K12n794
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^4-5 q^3+10 q^2-14 q+16-17 q^{-1} +15 q^{-2} -11 q^{-3} +7 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-23 t+33-23 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4-5 z^2+1 }[/math] |
| Determinant | 101 |
| 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^2-5 a^2 z^2-2 z^2+2 a^4-2 a^2+ a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+4 a^3 z^9+6 a z^9+2 z^9 a^{-1} +5 a^4 z^8+8 a^2 z^8+2 z^8 a^{-2} +5 z^8+3 a^5 z^7-7 a^3 z^7-7 a z^7+4 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-14 a^4 z^6-23 a^2 z^6+3 z^6 a^{-2} -5 z^6-8 a^5 z^5+4 a^3 z^5-9 z^5 a^{-1} +3 z^5 a^{-3} -3 a^6 z^4+14 a^4 z^4+21 a^2 z^4-5 z^4 a^{-2} +3 z^4 a^{-4} -4 z^4+5 a^5 z^3-5 a^3 z^3+a z^3+8 z^3 a^{-1} -3 z^3 a^{-3} +2 a^6 z^2-8 a^4 z^2-11 a^2 z^2+2 z^2 a^{-2} -4 z^2 a^{-4} +5 z^2+2 a^3 z-a z-3 z a^{-1} +2 a^4+2 a^2+ a^{-4} }[/math] |
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