The above data is available with the Mathematica
, as shown in the (simulated) Mathematica session below. Your input (in red
) is realistic; all else should have the same content as in a real mathematica session, but with different formatting. This Mathematica session is also available (albeit only for the knot 5_2
) as the notebook PolynomialInvariantsSession.nb
(The path below may be different on your system, and possibly also the KnotTheory` date)
K = Knot["10 103"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| 2t3−8t2 + 17t−21 + 17t−1−8t−2 + 2t−3
| 2z6 + 4z4 + 3z2 + 1
KnotTheory::credits: The program Alexander[K, r] to compute Alexander ideals was written by Jana Archibald at the University of Toronto in the summer of 2005.
KnotTheory::loading: Loading precomputed data in Jones4Knots`.
| −q2 + 3q−6 + 10q−1−11q−2 + 13q−3−12q−4 + 9q−5−6q−6 + 3q−7−q−8
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −z4a6−2z2a6−a6 + z6a4 + 3z4a4 + 3z2a4 + z6a2 + 3z4a2 + 4z2a2 + 3a2−z4−2z2−1
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| z5a9−2z3a9 + 3z6a8−6z4a8 + z2a8 + 5z7a7−12z5a7 + 10z3a7−4za7 + 5z8a6−12z6a6 + 13z4a6−6z2a6 + a6 + 2z9a5 + 3z7a5−16z5a5 + 21z3a5−6za5 + 9z8a4−23z6a4 + 25z4a4−8z2a4 + 2z9a3 + 2z7a3−9z5a3 + 9z3a3−2za3 + 4z8a2−5z6a2 + 2z2a2−3a2 + 4z7a−5z5a−2z3a + za + 3z6−6z4 + 3z2−1 + z5a−1−2z3a−1 + za−1