K12n463
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+4 q^2-7 q+10-12 q^{-1} +13 q^{-2} -11 q^{-3} +9 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-18 t+25-18 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4+z^2+1 }[/math] |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-4 z^2 a^2-a^2+2 z^4+3 z^2+1-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+9 a^3 z^9+5 a z^9+3 a^6 z^8-a^4 z^8+4 z^8+a^7 z^7-15 a^5 z^7-36 a^3 z^7-19 a z^7+z^7 a^{-1} -12 a^6 z^6-19 a^4 z^6-19 a^2 z^6-12 z^6-4 a^7 z^5+14 a^5 z^5+45 a^3 z^5+30 a z^5+3 z^5 a^{-1} +13 a^6 z^4+28 a^4 z^4+29 a^2 z^4+4 z^4 a^{-2} +18 z^4+4 a^7 z^3-5 a^5 z^3-24 a^3 z^3-20 a z^3-4 z^3 a^{-1} +z^3 a^{-3} -6 a^6 z^2-13 a^4 z^2-13 a^2 z^2-3 z^2 a^{-2} -9 z^2-a^7 z+a^5 z+5 a^3 z+4 a z+z a^{-1} +a^6+2 a^4+a^2+1 }[/math] |
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