Antipodes are right beneath somewhere on the opposite side of the earth. (aka Nadir, as opposed to Zenith, which is right above you) The latitude number stays the same, but north becomes south, and vice-versa.
171 degrees east becomes 351 degrees east (=171+180), which is equivalent to 9 degrees west from the Greenwich meridian. (=360-351) After 180 degrees the numbers go back to zero but with the opposite name (east instead of west, and vice versa)
I don't quite understand what to make of the 171 59.1000 value. I mean, the 59.1 arcminute part at least. I don't see how one can derive it from that.
Basically you are looking for something 154 kilometers (83 nautical miles) north of Lisbon, Portugal, 7 kilometers (3.6 nautical miles) into the Atlantic Ocean. If you want to locate something specific then you need more precise coordinates. But there is a funny road pattern near there.
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