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D.15.14.1 puiseuxList
Procedure from library puiseuxexpansions.lib (see puiseuxexpansions_lib).
- Usage:
- puiseuxList(PP, maxDeg, iVarX, iVarY); Puiseux expansion PP, int maxDeg
is the integer up to which the Puiseux expansions will be computed
(if maxDeg = -1 computes the singular part),
int iVarX is the index of the X variable for the ring C{X}[Y],
int iVarY, the index of the Y variable for the ring C{X}[Y].
- Assume:
- basering has exactly two variables;
f is convenient, that is, f(x,0) != 0 != f(0,y).
- Return:
- a list with the Puiseux expansions of PP.
Example:
| | LIB "puiseuxexpansions.lib";
ring r=0,(x,y),dp;
Puiseux PP = x5+2x3y-x2y2+3xy5+y6+y7;
puiseuxList(PP, 5, 1, 2);
==> [1]:
==> ( 6326x5+634x4+71x3+10x2+3x-1 ) / 1
==> Denominator of exponent : 1
==>
==> [2]:
==> ( -1876641/256x10-2694181/32768x9-38313/64x8+27513/1024x7-909/16x6+751\
/128x5-27/4x4+9/8x3-3/2x2+x ) / 1
==> Denominator of exponent : 2
==>
==> [3]:
==> ( -1876641/256x10+2694181/32768x9-38313/64x8-27513/1024x7-909/16x6-751\
/128x5-27/4x4-9/8x3-3/2x2-x ) / 1
==> Denominator of exponent : 2
==>
==> [4]:
==> ( -746719/256*x^10+(-12549/16*@a)*x^9+13801/64*x^8+(989/16*@a)*x^7-299\
/16*x^6+(-45/8*@a)*x^5+7/4*x^4+(@a)*x^3-x^2+(@a)*x ) / 1
==> Denominator of exponent : 2
==> Minimal polynomial: (@a^2+1)
==>
==> [5]:
==> ( 1813627/128x5+2113/16x4+639/8x3+1/2x2+2x ) / 1
==> Denominator of exponent : 1
==>
==> [6]:
==> ( 5/128x5-1/16x4+1/8x3-1/2x2 ) / 1
==> Denominator of exponent : 1
==>
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