roots(RingElement) -- compute the roots of a polynomial

Synopsis

• Usage:

  roots p

• Function: roots
• Inputs:
  • p, a ring element, a univariate polynomial over ZZ, QQ, RR or CC.
• Optional inputs:
  • Precision => default value -1, the number of precision bits used to compute the roots.The default precision is 53 bits for polynomials over ZZ or QQ and the same as the coefficient ring for RR[x] (missing documentation) or CC[x] (missing documentation).
  • Unique => a Boolean value, default value false, whether to return multiple roots one or multiple times.
• Outputs:
  • a list, The roots of p each one represented as an elements of CC.

Description

i1 : RR_100[x]

o1 = RR   [x]
       100

o1 : PolynomialRing

i2 : p = x^13 + 5*x^9 + 7*x^4 + x +1

      13     9     4
o2 = x   + 5x  + 7x  + x + 1

o2 : RR   [x]
       100

i3 : ZZ[x]

o3 = ZZ[x]

o3 : PolynomialRing

i4 : p = x^13 + 5*x^9 + 7*x^4 + x +1

      13     9     4
o4 = x   + 5x  + 7x  + x + 1

o4 : ZZ[x]

The roots are computed using MPsolve (missing documentation).