K13n1240
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Polynomial invariants
| Jones polynomial | Data:K13n1240/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-14 t^2+27 t-33+27 t^{-1} -14 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1240/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-4 z^4 a^8-12 z^2 a^8-9 a^8+3 z^6 a^6+13 z^4 a^6+19 z^2 a^6+9 a^6+z^6 a^4+2 z^4 a^4+z^2 a^4-z^4 a^2-2 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+26 z^5 a^{11}-15 z^3 a^{11}+3 z a^{11}+5 z^{10} a^{10}-18 z^8 a^{10}+12 z^6 a^{10}+5 z^4 a^{10}-2 z^2 a^{10}-2 a^{10}+2 z^{11} a^9+6 z^9 a^9-57 z^7 a^9+96 z^5 a^9-66 z^3 a^9+20 z a^9+12 z^{10} a^8-46 z^8 a^8+46 z^6 a^8-20 z^4 a^8+16 z^2 a^8-9 a^8+2 z^{11} a^7+10 z^9 a^7-72 z^7 a^7+119 z^5 a^7-87 z^3 a^7+27 z a^7+7 z^{10} a^6-23 z^8 a^6+19 z^6 a^6-9 z^4 a^6+13 z^2 a^6-9 a^6+8 z^9 a^5-32 z^7 a^5+50 z^5 a^5-38 z^3 a^5+12 z a^5+4 z^8 a^4-11 z^6 a^4+14 z^4 a^4-6 z^2 a^4+z^7 a^3+z^5 a^3-z^3 a^3+z a^3+3 z^4 a^2-3 z^2 a^2+a^2+z^3 a-z a }[/math] |
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