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 22"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −2t3 + 6t2−10t + 13−10t−1 + 6t−2−2t−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`.
| q6−2q5 + 4q4−6q3 + 7q2−8q + 8−6q−1 + 4q−2−2q−3 + q−4
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −z6a−2−z6 + a2z4−4z4a−2 + z4a−4−4z4 + 3a2z2−5z2a−2 + 3z2a−4−5z2 + 2a2−2a−2 + 2a−4−1
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| z9a−1 + z9a−3 + 4z8a−2 + 2z8a−4 + 2z8 + 3az7−z7a−3 + 2z7a−5 + 3a2z6−12z6a−2−6z6a−4 + z6a−6−2z6 + 2a3z5−6az5−z5a−1−7z5a−5 + a4z4−6a2z4 + 16z4a−2 + 6z4a−4−4z4a−6−z4−3a3z3 + 7az3−4z3a−3 + 6z3a−5−2a4z2 + 6a2z2−12z2a−2−6z2a−4 + 4z2a−6 + 6z2−az + za−1 + za−3−za−5−2a2 + 2a−2 + 2a−4−1