A 25-year-old woman is evaluated for worsening shortness of breath that began 2 to 3 days ago. A week before the onset of these symptoms, she developed a flulike syndrome of fever, myalgia, arthralgia, and transient facial rash. Medical history is significant for anemia. Her father also has anemia. She takes no medications.

On physical examination, the patient appears pale. Temperature is 36.9 °C (98.5 °F), blood pressure is 100/60 mm Hg, pulse rate is 100/min, and respiration rate is 24/min. BMI is 24. Scleral icterus is noted. On palpation, her spleen is enlarged. Cardiopulmonary examination reveals tachycardia.

Laboratory studies:

Hematocrit

18%

Leukocyte count

8300/µL (8.3 × 109/L)

Platelet count

200,000/µL (200 × 109/L)

Lactate dehydrogenase

500 U/L

Direct antiglobulin (Coombs) test

Negative

A peripheral blood smear is shown.

Which of the following is the most appropriate diagnostic test?