K12n184
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-5 q^2+7 q-8+8 q^{-1} -6 q^{-2} +5 q^{-3} -2 q^{-4} + q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+10 t-13+10 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+3 z^2+1 }[/math] |
| Determinant | 43 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+z^4 a^4+5 z^2 a^4+4 a^4-2 z^4 a^2-5 z^2 a^2-3 a^2+z^6+4 z^4+6 z^2+3-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+5 a z^9+3 z^9 a^{-1} +a^6 z^8+a^4 z^8-a^2 z^8+3 z^8 a^{-2} +2 z^8+a^7 z^7-11 a^3 z^7-22 a z^7-11 z^7 a^{-1} +z^7 a^{-3} -7 a^6 z^6-9 a^4 z^6-12 a^2 z^6-13 z^6 a^{-2} -23 z^6-6 a^7 z^5-5 a^5 z^5+17 a^3 z^5+27 a z^5+7 z^5 a^{-1} -4 z^5 a^{-3} +12 a^6 z^4+20 a^4 z^4+25 a^2 z^4+15 z^4 a^{-2} +32 z^4+9 a^7 z^3+12 a^5 z^3-7 a^3 z^3-13 a z^3+z^3 a^{-1} +4 z^3 a^{-3} -7 a^6 z^2-14 a^4 z^2-17 a^2 z^2-6 z^2 a^{-2} -16 z^2-4 a^7 z-5 a^5 z+a z-z a^{-1} -z a^{-3} +2 a^6+4 a^4+3 a^2+ a^{-2} +3 }[/math] |
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