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 89"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| t3−8t2 + 24t−33 + 24t−1−8t−2 + t−3
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 + 5q−9 + 13q−1−16q−2 + 17q−3−15q−4 + 12q−5−7q−6 + 3q−7−q−8
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −a8 + 3z2a6 + 2a6−3z4a4−4z2a4−a4 + z6a2 + 2z4a2 + 2z2a2−z4 + 1
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| z5a9−2z3a9 + za9 + 3z6a8−5z4a8 + 3z2a8−a8 + 5z7a7−7z5a7 + 4z3a7−za7 + 5z8a6−3z6a6−4z4a6 + 6z2a6−2a6 + 2z9a5 + 11z7a5−27z5a5 + 20z3a5−4za5 + 12z8a4−15z6a4−2z4a4 + 6z2a4−a4 + 2z9a3 + 15z7a3−35z5a3 + 19z3a3−2za3 + 7z8a2−4z6a2−9z4a2 + 3z2a2 + 9z7a−15z5a + 5z3a + 5z6−6z4 + 1 + z5a−1