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D.15.6.2 complexType
Procedure from library classify2.lib (see classify2_lib).
- Usage:
- complexType(fl); fl Poly
- Assume:
- fl is a bivariate polynomial defining a curve singularity at (0,0) of modality and corank <=2.
The ordering of the basering must be local.
- Return:
- A list with the complex type of fl and the modality.
Example:
| | LIB "classify2.lib";
ring R = 0,(x,y),ds;
Poly f = -16065*y^9*x-5103*y^9-128*x^7-595*y^9*x^4+6*y^5-21*y^9*x^5-2187*y^7+4*x^2*y^2+12*x*y^3-5102*y^8-4480*x^6*y^2-45359*x^4*y^4-54431*x^2*y^6-19152*x^5*y^3-64258*x^3*y^5-25515*y^7*x-14490*y^9*x^2-4830*y^9*x^3-27208*x*y^8-77490*x^3*y^6-25872*x^5*y^4+20*y^3*x^3+4*x^4*y^2-15116*x^4*y^3+8*x^3*y^2-6384*x^6*y^3+y^6+28*y^3*x^2-6048*x^5*y^2+28*y^4*x+30*y^4*x^2-1344*x^6*y-2835*y^10-51555*x^3*y^7-4235*y^8*x^4-17185*x^4*y^7-22668*x^3*y^4-84*y^5*x^7-5040*y^4*x^6-560*y^3*x^7-280*y^4*x^7-19320*y^5*x^5-2380*y^5*x^6-672*x^6*y^6-40880*x^4*y^6-8610*x^5*y^6-2289*x^5*y^7-38717*y^8*x^2-20384*y^8*x^3+x^8*y^8-x^7*y^7-14*x^7*y^6-105*x^6*y^7-280*x^5*y^8+21*x^6*y^8+8*x^7*y^8+14*y^5*x-20402*y^5*x^2-10204*y^6*x-5670*y^10*x-3234*y^10*x^2-630*y^10*x^3-35*y^10*x^4-189*y^12-945*y^11-y^14-1197*y^11*x-21*y^13-399*y^11*x^2-140*y^12*x-35*y^11*x^3-21*y^12*x^2-7*y^13*x-61803*y^7*x^2-57960*y^5*x^4-448*x^7*y+9*y^4-672*x^7*y^2;
complexType(f);
==> [1]:
==> Y[8,7]
==> [2]:
==> 1
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