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FormalGroupPoint + FormalGroupPoint -- sum of points of a formal group

Synopsis

Description

i1 : ZZ[x,y]

o1 = ZZ[x..y]

o1 : PolynomialRing
i2 : f = FGL(series(x+y+x*y,10))

o2 = FormalGroupLaw{x*y + x + y, 10}

o2 : FormalGroupLaw
i3 : ZZ[u]

o3 = ZZ[u]

o3 : PolynomialRing
i4 : s = formalGroupPoint(f,series(u^2+u,5))

                                                                     2
o4 = FormalGroupPoint{FormalGroupLaw{x*y + x + y, 10}, FormalSeries{u  + u, 5}}

o4 : FormalGroupPoint
i5 : t = formalGroupPoint(f,series(u^3,5))

                                                                     3
o5 = FormalGroupPoint{FormalGroupLaw{x*y + x + y, 10}, FormalSeries{u , 5}}

o5 : FormalGroupPoint
i6 : s+t

                                                                     5    4    3    2
o6 = FormalGroupPoint{FormalGroupLaw{x*y + x + y, 10}, FormalSeries{u  + u  + u  + u  + u, 5}}

o6 : FormalGroupPoint

Ways to use this method: