K13n1556
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Polynomial invariants
| Jones polynomial | Data:K13n1556/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+28 t-35+28 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1556/Conway Polynomial |
| Determinant | 119 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+z^4 a^4-z^2 a^4-a^4+z^6 a^2+2 z^4 a^2+2 z^2 a^2+a^2-z^4-z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+6 a^4 z^{10}+2 a^2 z^{10}+6 a^7 z^9+7 a^5 z^9+2 a^3 z^9+a z^9+5 a^8 z^8-8 a^6 z^8-19 a^4 z^8-6 a^2 z^8+3 a^9 z^7-18 a^7 z^7-34 a^5 z^7-13 a^3 z^7+a^{10} z^6-13 a^8 z^6+2 a^6 z^6+27 a^4 z^6+15 a^2 z^6+4 z^6-8 a^9 z^5+23 a^7 z^5+60 a^5 z^5+28 a^3 z^5+z^5 a^{-1} -3 a^{10} z^4+9 a^8 z^4+9 a^6 z^4-11 a^4 z^4-17 a^2 z^4-9 z^4+4 a^9 z^3-20 a^7 z^3-41 a^5 z^3-18 a^3 z^3-3 a z^3-2 z^3 a^{-1} +2 a^{10} z^2-5 a^8 z^2-9 a^6 z^2+3 a^4 z^2+8 a^2 z^2+3 z^2+6 a^7 z+10 a^5 z+4 a^3 z+a^8+a^6-a^4-a^2+1 }[/math] |
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