K13n2401
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Polynomial invariants
| Jones polynomial | Data:K13n2401/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n2401/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+8 a^2 z^6+z^6 a^{-2} -8 z^6-5 a^4 z^4+23 a^2 z^4+5 z^4 a^{-2} -22 z^4-8 a^4 z^2+27 a^2 z^2+7 z^2 a^{-2} -24 z^2-4 a^4+10 a^2+2 a^{-2} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+z^{10} a^{-2} +z^{10}+2 a^5 z^9+3 a^3 z^9+2 a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} +2 a^6 z^8-4 a^4 z^8-8 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} -8 z^8+a^7 z^7-10 a^5 z^7-20 a^3 z^7-18 a z^7-22 z^7 a^{-1} -13 z^7 a^{-3} -10 a^6 z^6+2 a^4 z^6+22 a^2 z^6+4 z^6 a^{-2} -6 z^6 a^{-4} +20 z^6-5 a^7 z^5+14 a^5 z^5+43 a^3 z^5+47 a z^5+49 z^5 a^{-1} +26 z^5 a^{-3} +13 a^6 z^4-a^4 z^4-36 a^2 z^4+2 z^4 a^{-2} +10 z^4 a^{-4} -30 z^4+6 a^7 z^3-10 a^5 z^3-42 a^3 z^3-51 a z^3-44 z^3 a^{-1} -19 z^3 a^{-3} -5 a^6 z^2+5 a^4 z^2+31 a^2 z^2+2 z^2 a^{-2} -4 z^2 a^{-4} +27 z^2-a^7 z+4 a^5 z+14 a^3 z+18 a z+13 z a^{-1} +4 z a^{-3} -4 a^4-10 a^2-2 a^{-2} -7 }[/math] |
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