K12n773
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2-4 q^{-1} +8 q^{-2} -11 q^{-3} +14 q^{-4} -15 q^{-5} +13 q^{-6} -11 q^{-7} +7 q^{-8} -3 q^{-9} + q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-19 t+23-19 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-7 z^4-2 z^2+1 }[/math] |
| Determinant | 89 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^8+2 z^2 a^8+a^8-z^6 a^6-2 z^4 a^6-2 z^6 a^4-8 z^4 a^4-10 z^2 a^4-4 a^4+2 z^4 a^2+6 z^2 a^2+4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+3 z^5 a^{11}-2 z^3 a^{11}+6 z^6 a^{10}-7 z^4 a^{10}+4 z^2 a^{10}+8 z^7 a^9-13 z^5 a^9+11 z^3 a^9-3 z a^9+7 z^8 a^8-11 z^6 a^8+8 z^4 a^8-3 z^2 a^8+a^8+4 z^9 a^7-3 z^7 a^7-2 z^5 a^7-z a^7+z^{10} a^6+6 z^8 a^6-17 z^6 a^6+11 z^4 a^6-4 z^2 a^6+5 z^9 a^5-12 z^7 a^5+11 z^5 a^5-12 z^3 a^5+5 z a^5+z^{10} a^4-z^8 a^4+3 z^6 a^4-16 z^4 a^4+16 z^2 a^4-4 a^4+z^9 a^3-z^7 a^3-3 z^5 a^3+z^3 a^3+3 z a^3+3 z^6 a^2-11 z^4 a^2+12 z^2 a^2-4 a^2 }[/math] |
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