countingMaps-nonoriented18.html

E - Some tables

> # MAPS
for g from 0 to 10 do
printf("Numbers of ROOTED MAPS (orientable or not) of genus ");
if (g/2)::integer then printf("%d",g/2); else printf("%d/2",g); fi;
printf(" (by number n of edges, first value is n=0)");
print([seq(Hng(n,g/2),n=0..16)]);
od:

Numbers of ROOTED MAPS (orientable or not) of genus 0   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 1/2   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 1   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 3/2   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 2   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 5/2   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 3   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 7/2   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 4   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 9/2   (by number n of edges, first value is n=0)

Numbers of ROOTED MAPS (orientable or not) of genus 5   (by number n of edges, first value is n=0)

(6.1)

> # TRIANGULATIONS
for g from 0 to 10 do
printf("Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus ");
if (g/2)::integer then printf("%d",g/2); else printf("%d/2",g); fi;
printf(" (by number n where 2n is the number of faces, first value is n=0)");
print([seq(tri(n,g/2),n=0..15)]);
od:

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 0   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 1/2   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 1   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 3/2   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 2   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 5/2   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 3   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 7/2   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 4   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 9/2   (by number n where 2n is the number of faces, first value is n=0)

Numbers of ROOTED TRIANGULATIONS (orientable or not) of genus 5   (by number n where 2n is the number of faces, first value is n=0)

(6.2)

> # BIPARTITE MAPS
for g from 0 to 10 do
printf("Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus ");
if (g/2)::integer then printf("%d",g/2); else printf("%d/2",g); fi;
printf(" (by number n of edges, first value is n=0)");
print([seq(subs(u=1,v=1,z=1,Bng(n,g/2)),n=0..16)]);
od:

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 0   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 1/2   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 1   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 3/2   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 2   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 5/2   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 3   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 7/2   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 4   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 9/2   (by number n of edges, first value is n=0)

Numbers of ROOTED BIPARTITE MAPS (orientable or not) of genus 5   (by number n of edges, first value is n=0)

(6.3)

> # ONE-FACE MAPS
for g from 0 to 10 do
printf("Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus ");
if (g/2)::integer then printf("%d",g/2); else printf("%d/2",g); fi;
printf(" (by number n of edges, first value is n=0)");
print([seq(subs(u=1,coeff(HngW(n,g/2),z,1)),n=0..16)]);
od:

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 0   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 1/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 1   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 3/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 5/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 3   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 7/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 4   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 9/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE MAPS (orientable or not) of genus 5   (by number n of edges, first value is n=0)

(6.4)

> # ONE-FACE BIPARTITE MAPS
for g from 0 to 10 do
printf("Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus ");
if (g/2)::integer then printf("%d",g/2); else printf("%d/2",g); fi;
printf(" (by number n of edges, first value is n=0)");
print([seq(subs(u=1,v=1,coeff(Bng(n,g/2),z,1)),n=0..16)]);
od:

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 0   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 1/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 1   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 3/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 5/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 3   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 7/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 4   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 9/2   (by number n of edges, first value is n=0)

Numbers of ROOTED ONE-FACE BIPARTITE MAPS (orientable or not) of genus 5   (by number n of edges, first value is n=0)

(6.5)