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Line 60: ===Covariants of a binary quintic=== The algebra of invariants of a quintic form was found by Sylvester and is generated by invariants of degree 4, 8, 12, 18. The generators of degrees 4, 8, 12 generate a polynomial ring, which contains the square of ~~the~~Hermite's ~~generator~~skew invariant of degree 18. The invariants are rather complicated to write out explicitly: Sylvester showed that the generators of degrees 4, 8, 12, 18 have 12, 59, 228, and 848 terms often with very large coefficients. {{harv\|Schur\|1968\|loc=II.9}} {{harv\|Hilbert\|1993\|loc=XVIII}} The ring of covariants is generated by 23 covariants, one of which is the [[canonizant]] of degree 3 and order 3. ===Covariants of a binary sextic===

Invariant of a binary form: Difference between revisions