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["K11a64"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −2t3 + 11t2−22t + 27−22t−1 + 11t−2−2t−3
| −2z6−z4 + 4z2 + 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 + 5q−2−9q−3 + 13q−4−15q−5 + 16q−6−14q−7 + 11q−8−7q−9 + 3q−10−q−11
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −z2a10−a10 + 2z4a8 + 3z2a8−z6a6−z4a6 + 3z2a6 + 3a6−z6a4−3z4a4−4z2a4−3a4 + z4a2 + 3z2a2 + 2a2
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| z5a13−2z3a13 + za13 + 3z6a12−5z4a12 + 2z2a12 + 5z7a11−8z5a11 + 4z3a11−za11 + 5z8a10−6z6a10 + 3z4a10−3z2a10 + a10 + 3z9a9 + z7a9−5z5a9 + 2z3a9 + z10a8 + 5z8a8−7z6a8 + 2z4a8 + 5z9a7−7z7a7 + 7z5a7−7z3a7 + 2za7 + z10a6 + 2z8a6−11z4a6 + 11z2a6−3a6 + 2z9a5−z7a5−3z5a5 + 2z3a5−za5 + 2z8a4−z6a4−9z4a4 + 11z2a4−3a4 + 2z7a3−6z5a3 + 5z3a3−za3 + z6a2−4z4a2 + 5z2a2−2a2