For each orbit O_i we give the following orbitwise invariants:

with v any vertex belonging to O_i,

the incidence Icd_i : the number of facets containing v
the adjacency Adj_i : the number of vertices forming an edge with v
Adj_{i,delta}       : the number of cuts forming an edge with v 
|O_i|               : the size of the orbit O_i

-------------------- orbitwise invariants -------------------------

i          Icd_i         Adj_i         |O_i|          Adj_{i,delta}

1          60            296           32             31
2          20            70            32             25
3          24            35            480            16
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The orbits are ordered first by decreasing incidence Icd_i, then by 
decreasing adjacency Adj_i and then by increasing orbitsize |O_i|
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