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Number of chirotopes resulting from realizable uniform oriented matroids of rank 3 over a ground set of n elements.
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%I #7 Oct 07 2013 11:40:16

%S 2,16,384,23808,3486720

%N Number of chirotopes resulting from realizable uniform oriented matroids of rank 3 over a ground set of n elements.

%C The above numbers were obtained from random sprinkling of points into S^2.

%D J. Brunnemann and D. Rideout, "Oriented matroids—combinatorial structures underlying loop quantum gravity", Class.Quant.Grav. 27, 205008 (2010).

%D J. Brunnemann and D. Rideout, "Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation", Class.Quant.Grav. 25 065002 (2008).

%Y A172144

%K nonn,more

%O 3,1

%A Johannes Brunnemann (jbrunnem(AT)math.upb.de) and _David Rideout_, Nov 19 2010