The vertices of the tetrahedron are numbered 0,...,5 with 0 and 5 opposite to each other and 1,2,3,4 arranged cyclically around the diagonal 05. The following two lists give the 298 combinatorially inequivalent orientation-reversing pairings of the faces and the list of genera of the corresponding manifolds obtained by gluing the truncated octahedron. [[((0,1,2),(0,4,3)),((0,1,4),(0,2,3)),((1,2,5),(4,3,5)),((1,4,5),(2,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(5,3,2)),((0,2,3),(5,4,1)),((1,2,5),(4,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(5,2,1)),((0,2,3),(5,3,4)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(1,4,5)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(4,3,5)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(3,2,5)),((1,4,5),(3,4,5))], [((0,1,2),(0,1,4)),((0,2,3),(5,4,1)),((0,3,4),(5,1,2)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(5,2,3)),((0,3,4),(5,1,2)),((1,4,5),(3,4,5))], [((0,1,2),(5,3,4)),((0,1,4),(5,3,2)),((0,2,3),(5,4,1)),((0,3,4),(5,1,2))], [((0,1,2),(0,4,3)),((0,1,4),(5,2,1)),((0,2,3),(5,4,1)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(5,2,1)),((0,2,3),(5,3,4)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(5,3,4)),((0,3,4),(5,1,2)),((1,4,5),(3,5,2))], [((0,1,2),(0,4,3)),((0,1,4),(5,2,1)),((0,2,3),(5,4,1)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(5,3,2)),((0,2,3),(5,4,1)),((1,2,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(5,2,1)),((0,2,3),(5,3,4)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(1,4,5)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(4,3,5)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(5,4,1)),((0,3,4),(5,1,2)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,4,1)),((1,2,5),(4,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(5,3,4)),((1,4,5),(2,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,1,2)),((1,4,5),(4,5,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(5,4,1)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,4,1)),((1,2,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(5,3,4)),((1,4,5),(3,5,2))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,3,4)),((1,2,5),(5,1,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,1,2)),((1,4,5),(5,3,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(5,4,1)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,4,1)),((1,2,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(5,3,4)),((1,4,5),(5,2,3))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(5,3,4)),((1,2,5),(4,5,1))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(5,4,3)),((1,4,5),(5,2,3))], [((0,1,2),(0,4,3)),((0,1,4),(0,2,3)),((1,2,5),(3,5,4)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(3,5,4)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(2,5,3)),((1,4,5),(3,4,5))], [((0,1,2),(0,4,3)),((0,1,4),(0,2,3)),((1,2,5),(3,5,4)),((1,4,5),(3,5,2))], [((0,1,2),(0,4,3)),((0,1,4),(0,2,3)),((1,2,5),(2,5,3)),((1,4,5),(4,5,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(5,1,2)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(2,1,5)),((0,2,3),(5,4,1)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(2,1,5)),((0,2,3),(5,3,4)),((1,4,5),(3,5,2))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(5,3,4)),((1,2,5),(5,3,2))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(4,5,1)),((2,3,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(3,5,4)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(2,5,3)),((1,4,5),(4,5,3))], [((0,1,2),(0,4,3)),((0,1,4),(0,2,3)),((1,2,5),(3,5,4)),((1,4,5),(5,2,3))], [((0,1,2),(0,4,3)),((0,1,4),(0,2,3)),((1,2,5),(2,5,3)),((1,4,5),(5,3,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(5,1,2)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,1,5)),((0,2,3),(5,4,1)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(5,3,4)),((1,2,5),(2,5,3))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(4,5,1)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(3,5,4)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(0,4,3)),((1,2,5),(2,5,3)),((1,4,5),(5,3,4))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(5,2,3)),((1,4,5),(3,4,5))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(5,3,4)),((1,2,5),(3,2,5))], [((0,1,2),(0,1,4)),((0,2,3),(3,4,5)),((0,3,4),(5,1,2)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,1,2)),((1,4,5),(3,4,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,4,1)),((1,2,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(5,1,2)),((2,3,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(3,4,5)),((0,3,4),(5,1,2)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,1,2)),((1,4,5),(4,5,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,4,1)),((1,2,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,3,4)),((1,2,5),(5,1,4))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(5,1,2)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(5,2,3)),((1,2,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(3,4,5)),((0,3,4),(5,1,2)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,1,2)),((1,4,5),(5,3,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,4,1)),((1,2,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(5,3,4)),((1,2,5),(4,5,1))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(4,1,5)),((1,2,5),(4,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(3,4,5)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(4,1,5)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(2,3,5)),((1,4,5),(3,4,5))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(2,3,5)),((1,2,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(4,1,5)),((1,2,5),(4,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(4,1,5)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(4,1,5)),((1,2,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(3,4,5)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(4,1,5)),((2,3,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(3,4,5)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(2,3,5)),((1,4,5),(4,5,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(4,1,5)),((1,2,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(3,4,5)),((1,2,5),(5,1,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(4,1,5)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(4,1,5)),((1,2,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(3,4,5)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(4,1,5)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(3,4,5)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(2,3,5)),((1,4,5),(5,3,4))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(2,3,5)),((1,2,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(4,1,5)),((1,2,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(3,4,5)),((1,2,5),(4,5,1))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(2,3,5)),((1,2,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(1,5,4)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(3,5,2)),((1,4,5),(3,4,5))], [((0,1,2),(0,1,4)),((0,2,3),(3,4,5)),((0,3,4),(2,5,1)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(2,5,1)),((1,4,5),(3,4,5))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(1,2,5)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(2,1,5)),((0,2,3),(4,1,5)),((2,3,5),(5,4,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(3,4,5)),((1,2,5),(5,3,2))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(4,5,3)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(3,5,2)),((1,4,5),(4,5,3))], [((0,1,2),(0,1,4)),((0,2,3),(3,4,5)),((0,3,4),(2,5,1)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(2,5,1)),((1,4,5),(4,5,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(1,2,5)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,1,5)),((0,2,3),(4,1,5)),((2,3,5),(3,5,4))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(3,4,5)),((1,2,5),(2,5,3))], [((0,1,2),(0,4,3)),((0,1,4),(1,4,5)),((0,2,3),(2,3,5)),((1,2,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(1,2,5)),((0,3,4),(1,5,4)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(4,1,5)),((0,3,4),(2,5,1)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(3,4,5)),((0,3,4),(2,5,1)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(2,5,1)),((1,4,5),(5,3,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,3,5)),((0,3,4),(4,5,3)),((1,2,5),(4,5,1))], [((0,1,2),(0,1,4)),((0,2,3),(3,0,4)),((1,2,5),(4,3,5)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(5,4,1)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(5,2,3)),((1,4,5),(3,4,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(5,1,2)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(5,3,4)),((1,2,5),(3,2,5))], [((0,1,2),(0,1,4)),((0,2,3),(4,5,3)),((0,3,4),(5,1,2)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(3,5,2)),((0,3,4),(5,1,2)),((1,4,5),(3,4,5))], [((0,1,2),(0,4,3)),((0,1,4),(2,3,0)),((1,2,5),(4,3,5)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(3,0,4)),((1,2,5),(4,3,5)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(5,4,1)),((2,3,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(5,3,4)),((1,4,5),(3,5,2))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(5,1,2)),((2,3,5),(5,4,3))], [((0,1,2),(0,1,4)),((0,2,3),(4,5,3)),((0,3,4),(5,1,2)),((1,4,5),(3,5,2))], [((0,1,2),(0,4,3)),((0,1,4),(2,3,0)),((1,2,5),(4,3,5)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(3,0,4)),((1,2,5),(4,3,5)),((1,4,5),(5,2,3))], [((0,1,2),(0,1,4)),((0,2,3),(3,0,4)),((1,2,5),(3,2,5)),((1,4,5),(5,3,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(5,4,1)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(5,2,3)),((1,4,5),(5,3,4))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(5,1,2)),((2,3,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(5,2,3)),((1,2,5),(3,5,4))], [((0,1,2),(0,1,4)),((0,2,3),(3,5,2)),((0,3,4),(5,1,2)),((1,4,5),(5,3,4))], [((0,1,2),(0,4,3)),((0,1,4),(2,3,0)),((1,2,5),(5,4,3)),((1,4,5),(2,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(2,5,3)),((0,2,3),(1,5,4)),((1,2,5),(4,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(1,5,2)),((0,2,3),(4,5,3)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(3,0,4)),((1,2,5),(5,1,4)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(3,0,4)),((1,2,5),(5,4,3)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(4,1,5)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(2,5,1)),((0,3,4),(3,4,5)),((1,4,5),(2,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(1,2,5)),((2,3,5),(4,3,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(3,4,5)),((1,2,5),(3,2,5))], [((0,1,2),(0,1,4)),((0,2,3),(1,5,4)),((0,3,4),(2,3,5)),((1,2,5),(4,3,5))], [((0,1,2),(0,4,3)),((0,1,4),(2,3,0)),((1,2,5),(5,1,4)),((2,3,5),(5,4,3))], 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