Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
sage: T
* a b c d
+--------
a| a b c d
b| b a d c
c| c d a b
d| d c b a
sage: T.translation()[’c’]
(1,2)
sage: T.change_names(’digits’)
sage: T
* 0 1 2 3
+--------
0| 0 1 2 3
1| 1 0 3 2
2| 2 3 0 1
3| 3 2 1 0
sage: T.translation()[’2’]
(1,2)
sage: T.change_names(’elements’)
sage: T
* () (3,4) (1,2) (1,2)(3,4)
+--------------------------------------------
()| () (3,4) (1,2) (1,2)(3,4)
(3,4)| (3,4) () (1,2)(3,4) (1,2)
(1,2)| (1,2) (1,2)(3,4) () (3,4)
(1,2)(3,4)| (1,2)(3,4) (1,2) (3,4) ()
sage: T.translation()[’(1,2)’]
(1,2)
sage: T.change_names([’w’, ’x’, ’y’, ’z’])
sage: T
* w x y z
+--------
w| w x y z
x| x w z y
y| y z w x
z| z y x w
sage: T.translation()[’y’]
(1,2)
column_keys()
Returns a tuple of the elements used to build the table.
Note: column_keys and row_keys are identical. Both list the elements in the order used to label the
table.
OUTPUT:
The elements of the algebraic structure used to build the table, as a list. But most importantly, elements
are present in the list in the order which they appear in the table’s column headings.
EXAMPLES:
sage: from sage.matrix.operation_table import OperationTable
sage: G=AlternatingGroup(3)
sage: T=OperationTable(G, operator.mul)
sage: T.column_keys()
((), (1,2,3), (1,3,2))
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