K13n1003
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Polynomial invariants
| Jones polynomial | Data:K13n1003/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-5 t^2+8 t-9+8 t^{-1} -5 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1003/Conway Polynomial |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-3 z^4 a^8-11 z^2 a^8-9 a^8+2 z^6 a^6+11 z^4 a^6+19 z^2 a^6+10 a^6-z^4 a^4-3 z^2 a^4-2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+6 z^4 a^{12}-2 z^2 a^{12}+3 z^9 a^{11}-17 z^7 a^{11}+28 z^5 a^{11}-18 z^3 a^{11}+4 z a^{11}+3 z^{10} a^{10}-15 z^8 a^{10}+17 z^6 a^{10}-3 z^4 a^{10}+z^2 a^{10}-2 a^{10}+z^{11} a^9+2 z^9 a^9-38 z^7 a^9+84 z^5 a^9-68 z^3 a^9+21 z a^9+6 z^{10} a^8-35 z^8 a^8+60 z^6 a^8-45 z^4 a^8+24 z^2 a^8-9 a^8+z^{11} a^7+z^9 a^7-35 z^7 a^7+87 z^5 a^7-81 z^3 a^7+27 z a^7+3 z^{10} a^6-19 z^8 a^6+38 z^6 a^6-39 z^4 a^6+25 z^2 a^6-10 a^6+2 z^9 a^5-14 z^7 a^5+31 z^5 a^5-33 z^3 a^5+13 z a^5-3 z^4 a^4+4 z^2 a^4-2 a^4-2 z^3 a^3+3 z a^3 }[/math] |
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