(i,d)=(0,2): facets=2 pseudomanifold_wb=True boundary_ridges=4 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(0,3): facets=2 pseudomanifold_wb=True boundary_ridges=6 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,3): facets=6 pseudomanifold_wb=True boundary_ridges=6 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(0,4): facets=2 pseudomanifold_wb=True boundary_ridges=8 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,4): facets=8 pseudomanifold_wb=True boundary_ridges=16 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(2,4): facets=14 pseudomanifold_wb=True boundary_ridges=8 lk(x_d) proper=True collapses_onto_C*_3=True (left 27 faces, Sigma has 27)
(i,d)=(0,5): facets=2 pseudomanifold_wb=True boundary_ridges=10 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,5): facets=10 pseudomanifold_wb=True boundary_ridges=30 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(2,5): facets=22 pseudomanifold_wb=True boundary_ridges=30 lk(x_d) proper=True collapses_onto_C*_3=True (left 27 faces, Sigma has 27)
(i,d)=(3,5): facets=30 pseudomanifold_wb=True boundary_ridges=10 lk(x_d) proper=True collapses_onto_C*_4=True (left 81 faces, Sigma has 81)
(i,d)=(0,6): facets=2 pseudomanifold_wb=True boundary_ridges=12 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,6): facets=12 pseudomanifold_wb=True boundary_ridges=48 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(2,6): facets=32 pseudomanifold_wb=True boundary_ridges=72 lk(x_d) proper=True collapses_onto_C*_3=True (left 27 faces, Sigma has 27)
(i,d)=(3,6): facets=52 pseudomanifold_wb=True boundary_ridges=48 lk(x_d) proper=True collapses_onto_C*_4=True (left 81 faces, Sigma has 81)
(i,d)=(4,6): facets=62 pseudomanifold_wb=True boundary_ridges=12 lk(x_d) proper=True collapses_onto_C*_5=True (left 243 faces, Sigma has 243)
(i,d)=(0,7): facets=2 pseudomanifold_wb=True boundary_ridges=14 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,7): facets=14 pseudomanifold_wb=True boundary_ridges=70 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(2,7): facets=44 pseudomanifold_wb=True boundary_ridges=140 lk(x_d) proper=True collapses_onto_C*_3=True (left 27 faces, Sigma has 27)
(i,d)=(3,7): facets=84 pseudomanifold_wb=True boundary_ridges=140 lk(x_d) proper=True collapses_onto_C*_4=True (left 81 faces, Sigma has 81)
(i,d)=(4,7): facets=114 pseudomanifold_wb=True boundary_ridges=70 lk(x_d) proper=True collapses_onto_C*_5=True (left 243 faces, Sigma has 243)
(i,d)=(5,7): facets=126 pseudomanifold_wb=True boundary_ridges=14 lk(x_d) proper=True collapses_onto_C*_6=True (left 729 faces, Sigma has 729)
(i,d)=(0,8): facets=2 pseudomanifold_wb=True boundary_ridges=16 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,8): facets=16 pseudomanifold_wb=True boundary_ridges=96 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(2,8): facets=58 pseudomanifold_wb=True boundary_ridges=240 lk(x_d) proper=True collapses_onto_C*_3=True (left 27 faces, Sigma has 27)
(i,d)=(3,8): facets=128 pseudomanifold_wb=True boundary_ridges=320 lk(x_d) proper=True collapses_onto_C*_4=True (left 81 faces, Sigma has 81)
(i,d)=(4,8): facets=198 pseudomanifold_wb=True boundary_ridges=240 lk(x_d) proper=True collapses_onto_C*_5=True (left 243 faces, Sigma has 243)
(i,d)=(5,8): facets=240 pseudomanifold_wb=True boundary_ridges=96 lk(x_d) proper=True collapses_onto_C*_6=True (left 729 faces, Sigma has 729)
(i,d)=(6,8): facets=254 pseudomanifold_wb=True boundary_ridges=16 lk(x_d) proper=True collapses_onto_C*_7=True (left 2187 faces, Sigma has 2187)
(i,d)=(0,9): facets=2 pseudomanifold_wb=True boundary_ridges=18 lk(x_d) proper=True collapses_onto_C*_1=True (left 3 faces, Sigma has 3)
(i,d)=(1,9): facets=18 pseudomanifold_wb=True boundary_ridges=126 lk(x_d) proper=True collapses_onto_C*_2=True (left 9 faces, Sigma has 9)
(i,d)=(2,9): facets=74 pseudomanifold_wb=True boundary_ridges=378 lk(x_d) proper=True collapses_onto_C*_3=True (left 27 faces, Sigma has 27)
(i,d)=(3,9): facets=186 pseudomanifold_wb=True boundary_ridges=630 lk(x_d) proper=True collapses_onto_C*_4=True (left 81 faces, Sigma has 81)
(i,d)=(4,9): facets=326 pseudomanifold_wb=True boundary_ridges=630 lk(x_d) proper=True collapses_onto_C*_5=True (left 243 faces, Sigma has 243)
(i,d)=(5,9): facets=438 pseudomanifold_wb=True boundary_ridges=378 lk(x_d) proper=True collapses_onto_C*_6=False (left 9779 faces, Sigma has 729)
(i,d)=(6,9): facets=494 pseudomanifold_wb=True boundary_ridges=126 lk(x_d) proper=True collapses_onto_C*_7=True (left 2187 faces, Sigma has 2187)
(i,d)=(7,9): facets=510 pseudomanifold_wb=True boundary_ridges=18 lk(x_d) proper=True collapses_onto_C*_8=True (left 6561 faces, Sigma has 6561)
