Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
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TypeError: unable to coerce 5 into Cyclic group of order 4 as a permutation group
sage: elts[2]=’(1,3,2,4)’
sage: OperationTable(H, operator.mul, elements=elts)
Traceback (most recent call last):
...
TypeError: unable to coerce (1,3,2,4) into Cyclic group of order 4 as a permutation group
sage: elts[2]=’(1,2,3,4)’
sage: OperationTable(H, operator.mul, elements=elts)
Traceback (most recent call last):
...
ValueError: (1,3)(2,4)*(1,2,3,4)=(1,4,3,2), and so the set is not closed
Unusable functions should be recognized as such:
sage: H=CyclicPermutationGroup(4)
sage: OperationTable(H, operator.add)
Traceback (most recent call last):
...
TypeError: elements () and () of Cyclic group of order 4 as a permutation group are incompatible
sage: from operator import xor
sage: OperationTable(H, xor)
Traceback (most recent call last):
...
TypeError: elements () and () of Cyclic group of order 4 as a permutation group are incompatible
TODO:
Provide color and grayscale graphical representations of tables. See commented-out stubs in source code.
AUTHOR:
•Rob Beezer (2010-03-15)
change_names(names)
For an existing operation table, change the names used for the elements.
INPUT:
•names - the type of names used, values are:
–’letters’ - lowercase ASCII letters are used for a base 26 representation of the elements’
positions in the list given by list(), padded to a common width with leading ‘a’s.
–’digits’ - base 10 representation of the elements’ positions in the list given by list(),
padded to a common width with leading zeros.
–’elements’ - the string representations of the elements themselves.
–a list - a list of strings, where the length of the list equals the number of elements.
OUTPUT: None. This method changes the table “in-place”, so any printed version will change and the
output of the dict() will also change. So any items of interest about a particular table need to be
copied/saved prior to calling this method.
EXAMPLES:
More examples can be found in the documentation for OperationTable since creating a new operation
table uses the same routine.
sage: from sage.matrix.operation_table import OperationTable
sage: D=DihedralGroup(2)
sage: T=OperationTable(D, operator.mul)
408 Chapter 23. Operation Tables