TECHNOLOGY FOCUS - BIOTECHNOLOGY - Preparation: No preparation method is given. Preferred Components: The FatB gene expresses a protein having an amino acid sequence as given in clade 1 of table 1a of the specification, where the sequence has at least 85.9% sequence identity with each of SEQ ID NOs: 19, 22, 161 and 160, and optionally the fatty acid of the oil is enriched in 14-16C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 2 of table 1a of the specification, where the sequence has at least 89.5% sequence identity with each of SEQ ID NOs: 122-125, and 132-137, and optionally the fatty acid of the oil is enriched in 12-14C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 3 of table 1a of the specification, where the sequence has at least 92.5% sequence identity with each of SEQ ID NOs: 126 and 127, and optionally the fatty acid of the oil is enriched in 12-14C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 4 of table 1a of the specification, where the sequence has at least 83.8% sequence identity with SEQ ID NO: 79, and optionally the fatty acid of the oil is enriched in 12-14C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 6 of table 1a of the specification, where the sequence has at least 99.9% sequence identity with each of SEQ ID NOs: 110 and 111, and optionally the fatty acid of the oil is enriched in 10C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 7 of table 1a of the specification, where the sequence has at least 89.5% sequence identity with each of SEQ ID NOs: 73, 106, 185, 171-172, 173, and 174, and optionally the fatty acid of the oil is enriched in 10-12C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 8 of table 1a of the specification, the sequence having at least 85.9% sequence identity with each of SEQ ID NOs: 112 and 113, and 138-145, and optionally the fatty acid of the oil is enriched in 12-14C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 9 of table 1a of the specification, where the sequence has at least 83.8% sequence identity with each of SEQ ID NOs: 187-188 and 189, and optionally the fatty acid of the oil is enriched in 12-14C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 10 of table 1a of the specification, where the sequence has at least 95.9% sequence identity with each of SEQ ID NOs: 147, 146, 149, 150, 151 and 152, 148, 154, 156, 155, 157, 108, 75, 190, 191, and 192, and optionally the fatty acid of the oil is enriched in 14-16C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 11 of table 1a of the specification, where the sequence has at least 88.7% sequence identity with SEQ ID NO: 121, and optionally the fatty acid of the oil is enriched in 14-16C fatty acids. The FatB gene expresses a protein having an amino acid sequence as given in clade 12 of table 1a of the specification, where the sequence has at least 72.8% sequence identity with each of SEQ ID NOs: 129 and 186, and optionally the fatty acid of the oil is enriched in 16C fatty acids. The protein has acyl-acyl-acyl carrier protein thioesterase activity operable to alter the fatty acid profile of an oil produced by a recombinant cell comprising that sequence. The host cell is a plant cell, a microbial cell, or a microalgal cell. Preferred Method: The method (M2) further comprises producing a fatty acid, fuel, chemical, or other oil-derived product from the oil. The oil is produced by a microalgae and optionally, lacks 24C- alpha sterols. EXAMPLE - No suitable example given.