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["10 112"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −t4 + 5t3−11t2 + 17t−19 + 17t−1−11t−2 + 5t−3−t−4
| −z8−3z6−z4 + 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`.
| q3−4q2 + 7q−10 + 14q−1−14q−2 + 14q−3−11q−4 + 7q−5−4q−6 + q−7
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −a2z8 + a4z6−5a2z6 + z6 + 3a4z4−7a2z4 + 3z4 + a4z2 + z2−2a4 + 4a2−1
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| 3a3z9 + 3az9 + 7a4z8 + 13a2z8 + 6z8 + 8a5z7 + 4a3z7 + 4z7a−1 + 7a6z6−9a4z6−35a2z6 + z6a−2−18z6 + 4a7z5−8a5z5−17a3z5−16az5−11z5a−1 + a8z4−7a6z4 + 3a4z4 + 28a2z4−2z4a−2 + 15z4−3a7z3−a5z3 + 9a3z3 + 13az3 + 6z3a−1 + a6z2 + a4z2−3a2z2−3z2 + 2a5z + 2a3z−2a4−4a2−1