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A 29-year-old African-American woman, gravida 4, para 0, comes to the physician for evaluation of recurrent abortions. Each pregnancy resulted in spontaneous abortion in the second trimester. The patient has a history of joint pain, chronic migraines, and recurrent poorly defined, macular skin rashes. She also reports episodes in which her fingers become pale and cold, and then redden. She is sexually active with her husband and does not use contraceptives. The patient works as a landscape architect. Her mother has a history of endometriosis. The patient takes a daily prenatal multivitamin and occasionally sumatriptan. She appears tired. Temperature is 36.5°C (97.7°F), pulse is 65/min, and blood pressure is 110/65 mm Hg. Examination of the hands shows two ulcerations on the tip of the right index finger and multiple tiny hemorrhages under the nails. There is a purple reticular rash on both calves. Which of the following is most likely to confirm the diagnosis?

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