K13n4000
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Polynomial invariants
| Jones polynomial | Data:K13n4000/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+25 t-31+25 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4000/Conway Polynomial |
| Determinant | 119 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +3 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} +4 z^2 a^{-2} -6 z^2 a^{-4} +4 z^2 a^{-6} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +7 z^9 a^{-5} +6 z^9 a^{-7} +7 z^8 a^{-4} +16 z^8 a^{-6} +9 z^8 a^{-8} +9 z^7 a^{-3} +z^7 a^{-5} -3 z^7 a^{-7} +5 z^7 a^{-9} +10 z^6 a^{-2} -5 z^6 a^{-4} -37 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +4 z^5 a^{-1} -12 z^5 a^{-3} -24 z^5 a^{-5} -18 z^5 a^{-7} -10 z^5 a^{-9} -10 z^4 a^{-2} -9 z^4 a^{-4} +14 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} +z^4-z^3 a^{-1} +7 z^3 a^{-3} +16 z^3 a^{-5} +12 z^3 a^{-7} +4 z^3 a^{-9} +6 z^2 a^{-2} +9 z^2 a^{-4} +4 z^2 a^{-6} +z^2 a^{-8} -z a^{-3} -3 z a^{-5} -z a^{-7} +z a^{-9} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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