K13n4144
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Polynomial invariants
| Jones polynomial | Data:K13n4144/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+27 t-33+27 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4144/Conway Polynomial |
| Determinant | 131 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+2 z^6 a^6+8 z^4 a^6+11 z^2 a^6+5 a^6-z^8 a^4-5 z^6 a^4-9 z^4 a^4-6 z^2 a^4-2 a^4+z^6 a^2+3 z^4 a^2+3 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-10 z^6 a^{10}+8 z^4 a^{10}-z^2 a^{10}+5 z^9 a^9-16 z^7 a^9+14 z^5 a^9-9 z^3 a^9+4 z a^9+5 z^{10} a^8-15 z^8 a^8+15 z^6 a^8-18 z^4 a^8+13 z^2 a^8-3 a^8+2 z^{11} a^7+3 z^9 a^7-29 z^7 a^7+46 z^5 a^7-37 z^3 a^7+11 z a^7+10 z^{10} a^6-37 z^8 a^6+55 z^6 a^6-45 z^4 a^6+21 z^2 a^6-5 a^6+2 z^{11} a^5+2 z^9 a^5-24 z^7 a^5+47 z^5 a^5-33 z^3 a^5+8 z a^5+5 z^{10} a^4-18 z^8 a^4+33 z^6 a^4-24 z^4 a^4+10 z^2 a^4-2 a^4+4 z^9 a^3-12 z^7 a^3+23 z^5 a^3-15 z^3 a^3+4 z a^3+z^8 a^2+3 z^6 a^2-4 z^4 a^2+2 z^2 a^2-a^2+4 z^5 a-5 z^3 a+z a+z^4-z^2 }[/math] |
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