K13n1609
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Polynomial invariants
| Jones polynomial | Data:K13n1609/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+19 t-23+19 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1609/Conway Polynomial |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+2 a^2 z^4-z^4 a^{-2} +3 z^4-a^4 z^2-2 z^2 a^{-2} +4 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9+3 a z^9+4 z^9 a^{-1} -9 a^4 z^8-19 a^2 z^8+3 z^8 a^{-2} -7 z^8-5 a^5 z^7-13 a^3 z^7-23 a z^7-14 z^7 a^{-1} +z^7 a^{-3} +15 a^4 z^6+21 a^2 z^6-12 z^6 a^{-2} -6 z^6+12 a^5 z^5+28 a^3 z^5+30 a z^5+10 z^5 a^{-1} -4 z^5 a^{-3} +2 a^6 z^4-5 a^4 z^4-5 a^2 z^4+13 z^4 a^{-2} +15 z^4-7 a^5 z^3-16 a^3 z^3-14 a z^3-z^3 a^{-1} +4 z^3 a^{-3} -a^6 z^2-3 a^2 z^2-6 z^2 a^{-2} -10 z^2+a^5 z+2 a^3 z+a z-z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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