On the Lie superalgebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> weight system

To a finite type knot invariant, weight system can be associated, which is function on chord diagrams satisfying so-called 4-term relations. In the opposite direction, each determines invariant. particular, associated to any metrized Lie algebra, and superalgebra. However, computation of these systems complicated. recent paper by present author, an extension gl(N)-weight arbitrary permutations defined, allows one develop recurrence relation for efficient its values. addition, result proves universal, valid all values N allowing thus define unifying gl-weight taking in ring polynomials infinitely many variables C0=N,C1,C2,…. paper, we extend this construction superalgebra gl(m|n). Then prove that gl(m|n)-weight equivalent gl-one, under substitution C0=m−n.