K12n478
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+2 q^6-3 q^5+4 q^4-4 q^3+5 q^2-4 q+3-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-7 t+11-7 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+z^2+1 }[/math] |
| Determinant | 29 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-2} +z^4 a^{-4} +2 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -2 z^2+a^2+2 a^{-2} + a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +3 z^9 a^{-3} +2 z^9 a^{-5} -6 z^8 a^{-2} -4 z^8 a^{-4} +2 z^8 a^{-6} -6 z^7 a^{-1} -17 z^7 a^{-3} -10 z^7 a^{-5} +z^7 a^{-7} +14 z^6 a^{-2} +3 z^6 a^{-4} -10 z^6 a^{-6} +z^6+13 z^5 a^{-1} +32 z^5 a^{-3} +14 z^5 a^{-5} -5 z^5 a^{-7} -17 z^4 a^{-2} +13 z^4 a^{-6} -4 z^4+a z^3-11 z^3 a^{-1} -26 z^3 a^{-3} -8 z^3 a^{-5} +6 z^3 a^{-7} +a^2 z^2+9 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2 a^{-6} +7 z^2+3 z a^{-1} +6 z a^{-3} +2 z a^{-5} -z a^{-7} -a^2-2 a^{-2} + a^{-4} + a^{-6} -2 }[/math] |
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