setQuotientRing given Ideal -- Set Quotient Ring given Ideal

Synopsis

• Usage:

  setQuotientRing(J)

• Inputs:
  • J, ideal of the curve
• Outputs:
  • an ideal

The function setQuotientRing sets the quotient ring QR of PR over an ideal, where the ideal may be given by defining equations. The global variables PR and QR are specified when setting its polynomial ring and quotient ring, respectively.

i1 : setPolynomialRing(GF 7,{x,y},{2,3})

o1 = PR

o1 : PolynomialRing

i2 : setQuotientRing(ideal(y^2-x^3-3*x))

o2 = QR

o2 : QuotientRing