K13n2004
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Polynomial invariants
| Jones polynomial | Data:K13n2004/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3-t^2+8 t-11+8 t^{-1} - t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2004/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+a^2 z^4-z^4 a^{-2} -z^4 a^{-4} -6 z^4+4 a^2 z^2-z^2 a^{-4} +z^2 a^{-6} -9 z^2+3 a^2+2 a^{-2} - a^{-4} + a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+z^{10} a^{-2} +2 z^{10}-9 a z^9-9 z^9 a^{-1} -9 a^2 z^8-9 z^8 a^{-2} +z^8 a^{-4} -19 z^8+27 a z^7+26 z^7 a^{-1} +2 z^7 a^{-3} +3 z^7 a^{-5} +28 a^2 z^6+28 z^6 a^{-2} +3 z^6 a^{-6} +59 z^6-33 a z^5-27 z^5 a^{-1} -4 z^5 a^{-3} -8 z^5 a^{-5} +2 z^5 a^{-7} -37 a^2 z^4-30 z^4 a^{-2} -2 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} -72 z^4+16 a z^3+9 z^3 a^{-1} +7 z^3 a^{-3} +11 z^3 a^{-5} -3 z^3 a^{-7} +20 a^2 z^2+10 z^2 a^{-2} +5 z^2 a^{-4} +5 z^2 a^{-6} -2 z^2 a^{-8} +32 z^2-2 a z-2 z a^{-1} -3 z a^{-3} -3 z a^{-5} -3 a^2-2 a^{-2} - a^{-4} - a^{-6} -4 }[/math] |
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