NOVELTY - An oleaginous microbial cell comprising triglyceride oil, where the fatty acid profile of the triglyceride oil is selected from at least 1% C8:0, at least 1% C10:0, at least 1% C12:0, at least 2% C14:0, at least 30% C16:0, at least 5% C18:0, at least 60% C18:1, less than 7% C18:2, and at least 35% saturated fatty acids, is new.    USE - The oleaginous microbial cell is useful for producing an oleaginous microbial triglyceride oil composition, and making an oil-based product. The oil-based product is selected from soap, fuel, dielectric fluid, hydraulic fluid, plasticizer, lubricant, heat transfer fluid, and metal working fluid (all claimed).    ADVANTAGE - The present invention provides tailored oils produced from recombinant heterotrophic microorganisms, and provides improved methods for producing oil in microalgae, particularly for methods that produce oils with shorter chain length and a higher degree of saturation and without pigments, with greater yield and efficiency.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are:    (1) an oleaginous microbial triglyceride oil composition, where the fatty acid profile of the triglyceride oil is selected from at least 1% C8:0, at least 1% C10:0, at least 1% C12:0, at least 2% C14:0, at least 30% C16:0, at least 5% C18:0, at least 60% C18:1, less than 7% C18:2, and at least 35% saturated fatty acids;    (2) a method of producing an oleaginous microbial triglyceride oil composition by cultivating a population of oleaginous microbial cells in a culture medium until at least 10% of the dry cell weight of the oleaginous microbial cells is triglyceride oil; and isolating the triglyceride oil composition from the oleaginous microbial cells; and    (3) a method of making an oil-based product by subjecting the oleaginous microbial triglyceride oil composition to at least one chemical reaction selected from saponification; metathesis; acid hydrolysis; alkaline hydrolysis; enzymatic hydrolysis; catalytic hydrolysis; hot-compressed water hydrolysis; a catalytic hydrolysis reaction where the lipid is split into glycerol and fatty acids; an amination reaction to produce fatty nitrogen compounds; an ozonolysis reaction to produce mono- and dibasic-acids; a triglyceride splitting reaction selected from enzymatic splitting and pressure splitting; a condensation reaction that follows a hydrolysis reaction; a hydroprocessing reaction; a hydroprocessing reaction and a deoxygenation reaction or a condensation reaction prior to or simultaneous with the hydroprocessing reaction; a gas removal reaction; a deoxygenation reaction selected from a hydrogenolysis reaction, hydrogenation, a consecutive hydrogenation-hydrogenolysis reaction, a consecutive hydrogenolysis-hydrogenation reaction, and a combined hydrogenation-hydrogenolysis reaction; a condensation reaction following a deoxygenation reaction; an esterification reaction; an interestification reaction; a transesterification reaction; a hydroxylation reaction; and a condensation reaction following a hydroxylation reaction; and isolating the product of the reaction from the other components.