#5518: Improve efficiency of multiplcative_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
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The attached patch vastly improves the efficiency of the
multiplicative_order() function for number field elements. Before, this
example:
{{{
sage: x = polygen(QQ)
sage: K.<a>=NumberField(x^40 - x^20 + 4)
sage: u = 1/4*a^30 + 1/4*a^10 + 1/2
sage: u.multiplicative_order()
6
sage: a.multiplicative_order()
+Infinity
}}}
would have required raising a to the power 2**40 (I'm serious). Now it
just works (fast).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5518>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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