K12n377
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-5 q^2+6 q-6+7 q^{-1} -5 q^{-2} +4 q^{-3} -2 q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+9 t-11+9 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-z^4 a^{-2} +4 z^4-a^2 z^2-2 z^2 a^{-2} +5 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+4 a z^9+3 z^9 a^{-1} -3 a^2 z^8+3 z^8 a^{-2} -5 a^3 z^7-18 a z^7-12 z^7 a^{-1} +z^7 a^{-3} -2 a^2 z^6-13 z^6 a^{-2} -15 z^6+8 a^3 z^5+21 a z^5+9 z^5 a^{-1} -4 z^5 a^{-3} +8 a^2 z^4+14 z^4 a^{-2} +22 z^4-a^5 z^3-6 a^3 z^3-8 a z^3+z^3 a^{-1} +4 z^3 a^{-3} +a^4 z^2-4 a^2 z^2-5 z^2 a^{-2} -10 z^2+2 a^5 z+3 a^3 z+a z-z a^{-1} -z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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