K12n433
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 1- q^{-1} + q^{-2} - q^{-4} +2 q^{-5} -2 q^{-6} +3 q^{-7} -3 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2+4 t-9+4 t^{-1} +2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-4 z^4+3 z^2+1 }[/math] |
| Determinant | 11 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8+a^8+2 z^2 a^6+a^6-z^6 a^4-5 z^4 a^4-5 z^2 a^4-2 a^4+z^4 a^2+4 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}+a^{10}+2 z^9 a^9-10 z^7 a^9+11 z^5 a^9-3 z^3 a^9+z a^9+z^{10} a^8-4 z^8 a^8-z^6 a^8+9 z^4 a^8-5 z^2 a^8+a^8+3 z^9 a^7-19 z^7 a^7+34 z^5 a^7-23 z^3 a^7+5 z a^7+z^{10} a^6-6 z^8 a^6+9 z^6 a^6-6 z^4 a^6+3 z^2 a^6-a^6+z^9 a^5-7 z^7 a^5+13 z^5 a^5-10 z^3 a^5+2 z a^5+z^6 a^4-8 z^4 a^4+9 z^2 a^4-2 a^4+z^7 a^3-5 z^5 a^3+4 z^3 a^3+z^6 a^2-5 z^4 a^2+6 z^2 a^2-2 a^2 }[/math] |
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