K13n1459
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Polynomial invariants
| Jones polynomial | Data:K13n1459/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1459/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -2 z^4+a^2 z^2-4 z^2 a^{-2} +2 z^2 a^{-4} +z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}-3 a z^9+3 z^9 a^{-1} +6 z^9 a^{-3} -6 a^2 z^8-14 z^8 a^{-2} +5 z^8 a^{-4} -25 z^8-3 a z^7-29 z^7 a^{-1} -23 z^7 a^{-3} +3 z^7 a^{-5} +16 a^2 z^6+12 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +45 z^6+3 a^3 z^5+25 a z^5+58 z^5 a^{-1} +27 z^5 a^{-3} -9 z^5 a^{-5} -15 a^2 z^4+5 z^4 a^{-2} +11 z^4 a^{-4} -3 z^4 a^{-6} -24 z^4-6 a^3 z^3-24 a z^3-34 z^3 a^{-1} -12 z^3 a^{-3} +4 z^3 a^{-5} +3 a^2 z^2-7 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +z^2+a^3 z+4 a z+4 z a^{-1} -z a^{-5} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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