K12n118
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-3 q^2+3 q-2+2 q^{-1} +2 q^{-4} -2 q^{-5} + q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-3 t^2+3-3 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+9 z^4+6 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6-2 z^2 a^4-2 a^4+z^6 a^2+6 z^4 a^2+10 z^2 a^2+6 a^2+z^6+4 z^4+2 z^2-1-z^4 a^{-2} -3 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+3 a z^9+2 z^9 a^{-1} +a^6 z^8-7 a^2 z^8+2 z^8 a^{-2} -4 z^8+a^7 z^7+2 a^5 z^7-8 a^3 z^7-20 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -5 a^6 z^6+a^4 z^6+15 a^2 z^6-10 z^6 a^{-2} -z^6-6 a^7 z^5-11 a^5 z^5+18 a^3 z^5+39 a z^5+11 z^5 a^{-1} -5 z^5 a^{-3} +6 a^6 z^4-9 a^4 z^4-19 a^2 z^4+12 z^4 a^{-2} +8 z^4+11 a^7 z^3+14 a^5 z^3-19 a^3 z^3-31 a z^3-3 z^3 a^{-1} +6 z^3 a^{-3} -2 a^6 z^2+10 a^4 z^2+15 a^2 z^2-5 z^2 a^{-2} -2 z^2-6 a^7 z-5 a^5 z+7 a^3 z+9 a z+z a^{-1} -2 z a^{-3} +a^6-2 a^4-6 a^2+ a^{-2} -1 }[/math] |
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