In one example of Sage math (search for octahedral) there is this line:
K.<v> = sage.groups.matrix_gps.finitely_generated.CyclotomicField(10)
What does this .<v> do?
K.<v> notation in Python 2
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1 Answers
SageMath code is not Python, albeit very similar. The syntax
A.<b> = C(d, e, f)
in SageMath is roughly equivalent to the following Python code
A = C(d, e, f, names=('b',))
b = A.gen()
I.e., first the parent ring A is created, with generator named 'b', then a variable b is initialized to the generator of A.
You can see what any SageMath statement is translated to using the function preparse():
sage: preparse('A.<b> = C(d, e, f)')
"A = C(d, e, f, names=('b',)); (b,) = A._first_ngens(1)"
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