K12n379
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+3 q^{-1} -5 q^{-2} +9 q^{-3} -9 q^{-4} +10 q^{-5} -10 q^{-6} +7 q^{-7} -5 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+14 t-17+14 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+5 z^4+4 z^2+1 }[/math] |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8+z^6 a^6+3 z^4 a^6+z^2 a^6-3 a^6+z^6 a^4+4 z^4 a^4+7 z^2 a^4+5 a^4-z^4 a^2-2 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-13 z^6 a^{10}+15 z^4 a^{10}-4 z^2 a^{10}+3 z^9 a^9-11 z^7 a^9+9 z^5 a^9-z^3 a^9-z a^9+z^{10} a^8+2 z^8 a^8-18 z^6 a^8+19 z^4 a^8-4 z^2 a^8+5 z^9 a^7-17 z^7 a^7+15 z^5 a^7-3 z^3 a^7-4 z a^7+z^{10} a^6+z^8 a^6-10 z^6 a^6+11 z^4 a^6-6 z^2 a^6+3 a^6+2 z^9 a^5-4 z^7 a^5+z^5 a^5+6 z^3 a^5-6 z a^5+2 z^8 a^4-5 z^6 a^4+10 z^4 a^4-9 z^2 a^4+5 a^4+z^7 a^3-z^5 a^3+5 z^3 a^3-3 z a^3+3 z^4 a^2-3 z^2 a^2+a^2+z^3 a-z a }[/math] |
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