K12n224
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+4 q^2-7 q+11-13 q^{-1} +13 q^{-2} -12 q^{-3} +10 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+3 z^4 a^4+9 z^2 a^4+7 a^4-2 z^6 a^2-9 z^4 a^2-15 z^2 a^2-9 a^2+3 z^4+8 z^2+6-z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+7 a^3 z^9+4 a z^9+3 a^6 z^8+7 a^4 z^8+9 a^2 z^8+5 z^8+a^7 z^7-7 a^5 z^7-19 a^3 z^7-9 a z^7+2 z^7 a^{-1} -12 a^6 z^6-38 a^4 z^6-44 a^2 z^6-18 z^6-4 a^7 z^5-4 a^5 z^5+6 a^3 z^5+3 a z^5-3 z^5 a^{-1} +15 a^6 z^4+50 a^4 z^4+64 a^2 z^4+4 z^4 a^{-2} +33 z^4+5 a^7 z^3+11 a^5 z^3+7 a^3 z^3+7 a z^3+7 z^3 a^{-1} +z^3 a^{-3} -8 a^6 z^2-30 a^4 z^2-41 a^2 z^2-4 z^2 a^{-2} -23 z^2-2 a^7 z-4 a^5 z-3 a^3 z-3 a z-3 z a^{-1} -z a^{-3} +2 a^6+7 a^4+9 a^2+ a^{-2} +6 }[/math] |
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