#4536: Various number field order and ideal utilities
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Reporter: cremona | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.2.1
Component: number theory | Keywords: number fields, orders, ideals
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Additional methods for (fractional) ideals:
1. Ideals cache their norms
2. Integral ideals now have a residues() iterator
3. numerator() and denominator() defined for fractional ideals
4. is_coprime() defined for a fractional ideal & another (or a field
element)
5. euler_phi() defined for integral ideals
Additional method for orders:
1. coordinates(x) for x in the field gives a vector of rationals
expressing x as a linear combination of the order's Z-basis.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4536>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
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