deg is:   2
-----
Beginning calculation of possible graphs.
Adding vertex   4   to possible graphs.
Adding 1's.
Removing graphs where the basepoint has valence < 2.
Removing graphs which have a separating edge.
Putting graphs in normal form.
Adding vertex   3   to possible graphs.
Adding 1's.
Removing graphs where the basepoint has valence < 2.
Removing graphs which have a separating edge.
Putting graphs in normal form.
-----
Possible graphs are:   {[[1, 2], [1, 3], [1, 3], [2, 3]]}
-----
Beginning calculation of kernel.
-----
Examining element   1   of the list of possible graphs.
G is:   [[1, 2], [1, 3], [1, 3], [2, 3]]
Each element of kern listed below is in the kernel.
Elements of kern are indexed using the cubelist.
Kern is:   [[1, -1, 1]]
Cubelist is:   [[[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [1, 3]]], [[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [2, 3]]], [[[1, 2], [
1, 3], [1, 3], [2, 3]], [[1, 3], [2, 3]]]]
Finished with graph   1
-----
Starting with preliminaries of calculating the
image of the higher degree graphs.
Beginning calculation of higher degree graphs.
Adding vertex   4   to possible graphs.
Adding vertex   5   to possible graphs.
Adding 1's.
Removing graphs where the basepoint has valence < 2.
Removing graphs which have a separating edge.
Putting graphs in normal form.
Adding vertex   3   to possible graphs.
Adding vertex   4   to possible graphs.
Adding 1's.
Removing graphs where the basepoint has valence < 2.
Removing graphs which have a separating edge.
Putting graphs in normal form.
-----
Higher degree graphs are:   {[[1, 3], [1, 4], [1, 5], [3, 4], [3, 5], [4, 5]], [[1, 3], [1, 3], [1, 4], [1, 4], [1, 5], [3, 5], [4, 5]]
, [[1, 3], [1, 3], [1, 4], [1, 4], [2, 3], [2, 4]], [[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 3], [1, 4], [2, 3], [2, 4],
[3, 4]]}
-----
Beginning calculation of image.
-----
Examining element   5   of the list of higher degree graphs.
G is:   [[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]]
Saving the following for further computations:
K is:   [[1, -1, 1]]
B is:   [[0]]
F is:   [spacer]
Cubes are:   [[[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3], [2, 3], [2, 4]]], [[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3],
[2, 3], [3, 4]]], [[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3], [2, 4], [3, 4]]]]
-----
Examining element   4   of the list of higher degree graphs.
G is:   [[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]]
Saving the following for further computations:
K is:   [[1, -1, 1, -1, -1, 1]]
B is:   [[-1], [1], [-1]]
F is:   [[[[1, 2], [1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [1, 3]]], [[[1, 2], [1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [2, 3]]], [[
[1, 2], [1, 2], [1, 3], [1, 3], [2, 3]], [[1, 3], [2, 3]]]]
Cubes are:   [[[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 2], [1, 3], [1, 4]]], [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [
3, 4]], [[1, 2], [1, 3], [3, 4]]], [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 2], [1, 4], [3, 4]]], [[[1, 2], [1, 3], [1,
3], [1, 4], [2, 4], [3, 4]], [[1, 3], [1, 4], [2, 4]]], [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 3], [2, 4], [3, 4]]], [
[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 4], [2, 4], [3, 4]]]]
-----
Examining element   3   of the list of higher degree graphs.
G is:   [[1, 3], [1, 3], [1, 4], [1, 4], [2, 3], [2, 4]]
Saving the following for further computations:
K is:   [[1, 1]]
B is:   [[-1], [1], [-1]]
F is:   [[[[1, 2], [1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [1, 3]]], [[[1, 2], [1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [2, 3]]], [[
[1, 2], [1, 2], [1, 3], [1, 3], [2, 3]], [[1, 3], [2, 3]]]]
Cubes are:   [[[[1, 3], [1, 3], [1, 4], [1, 4], [2, 3], [2, 4]], [[1, 3], [1, 4], [2, 3]]], [[[1, 3], [1, 3], [1, 4], [1, 4], [2, 3], [
2, 4]], [[1, 3], [2, 3], [2, 4]]]]
-----
Examining element   2   of the list of higher degree graphs.
G is:   [[1, 3], [1, 3], [1, 4], [1, 4], [1, 5], [3, 5], [4, 5]]
Saving the following for further computations:
K is:   [[1, 0, 1]]
B is:   [[-1], [1], [-1]]
F is:   [[[[1, 3], [1, 3], [1, 3], [1, 4], [1, 4], [3, 4]], [[1, 3], [1, 4]]], [[[1, 3], [1, 3], [1, 3], [1, 4], [1, 4], [3, 4]], [[1,
3], [3, 4]]], [[[1, 3], [1, 3], [1, 3], [1, 4], [1, 4], [3, 4]], [[1, 4], [3, 4]]]]
Cubes are:   [[[[1, 3], [1, 3], [1, 4], [1, 4], [1, 5], [3, 5], [4, 5]], [[1, 3], [1, 4], [3, 5]]], [[[1, 3], [1, 3], [1, 4], [1, 4], [
1, 5], [3, 5], [4, 5]], [[1, 3], [1, 5], [4, 5]]], [[[1, 3], [1, 3], [1, 4], [1, 4], [1, 5], [3, 5], [4, 5]], [[1, 3], [3, 5], [4, 5]]]
]
-----
Examining element   1   of the list of higher degree graphs.
G is:   [[1, 3], [1, 4], [1, 5], [3, 4], [3, 5], [4, 5]]
Saving the following for further computations:
K is:   [[1, 1]]
B is:   [[-1], [1], [-1]]
F is:   [[[[1, 3], [1, 3], [1, 4], [3, 4], [3, 4]], [[1, 3], [1, 4]]], [[[1, 3], [1, 3], [1, 4], [3, 4], [3, 4]], [[1, 3], [3, 4]]], [[
[1, 3], [1, 3], [1, 4], [3, 4], [3, 4]], [[1, 4], [3, 4]]]]
Cubes are:   [[[[1, 3], [1, 4], [1, 5], [3, 4], [3, 5], [4, 5]], [[1, 3], [1, 4], [3, 5]]], [[[1, 3], [1, 4], [1, 5], [3, 4], [3, 5], [
4, 5]], [[1, 3], [3, 4], [4, 5]]]]
-----
Beginning to combine previously saved results.
Bcut is:   [[1, -1, 1], [0, 0, 0], [1, -1, 1], [0, 0, 0], [0, 0, 0]]
Echelon form calculations.  Stage:   1
Echelon form calculations.  Stage:   2
Echelon form calculations.  Stage:   3
Echelon form calculations.  Stage:   4
Echelon form calculations.  Stage:   5
Done with Echelon form calculations.  Calculating nullsp.
Nullsp calculated.
Nullsp is:   {[1, 0, 0, 0, 0], [0, 1, -1, 0, 0]}
Using nullsp to try to find elements in the image.
-----
Each element of imfin listed below is in the image.
Elements of imfin are indexed using cubesused.
Each element of kerfin listed below is a chain of
degree deg+1 that maps onto the corresponding
element of imfin.
Elements of kerfin are indexed using cubelist.
Imfin is:   [[1, -1, 1]]
Cubesused is:   [[[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [1, 3]]], [[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [2, 3]]], [[[1, 2],
[1, 3], [1, 3], [2, 3]], [[1, 3], [2, 3]]]]
Kerfin is:   [[1, -1, 1]]
Cubelist is:   [[[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3], [2, 3], [2, 4]]], [[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3
], [2, 3], [3, 4]]], [[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3], [2, 4], [3, 4]]]]
-----
Calculations completed.