I'm new to maple ,I have a series of data  which are independent of angle to polarplot. the first coordinate is r, and the second coordinate is f(r,theta). what I want is  to color the figure according to the value of f(r,theta), like the figure below.

the data is listed as follow: 

[[0., 3.], [0.2000000000e-1, 2.960601340], [0.4000000000e-1, 2.922410774], [0.6000000000e-1, 2.885436547], [0.8000000000e-1, 2.849687068], [.1000000000, 2.815170918], [.1200000000, 2.781896852], [.1400000000, 2.749873799], [.1600000000, 2.719110871], [.1800000000, 2.689617363], [.2000000000, 2.661402758], [.2200000000, 2.634476731], [.2400000000, 2.608849150], [.2600000000, 2.584530087], [.2800000000, 2.561529812], [.3000000000, 2.539858808], [.3200000000, 2.519527764], [.3400000000, 2.500547591], [.3600000000, 2.482929415], [.3800000000, 2.466684589], [.4000000000, 2.451824698], [.4200000000, 2.438361556], [.4400000000, 2.426307219], [.4600000000, 2.415673985], [.4800000000, 2.406474402], [.5000000000, 2.398721271], [.5200000000, 2.392427650], [.5400000000, 2.387606862], [.5600000000, 2.384272500], [.5800000000, 2.382438431], [.6000000000, 2.382118800], [.6200000000, 2.383328042], [.6400000000, 2.386080879], [.6600000000, 2.390392334], [.6800000000, 2.396277732], [.7000000000, 2.403752707], [.7200000000, 2.412833211], [.7400000000, 2.423535514], [.7600000000, 2.435876220], [.7800000000, 2.449872265], [.8000000000, 2.465540928], [.8200000000, 2.482899838], [.8400000000, 2.501966977], [.8600000000, 2.522760694], [.8800000000, 2.545299706], [.9000000000, 2.569603111], [.9200000000, 2.595690390], [.9400000000, 2.623581418], [.9600000000, 2.653296473], [.9800000000, 2.684856242], [1., 2.718281828]]

 I'm new to Maple, recently I'm focusing on the implicitplot.  "Help" tells me that gridrefine specifies the number of recursive subdivisions to perform on any cells in the initial grid that have been determined to contain part of the curve to be plotted. Now I have a function to implicitplot. I find that when I increase the gridrefine, the figure is rougher, why does this happen since the recursive subdivisions are increased?

restart: F:=(x,y) -> -(1/2)*(25*(-2/25+y^2*(x^2+1)))*(1/2)^((-x^2+1)/(x^2+1))+4*(1/2)^(2*x^2/(x^2+1))*(1/25)+5*y^2*(1/2)^(-2*x^2/(x^2+1)); Digits:=20; plots:-implicitplot(F,0..20,0..10,gridrefine=3,crossingrefine=5,numpoints=1000,labels=["x","y"]); plots:-implicitplot(F,0..20,0..10,gridrefine=6,crossingrefine=5,numpoints=1000,labels=["x","y"]);

I have a function F(x,y), for example, F=x+y,and a relation between x and y，which we denote it by G(x,y)=0, and x can not be solved explicitly, For example, G(x,y)= x^5+x^4*y+x^3*y+2*x^2*y^2+x*y^5+y^5-1. and I want to plot F(x,y) with respect to y, where x satisfy G(x,y)=0, How can I do this?