41. You can continue manipulating the equation until you obtain a quartic equation and then attempt to find its roots. 42. :Unfortunately I don't know an easy way, as their always seem to occur quartic equations. 43. It vanishes when the ternary quartic can be written as a sum of five 4th powers of linear forms. 44. Quartic Casimir operators allow one to square the stress energy tensor, giving rise to the Yang-Mills action.45. A quartic which obtains these 16 nodes is called a Kummer Quartic, and we will concentrate on them below. 46. A quartic which obtains these 16 nodes is called a Kummer Quartic , and we will concentrate on them below. 47. But we also know that a quartic with more than three double points must factor ( it cannot be conics. 48. A derivation of the quartic is given below, along with the desired width in terms of the quartic solution. 49. A derivation of the quartic is given below, along with the desired width in terms of the quartic solution. 50. :However, when you solve that equation you'll still end up having to solve the same quartic .
