K12n451
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+3 q^{-1} -4 q^{-2} +6 q^{-3} -6 q^{-4} +6 q^{-5} -4 q^{-6} +3 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+8 t-11+8 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4+5 z^2+1 }[/math] |
| Determinant | 35 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6-2 z^2 a^6-a^6+z^6 a^4+5 z^4 a^4+9 z^2 a^4+4 a^4-z^4 a^2-2 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^9-10 z^3 a^9+6 z a^9+z^8 a^8-2 z^6 a^8-2 z^4 a^8+3 z^2 a^8-a^8+z^9 a^7-4 z^7 a^7+10 z^5 a^7-16 z^3 a^7+7 z a^7+3 z^8 a^6-11 z^6 a^6+15 z^4 a^6-8 z^2 a^6+a^6+z^9 a^5-3 z^7 a^5+5 z^5 a^5-2 z^3 a^5+2 z^8 a^4-9 z^6 a^4+20 z^4 a^4-15 z^2 a^4+4 a^4+z^7 a^3-2 z^5 a^3+5 z^3 a^3-2 z a^3+3 z^4 a^2-4 z^2 a^2+a^2+z^3 a-z a }[/math] |
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