#5518: [with patch, positive review] Improve efficiency of
multiplicative_order()
for number field elements
---------------------------+------------------------------------------------
Reporter: cremona | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.4.1
Component: number theory | Keywords: number field multiplicative order
---------------------------+------------------------------------------------
Changes (by fwclarke):
* priority: minor => major
Comment:
This is excellent. A great speed up, and it gives the right answer!
I would suggest adding the doctest
{{{
sage: K.<a, b> = NumberField([x^2 + x + 1, x^2 - 3])
sage: z = (a - 1)*b/3
sage: z.multiplicative_order()
12
}}}
because sage-3.4 says the order is `+infinity`.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5518#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
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