K12n782
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-3 q^3+7 q^2-10 q+13-14 q^{-1} +12 q^{-2} -10 q^{-3} +7 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-18 t+25-18 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4-4 z^2+1 }[/math] |
| Determinant | 81 |
| 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} -3 z^4+2 a^4 z^2-4 a^2 z^2+2 z^2 a^{-2} -4 z^2+2 a^4-2 a^2+2 a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+4 a^3 z^9+5 a z^9+z^9 a^{-1} +5 a^4 z^8+5 a^2 z^8+3 a^5 z^7-10 a^3 z^7-12 a z^7+z^7 a^{-1} +a^6 z^6-15 a^4 z^6-20 a^2 z^6+6 z^6 a^{-2} +2 z^6-8 a^5 z^5+9 a^3 z^5+14 a z^5+3 z^5 a^{-3} -3 a^6 z^4+14 a^4 z^4+24 a^2 z^4-9 z^4 a^{-2} +z^4 a^{-4} -3 z^4+4 a^5 z^3-9 a^3 z^3-9 a z^3+z^3 a^{-1} -3 z^3 a^{-3} +2 a^6 z^2-9 a^4 z^2-14 a^2 z^2+6 z^2 a^{-2} -z^2 a^{-4} +4 z^2+4 a^3 z+4 a z+2 a^4+2 a^2-2 a^{-2} -1 }[/math] |
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