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S. P. Tsarev and T. Wolf's Table 1, p. 7 (1st colums only, excludes column of SL2-invariant subcases:
n, types of symmetry, number of parameters and terms
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2 1) (+-) 1 param; 4 terms
2 2) (-+) 3 param; 10 terms
2 3) (++) 6 param; 16 terms
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3 1) (---) 1 param; 24 terms
3 2) (-++) 13 param; 186 terms
3 3) (+++) 22 param; 256 terms
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4 1) (----) 94 param; 29208 terms
4 2) (+---) 77 param; 26112 terms
4 3) (-+++) 349 param; 60666 terms
4 4) (++++) 402 param; 2^16 terms
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Symmetry classification of the face formulas w.r.t. the complete symmetry group of the cube.
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