K12a732
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-5+9 q^{-1} -12 q^{-2} +14 q^{-3} -14 q^{-4} +13 q^{-5} -10 q^{-6} +7 q^{-7} -4 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+21 t-25+21 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+7 z^4+4 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-2 a^8+z^6 a^6+4 z^4 a^6+6 z^2 a^6+3 a^6+z^6 a^4+2 z^4 a^4-a^4+z^6 a^2+3 z^4 a^2+3 z^2 a^2+a^2-z^4-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+11 z^4 a^{10}-4 z^2 a^{10}+2 z^9 a^9-6 z^7 a^9+6 z^3 a^9-2 z a^9+2 z^{10} a^8-7 z^8 a^8+9 z^6 a^8-12 z^4 a^8+9 z^2 a^8-2 a^8+z^{11} a^7-z^9 a^7-5 z^7 a^7+10 z^5 a^7-9 z^3 a^7+2 z a^7+5 z^{10} a^6-23 z^8 a^6+46 z^6 a^6-44 z^4 a^6+18 z^2 a^6-3 a^6+z^{11} a^5+z^9 a^5-13 z^7 a^5+29 z^5 a^5-19 z^3 a^5+2 z a^5+3 z^{10} a^4-10 z^8 a^4+18 z^6 a^4-12 z^4 a^4+5 z^2 a^4-a^4+4 z^9 a^3-11 z^7 a^3+15 z^5 a^3-6 z^3 a^3+z a^3+4 z^8 a^2-7 z^6 a^2+2 z^4 a^2+3 z^2 a^2-a^2+4 z^7 a-8 z^5 a+3 z^3 a+3 z^6-7 z^4+3 z^2+z^5 a^{-1} -2 z^3 a^{-1} }[/math] |
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