diff --git a/bipartite.sage b/bipartite.sage
index 33dd63c..8348a6f 100644
--- a/bipartite.sage
+++ b/bipartite.sage
@@ -1,5 +1,27 @@
+'''
 # cogirth-packing gap of projections of graphic matroids
 
+K_{2,2}   gap ≈ 3/2      column = (0, 0, 0, 0)
+K_{2,3}   gap ≈ 3/2      column = (1, 0, 1, 1, 1)
+K_{2,4}   gap ≈ 2        column = (0, 0, 1, 1, 1, 1)
+K_{2,5}   gap ≈ 2        column = (1, 0, 1, 1, 1, 1, 1)
+K_{2,6}   gap ≈ 2        column = (1, 1, 1, 1, 1, 1, 1, 1)
+K_{2,7}   gap ≈ 2        column = (1, 0, 1, 1, 1, 1, 1, 1, 1)
+K_{2,8}   gap ≈ 2        column = (0, 0, 1, 1, 1, 1, 1, 1, 1, 1)
+K_{2,9}   gap ≈ 2        column = (1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1)
+K_{3,3}   gap ≈ 16/9     column = (1, 1, 1, 1, 1, 1)
+K_{3,4}   gap ≈ 5/3      column = (0, 0, 0, 1, 1, 1, 1)
+K_{3,5}   gap ≈ 12/5     column = (1, 1, 1, 1, 1, 1, 1, 1)
+K_{3,6}   gap ≈ 7/3      column = (0, 0, 0, 1, 1, 1, 1, 1, 1)
+K_{3,7}   gap ≈ 16/7     column = (1, 0, 0, 1, 1, 1, 1, 1, 1, 1)
+K_{3,8}   gap ≈ 9/4      column = (1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1)
+K_{3,9}   gap ≈ 20/9     column = (1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)
+K_{4,4}   gap ≈ 9/4      column = (1, 1, 1, 1, 1, 1, 1, 1)
+K_{4,5}   gap ≈ 7/4      column = (1, 0, 0, 0, 1, 1, 1, 1, 1)
+K_{4,6}   gap ≈ 8/3      column = (1, 1, 1, 1, 1, 1, 1, 1, 1, 1)
+K_{4,7}   gap ≈ 9/4      column = (1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1)
+'''
+
 from sage.all import *
 from sage.matroids.all import *
 from sage.graphs.all import *