K12n628
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+5 q^2-9 q+14-17 q^{-1} +17 q^{-2} -16 q^{-3} +13 q^{-4} -8 q^{-5} +4 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-25 t+37-25 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^4-2 z^2+1 }[/math] |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+2 z^2 a^4+a^4-z^6 a^2-2 z^4 a^2-3 z^2 a^2-a^2+2 z^4+z^2-z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^4 z^{10}+3 a^2 z^{10}+6 a^5 z^9+14 a^3 z^9+8 a z^9+4 a^6 z^8+a^4 z^8+4 a^2 z^8+7 z^8+a^7 z^7-20 a^5 z^7-48 a^3 z^7-25 a z^7+2 z^7 a^{-1} -14 a^6 z^6-32 a^4 z^6-38 a^2 z^6-20 z^6-3 a^7 z^5+17 a^5 z^5+48 a^3 z^5+30 a z^5+2 z^5 a^{-1} +14 a^6 z^4+40 a^4 z^4+48 a^2 z^4+5 z^4 a^{-2} +27 z^4+2 a^7 z^3-6 a^5 z^3-21 a^3 z^3-16 a z^3-2 z^3 a^{-1} +z^3 a^{-3} -5 a^6 z^2-16 a^4 z^2-19 a^2 z^2-3 z^2 a^{-2} -11 z^2+a^5 z+5 a^3 z+5 a z+z a^{-1} +a^4+a^2- a^{-2} }[/math] |
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