Nonlinear Diophantine equations: Stepwise display of roots for mod(X^n+Y^n,P)=0

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Mathematical background information:

All demos about this topic:
1. Plotting solutions of nonlinear Diophantine equations^a+Y^b=cZ
2. Patterns of roots in nonlinear Diophantine equations X^4+Y^4=cZ
3. Grids of roots in nonlinear Diophantine equation X^4+Y^4=17*Z
4. Patterns of roots in nonlinear Diophantine equations X^n+Y^n=cZ
5. Solutions (X,Y) of X^n+Y^n=cZ from minimal setup
6. Symmetries of roots in nonlinear Diophantine equations X^n+Y^n=cZ
7. Automatic solution of nonlinear Diophantine equations mod(X^n+Y^n,P)=0
8. Nonlinear Diophantine equations: Stepwise display of roots for mod(X^n+Y^n,P)=0
9. Nonlinear Diophantine equations: Colored textures by roots of mod(X^n+Y^n,P)=0
10. Nonlinear Diophantine equations: Colored textures 2 by roots of mod(X^n+Y^n,P)=0
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