For each orbit O_i we give a canonical representative vertex v_i : (denominator | coordinates)

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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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-------------- canonical representatives --------------------------

i  denominator | coordinates

1            1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2            3 | 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0
3            3 | 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 
4            3 | 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 
5            3 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2  
6            4 | 1 2 3 1 2 1 1 2 2 1 2 1 1 2 3 2 3 2 1 2 1
7            5 | 4 2 2 2 2 4 4 2 2 2 2 4 2 2 2 4 2 2 4 2 4 
8            3 | 1 1 1 1 1 1 2 2 1 1 1 2 1 1 1 1 1 1 2 2 2
9            7 | 2 4 6 4 2 4 2 4 2 4 2 2 4 2 2 2 4 4 2 2 2
10           5 | 3 2 3 3 1 1 1 2 2 2 2 3 3 3 3 4 4 2 2 4 2
11           3 | 1 1 1 1 1 1 2 2 1 1 1 2 1 1 1 2 1 1 2 2 2 
12           6 | 1 2 4 2 2 2 1 3 3 3 3 2 2 2 4 2 2 2 4 4 4 
13           3 | 2 2 1 1 1 2 2 1 1 1 1 2 1 1 1 2 1 1 2 1 2

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