K12n868
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+5 q^4-6 q^3+6 q^2-6 q+5-2 q^{-1} + q^{-2} + q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-8 t+13-8 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+1 }[/math] |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +7 z^4-4 a^2 z^2-10 z^2 a^{-2} +2 z^2 a^{-4} +12 z^2-2 a^2-6 a^{-2} +2 a^{-4} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^9 a^{-1} +2 z^9 a^{-3} +a^2 z^8+6 z^8 a^{-2} +4 z^8 a^{-4} +3 z^8+a^3 z^7-9 z^7 a^{-1} -5 z^7 a^{-3} +3 z^7 a^{-5} -8 a^2 z^6-29 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} -21 z^6-6 a^3 z^5-4 a z^5+8 z^5 a^{-1} -4 z^5 a^{-3} -10 z^5 a^{-5} +17 a^2 z^4+44 z^4 a^{-2} +13 z^4 a^{-4} -3 z^4 a^{-6} +45 z^4+8 a^3 z^3+10 a z^3+6 z^3 a^{-1} +10 z^3 a^{-3} +6 z^3 a^{-5} -13 a^2 z^2-26 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -32 z^2-2 a^3 z-4 a z-4 z a^{-1} -4 z a^{-3} -2 z a^{-5} +2 a^2+6 a^{-2} +2 a^{-4} +7 }[/math] |
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