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["K11a65"];
KnotTheory::loading: Loading precomputed data in PD4Knots`.
| −3t2 + 15t−23 + 15t−1−3t−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`.
| q−2 + 4q−1−6q−2 + 8q−3−9q−4 + 9q−5−7q−6 + 6q−7−4q−8 + 2q−9−q−10
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
| −a10 + 2z2a8 + a8−z4a6−z4a4 + z2a4 + a4−z4a2−z2a2−a2 + z2 + 1
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
| z7a11−5z5a11 + 7z3a11−3za11 + 2z8a10−9z6a10 + 11z4a10−5z2a10 + a10 + 2z9a9−7z7a9 + 3z5a9 + 4z3a9−2za9 + z10a8−z8a8−7z6a8 + 9z4a8−3z2a8 + a8 + 4z9a7−15z7a7 + 17z5a7−8z3a7 + za7 + z10a6−z8a6−2z6a6 + z4a6 + z2a6 + 2z9a5−5z7a5 + 7z5a5−4z3a5 + 2z8a4−2z6a4 + 2z4a4−2z2a4 + a4 + 2z7a3−2z3a3 + za3 + 2z6a2−3z2a2 + a2 + 2z5a−3z3a + za + z4−2z2 + 1