K13n3568
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Polynomial invariants
| Jones polynomial | Data:K13n3568/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-15 t+19-15 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3568/Conway Polynomial |
| Determinant | 69 |
| 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} -3 z^4+2 a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-5 a z^9-z^9 a^{-1} +4 z^9 a^{-3} -7 a^2 z^8-12 z^8 a^{-2} +4 z^8 a^{-4} -23 z^8+7 a z^7-10 z^7 a^{-1} -14 z^7 a^{-3} +3 z^7 a^{-5} +20 a^2 z^6+17 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} +51 z^6+2 a^3 z^5+8 a z^5+30 z^5 a^{-1} +14 z^5 a^{-3} -10 z^5 a^{-5} -21 a^2 z^4-8 z^4 a^{-2} +9 z^4 a^{-4} -3 z^4 a^{-6} -41 z^4-4 a^3 z^3-15 a z^3-23 z^3 a^{-1} -6 z^3 a^{-3} +6 z^3 a^{-5} +8 a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +12 z^2+2 a^3 z+5 a z+5 z a^{-1} +2 z a^{-3} -a^2- a^{-2} -1 }[/math] |
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