The Determinant and the Signature: Difference between revisions

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Thus, for example, the knots [[5_1]] and [[10_132]] have the same determinant (and even the same Alexander and Jones polynomials), but different signatures:
Thus, for example, the knots [[5_1]] and [[10_132]] have the same determinant (and even the same Alexander and Jones polynomials), but different signatures:


{| align=center
⚫
<center>[[Image:5_1.gif|frame|none|[[5_1]]]]</center>[[Image:10_132.gif|frame|none|<center>[[10_132]]</center>]]
|[[Image:5_1.gif|frame|none|<center>[[5_1]]</center>|120px]]
⚫
|[[Image:10_132.gif|frame|none|<center>[[10_132]]</center>|120px]]
|}


<!--$$KnotDet /@ {Knot[5, 1], Knot[10, 132]}$$-->
<!--$$KnotDet /@ {Knot[5, 1], Knot[10, 132]}$$-->

Revision as of 22:23, 25 August 2005


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The Mathematica Package KnotTheory`

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Thus, for example, the knots 5_1 and 10_132 have the same determinant (and even the same Alexander and Jones polynomials), but different signatures:

5_1
10_132



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