Table 3.

Values of the two knot invariants for some knots: the determinant of a knot (the Alexander polynomial evaluated at $t=-1$, ${\mathrm{\Delta }}_K(t=-1)$) and the Vassiliev invariant of the second degree, $v_2\left(K\right)$, for a knot type K.

Knot Type	$0_1$	$3_1$	$4_1$	$5_1$	$5_2$	$3_1\#3_1$	$3_1\#4_1$
Determinant of knot	1	3	5	5	7	9	15
2nd order Vassiliev invariant	0	1	$-1$	3	2	2	0