K12n109
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-8+12 q^{-1} -15 q^{-2} +17 q^{-3} -15 q^{-4} +13 q^{-5} -8 q^{-6} +4 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+23 t-31+23 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4+5 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6-z^2 a^6-a^6+z^6 a^4+3 z^4 a^4+6 z^2 a^4+4 a^4+z^6 a^2+2 z^4 a^2+z^2 a^2-a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+6 a^5 z^9+4 a^3 z^9+a^8 z^8+3 a^6 z^8+9 a^4 z^8+7 a^2 z^8-5 a^7 z^7-12 a^5 z^7+7 a z^7-12 a^6 z^6-27 a^4 z^6-11 a^2 z^6+4 z^6+3 a^9 z^5+12 a^7 z^5+11 a^5 z^5-11 a^3 z^5-12 a z^5+z^5 a^{-1} -3 a^8 z^4+20 a^6 z^4+34 a^4 z^4+5 a^2 z^4-6 z^4-9 a^9 z^3-17 a^7 z^3-2 a^5 z^3+11 a^3 z^3+4 a z^3-z^3 a^{-1} +a^8 z^2-13 a^6 z^2-18 a^4 z^2-3 a^2 z^2+z^2+6 a^9 z+7 a^7 z-2 a^3 z-a z-a^8+a^6+4 a^4+a^2 }[/math] |
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