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HaplotypeCaller what is j in calculation of genotype likelihood?

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I have read the Methods and Algorithm section HC step 4: Assigning per-sample genotypes. I follow up until the equation for P(D|G) that includes a product over j. Please explain what j is. Are you taking half the likelihood of one read given allele 1 plus half the likelihood of that read given allele 2 and then taking the product of this over all reads?


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