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 14"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −2t3 + 8t2−12t + 13−12t−1 + 8t−2−2t−3
| −2z6−4z4 + 2z2 + 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`.
| 1−2q−1 + 4q−2−6q−3 + 9q−4−9q−5 + 9q−6−8q−7 + 5q−8−3q−9 + q−10
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| z4a8 + 2z2a8−z6a6−3z4a6−2z2a6−a6−z6a4−3z4a4−z2a4 + a4 + z4a2 + 3z2a2 + a2
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| z4a12−z2a12 + 3z5a11−4z3a11 + za11 + 4z6a10−4z4a10 + 4z7a9−4z5a9 + 2za9 + 3z8a8−4z6a8 + 5z4a8−3z2a8 + z9a7 + 3z7a7−9z5a7 + 8z3a7−2za7 + 5z8a6−14z6a6 + 16z4a6−9z2a6 + a6 + z9a5 + z7a5−9z5a5 + 10z3a5−4za5 + 2z8a4−5z6a4 + 2z4a4−z2a4 + a4 + 2z7a3−7z5a3 + 6z3a3−za3 + z6a2−4z4a2 + 4z2a2−a2