K12n85
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^2-5 q+8-10 q^{-1} +11 q^{-2} -10 q^{-3} +9 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4+1 }[/math] |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+3 z^4 a^4+9 z^2 a^4+6 a^4-2 z^6 a^2-9 z^4 a^2-13 z^2 a^2-6 a^2+2 z^4+5 z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+6 a^3 z^9+3 a z^9+3 a^6 z^8+5 a^4 z^8+4 a^2 z^8+2 z^8+a^7 z^7-8 a^5 z^7-20 a^3 z^7-11 a z^7-12 a^6 z^6-32 a^4 z^6-28 a^2 z^6-8 z^6-4 a^7 z^5-2 a^5 z^5+15 a^3 z^5+14 a z^5+z^5 a^{-1} +14 a^6 z^4+42 a^4 z^4+44 a^2 z^4+16 z^4+5 a^7 z^3+9 a^5 z^3-2 a^3 z^3-4 a z^3+2 z^3 a^{-1} -7 a^6 z^2-24 a^4 z^2-28 a^2 z^2+z^2 a^{-2} -10 z^2-2 a^7 z-3 a^5 z-a^3 z-a z-z a^{-1} +2 a^6+6 a^4+6 a^2+3 }[/math] |
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