Starry Genus 97

22 February, 2023

10-Colouring

1090304040703060607

Loop Cycles

\((t_1-,t_5-)\;\)\(2\mathord*(t_2-,t_5+)\;\)\(2\mathord*(t_3)\;\)\(4\mathord*(t_4)\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Toroidal

Skeleton Type

Unknown

Files

Embedding

Dual Group

\(G_d=\)	\(\left\langle \: S_d \:\middle\|\:R_d\:\right\rangle\)
\(S_d=\)	\({t_1},\:\)\({t_2},\:\)\({t_3},\:\)\({t_4},\:\)\({t_5}\)
\(R_d=\)	\({t_1}^3,\:\)\({t_2}^3,\:\)\({t_5}^3,\:\)\({t_1}{t_3}{t_2},\:\)\(({t_4}^{-1}{t_3})^2,\:\)\(({t_4}^{-1}{t_5})^2,\:\)\({t_3}^2,\:\)\({t_4}^4,\:\)\({t_5}{t_1},\:\)\(({t_5}{t_2}^{-1})^2\)
\(\|G_d\|=\)	\(192\)

Vertex Group

\(G_v=\)	\(\left\langle \: S_v \:\middle\|\:R_v\:\right\rangle\)
\(S_v=\)	\(a,\:\)\(b,\:\)\(c\)
\(R_v=\)	\(a^3,\:\)\(b^3,\:\)\((ab^{-1})^2,\:\)\((bc^{-1})^2,\:\)\((a^{-1}c^{-1})^2,\:\)\(a^{-1}c^{-2}a(c^{-1}b^{-1})^2\)
\(\|G_v\|=\)	\(192\)