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["8 18"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −t3 + 5t2−10t + 13−10t−1 + 5t−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`.
| q4−4q3 + 6q2−7q + 9−7q−1 + 6q−2−4q−3 + q−4
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −z6 + a2z4 + z4a−2−3z4 + a2z2 + z2a−2−z2−a2−a−2 + 3
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| 3az7 + 3z7a−1 + 6a2z6 + 6z6a−2 + 12z6 + 4a3z5 + 3az5 + 3z5a−1 + 4z5a−3 + a4z4−9a2z4−9z4a−2 + z4a−4−20z4−4a3z3−9az3−9z3a−1−4z3a−3 + 3a2z2 + 3z2a−2 + 6z2 + az + za−1 + a2 + a−2 + 3