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Eric, I suggest you check for parallax at the 102 setting. Include something close to the camera (50cm) with something a long way away in the background that has sufficient detail such that you can see whether the near object changes position from one shot to the next. Take two shots exactly as you would for an actual panorama and set the near object in the middle of the overlap of the two images. So rotate the camera from -45° to +45° The near object can be anything you like - a pole or stick or a piece of sticky tape on a window that looks out onto a distant view. The object should be in the centre of the frame when the head is at 0°. You can use live view and magnify the image to judge the parallax shift visually, or you can take the shots and compare them in Photoshop, or stitch the shots to a layered PSD file and compare layers in Photoshop by switching the top layer on and off.
Eric, I think 102mm looks better. They are easier to judge when you remove the fisheye distortion by stitching the pair of images and cropping out the area of interest as a rectilinear PSD layered file. (Put control points only on the background). Switching the upper layer on/off then reveals the parallax shift clearly. I did this as best I could using your crops: