NOVELTY - Oleaginous microorganism comprising a genetic modification not present in an unmodified microorganism and a fatty acid methyl ester (FAME) profile that differs from the FAME profile of the unmodified microorganism when grown in culture is new.    USE - The oleaginous microorganism is useful for: producing renewable materials including a biofuel precursor, biofuel and biological oil, which is useful in an internal combustion engine of a vehicle and for producing a composition (preferably food products, pharmaceutical compositions, cosmetics and industrial compositions) for non-human animal or human, where the oleaginous microorganism is a yeast such as Rhodotorula (preferably Rhodoionda ingeniosa), Pseudozyma (preferably Pseudozyma rugulosa or Pseudozyma aphidis) or Sporidiobolus (preferably Sporidiobolus pararoseus) (all claimed); and for producing lipids, fatty acid esters, fatty acids, aldehydes, alcohols, and alkanes, where the biofuel is useful in land vehicles, marine vehicles, aviation vehicles, diesel vehicles and jet engines and for power generation such as raising steam, exchanging energy with a suitable heat transfer media, generating syngas, generating hydrogen and making electricity, and the food product includes common foods, liquid products including milks, beverages, therapeutic drinks and nutritional drinks, functional foods, supplements, nutraceuticals, infant formulas including formulas for pre-mature infants, foods for pregnant or nursing women, foods for adults, geriatric foods, and animal foods, the renewable materials further include chemicals, chemical intermediates, solvents, monomers, oligomers, polymers, biogasoline, biogasoline blendstocks, biodiesel, green diesel, renewable diesel, biodiesel blend stocks and biodistillates.    ADVANTAGE - The oleaginous microorganism can economically and efficiently produce desirable renewable materials with improved oxidative stability, low-temperature performance, reduced nitrogen oxide emissions, and high ignition quality, heat of combustion, cold flow property, oxidative stability, viscosity and lubricity.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for:    (1) a biofuel useful in a compression engine, comprises a FAME profile comprising an oleic acid mass fraction (m/m) of 50-70%, a linoleic acid mass fraction (m/m) of 15-35%, and a palmitic acid mass fraction (m/m) of less than 10%;    (2) a method-I for producing a biofuel precursor, comprising culturing the modified microorganism and collecting the fermentation broth produced by the microorganism;    (3) a method-II for producing a biofuel, comprising (a) supplying a carbon source, (b) converting the carbon source to fatty acids within the modified microorganism, (c) extracting fatty acids from the microorganism, and (d) reacting the fatty acids to produce a biofuel;    (4) a method-III for powering a vehicle by combusting the biofuel in an internal combustion engine; and    (5) a method-IV for producing a renewable material, comprising growing the modified microorganism in a culture.