K13n1690
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Polynomial invariants
| Jones polynomial | Data:K13n1690/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-2 t^2-3 t+7-3 t^{-1} -2 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1690/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -7 z^6+5 a^2 z^4+7 z^4 a^{-2} -16 z^4+6 a^2 z^2+12 z^2 a^{-2} -2 z^2 a^{-4} -16 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+2 a z^9+a^4 z^8-6 a^2 z^8-2 z^8 a^{-2} -9 z^8-13 a^3 z^7-15 a z^7-2 z^7 a^{-1} -6 a^4 z^6+9 a^2 z^6+14 z^6 a^{-2} +2 z^6 a^{-4} +27 z^6+25 a^3 z^5+33 a z^5+10 z^5 a^{-1} +3 z^5 a^{-3} +z^5 a^{-5} +10 a^4 z^4-4 a^2 z^4-30 z^4 a^{-2} -7 z^4 a^{-4} -37 z^4-16 a^3 z^3-26 a z^3-16 z^3 a^{-1} -9 z^3 a^{-3} -3 z^3 a^{-5} -4 a^4 z^2+4 a^2 z^2+22 z^2 a^{-2} +6 z^2 a^{-4} +24 z^2+3 a^3 z+7 a z+7 z a^{-1} +5 z a^{-3} +2 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math] |
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