K13n1924
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Polynomial invariants
| Jones polynomial | Data:K13n1924/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-24 t+31-24 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1924/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -2 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +2 z^4-a^2 z^2-2 z^2 a^{-2} +z^2 a^{-6} +4 z^2-a^2-2 a^{-2} +2 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^9 a^{-1} -z^9 a^{-3} -z^9 a^{-5} +4 z^9 a^{-7} -11 z^8 a^{-2} -38 z^8 a^{-4} -23 z^8 a^{-6} +z^8 a^{-8} +3 z^8+a z^7-10 z^7 a^{-1} -14 z^7 a^{-3} -22 z^7 a^{-5} -19 z^7 a^{-7} +7 z^6 a^{-2} +51 z^6 a^{-4} +32 z^6 a^{-6} -4 z^6 a^{-8} -8 z^6+6 z^5 a^{-1} +15 z^5 a^{-3} +35 z^5 a^{-5} +26 z^5 a^{-7} +3 a^2 z^4-2 z^4 a^{-2} -32 z^4 a^{-4} -16 z^4 a^{-6} +4 z^4 a^{-8} +13 z^4+a^3 z^3+3 a z^3+2 z^3 a^{-1} -6 z^3 a^{-3} -14 z^3 a^{-5} -8 z^3 a^{-7} -3 a^2 z^2-3 z^2 a^{-2} +4 z^2 a^{-4} +2 z^2 a^{-6} -8 z^2-a^3 z-2 a z-z a^{-1} +z a^{-3} -z a^{-7} +a^2+2 a^{-2} +2 a^{-4} + a^{-6} +3 }[/math] |
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