K13n23
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Polynomial invariants
| Jones polynomial | Data:K13n23/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+38 t-51+38 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n23/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+4 z^2 a^8+4 a^8-5 z^4 a^6-10 z^2 a^6-6 a^6+2 z^6 a^4+6 z^4 a^4+9 z^2 a^4+4 a^4-3 z^4 a^2-4 z^2 a^2-a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-13 z^6 a^{10}+14 z^4 a^{10}-6 z^2 a^{10}+a^{10}+6 z^9 a^9-15 z^7 a^9+6 z^5 a^9+3 z^3 a^9-z a^9+4 z^{10} a^8+3 z^8 a^8-40 z^6 a^8+49 z^4 a^8-24 z^2 a^8+4 a^8+z^{11} a^7+15 z^9 a^7-49 z^7 a^7+41 z^5 a^7-17 z^3 a^7+4 z a^7+8 z^{10} a^6-4 z^8 a^6-41 z^6 a^6+62 z^4 a^6-35 z^2 a^6+6 a^6+z^{11} a^5+14 z^9 a^5-46 z^7 a^5+55 z^5 a^5-31 z^3 a^5+8 z a^5+4 z^{10} a^4-z^8 a^4-16 z^6 a^4+37 z^4 a^4-24 z^2 a^4+4 a^4+5 z^9 a^3-13 z^7 a^3+27 z^5 a^3-18 z^3 a^3+5 z a^3+2 z^8 a^2-2 z^6 a^2+11 z^4 a^2-9 z^2 a^2+a^2+4 z^5 a-4 z^3 a+z a+z^4-2 z^2+1 }[/math] |
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