K12n813
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 3 q^2-7 q+10-13 q^{-1} +14 q^{-2} -12 q^{-3} +11 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+3 z^4 a^4+8 z^2 a^4+5 a^4-2 z^6 a^2-8 z^4 a^2-10 z^2 a^2-3 a^2+2 z^4+3 z^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+9 a^3 z^9+5 a z^9+3 a^6 z^8+a^4 z^8+a^2 z^8+3 z^8+a^7 z^7-12 a^5 z^7-31 a^3 z^7-18 a z^7-11 a^6 z^6-23 a^4 z^6-20 a^2 z^6-8 z^6-4 a^7 z^5+5 a^5 z^5+30 a^3 z^5+24 a z^5+3 z^5 a^{-1} +12 a^6 z^4+28 a^4 z^4+26 a^2 z^4+10 z^4+5 a^7 z^3+3 a^5 z^3-12 a^3 z^3-9 a z^3+z^3 a^{-1} -6 a^6 z^2-15 a^4 z^2-12 a^2 z^2+3 z^2 a^{-2} -2 a^7 z-2 a^5 z-2 a z-2 z a^{-1} +2 a^6+5 a^4+3 a^2- a^{-2} }[/math] |
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