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 18"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −4t2 + 14t−19 + 14t−1−4t−2
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`.
| q3−2q2 + 4q−6 + 8q−1−9q−2 + 9q−3−7q−4 + 5q−5−3q−6 + q−7
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| z2a6−z4a4 + a4−2z4a2−3z2a2−a2−z4−z2 + z2a−2 + a−2
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| a3z9 + az9 + 3a4z8 + 5a2z8 + 2z8 + 4a5z7 + 3a3z7 + az7 + 2z7a−1 + 4a6z6−5a4z6−15a2z6 + z6a−2−5z6 + 3a7z5−6a5z5−12a3z5−10az5−7z5a−1 + a8z4−5a6z4 + 6a4z4 + 17a2z4−4z4a−2 + z4−4a7z3 + 5a5z3 + 14a3z3 + 11az3 + 6z3a−1−a8z2 + a6z2−3a4z2−8a2z2 + 4z2a−2 + z2−2a5z−4a3z−4az−2za−1 + a4 + a2−a−2