K13n1576
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Polynomial invariants
| Jones polynomial | Data:K13n1576/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-2 t^2-2 t+5-2 t^{-1} -2 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1576/Conway Polynomial |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -7 z^6+a^4 z^4+7 a^2 z^4+5 z^4 a^{-2} -17 z^4-a^6 z^2+a^4 z^2+13 a^2 z^2+7 z^2 a^{-2} -19 z^2-a^6-a^4+8 a^2+3 a^{-2} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+a^5 z^9+a^3 z^9-5 a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +2 a^6 z^8+2 a^4 z^8-16 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -28 z^8+a^7 z^7-3 a^5 z^7-7 a^3 z^7-a z^7-10 z^7 a^{-1} -12 z^7 a^{-3} -10 a^6 z^6-10 a^4 z^6+40 a^2 z^6+15 z^6 a^{-2} -6 z^6 a^{-4} +61 z^6-5 a^7 z^5-4 a^5 z^5+11 a^3 z^5+23 a z^5+34 z^5 a^{-1} +21 z^5 a^{-3} +13 a^6 z^4+8 a^4 z^4-48 a^2 z^4-7 z^4 a^{-2} +10 z^4 a^{-4} -60 z^4+7 a^7 z^3+10 a^5 z^3-10 a^3 z^3-30 a z^3-32 z^3 a^{-1} -15 z^3 a^{-3} -5 a^6 z^2+a^4 z^2+27 a^2 z^2+5 z^2 a^{-2} -5 z^2 a^{-4} +31 z^2-3 a^7 z-3 a^5 z+4 a^3 z+11 a z+12 z a^{-1} +5 z a^{-3} +a^6-a^4-8 a^2-3 a^{-2} -8 }[/math] |
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