deg f census (OWR-15428-014).  Columns explained in the docstring.
FORMAT 2x2 (exhaustive, 1 orbits, 0s): {'patterns': 1, 'deg agreed (2-3 independent runs)': 1, 'deg <= multinomial bound': 1, 'unimodular': 1, 'tropical formula agrees': 1, 'reduced (k=1)': 1, 'deg = W + deg Den': 1, 'corner patterns': 1, 'corner: deg = n(n-1)': 1, 'matrix: deg = 2 + 2 #pinned': 1}
   degree distribution: {2: 1}
   max degree 2, multinomial bound 2
     deg  2  pinned 0  corner  E=[(0, 0), (1, 1)]  W=2 Den=0 coord={} noncoord=0
FORMAT 3x3 (exhaustive, 2 orbits, 0s): {'patterns': 2, 'deg agreed (2-3 independent runs)': 2, 'deg <= multinomial bound': 2, 'unimodular': 2, 'tropical formula agrees': 2, 'reduced (k=1)': 2, 'deg = W + deg Den': 2, 'matrix: deg = 2 + 2 #pinned': 2, 'corner patterns': 1, 'corner: deg = n(n-1)': 1}
   degree distribution: {2: 1, 4: 1}
   max degree 4, multinomial bound 6
     deg  2  pinned 0  corner  E=[(0, 0), (0, 1), (1, 2), (2, 2)]  W=2 Den=0 coord={} noncoord=0
     deg  4  pinned 1          E=[(0, 0), (0, 1), (1, 0), (2, 2)]  W=2 Den=2 coord={(0, 0): 2} noncoord=0
FORMAT 3x4 (exhaustive, 4 orbits, 0s): {'patterns': 4, 'deg agreed (2-3 independent runs)': 4, 'deg <= multinomial bound': 4, 'unimodular': 4, 'tropical formula agrees': 4, 'reduced (k=1)': 4, 'deg = W + deg Den': 4, 'matrix: deg = 2 + 2 #pinned': 4, 'corner patterns': 1, 'corner: deg = n(n-1)': 1}
   degree distribution: {2: 1, 4: 2, 6: 1}
   max degree 6, multinomial bound 10
     deg  2  pinned 0  corner  E=[(0, 0), (0, 1), (0, 2), (1, 3), (2, 3)]  W=2 Den=0 coord={} noncoord=0
     deg  4  pinned 1          E=[(0, 0), (0, 1), (0, 2), (1, 0), (2, 3)]  W=2 Den=2 coord={(0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0), (0, 1), (1, 0), (2, 2), (2, 3)]  W=2 Den=2 coord={(0, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0), (0, 1), (1, 0), (1, 2), (2, 3)]  W=2 Den=4 coord={(0, 0): 2, (1, 0): 2} noncoord=0
FORMAT 4x4 (exhaustive, 7 orbits, 2s): {'patterns': 7, 'deg agreed (2-3 independent runs)': 7, 'deg <= multinomial bound': 7, 'unimodular': 7, 'tropical formula agrees': 7, 'reduced (k=1)': 7, 'deg = W + deg Den': 7, 'matrix: deg = 2 + 2 #pinned': 7, 'corner patterns': 1, 'corner: deg = n(n-1)': 1}
   degree distribution: {2: 1, 4: 2, 6: 3, 8: 1}
   max degree 8, multinomial bound 20
     deg  2  pinned 0  corner  E=[(0, 0), (0, 1), (0, 2), (1, 3), (2, 3), (3, 3)]  W=2 Den=0 coord={} noncoord=0
     deg  4  pinned 1          E=[(0, 0), (0, 1), (0, 2), (1, 0), (2, 0), (3, 3)]  W=2 Den=2 coord={(0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0), (0, 1), (0, 2), (1, 0), (2, 3), (3, 3)]  W=2 Den=2 coord={(0, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0), (0, 1), (0, 2), (1, 0), (2, 1), (3, 3)]  W=2 Den=4 coord={(0, 0): 2, (0, 1): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0), (0, 1), (1, 0), (1, 2), (2, 3), (3, 3)]  W=2 Den=4 coord={(0, 0): 2, (1, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0), (0, 1), (1, 0), (2, 2), (2, 3), (3, 2)]  W=2 Den=4 coord={(0, 0): 2, (2, 2): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0), (0, 1), (1, 0), (1, 2), (2, 1), (3, 3)]  W=2 Den=6 coord={(0, 0): 2, (0, 1): 2, (1, 0): 2} noncoord=0
FORMAT 2x2x2 (exhaustive, 2 orbits, 0s): {'patterns': 2, 'deg agreed (2-3 independent runs)': 2, 'deg <= multinomial bound': 2, 'unimodular': 2, 'tropical formula agrees': 2, 'reduced (k=1)': 2, 'deg = W + deg Den': 2, 'corner patterns': 1, 'corner: deg = n(n-1)': 1}
   degree distribution: {4: 1, 6: 1}
   max degree 6, multinomial bound 6
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (1, 1, 0)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  6  pinned 0  corner  E=[(0, 0, 0), (0, 1, 1), (1, 0, 1)]  W=3 Den=3 coord={(0, 0, 0): 1, (0, 1, 1): 1, (1, 0, 1): 1} noncoord=0
FORMAT 2x2x3 (exhaustive, 9 orbits, 0s): {'patterns': 9, 'deg agreed (2-3 independent runs)': 9, 'deg <= multinomial bound': 9, 'unimodular': 9, 'tropical formula agrees': 9, 'reduced (k=1)': 9, 'deg = W + deg Den': 9, 'corner patterns': 1, 'corner: deg = n(n-1)': 1}
   degree distribution: {4: 3, 6: 4, 8: 1, 12: 1}
   max degree 12, multinomial bound 12
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 2)]  W=2 Den=2 coord={(0, 1, 2): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 2)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  6  pinned 0  corner  E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 2)]  W=3 Den=3 coord={(0, 1, 2): 1, (1, 0, 2): 1} noncoord=1
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (1, 1, 0), (1, 1, 2)]  W=2 Den=4 coord={(0, 0, 0): 2, (1, 1, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 1, 0), (1, 0, 1), (1, 1, 2)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  8  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 0)]  W=3 Den=5 coord={(0, 0, 0): 3, (0, 1, 2): 1, (1, 1, 0): 1} noncoord=0
     deg 12  pinned 2          E=[(0, 0, 0), (0, 1, 1), (1, 0, 1), (1, 1, 2)]  W=4 Den=8 coord={(0, 0, 0): 1, (0, 1, 1): 3, (1, 0, 1): 3, (1, 1, 2): 1} noncoord=0
FORMAT 2x2x4 (exhaustive, 16 orbits, 1s): {'patterns': 16, 'deg agreed (2-3 independent runs)': 16, 'deg <= multinomial bound': 16, 'unimodular': 16, 'tropical formula agrees': 16, 'reduced (k=1)': 16, 'deg = W + deg Den': 16, 'corner patterns': 1, 'corner: deg = n(n-1)': 1}
   degree distribution: {4: 4, 6: 7, 8: 2, 10: 1, 12: 1, 13: 1}
   max degree 13, multinomial bound 20
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 0, 3), (1, 1, 0)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 0, 3)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 1, 3)]  W=2 Den=2 coord={(0, 1, 3): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 0, 3)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 1, 3)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  6  pinned 0  corner  E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 0, 3)]  W=3 Den=3 coord={(0, 1, 3): 1, (1, 0, 3): 1} noncoord=1
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 1, 3)]  W=2 Den=4 coord={(0, 0, 0): 2, (1, 1, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 0, 3)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 1, 3)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 2), (1, 1, 3)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 3), (1, 1, 2)]  W=2 Den=4 coord={(0, 1, 2): 2, (1, 1, 2): 2} noncoord=0
     deg  8  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 3), (1, 1, 0)]  W=3 Den=5 coord={(0, 0, 0): 3, (0, 1, 3): 1, (1, 1, 0): 1} noncoord=0
     deg  8  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 1, 3), (1, 0, 2)]  W=3 Den=5 coord={(0, 1, 2): 3, (1, 0, 2): 1} noncoord=1
     deg 10  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 0), (1, 1, 3)]  W=3 Den=7 coord={(0, 0, 0): 3, (0, 1, 2): 1, (1, 1, 0): 3} noncoord=0
     deg 12  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 2), (1, 1, 3)]  W=4 Den=8 coord={(0, 1, 2): 3, (1, 0, 2): 3, (1, 1, 3): 1} noncoord=1
     deg 13  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 3), (1, 1, 0)]  W=4 Den=9 coord={(0, 0, 0): 4, (0, 1, 2): 1, (1, 0, 3): 1, (1, 1, 0): 3} noncoord=0
FORMAT 2x3x3 (exhaustive, 39 orbits, 3s): {'patterns': 39, 'deg agreed (2-3 independent runs)': 39, 'deg <= multinomial bound': 39, 'unimodular': 38, 'tropical formula agrees': 38, 'reduced (k=1)': 38, 'deg = W + deg Den': 38, 'corner patterns': 1, 'corner: deg = n(n-1)': 1, 'non-unimodular': 1}
   degree distribution: {4: 3, 6: 11, 8: 11, 10: 5, 12: 4, 14: 3, 16: 1, 20: 1}
   max degree 20, multinomial bound 30
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 2, 0)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 2, 0)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  4  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 2, 2), (1, 0, 0)]  W=2 Den=2 coord={(0, 0, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (0, 1, 0), (1, 2, 1)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 0, 1): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 0, 2), (1, 1, 0), (1, 2, 1)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 0, 1): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 2, 0)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 1, 0): 2} noncoord=0
     deg  6  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 0, 0)]  W=2 Den=4 coord={(0, 0, 0): 4} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 0, 1)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 0, 1): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 2, 2)]  W=2 Den=4 coord={(0, 0, 0): 2, (0, 2, 2): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 2, 2)]  W=2 Den=4 coord={(0, 0, 0): 2, (1, 0, 2): 2} noncoord=0
     deg  6  pinned 0  corner  E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 2, 2), (1, 0, 2)]  W=3 Den=3 coord={(1, 0, 2): 1} noncoord=2
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 0), (1, 2, 0)]  W=2 Den=4 coord={(0, 0, 0): 2, (1, 0, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 0), (1, 2, 2)]  W=2 Den=4 coord={(0, 0, 0): 2, (1, 0, 0): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 2), (1, 2, 2)]  W=2 Den=4 coord={(0, 1, 2): 2, (1, 1, 2): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 1, 2), (1, 2, 1)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 0, 1): 2, (0, 1, 0): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 1, 1)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 0, 1): 2, (0, 1, 0): 2} noncoord=0
     deg  8  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (1, 2, 2)]  W=2 Den=6 coord={(0, 0, 0): 4, (1, 0, 0): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 1), (1, 2, 2)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 0, 1): 2, (1, 0, 1): 2} noncoord=0
     deg  8  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 2, 0)]  W=3 Den=5 coord={(0, 0, 0): 3, (1, 0, 2): 1, (1, 2, 0): 1} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 2), (1, 2, 2)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 1, 0): 2, (1, 1, 2): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 0), (1, 2, 1)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 0, 1): 2, (1, 0, 0): 2} noncoord=0
     deg  8  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 2), (1, 2, 2)]  W=3 Den=5 coord={(0, 1, 2): 1, (1, 0, 2): 3} noncoord=1
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 2), (1, 2, 0)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 1, 2): 2, (1, 1, 2): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 2, 0), (1, 2, 2)]  W=2 Den=6 coord={(0, 0, 0): 2, (1, 2, 0): 2, (1, 2, 2): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0), (0, 0, 1), (1, 0, 0), (1, 1, 1), (1, 2, 2)]  W=2 Den=6 coord={(0, 0, 0): 2, (0, 0, 1): 2, (1, 0, 0): 2} noncoord=0
     deg 10  pinned 1          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 0, 2)]  W=3 Den=7 coord={(0, 0, 0): 4, (0, 2, 2): 1, (1, 0, 2): 1} noncoord=1
     deg 10  pinned 4          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 1), (1, 2, 2)]  W=2 Den=8 coord={(0, 0, 0): 2, (0, 0, 1): 2, (0, 1, 0): 2, (1, 1, 1): 2} noncoord=0
     deg 10  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (0, 2, 2), (1, 1, 0)]  W=3 Den=7 coord={(0, 0, 0): 3, (0, 1, 2): 3, (1, 1, 0): 1} noncoord=0
     deg 10  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 0), (1, 2, 0)]  W=3 Den=7 coord={(0, 0, 0): 3, (0, 1, 2): 1, (1, 1, 0): 3} noncoord=0
     deg 10  pinned 3          E=[(0, 0, 0), (0, 1, 1), (0, 2, 2), (1, 0, 0), (1, 1, 2)]  W=2 Den=8 coord={(0, 0, 0): 4, (1, 0, 0): 2, (1, 1, 2): 2} noncoord=0
     deg 12  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (0, 2, 2), (1, 1, 2)]  W=3 Den=9 coord={(0, 0, 0): 3, (0, 1, 0): 3, (0, 2, 2): 1, (1, 1, 2): 1} noncoord=1
     deg 12  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 2), (1, 2, 1)]  W=3 Den=9 coord={(0, 0, 0): 4, (0, 0, 1): 3, (1, 0, 2): 1, (1, 2, 1): 1} noncoord=0
     deg 12  pinned 2          E=[(0, 0, 0), (0, 0, 1), (1, 0, 2), (1, 1, 0), (1, 2, 1)]  W=3 Den=9 coord={(0, 0, 0): 3, (0, 0, 1): 3, (1, 0, 2): 1} noncoord=2
     deg 12  pinned 4          E=[(0, 0, 0), (0, 1, 1), (0, 2, 2), (1, 0, 1), (1, 1, 0)]  NON-UNIMODULAR divisors=[1, 1, 1, 1, 2]
     deg 14  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, 2), (1, 2, 1)]  W=3 Den=11 coord={(0, 0, 0): 3, (0, 0, 1): 3, (0, 1, 0): 3, (1, 1, 2): 1, (1, 2, 1): 1} noncoord=0
     deg 14  pinned 2          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 0, 2), (1, 2, 0)]  W=4 Den=10 coord={(0, 0, 0): 4, (0, 1, 2): 1, (1, 0, 2): 3, (1, 2, 0): 1} noncoord=1
     deg 14  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 0), (1, 2, 1)]  W=3 Den=11 coord={(0, 0, 0): 3, (0, 0, 1): 4, (0, 1, 2): 1, (1, 1, 0): 3} noncoord=0
     deg 16  pinned 3          E=[(0, 0, 0), (0, 0, 1), (0, 1, 2), (1, 1, 0), (1, 2, 2)]  W=4 Den=12 coord={(0, 0, 0): 4, (0, 1, 2): 3, (1, 1, 0): 3, (1, 2, 2): 1} noncoord=1
     deg 20  pinned 3          E=[(0, 0, 0), (0, 1, 1), (0, 2, 2), (1, 0, 1), (1, 1, 2)]  W=5 Den=15 coord={(0, 0, 0): 2, (0, 1, 1): 3, (0, 2, 2): 2, (1, 0, 1): 4, (1, 1, 2): 4} noncoord=0
FORMAT 2x2x2x2 (exhaustive, 11 orbits, 1s): {'patterns': 11, 'deg agreed (2-3 independent runs)': 11, 'deg <= multinomial bound': 11, 'unimodular': 10, 'tropical formula agrees': 10, 'reduced (k=1)': 10, 'deg = W + deg Den': 10, 'corner patterns': 1, 'corner: deg = n(n-1)': 1, 'non-unimodular': 1}
   degree distribution: {6: 3, 8: 2, 9: 1, 11: 1, 12: 2, 14: 1, 18: 1}
   max degree 18, multinomial bound 24
     deg  6  pinned 1          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (1, 1, 0, 0)]  W=2 Den=4 coord={(0, 0, 0, 0): 4} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (1, 1, 0, 1)]  W=2 Den=4 coord={(0, 0, 0, 0): 2, (0, 0, 0, 1): 2} noncoord=0
     deg  6  pinned 2          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 1, 1, 0)]  W=2 Den=4 coord={(0, 0, 0, 0): 2, (0, 1, 1, 0): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 0, 1, 0), (1, 1, 1, 1)]  W=2 Den=6 coord={(0, 0, 0, 0): 2, (0, 0, 0, 1): 2, (0, 0, 1, 0): 2} noncoord=0
     deg  8  pinned 3          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 1, 1, 1)]  W=2 Den=6 coord={(0, 0, 0, 0): 2, (0, 0, 0, 1): 2, (0, 1, 1, 0): 2} noncoord=0
     deg  9  pinned 1          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 0, 1, 0)]  W=3 Den=6 coord={(0, 0, 0, 0): 4, (0, 1, 1, 0): 1, (1, 0, 1, 0): 1} noncoord=0
     deg 11  pinned 2          E=[(0, 0, 0, 0), (0, 0, 0, 1), (0, 1, 1, 0), (1, 0, 1, 1)]  W=3 Den=8 coord={(0, 0, 0, 0): 3, (0, 0, 0, 1): 3, (0, 1, 1, 0): 1, (1, 0, 1, 1): 1} noncoord=0
     deg 12  pinned 0  corner  E=[(0, 0, 0, 0), (0, 0, 1, 1), (0, 1, 0, 1), (1, 0, 0, 1)]  W=4 Den=8 coord={(0, 0, 0, 0): 2, (0, 0, 1, 1): 2, (0, 1, 0, 1): 2, (1, 0, 0, 1): 2} noncoord=0
     deg 12  pinned 4          E=[(0, 0, 0, 0), (0, 0, 1, 1), (1, 1, 0, 1), (1, 1, 1, 0)]  NON-UNIMODULAR divisors=[1, 1, 1, 2]
     deg 14  pinned 2          E=[(0, 0, 0, 0), (0, 0, 1, 1), (0, 1, 0, 1), (1, 0, 1, 0)]  W=4 Den=10 coord={(0, 0, 0, 0): 4, (0, 0, 1, 1): 4, (0, 1, 0, 1): 1, (1, 0, 1, 0): 1} noncoord=0
     deg 18  pinned 3          E=[(0, 0, 0, 0), (0, 0, 1, 1), (0, 1, 0, 1), (1, 1, 1, 0)]  W=5 Den=13 coord={(0, 0, 0, 0): 4, (0, 0, 1, 1): 4, (0, 1, 0, 1): 4, (1, 1, 1, 0): 1} noncoord=0
done
