E, [[u, v], [(u+4*2^(1/2)+4)/(u+3*2^(1/2)+3), v/(u+3*2^(1/2)+3)^2*(1+4*2^(1/2))]]]:
LL[1,2,11] := [E, [[u, v], [1/(u+4)*(u+2)*(2+3*2^(1/2)), 3/(u+4)^2*v]]]:
LL[1,2,12] := [E, [[u, v], [1/(u+2*2^(1/2)+3)*(u+4+2^(1/2))*(2+2*2^(1/2)), 1/(u+2*2^(1/2)+3)^2*v*(1+2^(1/2))]]]:
LL[1,2,13] := [E, [[u, v], [u*(2+2*2^(1/2)), v]]]:
LL[1,2,14] := [E, [[u, v], [(u+4+2^(1/2))/(u+2*2^(1/2)+3), v/(u+2*2^(1/2)+3)^2*(4+4*2^(1/2))]]]:
LL[1,2,15] := [E, [[u, v], [(u+4*2^(1/2)+4)/(u+3*2^(1/2)+3)*(2+3*2^(1/2)), 1/(u+3*2^(1/2)+3)^2*v*(4+2^(1/2))]]]:
LL[1,2,16] := [E, [[u, v], [1/(u+4)*(u+2)*(2+2*2^(1/2)), 2/(u+4)^2*v]]]:

RatPtsE:=[[infinity, 0], [0, 2], [0, 3], [1, 0], [2, sqrt(2)],
 [2, 4*sqrt(2)], [3, 1], [3, 4], [4, 2*sqrt(2)], [4, 3*sqrt(2)], 
 [sqrt(2), 3*sqrt(2)*beta+2*beta], [sqrt(2), 3*beta+2*sqrt(2)*beta], 
 [1+sqrt(2), 1], [1+sqrt(2), 4], [2+sqrt(2), 1+2*sqrt(2)], [2+sqrt(2), 4+3*sqrt(2)], 
 [3+sqrt(2), 1+2*sqrt(2)], [3+sqrt(2), 4+3*sqrt(2)], [4+sqrt(2), sqrt(2)], 
 [4+sqrt(2), 4*sqrt(2)], [2*sqrt(2), 1+3*sqrt(2)], [2*sqrt(2), 4+2*sqrt(2)], 
 [1+2*sqrt(2), 3*sqrt(2)*beta+2*beta], [1+2*sqrt(2), 3*beta+2*sqrt(2)*beta], 
 [2+2*sqrt(2), 0], [3+2*sqrt(2), 2*sqrt(2)], [3+2*sqrt(2), 3*sqrt(2)], 
 [4+2*sqrt(2), 3*sqrt(2)*beta+2*beta], [4+2*sqrt(2), 3*beta+2*sqrt(2)*beta], 
 [3*sqrt(2), 1+2*sqrt(2)], [3*sqrt(2), 4+3*sqrt(2)], [1+3*sqrt(2), beta+sqrt(2)*beta], 
 [1+3*sqrt(2), 4*beta+4*sqrt(2)*beta], [2+3*sqrt(2), 0], [3+3*sqrt(2), 2*sqrt(2)], 
 [3+3*sqrt(2), 3*sqrt(2)], [4+3*sqrt(2), beta+sqrt(2)*beta], 
 [4+3*sqrt(2), 4*beta+4*sqrt(2)*beta], [4*sqrt(2), beta+sqrt(2)*beta], [4*sqrt(2), 4*beta+4*sqrt(2)*beta], 
 [1+4*sqrt(2), 1], [1+4*sqrt(2), 4], [2+4*sqrt(2), 1+3*sqrt(2)], 
 [2+4*sqrt(2), 4+2*sqrt(2)], [3+4*sqrt(2), 1+3*sqrt(2)], 
 [3+4*sqrt(2), 4+2*sqrt(2)], [4+4*sqrt(2), sqrt(2)], [4+4*sqrt(2), 4*sqrt(2)]];
 
RatPtsF:=[[infinity, 1], [infinity, 4], [0, 2], [0, 3], [1, 0], [2, 2*sqrt(2)],
 [2, 3*sqrt(2)], [3, 2*sqrt(2)], [3, 3*sqrt(2)], [4, 0], [sqrt(2), sqrt(2)], 
 [sqrt(2), 4*sqrt(2)], [1+sqrt(2), 2*sqrt(2)], [1+sqrt(2), 3*sqrt(2)], [2+sqrt(2), 1],
 [2+sqrt(2), 4], [3+sqrt(2), 1], [3+sqrt(2), 4], [4+sqrt(2), 2*sqrt(2)], 
 [4+sqrt(2), 3*sqrt(2)], [2*sqrt(2), 1], [2*sqrt(2), 4], [1+2*sqrt(2), sqrt(2)], 
 [1+2*sqrt(2), 4*sqrt(2)], [2+2*sqrt(2), 0], [3+2*sqrt(2), 0], [4+2*sqrt(2), sqrt(2)], 
 [4+2*sqrt(2), 4*sqrt(2)], [3*sqrt(2), 1], [3*sqrt(2), 4], [1+3*sqrt(2), sqrt(2)], 
 [1+3*sqrt(2), 4*sqrt(2)], [2+3*sqrt(2), 0], [3+3*sqrt(2), 0], [4+3*sqrt(2), sqrt(2)], 
 [4+3*sqrt(2), 4*sqrt(2)], [4*sqrt(2), sqrt(2)], [4*sqrt(2), 4*sqrt(2)], [1+4*sqrt(2), 2*sqrt(2)], 
 [1+4*sqrt(2), 3*sqrt(2)], [2+4*sqrt(2), 1], [2+4*sqrt(2), 4], [3+4*sqrt(2), 1], [3+4*sqrt(2), 4], 
 [4+4*sqrt(2), 2*sqrt(2)], [4+4*sqrt(2), 3*sqrt(2)]];

RatPtsG:=[[infinity, beta], [infinity, 4*beta], 
[0, beta], [0, 4*beta], [1, beta], [1, 4*beta], [2, beta], 
[2, 4*beta], [3, beta], [3, 4*beta], [4, beta], [4, 4*beta], 
[sqrt(2), 0], [1+sqrt(2), 0], [2+sqrt(2), 2], [2+sqrt(2), 3], 
[3+sqrt(2), 1], [3+sqrt(2), 4], [4+sqrt(2), 0], [2*sqrt(2), 0], 
[1+2*sqrt(2), 1], [1+2*sqrt(2), 4], [2+2*sqrt(2), 0], [3+2*sqrt(2), 0], 
[4+2*sqrt(2), 2], [4+2*sqrt(2), 3], [3*sqrt(2), 0], [1+3*sqrt(2), 2], 
[1+3*sqrt(2), 3], [2+3*sqrt(2), 0], [3+3*sqrt(2), 0], [4+3*sqrt(2), 1], 
[4+3*sqrt(2), 4], [4*sqrt(2), 0], [1+4*sqrt(2), 0], [2+4*sqrt(2), 1], 
[2+4*sqrt(2), 4], [3+4*sqrt(2), 2], [3+4*sqrt(2), 3], [4+4*sqrt(2), 0]];
KmRatPts:=[[[infinity, infinity], [0, 1]], [[infinity, infinity], [1, 0]], [[infinity, infinity], [1, 1]], [[infinity, infinity], [1, 2]], [[infinity, infinity], [1, 3]], [[infinity, infinity], [1, 4]], [[infinity, infinity], [1, 2^(1/2)]], [[infinity, infinity], [1, 1+2^(1/2)]], [[infinity, infinity], [1, 2+2^(1/2)]], [[infinity, infinity], [1, 3+2^(1/2)]], [[infinity, infinity], [1, 4+2^(1/2)]], [[infinity, infinity], [1, 2*2^(1/2)]], [[infinity, infinity], [1, 1+2*2^(1/2)]], [[infinity, infinity], [1, 2+2*2^(1/2)]], [[infinity, infinity], [1, 3+2*2^(1/2)]], [[infinity, infinity], [1, 4+2*2^(1/2)]], [[infinity, infinity], [1, 3*2^(1/2)]], [[infinity, infinity], [1, 1+3*2^(1/2)]], [[infinity, infinity], [1, 2+3*2^(1/2)]], [[infinity, infinity], [1, 3+3*2^(1/2)]], [[infinity, infinity], [1, 4+3*2^(1/2)]], [[infinity, infinity], [1, 4*2^(1/2)]], [[infinity, infinity], [1, 1+4*2^(1/2)]], [[infinity, infinity], [1, 2+4*2^(1/2)]], [[infinity, infinity], [1, 3+4*2^(1/2)]], [[infinity, infinity], [1, 4+4*2^(1/2)]], [infinity, 0, 0], [[infinity, 1], [0, 1]], [[infinity, 1], [1, 0]], [[infinity, 1], [1, 1]], [[infinity, 1], [1, 2]], [[infinity, 1], [1, 3]], [[infinity, 1], [1, 4]], [[infinity, 1], [1, 2^(1/2)]], [[infinity, 1], [1, 1+2^(1/2)]], [[infinity, 1], [1, 2+2^(1/2)]], [[infinity, 1], [1, 3+2^(1/2)]], [[infinity, 1], [1, 4+2^(1/2)]], [[infinity, 1], [1, 2*2^(1/2)]], [[infinity, 1], [1, 1+2*2^(1/2)]], [[infinity, 1], [1, 2+2*2^(1/2)]], [[infinity, 1], [1, 3+2*2^(1/2)]], [[infinity, 1], [1, 4+2*2^(1/2)]], [[infinity, 1], [1, 3*2^(1/2)]], [[infinity, 1], [1, 1+3*2^(1/2)]], [[infinity, 1], [1, 2+3*2^(1/2)]], [[infinity, 1], [1, 3+3*2^(1/2)]], [[infinity, 1], [1, 4+3*2^(1/2)]], [[infinity, 1], [1, 4*2^(1/2)]], [[infinity, 1], [1, 1+4*2^(1/2)]], [[infinity, 1], [1, 2+4*2^(1/2)]], [[infinity, 1], [1, 3+4*2^(1/2)]], [[infinity, 1], [1, 4+4*2^(1/2)]], [infinity, 2, 0], [infinity, 3, 0], [infinity, 4, 0], [infinity, 2^(1/2), 0], [infinity, 1+2^(1/2), 0], [infinity, 2+2^(1/2), 0], [infinity, 3+2^(1/2), 0], [infinity, 4+2^(1/2), 0], [infinity, 2*2^(1/2), 0], [infinity, 1+2*2^(1/2), 0], [[infinity, 2+2*2^(1/2)], [0, 1]], [[infinity, 2+2*2^(1/2)], [1, 0]], [[infinity, 2+2*2^(1/2)], [1, 1]], [[infinity, 2+2*2^(1/2)], [1, 2]], [[infinity, 2+2*2^(1/2)], [1, 3]], [[infinity, 2+2*2^(1/2)], [1, 4]], [[infinity, 2+2*2^(1/2)], [1, 2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [infinity, 3+2*2^(1/2), 0], [infinity, 4+2*2^(1/2), 0], [infinity, 3*2^(1/2), 0], [infinity, 1+3*2^(1/2), 0], [[infinity, 2+3*2^(1/2)], [0, 1]], [[infinity, 2+3*2^(1/2)], [1, 0]], [[infinity, 2+3*2^(1/2)], [1, 1]], [[infinity, 2+3*2^(1/2)], [1, 2]], [[infinity, 2+3*2^(1/2)], [1, 3]], [[infinity, 2+3*2^(1/2)], [1, 4]], [[infinity, 2+3*2^(1/2)], [1, 2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [infinity, 3+3*2^(1/2), 0], [infinity, 4+3*2^(1/2), 0], [infinity, 4*2^(1/2), 0], [infinity, 1+4*2^(1/2), 0], [infinity, 2+4*2^(1/2), 0], [infinity, 3+4*2^(1/2), 0], [infinity, 4+4*2^(1/2), 0], [0, infinity, 0], [0, 0, 1], [0, 0, 4], [0, 1, 0], [0, 2, 2*2^(1/2)], [0, 2, 3*2^(1/2)], [0, 3, 2], [0, 3, 3], [0, 4, 2^(1/2)], [0, 4, 4*2^(1/2)], [0, 1+2^(1/2), 2], [0, 1+2^(1/2), 3], [0, 2+2^(1/2), 3+2^(1/2)], [0, 2+2^(1/2), 2+4*2^(1/2)], [0, 3+2^(1/2), 3+2^(1/2)], [0, 3+2^(1/2), 2+4*2^(1/2)], [0, 4+2^(1/2), 2*2^(1/2)], [0, 4+2^(1/2), 3*2^(1/2)], [0, 2*2^(1/2), 2+2^(1/2)], [0, 2*2^(1/2), 3+4*2^(1/2)], [0, 2+2*2^(1/2), 0], [0, 3+2*2^(1/2), 2^(1/2)], [0, 3+2*2^(1/2), 4*2^(1/2)], [0, 3*2^(1/2), 3+2^(1/2)], [0, 3*2^(1/2), 2+4*2^(1/2)], [0, 2+3*2^(1/2), 0], [0, 3+3*2^(1/2), 2^(1/2)], [0, 3+3*2^(1/2), 4*2^(1/2)], [0, 1+4*2^(1/2), 2], [0, 1+4*2^(1/2), 3], [0, 2+4*2^(1/2), 2+2^(1/2)], [0, 2+4*2^(1/2), 3+4*2^(1/2)], [0, 3+4*2^(1/2), 2+2^(1/2)], [0, 3+4*2^(1/2), 3+4*2^(1/2)], [0, 4+4*2^(1/2), 2*2^(1/2)], [0, 4+4*2^(1/2), 3*2^(1/2)], [[1, infinity], [0, 1]], [[1, infinity], [1, 0]], [[1, infinity], [1, 1]], [[1, infinity], [1, 2]], [[1, infinity], [1, 3]], [[1, infinity], [1, 4]], [[1, infinity], [1, 2^(1/2)]], [[1, infinity], [1, 1+2^(1/2)]], [[1, infinity], [1, 2+2^(1/2)]], [[1, infinity], [1, 3+2^(1/2)]], [[1, infinity], [1, 4+2^(1/2)]], [[1, infinity], [1, 2*2^(1/2)]], [[1, infinity], [1, 1+2*2^(1/2)]], [[1, infinity], [1, 2+2*2^(1/2)]], [[1, infinity], [1, 3+2*2^(1/2)]], [[1, infinity], [1, 4+2*2^(1/2)]], [[1, infinity], [1, 3*2^(1/2)]], [[1, infinity], [1, 1+3*2^(1/2)]], [[1, infinity], [1, 2+3*2^(1/2)]], [[1, infinity], [1, 3+3*2^(1/2)]], [[1, infinity], [1, 4+3*2^(1/2)]], [[1, infinity], [1, 4*2^(1/2)]], [[1, infinity], [1, 1+4*2^(1/2)]], [[1, infinity], [1, 2+4*2^(1/2)]], [[1, infinity], [1, 3+4*2^(1/2)]], [[1, infinity], [1, 4+4*2^(1/2)]], [1, 0, 0], [[1, 1], [0, 1]], [[1, 1], [1, 0]], [[1, 1], [1, 1]], [[1, 1], [1, 2]], [[1, 1], [1, 3]], [[1, 1], [1, 4]], [[1, 1], [1, 2^(1/2)]], [[1, 1], [1, 1+2^(1/2)]], [[1, 1], [1, 2+2^(1/2)]], [[1, 1], [1, 3+2^(1/2)]], [[1, 1], [1, 4+2^(1/2)]], [[1, 1], [1, 2*2^(1/2)]], [[1, 1], [1, 1+2*2^(1/2)]], [[1, 1], [1, 2+2*2^(1/2)]], [[1, 1], [1, 3+2*2^(1/2)]], [[1, 1], [1, 4+2*2^(1/2)]], [[1, 1], [1, 3*2^(1/2)]], [[1, 1], [1, 1+3*2^(1/2)]], [[1, 1], [1, 2+3*2^(1/2)]], [[1, 1], [1, 3+3*2^(1/2)]], [[1, 1], [1, 4+3*2^(1/2)]], [[1, 1], [1, 4*2^(1/2)]], [[1, 1], [1, 1+4*2^(1/2)]], [[1, 1], [1, 2+4*2^(1/2)]], [[1, 1], [1, 3+4*2^(1/2)]], [[1, 1], [1, 4+4*2^(1/2)]], [1, 2, 0], [1, 3, 0], [1, 4, 0], [1, 2^(1/2), 0], [1, 1+2^(1/2), 0], [1, 2+2^(1/2), 0], [1, 3+2^(1/2), 0], [1, 4+2^(1/2), 0], [1, 2*2^(1/2), 0], [1, 1+2*2^(1/2), 0], [[1, 2+2*2^(1/2)], [0, 1]], [[1, 2+2*2^(1/2)], [1, 0]], [[1, 2+2*2^(1/2)], [1, 1]], [[1, 2+2*2^(1/2)], [1, 2]], [[1, 2+2*2^(1/2)], [1, 3]], [[1, 2+2*2^(1/2)], [1, 4]], [[1, 2+2*2^(1/2)], [1, 2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [1, 3+2*2^(1/2), 0], [1, 4+2*2^(1/2), 0], [1, 3*2^(1/2), 0], [1, 1+3*2^(1/2), 0], [[1, 2+3*2^(1/2)], [0, 1]], [[1, 2+3*2^(1/2)], [1, 0]], [[1, 2+3*2^(1/2)], [1, 1]], [[1, 2+3*2^(1/2)], [1, 2]], [[1, 2+3*2^(1/2)], [1, 3]], [[1, 2+3*2^(1/2)], [1, 4]], [[1, 2+3*2^(1/2)], [1, 2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [1, 3+3*2^(1/2), 0], [1, 4+3*2^(1/2), 0], [1, 4*2^(1/2), 0], [1, 1+4*2^(1/2), 0], [1, 2+4*2^(1/2), 0], [1, 3+4*2^(1/2), 0], [1, 4+4*2^(1/2), 0], [2, infinity, 0], [2, 0, 2*2^(1/2)], [2, 0, 3*2^(1/2)], [2, 1, 0], [2, 2, 2], [2, 2, 3], [2, 3, 2^(1/2)], [2, 3, 4*2^(1/2)], [2, 4, 1], [2, 4, 4], [2, 1+2^(1/2), 2^(1/2)], [2, 1+2^(1/2), 4*2^(1/2)], [2, 2+2^(1/2), 4+2^(1/2)], [2, 2+2^(1/2), 1+4*2^(1/2)], [2, 3+2^(1/2), 4+2^(1/2)], [2, 3+2^(1/2), 1+4*2^(1/2)], [2, 4+2^(1/2), 2], [2, 4+2^(1/2), 3], [2, 2*2^(1/2), 1+2^(1/2)], [2, 2*2^(1/2), 4+4*2^(1/2)], [2, 2+2*2^(1/2), 0], [2, 3+2*2^(1/2), 1], [2, 3+2*2^(1/2), 4], [2, 3*2^(1/2), 4+2^(1/2)], [2, 3*2^(1/2), 1+4*2^(1/2)], [2, 2+3*2^(1/2), 0], [2, 3+3*2^(1/2), 1], [2, 3+3*2^(1/2), 4], [2, 1+4*2^(1/2), 2^(1/2)], [2, 1+4*2^(1/2), 4*2^(1/2)], [2, 2+4*2^(1/2), 1+2^(1/2)], [2, 2+4*2^(1/2), 4+4*2^(1/2)], [2, 3+4*2^(1/2), 1+2^(1/2)], [2, 3+4*2^(1/2), 4+4*2^(1/2)], [2, 4+4*2^(1/2), 2], [2, 4+4*2^(1/2), 3], [3, infinity, 0], [3, 0, 2], [3, 0, 3], [3, 1, 0], [3, 2, 2^(1/2)], [3, 2, 4*2^(1/2)], [3, 3, 1], [3, 3, 4], [3, 4, 2*2^(1/2)], [3, 4, 3*2^(1/2)], [3, 1+2^(1/2), 1], [3, 1+2^(1/2), 4], [3, 2+2^(1/2), 1+2*2^(1/2)], [3, 2+2^(1/2), 4+3*2^(1/2)], [3, 3+2^(1/2), 1+2*2^(1/2)], [3, 3+2^(1/2), 4+3*2^(1/2)], [3, 4+2^(1/2), 2^(1/2)], [3, 4+2^(1/2), 4*2^(1/2)], [3, 2*2^(1/2), 4+2*2^(1/2)], [3, 2*2^(1/2), 1+3*2^(1/2)], [3, 2+2*2^(1/2), 0], [3, 3+2*2^(1/2), 2*2^(1/2)], [3, 3+2*2^(1/2), 3*2^(1/2)], [3, 3*2^(1/2), 1+2*2^(1/2)], [3, 3*2^(1/2), 4+3*2^(1/2)], [3, 2+3*2^(1/2), 0], [3, 3+3*2^(1/2), 2*2^(1/2)], [3, 3+3*2^(1/2), 3*2^(1/2)], [3, 1+4*2^(1/2), 1], [3, 1+4*2^(1/2), 4], [3, 2+4*2^(1/2), 4+2*2^(1/2)], [3, 2+4*2^(1/2), 1+3*2^(1/2)], [3, 3+4*2^(1/2), 4+2*2^(1/2)], [3, 3+4*2^(1/2), 1+3*2^(1/2)], [3, 4+4*2^(1/2), 2^(1/2)], [3, 4+4*2^(1/2), 4*2^(1/2)], [4, infinity, 0], [4, 0, 2^(1/2)], [4, 0, 4*2^(1/2)], [4, 1, 0], [4, 2, 1], [4, 2, 4], [4, 3, 2*2^(1/2)], [4, 3, 3*2^(1/2)], [4, 4, 2], [4, 4, 3], 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1+3*2^(1/2), 3*2^(1/2)], [2^(1/2), 2+3*2^(1/2), 0], [2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [2^(1/2), 4*2^(1/2), 2*2^(1/2)], [2^(1/2), 4*2^(1/2), 3*2^(1/2)], [1+2^(1/2), infinity, 0], [1+2^(1/2), 0, 2], [1+2^(1/2), 0, 3], [1+2^(1/2), 1, 0], [1+2^(1/2), 2, 2^(1/2)], [1+2^(1/2), 2, 4*2^(1/2)], [1+2^(1/2), 3, 1], [1+2^(1/2), 3, 4], [1+2^(1/2), 4, 2*2^(1/2)], [1+2^(1/2), 4, 3*2^(1/2)], [1+2^(1/2), 1+2^(1/2), 1], [1+2^(1/2), 1+2^(1/2), 4], [1+2^(1/2), 2+2^(1/2), 1+2*2^(1/2)], [1+2^(1/2), 2+2^(1/2), 4+3*2^(1/2)], [1+2^(1/2), 3+2^(1/2), 1+2*2^(1/2)], [1+2^(1/2), 3+2^(1/2), 4+3*2^(1/2)], [1+2^(1/2), 4+2^(1/2), 2^(1/2)], [1+2^(1/2), 4+2^(1/2), 4*2^(1/2)], [1+2^(1/2), 2*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 2*2^(1/2), 1+3*2^(1/2)], [1+2^(1/2), 2+2*2^(1/2), 0], [1+2^(1/2), 3+2*2^(1/2), 2*2^(1/2)], [1+2^(1/2), 3+2*2^(1/2), 3*2^(1/2)], [1+2^(1/2), 3*2^(1/2), 1+2*2^(1/2)], [1+2^(1/2), 3*2^(1/2), 4+3*2^(1/2)], [1+2^(1/2), 2+3*2^(1/2), 0], [1+2^(1/2), 3+3*2^(1/2), 2*2^(1/2)], [1+2^(1/2), 3+3*2^(1/2), 3*2^(1/2)], [1+2^(1/2), 1+4*2^(1/2), 1], [1+2^(1/2), 1+4*2^(1/2), 4], [1+2^(1/2), 2+4*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 2+4*2^(1/2), 1+3*2^(1/2)], [1+2^(1/2), 3+4*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 3+4*2^(1/2), 1+3*2^(1/2)], [1+2^(1/2), 4+4*2^(1/2), 2^(1/2)], [1+2^(1/2), 4+4*2^(1/2), 4*2^(1/2)], [2+2^(1/2), infinity, 0], [2+2^(1/2), 0, 3+2^(1/2)], [2+2^(1/2), 0, 2+4*2^(1/2)], [2+2^(1/2), 1, 0], [2+2^(1/2), 2, 4+2^(1/2)], [2+2^(1/2), 2, 1+4*2^(1/2)], [2+2^(1/2), 3, 1+2*2^(1/2)], [2+2^(1/2), 3, 4+3*2^(1/2)], [2+2^(1/2), 4, 3+2*2^(1/2)], [2+2^(1/2), 4, 2+3*2^(1/2)], [2+2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [2+2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [2+2^(1/2), 2+2^(1/2), 1+2^(1/2)], [2+2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [2+2^(1/2), 3+2^(1/2), 1+2^(1/2)], [2+2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [2+2^(1/2), 4+2^(1/2), 4+2^(1/2)], [2+2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [2+2^(1/2), 2*2^(1/2), 2], [2+2^(1/2), 2*2^(1/2), 3], [2+2^(1/2), 2+2*2^(1/2), 0], [2+2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [2+2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [2+2^(1/2), 3*2^(1/2), 1+2^(1/2)], [2+2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [2+2^(1/2), 2+3*2^(1/2), 0], [2+2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [2+2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [2+2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [2+2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [2+2^(1/2), 2+4*2^(1/2), 2], [2+2^(1/2), 2+4*2^(1/2), 3], [2+2^(1/2), 3+4*2^(1/2), 2], [2+2^(1/2), 3+4*2^(1/2), 3], [2+2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [2+2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [3+2^(1/2), infinity, 0], [3+2^(1/2), 0, 3+2^(1/2)], [3+2^(1/2), 0, 2+4*2^(1/2)], [3+2^(1/2), 1, 0], [3+2^(1/2), 2, 4+2^(1/2)], [3+2^(1/2), 2, 1+4*2^(1/2)], [3+2^(1/2), 3, 1+2*2^(1/2)], [3+2^(1/2), 3, 4+3*2^(1/2)], [3+2^(1/2), 4, 3+2*2^(1/2)], [3+2^(1/2), 4, 2+3*2^(1/2)], [3+2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [3+2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [3+2^(1/2), 2+2^(1/2), 1+2^(1/2)], [3+2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [3+2^(1/2), 3+2^(1/2), 1+2^(1/2)], [3+2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [3+2^(1/2), 4+2^(1/2), 4+2^(1/2)], [3+2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [3+2^(1/2), 2*2^(1/2), 2], [3+2^(1/2), 2*2^(1/2), 3], [3+2^(1/2), 2+2*2^(1/2), 0], [3+2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [3+2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [3+2^(1/2), 3*2^(1/2), 1+2^(1/2)], [3+2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [3+2^(1/2), 2+3*2^(1/2), 0], [3+2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [3+2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [3+2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [3+2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [3+2^(1/2), 2+4*2^(1/2), 2], [3+2^(1/2), 2+4*2^(1/2), 3], [3+2^(1/2), 3+4*2^(1/2), 2], [3+2^(1/2), 3+4*2^(1/2), 3], [3+2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [3+2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [4+2^(1/2), infinity, 0], [4+2^(1/2), 0, 2*2^(1/2)], [4+2^(1/2), 0, 3*2^(1/2)], [4+2^(1/2), 1, 0], [4+2^(1/2), 2, 2], [4+2^(1/2), 2, 3], [4+2^(1/2), 3, 2^(1/2)], [4+2^(1/2), 3, 4*2^(1/2)], [4+2^(1/2), 4, 1], [4+2^(1/2), 4, 4], [4+2^(1/2), 1+2^(1/2), 2^(1/2)], [4+2^(1/2), 1+2^(1/2), 4*2^(1/2)], [4+2^(1/2), 2+2^(1/2), 4+2^(1/2)], [4+2^(1/2), 2+2^(1/2), 1+4*2^(1/2)], [4+2^(1/2), 3+2^(1/2), 4+2^(1/2)], [4+2^(1/2), 3+2^(1/2), 1+4*2^(1/2)], [4+2^(1/2), 4+2^(1/2), 2], [4+2^(1/2), 4+2^(1/2), 3], [4+2^(1/2), 2*2^(1/2), 1+2^(1/2)], [4+2^(1/2), 2*2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 2+2*2^(1/2), 0], [4+2^(1/2), 3+2*2^(1/2), 1], [4+2^(1/2), 3+2*2^(1/2), 4], [4+2^(1/2), 3*2^(1/2), 4+2^(1/2)], [4+2^(1/2), 3*2^(1/2), 1+4*2^(1/2)], [4+2^(1/2), 2+3*2^(1/2), 0], [4+2^(1/2), 3+3*2^(1/2), 1], [4+2^(1/2), 3+3*2^(1/2), 4], [4+2^(1/2), 1+4*2^(1/2), 2^(1/2)], [4+2^(1/2), 1+4*2^(1/2), 4*2^(1/2)], [4+2^(1/2), 2+4*2^(1/2), 1+2^(1/2)], [4+2^(1/2), 2+4*2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 3+4*2^(1/2), 1+2^(1/2)], [4+2^(1/2), 3+4*2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 4+4*2^(1/2), 2], [4+2^(1/2), 4+4*2^(1/2), 3], [2*2^(1/2), infinity, 0], [2*2^(1/2), 0, 2+2^(1/2)], [2*2^(1/2), 0, 3+4*2^(1/2)], [2*2^(1/2), 1, 0], [2*2^(1/2), 2, 1+2^(1/2)], [2*2^(1/2), 2, 4+4*2^(1/2)], [2*2^(1/2), 3, 4+2*2^(1/2)], [2*2^(1/2), 3, 1+3*2^(1/2)], [2*2^(1/2), 4, 2+2*2^(1/2)], [2*2^(1/2), 4, 3+3*2^(1/2)], [2*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [2*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [2*2^(1/2), 2+2^(1/2), 2], [2*2^(1/2), 2+2^(1/2), 3], [2*2^(1/2), 3+2^(1/2), 2], [2*2^(1/2), 3+2^(1/2), 3], [2*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [2*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [2*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [2*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [2*2^(1/2), 2+2*2^(1/2), 0], [2*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [2*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [2*2^(1/2), 3*2^(1/2), 2], [2*2^(1/2), 3*2^(1/2), 3], [2*2^(1/2), 2+3*2^(1/2), 0], [2*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [2*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [2*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [2*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [2*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [2*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [2*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [2*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [2*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [2*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [1+2*2^(1/2), infinity, 0], 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[[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], 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[4+2*2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [4+2*2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [4+2*2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [4+2*2^(1/2), 2+3*2^(1/2), 0], [4+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [4+2*2^(1/2), 4*2^(1/2), 2*2^(1/2)], [4+2*2^(1/2), 4*2^(1/2), 3*2^(1/2)], [3*2^(1/2), infinity, 0], [3*2^(1/2), 0, 3+2^(1/2)], [3*2^(1/2), 0, 2+4*2^(1/2)], [3*2^(1/2), 1, 0], [3*2^(1/2), 2, 4+2^(1/2)], [3*2^(1/2), 2, 1+4*2^(1/2)], [3*2^(1/2), 3, 1+2*2^(1/2)], [3*2^(1/2), 3, 4+3*2^(1/2)], [3*2^(1/2), 4, 3+2*2^(1/2)], [3*2^(1/2), 4, 2+3*2^(1/2)], [3*2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [3*2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [3*2^(1/2), 2+2^(1/2), 1+2^(1/2)], [3*2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [3*2^(1/2), 3+2^(1/2), 1+2^(1/2)], [3*2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [3*2^(1/2), 4+2^(1/2), 4+2^(1/2)], [3*2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [3*2^(1/2), 2*2^(1/2), 2], [3*2^(1/2), 2*2^(1/2), 3], [3*2^(1/2), 2+2*2^(1/2), 0], [3*2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [3*2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [3*2^(1/2), 3*2^(1/2), 1+2^(1/2)], [3*2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [3*2^(1/2), 2+3*2^(1/2), 0], [3*2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [3*2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [3*2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [3*2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [3*2^(1/2), 2+4*2^(1/2), 2], [3*2^(1/2), 2+4*2^(1/2), 3], [3*2^(1/2), 3+4*2^(1/2), 2], [3*2^(1/2), 3+4*2^(1/2), 3], [3*2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [3*2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [1+3*2^(1/2), infinity, 0], [1+3*2^(1/2), 1, 0], [1+3*2^(1/2), 2^(1/2), 2*2^(1/2)], [1+3*2^(1/2), 2^(1/2), 3*2^(1/2)], [1+3*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [1+3*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [1+3*2^(1/2), 2+2*2^(1/2), 0], [1+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [1+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [1+3*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [1+3*2^(1/2), 2+3*2^(1/2), 0], [1+3*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [1+3*2^(1/2), 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[2+3*2^(1/2), 3+4*2^(1/2), 0], [2+3*2^(1/2), 4+4*2^(1/2), 0], [3+3*2^(1/2), infinity, 0], [3+3*2^(1/2), 0, 2^(1/2)], [3+3*2^(1/2), 0, 4*2^(1/2)], [3+3*2^(1/2), 1, 0], [3+3*2^(1/2), 2, 1], [3+3*2^(1/2), 2, 4], [3+3*2^(1/2), 3, 2*2^(1/2)], [3+3*2^(1/2), 3, 3*2^(1/2)], [3+3*2^(1/2), 4, 2], [3+3*2^(1/2), 4, 3], [3+3*2^(1/2), 1+2^(1/2), 2*2^(1/2)], [3+3*2^(1/2), 1+2^(1/2), 3*2^(1/2)], [3+3*2^(1/2), 2+2^(1/2), 3+2*2^(1/2)], [3+3*2^(1/2), 2+2^(1/2), 2+3*2^(1/2)], [3+3*2^(1/2), 3+2^(1/2), 3+2*2^(1/2)], [3+3*2^(1/2), 3+2^(1/2), 2+3*2^(1/2)], [3+3*2^(1/2), 4+2^(1/2), 1], [3+3*2^(1/2), 4+2^(1/2), 4], [3+3*2^(1/2), 2*2^(1/2), 2+2*2^(1/2)], [3+3*2^(1/2), 2*2^(1/2), 3+3*2^(1/2)], [3+3*2^(1/2), 2+2*2^(1/2), 0], [3+3*2^(1/2), 3+2*2^(1/2), 2], [3+3*2^(1/2), 3+2*2^(1/2), 3], [3+3*2^(1/2), 3*2^(1/2), 3+2*2^(1/2)], [3+3*2^(1/2), 3*2^(1/2), 2+3*2^(1/2)], [3+3*2^(1/2), 2+3*2^(1/2), 0], [3+3*2^(1/2), 3+3*2^(1/2), 2], [3+3*2^(1/2), 3+3*2^(1/2), 3], [3+3*2^(1/2), 1+4*2^(1/2), 2*2^(1/2)], [3+3*2^(1/2), 1+4*2^(1/2), 3*2^(1/2)], [3+3*2^(1/2), 2+4*2^(1/2), 2+2*2^(1/2)], [3+3*2^(1/2), 2+4*2^(1/2), 3+3*2^(1/2)], [3+3*2^(1/2), 3+4*2^(1/2), 2+2*2^(1/2)], [3+3*2^(1/2), 3+4*2^(1/2), 3+3*2^(1/2)], [3+3*2^(1/2), 4+4*2^(1/2), 1], [3+3*2^(1/2), 4+4*2^(1/2), 4], [4+3*2^(1/2), infinity, 0], [4+3*2^(1/2), 1, 0], [4+3*2^(1/2), 2^(1/2), 2*2^(1/2)], [4+3*2^(1/2), 2^(1/2), 3*2^(1/2)], [4+3*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [4+3*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [4+3*2^(1/2), 2+2*2^(1/2), 0], [4+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [4+3*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [4+3*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [4+3*2^(1/2), 2+3*2^(1/2), 0], [4+3*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [4+3*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [4+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [4+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [4*2^(1/2), infinity, 0], [4*2^(1/2), 1, 0], [4*2^(1/2), 2^(1/2), 2*2^(1/2)], [4*2^(1/2), 2^(1/2), 3*2^(1/2)], [4*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [4*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [4*2^(1/2), 2+2*2^(1/2), 0], [4*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [4*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [4*2^(1/2), 2+3*2^(1/2), 0], [4*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [4*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [4*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [4*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), infinity, 0], [1+4*2^(1/2), 0, 2], [1+4*2^(1/2), 0, 3], [1+4*2^(1/2), 1, 0], [1+4*2^(1/2), 2, 2^(1/2)], [1+4*2^(1/2), 2, 4*2^(1/2)], [1+4*2^(1/2), 3, 1], [1+4*2^(1/2), 3, 4], [1+4*2^(1/2), 4, 2*2^(1/2)], [1+4*2^(1/2), 4, 3*2^(1/2)], [1+4*2^(1/2), 1+2^(1/2), 1], [1+4*2^(1/2), 1+2^(1/2), 4], [1+4*2^(1/2), 2+2^(1/2), 1+2*2^(1/2)], [1+4*2^(1/2), 2+2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 3+2^(1/2), 1+2*2^(1/2)], [1+4*2^(1/2), 3+2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 4+2^(1/2), 2^(1/2)], [1+4*2^(1/2), 4+2^(1/2), 4*2^(1/2)], [1+4*2^(1/2), 2*2^(1/2), 4+2*2^(1/2)], [1+4*2^(1/2), 2*2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 2+2*2^(1/2), 0], [1+4*2^(1/2), 3+2*2^(1/2), 2*2^(1/2)], [1+4*2^(1/2), 3+2*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 3*2^(1/2), 1+2*2^(1/2)], [1+4*2^(1/2), 3*2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 2+3*2^(1/2), 0], [1+4*2^(1/2), 3+3*2^(1/2), 2*2^(1/2)], [1+4*2^(1/2), 3+3*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 1+4*2^(1/2), 1], [1+4*2^(1/2), 1+4*2^(1/2), 4], [1+4*2^(1/2), 2+4*2^(1/2), 4+2*2^(1/2)], [1+4*2^(1/2), 2+4*2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 3+4*2^(1/2), 4+2*2^(1/2)], [1+4*2^(1/2), 3+4*2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 4+4*2^(1/2), 2^(1/2)], [1+4*2^(1/2), 4+4*2^(1/2), 4*2^(1/2)], [2+4*2^(1/2), infinity, 0], [2+4*2^(1/2), 0, 2+2^(1/2)], [2+4*2^(1/2), 0, 3+4*2^(1/2)], [2+4*2^(1/2), 1, 0], [2+4*2^(1/2), 2, 1+2^(1/2)], [2+4*2^(1/2), 2, 4+4*2^(1/2)], [2+4*2^(1/2), 3, 4+2*2^(1/2)], [2+4*2^(1/2), 3, 1+3*2^(1/2)], [2+4*2^(1/2), 4, 2+2*2^(1/2)], [2+4*2^(1/2), 4, 3+3*2^(1/2)], [2+4*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [2+4*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [2+4*2^(1/2), 2+2^(1/2), 2], [2+4*2^(1/2), 2+2^(1/2), 3], [2+4*2^(1/2), 3+2^(1/2), 2], [2+4*2^(1/2), 3+2^(1/2), 3], [2+4*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [2+4*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [2+4*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [2+4*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [2+4*2^(1/2), 2+2*2^(1/2), 0], [2+4*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [2+4*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [2+4*2^(1/2), 3*2^(1/2), 2], [2+4*2^(1/2), 3*2^(1/2), 3], [2+4*2^(1/2), 2+3*2^(1/2), 0], [2+4*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [2+4*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [2+4*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [2+4*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [2+4*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [2+4*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [2+4*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [2+4*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [2+4*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [2+4*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [3+4*2^(1/2), infinity, 0], [3+4*2^(1/2), 0, 2+2^(1/2)], [3+4*2^(1/2), 0, 3+4*2^(1/2)], [3+4*2^(1/2), 1, 0], [3+4*2^(1/2), 2, 1+2^(1/2)], [3+4*2^(1/2), 2, 4+4*2^(1/2)], [3+4*2^(1/2), 3, 4+2*2^(1/2)], [3+4*2^(1/2), 3, 1+3*2^(1/2)], [3+4*2^(1/2), 4, 2+2*2^(1/2)], [3+4*2^(1/2), 4, 3+3*2^(1/2)], [3+4*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [3+4*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [3+4*2^(1/2), 2+2^(1/2), 2], [3+4*2^(1/2), 2+2^(1/2), 3], [3+4*2^(1/2), 3+2^(1/2), 2], [3+4*2^(1/2), 3+2^(1/2), 3], [3+4*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [3+4*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [3+4*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [3+4*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), 2+2*2^(1/2), 0], [3+4*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [3+4*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [3+4*2^(1/2), 3*2^(1/2), 2], [3+4*2^(1/2), 3*2^(1/2), 3], [3+4*2^(1/2), 2+3*2^(1/2), 0], [3+4*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [3+4*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [3+4*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [3+4*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [3+4*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [3+4*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [3+4*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [3+4*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), infinity, 0], [4+4*2^(1/2), 0, 2*2^(1/2)], [4+4*2^(1/2), 0, 3*2^(1/2)], [4+4*2^(1/2), 1, 0], [4+4*2^(1/2), 2, 2], [4+4*2^(1/2), 2, 3], [4+4*2^(1/2), 3, 2^(1/2)], [4+4*2^(1/2), 3, 4*2^(1/2)], [4+4*2^(1/2), 4, 1], [4+4*2^(1/2), 4, 4], [4+4*2^(1/2), 1+2^(1/2), 2^(1/2)], [4+4*2^(1/2), 1+2^(1/2), 4*2^(1/2)], [4+4*2^(1/2), 2+2^(1/2), 4+2^(1/2)], [4+4*2^(1/2), 2+2^(1/2), 1+4*2^(1/2)], [4+4*2^(1/2), 3+2^(1/2), 4+2^(1/2)], [4+4*2^(1/2), 3+2^(1/2), 1+4*2^(1/2)], [4+4*2^(1/2), 4+2^(1/2), 2], [4+4*2^(1/2), 4+2^(1/2), 3], [4+4*2^(1/2), 2*2^(1/2), 1+2^(1/2)], [4+4*2^(1/2), 2*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), 2+2*2^(1/2), 0], [4+4*2^(1/2), 3+2*2^(1/2), 1], [4+4*2^(1/2), 3+2*2^(1/2), 4], [4+4*2^(1/2), 3*2^(1/2), 4+2^(1/2)], [4+4*2^(1/2), 3*2^(1/2), 1+4*2^(1/2)], [4+4*2^(1/2), 2+3*2^(1/2), 0], [4+4*2^(1/2), 3+3*2^(1/2), 1], [4+4*2^(1/2), 3+3*2^(1/2), 4], [4+4*2^(1/2), 1+4*2^(1/2), 2^(1/2)], [4+4*2^(1/2), 1+4*2^(1/2), 4*2^(1/2)], [4+4*2^(1/2), 2+4*2^(1/2), 1+2^(1/2)], [4+4*2^(1/2), 2+4*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), 3+4*2^(1/2), 1+2^(1/2)], [4+4*2^(1/2), 3+4*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), 4+4*2^(1/2), 2], [4+4*2^(1/2), 4+4*2^(1/2), 3]];


RatPtsR[0,0,1] := [[[infinity, infinity], [0, 1]], [[infinity, infinity], [1, 0]], [[infinity, infinity], [1, 1]], [[infinity, infinity], [1, 2]], [[infinity, infinity], [1, 3]], [[infinity, infinity], [1, 4]], [[infinity, infinity], [1, 2^(1/2)]], [[infinity, infinity], [1, 1+2^(1/2)]], [[infinity, infinity], [1, 2+2^(1/2)]], [[infinity, infinity], [1, 3+2^(1/2)]], [[infinity, infinity], [1, 4+2^(1/2)]], [[infinity, infinity], [1, 2*2^(1/2)]], [[infinity, infinity], [1, 1+2*2^(1/2)]], [[infinity, infinity], [1, 2+2*2^(1/2)]], [[infinity, infinity], [1, 3+2*2^(1/2)]], [[infinity, infinity], [1, 4+2*2^(1/2)]], [[infinity, infinity], [1, 3*2^(1/2)]], [[infinity, infinity], [1, 1+3*2^(1/2)]], [[infinity, infinity], [1, 2+3*2^(1/2)]], [[infinity, infinity], [1, 3+3*2^(1/2)]], [[infinity, infinity], [1, 4+3*2^(1/2)]], [[infinity, infinity], [1, 4*2^(1/2)]], [[infinity, infinity], [1, 1+4*2^(1/2)]], [[infinity, infinity], [1, 2+4*2^(1/2)]], [[infinity, infinity], [1, 3+4*2^(1/2)]], [[infinity, infinity], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,2] := [[[infinity, 1], [0, 1]], [[infinity, 1], [1, 0]], [[infinity, 1], [1, 1]], [[infinity, 1], [1, 2]], [[infinity, 1], [1, 3]], [[infinity, 1], [1, 4]], [[infinity, 1], [1, 2^(1/2)]], [[infinity, 1], [1, 1+2^(1/2)]], [[infinity, 1], [1, 2+2^(1/2)]], [[infinity, 1], [1, 3+2^(1/2)]], [[infinity, 1], [1, 4+2^(1/2)]], [[infinity, 1], [1, 2*2^(1/2)]], [[infinity, 1], [1, 1+2*2^(1/2)]], [[infinity, 1], [1, 2+2*2^(1/2)]], [[infinity, 1], [1, 3+2*2^(1/2)]], [[infinity, 1], [1, 4+2*2^(1/2)]], [[infinity, 1], [1, 3*2^(1/2)]], [[infinity, 1], [1, 1+3*2^(1/2)]], [[infinity, 1], [1, 2+3*2^(1/2)]], [[infinity, 1], [1, 3+3*2^(1/2)]], [[infinity, 1], [1, 4+3*2^(1/2)]], [[infinity, 1], [1, 4*2^(1/2)]], [[infinity, 1], [1, 1+4*2^(1/2)]], [[infinity, 1], [1, 2+4*2^(1/2)]], [[infinity, 1], [1, 3+4*2^(1/2)]], [[infinity, 1], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,3] := [[[infinity, 2+3*2^(1/2)], [0, 1]], [[infinity, 2+3*2^(1/2)], [1, 0]], [[infinity, 2+3*2^(1/2)], [1, 1]], [[infinity, 2+3*2^(1/2)], [1, 2]], [[infinity, 2+3*2^(1/2)], [1, 3]], [[infinity, 2+3*2^(1/2)], [1, 4]], [[infinity, 2+3*2^(1/2)], [1, 2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,4] := [[[infinity, 2+2*2^(1/2)], [0, 1]], [[infinity, 2+2*2^(1/2)], [1, 0]], [[infinity, 2+2*2^(1/2)], [1, 1]], [[infinity, 2+2*2^(1/2)], [1, 2]], [[infinity, 2+2*2^(1/2)], [1, 3]], [[infinity, 2+2*2^(1/2)], [1, 4]], [[infinity, 2+2*2^(1/2)], [1, 2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,5] := [[[1, infinity], [0, 1]], [[1, infinity], [1, 0]], [[1, infinity], [1, 1]], [[1, infinity], [1, 2]], [[1, infinity], [1, 3]], [[1, infinity], [1, 4]], [[1, infinity], [1, 2^(1/2)]], [[1, infinity], [1, 1+2^(1/2)]], [[1, infinity], [1, 2+2^(1/2)]], [[1, infinity], [1, 3+2^(1/2)]], [[1, infinity], [1, 4+2^(1/2)]], [[1, infinity], [1, 2*2^(1/2)]], [[1, infinity], [1, 1+2*2^(1/2)]], [[1, infinity], [1, 2+2*2^(1/2)]], [[1, infinity], [1, 3+2*2^(1/2)]], [[1, infinity], [1, 4+2*2^(1/2)]], [[1, infinity], [1, 3*2^(1/2)]], [[1, infinity], [1, 1+3*2^(1/2)]], [[1, infinity], [1, 2+3*2^(1/2)]], [[1, infinity], [1, 3+3*2^(1/2)]], [[1, infinity], [1, 4+3*2^(1/2)]], [[1, infinity], [1, 4*2^(1/2)]], [[1, infinity], [1, 1+4*2^(1/2)]], [[1, infinity], [1, 2+4*2^(1/2)]], [[1, infinity], [1, 3+4*2^(1/2)]], [[1, infinity], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,6] := [[[1, 1], [0, 1]], [[1, 1], [1, 0]], [[1, 1], [1, 1]], [[1, 1], [1, 2]], [[1, 1], [1, 3]], [[1, 1], [1, 4]], [[1, 1], [1, 2^(1/2)]], [[1, 1], [1, 1+2^(1/2)]], [[1, 1], [1, 2+2^(1/2)]], [[1, 1], [1, 3+2^(1/2)]], [[1, 1], [1, 4+2^(1/2)]], [[1, 1], [1, 2*2^(1/2)]], [[1, 1], [1, 1+2*2^(1/2)]], [[1, 1], [1, 2+2*2^(1/2)]], [[1, 1], [1, 3+2*2^(1/2)]], [[1, 1], [1, 4+2*2^(1/2)]], [[1, 1], [1, 3*2^(1/2)]], [[1, 1], [1, 1+3*2^(1/2)]], [[1, 1], [1, 2+3*2^(1/2)]], [[1, 1], [1, 3+3*2^(1/2)]], [[1, 1], [1, 4+3*2^(1/2)]], [[1, 1], [1, 4*2^(1/2)]], [[1, 1], [1, 1+4*2^(1/2)]], [[1, 1], [1, 2+4*2^(1/2)]], [[1, 1], [1, 3+4*2^(1/2)]], [[1, 1], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,7] := [[[1, 2+3*2^(1/2)], [0, 1]], [[1, 2+3*2^(1/2)], [1, 0]], [[1, 2+3*2^(1/2)], [1, 1]], [[1, 2+3*2^(1/2)], [1, 2]], [[1, 2+3*2^(1/2)], [1, 3]], [[1, 2+3*2^(1/2)], [1, 4]], [[1, 2+3*2^(1/2)], [1, 2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,8] := [[[1, 2+2*2^(1/2)], [0, 1]], [[1, 2+2*2^(1/2)], [1, 0]], [[1, 2+2*2^(1/2)], [1, 1]], [[1, 2+2*2^(1/2)], [1, 2]], [[1, 2+2*2^(1/2)], [1, 3]], [[1, 2+2*2^(1/2)], [1, 4]], [[1, 2+2*2^(1/2)], [1, 2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,9] := [[[2+3*2^(1/2), infinity], [0, 1]], [[2+3*2^(1/2), infinity], [1, 0]], [[2+3*2^(1/2), infinity], [1, 1]], [[2+3*2^(1/2), infinity], [1, 2]], [[2+3*2^(1/2), infinity], [1, 3]], [[2+3*2^(1/2), infinity], [1, 4]], [[2+3*2^(1/2), infinity], [1, 2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 2+2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 4+2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 2+2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 4+2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 2+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 4+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 2+4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,10] := [[[2+3*2^(1/2), 1], [0, 1]], [[2+3*2^(1/2), 1], [1, 0]], [[2+3*2^(1/2), 1], [1, 1]], [[2+3*2^(1/2), 1], [1, 2]], [[2+3*2^(1/2), 1], [1, 3]], [[2+3*2^(1/2), 1], [1, 4]], [[2+3*2^(1/2), 1], [1, 2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+2^(1/2)]], [[2+3*2^(1/2), 1], [1, 3+2^(1/2)]], [[2+3*2^(1/2), 1], [1, 4+2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 3+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 4+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 3+3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 4+3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 4*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+4*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+4*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 3+4*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,11] := [[[2+3*2^(1/2), 2+3*2^(1/2)], [0, 1]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 0]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,12] := [[[2+3*2^(1/2), 2+2*2^(1/2)], [0, 1]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 0]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,13] := [[[2+2*2^(1/2), infinity], [0, 1]], [[2+2*2^(1/2), infinity], [1, 0]], [[2+2*2^(1/2), infinity], [1, 1]], [[2+2*2^(1/2), infinity], [1, 2]], [[2+2*2^(1/2), infinity], [1, 3]], [[2+2*2^(1/2), infinity], [1, 4]], [[2+2*2^(1/2), infinity], [1, 2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 1+2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 2+2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4+2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 1+3*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 2+3*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+3*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4+3*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 1+4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 2+4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,14] := [[[2+2*2^(1/2), 1], [0, 1]], [[2+2*2^(1/2), 1], [1, 0]], [[2+2*2^(1/2), 1], [1, 1]], [[2+2*2^(1/2), 1], [1, 2]], [[2+2*2^(1/2), 1], [1, 3]], [[2+2*2^(1/2), 1], [1, 4]], [[2+2*2^(1/2), 1], [1, 2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 4+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3+2*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2+3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3+3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 4+3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 4*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+4*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2+4*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,15] := [[[2+2*2^(1/2), 2+3*2^(1/2)], [0, 1]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 0]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,0,16] := [[[2+2*2^(1/2), 2+2*2^(1/2)], [0, 1]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 0]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+4*2^(1/2)]]]:
RatPtsR[0,1,1] := [[infinity, 3, 0], [0, 2, 2*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [4, 4, 3], [4, 4, 2], [[1, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [2, 3, 4*2^(1/2)], [3+2*2^(1/2), 1+4*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 1+2^(1/2), 1], [1+2^(1/2), 1+4*2^(1/2), 4], [3+3*2^(1/2), 1+2^(1/2), 3*2^(1/2)], [3, 2, 2^(1/2)], [4+4*2^(1/2), 3+3*2^(1/2), 1], [[2+3*2^(1/2), 1], [1, 3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3*2^(1/2)]], [4+2^(1/2), 3+2*2^(1/2), 4], [3, infinity, 0], [4+2^(1/2), 4+4*2^(1/2), 2], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3]], [4+4*2^(1/2), 4+2^(1/2), 3], [2, 0, 3*2^(1/2)], [3+3*2^(1/2), 4+4*2^(1/2), 4], [1+2^(1/2), 3+3*2^(1/2), 2*2^(1/2)], [1+4*2^(1/2), 3+2*2^(1/2), 2*2^(1/2)], [3+2*2^(1/2), 4+2^(1/2), 1]]:
RatPtsR[0,1,2] := [[infinity, 0, 0], [0, 4, 4*2^(1/2)], [[1, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [4, 2, 4], [4, 2, 1], [[1, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [2, 0, 2*2^(1/2)], [3+2*2^(1/2), 1+2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 1+4*2^(1/2), 1], [1+2^(1/2), 1+2^(1/2), 4], [3+3*2^(1/2), 1+4*2^(1/2), 3*2^(1/2)], [3, 4, 2*2^(1/2)], [4+4*2^(1/2), 2+2^(1/2), 4+2^(1/2)], [[2+3*2^(1/2), infinity], [1, 4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4*2^(1/2)]], [4+2^(1/2), 2+4*2^(1/2), 1+2^(1/2)], [3, 1, 0], [4+2^(1/2), 3+4*2^(1/2), 1+2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+2^(1/2)]], [4+4*2^(1/2), 3+2^(1/2), 4+2^(1/2)], [2, 3, 2^(1/2)], [3+3*2^(1/2), 3+4*2^(1/2), 2+2*2^(1/2)], [1+2^(1/2), 2+2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 2+4*2^(1/2), 1+3*2^(1/2)], [3+2*2^(1/2), 3+2^(1/2), 3+2*2^(1/2)]]:
RatPtsR[0,1,3] := [[infinity, 1+2^(1/2), 0], [0, 2*2^(1/2), 2+2^(1/2)], [[1, 1], [1, 1+3*2^(1/2)]], [4, 3*2^(1/2), 2+3*2^(1/2)], [4, 3*2^(1/2), 3+2*2^(1/2)], [[1, infinity], [1, 2+4*2^(1/2)]], [2, 1+2^(1/2), 4*2^(1/2)], [3+2*2^(1/2), 0, 4*2^(1/2)], [1+4*2^(1/2), 3, 1], [1+2^(1/2), 0, 2], [3+3*2^(1/2), 3, 3*2^(1/2)], [3, 2*2^(1/2), 1+3*2^(1/2)], [4+4*2^(1/2), 3+4*2^(1/2), 4+4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [4+2^(1/2), 4+2^(1/2), 2], [3, 2+3*2^(1/2), 0], [4+2^(1/2), 2+2^(1/2), 1+4*2^(1/2)], [[2+2*2^(1/2), 1], [1, 4+4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+2*2^(1/2)]], [4+4*2^(1/2), 3+2*2^(1/2), 1], [2, 1+4*2^(1/2), 2^(1/2)], [3+3*2^(1/2), 2+2^(1/2), 2+3*2^(1/2)], [1+2^(1/2), 3+4*2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 4+2^(1/2), 2^(1/2)], [3+2*2^(1/2), 3+2*2^(1/2), 2]]:
RatPtsR[0,1,4] := [[infinity, 1+4*2^(1/2), 0], [0, 3*2^(1/2), 3+2^(1/2)], [[1, infinity], [1, 3+4*2^(1/2)]], [4, 2*2^(1/2), 2+2*2^(1/2)], [4, 2*2^(1/2), 3+3*2^(1/2)], [[1, 1], [1, 4+3*2^(1/2)]], [2, 1+4*2^(1/2), 4*2^(1/2)], [3+2*2^(1/2), 3, 3*2^(1/2)], [1+4*2^(1/2), 0, 3], [1+2^(1/2), 3, 4], [3+3*2^(1/2), 0, 4*2^(1/2)], [3, 3*2^(1/2), 4+3*2^(1/2)], [4+4*2^(1/2), 4+4*2^(1/2), 3], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2)]], [4+2^(1/2), 3+2^(1/2), 1+4*2^(1/2)], [3, 2+2*2^(1/2), 0], [4+2^(1/2), 3+3*2^(1/2), 4], [[2+2*2^(1/2), infinity], [1, 2+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+4*2^(1/2)]], [4+4*2^(1/2), 2+4*2^(1/2), 4+4*2^(1/2)], [2, 1+2^(1/2), 2^(1/2)], [3+3*2^(1/2), 3+3*2^(1/2), 3], [1+2^(1/2), 4+4*2^(1/2), 2^(1/2)], [1+4*2^(1/2), 3+2^(1/2), 4+3*2^(1/2)], [3+2*2^(1/2), 2+4*2^(1/2), 3+3*2^(1/2)]]:
RatPtsR[0,1,5] := [[1, 3, 0], [3, 2, 4*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [2, 4, 4], [2, 4, 1], [[infinity, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [4, 3, 3*2^(1/2)], [2+4*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 1+2^(1/2), 1], [1+4*2^(1/2), 1+4*2^(1/2), 4], [2+2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [0, 2, 3*2^(1/2)], [3+4*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [[2+2*2^(1/2), 1], [1, 3+2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+2^(1/2)]], [3+2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [0, infinity, 0], [3+2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [3+4*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [4, 0, 2^(1/2)], [2+2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [1+4*2^(1/2), 3+3*2^(1/2), 2*2^(1/2)], [1+2^(1/2), 3+2*2^(1/2), 2*2^(1/2)], [2+4*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)]]:
RatPtsR[0,1,6] := [[1, 0, 0], [3, 4, 3*2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [2, 2, 2], [2, 2, 3], [[infinity, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [4, 0, 4*2^(1/2)], [2+4*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 1+4*2^(1/2), 1], [1+4*2^(1/2), 1+2^(1/2), 4], [2+2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [0, 4, 2^(1/2)], [3+4*2^(1/2), 2+2^(1/2), 3], [[2+2*2^(1/2), infinity], [1, 4+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+3*2^(1/2)]], [3+2^(1/2), 2+4*2^(1/2), 2], [0, 1, 0], [3+2^(1/2), 3+4*2^(1/2), 2], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3]], [3+4*2^(1/2), 3+2^(1/2), 3], [4, 3, 2*2^(1/2)], [2+2^(1/2), 3+4*2^(1/2), 2], [1+4*2^(1/2), 2+2^(1/2), 4+3*2^(1/2)], [1+2^(1/2), 2+4*2^(1/2), 1+3*2^(1/2)], [2+4*2^(1/2), 3+2^(1/2), 3]]:
RatPtsR[0,1,7] := [[1, 1+2^(1/2), 0], [3, 2*2^(1/2), 4+2*2^(1/2)], [[infinity, 1], [1, 2+2^(1/2)]], [2, 3*2^(1/2), 1+4*2^(1/2)], [2, 3*2^(1/2), 4+2^(1/2)], [[infinity, infinity], [1, 4+3*2^(1/2)]], [4, 1+2^(1/2), 3*2^(1/2)], [2+4*2^(1/2), 0, 2+2^(1/2)], [1+2^(1/2), 3, 1], [1+4*2^(1/2), 0, 2], [2+2^(1/2), 3, 1+2*2^(1/2)], [0, 2*2^(1/2), 3+4*2^(1/2)], [3+4*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3*2^(1/2)]], [3+2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [0, 2+3*2^(1/2), 0], [3+2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4+2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+3*2^(1/2)]], [3+4*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [4, 1+4*2^(1/2), 2*2^(1/2)], [2+2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [1+4*2^(1/2), 3+4*2^(1/2), 1+3*2^(1/2)], [1+2^(1/2), 4+2^(1/2), 2^(1/2)], [2+4*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)]]:
RatPtsR[0,1,8] := [[1, 1+4*2^(1/2), 0], [3, 3*2^(1/2), 1+2*2^(1/2)], [[infinity, infinity], [1, 1+3*2^(1/2)]], [2, 2*2^(1/2), 1+2^(1/2)], [2, 2*2^(1/2), 4+4*2^(1/2)], [[infinity, 1], [1, 3+2^(1/2)]], [4, 1+4*2^(1/2), 3*2^(1/2)], [2+4*2^(1/2), 3, 4+2*2^(1/2)], [1+2^(1/2), 0, 3], [1+4*2^(1/2), 3, 4], [2+2^(1/2), 0, 3+2^(1/2)], [0, 3*2^(1/2), 2+4*2^(1/2)], [3+4*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+2^(1/2)]], [3+2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [0, 2+2*2^(1/2), 0], [3+2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2+3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+2^(1/2)]], [3+4*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [4, 1+2^(1/2), 2*2^(1/2)], [2+2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [1+4*2^(1/2), 4+4*2^(1/2), 2^(1/2)], [1+2^(1/2), 3+2^(1/2), 4+3*2^(1/2)], [2+4*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)]]:
RatPtsR[0,1,9] := [[2+3*2^(1/2), 3, 0], [1+4*2^(1/2), 2, 4*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [3*2^(1/2), 4, 2+3*2^(1/2)], [3*2^(1/2), 4, 3+2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [2*2^(1/2), 3, 4+2*2^(1/2)], [4+2^(1/2), 1+4*2^(1/2), 4*2^(1/2)], [0, 1+2^(1/2), 3], [3, 1+4*2^(1/2), 4], [3+4*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 2, 2^(1/2)], [2+2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [[infinity, 1], [1, 4+2*2^(1/2)]], [[1, 1], [1, 3+2^(1/2)]], [3+2*2^(1/2), 3+2*2^(1/2), 3], [1+2^(1/2), infinity, 0], [3+2*2^(1/2), 4+4*2^(1/2), 4], [[1, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [2+2^(1/2), 4+2^(1/2), 4+2^(1/2)], [2*2^(1/2), 0, 3+4*2^(1/2)], [3+4*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [3, 3+3*2^(1/2), 2*2^(1/2)], [0, 3+2*2^(1/2), 2^(1/2)], [4+2^(1/2), 4+2^(1/2), 3]]:
RatPtsR[0,1,10] := [[2+3*2^(1/2), 0, 0], [1+4*2^(1/2), 4, 3*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4*2^(1/2)]], [3*2^(1/2), 2, 1+4*2^(1/2)], [3*2^(1/2), 2, 4+2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [2*2^(1/2), 0, 2+2^(1/2)], [4+2^(1/2), 1+2^(1/2), 4*2^(1/2)], [0, 1+4*2^(1/2), 3], [3, 1+2^(1/2), 4], [3+4*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 4, 2*2^(1/2)], [2+2^(1/2), 2+2^(1/2), 1+2^(1/2)], [[infinity, infinity], [1, 2+2^(1/2)]], [[1, infinity], [1, 4+3*2^(1/2)]], [3+2*2^(1/2), 2+4*2^(1/2), 2+2*2^(1/2)], [1+2^(1/2), 1, 0], [3+2*2^(1/2), 3+4*2^(1/2), 2+2*2^(1/2)], [[1, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [2+2^(1/2), 3+2^(1/2), 1+2^(1/2)], [2*2^(1/2), 3, 1+3*2^(1/2)], [3+4*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [3, 2+2^(1/2), 4+3*2^(1/2)], [0, 2+4*2^(1/2), 3+4*2^(1/2)], [4+2^(1/2), 3+2^(1/2), 4+2^(1/2)]]:
RatPtsR[0,1,11] := [[2+3*2^(1/2), 1+2^(1/2), 0], [1+4*2^(1/2), 2*2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), 1], [1, 4+3*2^(1/2)]], [3*2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [3*2^(1/2), 3*2^(1/2), 1+2^(1/2)], [[2+2*2^(1/2), infinity], [1, 2*2^(1/2)]], [2*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [4+2^(1/2), 0, 2*2^(1/2)], [0, 3, 3], [3, 0, 2], [3+4*2^(1/2), 3, 4+2*2^(1/2)], [1+2^(1/2), 2*2^(1/2), 1+3*2^(1/2)], [2+2^(1/2), 3+4*2^(1/2), 3], [[infinity, 2+2*2^(1/2)], [1, 2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [3+2*2^(1/2), 4+2^(1/2), 4], [1+2^(1/2), 2+3*2^(1/2), 0], [3+2*2^(1/2), 2+2^(1/2), 2+3*2^(1/2)], [[1, 1], [1, 2]], [[infinity, infinity], [1, 3]], [2+2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [2*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [3+4*2^(1/2), 2+2^(1/2), 2], [3, 3+4*2^(1/2), 1+3*2^(1/2)], [0, 4+2^(1/2), 3*2^(1/2)], [4+2^(1/2), 3+2*2^(1/2), 1]]:
RatPtsR[0,1,12] := [[2+3*2^(1/2), 1+4*2^(1/2), 0], [1+4*2^(1/2), 3*2^(1/2), 1+2*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 2+4*2^(1/2)]], [3*2^(1/2), 2*2^(1/2), 2], [3*2^(1/2), 2*2^(1/2), 3], [[2+2*2^(1/2), 1], [1, 4*2^(1/2)]], [2*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [4+2^(1/2), 3, 4*2^(1/2)], [0, 0, 4], [3, 3, 4], [3+4*2^(1/2), 0, 2+2^(1/2)], [1+2^(1/2), 3*2^(1/2), 4+3*2^(1/2)], [2+2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [3+2*2^(1/2), 3+2^(1/2), 2+3*2^(1/2)], [1+2^(1/2), 2+2*2^(1/2), 0], [3+2*2^(1/2), 3+3*2^(1/2), 3], [[1, infinity], [1, 1]], [[infinity, 1], [1, 1]], [2+2^(1/2), 2+4*2^(1/2), 3], [2*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [3+4*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [3, 4+4*2^(1/2), 2^(1/2)], [0, 3+2^(1/2), 2+4*2^(1/2)], [4+2^(1/2), 2+4*2^(1/2), 4+4*2^(1/2)]]:
RatPtsR[0,1,13] := [[2+2*2^(1/2), 3, 0], [1+2^(1/2), 2, 4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [2*2^(1/2), 4, 2+2*2^(1/2)], [2*2^(1/2), 4, 3+3*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [3*2^(1/2), 3, 1+2*2^(1/2)], [3+2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [3, 1+2^(1/2), 1], [0, 1+4*2^(1/2), 2], [4+4*2^(1/2), 1+2^(1/2), 4*2^(1/2)], [1+4*2^(1/2), 2, 2^(1/2)], [3+3*2^(1/2), 3+3*2^(1/2), 2], [[1, 1], [1, 2+2^(1/2)]], [[infinity, 1], [1, 1+2*2^(1/2)]], [2+4*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [1+4*2^(1/2), infinity, 0], [2+4*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [3+3*2^(1/2), 4+2^(1/2), 1], [3*2^(1/2), 0, 2+4*2^(1/2)], [4+4*2^(1/2), 4+4*2^(1/2), 2], [0, 3+3*2^(1/2), 2^(1/2)], [3, 3+2*2^(1/2), 2*2^(1/2)], [3+2^(1/2), 4+2^(1/2), 4+2^(1/2)]]:
RatPtsR[0,1,14] := [[2+2*2^(1/2), 0, 0], [1+2^(1/2), 4, 3*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [2*2^(1/2), 2, 1+2^(1/2)], [2*2^(1/2), 2, 4+4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4*2^(1/2)]], [3*2^(1/2), 0, 3+2^(1/2)], [3+2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [3, 1+4*2^(1/2), 1], [0, 1+2^(1/2), 2], [4+4*2^(1/2), 1+4*2^(1/2), 4*2^(1/2)], [1+4*2^(1/2), 4, 2*2^(1/2)], [3+3*2^(1/2), 2+2^(1/2), 3+2*2^(1/2)], [[1, infinity], [1, 1+3*2^(1/2)]], [[infinity, infinity], [1, 3+2^(1/2)]], [2+4*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [1+4*2^(1/2), 1, 0], [2+4*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [3+3*2^(1/2), 3+2^(1/2), 3+2*2^(1/2)], [3*2^(1/2), 3, 4+3*2^(1/2)], [4+4*2^(1/2), 3+4*2^(1/2), 1+2^(1/2)], [0, 2+2^(1/2), 2+4*2^(1/2)], [3, 2+4*2^(1/2), 1+3*2^(1/2)], [3+2^(1/2), 3+2^(1/2), 1+2^(1/2)]]:
RatPtsR[0,1,15] := [[2+2*2^(1/2), 1+2^(1/2), 0], [1+2^(1/2), 2*2^(1/2), 4+2*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4*2^(1/2)]], [2*2^(1/2), 3*2^(1/2), 2], [2*2^(1/2), 3*2^(1/2), 3], [[2+3*2^(1/2), infinity], [1, 3+4*2^(1/2)]], [3*2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [3+2^(1/2), 0, 3+2^(1/2)], [3, 3, 1], [0, 0, 1], [4+4*2^(1/2), 3, 4*2^(1/2)], [1+4*2^(1/2), 2*2^(1/2), 1+3*2^(1/2)], [3+3*2^(1/2), 3+4*2^(1/2), 3+3*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [2+4*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [1+4*2^(1/2), 2+3*2^(1/2), 0], [2+4*2^(1/2), 2+2^(1/2), 2], [[infinity, 1], [1, 4]], [[1, infinity], [1, 4]], [3+3*2^(1/2), 3+2*2^(1/2), 2], [3*2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [4+4*2^(1/2), 2+2^(1/2), 1+4*2^(1/2)], [0, 3+4*2^(1/2), 3+4*2^(1/2)], [3, 4+2^(1/2), 2^(1/2)], [3+2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)]]:
RatPtsR[0,1,16] := [[2+2*2^(1/2), 1+4*2^(1/2), 0], [1+2^(1/2), 3*2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2*2^(1/2)]], [2*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [2*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [[2+3*2^(1/2), 1], [1, 1+3*2^(1/2)]], [3*2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [3+2^(1/2), 3, 1+2*2^(1/2)], [3, 0, 3], [0, 3, 2], [4+4*2^(1/2), 0, 2*2^(1/2)], [1+4*2^(1/2), 3*2^(1/2), 4+3*2^(1/2)], [3+3*2^(1/2), 4+4*2^(1/2), 1], [[1, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2^(1/2)]], [2+4*2^(1/2), 3+2^(1/2), 2], [1+4*2^(1/2), 2+2*2^(1/2), 0], [2+4*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [[infinity, infinity], [1, 2]], [[1, 1], [1, 3]], [3+3*2^(1/2), 2+4*2^(1/2), 3+3*2^(1/2)], [3*2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [4+4*2^(1/2), 3+3*2^(1/2), 4], [0, 4+4*2^(1/2), 3*2^(1/2)], [3, 3+2^(1/2), 4+3*2^(1/2)], [3+2^(1/2), 2+4*2^(1/2), 3]]:
RatPtsR[0,2,1] := [[0, 3+4*2^(1/2), 2+2^(1/2)], [0, 4+2^(1/2), 2*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [2, 1, 0], [1, 2, 0], [[1, infinity], [1, 2+4*2^(1/2)]], [4+2^(1/2), 0, 3*2^(1/2)], [2+2*2^(1/2), 4+2^(1/2), 0], [3*2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [2+2^(1/2), 2+3*2^(1/2), 0], [4+2^(1/2), 2, 2], [3+4*2^(1/2), 0, 3+4*2^(1/2)], [4+4*2^(1/2), 2, 2], [[infinity, infinity], [1, 2]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3]], [2, 4+4*2^(1/2), 3], [3+2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [4+2^(1/2), 2+2*2^(1/2), 0], [[infinity, 1], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4*2^(1/2)]], [2, 4+2^(1/2), 3], [4+4*2^(1/2), 3+2^(1/2), 1+4*2^(1/2)], [2+3*2^(1/2), 2+2^(1/2), 0], [2*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [2+4*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [4+4*2^(1/2), 3*2^(1/2), 4+2^(1/2)]]:
RatPtsR[0,2,2] := [[0, 4+4*2^(1/2), 2*2^(1/2)], [0, 3+2^(1/2), 3+2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [2, infinity, 0], [1, 4, 0], [[1, 1], [1, 4+3*2^(1/2)]], [4+2^(1/2), 3, 2^(1/2)], [2+2*2^(1/2), 3+2^(1/2), 0], [3*2^(1/2), 3+4*2^(1/2), 2], [2+2^(1/2), 2+2*2^(1/2), 0], [4+2^(1/2), 4, 4], [3+4*2^(1/2), 3, 1+3*2^(1/2)], [4+4*2^(1/2), 4, 4], [[infinity, 1], [1, 4]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+2^(1/2)]], [2, 3+4*2^(1/2), 4+4*2^(1/2)], [3+2^(1/2), 3+4*2^(1/2), 3], [4+2^(1/2), 2+3*2^(1/2), 0], [[infinity, infinity], [1, 2+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3*2^(1/2)]], [2, 3+2^(1/2), 4+2^(1/2)], [4+4*2^(1/2), 4+2^(1/2), 2], [2+3*2^(1/2), 3+3*2^(1/2), 0], [2*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [2+4*2^(1/2), 3*2^(1/2), 3], [4+4*2^(1/2), 2*2^(1/2), 4+4*2^(1/2)]]:
RatPtsR[0,2,3] := [[0, 3+3*2^(1/2), 4*2^(1/2)], [0, 3+2*2^(1/2), 4*2^(1/2)], [[infinity, 1], [1, 2+2^(1/2)]], [2, 2+2*2^(1/2), 0], [1, 2*2^(1/2), 0], [[1, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [4+2^(1/2), 1+4*2^(1/2), 2^(1/2)], [2+2*2^(1/2), 3+2*2^(1/2), 0], [3*2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [2+2^(1/2), infinity, 0], [4+2^(1/2), 2*2^(1/2), 1+2^(1/2)], [3+4*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [4+4*2^(1/2), 2*2^(1/2), 1+2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+2*2^(1/2)]], [2, 2+2^(1/2), 4+2^(1/2)], [3+2^(1/2), 2+2^(1/2), 1+2^(1/2)], [4+2^(1/2), 1, 0], [[infinity, 2+2*2^(1/2)], [1, 2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2)]], [2, 3+2*2^(1/2), 1], [4+4*2^(1/2), 2+4*2^(1/2), 1+2^(1/2)], [2+3*2^(1/2), 4+4*2^(1/2), 0], [2*2^(1/2), 3+2^(1/2), 2], [2+4*2^(1/2), 2, 4+4*2^(1/2)], [4+4*2^(1/2), 4, 1]]:
RatPtsR[0,2,4] := [[0, 2+2^(1/2), 3+2^(1/2)], [0, 2+4*2^(1/2), 2+2^(1/2)], [[infinity, infinity], [1, 1+3*2^(1/2)]], [2, 2+3*2^(1/2), 0], [1, 3*2^(1/2), 0], [[1, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [4+2^(1/2), 1+2^(1/2), 2^(1/2)], [2+2*2^(1/2), 2+4*2^(1/2), 0], [3*2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [2+2^(1/2), 1, 0], [4+2^(1/2), 3*2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [4+4*2^(1/2), 3*2^(1/2), 1+4*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+4*2^(1/2)]], [2, 3+3*2^(1/2), 1], [3+2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [4+2^(1/2), infinity, 0], [[infinity, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [2, 2+4*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), 3+2*2^(1/2), 4], [2+3*2^(1/2), 3+4*2^(1/2), 0], [2*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [2+4*2^(1/2), 4, 3+3*2^(1/2)], [4+4*2^(1/2), 2, 3]]:
RatPtsR[0,2,5] := [[3, 3+4*2^(1/2), 4+2*2^(1/2)], [3, 4+2^(1/2), 4*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [4, 1, 0], [infinity, 2, 0], [[infinity, infinity], [1, 4+3*2^(1/2)]], [3+2^(1/2), 0, 2+4*2^(1/2)], [2+3*2^(1/2), 4+2^(1/2), 0], [2*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [3+3*2^(1/2), 2+3*2^(1/2), 0], [3+2^(1/2), 2, 1+4*2^(1/2)], [4+4*2^(1/2), 0, 3*2^(1/2)], [3+4*2^(1/2), 2, 1+2^(1/2)], [[1, infinity], [1, 1]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [4, 4+4*2^(1/2), 1], [4+2^(1/2), 4+4*2^(1/2), 3], [3+2^(1/2), 2+2*2^(1/2), 0], [[1, 1], [1, 2+2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+3*2^(1/2)]], [4, 4+2^(1/2), 1], [3+4*2^(1/2), 3+2^(1/2), 2], [2+2*2^(1/2), 2+2^(1/2), 0], [3*2^(1/2), 2+4*2^(1/2), 2], [3+2*2^(1/2), 2*2^(1/2), 3+3*2^(1/2)], [3+4*2^(1/2), 3*2^(1/2), 3]]:
RatPtsR[0,2,6] := [[3, 4+4*2^(1/2), 4*2^(1/2)], [3, 3+2^(1/2), 1+2*2^(1/2)], [[1, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [4, infinity, 0], [infinity, 4, 0], [[infinity, 1], [1, 3+2^(1/2)]], [3+2^(1/2), 3, 4+3*2^(1/2)], [2+3*2^(1/2), 3+2^(1/2), 0], [2*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [3+3*2^(1/2), 2+2*2^(1/2), 0], [3+2^(1/2), 4, 2+3*2^(1/2)], [4+4*2^(1/2), 3, 2^(1/2)], [3+4*2^(1/2), 4, 2+2*2^(1/2)], [[1, 1], [1, 2]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3]], [4, 3+4*2^(1/2), 3+3*2^(1/2)], [4+2^(1/2), 3+4*2^(1/2), 4+4*2^(1/2)], [3+2^(1/2), 2+3*2^(1/2), 0], [[1, infinity], [1, 1+3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+2^(1/2)]], [4, 3+2^(1/2), 3+2*2^(1/2)], [3+4*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [2+2*2^(1/2), 3+3*2^(1/2), 0], [3*2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [3+2*2^(1/2), 3*2^(1/2), 3+2*2^(1/2)], [3+4*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)]]:
RatPtsR[0,2,7] := [[3, 3+3*2^(1/2), 3*2^(1/2)], [3, 3+2*2^(1/2), 3*2^(1/2)], [[1, 1], [1, 1+3*2^(1/2)]], [4, 2+2*2^(1/2), 0], [infinity, 2*2^(1/2), 0], [[infinity, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [3+2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [2+3*2^(1/2), 3+2*2^(1/2), 0], [2*2^(1/2), 2+2^(1/2), 2], [3+3*2^(1/2), infinity, 0], [3+2^(1/2), 2*2^(1/2), 2], [4+4*2^(1/2), 1+4*2^(1/2), 2^(1/2)], [3+4*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [[1, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+3*2^(1/2)]], [4, 2+2^(1/2), 3+2*2^(1/2)], [4+2^(1/2), 2+2^(1/2), 4+2^(1/2)], [3+2^(1/2), 1, 0], [[1, 2+2*2^(1/2)], [1, 3*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+2^(1/2)]], [4, 3+2*2^(1/2), 2], [3+4*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [2+2*2^(1/2), 4+4*2^(1/2), 0], [3*2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [3+2*2^(1/2), 2, 1], [3+4*2^(1/2), 4, 3+3*2^(1/2)]]:
RatPtsR[0,2,8] := [[3, 2+2^(1/2), 1+2*2^(1/2)], [3, 2+4*2^(1/2), 4+2*2^(1/2)], [[1, infinity], [1, 3+4*2^(1/2)]], [4, 2+3*2^(1/2), 0], [infinity, 3*2^(1/2), 0], [[infinity, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [3+2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [2+3*2^(1/2), 2+4*2^(1/2), 0], [2*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [3+3*2^(1/2), 1, 0], [3+2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), 1+2^(1/2), 2^(1/2)], [3+4*2^(1/2), 3*2^(1/2), 2], [[1, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+2^(1/2)]], [4, 3+3*2^(1/2), 2], [4+2^(1/2), 3+3*2^(1/2), 1], [3+2^(1/2), infinity, 0], [[1, 2+3*2^(1/2)], [1, 3+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3*2^(1/2)]], [4, 2+4*2^(1/2), 3+3*2^(1/2)], [3+4*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [2+2*2^(1/2), 3+4*2^(1/2), 0], [3*2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [3+2*2^(1/2), 4, 2], [3+4*2^(1/2), 2, 4+4*2^(1/2)]]:
RatPtsR[0,2,9] := [[1+4*2^(1/2), 3+4*2^(1/2), 4+2*2^(1/2)], [1+4*2^(1/2), 4+2^(1/2), 4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [2*2^(1/2), 1, 0], [2+2*2^(1/2), 2, 0], [[2+2*2^(1/2), infinity], [1, 2*2^(1/2)]], [3+2*2^(1/2), 0, 2^(1/2)], [1, 4+2^(1/2), 0], [4, 4+4*2^(1/2), 4], [4+4*2^(1/2), 2+3*2^(1/2), 0], [3+2*2^(1/2), 2, 4], [3+3*2^(1/2), 0, 2^(1/2)], [2+2^(1/2), 2, 1+4*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2+3*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [2*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [2+4*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [3+2*2^(1/2), 2+2*2^(1/2), 0], [[2+3*2^(1/2), 1], [1, 3*2^(1/2)]], [[1, infinity], [1, 4+3*2^(1/2)]], [2*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [2+2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [infinity, 2+2^(1/2), 0], [2, 2+4*2^(1/2), 1+2^(1/2)], [3+2^(1/2), 2*2^(1/2), 3], [2+2^(1/2), 3*2^(1/2), 1+2^(1/2)]]:
RatPtsR[0,2,10] := [[1+4*2^(1/2), 4+4*2^(1/2), 4*2^(1/2)], [1+4*2^(1/2), 3+2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [2*2^(1/2), infinity, 0], [2+2*2^(1/2), 4, 0], [[2+2*2^(1/2), 1], [1, 4*2^(1/2)]], [3+2*2^(1/2), 3, 2*2^(1/2)], [1, 3+2^(1/2), 0], [4, 3+4*2^(1/2), 2+2*2^(1/2)], [4+4*2^(1/2), 2+2*2^(1/2), 0], [3+2*2^(1/2), 4, 3], [3+3*2^(1/2), 3, 2*2^(1/2)], [2+2^(1/2), 4, 2+3*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4+2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [2*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [2+4*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [3+2*2^(1/2), 2+3*2^(1/2), 0], [[2+3*2^(1/2), infinity], [1, 4*2^(1/2)]], [[1, 1], [1, 3+2^(1/2)]], [2*2^(1/2), 3+2^(1/2), 3], [2+2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [infinity, 3+3*2^(1/2), 0], [2, 3+2*2^(1/2), 4], [3+2^(1/2), 3*2^(1/2), 1+2^(1/2)], [2+2^(1/2), 2*2^(1/2), 3]]:
RatPtsR[0,2,11] := [[1+4*2^(1/2), 3+3*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 3+2*2^(1/2), 3*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4*2^(1/2)]], [2*2^(1/2), 2+2*2^(1/2), 0], [2+2*2^(1/2), 2*2^(1/2), 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [3+2*2^(1/2), 1+4*2^(1/2), 2*2^(1/2)], [1, 3+2*2^(1/2), 0], [4, 2+2^(1/2), 2+3*2^(1/2)], [4+4*2^(1/2), infinity, 0], [3+2*2^(1/2), 2*2^(1/2), 2+2*2^(1/2)], [3+3*2^(1/2), 1+4*2^(1/2), 2*2^(1/2)], [2+2^(1/2), 2*2^(1/2), 2], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2]], [[infinity, infinity], [1, 3]], [2*2^(1/2), 2+2^(1/2), 3], [2+4*2^(1/2), 2+2^(1/2), 3], [3+2*2^(1/2), 1, 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3*2^(1/2)]], [2*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [2+2^(1/2), 2+4*2^(1/2), 2], [infinity, 4+4*2^(1/2), 0], [2, 3+2^(1/2), 1+4*2^(1/2)], [3+2^(1/2), 2, 4+2^(1/2)], [2+2^(1/2), 4, 3+2*2^(1/2)]]:
RatPtsR[0,2,12] := [[1+4*2^(1/2), 2+2^(1/2), 1+2*2^(1/2)], [1+4*2^(1/2), 2+4*2^(1/2), 4+2*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2*2^(1/2)]], [2*2^(1/2), 2+3*2^(1/2), 0], [2+2*2^(1/2), 3*2^(1/2), 0], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [3+2*2^(1/2), 1+2^(1/2), 2*2^(1/2)], [1, 2+4*2^(1/2), 0], [4, 3+3*2^(1/2), 3], [4+4*2^(1/2), 1, 0], [3+2*2^(1/2), 3*2^(1/2), 2+3*2^(1/2)], [3+3*2^(1/2), 1+2^(1/2), 2*2^(1/2)], [2+2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [[infinity, 1], [1, 1]], [2*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [2+4*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [3+2*2^(1/2), infinity, 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2+2^(1/2)]], [2*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [2+2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [infinity, 3+4*2^(1/2), 0], [2, 4+2^(1/2), 2], [3+2^(1/2), 4, 3+2*2^(1/2)], [2+2^(1/2), 2, 4+2^(1/2)]]:
RatPtsR[0,2,13] := [[1+2^(1/2), 3+4*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 4+2^(1/2), 4*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [3*2^(1/2), 1, 0], [2+3*2^(1/2), 2, 0], [[2+3*2^(1/2), infinity], [1, 3+4*2^(1/2)]], [2+4*2^(1/2), 0, 3+4*2^(1/2)], [infinity, 4+2^(1/2), 0], [2, 4+4*2^(1/2), 2], [3+4*2^(1/2), 2+3*2^(1/2), 0], [2+4*2^(1/2), 2, 1+2^(1/2)], [2+2^(1/2), 0, 2+4*2^(1/2)], [3+3*2^(1/2), 2, 4], [[2+2*2^(1/2), infinity], [1, 2+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [3*2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [3+2*2^(1/2), 4+4*2^(1/2), 1], [2+4*2^(1/2), 2+2*2^(1/2), 0], [[2+2*2^(1/2), 1], [1, 3+2^(1/2)]], [[infinity, infinity], [1, 3+2^(1/2)]], [3*2^(1/2), 4+2^(1/2), 4+2^(1/2)], [3+3*2^(1/2), 3+2^(1/2), 2+3*2^(1/2)], [1, 2+2^(1/2), 0], [4, 2+4*2^(1/2), 2+2*2^(1/2)], [4+2^(1/2), 2*2^(1/2), 4+4*2^(1/2)], [3+3*2^(1/2), 3*2^(1/2), 3+2*2^(1/2)]]:
RatPtsR[0,2,14] := [[1+2^(1/2), 4+4*2^(1/2), 4*2^(1/2)], [1+2^(1/2), 3+2^(1/2), 1+2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4*2^(1/2)]], [3*2^(1/2), infinity, 0], [2+3*2^(1/2), 4, 0], [[2+3*2^(1/2), 1], [1, 1+3*2^(1/2)]], [2+4*2^(1/2), 3, 1+3*2^(1/2)], [infinity, 3+2^(1/2), 0], [2, 3+4*2^(1/2), 1+2^(1/2)], [3+4*2^(1/2), 2+2*2^(1/2), 0], [2+4*2^(1/2), 4, 2+2*2^(1/2)], [2+2^(1/2), 3, 4+3*2^(1/2)], [3+3*2^(1/2), 4, 3], [[2+2*2^(1/2), 1], [1, 4+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [3*2^(1/2), 3+4*2^(1/2), 3], [3+2*2^(1/2), 3+4*2^(1/2), 3+3*2^(1/2)], [2+4*2^(1/2), 2+3*2^(1/2), 0], [[2+2*2^(1/2), infinity], [1, 4+3*2^(1/2)]], [[infinity, 1], [1, 1+2*2^(1/2)]], [3*2^(1/2), 3+2^(1/2), 1+2^(1/2)], [3+3*2^(1/2), 4+2^(1/2), 4], [1, 3+3*2^(1/2), 0], [4, 3+2*2^(1/2), 3], [4+2^(1/2), 3*2^(1/2), 4+2^(1/2)], [3+3*2^(1/2), 2*2^(1/2), 3+3*2^(1/2)]]:
RatPtsR[0,2,15] := [[1+2^(1/2), 3+3*2^(1/2), 3*2^(1/2)], [1+2^(1/2), 3+2*2^(1/2), 3*2^(1/2)], [[2+2*2^(1/2), 1], [1, 4+3*2^(1/2)]], [3*2^(1/2), 2+2*2^(1/2), 0], [2+3*2^(1/2), 2*2^(1/2), 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [2+4*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [infinity, 3+2*2^(1/2), 0], [2, 2+2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), infinity, 0], [2+4*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [2+2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [3+3*2^(1/2), 2*2^(1/2), 2+2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+2^(1/2)]], [[1, infinity], [1, 4]], [3*2^(1/2), 2+2^(1/2), 1+2^(1/2)], [3+2*2^(1/2), 2+2^(1/2), 3+2*2^(1/2)], [2+4*2^(1/2), 1, 0], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2^(1/2)]], [3*2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [3+3*2^(1/2), 2+4*2^(1/2), 2+2*2^(1/2)], [1, 4+4*2^(1/2), 0], [4, 3+2^(1/2), 2+3*2^(1/2)], [4+2^(1/2), 2, 3], [3+3*2^(1/2), 4, 2]]:
RatPtsR[0,2,16] := [[1+2^(1/2), 2+2^(1/2), 1+2*2^(1/2)], [1+2^(1/2), 2+4*2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 2+4*2^(1/2)]], [3*2^(1/2), 2+3*2^(1/2), 0], [2+3*2^(1/2), 3*2^(1/2), 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4*2^(1/2)]], [2+4*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [infinity, 2+4*2^(1/2), 0], [2, 3+3*2^(1/2), 4], [3+4*2^(1/2), 1, 0], [2+4*2^(1/2), 3*2^(1/2), 2], [2+2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [3+3*2^(1/2), 3*2^(1/2), 2+3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2]], [[1, 1], [1, 3]], [3*2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [3+2*2^(1/2), 3+3*2^(1/2), 2], [2+4*2^(1/2), infinity, 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [3*2^(1/2), 2+4*2^(1/2), 3], [3+3*2^(1/2), 3+2*2^(1/2), 3], [1, 3+4*2^(1/2), 0], [4, 4+2^(1/2), 4], [4+2^(1/2), 4, 1], [3+3*2^(1/2), 2, 1]]:
RatPtsR[1,0,1] := [[1, 4*2^(1/2), 0], [2+2*2^(1/2), 4+2*2^(1/2), 0], [4*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [4*2^(1/2), 2^(1/2), 2*2^(1/2)], [4*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+4*2^(1/2)]], [2+4*2^(1/2), 3, 1+3*2^(1/2)], [2, 1+2^(1/2), 2^(1/2)], [[1, infinity], [1, 3+3*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2*2^(1/2)]], [3+2^(1/2), 0, 2+4*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1+2^(1/2)]], [2*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [2*2^(1/2), 0, 3+4*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [[infinity, 1], [1, 4+2^(1/2)]], [3+2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [[infinity, infinity], [1, 3+4*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [2, 3, 2^(1/2)], [2+4*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+2^(1/2)]]]:
RatPtsR[1,0,2] := [[1, 4+2*2^(1/2), 0], [2+2*2^(1/2), 4*2^(1/2), 0], [4*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [4*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [4*2^(1/2), 2^(1/2), 3*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+2*2^(1/2)]], [2+4*2^(1/2), 0, 3+4*2^(1/2)], [2, 1+4*2^(1/2), 2^(1/2)], [[1, 1], [1, 1+2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 2^(1/2)]], [3+2^(1/2), 3, 4+3*2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 2]], [[2+3*2^(1/2), 1], [1, 2+2*2^(1/2)]], [2*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [2*2^(1/2), 3, 1+3*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1]], [[infinity, infinity], [1, 2+3*2^(1/2)]], [3+2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [[infinity, 1], [1, 1+3*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3]], [2, 0, 3*2^(1/2)], [2+4*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3]]]:
RatPtsR[1,0,3] := [[infinity, 4*2^(1/2), 0], [2+3*2^(1/2), 4+2*2^(1/2), 0], [4+2*2^(1/2), 1+2*2^(1/2), 1+3*2^(1/2)], [4+2*2^(1/2), 2^(1/2), 4+2*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [4+2*2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [[1, 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 3]], [3+2*2^(1/2), 3, 2*2^(1/2)], [4, 1+2^(1/2), 2*2^(1/2)], [[infinity, infinity], [1, 1+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2+4*2^(1/2)]], [4+2^(1/2), 0, 3*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3]], [3*2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [3*2^(1/2), 0, 2+4*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [[1, 1], [1, 2+3*2^(1/2)]], [4+2^(1/2), 1+4*2^(1/2), 2^(1/2)], [[1, infinity], [1, 4+2*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [4, 3, 2*2^(1/2)], [3+2*2^(1/2), 1+2^(1/2), 2*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+4*2^(1/2)]]]:
RatPtsR[1,0,4] := [[infinity, 4+2*2^(1/2), 0], [2+3*2^(1/2), 4*2^(1/2), 0], [4+2*2^(1/2), 1+2*2^(1/2), 4+2*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [4+2*2^(1/2), 2^(1/2), 1+3*2^(1/2)], [4+2*2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 4]], [3+2*2^(1/2), 0, 2^(1/2)], [4, 1+4*2^(1/2), 2*2^(1/2)], [[infinity, 1], [1, 2+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 1+2*2^(1/2)]], [4+2^(1/2), 3, 2^(1/2)], [[1, 2+3*2^(1/2)], [1, 1]], [[2+2*2^(1/2), 1], [1, 1]], [3*2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2*2^(1/2)]], [3*2^(1/2), 3, 4+3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [[1, infinity], [1, 1+4*2^(1/2)]], [4+2^(1/2), 1+2^(1/2), 2^(1/2)], [[1, 1], [1, 3+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1]], [4, 0, 2^(1/2)], [3+2*2^(1/2), 1+4*2^(1/2), 2*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+2^(1/2)]]]:
RatPtsR[1,0,5] := [[4*2^(1/2), 1, 0], [4+2*2^(1/2), 2+2*2^(1/2), 0], [1+2*2^(1/2), 4*2^(1/2), 2*2^(1/2)], [2^(1/2), 4*2^(1/2), 3*2^(1/2)], [4+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2+2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+2^(1/2)]], [3, 2+4*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 2, 4*2^(1/2)], [[infinity, 1], [1, 2+3*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2^(1/2)]], [0, 3+2^(1/2), 3+2^(1/2)], [[2+2*2^(1/2), infinity], [1, 4+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1+4*2^(1/2)]], [1+4*2^(1/2), 2*2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [0, 2*2^(1/2), 2+2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [[1, infinity], [1, 4+4*2^(1/2)]], [1+4*2^(1/2), 3+2^(1/2), 1+2*2^(1/2)], [[infinity, infinity], [1, 1+2*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 1+2^(1/2)]], [3, 2, 4*2^(1/2)], [1+2^(1/2), 2+4*2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+4*2^(1/2)]]]:
RatPtsR[1,0,6] := [[4+2*2^(1/2), 1, 0], [4*2^(1/2), 2+2*2^(1/2), 0], [1+2*2^(1/2), 4*2^(1/2), 3*2^(1/2)], [4+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [2^(1/2), 4*2^(1/2), 2*2^(1/2)], [1+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 3*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [0, 2+4*2^(1/2), 2+2^(1/2)], [1+4*2^(1/2), 2, 4*2^(1/2)], [[1, 1], [1, 1+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 2*2^(1/2)]], [3, 3+2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2]], [[1, 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [1+2^(1/2), 2*2^(1/2), 4+2*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [3, 2*2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4]], [[infinity, infinity], [1, 3+3*2^(1/2)]], [1+2^(1/2), 3+2^(1/2), 1+2*2^(1/2)], [[1, infinity], [1, 3+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3]], [0, 2, 2*2^(1/2)], [1+4*2^(1/2), 2+4*2^(1/2), 4+2*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3]]]:
RatPtsR[1,0,7] := [[4*2^(1/2), infinity, 0], [4+2*2^(1/2), 2+3*2^(1/2), 0], [1+2*2^(1/2), 4+2*2^(1/2), 4+2*2^(1/2)], [2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [1+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4+2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 3]], [3, 3+2*2^(1/2), 3*2^(1/2)], [1+2^(1/2), 4, 3*2^(1/2)], [[infinity, infinity], [1, 1+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [0, 4+2^(1/2), 2*2^(1/2)], [[2+2*2^(1/2), 1], [1, 3+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3]], [1+4*2^(1/2), 3*2^(1/2), 1+2*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [0, 3*2^(1/2), 3+2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [[1, 1], [1, 3+3*2^(1/2)]], [1+4*2^(1/2), 4+2^(1/2), 4*2^(1/2)], [[infinity, 1], [1, 2+4*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3+3*2^(1/2)]], [3, 4, 3*2^(1/2)], [1+2^(1/2), 3+2*2^(1/2), 3*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+2^(1/2)]]]:
RatPtsR[1,0,8] := [[4+2*2^(1/2), infinity, 0], [4*2^(1/2), 2+3*2^(1/2), 0], [1+2*2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [2^(1/2), 4+2*2^(1/2), 4+2*2^(1/2)], [1+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [[2+2*2^(1/2), 1], [1, 2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 1]], [0, 3+2*2^(1/2), 4*2^(1/2)], [1+4*2^(1/2), 4, 3*2^(1/2)], [[1, infinity], [1, 3+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [3, 4+2^(1/2), 4*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4]], [[1, 2+2*2^(1/2)], [1, 4]], [1+2^(1/2), 3*2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2^(1/2)]], [3, 3*2^(1/2), 1+2*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [[infinity, 1], [1, 1+2^(1/2)]], [1+2^(1/2), 4+2^(1/2), 4*2^(1/2)], [[1, 1], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 4]], [0, 4, 4*2^(1/2)], [1+4*2^(1/2), 3+2*2^(1/2), 3*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1+4*2^(1/2)]]]:
RatPtsR[1,0,9] := [[2+2*2^(1/2), 4+3*2^(1/2), 0], [2+3*2^(1/2), 4+3*2^(1/2), 0], [1+3*2^(1/2), 1, 0], [1+3*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [1+3*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), 2+3*2^(1/2), 0], [[infinity, 1], [1, 2*2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2]], [2*2^(1/2), 2+2^(1/2), 3], [4+4*2^(1/2), 4+2^(1/2), 3], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [3*2^(1/2), 2+2^(1/2), 1+2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[1, infinity], [1, 2+2^(1/2)]], [3+4*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [[1, 1], [1, 2^(1/2)]], [3+4*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 2^(1/2)]], [[infinity, infinity], [1, 4+2*2^(1/2)]], [3*2^(1/2), 3+4*2^(1/2), 3], [[infinity, 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 1]], [4+4*2^(1/2), 2+4*2^(1/2), 4+4*2^(1/2)], [2*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 2+2*2^(1/2)]]]:
RatPtsR[1,0,10] := [[2+2*2^(1/2), 2^(1/2), 0], [2+3*2^(1/2), 2^(1/2), 0], [1+3*2^(1/2), infinity, 0], [1+3*2^(1/2), 2^(1/2), 3*2^(1/2)], [1+3*2^(1/2), 2^(1/2), 2*2^(1/2)], [1+3*2^(1/2), 2+2*2^(1/2), 0], [[infinity, infinity], [1, 2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+2^(1/2)]], [2*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [4+4*2^(1/2), 3+2^(1/2), 4+2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [3*2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 1], [1, 4+2*2^(1/2)]], [3+4*2^(1/2), 3+2^(1/2), 3], [[1, infinity], [1, 3*2^(1/2)]], [3+4*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [[1, 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [[infinity, 1], [1, 3+4*2^(1/2)]], [3*2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 2]], [4+4*2^(1/2), 3+2*2^(1/2), 1], [2*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [[2+3*2^(1/2), 1], [1, 4+4*2^(1/2)]]]:
RatPtsR[1,0,11] := [[1, 4+3*2^(1/2), 0], [infinity, 4+3*2^(1/2), 0], [1+2*2^(1/2), 1, 0], [1+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [1+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [1+2*2^(1/2), 2+3*2^(1/2), 0], [[2+3*2^(1/2), 1], [1, 1+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [2, 2+2^(1/2), 4+2^(1/2)], [2+2^(1/2), 4+2^(1/2), 4+2^(1/2)], [[1, 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1+2*2^(1/2)]], [4, 2+2^(1/2), 3+2*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 3+2^(1/2)]], [3+3*2^(1/2), 4+2^(1/2), 1], [[2+2*2^(1/2), 1], [1, 4+2*2^(1/2)]], [3+3*2^(1/2), 2+4*2^(1/2), 3+3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 3*2^(1/2)]], [4, 3+4*2^(1/2), 3+3*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2^(1/2)]], [[1, infinity], [1, 2+3*2^(1/2)]], [2+2^(1/2), 2+4*2^(1/2), 3], [2, 3+4*2^(1/2), 4+4*2^(1/2)], [[infinity, infinity], [1, 4+2^(1/2)]]]:
RatPtsR[1,0,12] := [[1, 2^(1/2), 0], [infinity, 2^(1/2), 0], [1+2*2^(1/2), infinity, 0], [1+2*2^(1/2), 2^(1/2), 4+2*2^(1/2)], [1+2*2^(1/2), 2^(1/2), 1+3*2^(1/2)], [1+2*2^(1/2), 2+2*2^(1/2), 0], [[2+3*2^(1/2), infinity], [1, 3+2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4]], [2, 3+3*2^(1/2), 1], [2+2^(1/2), 3+2^(1/2), 1+2^(1/2)], [[1, 2+3*2^(1/2)], [1, 2]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2^(1/2)]], [4, 3+3*2^(1/2), 2], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [[2+2*2^(1/2), 1], [1, 1+2*2^(1/2)]], [3+3*2^(1/2), 3+2^(1/2), 3+2*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 2+2^(1/2)]], [3+3*2^(1/2), 3+2*2^(1/2), 2], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2^(1/2)]], [4, 4+4*2^(1/2), 1], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+2*2^(1/2)]], [[1, 1], [1, 4+2^(1/2)]], [2+2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [2, 4+4*2^(1/2), 3], [[infinity, 1], [1, 3+2*2^(1/2)]]]:
RatPtsR[1,0,13] := [[4+3*2^(1/2), 2+2*2^(1/2), 0], [4+3*2^(1/2), 2+3*2^(1/2), 0], [1, 1+3*2^(1/2), 0], [4+3*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [4+3*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [2+3*2^(1/2), 1+3*2^(1/2), 0], [[1, infinity], [1, 2^(1/2)]], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2]], [2+2^(1/2), 2*2^(1/2), 2], [4+2^(1/2), 4+4*2^(1/2), 2], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4+4*2^(1/2)]], [[2+3*2^(1/2), 1], [1, 2+4*2^(1/2)]], [2+2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 2^(1/2)]], [[infinity, 1], [1, 4+3*2^(1/2)]], [4+2^(1/2), 3+4*2^(1/2), 1+2^(1/2)], [[1, 1], [1, 2*2^(1/2)]], [2+4*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [[2+2*2^(1/2), 1], [1, 2*2^(1/2)]], [[infinity, infinity], [1, 2+4*2^(1/2)]], [3+4*2^(1/2), 3*2^(1/2), 2], [[2+3*2^(1/2), infinity], [1, 1+2*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 4]], [2+4*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [3+4*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [[infinity, 2+3*2^(1/2)], [1, 3+2*2^(1/2)]]]:
RatPtsR[1,0,14] := [[2^(1/2), 2+2*2^(1/2), 0], [2^(1/2), 2+3*2^(1/2), 0], [infinity, 1+3*2^(1/2), 0], [2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [2+2*2^(1/2), 1+3*2^(1/2), 0], [[infinity, infinity], [1, 2*2^(1/2)]], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [3+3*2^(1/2), 2*2^(1/2), 2+2*2^(1/2)], [3+2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4+2^(1/2)]], [[2+2*2^(1/2), 1], [1, 3+4*2^(1/2)]], [3+3*2^(1/2), 3*2^(1/2), 2+3*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 4+2*2^(1/2)]], [[1, 1], [1, 2+4*2^(1/2)]], [3+2^(1/2), 3+4*2^(1/2), 2], [[infinity, 1], [1, 4*2^(1/2)]], [3+2*2^(1/2), 3+4*2^(1/2), 2+2*2^(1/2)], [[2+3*2^(1/2), 1], [1, 3+4*2^(1/2)]], [[1, infinity], [1, 1+2*2^(1/2)]], [4+4*2^(1/2), 3*2^(1/2), 1+4*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 4+2*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 2]], [3+2*2^(1/2), 4+4*2^(1/2), 4], [4+4*2^(1/2), 2*2^(1/2), 1+2^(1/2)], [[1, 2+3*2^(1/2)], [1, 4+2^(1/2)]]]:
RatPtsR[1,0,15] := [[4+3*2^(1/2), 1, 0], [4+3*2^(1/2), infinity, 0], [1, 1+2*2^(1/2), 0], [4+3*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [4+3*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [2+3*2^(1/2), 1+2*2^(1/2), 0], [[1, 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[2+2*2^(1/2), infinity], [1, 2+3*2^(1/2)]], [2+2^(1/2), 2, 1+4*2^(1/2)], [4+2^(1/2), 2+2^(1/2), 1+4*2^(1/2)], [[2+2*2^(1/2), 1], [1, 4+2^(1/2)]], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [2+2^(1/2), 4, 2+3*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+4*2^(1/2)]], [[infinity, 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [4+2^(1/2), 3+3*2^(1/2), 4], [[1, 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [2+4*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+4*2^(1/2)]], [[infinity, 2+3*2^(1/2)], [1, 4*2^(1/2)]], [3+4*2^(1/2), 4, 2+2*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2*2^(1/2)]], [[infinity, 1], [1, 3+3*2^(1/2)]], [2+4*2^(1/2), 2+2^(1/2), 2], [3+4*2^(1/2), 2, 1+2^(1/2)], [[infinity, infinity], [1, 4+4*2^(1/2)]]]:
RatPtsR[1,0,16] := [[2^(1/2), 1, 0], [2^(1/2), infinity, 0], [infinity, 1+2*2^(1/2), 0], [2^(1/2), 1+2*2^(1/2), 1+3*2^(1/2)], [2^(1/2), 1+2*2^(1/2), 4+2*2^(1/2)], [2+2*2^(1/2), 1+2*2^(1/2), 0], [[infinity, 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [[2+3*2^(1/2), infinity], [1, 1]], [3+3*2^(1/2), 2, 4], [3+2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [[2+3*2^(1/2), 1], [1, 2]], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2*2^(1/2)]], [3+3*2^(1/2), 4, 3], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 2+2*2^(1/2)], [1, 3+4*2^(1/2)]], [3+2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [3+2*2^(1/2), 3+3*2^(1/2), 3], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2*2^(1/2)]], [[1, 2+3*2^(1/2)], [1, 2*2^(1/2)]], [4+4*2^(1/2), 4, 4], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+4*2^(1/2)]], [[1, 1], [1, 4+4*2^(1/2)]], [3+2*2^(1/2), 2+2^(1/2), 2+3*2^(1/2)], [4+4*2^(1/2), 2, 2], [[1, infinity], [1, 2+2*2^(1/2)]]]:
RatPtsR[1,1,1] := [[[infinity, infinity], [1, 3*2^(1/2)]], [0, 3+3*2^(1/2), 4*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 1+3*2^(1/2)]], [4+4*2^(1/2), 0, 2*2^(1/2)], [1+2^(1/2), 3+3*2^(1/2), 3*2^(1/2)], [3+3*2^(1/2), 0, 4*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 4+4*2^(1/2), 4*2^(1/2)], [3+2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [3*2^(1/2), 2*2^(1/2), 2], [2, 2*2^(1/2), 1+2^(1/2)], [3+4*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [2^(1/2), 1, 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+2^(1/2)]], [4, 4, 3], [1+2*2^(1/2), 2^(1/2), 1+3*2^(1/2)], [2+2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [4+3*2^(1/2), 2+3*2^(1/2), 0], [[1, 2+2*2^(1/2)], [1, 3+2^(1/2)]], [3+2*2^(1/2), 3+2*2^(1/2), 2], [4*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [1+3*2^(1/2), 2^(1/2), 3*2^(1/2)], [3, 4+4*2^(1/2), 4*2^(1/2)], [2*2^(1/2), 4, 2+2*2^(1/2)], [2+4*2^(1/2), 3+2^(1/2), 3], [4+2^(1/2), 3+2^(1/2), 4+2^(1/2)]]:
RatPtsR[1,1,2] := [[[infinity, 1], [1, 2^(1/2)]], [0, 2+2^(1/2), 3+2^(1/2)], [[2+2*2^(1/2), 1], [1, 2+2^(1/2)]], [4+4*2^(1/2), 3, 4*2^(1/2)], [1+2^(1/2), 2+2^(1/2), 1+2*2^(1/2)], [3+3*2^(1/2), 3, 3*2^(1/2)], [4+2*2^(1/2), 2^(1/2), 4+2*2^(1/2)], [1+4*2^(1/2), 3+4*2^(1/2), 4+2*2^(1/2)], [3+2^(1/2), 2+4*2^(1/2), 3], [3*2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [2, 3*2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [2^(1/2), infinity, 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3*2^(1/2)]], [4, 2, 4], [1+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [2+2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [4+3*2^(1/2), 2+2*2^(1/2), 0], [[1, 2+3*2^(1/2)], [1, 2+2^(1/2)]], [3+2*2^(1/2), 2+4*2^(1/2), 3+3*2^(1/2)], [4*2^(1/2), 2^(1/2), 3*2^(1/2)], [1+3*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [3, 3+4*2^(1/2), 4+2*2^(1/2)], [2*2^(1/2), 2, 1+2^(1/2)], [2+4*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 4+2^(1/2), 3]]:
RatPtsR[1,1,3] := [[[infinity, 2+3*2^(1/2)], [1, 4+2*2^(1/2)]], [0, 3+4*2^(1/2), 2+2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+2^(1/2)]], [4+4*2^(1/2), 1+4*2^(1/2), 4*2^(1/2)], [1+2^(1/2), 3+4*2^(1/2), 4+2*2^(1/2)], [3+3*2^(1/2), 1+4*2^(1/2), 3*2^(1/2)], [4+2*2^(1/2), 2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 2+2^(1/2), 1+2*2^(1/2)], [3+2^(1/2), 4+2^(1/2), 4+2^(1/2)], [3*2^(1/2), 2, 1+4*2^(1/2)], [2, 2, 2], [3+4*2^(1/2), 3, 4+2*2^(1/2)], [2^(1/2), 2+2*2^(1/2), 0], [[2+3*2^(1/2), 1], [1, 3+2^(1/2)]], [4, 3*2^(1/2), 2+3*2^(1/2)], [1+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [2+2^(1/2), 3, 1+2*2^(1/2)], [4+3*2^(1/2), infinity, 0], [[1, 1], [1, 3*2^(1/2)]], [3+2*2^(1/2), 4+2^(1/2), 1], [4*2^(1/2), 2^(1/2), 2*2^(1/2)], [1+3*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [3, 2+2^(1/2), 1+2*2^(1/2)], [2*2^(1/2), 3*2^(1/2), 2], [2+4*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [4+2^(1/2), 2+4*2^(1/2), 4+4*2^(1/2)]]:
RatPtsR[1,1,4] := [[[infinity, 2+2*2^(1/2)], [1, 1+2*2^(1/2)]], [0, 4+4*2^(1/2), 2*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3*2^(1/2)]], [4+4*2^(1/2), 1+2^(1/2), 4*2^(1/2)], [1+2^(1/2), 4+4*2^(1/2), 4*2^(1/2)], [3+3*2^(1/2), 1+2^(1/2), 3*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [1+4*2^(1/2), 3+3*2^(1/2), 3*2^(1/2)], [3+2^(1/2), 3+2^(1/2), 1+2^(1/2)], [3*2^(1/2), 4, 2+3*2^(1/2)], [2, 4, 4], [3+4*2^(1/2), 0, 2+2^(1/2)], [2^(1/2), 2+3*2^(1/2), 0], [[2+3*2^(1/2), infinity], [1, 4+3*2^(1/2)]], [4, 2*2^(1/2), 2+2*2^(1/2)], [1+2*2^(1/2), 2^(1/2), 4+2*2^(1/2)], [2+2^(1/2), 0, 3+2^(1/2)], [4+3*2^(1/2), 1, 0], [[1, infinity], [1, 4*2^(1/2)]], [3+2*2^(1/2), 3+2^(1/2), 3+2*2^(1/2)], [4*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), 2^(1/2), 2*2^(1/2)], [3, 3+3*2^(1/2), 3*2^(1/2)], [2*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [2+4*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [4+2^(1/2), 3+2*2^(1/2), 1]]:
RatPtsR[1,1,5] := [[[infinity, infinity], [1, 4*2^(1/2)]], [3+3*2^(1/2), 0, 2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 3+2^(1/2)]], [0, 4+4*2^(1/2), 3*2^(1/2)], [3+3*2^(1/2), 1+2^(1/2), 2*2^(1/2)], [0, 3+3*2^(1/2), 2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [4+4*2^(1/2), 1+4*2^(1/2), 2^(1/2)], [3+2*2^(1/2), 3+2^(1/2), 2+3*2^(1/2)], [2*2^(1/2), 3*2^(1/2), 3], [2*2^(1/2), 2, 4+4*2^(1/2)], [1+2^(1/2), 3+4*2^(1/2), 1+3*2^(1/2)], [1, 2^(1/2), 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 4+3*2^(1/2)]], [4, 4, 2], [2^(1/2), 1+2*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 2+2^(1/2), 4+3*2^(1/2)], [2+3*2^(1/2), 4+3*2^(1/2), 0], [[2+2*2^(1/2), 1], [1, 1+3*2^(1/2)]], [3+2*2^(1/2), 3+2*2^(1/2), 3], [4+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [4+4*2^(1/2), 3, 2^(1/2)], [4, 2*2^(1/2), 3+3*2^(1/2)], [3+2^(1/2), 2+4*2^(1/2), 2], [3+2^(1/2), 4+2^(1/2), 1+4*2^(1/2)]]:
RatPtsR[1,1,6] := [[[1, infinity], [1, 2*2^(1/2)]], [2+2^(1/2), 0, 2+4*2^(1/2)], [[1, 2+2*2^(1/2)], [1, 4+3*2^(1/2)]], [3, 4+4*2^(1/2), 2^(1/2)], [2+2^(1/2), 1+2^(1/2), 4+3*2^(1/2)], [3, 3+3*2^(1/2), 2*2^(1/2)], [2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [3+4*2^(1/2), 1+4*2^(1/2), 1+3*2^(1/2)], [2+4*2^(1/2), 3+2^(1/2), 2], [3*2^(1/2), 3*2^(1/2), 1+2^(1/2)], [3*2^(1/2), 2, 4+2^(1/2)], [1+4*2^(1/2), 3+4*2^(1/2), 1+3*2^(1/2)], [infinity, 2^(1/2), 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4*2^(1/2)]], [2, 4, 1], [4+3*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 2+2^(1/2), 4+3*2^(1/2)], [2+2*2^(1/2), 4+3*2^(1/2), 0], [[2+3*2^(1/2), 1], [1, 4+3*2^(1/2)]], [2+4*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [2^(1/2), 4*2^(1/2), 2*2^(1/2)], [4+3*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [3+4*2^(1/2), 3, 1+3*2^(1/2)], [2, 2*2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 2+4*2^(1/2), 1+2^(1/2)], [4+2^(1/2), 4+2^(1/2), 2]]:
RatPtsR[1,1,7] := [[[2+3*2^(1/2), infinity], [1, 2+4*2^(1/2)]], [3+4*2^(1/2), 0, 3+4*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 1+3*2^(1/2)]], [1+4*2^(1/2), 4+4*2^(1/2), 2^(1/2)], [3+4*2^(1/2), 1+2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 3+3*2^(1/2), 2*2^(1/2)], [2^(1/2), 4+2*2^(1/2), 4+2*2^(1/2)], [2+2^(1/2), 1+4*2^(1/2), 4+3*2^(1/2)], [4+2^(1/2), 3+2^(1/2), 1+4*2^(1/2)], [2, 3*2^(1/2), 4+2^(1/2)], [2, 2, 3], [3, 3+4*2^(1/2), 1+3*2^(1/2)], [2+2*2^(1/2), 2^(1/2), 0], [[1, 2+3*2^(1/2)], [1, 1+3*2^(1/2)]], [3*2^(1/2), 4, 3+2*2^(1/2)], [4+3*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [3, 2+2^(1/2), 4+3*2^(1/2)], [infinity, 4+3*2^(1/2), 0], [[1, 1], [1, 4*2^(1/2)]], [4+2^(1/2), 3+2*2^(1/2), 4], [2^(1/2), 4*2^(1/2), 3*2^(1/2)], [4+3*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [2+2^(1/2), 3, 4+3*2^(1/2)], [3*2^(1/2), 2*2^(1/2), 3], [2+4*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [2+4*2^(1/2), 4+2^(1/2), 1+2^(1/2)]]:
RatPtsR[1,1,8] := [[[2+2*2^(1/2), infinity], [1, 3+4*2^(1/2)]], [4+4*2^(1/2), 0, 3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4*2^(1/2)]], [1+2^(1/2), 4+4*2^(1/2), 2^(1/2)], [4+4*2^(1/2), 1+2^(1/2), 2^(1/2)], [1+2^(1/2), 3+3*2^(1/2), 2*2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [3+3*2^(1/2), 1+4*2^(1/2), 2*2^(1/2)], [3+2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [4, 3*2^(1/2), 3+2*2^(1/2)], [4, 2, 1], [0, 3+4*2^(1/2), 3+4*2^(1/2)], [2+3*2^(1/2), 2^(1/2), 0], [[infinity, 2+3*2^(1/2)], [1, 2+2^(1/2)]], [2*2^(1/2), 4, 3+3*2^(1/2)], [2^(1/2), 1+2*2^(1/2), 1+3*2^(1/2)], [0, 2+2^(1/2), 2+4*2^(1/2)], [1, 4+3*2^(1/2), 0], [[infinity, 1], [1, 3*2^(1/2)]], [3+2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [4+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [3+3*2^(1/2), 3, 2*2^(1/2)], [2*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [3+2*2^(1/2), 2+4*2^(1/2), 2+2*2^(1/2)], [3+2*2^(1/2), 4+2^(1/2), 4]]:
RatPtsR[1,1,9] := [[[infinity, infinity], [1, 1]], [4, 3+2*2^(1/2), 3], [[1, infinity], [1, 3]], [2+4*2^(1/2), 0, 2+2^(1/2)], [2, 3+2*2^(1/2), 4], [3+2*2^(1/2), 0, 4*2^(1/2)], [2+3*2^(1/2), 4*2^(1/2), 0], [4, 4+2^(1/2), 4], [3, 4, 2*2^(1/2)], [3+3*2^(1/2), 3+4*2^(1/2), 3+3*2^(1/2)], [2+2^(1/2), 3+4*2^(1/2), 3], [3+2*2^(1/2), 1+4*2^(1/2), 3*2^(1/2)], [1+2*2^(1/2), 2+2*2^(1/2), 0], [[infinity, 2+3*2^(1/2)], [1, 4+4*2^(1/2)]], [3+3*2^(1/2), 3+3*2^(1/2), 2], [1+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [2+4*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)], [1+2*2^(1/2), 1, 0], [[1, 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [0, 4, 2^(1/2)], [2+2*2^(1/2), 4*2^(1/2), 0], [1+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [2, 4+2^(1/2), 2], [2+2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [3, 3*2^(1/2), 4+3*2^(1/2)], [0, 3*2^(1/2), 2+4*2^(1/2)]]:
RatPtsR[1,1,10] := [[[infinity, 1], [1, 2]], [4, 2+4*2^(1/2), 2+2*2^(1/2)], [[1, 1], [1, 1]], [2+4*2^(1/2), 3, 4+2*2^(1/2)], [2, 2+4*2^(1/2), 1+2^(1/2)], [3+2*2^(1/2), 3, 3*2^(1/2)], [2+3*2^(1/2), 4+2*2^(1/2), 0], [4, 3+2^(1/2), 2+3*2^(1/2)], [3, 2, 2^(1/2)], [3+3*2^(1/2), 4+4*2^(1/2), 1], [2+2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [3+2*2^(1/2), 1+2^(1/2), 3*2^(1/2)], [1+2*2^(1/2), 2+3*2^(1/2), 0], [[infinity, 2+2*2^(1/2)], [1, 4+2^(1/2)]], [3+3*2^(1/2), 2+2^(1/2), 3+2*2^(1/2)], [1+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [2+4*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [1+2*2^(1/2), infinity, 0], [[1, 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [0, 2, 3*2^(1/2)], [2+2*2^(1/2), 4+2*2^(1/2), 0], [1+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [2, 3+2^(1/2), 1+4*2^(1/2)], [2+2^(1/2), 2+2^(1/2), 1+2^(1/2)], [3, 2*2^(1/2), 1+3*2^(1/2)], [0, 2*2^(1/2), 3+4*2^(1/2)]]:
RatPtsR[1,1,11] := [[[2+3*2^(1/2), infinity], [1, 1+4*2^(1/2)]], [3*2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 1+2^(1/2)]], [3+2^(1/2), 0, 3+2^(1/2)], [2*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [4+2^(1/2), 0, 2*2^(1/2)], [infinity, 4*2^(1/2), 0], [3*2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [1+2^(1/2), 4, 2*2^(1/2)], [3+4*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [4+4*2^(1/2), 3+4*2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 1+4*2^(1/2), 4*2^(1/2)], [1+3*2^(1/2), 2+2*2^(1/2), 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 1]], [3+4*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [1+2*2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [3+2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), 1, 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [1+4*2^(1/2), 4, 2*2^(1/2)], [1, 4*2^(1/2), 0], [1+2*2^(1/2), 4+2*2^(1/2), 4+2*2^(1/2)], [2*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [4+4*2^(1/2), 3+3*2^(1/2), 1], [1+2^(1/2), 3*2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 3*2^(1/2), 4+3*2^(1/2)]]:
RatPtsR[1,1,12] := [[[2+3*2^(1/2), 1], [1, 2+3*2^(1/2)]], [3*2^(1/2), 2+4*2^(1/2), 2], [[2+2*2^(1/2), 1], [1, 2+2*2^(1/2)]], [3+2^(1/2), 3, 1+2*2^(1/2)], [2*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [4+2^(1/2), 3, 4*2^(1/2)], [infinity, 4+2*2^(1/2), 0], [3*2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [1+2^(1/2), 2, 2^(1/2)], [3+4*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [4+4*2^(1/2), 4+4*2^(1/2), 3], [4+2^(1/2), 1+2^(1/2), 4*2^(1/2)], [1+3*2^(1/2), 2+3*2^(1/2), 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [3+4*2^(1/2), 2+2^(1/2), 3], [1+2*2^(1/2), 4*2^(1/2), 3*2^(1/2)], [3+2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [1+3*2^(1/2), infinity, 0], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 1]], [1+4*2^(1/2), 2, 2^(1/2)], [1, 4+2*2^(1/2), 0], [1+2*2^(1/2), 4*2^(1/2), 2*2^(1/2)], [2*2^(1/2), 3+2^(1/2), 2], [4+4*2^(1/2), 2+2^(1/2), 4+2^(1/2)], [1+2^(1/2), 2*2^(1/2), 1+3*2^(1/2)], [1+4*2^(1/2), 2*2^(1/2), 1+3*2^(1/2)]]:
RatPtsR[1,1,13] := [[[infinity, infinity], [1, 4]], [3+2*2^(1/2), 4, 2], [[infinity, 1], [1, 3]], [0, 2+4*2^(1/2), 3+4*2^(1/2)], [3+2*2^(1/2), 2, 1], [0, 3+2*2^(1/2), 2^(1/2)], [4*2^(1/2), 2+3*2^(1/2), 0], [4+2^(1/2), 4, 1], [4, 3, 3*2^(1/2)], [3+4*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [3+4*2^(1/2), 2+2^(1/2), 2], [1+4*2^(1/2), 3+2*2^(1/2), 2*2^(1/2)], [2+2*2^(1/2), 1+2*2^(1/2), 0], [[2+3*2^(1/2), infinity], [1, 4+2^(1/2)]], [3+3*2^(1/2), 3+3*2^(1/2), 3], [4+2*2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 2+4*2^(1/2), 1+3*2^(1/2)], [1, 1+2*2^(1/2), 0], [[2+3*2^(1/2), 1], [1, 3+2*2^(1/2)]], [4, 0, 4*2^(1/2)], [4*2^(1/2), 2+2*2^(1/2), 0], [4+2*2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [4+2^(1/2), 2, 3], [3+3*2^(1/2), 2+2^(1/2), 2+3*2^(1/2)], [3*2^(1/2), 3, 1+2*2^(1/2)], [3*2^(1/2), 0, 3+2^(1/2)]]:
RatPtsR[1,1,14] := [[[1, infinity], [1, 2]], [2+4*2^(1/2), 4, 3+3*2^(1/2)], [[1, 1], [1, 4]], [3, 2+4*2^(1/2), 1+3*2^(1/2)], [2+4*2^(1/2), 2, 4+4*2^(1/2)], [3, 3+2*2^(1/2), 2*2^(1/2)], [4+2*2^(1/2), 2+3*2^(1/2), 0], [3+2^(1/2), 4, 3+2*2^(1/2)], [2, 3, 4*2^(1/2)], [4+4*2^(1/2), 3+3*2^(1/2), 4], [4+4*2^(1/2), 2+2^(1/2), 1+4*2^(1/2)], [1+2^(1/2), 3+2*2^(1/2), 2*2^(1/2)], [2+3*2^(1/2), 1+2*2^(1/2), 0], [[2+2*2^(1/2), infinity], [1, 4+4*2^(1/2)]], [2+2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [1+2^(1/2), 2+4*2^(1/2), 1+3*2^(1/2)], [infinity, 1+2*2^(1/2), 0], [[2+2*2^(1/2), 1], [1, 3+3*2^(1/2)]], [2, 0, 2*2^(1/2)], [4+2*2^(1/2), 2+2*2^(1/2), 0], [4*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [3+2^(1/2), 2, 4+2^(1/2)], [2+2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [2*2^(1/2), 3, 4+2*2^(1/2)], [2*2^(1/2), 0, 2+2^(1/2)]]:
RatPtsR[1,1,15] := [[[infinity, 2+3*2^(1/2)], [1, 1+2^(1/2)]], [3+2*2^(1/2), 3*2^(1/2), 3+2*2^(1/2)], [[infinity, 2+2*2^(1/2)], [1, 1+4*2^(1/2)]], [0, 3+2^(1/2), 2+4*2^(1/2)], [3+2*2^(1/2), 2*2^(1/2), 3+3*2^(1/2)], [0, 4+2^(1/2), 3*2^(1/2)], [4*2^(1/2), infinity, 0], [4+2^(1/2), 3*2^(1/2), 4+2^(1/2)], [4, 1+2^(1/2), 3*2^(1/2)], [3+4*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [3+4*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [1+4*2^(1/2), 4+2^(1/2), 2^(1/2)], [2+2*2^(1/2), 1+3*2^(1/2), 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 4]], [3+3*2^(1/2), 3+4*2^(1/2), 2+2*2^(1/2)], [4+2*2^(1/2), 1+2*2^(1/2), 4+2*2^(1/2)], [1+4*2^(1/2), 3+2^(1/2), 4+3*2^(1/2)], [1, 1+3*2^(1/2), 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [4, 1+4*2^(1/2), 3*2^(1/2)], [4*2^(1/2), 1, 0], [4+2*2^(1/2), 1+2*2^(1/2), 1+3*2^(1/2)], [4+2^(1/2), 2*2^(1/2), 4+4*2^(1/2)], [3+3*2^(1/2), 4+4*2^(1/2), 4], [3*2^(1/2), 1+2^(1/2), 1+2*2^(1/2)], [3*2^(1/2), 1+4*2^(1/2), 1+2*2^(1/2)]]:
RatPtsR[1,1,16] := [[[1, 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [2+4*2^(1/2), 3*2^(1/2), 3], [[1, 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [3, 3+2^(1/2), 4+3*2^(1/2)], [2+4*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [3, 4+2^(1/2), 2^(1/2)], [4+2*2^(1/2), infinity, 0], [3+2^(1/2), 3*2^(1/2), 1+2^(1/2)], [2, 1+2^(1/2), 4*2^(1/2)], [4+4*2^(1/2), 3+4*2^(1/2), 1+2^(1/2)], [4+4*2^(1/2), 4+4*2^(1/2), 2], [1+2^(1/2), 4+2^(1/2), 2^(1/2)], [2+3*2^(1/2), 1+3*2^(1/2), 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [2+2^(1/2), 3+4*2^(1/2), 2], [4*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [1+2^(1/2), 3+2^(1/2), 4+3*2^(1/2)], [infinity, 1+3*2^(1/2), 0], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 4]], [2, 1+4*2^(1/2), 4*2^(1/2)], [4+2*2^(1/2), 1, 0], [4*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [3+2^(1/2), 2*2^(1/2), 3], [2+2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [2*2^(1/2), 1+2^(1/2), 4+2*2^(1/2)], [2*2^(1/2), 1+4*2^(1/2), 4+2*2^(1/2)]]:
RatPtsR[1,2,1] := [[[infinity, infinity], [1, 0]], [0, infinity, 0], [[1, infinity], [1, 0]], [2, infinity, 0], [3, infinity, 0], [4, infinity, 0], [2^(1/2), infinity, 0], [1+2^(1/2), infinity, 0], [2+2^(1/2), infinity, 0], [3+2^(1/2), infinity, 0], [4+2^(1/2), infinity, 0], [2*2^(1/2), infinity, 0], [1+2*2^(1/2), infinity, 0], [[2+2*2^(1/2), infinity], [1, 0]], [3+2*2^(1/2), infinity, 0], [4+2*2^(1/2), infinity, 0], [3*2^(1/2), infinity, 0], [1+3*2^(1/2), infinity, 0], [[2+3*2^(1/2), infinity], [1, 0]], [3+3*2^(1/2), infinity, 0], [4+3*2^(1/2), infinity, 0], [4*2^(1/2), infinity, 0], [1+4*2^(1/2), infinity, 0], [2+4*2^(1/2), infinity, 0], [3+4*2^(1/2), infinity, 0], [4+4*2^(1/2), infinity, 0]]:
RatPtsR[1,2,2] := [[[infinity, 1], [1, 0]], [0, 1, 0], [[1, 1], [1, 0]], [2, 1, 0], [3, 1, 0], [4, 1, 0], [2^(1/2), 1, 0], [1+2^(1/2), 1, 0], [2+2^(1/2), 1, 0], [3+2^(1/2), 1, 0], [4+2^(1/2), 1, 0], [2*2^(1/2), 1, 0], [1+2*2^(1/2), 1, 0], [[2+2*2^(1/2), 1], [1, 0]], [3+2*2^(1/2), 1, 0], [4+2*2^(1/2), 1, 0], [3*2^(1/2), 1, 0], [1+3*2^(1/2), 1, 0], [[2+3*2^(1/2), 1], [1, 0]], [3+3*2^(1/2), 1, 0], [4+3*2^(1/2), 1, 0], [4*2^(1/2), 1, 0], [1+4*2^(1/2), 1, 0], [2+4*2^(1/2), 1, 0], [3+4*2^(1/2), 1, 0], [4+4*2^(1/2), 1, 0]]:
RatPtsR[1,2,3] := [[[infinity, 2+3*2^(1/2)], [1, 0]], [0, 2+3*2^(1/2), 0], [[1, 2+3*2^(1/2)], [1, 0]], [2, 2+3*2^(1/2), 0], [3, 2+3*2^(1/2), 0], [4, 2+3*2^(1/2), 0], [2^(1/2), 2+3*2^(1/2), 0], [1+2^(1/2), 2+3*2^(1/2), 0], [2+2^(1/2), 2+3*2^(1/2), 0], [3+2^(1/2), 2+3*2^(1/2), 0], [4+2^(1/2), 2+3*2^(1/2), 0], [2*2^(1/2), 2+3*2^(1/2), 0], [1+2*2^(1/2), 2+3*2^(1/2), 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 0]], [3+2*2^(1/2), 2+3*2^(1/2), 0], [4+2*2^(1/2), 2+3*2^(1/2), 0], [3*2^(1/2), 2+3*2^(1/2), 0], [1+3*2^(1/2), 2+3*2^(1/2), 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 0]], [3+3*2^(1/2), 2+3*2^(1/2), 0], [4+3*2^(1/2), 2+3*2^(1/2), 0], [4*2^(1/2), 2+3*2^(1/2), 0], [1+4*2^(1/2), 2+3*2^(1/2), 0], [2+4*2^(1/2), 2+3*2^(1/2), 0], [3+4*2^(1/2), 2+3*2^(1/2), 0], [4+4*2^(1/2), 2+3*2^(1/2), 0]]:
RatPtsR[1,2,4] := [[[infinity, 2+2*2^(1/2)], [1, 0]], [0, 2+2*2^(1/2), 0], [[1, 2+2*2^(1/2)], [1, 0]], [2, 2+2*2^(1/2), 0], [3, 2+2*2^(1/2), 0], [4, 2+2*2^(1/2), 0], [2^(1/2), 2+2*2^(1/2), 0], [1+2^(1/2), 2+2*2^(1/2), 0], [2+2^(1/2), 2+2*2^(1/2), 0], [3+2^(1/2), 2+2*2^(1/2), 0], [4+2^(1/2), 2+2*2^(1/2), 0], [2*2^(1/2), 2+2*2^(1/2), 0], [1+2*2^(1/2), 2+2*2^(1/2), 0], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 0]], [3+2*2^(1/2), 2+2*2^(1/2), 0], [4+2*2^(1/2), 2+2*2^(1/2), 0], [3*2^(1/2), 2+2*2^(1/2), 0], [1+3*2^(1/2), 2+2*2^(1/2), 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 0]], [3+3*2^(1/2), 2+2*2^(1/2), 0], [4+3*2^(1/2), 2+2*2^(1/2), 0], [4*2^(1/2), 2+2*2^(1/2), 0], [1+4*2^(1/2), 2+2*2^(1/2), 0], [2+4*2^(1/2), 2+2*2^(1/2), 0], [3+4*2^(1/2), 2+2*2^(1/2), 0], [4+4*2^(1/2), 2+2*2^(1/2), 0]]:
RatPtsR[1,2,5] := [[[infinity, infinity], [0, 1]], [infinity, 0, 0], [[infinity, 1], [0, 1]], [infinity, 2, 0], [infinity, 3, 0], [infinity, 4, 0], [infinity, 2^(1/2), 0], [infinity, 1+2^(1/2), 0], [infinity, 2+2^(1/2), 0], [infinity, 3+2^(1/2), 0], [infinity, 4+2^(1/2), 0], [infinity, 2*2^(1/2), 0], [infinity, 1+2*2^(1/2), 0], [[infinity, 2+2*2^(1/2)], [0, 1]], [infinity, 3+2*2^(1/2), 0], [infinity, 4+2*2^(1/2), 0], [infinity, 3*2^(1/2), 0], [infinity, 1+3*2^(1/2), 0], [[infinity, 2+3*2^(1/2)], [0, 1]], [infinity, 3+3*2^(1/2), 0], [infinity, 4+3*2^(1/2), 0], [infinity, 4*2^(1/2), 0], [infinity, 1+4*2^(1/2), 0], [infinity, 2+4*2^(1/2), 0], [infinity, 3+4*2^(1/2), 0], [infinity, 4+4*2^(1/2), 0]]:
RatPtsR[1,2,6] := [[[1, infinity], [0, 1]], [1, 0, 0], [[1, 1], [0, 1]], [1, 2, 0], [1, 3, 0], [1, 4, 0], [1, 2^(1/2), 0], [1, 1+2^(1/2), 0], [1, 2+2^(1/2), 0], [1, 3+2^(1/2), 0], [1, 4+2^(1/2), 0], [1, 2*2^(1/2), 0], [1, 1+2*2^(1/2), 0], [[1, 2+2*2^(1/2)], [0, 1]], [1, 3+2*2^(1/2), 0], [1, 4+2*2^(1/2), 0], [1, 3*2^(1/2), 0], [1, 1+3*2^(1/2), 0], [[1, 2+3*2^(1/2)], [0, 1]], [1, 3+3*2^(1/2), 0], [1, 4+3*2^(1/2), 0], [1, 4*2^(1/2), 0], [1, 1+4*2^(1/2), 0], [1, 2+4*2^(1/2), 0], [1, 3+4*2^(1/2), 0], [1, 4+4*2^(1/2), 0]]:
RatPtsR[1,2,7] := [[[2+3*2^(1/2), infinity], [0, 1]], [2+3*2^(1/2), 0, 0], [[2+3*2^(1/2), 1], [0, 1]], [2+3*2^(1/2), 2, 0], [2+3*2^(1/2), 3, 0], [2+3*2^(1/2), 4, 0], [2+3*2^(1/2), 2^(1/2), 0], [2+3*2^(1/2), 1+2^(1/2), 0], [2+3*2^(1/2), 2+2^(1/2), 0], [2+3*2^(1/2), 3+2^(1/2), 0], [2+3*2^(1/2), 4+2^(1/2), 0], [2+3*2^(1/2), 2*2^(1/2), 0], [2+3*2^(1/2), 1+2*2^(1/2), 0], [[2+3*2^(1/2), 2+2*2^(1/2)], [0, 1]], [2+3*2^(1/2), 3+2*2^(1/2), 0], [2+3*2^(1/2), 4+2*2^(1/2), 0], [2+3*2^(1/2), 3*2^(1/2), 0], [2+3*2^(1/2), 1+3*2^(1/2), 0], [[2+3*2^(1/2), 2+3*2^(1/2)], [0, 1]], [2+3*2^(1/2), 3+3*2^(1/2), 0], [2+3*2^(1/2), 4+3*2^(1/2), 0], [2+3*2^(1/2), 4*2^(1/2), 0], [2+3*2^(1/2), 1+4*2^(1/2), 0], [2+3*2^(1/2), 2+4*2^(1/2), 0], [2+3*2^(1/2), 3+4*2^(1/2), 0], [2+3*2^(1/2), 4+4*2^(1/2), 0]]:
RatPtsR[1,2,8] := [[[2+2*2^(1/2), infinity], [0, 1]], [2+2*2^(1/2), 0, 0], [[2+2*2^(1/2), 1], [0, 1]], [2+2*2^(1/2), 2, 0], [2+2*2^(1/2), 3, 0], [2+2*2^(1/2), 4, 0], [2+2*2^(1/2), 2^(1/2), 0], [2+2*2^(1/2), 1+2^(1/2), 0], [2+2*2^(1/2), 2+2^(1/2), 0], [2+2*2^(1/2), 3+2^(1/2), 0], [2+2*2^(1/2), 4+2^(1/2), 0], [2+2*2^(1/2), 2*2^(1/2), 0], [2+2*2^(1/2), 1+2*2^(1/2), 0], [[2+2*2^(1/2), 2+2*2^(1/2)], [0, 1]], [2+2*2^(1/2), 3+2*2^(1/2), 0], [2+2*2^(1/2), 4+2*2^(1/2), 0], [2+2*2^(1/2), 3*2^(1/2), 0], [2+2*2^(1/2), 1+3*2^(1/2), 0], [[2+2*2^(1/2), 2+3*2^(1/2)], [0, 1]], [2+2*2^(1/2), 3+3*2^(1/2), 0], [2+2*2^(1/2), 4+3*2^(1/2), 0], [2+2*2^(1/2), 4*2^(1/2), 0], [2+2*2^(1/2), 1+4*2^(1/2), 0], [2+2*2^(1/2), 2+4*2^(1/2), 0], [2+2*2^(1/2), 3+4*2^(1/2), 0], [2+2*2^(1/2), 4+4*2^(1/2), 0]]:
RatPtsR[1,2,9] := [[[infinity, infinity], [1, 3+2*2^(1/2)]], [0, 0, 1], [[1, 2+3*2^(1/2)], [1, 4]], [2, 4+2^(1/2), 3], [3, 1+4*2^(1/2), 4], [4, 3+2*2^(1/2), 2], [2^(1/2), 1+2*2^(1/2), 1+3*2^(1/2)], [1+2^(1/2), 3, 4], [2+2^(1/2), 3*2^(1/2), 1+2^(1/2)], [3+2^(1/2), 2+2^(1/2), 1+2^(1/2)], [4+2^(1/2), 4+4*2^(1/2), 3], [2*2^(1/2), 2+4*2^(1/2), 1+4*2^(1/2)], [1+2*2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [[2+2*2^(1/2), 1], [1, 4]], [3+2*2^(1/2), 3+3*2^(1/2), 2], [4+2*2^(1/2), 2^(1/2), 1+3*2^(1/2)], [3*2^(1/2), 3+2^(1/2), 1+2^(1/2)], [1+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 4]], [3+3*2^(1/2), 4, 2], [4+3*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [4*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [1+4*2^(1/2), 1+2^(1/2), 4], [2+4*2^(1/2), 3+4*2^(1/2), 1+4*2^(1/2)], [3+4*2^(1/2), 2*2^(1/2), 1+4*2^(1/2)], [4+4*2^(1/2), 2, 3]]:
RatPtsR[1,2,10] := [[[infinity, 1], [1, 1+4*2^(1/2)]], [0, 3, 2], [[1, 2+2*2^(1/2)], [1, 3+3*2^(1/2)]], [2, 3+2^(1/2), 4+2^(1/2)], [3, 1+2^(1/2), 4], [4, 2+4*2^(1/2), 3+3*2^(1/2)], [2^(1/2), 1+2*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 0, 2], [2+2^(1/2), 2*2^(1/2), 3], [3+2^(1/2), 3+3*2^(1/2), 3+2*2^(1/2)], [4+2^(1/2), 3+4*2^(1/2), 4+4*2^(1/2)], [2*2^(1/2), 3+2*2^(1/2), 3+3*2^(1/2)], [1+2*2^(1/2), 4*2^(1/2), 3*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 2]], [3+2*2^(1/2), 2+2^(1/2), 3+2*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [3*2^(1/2), 4+2^(1/2), 4+2^(1/2)], [1+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 3+2*2^(1/2)]], [3+3*2^(1/2), 2, 1], [4+3*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [4*2^(1/2), 2^(1/2), 2*2^(1/2)], [1+4*2^(1/2), 1+4*2^(1/2), 4], [2+4*2^(1/2), 4+4*2^(1/2), 4+4*2^(1/2)], [3+4*2^(1/2), 3*2^(1/2), 3], [4+4*2^(1/2), 4, 1]]:
RatPtsR[1,2,11] := [[[infinity, 2+3*2^(1/2)], [1, 3]], [0, 1+4*2^(1/2), 2], [[1, infinity], [1, 4+2^(1/2)]], [2, 3+2*2^(1/2), 1], [3, 0, 2], [4, 4+2^(1/2), 1], [2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [1+2^(1/2), 1+2^(1/2), 4], [2+2^(1/2), 4, 3+2*2^(1/2)], [3+2^(1/2), 4+4*2^(1/2), 4+2^(1/2)], [4+2^(1/2), 2+2^(1/2), 4+2^(1/2)], [2*2^(1/2), 3+2^(1/2), 3], [1+2*2^(1/2), 4+2*2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 3+2*2^(1/2)]], [3+2*2^(1/2), 3+4*2^(1/2), 3+3*2^(1/2)], [4+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [3*2^(1/2), 2+4*2^(1/2), 3], [1+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [[2+3*2^(1/2), 1], [1, 3+3*2^(1/2)]], [3+3*2^(1/2), 3*2^(1/2), 3+2*2^(1/2)], [4+3*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [4*2^(1/2), 2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 3, 4], [2+4*2^(1/2), 3+3*2^(1/2), 3+3*2^(1/2)], [3+4*2^(1/2), 2, 4+4*2^(1/2)], [4+4*2^(1/2), 2*2^(1/2), 4+4*2^(1/2)]]:
RatPtsR[1,2,12] := [[[infinity, 2+2*2^(1/2)], [1, 1+2^(1/2)]], [0, 1+2^(1/2), 2], [[1, 1], [1, 3+2*2^(1/2)]], [2, 2+4*2^(1/2), 4+4*2^(1/2)], [3, 3, 4], [4, 3+2^(1/2), 3+2*2^(1/2)], [2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [1+2^(1/2), 1+4*2^(1/2), 4], [2+2^(1/2), 2, 4+2^(1/2)], [3+2^(1/2), 3+4*2^(1/2), 3], [4+2^(1/2), 3+3*2^(1/2), 1], [2*2^(1/2), 4+2^(1/2), 4+4*2^(1/2)], [1+2*2^(1/2), 4*2^(1/2), 2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 3+3*2^(1/2)]], [3+2*2^(1/2), 4+4*2^(1/2), 1], [4+2*2^(1/2), 2^(1/2), 4+2*2^(1/2)], [3*2^(1/2), 3+2*2^(1/2), 3+2*2^(1/2)], [1+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 4+4*2^(1/2)]], [3+3*2^(1/2), 2*2^(1/2), 3+3*2^(1/2)], [4+3*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [4*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 0, 2], [2+4*2^(1/2), 2+2^(1/2), 3], [3+4*2^(1/2), 4, 3+3*2^(1/2)], [4+4*2^(1/2), 3*2^(1/2), 4+2^(1/2)]]:
RatPtsR[1,2,13] := [[[infinity, infinity], [1, 2+2*2^(1/2)]], [0, 0, 4], [[1, 2+2*2^(1/2)], [1, 1]], [2, 4+4*2^(1/2), 2], [3, 1+2^(1/2), 1], [4, 3+3*2^(1/2), 3], [2^(1/2), 4+2*2^(1/2), 4+2*2^(1/2)], [1+2^(1/2), 1+4*2^(1/2), 1], [2+2^(1/2), 3+2^(1/2), 4+4*2^(1/2)], [3+2^(1/2), 3*2^(1/2), 4+4*2^(1/2)], [4+2^(1/2), 2, 2], [2*2^(1/2), 3+4*2^(1/2), 4+2^(1/2)], [1+2*2^(1/2), 2^(1/2), 4+2*2^(1/2)], [[2+2*2^(1/2), 2+3*2^(1/2)], [1, 1]], [3+2*2^(1/2), 4, 3], [4+2*2^(1/2), 1+2*2^(1/2), 4+2*2^(1/2)], [3*2^(1/2), 2+2^(1/2), 4+4*2^(1/2)], [1+3*2^(1/2), 4+3*2^(1/2), 4+3*2^(1/2)], [[2+3*2^(1/2), 1], [1, 1]], [3+3*2^(1/2), 3+2*2^(1/2), 3], [4+3*2^(1/2), 4*2^(1/2), 4+3*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 4+3*2^(1/2)], [1+4*2^(1/2), 3, 1], [2+4*2^(1/2), 2*2^(1/2), 4+2^(1/2)], [3+4*2^(1/2), 2+4*2^(1/2), 4+2^(1/2)], [4+4*2^(1/2), 4+2^(1/2), 2]]:
RatPtsR[1,2,14] := [[[infinity, 1], [1, 4+4*2^(1/2)]], [0, 3, 3], [[1, 2+3*2^(1/2)], [1, 2+3*2^(1/2)]], [2, 3+4*2^(1/2), 1+2^(1/2)], [3, 1+4*2^(1/2), 1], [4, 2+2^(1/2), 2+3*2^(1/2)], [2^(1/2), 4*2^(1/2), 2*2^(1/2)], [1+2^(1/2), 1+2^(1/2), 1], [2+2^(1/2), 4+2^(1/2), 1+4*2^(1/2)], [3+2^(1/2), 2*2^(1/2), 2], [4+2^(1/2), 4, 4], [2*2^(1/2), 4+4*2^(1/2), 1+2^(1/2)], [1+2*2^(1/2), 4+3*2^(1/2), 3*2^(1/2)], [[2+2*2^(1/2), 2+2*2^(1/2)], [1, 2+2*2^(1/2)]], [3+2*2^(1/2), 2, 4], [4+2*2^(1/2), 1+2*2^(1/2), 1+3*2^(1/2)], [3*2^(1/2), 3+3*2^(1/2), 2+3*2^(1/2)], [1+3*2^(1/2), 2^(1/2), 3*2^(1/2)], [[2+3*2^(1/2), infinity], [1, 3]], [3+3*2^(1/2), 2+4*2^(1/2), 2+2*2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 2*2^(1/2)], [4*2^(1/2), 1+3*2^(1/2), 1+2*2^(1/2)], [1+4*2^(1/2), 0, 3], [2+4*2^(1/2), 3*2^(1/2), 2], [3+4*2^(1/2), 3+2*2^(1/2), 2+2*2^(1/2)], [4+4*2^(1/2), 3+2^(1/2), 1+4*2^(1/2)]]:
RatPtsR[1,2,15] := [[[infinity, 2+3*2^(1/2)], [1, 4+2^(1/2)]], [0, 1+4*2^(1/2), 3], [[1, 1], [1, 2+2*2^(1/2)]], [2, 2+2^(1/2), 1+4*2^(1/2)], [3, 3, 1], [4, 3+4*2^(1/2), 2+2*2^(1/2)], [2^(1/2), 4+2*2^(1/2), 1+3*2^(1/2)], [1+2^(1/2), 0, 3], [2+2^(1/2), 2+4*2^(1/2), 2], [3+2^(1/2), 4, 2+3*2^(1/2)], [4+2^(1/2), 2*2^(1/2), 1+2^(1/2)], [2*2^(1/2), 3+3*2^(1/2), 2+2*2^(1/2)], [1+2*2^(1/2), 4+3*2^(1/2), 2*2^(1/2)], [[2+2*2^(1/2), infinity], [1, 1+4*2^(1/2)]], [3+2*2^(1/2), 3*2^(1/2), 2+3*2^(1/2)], [4+2*2^(1/2), 1+3*2^(1/2), 3*2^(1/2)], [3*2^(1/2), 4+4*2^(1/2), 1+4*2^(1/2)], [1+3*2^(1/2), 2^(1/2), 2*2^(1/2)], [[2+3*2^(1/2), 2+2*2^(1/2)], [1, 2+3*2^(1/2)]], [3+3*2^(1/2), 4+2^(1/2), 4], [4+3*2^(1/2), 4*2^(1/2), 1+2*2^(1/2)], [4*2^(1/2), 1+2*2^(1/2), 3*2^(1/2)], [1+4*2^(1/2), 1+2^(1/2), 1], [2+4*2^(1/2), 2, 1+2^(1/2)], [3+4*2^(1/2), 3+2^(1/2), 2], [4+4*2^(1/2), 3+2*2^(1/2), 4]]:
RatPtsR[1,2,16] := [[[infinity, 2+2*2^(1/2)], [1, 2]], [0, 1+2^(1/2), 3], [[1, infinity], [1, 1+2^(1/2)]], [2, 3+3*2^(1/2), 4], [3, 0, 3], [4, 4+4*2^(1/2), 4], [2^(1/2), 4*2^(1/2), 3*2^(1/2)], [1+2^(1/2), 3, 1], [2+2^(1/2), 3+2*2^(1/2), 2+3*2^(1/2)], [3+2^(1/2), 2, 1+4*2^(1/2)], [4+2^(1/2), 3*2^(1/2), 1+4*2^(1/2)], [2*2^(1/2), 2+2^(1/2), 2], [1+2*2^(1/2), 2^(1/2), 1+3*2^(1/2)], [[2+2*2^(1/2), 1], [1, 2+3*2^(1/2)]], [3+2*2^(1/2), 2*2^(1/2), 2+2*2^(1/2)], [4+2*2^(1/2), 1+3*2^(1/2), 2*2^(1/2)], [3*2^(1/2), 3+4*2^(1/2), 2], [1+3*2^(1/2), 4+3*2^(1/2), 1+2*2^(1/2)], [[2+3*2^(1/2), 2+3*2^(1/2)], [1, 2+2*2^(1/2)]], [3+3*2^(1/2), 3+2^(1/2), 2+3*2^(1/2)], [4+3*2^(1/2), 4+2*2^(1/2), 3*2^(1/2)], [4*2^(1/2), 1+2*2^(1/2), 2*2^(1/2)], [1+4*2^(1/2), 1+4*2^(1/2), 1], [2+4*2^(1/2), 4, 2+2*2^(1/2)], [3+4*2^(1/2), 4+2^(1/2), 1+2^(1/2)], [4+4*2^(1/2), 2+4*2^(1/2), 1+2^(1/2)]]:



NSClass[0,0,1] := [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,2] := [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,3] := [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,4] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,5] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,6] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,7] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,8] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,9] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,10] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0]:
NSClass[0,0,11] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0]:
NSClass[0,0,12] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0]:
NSClass[0,0,13] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0]:
NSClass[0,0,14] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0]:
NSClass[0,0,15] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0]:
NSClass[0,0,16] := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]:
NSClass[0,1,1] := [2, 3, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, -1, 0, -1]:
NSClass[0,1,2] := [2, 3, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, -1, 0, -1, 0]:
NSClass[0,1,3] := [2, 3, -1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1]:
NSClass[0,1,4] := [2, 3, -1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0]:
NSClass[0,1,5] := [2, 3, -1, 2, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0]:
NSClass[0,1,6] := [2, 3, -1, 2, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1]:
NSClass[0,1,7] := [2, 3, -1, 2, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1]:
NSClass[0,1,8] := [2, 3, -1, 2, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 0]:
NSClass[0,1,9] := [2, 3, -1, 2, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1]:
NSClass[0,1,10] := [2, 3, -1, 2, -1, 0, -1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1]:
NSClass[0,1,11] := [2, 3, -1, 2, -1, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0]:
NSClass[0,1,12] := [2, 3, -1, 2, -1, 0, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0]:
NSClass[0,1,13] := [2, 3, -1, 2, -1, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0]:
NSClass[0,1,14] := [2, 3, -1, 2, -1, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0]:
NSClass[0,1,15] := [2, 3, -1, 2, -1, 0, 0, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0]:
NSClass[0,1,16] := [2, 3, -1, 2, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0]:
NSClass[0,2,1] := [4, 6, -2, 3, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0]:
NSClass[0,2,2] := [4, 6, -2, 3, -1, -1, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0]:
NSClass[0,2,3] := [4, 6, -2, 3, -1, -1, 0, -1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0]:
NSClass[0,2,4] := [4, 6, -2, 3, -1, -1, -1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1]:
NSClass[0,2,5] := [4, 6, -2, 3, -1, -1, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0]:
NSClass[0,2,6] := [4, 6, -2, 3, -1, -1, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1]:
NSClass[0,2,7] := [4, 6, -2, 3, -1, -1, 0, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0]:
NSClass[0,2,8] := [4, 6, -2, 3, -1, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0]:
NSClass[0,2,9] := [4, 6, -2, 3, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0]:
NSClass[0,2,10] := [4, 6, -2, 3, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1, 0, 0]:
NSClass[0,2,11] := [4, 6, -2, 3, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1, 0]:
NSClass[0,2,12] := [4, 6, -2, 3, -1, -1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, -1]:
NSClass[0,2,13] := [4, 6, -2, 3, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, 0, -1]:
NSClass[0,2,14] := [4, 6, -2, 3, -1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0]:
NSClass[0,2,15] := [4, 6, -2, 3, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1]:
NSClass[0,2,16] := [4, 6, -2, 3, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1]:
NSClass[1,0,1] := [5, 6, -2, 3, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, 0, -1, 0, -1]:
NSClass[1,0,2] := [5, 6, -2, 3, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0]:
NSClass[1,0,3] := [5, 6, -2, 3, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1]:
NSClass[1,0,4] := [5, 6, -2, 3, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1]:
NSClass[1,0,5] := [4, 7, -2, 3, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1]:
NSClass[1,0,6] := [4, 7, -2, 3, -1, -1, -1, 0, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, 0]:
NSClass[1,0,7] := [4, 7, -2, 3, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1]:
NSClass[1,0,8] := [4, 7, -2, 3, -1, -1, 0, -1, -1, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, 0, -1]:
NSClass[1,0,9] := [4, 6, -2, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1]:
NSClass[1,0,10] := [4, 6, -2, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, -1, 0, 0, -1, -1, 0]:
NSClass[1,0,11] := [4, 6, -2, 4, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1]:
NSClass[1,0,12] := [4, 6, -2, 4, -1, -1, 0, -1, -1, 0, 0, -1, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1]:
NSClass[1,0,13] := [5, 7, -3, 4, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1, -1, -1]:
NSClass[1,0,14] := [5, 7, -3, 4, -1, -1, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0]:
NSClass[1,0,15] := [5, 7, -3, 4, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1]:
NSClass[1,0,16] := [5, 7, -3, 4, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1]:
NSClass[1,1,1] := [2, 4, -1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0]:
NSClass[1,1,2] := [2, 4, -1, 1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0]:
NSClass[1,1,3] := [2, 4, -1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0]:
NSClass[1,1,4] := [2, 4, -1, 1, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1]:
NSClass[1,1,5] := [3, 3, -1, 1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0]:
NSClass[1,1,6] := [3, 3, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0]:
NSClass[1,1,7] := [3, 3, -1, 1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, 0, -1, 0, 0, 0, 0]:
NSClass[1,1,8] := [3, 3, -1, 1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1]:
NSClass[1,1,9] := [3, 4, -2, 2, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[1,1,10] := [3, 4, -2, 2, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[1,1,11] := [3, 4, -2, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0]:
NSClass[1,1,12] := [3, 4, -2, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1]:
NSClass[1,1,13] := [2, 3, -1, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0]:
NSClass[1,1,14] := [2, 3, -1, 2, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0]:
NSClass[1,1,15] := [2, 3, -1, 2, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0]:
NSClass[1,1,16] := [2, 3, -1, 2, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1]:
NSClass[1,2,1] := [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0]:
NSClass[1,2,2] := [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0]:
NSClass[1,2,3] := [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0]:
NSClass[1,2,4] := [1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1]:
NSClass[1,2,5] := [0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[1,2,6] := [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0]:
NSClass[1,2,7] := [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0]:
NSClass[1,2,8] := [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1]:
NSClass[1,2,9] := [0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0]:
NSClass[1,2,10] := [0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0]:
NSClass[1,2,11] := [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]:
NSClass[1,2,12] := [0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0]:
NSClass[1,2,13] := [1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0]:
NSClass[1,2,14] := [1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1]:
NSClass[1,2,15] := [1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0]:
NSClass[1,2,16] := [1, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0]: