K12n511
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-4 q^3+8 q^2-11 q+14-14 q^{-1} +13 q^{-2} -10 q^{-3} +6 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-19 t+25-19 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4-z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-3 a^2 z^4+z^4 a^{-2} -2 z^4+2 a^4 z^2-4 a^2 z^2+z^2 a^{-2} +a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+5 a z^9+2 z^9 a^{-1} +4 a^4 z^8+5 a^2 z^8+z^8 a^{-2} +2 z^8+3 a^5 z^7-3 a^3 z^7-9 a z^7-3 z^7 a^{-1} +a^6 z^6-10 a^4 z^6-18 a^2 z^6+2 z^6 a^{-2} -5 z^6-9 a^5 z^5-8 a^3 z^5+4 a z^5+7 z^5 a^{-1} +4 z^5 a^{-3} -3 a^6 z^4+6 a^4 z^4+19 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} +8 z^4+7 a^5 z^3+10 a^3 z^3+4 a z^3-3 z^3 a^{-1} -4 z^3 a^{-3} +2 a^6 z^2-3 a^4 z^2-10 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -5 z^2-2 a^5 z-4 a^3 z-3 a z-z a^{-1} +a^4+2 a^2+2 }[/math] |
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