field element

edit

code to find if element in finite field

def is_element_in_finite_field( something ):
    try:
        parent = something.parent()
        if parent.is_field() and parent.is_finite():
            return True
        return False
    except Exception:
        return False

test

sage: is_element_in_finite_field( 2018 )
False
sage: is_element_in_finite_field( GF(2017)(2018) )
True
sage: is_element_in_finite_field( QQ(2018) )
False
sage: is_element_in_finite_field( factorial(17) )
False
sage: F.<a> = GF(2048)
sage: is_element_in_finite_field( F.random_element() )
True

quapla