K13n1720
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Polynomial invariants
| Jones polynomial | Data:K13n1720/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-5 t^2+t+3+ t^{-1} -5 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1720/Conway Polynomial |
| Determinant | 19 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+6 a^2 z^4+4 z^4 a^{-2} -11 z^4-2 a^4 z^2+9 a^2 z^2+3 z^2 a^{-2} -9 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/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^9-2 z^9 a^{-1} +3 z^9 a^{-3} -8 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -26 z^8-a^3 z^7+a z^7-15 z^7 a^{-1} -17 z^7 a^{-3} +a^4 z^6+21 a^2 z^6+25 z^6 a^{-2} -5 z^6 a^{-4} +50 z^6+a^5 z^5+5 a^3 z^5+17 a z^5+39 z^5 a^{-1} +26 z^5 a^{-3} -6 a^4 z^4-29 a^2 z^4-10 z^4 a^{-2} +6 z^4 a^{-4} -39 z^4-4 a^5 z^3-13 a^3 z^3-24 a z^3-27 z^3 a^{-1} -12 z^3 a^{-3} +7 a^4 z^2+18 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +15 z^2+3 a^5 z+7 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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