7.20000000000000E+0000 FALSE FALSE 0.00000000000000E+0000 2.00000000000000E+0000 10 1 4 0 -1.00000000000023E-0001 1.00000000000023E-0001 1.00000000000023E-0001 -1.00000000000023E-0001 20 20 10 10 3 0 1.20000000000073E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0 640 480 3 0 0 314 314 0 311 241 3 16711680 0.00000000000000E+0000 1 255 2.00000000000045E-0001 1 32768 5.00000000000000E-0001 1 16777215 1.00000000000000E+0000 1 1 255 FALSE -155 -120 0 0 0 0 2.40000000000000E+0002 z z 5 0 0 TRUE FALSE TRUE 16711680 65535 16711935 -6 0 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 1 10 10 0 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 2.00000000000000E+0000 1.00000000000000E+0002 -2.00000000000000E+0001 2.00000000000045E-0001 3 FALSE 1 FALSE FALSE FALSE 20 316 0 320 314 0 294 241 3 16711680 0.00000000000000E+0000 1 255 2.00000000000045E-0001 1 32768 5.00000000000000E-0001 1 16777215 1.00000000000000E+0000 1 1 255 FALSE -80 -120 67 0 0 0 1.10000000000000E+0002 z+exp(i*z) z+exp(i*z) 5 1 1 TRUE FALSE TRUE 16711680 65535 16711935 -6 0 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 1 10 10 0 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 2.00000000000000E+0000 1.00000000000000E+0002 -2.00000000000000E+0001 2.00000000000045E-0001 3 FALSE 1 FALSE FALSE FALSE 20 150 187 320 314 0 294 241 3 16711680 0.00000000000000E+0000 1 255 2.00000000000045E-0001 1 32768 5.00000000000000E-0001 1 16777215 1.00000000000000E+0000 1 1 255 FALSE -119 -79 28 41 0 0 1.00000000000000E+0002 1+(1+i)*z 1+(1+i)*z 5 1 2 TRUE FALSE TRUE 16711680 65535 16711935 -6 0 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 1.00000000000000E+0000 1 10 10 0 0.00000000000000E+0000 0.00000000000000E+0000 0.00000000000000E+0000 2.00000000000000E+0000 1.00000000000000E+0002 -2.00000000000000E+0001 2.00000000000045E-0001 3 FALSE 1 FALSE FALSE FALSE 20 3 3 530 278 1 6 The amplitwist principle basically says that if f is analytic at z0, then it locally behaves as an "amplitwist", i.e. a rotation (twisting) followed by amplication. In the example shown f(z)=z+exp(i*z). The linearization is given by f(0)+f'(0)*z=1+(1+i)*z=1+sqrt(2)*exp(pi*i/4)*z. Experiment with the domain by changing the square coordinates so as to form larger squares centered at the origin.