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We complete the classification of flocks of the quadratic cone in PGð3; qÞ for qc 29, by showing by computer that there are exactly 8 flocks of the quadratic cone in PGð3; 19Þ ,1 8 flocks of the quadratic cone in PGð3; 23Þ, 12 flocks of the quadratic cone in PGð3; 25Þ ,1 4 flocks of the quadratic cone in PGð3; 27Þ, and 28 flocks of the quadratic cone in PGð3; 29Þ ,u p to equivalence.

Classification of flocks of the quadratic cone over fields of order at most 29