Inside an orange unit circle we fit two blue circles of radius 1/2. A yellow circle is tangent to the two blue circles and the inner edge of the orange circle. A green circle inside the orange circle is tangent to one of the blue circles, the yellow circle, and the orange circle. If the orange circle is centered at (0,0) what are the coordinates for the centers of the other four circles? The blue ones should be easy.

Presume the circles are placed in the circle as shown in the picture.

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