Systems and methods for identifying, confirming, mapping, and categorizing sample polymers, such as nucleic acid sequences, are provided. An estimation of the fraction of first and second polymers in a sample of polymers can be calculated by inputting a first hybridization value indicative of hybridization affinity of the sample of polymers to polymers probes that are complementary to the first polymer and inputting a second hybridization value indicative of hybridization affinity of the sample of polymers to polymers probes that are complementary to the second polymer. The estimation of the fraction of the first and second polymers in the sample of polymers can then be calculated by dividing the first hybridization value by a sum of the first and second hybridization values. Estimations of the fractions of alleles in a sample can be clustered to form a fraction pattern usable for identifying, confirming, mapping, and genotyping sample nucleic acids.